65.062 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.040 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.043 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.045 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.047 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.049 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.051 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.053 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.054 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.076 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.085 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.088 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.099 * * * [progress]: generating series expansions 0.099 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.099 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.099 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.099 * [taylor]: Taking taylor expansion of 0.5 in x 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.101 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.101 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.101 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.101 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.101 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.101 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (* x x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.110 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.110 * [taylor]: Taking taylor expansion of 0.5 in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.111 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.111 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.111 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.111 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.111 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.111 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of (* x x) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [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 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.354 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.354 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.354 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.354 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.354 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.354 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.360 * [taylor]: Taking taylor expansion of 0.5 in x 0.360 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.361 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.361 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.361 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.361 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.361 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.361 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.366 * [taylor]: Taking taylor expansion of 0.5 in x 0.404 * [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 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.404 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.404 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.404 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.404 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.404 * [taylor]: Taking taylor expansion of -1 in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.405 * [taylor]: Taking taylor expansion of -1 in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.410 * [taylor]: Taking taylor expansion of 0.5 in x 0.414 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.414 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.414 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.414 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.414 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.414 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.414 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.414 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.414 * [taylor]: Taking taylor expansion of -1 in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.415 * [taylor]: Taking taylor expansion of -1 in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.420 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.420 * [taylor]: Taking taylor expansion of 0.5 in x 0.457 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.457 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.457 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.457 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.457 * [taylor]: Taking taylor expansion of 0.5 in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.458 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.458 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.458 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.458 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.458 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.458 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (* x x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.467 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.468 * [taylor]: Taking taylor expansion of 0.5 in x 0.468 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.468 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.468 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.468 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (* x x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.647 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.647 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.647 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.647 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.648 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.648 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.648 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.648 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.653 * [taylor]: Taking taylor expansion of 0.5 in x 0.654 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.654 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.654 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.654 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.654 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.654 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.654 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.654 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.660 * [taylor]: Taking taylor expansion of 0.5 in x 0.683 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.683 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.683 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.683 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.683 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.683 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.683 * [taylor]: Taking taylor expansion of -1 in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.684 * [taylor]: Taking taylor expansion of -1 in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of 1.0 in x 0.689 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.689 * [taylor]: Taking taylor expansion of 0.5 in x 0.690 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.690 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.690 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.690 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.690 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.690 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.690 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.690 * [taylor]: Taking taylor expansion of -1 in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.691 * [taylor]: Taking taylor expansion of -1 in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.696 * [taylor]: Taking taylor expansion of 0.5 in x 0.723 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.723 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.723 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.723 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.723 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.723 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of (* x x) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.726 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.726 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.726 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of (* x x) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.767 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.767 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.767 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.767 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.767 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.771 * [taylor]: Taking taylor expansion of 1.0 in x 0.771 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.771 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.771 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.771 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.771 * [taylor]: Taking taylor expansion of 1.0 in x 0.771 * [taylor]: Taking taylor expansion of 1.0 in x 0.771 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.798 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.798 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.798 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.798 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.798 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.798 * [taylor]: Taking taylor expansion of -1 in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.798 * [taylor]: Taking taylor expansion of -1 in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.802 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.802 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.802 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.802 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.802 * [taylor]: Taking taylor expansion of -1 in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.802 * [taylor]: Taking taylor expansion of -1 in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.826 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.826 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.826 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.826 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.826 * [taylor]: Taking taylor expansion of 1.0 in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.826 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.826 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.826 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.826 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.826 * [taylor]: Taking taylor expansion of 1.0 in x 0.826 * [taylor]: Taking taylor expansion of 1.0 in x 0.826 * [taylor]: Taking taylor expansion of (* x x) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of 1.0 in x 0.829 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.829 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.829 * [taylor]: Taking taylor expansion of 1.0 in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.829 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.829 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.829 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.829 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.829 * [taylor]: Taking taylor expansion of 1.0 in x 0.829 * [taylor]: Taking taylor expansion of 1.0 in x 0.829 * [taylor]: Taking taylor expansion of (* x x) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.894 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.894 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.894 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.895 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.895 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.895 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.895 * [taylor]: Taking taylor expansion of 1.0 in x 0.895 * [taylor]: Taking taylor expansion of 1.0 in x 0.895 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.898 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.898 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.898 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.898 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.898 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.913 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.913 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.913 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.913 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.913 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.913 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.913 * [taylor]: Taking taylor expansion of -1 in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.913 * [taylor]: Taking taylor expansion of -1 in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.916 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.917 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.917 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.917 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.917 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.917 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.917 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.931 * * * [progress]: simplifying candidates 0.934 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cbrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* (cbrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (sqrt (cbrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (* (cbrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (cbrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* (cbrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 1)))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 1) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 1))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (sqrt (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 1))))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 1)) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 1)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 1))))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 1)) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 1)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* (cbrt 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* (cbrt 0.5) (cbrt 0.5)))))) (fma (- (sqrt (* (cbrt 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* (cbrt 0.5) (cbrt 0.5))) (* (sqrt (* (cbrt 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* (cbrt 0.5) (cbrt 0.5))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* (sqrt 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (sqrt 0.5))))) (fma (- (sqrt (* (sqrt 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt 0.5)) (* (sqrt (* (sqrt 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (sqrt 0.5)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 1)))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 1) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 1))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (fma (- (sqrt 0.5)) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- 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1.0 (hypot 1.0 x)))) (fabs (cbrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (cbrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (fabs (cbrt 0.5)) (sqrt (* (cbrt 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (sqrt 0.5)) (sqrt (* (sqrt 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 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) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (fma 1.0 1.0 (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (fma 1.0 (/ 1 x) (- (/ 0.5 (pow x 3))))) (- (/ 0.5 (pow x 3)) (fma 0.375 (/ 1 (pow x 5)) (* 1.0 (/ 1 x)))) (fma 1.0 (/ 1 (sqrt 1.0)) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) 1.0) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (fma 1.0 (/ 1 x) (- 1.0 (/ 0.5 (pow x 3)))) (+ (/ 0.5 (pow x 3)) (+ 1.0 (/ (- 1.0) x))) 1.027 * * * [progress]: adding candidates to table 1.282 * * [progress]: iteration 2 / 4 1.282 * * * [progress]: picking best candidate 1.291 * * * * [pick]: Picked # 1.291 * * * [progress]: localizing error 1.306 * * * [progress]: generating rewritten candidates 1.306 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.307 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.319 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.322 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.327 * * * [progress]: generating series expansions 1.327 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.328 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.328 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.329 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.329 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.329 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.329 * [taylor]: Taking taylor expansion of 0.5 in x 1.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.329 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.329 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.329 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.329 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of (* x x) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.332 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.333 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.333 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.333 * [taylor]: Taking taylor expansion of 0.5 in x 1.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.333 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.333 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.333 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.333 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.333 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (* x x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.425 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.425 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.426 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.426 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.426 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.426 * [taylor]: Taking taylor expansion of 0.5 in x 1.426 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.426 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.426 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.426 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.426 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.426 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.426 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.426 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.429 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.429 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.429 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.429 * [taylor]: Taking taylor expansion of 0.5 in x 1.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.430 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.430 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.430 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.430 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of 1.0 in x 1.433 * [taylor]: Taking taylor expansion of 1.0 in x 1.452 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.453 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.453 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.453 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.453 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.453 * [taylor]: Taking taylor expansion of 0.5 in x 1.