11.868 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.033 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.035 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.036 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.037 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.039 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.040 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.041 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.042 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.055 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.057 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.063 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.072 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.072 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.072 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.072 * [taylor]: Taking taylor expansion of 0.5 in x 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.073 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.073 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.073 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.074 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.074 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.074 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (* x x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.082 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.082 * [taylor]: Taking taylor expansion of 0.5 in x 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.083 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.083 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.083 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.083 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.083 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.083 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (* x x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [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 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.328 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.328 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.328 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.328 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.328 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.328 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.339 * [taylor]: Taking taylor expansion of 0.5 in x 0.340 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.340 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.340 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.340 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.340 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.346 * [taylor]: Taking taylor expansion of 0.5 in x 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.384 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.384 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.385 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.385 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.390 * [taylor]: Taking taylor expansion of 0.5 in x 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.391 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.391 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.391 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.391 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.391 * [taylor]: Taking taylor expansion of -1 in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.392 * [taylor]: Taking taylor expansion of -1 in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.397 * [taylor]: Taking taylor expansion of 0.5 in x 0.439 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.439 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.439 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.439 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.439 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.439 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (* x x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.442 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.442 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.442 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (* x x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.483 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.483 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.483 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.515 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.515 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.516 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.516 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.516 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.519 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.519 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.519 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.520 * [taylor]: Taking taylor expansion of -1 in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.520 * [taylor]: Taking taylor expansion of -1 in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.544 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.544 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.544 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.544 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.544 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.544 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.544 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (* x x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.547 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.547 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.548 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.548 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.548 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of (* x x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.614 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.614 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.614 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.614 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.614 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.614 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.617 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.631 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.631 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.631 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.631 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.631 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.631 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.631 * [taylor]: Taking taylor expansion of -1 in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.631 * [taylor]: Taking taylor expansion of -1 in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.635 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.635 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.635 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.635 * [taylor]: Taking taylor expansion of -1 in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.635 * [taylor]: Taking taylor expansion of -1 in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.649 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.649 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.649 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.649 * [taylor]: Taking taylor expansion of 0.5 in x 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.649 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.649 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.649 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.649 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.650 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.650 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.650 * [taylor]: Taking taylor expansion of (* x x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.658 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.658 * [taylor]: Taking taylor expansion of 0.5 in x 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.659 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.659 * [taylor]: Taking taylor expansion of 1.0 in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.659 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.659 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.659 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.659 * [taylor]: Taking taylor expansion of 1.0 in x 0.659 * [taylor]: Taking taylor expansion of 1.0 in x 0.659 * [taylor]: Taking taylor expansion of (* x x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.848 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.848 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.848 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.848 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.848 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.848 