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.453 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.453 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.453 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.453 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.453 * [taylor]: Taking taylor expansion of -1 in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.453 * [taylor]: Taking taylor expansion of -1 in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.460 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.460 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.460 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.460 * [taylor]: Taking taylor expansion of 0.5 in x 1.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.460 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.460 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.460 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.460 * [taylor]: Taking taylor expansion of -1 in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.460 * [taylor]: Taking taylor expansion of -1 in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of 1.0 in x 1.464 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.483 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 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)) in (x) around 0 1.483 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 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)) in x 1.483 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.483 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.483 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.483 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.483 * [taylor]: Taking taylor expansion of 0.5 in x 1.483 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.483 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.483 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.483 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.483 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.483 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of (* x x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.486 * [taylor]: Taking taylor expansion of 1.0 in x 1.486 * [taylor]: Taking taylor expansion of 1.0 in x 1.486 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.487 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.487 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.487 * [taylor]: Taking taylor expansion of 0.5 in x 1.487 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.487 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.487 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.487 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.488 * [taylor]: Taking taylor expansion of 1.0 in x 1.488 * [taylor]: Taking taylor expansion of 1.0 in x 1.488 * [taylor]: Taking taylor expansion of (* x x) in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 1.497 * [taylor]: Taking taylor expansion of 1.0 in x 1.516 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 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)) in x 1.516 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.516 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.517 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.517 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.517 * [taylor]: Taking taylor expansion of 0.5 in x 1.517 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.517 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.517 * [taylor]: Taking taylor expansion of 1.0 in x 1.517 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.517 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.517 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.517 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.517 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.517 * [taylor]: Taking taylor expansion of 1.0 in x 1.517 * [taylor]: Taking taylor expansion of 1.0 in x 1.517 * [taylor]: Taking taylor expansion of (* x x) in x 1.517 * [taylor]: Taking taylor expansion of x in x 1.517 * [taylor]: Taking taylor expansion of x in x 1.520 * [taylor]: Taking taylor expansion of 1.0 in x 1.520 * [taylor]: Taking taylor expansion of 1.0 in x 1.520 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.520 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.520 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.520 * [taylor]: Taking taylor expansion of 0.5 in x 1.521 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.521 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.521 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.521 * [taylor]: Taking taylor expansion of 1.0 in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.521 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.521 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.521 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.521 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.521 * [taylor]: Taking taylor expansion of 1.0 in x 1.521 * [taylor]: Taking taylor expansion of 1.0 in x 1.521 * [taylor]: Taking taylor expansion of (* x x) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.533 * [taylor]: Taking taylor expansion of 1.0 in x 2.333 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.334 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.334 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.334 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.334 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.334 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.334 * [taylor]: Taking taylor expansion of 0.5 in x 2.334 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.334 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.334 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.334 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.334 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.334 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.334 * [taylor]: Taking taylor expansion of x in x 2.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.334 * [taylor]: Taking taylor expansion of x in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.338 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.338 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.338 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.338 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.338 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.338 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.338 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.338 * [taylor]: Taking taylor expansion of x in x 2.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.338 * [taylor]: Taking taylor expansion of x in x 2.347 * [taylor]: Taking taylor expansion of 1.0 in x 2.349 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.349 * [taylor]: Taking taylor expansion of 0.5 in x 2.350 * [taylor]: Taking taylor expansion of 1.0 in x 2.356 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.356 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.356 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.356 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.356 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.356 * [taylor]: Taking taylor expansion of 0.5 in x 2.356 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.356 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.356 * [taylor]: Taking taylor expansion of 1.0 in x 2.356 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.356 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.356 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.356 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.356 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.356 * [taylor]: Taking taylor expansion of 1.0 in x 2.356 * [taylor]: Taking taylor expansion of 1.0 in x 2.356 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.356 * [taylor]: Taking taylor expansion of x in x 2.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.357 * [taylor]: Taking taylor expansion of x in x 2.360 * [taylor]: Taking taylor expansion of 1.0 in x 2.360 * [taylor]: Taking taylor expansion of 1.0 in x 2.360 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.360 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.360 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.360 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.360 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.360 * [taylor]: Taking taylor expansion of 1.0 in x 2.360 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.360 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.360 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.360 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.360 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.360 * [taylor]: Taking taylor expansion of 1.0 in x 2.360 * [taylor]: Taking taylor expansion of 1.0 in x 2.360 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.360 * [taylor]: Taking taylor expansion of x in x 2.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.364 * [taylor]: Taking taylor expansion of 1.0 in x 2.366 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.366 * [taylor]: Taking taylor expansion of 0.5 in x 2.366 * [taylor]: Taking taylor expansion of 1.0 in x 2.512 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.513 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.513 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.513 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.513 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.513 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.513 * [taylor]: Taking taylor expansion of 0.5 in x 2.513 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.513 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.513 * [taylor]: Taking taylor expansion of 1.0 in x 2.513 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.513 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.513 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.513 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.513 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.513 * [taylor]: Taking taylor expansion of 1.0 in x 2.513 * [taylor]: Taking taylor expansion of 1.0 in x 2.513 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.513 * [taylor]: Taking taylor expansion of -1 in x 2.513 * [taylor]: Taking taylor expansion of x in x 2.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.514 * [taylor]: Taking taylor expansion of -1 in x 2.514 * [taylor]: Taking taylor expansion of x in x 2.517 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.517 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.517 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.517 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.517 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.517 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.517 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.517 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.517 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.517 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.517 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.517 * [taylor]: Taking taylor expansion of -1 in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.518 * [taylor]: Taking taylor expansion of -1 in x 2.518 * [taylor]: Taking taylor expansion of x in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.523 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.523 * [taylor]: Taking taylor expansion of 0.5 in x 2.524 * [taylor]: Taking taylor expansion of 1.0 in x 2.529 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.529 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.529 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.529 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.529 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.529 * [taylor]: Taking taylor expansion of 0.5 in x 2.529 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.529 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.529 * [taylor]: Taking taylor expansion of 1.0 in x 2.529 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.529 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.529 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.529 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.529 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.529 * [taylor]: Taking taylor expansion of 1.0 in x 2.529 * [taylor]: Taking taylor expansion of 1.0 in x 2.529 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.529 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.529 * [taylor]: Taking taylor expansion of -1 in x 2.529 * [taylor]: Taking taylor expansion of x in x 2.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.530 * [taylor]: Taking taylor expansion of -1 in x 2.530 * [taylor]: Taking taylor expansion of x in x 2.533 * [taylor]: Taking taylor expansion of 1.0 in x 2.533 * [taylor]: Taking taylor expansion of 1.0 in x 2.533 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.533 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.533 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.533 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.533 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.533 * [taylor]: Taking taylor expansion of 1.0 in x 2.533 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.533 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.533 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.533 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.533 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.533 * [taylor]: Taking taylor expansion of 1.0 in x 2.533 * [taylor]: Taking taylor expansion of 1.0 in x 2.533 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.533 * [taylor]: Taking taylor expansion of -1 in x 2.533 * [taylor]: Taking taylor expansion of x in x 2.534 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.534 * [taylor]: Taking taylor expansion of -1 in x 2.534 * [taylor]: Taking taylor expansion of x in x 2.537 * [taylor]: Taking taylor expansion of 1.0 in x 2.539 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.539 * [taylor]: Taking taylor expansion of 0.5 in x 2.540 * [taylor]: Taking taylor expansion of 1.0 in x 2.684 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.684 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.684 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.684 * [taylor]: Taking taylor expansion of 1.0 in x 2.684 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.684 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.684 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.684 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.684 * [taylor]: Taking taylor expansion of 1.0 in x 2.684 * [taylor]: Taking taylor expansion of 1.0 in x 2.684 * [taylor]: Taking taylor expansion of (* x x) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.688 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.688 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.688 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.688 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.688 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.688 * [taylor]: Taking taylor expansion of (* x x) in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.729 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.729 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.729 * [taylor]: Taking taylor expansion of 1.0 in x 2.729 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.730 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.730 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.730 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.730 * [taylor]: Taking taylor expansion of 1.0 in x 2.730 * [taylor]: Taking taylor expansion of 1.0 in x 2.730 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.730 * [taylor]: Taking taylor expansion of x in x 2.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.730 * [taylor]: Taking taylor expansion of x in x 2.733 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.733 * [taylor]: Taking taylor expansion of 1.0 in x 2.733 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.733 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.733 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.733 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.733 * [taylor]: Taking taylor expansion of 1.0 in x 2.733 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.763 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.763 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.763 * [taylor]: Taking taylor expansion of 1.0 in x 2.763 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.763 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.763 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.763 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.763 * [taylor]: Taking taylor expansion of 1.0 in x 2.763 * [taylor]: Taking taylor expansion of 1.0 in x 2.763 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.764 * [taylor]: Taking taylor expansion of -1 in x 2.764 * [taylor]: Taking taylor expansion of x in x 2.764 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.764 * [taylor]: Taking taylor expansion of -1 in x 2.764 * [taylor]: Taking taylor expansion of x in x 2.767 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.767 * [taylor]: Taking taylor expansion of 1.0 in x 2.767 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.768 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.768 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.768 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.768 * [taylor]: Taking taylor expansion of 1.0 in x 2.768 * [taylor]: Taking taylor expansion of 1.0 in x 2.768 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.768 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.768 * [taylor]: Taking taylor expansion of -1 in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.768 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.768 * [taylor]: Taking taylor expansion of -1 in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.792 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.792 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.792 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.792 * [taylor]: Taking taylor expansion of 1.0 in x 2.792 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.792 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.792 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.792 * [taylor]: Taking taylor expansion of 1.0 in x 2.792 * [taylor]: Taking taylor expansion of 1.0 in x 2.792 * [taylor]: Taking taylor expansion of (* x x) in x 2.792 * [taylor]: Taking taylor expansion of x in x 2.792 * [taylor]: Taking taylor expansion of x in x 2.795 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.795 * [taylor]: Taking taylor expansion of 1.0 in x 2.795 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.795 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.795 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.795 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.795 * [taylor]: Taking taylor expansion of 1.0 in x 2.795 * [taylor]: Taking taylor expansion of 1.0 in x 2.795 * [taylor]: Taking taylor expansion of (* x x) in x 2.795 * [taylor]: Taking taylor expansion of x in x 2.795 * [taylor]: Taking taylor expansion of x in x 2.842 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.842 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.842 * [taylor]: Taking taylor expansion of 1.0 in x 2.842 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.842 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.842 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.842 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.842 * [taylor]: Taking taylor expansion of 1.0 in x 2.842 * [taylor]: Taking taylor expansion of 1.0 in x 2.842 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.842 * [taylor]: Taking taylor expansion of x in x 2.