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.848 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.854 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.854 * [taylor]: Taking taylor expansion of 0.5 in x 0.855 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.855 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.855 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.855 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.855 * [taylor]: Taking taylor expansion of 1.0 in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.855 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.855 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.855 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.855 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.855 * [taylor]: Taking taylor expansion of 1.0 in x 0.855 * [taylor]: Taking taylor expansion of 1.0 in x 0.855 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.860 * [taylor]: Taking taylor expansion of 0.5 in x 0.884 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.884 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.884 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.884 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.884 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.884 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.884 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.884 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.884 * [taylor]: Taking taylor expansion of -1 in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.885 * [taylor]: Taking taylor expansion of -1 in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.890 * [taylor]: Taking taylor expansion of 0.5 in x 0.890 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.891 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.891 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.891 * [taylor]: Taking taylor expansion of 1.0 in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.891 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.891 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.891 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.891 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.891 * [taylor]: Taking taylor expansion of 1.0 in x 0.891 * [taylor]: Taking taylor expansion of 1.0 in x 0.891 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.891 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.891 * [taylor]: Taking taylor expansion of -1 in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.891 * [taylor]: Taking taylor expansion of -1 in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.896 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.896 * [taylor]: Taking taylor expansion of 0.5 in x 0.919 * * * [progress]: simplifying candidates 0.929 * [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 (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 (- (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 (sqrt 1.0) (sqrt 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 (sqrt 1.0) (sqrt 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 (sqrt 1.0) (sqrt 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 1 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 1 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 1 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 1 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)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (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 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 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)) (+ (* (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))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 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)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 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)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) 1.0)) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ 1.0 (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (+ 1.0 (* 0.5 (/ 1 (pow x 3)))) (* 1.0 (/ 1 x))) (- (+ (* (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)))))) (+ (* 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))))))) (- (+ (* 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))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 0.938 * * [simplify]: iteration 0 : 533 enodes (cost 1129 ) 0.947 * * [simplify]: iteration 1 : 2036 enodes (cost 878 ) 0.982 * * [simplify]: iteration 2 : 5001 enodes (cost 876 ) 0.986 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (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 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (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 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (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 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (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 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (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))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (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 (- 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 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))))) (+ (/ (- 0.5) (pow x 3)) (fma 1.0 (/ 1 x) 1.0)) (+ (/ (- 1.0) x) (fma 0.5 (/ 1 (pow x 3)) 1.0)) (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))))))) 0.987 * * * [progress]: adding candidates to table 1.250 * * [progress]: iteration 2 / 4 1.250 * * * [progress]: picking best candidate 1.267 * * * * [pick]: Picked # 1.267 * * * [progress]: localizing error 1.280 * * * [progress]: generating rewritten candidates 1.280 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.280 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.282 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.284 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.289 * * * [progress]: generating series expansions 1.289 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.290 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.290 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.290 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.290 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.290 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.290 * [taylor]: Taking taylor expansion of 0.5 in x 1.290 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.290 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.290 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.290 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.290 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.290 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [taylor]: Taking taylor expansion of (* x x) in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of 1.0 in x 1.293 * [taylor]: Taking taylor expansion of 1.0 in x 1.293 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.294 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.294 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.294 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.294 * [taylor]: Taking taylor expansion of 0.5 in x 1.294 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.294 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.294 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.294 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.294 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.294 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (* x x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.297 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.389 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.389 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.389 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.389 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.389 * [taylor]: Taking taylor expansion of 0.5 in x 1.389 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.389 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.389 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.389 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.389 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.389 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.390 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.390 * [taylor]: Taking taylor expansion of 1.0 in x 1.390 * [taylor]: Taking taylor expansion of 1.0 in x 1.390 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.393 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.393 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.393 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.393 * [taylor]: Taking taylor expansion of 0.5 in x 1.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.393 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.393 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.393 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.393 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.415 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.415 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.416 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.416 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.416 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.416 * [taylor]: Taking taylor expansion of 0.5 in x 1.416 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.416 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.416 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.416 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.416 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.416 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.416 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.416 * [taylor]: Taking taylor expansion of -1 in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.416 * [taylor]: Taking taylor expansion of -1 in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.420 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.420 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.420 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.420 * [taylor]: Taking taylor expansion of 0.5 in x 1.420 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.420 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.420 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.420 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.420 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.420 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.420 * [taylor]: Taking taylor expansion of -1 in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.420 * [taylor]: Taking taylor expansion of -1 in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.449 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.449 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.449 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.449 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.449 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.449 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.449 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of (* x x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.452 * [taylor]: Taking taylor expansion of 1.0 in x 1.452 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.452 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.452 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.452 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.452 * [taylor]: Taking taylor expansion of 1.0 in x 1.452 * [taylor]: Taking taylor expansion of 1.0 in x 1.452 * [taylor]: Taking taylor expansion of (* x x) in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.492 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.492 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.492 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.492 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.492 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.492 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.492 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.496 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.496 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.496 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.496 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.496 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.526 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.526 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.526 * [taylor]: Taking taylor expansion of 1.0 in x 1.526 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.526 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.526 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.526 * [taylor]: Taking taylor expansion of 1.0 in x 1.526 * [taylor]: Taking taylor expansion of 1.0 in x 1.526 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.526 * [taylor]: Taking taylor expansion of -1 in x 1.526 * [taylor]: Taking taylor expansion of x in x 1.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.526 * [taylor]: Taking taylor expansion of -1 in x 1.526 * [taylor]: Taking taylor expansion of x in x 1.529 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.529 * [taylor]: Taking taylor expansion of 1.0 in x 1.529 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.530 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.530 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.530 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.530 * [taylor]: Taking taylor expansion of 1.0 in x 1.530 * [taylor]: Taking taylor expansion of 1.0 in x 1.530 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.530 * [taylor]: Taking taylor expansion of -1 in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.530 * [taylor]: Taking taylor expansion of -1 in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.553 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.553 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.553 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.553 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.553 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.553 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [taylor]: Taking taylor expansion of (* x x) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.557 * [taylor]: Taking taylor expansion of 1.0 in x 1.557 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.557 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.557 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.557 * [taylor]: Taking taylor expansion of 1.0 in x 1.557 * [taylor]: Taking taylor expansion of 1.0 in x 1.557 * [taylor]: Taking taylor expansion of (* x x) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.603 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.603 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.603 * [taylor]: Taking taylor expansion of 1.0 in x 1.603 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.603 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.603 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.603 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.604 * [taylor]: Taking taylor expansion of 1.0 in x 1.604 * [taylor]: Taking taylor expansion of 1.0 in x 1.604 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.607 * [taylor]: Taking taylor expansion of 1.0 in x 1.607 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.607 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.607 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.607 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.607 * [taylor]: Taking taylor expansion of 1.0 in x 1.608 * [taylor]: Taking taylor expansion of 1.0 in x 1.608 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.631 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.631 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.631 * [taylor]: Taking taylor expansion of 1.0 in x 1.631 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.631 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.631 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.631 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.631 * [taylor]: Taking taylor expansion of 1.0 in x 1.631 * [taylor]: Taking taylor expansion of 1.0 in x 1.631 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.631 * [taylor]: Taking taylor expansion of -1 in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.631 * [taylor]: Taking taylor expansion of -1 in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.634 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.634 * [taylor]: Taking taylor expansion of 1.0 in x 1.635 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.635 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.635 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.635 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.635 * [taylor]: Taking taylor expansion of 1.0 in x 1.635 * [taylor]: Taking taylor expansion of 1.0 in x 1.635 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.635 * [taylor]: Taking taylor expansion of -1 in x 1.635 * [taylor]: Taking taylor expansion of x in x 1.