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.846 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.846 * [taylor]: Taking taylor expansion of 1.0 in x 2.846 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.846 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.846 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.846 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.846 * [taylor]: Taking taylor expansion of 1.0 in x 2.846 * [taylor]: Taking taylor expansion of 1.0 in x 2.846 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.869 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.870 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.870 * [taylor]: Taking taylor expansion of 1.0 in x 2.870 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.870 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.870 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.870 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.870 * [taylor]: Taking taylor expansion of 1.0 in x 2.870 * [taylor]: Taking taylor expansion of 1.0 in x 2.870 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.870 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.870 * [taylor]: Taking taylor expansion of -1 in x 2.870 * [taylor]: Taking taylor expansion of x in x 2.870 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.870 * [taylor]: Taking taylor expansion of -1 in x 2.870 * [taylor]: Taking taylor expansion of x in x 2.874 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.874 * [taylor]: Taking taylor expansion of 1.0 in x 2.874 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.874 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.874 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.874 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.874 * [taylor]: Taking taylor expansion of 1.0 in x 2.874 * [taylor]: Taking taylor expansion of 1.0 in x 2.874 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.874 * [taylor]: Taking taylor expansion of -1 in x 2.874 * [taylor]: Taking taylor expansion of x in x 2.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.874 * [taylor]: Taking taylor expansion of -1 in x 2.874 * [taylor]: Taking taylor expansion of x in x 2.905 * * * [progress]: simplifying candidates 2.907 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (fma (- 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)))))))) (log1p (/ (fma (- 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)))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma (- 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)))))))) (exp (/ (fma (- 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)))))))) (/ (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 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)))))) (+ 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)))))))) (* (cbrt (/ (fma (- 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)))))))) (cbrt (/ (fma (- 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))))))))) (cbrt (/ (fma (- 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)))))))) (* (* (/ (fma (- 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))))))) (/ (fma (- 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)))))))) (/ (fma (- 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)))))))) (sqrt (/ (fma (- 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)))))))) (sqrt (/ (fma (- 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)))))))) (- (fma (- 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))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 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))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 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))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 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))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 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))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 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))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (/ (sqrt (fma (- 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))))))) (/ 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))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (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)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 1) (/ (fma (- 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))))))) (/ 1 1) (/ (fma (- 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))))))) (/ 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)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 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))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 1) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 1) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (fma (- 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)))))) (sqrt (fma (- 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)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (- (* 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)))))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 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) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 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) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 0.0625 (* (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.015625 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))))) (+ (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) (+ (* 0.09375 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))))) (+ (* 0.25 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0)))) (+ (* 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))))) (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))))))) (+ (* 0.5 (/ 1 (* (sqrt 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0)))) (+ (* 0.09375 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) 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(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) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 3.012 * * * [progress]: adding candidates to table 3.342 * * [progress]: iteration 3 / 4 3.342 * * * [progress]: picking best candidate 3.356 * * * * [pick]: Picked # 3.356 * * * [progress]: localizing error 3.371 * * * [progress]: generating rewritten candidates 3.371 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 3.372 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.385 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.421 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 2) 3.443 * * * [progress]: generating series expansions 3.443 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 3.444 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.444 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.445 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.445 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.445 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.445 * [taylor]: Taking taylor expansion of 0.5 in x 3.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.445 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.445 * [taylor]: Taking taylor expansion of 1.0 in x 3.445 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.445 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.445 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.445 * [taylor]: Taking taylor expansion of 1.0 in x 3.445 * [taylor]: Taking taylor expansion of 1.0 in x 3.445 * [taylor]: Taking taylor expansion of (* x x) in x 3.445 * [taylor]: Taking taylor expansion of x in x 3.445 * [taylor]: Taking taylor expansion of x in x 3.448 * [taylor]: Taking taylor expansion of 1.0 in x 3.448 * [taylor]: Taking taylor expansion of 1.0 in x 3.448 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.449 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.449 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.449 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.449 * [taylor]: Taking taylor expansion of 0.5 in x 3.449 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.449 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.449 * [taylor]: Taking taylor expansion of 1.0 in x 3.449 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.449 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.449 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.449 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.449 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.449 * [taylor]: Taking taylor expansion of 1.0 in x 3.449 * [taylor]: Taking taylor expansion of 1.0 in x 3.449 * [taylor]: Taking taylor expansion of (* x x) in x 3.449 * [taylor]: Taking taylor expansion of x in x 3.449 * [taylor]: Taking taylor expansion of x in x 3.452 * [taylor]: Taking taylor expansion of 1.0 in x 3.452 * [taylor]: Taking taylor expansion of 1.0 in x 3.550 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.550 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.550 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.550 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.550 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.550 * [taylor]: Taking taylor expansion of 0.5 in x 3.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.550 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.550 * [taylor]: Taking taylor expansion of 1.0 in x 3.550 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.550 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.550 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.550 * [taylor]: Taking taylor expansion of 1.0 in x 3.550 * [taylor]: Taking taylor expansion of 1.0 in x 3.550 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.550 * [taylor]: Taking taylor expansion of x in x 3.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.551 * [taylor]: Taking taylor expansion of x in x 3.554 * [taylor]: Taking taylor expansion of 1.0 in x 3.554 * [taylor]: Taking taylor expansion of 1.0 in x 3.554 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.554 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.554 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.554 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.554 * [taylor]: Taking taylor expansion of 0.5 in x 3.554 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.554 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.554 * [taylor]: Taking taylor expansion of 1.0 in x 3.554 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.554 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.554 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.554 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.554 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.554 * [taylor]: Taking taylor expansion of 1.0 in x 3.554 * [taylor]: Taking taylor expansion of 1.0 in x 3.554 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.554 * [taylor]: Taking taylor expansion of x in x 3.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.555 * [taylor]: Taking taylor expansion of x in x 3.558 * [taylor]: Taking taylor expansion of 1.0 in x 3.558 * [taylor]: Taking taylor expansion of 1.0 in x 3.584 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.584 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.584 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.584 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.584 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.584 * [taylor]: Taking taylor expansion of 0.5 in x 3.584 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.584 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.584 * [taylor]: Taking taylor expansion of 1.0 in x 3.584 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.584 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.584 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.584 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.584 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.584 * [taylor]: Taking taylor expansion of 1.0 in x 3.584 * [taylor]: Taking taylor expansion of 1.0 in x 3.584 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.584 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.584 * [taylor]: Taking taylor expansion of -1 in x 3.584 * [taylor]: Taking taylor expansion of x in x 3.585 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.585 * [taylor]: Taking taylor expansion of -1 in x 3.585 * [taylor]: Taking taylor expansion of x in x 3.588 * [taylor]: Taking taylor expansion of 1.0 in x 3.588 * [taylor]: Taking taylor expansion of 1.0 in x 3.588 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.588 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.588 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.588 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.588 * [taylor]: Taking taylor expansion of 0.5 in x 3.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.588 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.588 * [taylor]: Taking taylor expansion of 1.0 in x 3.588 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.588 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.588 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.588 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.588 * [taylor]: Taking taylor expansion of 1.0 in x 3.588 * [taylor]: Taking taylor expansion of 1.0 in x 3.588 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.588 * [taylor]: Taking taylor expansion of -1 in x 3.588 * [taylor]: Taking taylor expansion of x in x 3.589 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.589 * [taylor]: Taking taylor expansion of -1 in x 3.589 * [taylor]: Taking taylor expansion of x in x 3.592 * [taylor]: Taking taylor expansion of 1.0 in x 3.592 * [taylor]: Taking taylor expansion of 1.0 in x 3.611 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.612 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in (x) around 0 3.612 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 3.612 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.612 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.612 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.612 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.612 * [taylor]: Taking taylor expansion of 0.5 in x 3.612 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.612 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.612 * [taylor]: Taking taylor expansion of 1.0 in x 3.612 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.612 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.612 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.612 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.612 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.612 * [taylor]: Taking taylor expansion of 1.0 in x 3.612 * [taylor]: Taking taylor expansion of 1.0 in x 3.612 * [taylor]: Taking taylor expansion of (* x x) in x 3.612 * [taylor]: Taking taylor expansion of x in x 3.612 * [taylor]: Taking taylor expansion of x in x 3.615 * [taylor]: Taking taylor expansion of 1.0 in x 3.615 * [taylor]: Taking taylor expansion of 1.0 in x 3.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 3.615 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.615 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.616 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.616 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.616 * [taylor]: Taking taylor expansion of 0.5 in x 3.616 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.617 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.617 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.617 * [taylor]: Taking taylor expansion of 1.0 in x 3.617 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.617 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.617 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.617 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.617 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.617 * [taylor]: Taking taylor expansion of 1.0 in x 3.617 * [taylor]: Taking taylor expansion of 1.0 in x 3.617 * [taylor]: Taking taylor expansion of (* x x) in x 3.617 * [taylor]: Taking taylor expansion of x in x 3.617 * [taylor]: Taking taylor expansion of x in x 3.620 * [taylor]: Taking taylor expansion of 1.0 in x 3.626 * [taylor]: Taking taylor expansion of 1.0 in x 3.651 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 3.652 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.652 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.652 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.652 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.652 * [taylor]: Taking taylor expansion of 0.5 in x 3.652 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.652 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.652 * [taylor]: Taking taylor expansion of 1.0 in x 3.652 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.652 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.652 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.652 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.652 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.652 * [taylor]: Taking taylor expansion of 1.0 in x 3.652 * [taylor]: Taking taylor expansion of 1.0 in x 3.652 * [taylor]: Taking taylor expansion of (* x x) in x 3.652 * [taylor]: Taking taylor expansion of x in x 3.652 * [taylor]: Taking taylor expansion of x in x 3.655 * [taylor]: Taking taylor expansion of 1.0 in x 3.655 * [taylor]: Taking taylor expansion of 1.0 in x 3.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 3.656 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.656 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.656 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.656 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.656 * [taylor]: Taking taylor expansion of 0.5 in x 3.657 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.657 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.657 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.657 * [taylor]: Taking taylor expansion of 1.0 in x 3.657 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.657 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.657 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.657 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.657 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.657 * [taylor]: Taking taylor expansion of 1.0 in x 3.657 * [taylor]: Taking taylor expansion of 1.0 in x 3.657 * [taylor]: Taking taylor expansion of (* x x) in x 3.657 * [taylor]: Taking taylor expansion of x in x 3.657 * [taylor]: Taking taylor expansion of x in x 3.660 * [taylor]: Taking taylor expansion of 1.0 in x 3.667 * [taylor]: Taking taylor expansion of 1.0 in x 4.736 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in (x) around 0 4.736 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.736 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.737 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.737 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.737 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.737 * [taylor]: Taking taylor expansion of 0.5 in x 4.737 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.737 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.737 * [taylor]: Taking taylor expansion of 1.0 in x 4.737 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.737 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.737 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.737 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.737 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.737 * [taylor]: Taking taylor expansion of 1.0 in x 4.737 * [taylor]: Taking taylor expansion of 1.0 in x 4.737 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.737 * [taylor]: Taking taylor expansion of x in x 4.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.737 * [taylor]: Taking taylor expansion of x in x 4.740 * [taylor]: Taking taylor expansion of 1.0 in x 4.740 * [taylor]: Taking taylor expansion of 1.0 in x 4.740 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.740 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.740 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.740 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.741 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.741 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.741 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.741 * [taylor]: Taking taylor expansion of 1.0 in x 4.741 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.741 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.741 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.741 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.741 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.741 * [taylor]: Taking taylor expansion of 1.0 in x 4.741 * [taylor]: Taking taylor expansion of 1.0 in x 4.741 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.741 * [taylor]: Taking taylor expansion of x in x 4.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.741 * [taylor]: Taking taylor expansion of x in x 4.744 * [taylor]: Taking taylor expansion of 1.0 in x 4.746 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.746 * [taylor]: Taking taylor expansion of 0.5 in x 4.747 * [taylor]: Taking taylor expansion of 1.0 in x 4.776 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.776 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.776 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.776 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.776 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.776 * [taylor]: Taking taylor expansion of 0.5 in x 4.776 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.776 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.776 * [taylor]: Taking taylor expansion of 1.0 in x 4.776 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.776 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.776 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.776 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.776 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.776 * [taylor]: Taking taylor expansion of 1.0 in x 4.776 * [taylor]: Taking taylor expansion of 1.0 in x 4.776 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.776 * [taylor]: Taking taylor expansion of x in x 4.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.777 * [taylor]: Taking taylor expansion of x in x 4.780 * [taylor]: Taking taylor expansion of 1.0 in x 4.780 * [taylor]: Taking taylor expansion of 1.0 in x 4.780 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.780 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.780 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.780 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.780 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.780 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.780 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.780 * [taylor]: Taking taylor expansion of 1.0 in x 4.780 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.780 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.780 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.780 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.780 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.780 * [taylor]: Taking taylor expansion of 1.0 in x 4.780 * [taylor]: Taking taylor expansion of 1.0 in x 4.780 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.780 * [taylor]: Taking taylor expansion of x in x 4.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.781 * [taylor]: Taking taylor expansion of x in x 4.784 * [taylor]: Taking taylor expansion of 1.0 in x 4.786 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.786 * [taylor]: Taking taylor expansion of 0.5 in x 4.786 * [taylor]: Taking taylor expansion of 1.0 in x 5.053 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in (x) around 0 5.053 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 5.053 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.053 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.053 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.053 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.053 * [taylor]: Taking taylor expansion of 0.5 in x 5.053 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.053 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.053 * [taylor]: Taking taylor expansion of 1.0 in x 5.053 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.053 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.053 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.053 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.053 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.053 * [taylor]: Taking taylor expansion of 1.0 in x 5.053 * [taylor]: Taking taylor expansion of 1.0 in x 5.053 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.053 * [taylor]: Taking taylor expansion of -1 in x 5.053 * [taylor]: Taking taylor expansion of x in x 5.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.054 * [taylor]: Taking taylor expansion of -1 in x 5.054 * [taylor]: Taking taylor expansion of x in x 5.057 * [taylor]: Taking taylor expansion of 1.0 in x 5.057 * [taylor]: Taking taylor expansion of 1.0 in x 5.057 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 5.057 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.057 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.057 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.057 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.057 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.057 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.058 * [taylor]: Taking taylor expansion of 1.0 in x 5.058 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.058 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.058 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.058 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.058 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.058 * [taylor]: Taking taylor expansion of 1.0 in x 5.058 * [taylor]: Taking taylor expansion of 1.0 in x 5.058 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.058 * [taylor]: Taking taylor expansion of -1 in x 5.058 * [taylor]: Taking taylor expansion of x in x 5.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.058 * [taylor]: Taking taylor expansion of -1 in x 5.058 * [taylor]: Taking taylor expansion of x in x 5.061 * [taylor]: Taking taylor expansion of 1.0 in x 5.063 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.063 * [taylor]: Taking taylor expansion of 0.5 in x 5.064 * [taylor]: Taking taylor expansion of 1.0 in x 5.093 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 5.093 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.093 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.093 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.093 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.093 * [taylor]: Taking taylor expansion of 0.5 in x 5.093 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.093 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.093 * [taylor]: Taking taylor expansion of 1.0 in x 5.093 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.093 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.093 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.093 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.093 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.093 * [taylor]: Taking taylor expansion of 1.0 in x 5.093 * [taylor]: Taking taylor expansion of 1.0 in x 5.093 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.093 * [taylor]: Taking taylor expansion of -1 in x 5.093 * [taylor]: Taking taylor expansion of x in x 5.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.094 * [taylor]: Taking taylor expansion of -1 in x 5.094 * [taylor]: Taking taylor expansion of x in x 5.097 * [taylor]: Taking taylor expansion of 1.0 in x 5.097 * [taylor]: Taking taylor expansion of 1.0 in x 5.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 5.097 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.097 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.097 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.097 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.097 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.097 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.097 * [taylor]: Taking taylor expansion of 1.0 in x 5.097 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.097 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.097 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.097 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.097 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.097 * [taylor]: Taking taylor expansion of 1.0 in x 5.097 * [taylor]: Taking taylor expansion of 1.0 in x 5.097 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.097 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.097 * [taylor]: Taking taylor expansion of -1 in x 5.097 * [taylor]: Taking taylor expansion of x in x 5.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.098 * [taylor]: Taking taylor expansion of -1 in x 5.098 * [taylor]: Taking taylor expansion of x in x 5.101 * [taylor]: Taking taylor expansion of 1.0 in x 5.103 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.103 * [taylor]: Taking taylor expansion of 0.5 in x 5.110 * [taylor]: Taking taylor expansion of 1.0 in x 5.370 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.371 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 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)) in (x) around 0 5.371 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 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)) in x 5.371 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.371 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.371 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.371 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.371 * [taylor]: Taking taylor expansion of 0.5 in x 5.372 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.372 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.372 * [taylor]: Taking taylor expansion of 1.0 in x 5.372 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.372 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.372 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.372 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.372 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.372 * [taylor]: Taking taylor expansion of 1.0 in x 5.372 * [taylor]: Taking taylor expansion of 1.0 in x 5.372 * [taylor]: Taking taylor expansion of (* x x) in x 5.372 * [taylor]: Taking taylor expansion of x in x 5.372 * [taylor]: Taking taylor expansion of x in x 5.375 * [taylor]: Taking taylor expansion of 1.0 in x 5.375 * [taylor]: Taking taylor expansion of 1.0 in x 5.375 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 5.375 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.375 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.375 * [taylor]: Taking taylor expansion of 0.5 in x 5.376 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.376 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.376 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.376 * [taylor]: Taking taylor expansion of 1.0 in x 5.376 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.376 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.376 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.376 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.376 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.376 * [taylor]: Taking taylor expansion of 1.0 in x 5.376 * [taylor]: Taking taylor expansion of 1.0 in x 5.376 * [taylor]: Taking taylor expansion of (* x x) in x 5.376 * [taylor]: Taking taylor expansion of x in x 5.376 * [taylor]: Taking taylor expansion of x in x 5.379 * [taylor]: Taking taylor expansion of 1.0 in x 5.385 * [taylor]: Taking taylor expansion of 1.0 in x 5.405 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 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)) in x 5.405 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.405 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.405 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.405 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.405 * [taylor]: Taking taylor expansion of 0.5 in x 5.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.405 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.405 * [taylor]: Taking taylor expansion of 1.0 in x 5.405 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.405 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.405 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.405 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.405 * [taylor]: Taking taylor expansion of 1.0 in x 5.405 * [taylor]: Taking taylor expansion of 1.0 in x 5.405 * [taylor]: Taking taylor expansion of (* x x) in x 5.405 * [taylor]: Taking taylor expansion of x in x 5.405 * [taylor]: Taking taylor expansion of x in x 5.408 * [taylor]: Taking taylor expansion of 1.0 in x 5.408 * [taylor]: Taking taylor expansion of 1.0 in x 5.408 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 5.408 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.408 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.408 * [taylor]: Taking taylor expansion of 0.5 in x 5.409 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.409 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.409 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.409 * [taylor]: Taking taylor expansion of 1.0 in x 5.409 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.409 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.409 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.409 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.409 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.409 * [taylor]: Taking taylor expansion of 1.0 in x 5.409 * [taylor]: Taking taylor expansion of 1.0 in x 5.409 * [taylor]: Taking taylor expansion of (* x x) in x 5.409 * [taylor]: Taking taylor expansion of x in x 5.409 * [taylor]: Taking taylor expansion of x in x 5.412 * [taylor]: Taking taylor expansion of 1.0 in x 5.425 * [taylor]: Taking taylor expansion of 1.0 in x 6.264 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 6.264 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.264 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.264 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.264 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.264 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.264 * [taylor]: Taking taylor expansion of 0.5 in x 6.264 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.264 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.264 * [taylor]: Taking taylor expansion of 1.0 in x 6.264 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.264 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.265 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.265 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.265 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.265 * [taylor]: Taking taylor expansion of 1.0 in x 6.265 * [taylor]: Taking taylor expansion of 1.0 in x 6.265 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.265 * [taylor]: Taking taylor expansion of x in x 6.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.265 * [taylor]: Taking taylor expansion of x in x 6.275 * [taylor]: Taking taylor expansion of 1.0 in x 6.275 * [taylor]: Taking taylor expansion of 1.0 in x 6.275 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.275 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.275 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.275 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.275 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.275 * [taylor]: Taking taylor expansion of 1.0 in x 6.275 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.275 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.275 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.275 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.275 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.275 * [taylor]: Taking taylor expansion of 1.0 in x 6.275 * [taylor]: Taking taylor expansion of 1.0 in x 6.275 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.275 * [taylor]: Taking taylor expansion of x in x 6.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.276 * [taylor]: Taking taylor expansion of x in x 6.279 * [taylor]: Taking taylor expansion of 1.0 in x 6.281 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.281 * [taylor]: Taking taylor expansion of 0.5 in x 6.282 * [taylor]: Taking taylor expansion of 1.0 in x 6.287 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.287 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 6.287 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 6.287 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.287 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.287 * [taylor]: Taking taylor expansion of 0.5 in x 6.287 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.287 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.287 * [taylor]: Taking taylor expansion of 1.0 in x 6.287 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.287 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.287 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.287 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.287 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.287 * [taylor]: Taking taylor expansion of 1.0 in x 6.287 * [taylor]: Taking taylor expansion of 1.0 in x 6.288 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.288 * [taylor]: Taking taylor expansion of x in x 6.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.288 * [taylor]: Taking taylor expansion of x in x 6.291 * [taylor]: Taking taylor expansion of 1.0 in x 6.291 * [taylor]: Taking taylor expansion of 1.0 in x 6.291 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.291 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.291 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.291 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.291 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.291 * [taylor]: Taking taylor expansion of 1.0 in x 6.291 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.291 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.291 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.291 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.291 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.291 * [taylor]: Taking taylor expansion of 1.0 in x 6.291 * [taylor]: Taking taylor expansion of 1.0 in x 6.291 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.291 * [taylor]: Taking taylor expansion of x in x 6.