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.635 * [taylor]: Taking taylor expansion of -1 in x 1.635 * [taylor]: Taking taylor expansion of x in x 1.658 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.658 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.658 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.658 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.658 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.658 * [taylor]: Taking taylor expansion of 0.5 in x 1.659 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.659 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.659 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.659 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.659 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (* x x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.668 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.668 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.668 * [taylor]: Taking taylor expansion of 0.5 in x 1.668 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.668 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.668 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.668 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.668 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.669 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.669 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.669 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.669 * [taylor]: Taking taylor expansion of 1.0 in x 1.669 * [taylor]: Taking taylor expansion of 1.0 in x 1.669 * [taylor]: Taking taylor expansion of (* x x) in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of 1.0 in x 1.677 * [taylor]: Taking taylor expansion of 1.0 in x 1.892 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.892 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.892 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.892 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.892 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.892 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.892 * [taylor]: Taking taylor expansion of 1.0 in x 1.892 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.892 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.892 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.892 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.892 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.892 * [taylor]: Taking taylor expansion of 1.0 in x 1.892 * [taylor]: Taking taylor expansion of 1.0 in x 1.892 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.896 * [taylor]: Taking taylor expansion of 1.0 in x 1.898 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.898 * [taylor]: Taking taylor expansion of 0.5 in x 1.898 * [taylor]: Taking taylor expansion of 1.0 in x 1.898 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.899 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.899 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.899 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.899 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.899 * [taylor]: Taking taylor expansion of 1.0 in x 1.899 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.899 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.899 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.899 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.899 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.899 * [taylor]: Taking taylor expansion of 1.0 in x 1.899 * [taylor]: Taking taylor expansion of 1.0 in x 1.899 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of 1.0 in x 1.904 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.904 * [taylor]: Taking taylor expansion of 0.5 in x 1.905 * [taylor]: Taking taylor expansion of 1.0 in x 1.941 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.941 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.941 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.941 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.941 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.941 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.941 * [taylor]: Taking taylor expansion of 1.0 in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.942 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.942 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.942 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.942 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.942 * [taylor]: Taking taylor expansion of 1.0 in x 1.942 * [taylor]: Taking taylor expansion of 1.0 in x 1.942 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.942 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.942 * [taylor]: Taking taylor expansion of -1 in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.942 * [taylor]: Taking taylor expansion of -1 in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.945 * [taylor]: Taking taylor expansion of 1.0 in x 1.947 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.947 * [taylor]: Taking taylor expansion of 0.5 in x 1.948 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.948 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.948 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.948 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.948 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.948 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.948 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.948 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.948 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.948 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.948 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.948 * [taylor]: Taking taylor expansion of -1 in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.949 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.949 * [taylor]: Taking taylor expansion of -1 in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.952 * [taylor]: Taking taylor expansion of 1.0 in x 1.954 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.954 * [taylor]: Taking taylor expansion of 0.5 in x 1.955 * [taylor]: Taking taylor expansion of 1.0 in x 1.984 * * * [progress]: simplifying candidates 1.986 * [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 (/ 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) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ (* 0.25 (/ (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)))) (- (+ (* 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)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 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)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* (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))))) 1.0)) (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (* 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))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 1.992 * * [simplify]: iteration 0 : 430 enodes (cost 681 ) 2.000 * * [simplify]: iteration 1 : 1662 enodes (cost 625 ) 2.028 * * [simplify]: iteration 2 : 5001 enodes (cost 623 ) 2.031 * [simplify]: Simplified to: (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))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (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 (/ 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 (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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (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 (- 0.5) (/ (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)))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 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)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) 2.032 * * * [progress]: adding candidates to table 2.381 * * [progress]: iteration 3 / 4 2.381 * * * [progress]: picking best candidate 2.395 * * * * [pick]: Picked # 2.395 * * * [progress]: localizing error 2.410 * * * [progress]: generating rewritten candidates 2.410 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.411 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.412 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 2.414 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) 2.418 * * * [progress]: generating series expansions 2.418 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.418 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.419 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.419 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.419 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.419 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.419 * [taylor]: Taking taylor expansion of 0.5 in x 2.419 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.419 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.419 * [taylor]: Taking taylor expansion of 1.0 in x 2.419 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.419 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.419 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.419 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.419 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.419 * [taylor]: Taking taylor expansion of 1.0 in x 2.419 * [taylor]: Taking taylor expansion of 1.0 in x 2.419 * [taylor]: Taking taylor expansion of (* x x) in x 2.419 * [taylor]: Taking taylor expansion of x in x 2.419 * [taylor]: Taking taylor expansion of x in x 2.422 * [taylor]: Taking taylor expansion of 1.0 in x 2.422 * [taylor]: Taking taylor expansion of 1.0 in x 2.422 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.422 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.422 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.422 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.422 * [taylor]: Taking taylor expansion of 0.5 in x 2.422 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.422 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.422 * [taylor]: Taking taylor expansion of 1.0 in x 2.422 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.422 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.422 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.422 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.422 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.422 * [taylor]: Taking taylor expansion of 1.0 in x 2.422 * [taylor]: Taking taylor expansion of 1.0 in x 2.423 * [taylor]: Taking taylor expansion of (* x x) in x 2.423 * [taylor]: Taking taylor expansion of x in x 2.423 * [taylor]: Taking taylor expansion of x in x 2.425 * [taylor]: Taking taylor expansion of 1.0 in x 2.425 * [taylor]: Taking taylor expansion of 1.0 in x 2.516 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.516 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.517 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.517 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.517 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.517 * [taylor]: Taking taylor expansion of 0.5 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 x in x 2.