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.292 * [taylor]: Taking taylor expansion of x in x 6.295 * [taylor]: Taking taylor expansion of 1.0 in x 6.297 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.297 * [taylor]: Taking taylor expansion of 0.5 in x 6.298 * [taylor]: Taking taylor expansion of 1.0 in x 6.444 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 6.444 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.444 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.444 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.444 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.444 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.444 * [taylor]: Taking taylor expansion of 0.5 in x 6.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.444 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.444 * [taylor]: Taking taylor expansion of 1.0 in x 6.444 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.444 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.444 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.444 * [taylor]: Taking taylor expansion of 1.0 in x 6.444 * [taylor]: Taking taylor expansion of 1.0 in x 6.444 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.444 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.444 * [taylor]: Taking taylor expansion of -1 in x 6.444 * [taylor]: Taking taylor expansion of x in x 6.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.445 * [taylor]: Taking taylor expansion of -1 in x 6.445 * [taylor]: Taking taylor expansion of x in x 6.448 * [taylor]: Taking taylor expansion of 1.0 in x 6.448 * [taylor]: Taking taylor expansion of 1.0 in x 6.448 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.448 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.448 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.448 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.448 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.448 * [taylor]: Taking taylor expansion of 1.0 in x 6.448 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.448 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.448 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.448 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.448 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.448 * [taylor]: Taking taylor expansion of 1.0 in x 6.448 * [taylor]: Taking taylor expansion of 1.0 in x 6.448 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.448 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.448 * [taylor]: Taking taylor expansion of -1 in x 6.448 * [taylor]: Taking taylor expansion of x in x 6.449 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.449 * [taylor]: Taking taylor expansion of -1 in x 6.449 * [taylor]: Taking taylor expansion of x in x 6.452 * [taylor]: Taking taylor expansion of 1.0 in x 6.454 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.454 * [taylor]: Taking taylor expansion of 0.5 in x 6.455 * [taylor]: Taking taylor expansion of 1.0 in x 6.460 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.460 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 6.460 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 6.460 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.460 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.460 * [taylor]: Taking taylor expansion of 0.5 in x 6.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.461 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.461 * [taylor]: Taking taylor expansion of 1.0 in x 6.461 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.461 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.461 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.461 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.461 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.461 * [taylor]: Taking taylor expansion of 1.0 in x 6.461 * [taylor]: Taking taylor expansion of 1.0 in x 6.461 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.461 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.461 * [taylor]: Taking taylor expansion of -1 in x 6.461 * [taylor]: Taking taylor expansion of x in x 6.461 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.461 * [taylor]: Taking taylor expansion of -1 in x 6.461 * [taylor]: Taking taylor expansion of x in x 6.465 * [taylor]: Taking taylor expansion of 1.0 in x 6.465 * [taylor]: Taking taylor expansion of 1.0 in x 6.465 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.465 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.465 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.465 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.465 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.465 * [taylor]: Taking taylor expansion of 1.0 in x 6.465 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.465 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.465 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.465 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.465 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.465 * [taylor]: Taking taylor expansion of 1.0 in x 6.465 * [taylor]: Taking taylor expansion of 1.0 in x 6.465 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.465 * [taylor]: Taking taylor expansion of -1 in x 6.465 * [taylor]: Taking taylor expansion of x in x 6.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.465 * [taylor]: Taking taylor expansion of -1 in x 6.465 * [taylor]: Taking taylor expansion of x in x 6.469 * [taylor]: Taking taylor expansion of 1.0 in x 6.471 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.471 * [taylor]: Taking taylor expansion of 0.5 in x 6.471 * [taylor]: Taking taylor expansion of 1.0 in x 6.617 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 2) 6.617 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 6.617 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 6.617 * [taylor]: Taking taylor expansion of 1.0 in x 6.617 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.618 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.618 * [taylor]: Taking taylor expansion of 1.0 in x 6.618 * [taylor]: Taking taylor expansion of 1.0 in x 6.618 * [taylor]: Taking taylor expansion of (* x x) in x 6.618 * [taylor]: Taking taylor expansion of x in x 6.618 * [taylor]: Taking taylor expansion of x in x 6.621 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 6.621 * [taylor]: Taking taylor expansion of 1.0 in x 6.621 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.621 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.621 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.621 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.621 * [taylor]: Taking taylor expansion of 1.0 in x 6.621 * [taylor]: Taking taylor expansion of 1.0 in x 6.621 * [taylor]: Taking taylor expansion of (* x x) in x 6.621 * [taylor]: Taking taylor expansion of x in x 6.621 * [taylor]: Taking taylor expansion of x in x 6.662 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 6.662 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 6.662 * [taylor]: Taking taylor expansion of 1.0 in x 6.662 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.662 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.662 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.662 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.662 * [taylor]: Taking taylor expansion of 1.0 in x 6.662 * [taylor]: Taking taylor expansion of 1.0 in x 6.662 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.663 * [taylor]: Taking taylor expansion of x in x 6.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.663 * [taylor]: Taking taylor expansion of x in x 6.673 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 6.673 * [taylor]: Taking taylor expansion of 1.0 in x 6.673 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.673 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.673 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.673 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.673 * [taylor]: Taking taylor expansion of 1.0 in x 6.673 * [taylor]: Taking taylor expansion of 1.0 in x 6.673 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.673 * [taylor]: Taking taylor expansion of x in x 6.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.674 * [taylor]: Taking taylor expansion of x in x 6.697 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 6.697 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 6.697 * [taylor]: Taking taylor expansion of 1.0 in x 6.697 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.697 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.697 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.697 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.697 * [taylor]: Taking taylor expansion of 1.0 in x 6.697 * [taylor]: Taking taylor expansion of 1.0 in x 6.697 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.697 * [taylor]: Taking taylor expansion of -1 in x 6.698 * [taylor]: Taking taylor expansion of x in x 6.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.698 * [taylor]: Taking taylor expansion of -1 in x 6.698 * [taylor]: Taking taylor expansion of x in x 6.701 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 6.701 * [taylor]: Taking taylor expansion of 1.0 in x 6.701 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.701 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.701 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.701 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.701 * [taylor]: Taking taylor expansion of 1.0 in x 6.701 * [taylor]: Taking taylor expansion of 1.0 in x 6.701 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.701 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.701 * [taylor]: Taking taylor expansion of -1 in x 6.701 * [taylor]: Taking taylor expansion of x in x 6.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.702 * [taylor]: Taking taylor expansion of -1 in x 6.702 * [taylor]: Taking taylor expansion of x in x 6.730 * * * [progress]: simplifying candidates 6.749 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log1p (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (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)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (* (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (* (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 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 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(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) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (- (fma (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) (fma (* 0.01171875 (* (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow (sqrt 0.5) 2) (pow (sqrt 1.0) 6)))) (sqrt (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5))) (fma 0.0625 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.0078125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (fma 0.5 (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.078125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))))))) (fma (* 0.01171875 (* (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow (sqrt 0.5) 2) (pow (sqrt 1.0) 7)))) (sqrt (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5))) (* 0.0625 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 4)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.1875 (* (/ (pow x 4) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0)))) (fma 0.046875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.0078125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 7)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.5 (* (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) (/ 1 (sqrt 1.0)))))))) (fma (* 0.03125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) (- (fma 0.046875 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)))) (fma 0.5 (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (* 0.125 (* (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))))))) (fma 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))) (* 0.125 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))))))) (+ (+ (fma (* 0.5 (/ 1 x)) (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (* 0.03125 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))))) (fma (* 0.046875 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2)))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5))) (* 0.5 (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))))) (* (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) (+ (* 0.125 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))))))) (- (- (+ (+ (* 0.0625 (* (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)))) (+ (+ (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (* (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25)) (* (/ 0.03125 (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 3)) (* (/ 0.5 (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow x 4) (pow (sqrt 1.0) 6))))) (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (fma 0.5 (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) (* 0.09375 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))))))) (+ (+ (* (/ 0.03125 (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 3)) (* (/ 0.5 (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow x 4) (pow (sqrt 1.0) 7)))) (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (* 0.015625 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))))))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))) (- (- (+ (+ (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0)))) (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)))) (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5)) (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))) (+ (+ (fma 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))) (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)))) (fma (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) 0.5 (fma (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5 (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))) (fma 1.0 (/ 1 (sqrt 1.0)) (- (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 6.888 * * * [progress]: adding candidates to table 7.579 * * [progress]: iteration 4 / 4 7.579 * * * [progress]: picking best candidate 7.617 * * * * [pick]: Picked # 7.617 * * * [progress]: localizing error 7.641 * * * [progress]: generating rewritten candidates 7.641 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 7.642 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.676 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.809 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.268 * * * [progress]: generating series expansions 8.268 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 8.269 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 8.269 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 8.269 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 8.269 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.269 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.269 * [taylor]: Taking taylor expansion of 0.5 in x 8.269 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.269 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.269 * [taylor]: Taking taylor expansion of 1.0 in x 8.269 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.269 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.269 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.269 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.269 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.269 * [taylor]: Taking taylor expansion of 1.0 in x 8.269 * [taylor]: Taking taylor expansion of 1.0 in x 8.269 * [taylor]: Taking taylor expansion of (* x x) in x 8.269 * [taylor]: Taking taylor expansion of x in x 8.269 * [taylor]: Taking taylor expansion of x in x 8.273 * [taylor]: Taking taylor expansion of 1.0 in x 8.273 * [taylor]: Taking taylor expansion of 1.0 in x 8.273 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 8.273 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 8.273 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.273 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.273 * [taylor]: Taking taylor expansion of 0.5 in x 8.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.273 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.273 * [taylor]: Taking taylor expansion of 1.0 in x 8.273 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.273 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.273 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.273 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.273 * [taylor]: Taking taylor expansion of 1.0 in x 8.273 * [taylor]: Taking taylor expansion of 1.0 in x 8.273 * [taylor]: Taking taylor expansion of (* x x) in x 8.273 * [taylor]: Taking taylor expansion of x in x 8.273 * [taylor]: Taking taylor expansion of x in x 8.276 * [taylor]: Taking taylor expansion of 1.0 in x 8.276 * [taylor]: Taking taylor expansion of 1.0 in x 8.587 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 8.587 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 8.587 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 8.587 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.587 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.587 * [taylor]: Taking taylor expansion of 0.5 in x 8.587 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.587 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.587 * [taylor]: Taking taylor expansion of 1.0 in x 8.587 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.587 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.588 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.588 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.588 * [taylor]: Taking taylor expansion of 1.0 in x 8.588 * [taylor]: Taking taylor expansion of 1.0 in x 8.588 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.588 * [taylor]: Taking taylor expansion of x in x 8.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.588 * [taylor]: Taking taylor expansion of x in x 8.591 * [taylor]: Taking taylor expansion of 1.0 in x 8.591 * [taylor]: Taking taylor expansion of 1.0 in x 8.591 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 8.591 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 8.591 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.591 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.591 * [taylor]: Taking taylor expansion of 0.5 in x 8.591 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.591 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.591 * [taylor]: Taking taylor expansion of 1.0 in x 8.591 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.591 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.592 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.592 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.592 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.592 * [taylor]: Taking taylor expansion of 1.0 in x 8.592 * [taylor]: Taking taylor expansion of 1.0 in x 8.592 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.592 * [taylor]: Taking taylor expansion of x in x 8.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.592 * [taylor]: Taking taylor expansion of x in x 8.595 * [taylor]: Taking taylor expansion of 1.0 in x 8.595 * [taylor]: Taking taylor expansion of 1.0 in x 8.618 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 8.618 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 8.618 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 8.619 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.619 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.619 * [taylor]: Taking taylor expansion of 0.5 in x 8.619 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.619 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.619 * [taylor]: Taking taylor expansion of 1.0 in x 8.619 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.619 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.619 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.619 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.619 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.619 * [taylor]: Taking taylor expansion of 1.0 in x 8.619 * [taylor]: Taking taylor expansion of 1.0 in x 8.619 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.619 * [taylor]: Taking taylor expansion of -1 in x 8.619 * [taylor]: Taking taylor expansion of x in x 8.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.619 * [taylor]: Taking taylor expansion of -1 in x 8.619 * [taylor]: Taking taylor expansion of x in x 8.622 * [taylor]: Taking taylor expansion of 1.0 in x 8.622 * [taylor]: Taking taylor expansion of 1.0 in x 8.622 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 8.623 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 8.623 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.623 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.623 * [taylor]: Taking taylor expansion of 0.5 in x 8.623 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.623 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.623 * [taylor]: Taking taylor expansion of 1.0 in x 8.623 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.623 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.623 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.623 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.623 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.623 * [taylor]: Taking taylor expansion of 1.0 in x 8.623 * [taylor]: Taking taylor expansion of 1.0 in x 8.623 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.623 * [taylor]: Taking taylor expansion of -1 in x 8.623 * [taylor]: Taking taylor expansion of x in x 8.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.623 * [taylor]: Taking taylor expansion of -1 in x 8.623 * [taylor]: Taking taylor expansion of x in x 8.626 * [taylor]: Taking taylor expansion of 1.0 in x 8.626 * [taylor]: Taking taylor expansion of 1.0 in x 8.645 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.646 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (pow (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3)) 1/4)) in (x) around 0 8.646 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (pow (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3)) 1/4)) in x 8.646 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 8.646 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 8.646 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.646 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.646 * [taylor]: Taking taylor expansion of 0.5 in x 8.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.646 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.647 * [taylor]: Taking taylor expansion of 1.0 in x 8.647 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.647 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.647 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.647 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.647 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.647 * [taylor]: Taking taylor expansion of 1.0 in x 8.647 * [taylor]: Taking taylor expansion of 1.0 in x 8.647 * [taylor]: Taking taylor expansion of (* x x) in x 8.647 * [taylor]: Taking taylor expansion of x in x 8.647 * [taylor]: Taking taylor expansion of x in x 8.650 * [taylor]: Taking taylor expansion of 1.0 in x 8.650 * [taylor]: Taking taylor expansion of 1.0 in x 8.650 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3)) 1/4) in x 8.650 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3))))) in x 8.650 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3)))) in x 8.650 * [taylor]: Taking taylor expansion of 1/4 in x 8.650 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3))) in x 8.650 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3)) in x 8.650 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3) in x 8.650 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 8.650 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 8.650 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.650 * [taylor]: Taking taylor expansion of 0.5 in x 8.651 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.651 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.651 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.651 * [taylor]: Taking taylor expansion of 1.0 in x 8.651 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.651 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.651 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.651 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.651 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.651 * [taylor]: Taking taylor expansion of 1.0 in x 8.651 * [taylor]: Taking taylor expansion of 1.0 in x 8.651 * [taylor]: Taking taylor expansion of (* x x) in x 8.651 * [taylor]: Taking taylor expansion of x in x 8.651 * [taylor]: Taking taylor expansion of x in x 8.654 * [taylor]: Taking taylor expansion of 1.0 in x 8.660 * [taylor]: Taking taylor expansion of 1.0 in x 8.717 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (pow (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3)) 1/4)) in x 8.717 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 8.717 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 8.717 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.717 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.717 * [taylor]: Taking taylor expansion of 0.5 in x 8.717 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.718 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.718 * [taylor]: Taking taylor expansion of 1.0 in x 8.718 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.718 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.718 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.718 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.718 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.718 * [taylor]: Taking taylor expansion of 1.0 in x 8.718 * [taylor]: Taking taylor expansion of 1.0 in x 8.718 * [taylor]: Taking taylor expansion of (* x x) in x 8.718 * [taylor]: Taking taylor expansion of x in x 8.718 * [taylor]: Taking taylor expansion of x in x 8.721 * [taylor]: Taking taylor expansion of 1.0 in x 8.721 * [taylor]: Taking taylor expansion of 1.0 in x 8.721 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3)) 1/4) in x 8.721 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3))))) in x 8.721 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3)))) in x 8.721 * [taylor]: Taking taylor expansion of 1/4 in x 8.721 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3))) in x 8.721 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3)) in x 8.721 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 3) in x 8.721 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 8.721 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 8.721 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.721 * [taylor]: Taking taylor expansion of 0.5 in x 8.722 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.722 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.722 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.722 * [taylor]: Taking taylor expansion of 1.0 in x 8.722 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.722 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.722 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.722 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.722 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.722 * [taylor]: Taking taylor expansion of 1.0 in x 8.722 * [taylor]: Taking taylor expansion of 1.0 in x 8.722 * [taylor]: Taking taylor expansion of (* x x) in x 8.722 * [taylor]: Taking taylor expansion of x in x 8.722 * [taylor]: Taking taylor expansion of x in x 8.725 * [taylor]: Taking taylor expansion of 1.0 in x 8.731 * [taylor]: Taking taylor expansion of 1.0 in x 48.644 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) 1/4)) in (x) around 0 48.644 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) 1/4)) in x 48.644 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 48.644 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 48.644 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 48.645 * [taylor]: Taking taylor expansion of (- 0.5) in x 48.645 * [taylor]: Taking taylor expansion of 0.5 in x 48.645 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 48.645 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 48.645 * [taylor]: Taking taylor expansion of 1.0 in x 48.645 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 48.645 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 48.645 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 48.645 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 48.645 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 48.645 * [taylor]: Taking taylor expansion of 1.0 in x 48.645 * [taylor]: Taking taylor expansion of 1.0 in x 48.645 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 48.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 48.645 * [taylor]: Taking taylor expansion of x in x 48.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 48.646 * [taylor]: Taking taylor expansion of x in x 48.650 * [taylor]: Taking taylor expansion of 1.0 in x 48.650 * [taylor]: Taking taylor expansion of 1.0 in x 48.650 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) 1/4) in x 48.650 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3))))) in x 48.650 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)))) in x 48.650 * [taylor]: Taking taylor expansion of 1/4 in x 48.650 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3))) in x 48.650 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) in x 48.650 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3) in x 48.650 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 48.650 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 48.650 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 48.650 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 48.650 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 48.650 * [taylor]: Taking taylor expansion of 1.0 in x 48.650 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 48.650 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 48.651 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 48.651 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 48.651 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 48.651 * [taylor]: Taking taylor expansion of 1.0 in x 48.651 * [taylor]: Taking taylor expansion of 1.0 in x 48.651 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 48.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 48.651 * [taylor]: Taking taylor expansion of x in x 48.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 48.651 * [taylor]: Taking taylor expansion of x in x 48.655 * [taylor]: Taking taylor expansion of 1.0 in x 48.658 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 48.658 * [taylor]: Taking taylor expansion of 0.5 in x 48.659 * [taylor]: Taking taylor expansion of 1.0 in x 48.703 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) 1/4)) in x 48.703 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 48.703 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 48.704 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 48.704 * [taylor]: Taking taylor expansion of (- 0.5) in x 48.704 * [taylor]: Taking taylor expansion of 0.5 in x 48.704 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 48.704 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 48.704 * [taylor]: Taking taylor expansion of 1.0 in x 48.704 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 48.704 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 48.704 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 48.704 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 48.704 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 48.704 * [taylor]: Taking taylor expansion of 1.0 in x 48.704 * [taylor]: Taking taylor expansion of 1.0 in x 48.704 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 48.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 48.704 * [taylor]: Taking taylor expansion of x in x 48.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 48.705 * [taylor]: Taking taylor expansion of x in x 48.709 * [taylor]: Taking taylor expansion of 1.0 in x 48.709 * [taylor]: Taking taylor expansion of 1.0 in x 48.709 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) 1/4) in x 48.709 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3))))) in x 48.709 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)))) in x 48.709 * [taylor]: Taking taylor expansion of 1/4 in x 48.709 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3))) in x 48.709 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) in x 48.709 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3) in x 48.709 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 48.709 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 48.709 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 48.709 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 48.709 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 48.709 * [taylor]: Taking taylor expansion of 1.0 in x 48.709 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 48.709 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 48.710 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 48.710 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 48.710 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 48.710 * [taylor]: Taking taylor expansion of 1.0 in x 48.710 * [taylor]: Taking taylor expansion of 1.0 in x 48.710 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 48.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 48.710 * [taylor]: Taking taylor expansion of x in x 48.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 48.710 * [taylor]: Taking taylor expansion of x in x 48.714 * [taylor]: Taking taylor expansion of 1.0 in x 48.717 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 48.717 * [taylor]: Taking taylor expansion of 0.5 in x 48.718 * [taylor]: Taking taylor expansion of 1.0 in x 53.674 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) 1/4)) in (x) around 0 53.674 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) 1/4)) in x 53.674 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 53.674 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 53.674 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 53.675 * [taylor]: Taking taylor expansion of (- 0.5) in x 53.675 * [taylor]: Taking taylor expansion of 0.5 in x 53.675 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 53.675 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 53.675 * [taylor]: Taking taylor expansion of 1.0 in x 53.675 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 53.675 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 53.675 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 53.675 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 53.675 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 53.675 * [taylor]: Taking taylor expansion of 1.0 in x 53.675 * [taylor]: Taking taylor expansion of 1.0 in x 53.675 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 53.675 * [taylor]: Taking taylor expansion of (/ -1 x) in x 53.675 * [taylor]: Taking taylor expansion of -1 in x 53.675 * [taylor]: Taking taylor expansion of x in x 53.675 * [taylor]: Taking taylor expansion of (/ -1 x) in x 53.675 * [taylor]: Taking taylor expansion of -1 in x 53.675 * [taylor]: Taking taylor expansion of x in x 53.679 * [taylor]: Taking taylor expansion of 1.0 in x 53.679 * [taylor]: Taking taylor expansion of 1.0 in x 53.679 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) 1/4) in x 53.679 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3))))) in x 53.679 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)))) in x 53.679 * [taylor]: Taking taylor expansion of 1/4 in x 53.679 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3))) in x 53.679 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) in x 53.679 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3) in x 53.679 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 53.679 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 53.679 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 53.679 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 53.679 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 53.679 * [taylor]: Taking taylor expansion of 1.0 in x 53.679 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 53.679 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 53.679 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 53.679 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 53.679 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 53.679 * [taylor]: Taking taylor expansion of 1.0 in x 53.679 * [taylor]: Taking taylor expansion of 1.0 in x 53.679 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 53.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 53.679 * [taylor]: Taking taylor expansion of -1 in x 53.679 * [taylor]: Taking taylor expansion of x in x 53.680 * [taylor]: Taking taylor expansion of (/ -1 x) in x 53.680 * [taylor]: Taking taylor expansion of -1 in x 53.680 * [taylor]: Taking taylor expansion of x in x 53.683 * [taylor]: Taking taylor expansion of 1.0 in x 53.686 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 53.686 * [taylor]: Taking taylor expansion of 0.5 in x 53.686 * [taylor]: Taking taylor expansion of 1.0 in x 53.719 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) 1/4)) in x 53.719 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 53.720 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 53.720 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 53.720 * [taylor]: Taking taylor expansion of (- 0.5) in x 53.720 * [taylor]: Taking taylor expansion of 0.5 in x 53.720 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 53.720 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 53.720 * [taylor]: Taking taylor expansion of 1.0 in x 53.720 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 53.720 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 53.720 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 53.720 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 53.720 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 53.720 * [taylor]: Taking taylor expansion of 1.0 in x 53.720 * [taylor]: Taking taylor expansion of 1.0 in x 53.720 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 53.