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.520 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.520 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.520 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.520 * [taylor]: Taking taylor expansion of 0.5 in x 2.521 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.521 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.521 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.521 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.521 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.521 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.521 * [taylor]: Taking taylor expansion of x in x 2.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.521 * [taylor]: Taking taylor expansion of x in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.549 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.549 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.549 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.549 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.549 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.549 * [taylor]: Taking taylor expansion of 0.5 in x 2.549 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.549 * [taylor]: Taking taylor expansion of 1.0 in x 2.549 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.549 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.550 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.550 * [taylor]: Taking taylor expansion of 1.0 in x 2.550 * [taylor]: Taking taylor expansion of 1.0 in x 2.550 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.550 * [taylor]: Taking taylor expansion of -1 in x 2.550 * [taylor]: Taking taylor expansion of x in x 2.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.550 * [taylor]: Taking taylor expansion of -1 in x 2.550 * [taylor]: Taking taylor expansion of x in x 2.553 * [taylor]: Taking taylor expansion of 1.0 in x 2.553 * [taylor]: Taking taylor expansion of 1.0 in x 2.553 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.553 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.553 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.553 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.553 * [taylor]: Taking taylor expansion of 0.5 in x 2.553 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.553 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.553 * [taylor]: Taking taylor expansion of 1.0 in x 2.553 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.553 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.554 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.554 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.554 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.554 * [taylor]: Taking taylor expansion of 1.0 in x 2.554 * [taylor]: Taking taylor expansion of 1.0 in x 2.554 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.554 * [taylor]: Taking taylor expansion of -1 in x 2.554 * [taylor]: Taking taylor expansion of x in x 2.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.554 * [taylor]: Taking taylor expansion of -1 in x 2.554 * [taylor]: Taking taylor expansion of x in x 2.557 * [taylor]: Taking taylor expansion of 1.0 in x 2.557 * [taylor]: Taking taylor expansion of 1.0 in x 2.575 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.576 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.576 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.576 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.576 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.576 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.576 * [taylor]: Taking taylor expansion of 0.5 in x 2.576 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.576 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.576 * [taylor]: Taking taylor expansion of 1.0 in x 2.576 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.576 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.576 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.576 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.576 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.576 * [taylor]: Taking taylor expansion of 1.0 in x 2.576 * [taylor]: Taking taylor expansion of 1.0 in x 2.576 * [taylor]: Taking taylor expansion of (* x x) in x 2.576 * [taylor]: Taking taylor expansion of x in x 2.576 * [taylor]: Taking taylor expansion of x in x 2.579 * [taylor]: Taking taylor expansion of 1.0 in x 2.579 * [taylor]: Taking taylor expansion of 1.0 in x 2.579 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.579 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.579 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.579 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.580 * [taylor]: Taking taylor expansion of 0.5 in x 2.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.580 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.580 * [taylor]: Taking taylor expansion of 1.0 in x 2.580 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.580 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.580 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.580 * [taylor]: Taking taylor expansion of 1.0 in x 2.580 * [taylor]: Taking taylor expansion of 1.0 in x 2.580 * [taylor]: Taking taylor expansion of (* x x) in x 2.580 * [taylor]: Taking taylor expansion of x in x 2.580 * [taylor]: Taking taylor expansion of x in x 2.583 * [taylor]: Taking taylor expansion of 1.0 in x 2.583 * [taylor]: Taking taylor expansion of 1.0 in x 2.680 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.680 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.680 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.680 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.680 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.680 * [taylor]: Taking taylor expansion of 0.5 in x 2.680 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.680 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.680 * [taylor]: Taking taylor expansion of 1.0 in x 2.680 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.680 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.680 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.680 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.680 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.680 * [taylor]: Taking taylor expansion of 1.0 in x 2.680 * [taylor]: Taking taylor expansion of 1.0 in x 2.680 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.680 * [taylor]: Taking taylor expansion of x in x 2.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.681 * [taylor]: Taking taylor expansion of x 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 (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.684 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.684 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.684 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.684 * [taylor]: Taking taylor expansion of 0.5 in x 2.684 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.684 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.684 * [taylor]: Taking taylor expansion of 1.0 in x 2.684 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.684 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.684 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.684 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 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 (* (/ 1 x) (/ 1 x)) in x 2.