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 53.720 * [taylor]: Taking taylor expansion of -1 in x 53.720 * [taylor]: Taking taylor expansion of x in x 53.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 53.720 * [taylor]: Taking taylor expansion of -1 in x 53.720 * [taylor]: Taking taylor expansion of x in x 53.724 * [taylor]: Taking taylor expansion of 1.0 in x 53.724 * [taylor]: Taking taylor expansion of 1.0 in x 53.724 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) 1/4) in x 53.724 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3))))) in x 53.724 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)))) in x 53.724 * [taylor]: Taking taylor expansion of 1/4 in x 53.724 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3))) in x 53.724 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3)) in x 53.724 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 3) in x 53.724 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 53.724 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 53.724 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 53.724 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 53.724 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 53.724 * [taylor]: Taking taylor expansion of 1.0 in x 53.724 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 53.724 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 53.724 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 53.724 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 53.724 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 53.724 * [taylor]: Taking taylor expansion of 1.0 in x 53.724 * [taylor]: Taking taylor expansion of 1.0 in x 53.724 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 53.724 * [taylor]: Taking taylor expansion of (/ -1 x) in x 53.725 * [taylor]: Taking taylor expansion of -1 in x 53.725 * [taylor]: Taking taylor expansion of x in x 53.725 * [taylor]: Taking taylor expansion of (/ -1 x) in x 53.725 * [taylor]: Taking taylor expansion of -1 in x 53.725 * [taylor]: Taking taylor expansion of x in x 53.728 * [taylor]: Taking taylor expansion of 1.0 in x 53.730 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 53.730 * [taylor]: Taking taylor expansion of 0.5 in x 53.731 * [taylor]: Taking taylor expansion of 1.0 in x 58.873 * * * * [progress]: [ 3 / 4 ] generating series at (2) 58.874 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 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)) in (x) around 0 58.875 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 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)) in x 58.875 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 58.875 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 58.875 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 58.875 * [taylor]: Taking taylor expansion of (- 0.5) in x 58.875 * [taylor]: Taking taylor expansion of 0.5 in x 58.875 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 58.875 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 58.875 * [taylor]: Taking taylor expansion of 1.0 in x 58.875 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 58.875 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 58.875 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 58.875 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 58.875 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 58.875 * [taylor]: Taking taylor expansion of 1.0 in x 58.875 * [taylor]: Taking taylor expansion of 1.0 in x 58.875 * [taylor]: Taking taylor expansion of (* x x) in x 58.875 * [taylor]: Taking taylor expansion of x in x 58.875 * [taylor]: Taking taylor expansion of x in x 58.878 * [taylor]: Taking taylor expansion of 1.0 in x 58.878 * [taylor]: Taking taylor expansion of 1.0 in x 58.878 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 58.878 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 58.878 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 58.878 * [taylor]: Taking taylor expansion of 0.5 in x 58.879 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 58.879 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 58.879 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 58.879 * [taylor]: Taking taylor expansion of 1.0 in x 58.879 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 58.879 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 58.879 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 58.879 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 58.879 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 58.879 * [taylor]: Taking taylor expansion of 1.0 in x 58.879 * [taylor]: Taking taylor expansion of 1.0 in x 58.879 * [taylor]: Taking taylor expansion of (* x x) in x 58.879 * [taylor]: Taking taylor expansion of x in x 58.880 * [taylor]: Taking taylor expansion of x in x 58.883 * [taylor]: Taking taylor expansion of 1.0 in x 58.889 * [taylor]: Taking taylor expansion of 1.0 in x 58.909 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 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)) in x 58.909 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 58.909 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 58.909 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 58.909 * [taylor]: Taking taylor expansion of (- 0.5) in x 58.909 * [taylor]: Taking taylor expansion of 0.5 in x 58.909 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 58.909 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 58.909 * [taylor]: Taking taylor expansion of 1.0 in x 58.909 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 58.909 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 58.909 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 58.909 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 58.909 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 58.909 * [taylor]: Taking taylor expansion of 1.0 in x 58.909 * [taylor]: Taking taylor expansion of 1.0 in x 58.909 * [taylor]: Taking taylor expansion of (* x x) in x 58.909 * [taylor]: Taking taylor expansion of x in x 58.909 * [taylor]: Taking taylor expansion of x in x 58.912 * [taylor]: Taking taylor expansion of 1.0 in x 58.912 * [taylor]: Taking taylor expansion of 1.0 in x 58.912 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 58.912 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 58.912 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 58.912 * [taylor]: Taking taylor expansion of 0.5 in x 58.913 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 58.913 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 58.913 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 58.913 * [taylor]: Taking taylor expansion of 1.0 in x 58.913 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 58.913 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 58.913 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 58.913 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 58.913 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 58.913 * [taylor]: Taking taylor expansion of 1.0 in x 58.913 * [taylor]: Taking taylor expansion of 1.0 in x 58.913 * [taylor]: Taking taylor expansion of (* x x) in x 58.913 * [taylor]: Taking taylor expansion of x in x 58.913 * [taylor]: Taking taylor expansion of x in x 58.916 * [taylor]: Taking taylor expansion of 1.0 in x 58.922 * [taylor]: Taking taylor expansion of 1.0 in x 59.802 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 59.802 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 59.802 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 59.802 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 59.802 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 59.802 * [taylor]: Taking taylor expansion of (- 0.5) in x 59.802 * [taylor]: Taking taylor expansion of 0.5 in x 59.802 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 59.802 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 59.802 * [taylor]: Taking taylor expansion of 1.0 in x 59.802 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 59.802 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 59.802 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 59.802 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 59.802 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 59.802 * [taylor]: Taking taylor expansion of 1.0 in x 59.802 * [taylor]: Taking taylor expansion of 1.0 in x 59.802 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 59.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 59.802 * [taylor]: Taking taylor expansion of x in x 59.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 59.803 * [taylor]: Taking taylor expansion of x in x 59.806 * [taylor]: Taking taylor expansion of 1.0 in x 59.806 * [taylor]: Taking taylor expansion of 1.0 in x 59.806 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 59.806 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 59.806 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 59.806 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 59.806 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 59.806 * [taylor]: Taking taylor expansion of 1.0 in x 59.806 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 59.806 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 59.806 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 59.806 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 59.806 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 59.806 * [taylor]: Taking taylor expansion of 1.0 in x 59.806 * [taylor]: Taking taylor expansion of 1.0 in x 59.806 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 59.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 59.806 * [taylor]: Taking taylor expansion of x in x 59.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 59.807 * [taylor]: Taking taylor expansion of x in x 59.810 * [taylor]: Taking taylor expansion of 1.0 in x 59.812 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 59.812 * [taylor]: Taking taylor expansion of 0.5 in x 59.813 * [taylor]: Taking taylor expansion of 1.0 in x 59.818 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 59.818 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 59.819 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 59.819 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 59.819 * [taylor]: Taking taylor expansion of (- 0.5) in x 59.819 * [taylor]: Taking taylor expansion of 0.5 in x 59.819 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 59.819 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 59.819 * [taylor]: Taking taylor expansion of 1.0 in x 59.819 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 59.819 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 59.819 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 59.819 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 59.819 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 59.819 * [taylor]: Taking taylor expansion of 1.0 in x 59.819 * [taylor]: Taking taylor expansion of 1.0 in x 59.819 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 59.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 59.819 * [taylor]: Taking taylor expansion of x in x 59.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 59.819 * [taylor]: Taking taylor expansion of x in x 59.822 * [taylor]: Taking taylor expansion of 1.0 in x 59.823 * [taylor]: Taking taylor expansion of 1.0 in x 59.823 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 59.823 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 59.823 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 59.823 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 59.823 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 59.823 * [taylor]: Taking taylor expansion of 1.0 in x 59.823 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 59.823 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 59.823 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 59.823 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 59.823 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 59.823 * [taylor]: Taking taylor expansion of 1.0 in x 59.823 * [taylor]: Taking taylor expansion of 1.0 in x 59.823 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 59.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 59.823 * [taylor]: Taking taylor expansion of x in x 59.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 59.823 * [taylor]: Taking taylor expansion of x in x 59.826 * [taylor]: Taking taylor expansion of 1.0 in x 59.835 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 59.835 * [taylor]: Taking taylor expansion of 0.5 in x 59.836 * [taylor]: Taking taylor expansion of 1.0 in x 59.979 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 59.979 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 59.979 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 59.980 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 59.980 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 59.980 * [taylor]: Taking taylor expansion of (- 0.5) in x 59.980 * [taylor]: Taking taylor expansion of 0.5 in x 59.980 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 59.980 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 59.980 * [taylor]: Taking taylor expansion of 1.0 in x 59.980 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 59.980 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 59.980 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 59.980 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 59.980 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 59.980 * [taylor]: Taking taylor expansion of 1.0 in x 59.980 * [taylor]: Taking taylor expansion of 1.0 in x 59.980 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 59.980 * [taylor]: Taking taylor expansion of (/ -1 x) in x 59.980 * [taylor]: Taking taylor expansion of -1 in x 59.980 * [taylor]: Taking taylor expansion of x in x 59.980 * [taylor]: Taking taylor expansion of (/ -1 x) in x 59.980 * [taylor]: Taking taylor expansion of -1 in x 59.980 * [taylor]: Taking taylor expansion of x in x 59.984 * [taylor]: Taking taylor expansion of 1.0 in x 59.984 * [taylor]: Taking taylor expansion of 1.0 in x 59.984 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 59.984 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 59.984 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 59.984 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 59.984 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 59.984 * [taylor]: Taking taylor expansion of 1.0 in x 59.984 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 59.984 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 59.984 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 59.984 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 59.984 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 59.984 * [taylor]: Taking taylor expansion of 1.0 in x 59.984 * [taylor]: Taking taylor expansion of 1.0 in x 59.984 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 59.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 59.984 * [taylor]: Taking taylor expansion of -1 in x 59.984 * [taylor]: Taking taylor expansion of x in x 59.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 59.984 * [taylor]: Taking taylor expansion of -1 in x 59.984 * [taylor]: Taking taylor expansion of x in x 59.988 * [taylor]: Taking taylor expansion of 1.0 in x 59.997 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 59.997 * [taylor]: Taking taylor expansion of 0.5 in x 59.998 * [taylor]: Taking taylor expansion of 1.0 in x 60.003 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 60.003 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 60.004 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 60.004 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 60.004 * [taylor]: Taking taylor expansion of (- 0.5) in x 60.004 * [taylor]: Taking taylor expansion of 0.5 in x 60.004 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 60.004 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 60.004 * [taylor]: Taking taylor expansion of 1.0 in x 60.004 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 60.004 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 60.004 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 60.004 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 60.004 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 60.004 * [taylor]: Taking taylor expansion of 1.0 in x 60.004 * [taylor]: Taking taylor expansion of 1.0 in x 60.004 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 60.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.004 * [taylor]: Taking taylor expansion of -1 in x 60.004 * [taylor]: Taking taylor expansion of x in x 60.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.004 * [taylor]: Taking taylor expansion of -1 in x 60.004 * [taylor]: Taking taylor expansion of x in x 60.008 * [taylor]: Taking taylor expansion of 1.0 in x 60.008 * [taylor]: Taking taylor expansion of 1.0 in x 60.008 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 60.008 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 60.008 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 60.008 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 60.008 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 60.008 * [taylor]: Taking taylor expansion of 1.0 in x 60.008 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 60.008 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 60.008 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 60.008 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 60.008 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 60.008 * [taylor]: Taking taylor expansion of 1.0 in x 60.008 * [taylor]: Taking taylor expansion of 1.0 in x 60.008 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 60.008 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.008 * [taylor]: Taking taylor expansion of -1 in x 60.008 * [taylor]: Taking taylor expansion of x in x 60.008 * [taylor]: Taking taylor expansion of (/ -1 x) in x 60.009 * [taylor]: Taking taylor expansion of -1 in x 60.009 * [taylor]: Taking taylor expansion of x in x 60.012 * [taylor]: Taking taylor expansion of 1.0 in x 60.014 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 60.014 * [taylor]: Taking taylor expansion of 0.5 in x 60.015 * [taylor]: Taking taylor expansion of 1.0 in x 60.164 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 60.165 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in (x) around 0 60.165 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 60.165 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 60.165 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 60.165 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 60.165 * [taylor]: Taking taylor expansion of (- 0.5) in x 60.165 * [taylor]: Taking taylor expansion of 0.5 in x 60.165 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 60.165 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 60.165 * [taylor]: Taking taylor expansion of 1.0 in x 60.165 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 60.165 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 60.166 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 60.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 60.166 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 60.166 * [taylor]: Taking taylor expansion of 1.0 in x 60.166 * [taylor]: Taking taylor expansion of 1.0 in x 60.166 * [taylor]: Taking taylor expansion of (* x x) in x 60.166 * [taylor]: Taking taylor expansion of x in x 60.166 * [taylor]: Taking taylor expansion of x in x 60.169 * [taylor]: Taking taylor expansion of 1.0 in x 60.169 * [taylor]: Taking taylor expansion of 1.0 in x 60.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 60.169 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 60.169 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 60.169 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 60.169 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 60.169 * [taylor]: Taking taylor expansion of 0.5 in x 60.170 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 60.170 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 60.170 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 60.170 * [taylor]: Taking taylor expansion of 1.0 in x 60.170 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 60.170 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 60.170 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 60.170 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 60.170 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 60.170 * [taylor]: Taking taylor expansion of 1.0 in x 60.170 * [taylor]: Taking taylor expansion of 1.0 in x 60.170 * [taylor]: Taking taylor expansion of (* x x) in x 60.170 * [taylor]: Taking taylor expansion of x in x 60.170 * [taylor]: Taking taylor expansion of x in x 60.173 * [taylor]: Taking taylor expansion of 1.0 in x 60.179 * [taylor]: Taking taylor expansion of 1.0 in x 60.200 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 60.200 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 60.200 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 60.200 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 60.200 * [taylor]: Taking taylor expansion of (- 0.5) in x 60.200 * [taylor]: Taking taylor expansion of 0.5 in x 60.200 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 60.200 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 60.200 * [taylor]: Taking taylor expansion of 1.0 in x 60.200 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 60.200 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 60.200 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 60.200 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 60.200 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 60.200 * [taylor]: Taking taylor expansion of 1.0 in x 60.200 * [taylor]: Taking taylor expansion of 1.0 in x 60.200 * [taylor]: Taking taylor expansion of (* x x) in x 60.200 * [taylor]: Taking taylor expansion of x in x 60.200 * [taylor]: Taking taylor expansion of x in x 60.204 * [taylor]: Taking taylor expansion of 1.0 in x 60.204 * [taylor]: Taking taylor expansion of 1.0 in x 60.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 60.204 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 60.204 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 60.204 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 60.204 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 60.204 * [taylor]: Taking taylor expansion of 0.5 in x 60.204 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 60.204 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 60.204 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 60.205 * [taylor]: Taking taylor expansion of 1.0 in x 60.205 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 60.205 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 60.205 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 60.205 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 60.205 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 60.205 * [taylor]: Taking taylor expansion of 1.0 in x 60.205 * [taylor]: Taking taylor expansion of 1.0 in x 60.205 * [taylor]: Taking taylor expansion of (* x x) in x 60.205 * [taylor]: Taking taylor expansion of x in x 60.205 * [taylor]: Taking taylor expansion of x in x 60.208 * [taylor]: Taking taylor expansion of 1.0 in x 60.214 * [taylor]: Taking taylor expansion of 1.0 in x 61.351 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in (x) around 0 61.351 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 61.351 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 61.351 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 61.351 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 61.351 * [taylor]: Taking taylor expansion of (- 0.5) in x 61.351 * [taylor]: Taking taylor expansion of 0.5 in x 61.351 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 61.351 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 61.351 * [taylor]: Taking taylor expansion of 1.0 in x 61.351 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 61.351 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 61.351 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 61.351 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 61.351 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 61.351 * [taylor]: Taking taylor expansion of 1.0 in x 61.351 * [taylor]: Taking taylor expansion of 1.0 in x 61.351 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 61.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 61.351 * [taylor]: Taking taylor expansion of x in x 61.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 61.352 * [taylor]: Taking taylor expansion of x in x 61.355 * [taylor]: Taking taylor expansion of 1.0 in x 61.355 * [taylor]: Taking taylor expansion of 1.0 in x 61.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 61.355 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 61.355 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 61.355 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 61.355 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 61.355 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 61.355 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 61.355 * [taylor]: Taking taylor expansion of 1.0 in x 61.355 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 61.355 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 61.355 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 61.355 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 61.355 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 61.355 * [taylor]: Taking taylor expansion of 1.0 in x 61.355 * [taylor]: Taking taylor expansion of 1.0 in x 61.355 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 61.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 61.355 * [taylor]: Taking taylor expansion of x in x 61.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 61.356 * [taylor]: Taking taylor expansion of x in x 61.366 * [taylor]: Taking taylor expansion of 1.0 in x 61.369 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 61.369 * [taylor]: Taking taylor expansion of 0.5 in x 61.370 * [taylor]: Taking taylor expansion of 1.0 in x 61.400 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 61.400 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 61.400 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 61.400 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 61.400 * [taylor]: Taking taylor expansion of (- 0.5) in x 61.400 * [taylor]: Taking taylor expansion of 0.5 in x 61.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 61.400 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 61.400 * [taylor]: Taking taylor expansion of 1.0 in x 61.400 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 61.400 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 61.400 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 61.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 61.400 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 61.400 * [taylor]: Taking taylor expansion of 1.0 in x 61.400 * [taylor]: Taking taylor expansion of 1.0 in x 61.400 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 61.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 61.400 * [taylor]: Taking taylor expansion of x in x 61.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 61.401 * [taylor]: Taking taylor expansion of x in x 61.404 * [taylor]: Taking taylor expansion of 1.0 in x 61.404 * [taylor]: Taking taylor expansion of 1.0 in x 61.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 61.404 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 61.404 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 61.404 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 61.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 61.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 61.404 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 61.404 * [taylor]: Taking taylor expansion of 1.0 in x 61.404 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 61.404 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 61.404 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 61.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 61.404 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 61.404 * [taylor]: Taking taylor expansion of 1.0 in x 61.404 * [taylor]: Taking taylor expansion of 1.0 in x 61.404 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 61.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 61.404 * [taylor]: Taking taylor expansion of x in x 61.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 61.405 * [taylor]: Taking taylor expansion of x in x 61.408 * [taylor]: Taking taylor expansion of 1.0 in x 61.410 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 61.410 * [taylor]: Taking taylor expansion of 0.5 in x 61.411 * [taylor]: Taking taylor expansion of 1.0 in x 61.691 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in (x) around 0 61.691 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 61.691 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 61.691 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 61.691 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 61.691 * [taylor]: Taking taylor expansion of (- 0.5) in x 61.691 * [taylor]: Taking taylor expansion of 0.5 in x 61.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 61.691 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 61.691 * [taylor]: Taking taylor expansion of 1.0 in x 61.691 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 61.691 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 61.691 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 61.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 61.692 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 61.692 * [taylor]: Taking taylor expansion of 1.0 in x 61.692 * [taylor]: Taking taylor expansion of 1.0 in x 61.692 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 61.692 * [taylor]: Taking taylor expansion of (/ -1 x) in x 61.692 * [taylor]: Taking taylor expansion of -1 in x 61.692 * [taylor]: Taking taylor expansion of x in x 61.692 * [taylor]: Taking taylor expansion of (/ -1 x) in x 61.692 * [taylor]: Taking taylor expansion of -1 in x 61.692 * [taylor]: Taking taylor expansion of x in x 61.695 * [taylor]: Taking taylor expansion of 1.0 in x 61.695 * [taylor]: Taking taylor expansion of 1.0 in x 61.695 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 61.695 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 61.695 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 61.695 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 61.695 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 61.695 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 61.696 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 61.696 * [taylor]: Taking taylor expansion of 1.0 in x 61.696 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 61.696 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 61.696 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 61.696 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 61.696 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 61.696 * [taylor]: Taking taylor expansion of 1.0 in x 61.696 * [taylor]: Taking taylor expansion of 1.0 in x 61.696 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 61.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 61.696 * [taylor]: Taking taylor expansion of -1 in x 61.696 * [taylor]: Taking taylor expansion of x in x 61.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 61.696 * [taylor]: Taking taylor expansion of -1 in x 61.696 * [taylor]: Taking taylor expansion of x in x 61.699 * [taylor]: Taking taylor expansion of 1.0 in x 61.702 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 61.702 * [taylor]: Taking taylor expansion of 0.5 in x 61.702 * [taylor]: Taking taylor expansion of 1.0 in x 61.731 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 61.731 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 61.732 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 61.732 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 61.732 * [taylor]: Taking taylor expansion of (- 0.5) in x 61.732 * [taylor]: Taking taylor expansion of 0.5 in x 61.732 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 61.732 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 61.732 * [taylor]: Taking taylor expansion of 1.0 in x 61.732 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 61.732 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 61.732 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 61.732 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 61.732 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 61.732 * [taylor]: Taking taylor expansion of 1.0 in x 61.732 * [taylor]: Taking taylor expansion of 1.0 in x 61.732 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 61.732 * [taylor]: Taking taylor expansion of (/ -1 x) in x 61.732 * [taylor]: Taking taylor expansion of -1 in x 61.732 * [taylor]: Taking taylor expansion of x in x 61.732 * [taylor]: Taking taylor expansion of (/ -1 x) in x 61.732 * [taylor]: Taking taylor expansion of -1 in x 61.732 * [taylor]: Taking taylor expansion of x in x 61.736 * [taylor]: Taking taylor expansion of 1.0 in x 61.736 * [taylor]: Taking taylor expansion of 1.0 in x 61.736 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 61.736 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 61.736 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 61.736 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 61.736 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 61.736 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 61.736 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 61.736 * [taylor]: Taking taylor expansion of 1.0 in x 61.736 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 61.736 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 61.736 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 61.736 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 61.736 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 61.736 * [taylor]: Taking taylor expansion of 1.0 in x 61.736 * [taylor]: Taking taylor expansion of 1.0 in x 61.736 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 61.736 * [taylor]: Taking taylor expansion of (/ -1 x) in x 61.736 * [taylor]: Taking taylor expansion of -1 in x 61.736 * [taylor]: Taking taylor expansion of x in x 61.736 * [taylor]: Taking taylor expansion of (/ -1 x) in x 61.736 * [taylor]: Taking taylor expansion of -1 in x 61.736 * [taylor]: Taking taylor expansion of x in x 61.740 * [taylor]: Taking taylor expansion of 1.0 in x 61.742 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 61.742 * [taylor]: Taking taylor expansion of 0.5 in x 61.743 * [taylor]: Taking taylor expansion of 1.0 in x 62.024 * * * [progress]: simplifying candidates 62.205 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log1p (/ (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (- (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (- (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (/ (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (/ (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (/ (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (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)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (* (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (* (* (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (* (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (cbrt (/ (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (/ (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (cbrt (/ (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (* (/ (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (sqrt (/ (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (sqrt (/ (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (- (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (cbrt (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (/ (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (sqrt (* (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (/ (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (sqrt (sqrt (* (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 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 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1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))))) (fma 0.09375 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5)))) (fma 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 7)))) (fma 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (fma 0.015625 (* (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7)))) (* 0.1875 (/ (pow x 4) (* (pow (sqrt 1.0) 5) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))))))))) (- (- (fma 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 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(sqrt 1.0))) 1.0) (pow (sqrt 1.0) 7))) (sqrt (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)))))) (fma 0.0625 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 4)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.1875 (* (/ (pow x 4) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0)))) (fma 0.046875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.0078125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 7)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.5 (* (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) (/ 1 (sqrt 1.0))))))))) (- (- (fma 0.03125 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))) (fma 0.046875 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)))) (fma 0.5 (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (* 0.125 (* (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))))))) (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))))) (* 0.125 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))))) (fma 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))) (fma 0.03125 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))) (fma 0.046875 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)))) (fma 0.5 (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (fma 0.125 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))) (* 0.125 (* (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))))))))) 63.999 * * * [progress]: adding candidates to table 72.339 * [progress]: [Phase 3 of 3] Extracting. 72.339 * * [regime]: Finding splitpoints for: (# # # #) 72.357 * * * [regime-changes]: Trying 4 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) x) 72.357 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 72.414 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# #) 72.431 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 72.489 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# #) 72.505 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 72.559 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# #) 72.573 * * * * [regimes]: Trying to branch on x from (# # # #) 72.634 * * * [regime]: Found split indices: #