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.713 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.713 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.715 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.715 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.715 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.715 * [taylor]: Taking taylor expansion of 0.5 in x 2.715 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.715 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.715 * [taylor]: Taking taylor expansion of 1.0 in x 2.715 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.715 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.715 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.715 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.715 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.715 * [taylor]: Taking taylor expansion of 1.0 in x 2.715 * [taylor]: Taking taylor expansion of 1.0 in x 2.715 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.715 * [taylor]: Taking taylor expansion of -1 in x 2.715 * [taylor]: Taking taylor expansion of x in x 2.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.715 * [taylor]: Taking taylor expansion of -1 in x 2.715 * [taylor]: Taking taylor expansion of x in x 2.719 * [taylor]: Taking taylor expansion of 1.0 in x 2.719 * [taylor]: Taking taylor expansion of 1.0 in x 2.719 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.719 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.719 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.719 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.719 * [taylor]: Taking taylor expansion of 0.5 in x 2.719 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.719 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.719 * [taylor]: Taking taylor expansion of 1.0 in x 2.719 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.719 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.719 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.719 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.719 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.719 * [taylor]: Taking taylor expansion of 1.0 in x 2.719 * [taylor]: Taking taylor expansion of 1.0 in x 2.719 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.719 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.719 * [taylor]: Taking taylor expansion of -1 in x 2.719 * [taylor]: Taking taylor expansion of x in x 2.719 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.719 * [taylor]: Taking taylor expansion of -1 in x 2.720 * [taylor]: Taking taylor expansion of x in x 2.723 * [taylor]: Taking taylor expansion of 1.0 in x 2.723 * [taylor]: Taking taylor expansion of 1.0 in x 2.740 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.741 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.741 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.741 * [taylor]: Taking taylor expansion of 1.0 in x 2.741 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.741 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.741 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.741 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.741 * [taylor]: Taking taylor expansion of 1.0 in x 2.741 * [taylor]: Taking taylor expansion of 1.0 in x 2.741 * [taylor]: Taking taylor expansion of (* x x) in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.744 * [taylor]: Taking taylor expansion of 1.0 in x 2.744 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.744 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.744 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.744 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.744 * [taylor]: Taking taylor expansion of 1.0 in x 2.744 * [taylor]: Taking taylor expansion of 1.0 in x 2.744 * [taylor]: Taking taylor expansion of (* x x) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.791 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.791 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.791 * [taylor]: Taking taylor expansion of 1.0 in x 2.791 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.791 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.791 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.791 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.791 * [taylor]: Taking taylor expansion of 1.0 in x 2.791 * [taylor]: Taking taylor expansion of 1.0 in x 2.791 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.791 * [taylor]: Taking taylor expansion of x in x 2.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.791 * [taylor]: Taking taylor expansion of x in x 2.795 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.795 * [taylor]: Taking taylor expansion of 1.0 in x 2.795 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.795 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.795 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 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 (* (/ 1 x) (/ 1 x)) in x 2.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.795 * [taylor]: Taking taylor expansion of x in x 2.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.795 * [taylor]: Taking taylor expansion of x in x 2.818 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.818 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.818 * [taylor]: Taking taylor expansion of 1.0 in x 2.818 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.818 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.818 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.818 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.818 * [taylor]: Taking taylor expansion of 1.0 in x 2.818 * [taylor]: Taking taylor expansion of 1.0 in x 2.818 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.818 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.818 * [taylor]: Taking taylor expansion of -1 in x 2.818 * [taylor]: Taking taylor expansion of x in x 2.818 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.818 * [taylor]: Taking taylor expansion of -1 in x 2.819 * [taylor]: Taking taylor expansion of x in x 2.822 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.822 * [taylor]: Taking taylor expansion of 1.0 in x 2.822 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.822 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.822 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.822 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.822 * [taylor]: Taking taylor expansion of 1.0 in x 2.822 * [taylor]: Taking taylor expansion of 1.0 in x 2.822 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.822 * [taylor]: Taking taylor expansion of -1 in x 2.822 * [taylor]: Taking taylor expansion of x in x 2.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.822 * [taylor]: Taking taylor expansion of -1 in x 2.822 * [taylor]: Taking taylor expansion of x in x 2.845 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2) 2.845 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.845 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.846 * [taylor]: Taking taylor expansion of 1.0 in x 2.846 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.846 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.846 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x 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 (* x x) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.849 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.849 * [taylor]: Taking taylor expansion of 1.0 in x 2.849 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.849 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.849 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.849 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.849 * [taylor]: Taking taylor expansion of 1.0 in x 2.849 * [taylor]: Taking taylor expansion of 1.0 in x 2.849 * [taylor]: Taking taylor expansion of (* x x) in x 2.849 * [taylor]: Taking taylor expansion of x in x 2.849 * [taylor]: Taking taylor expansion of x in x 2.897 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.897 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.897 * [taylor]: Taking taylor expansion of 1.0 in x 2.897 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.897 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.897 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.897 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.897 * [taylor]: Taking taylor expansion of 1.0 in x 2.897 * [taylor]: Taking taylor expansion of 1.0 in x 2.897 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.897 * [taylor]: Taking taylor expansion of x in x 2.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.898 * [taylor]: Taking taylor expansion of x in x 2.901 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.901 * [taylor]: Taking taylor expansion of 1.0 in x 2.901 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.901 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.901 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.901 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.901 * [taylor]: Taking taylor expansion of 1.0 in x 2.901 * [taylor]: Taking taylor expansion of 1.0 in x 2.901 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.901 * [taylor]: Taking taylor expansion of x in x 2.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.901 * [taylor]: Taking taylor expansion of x in x 2.924 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.924 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.924 * [taylor]: Taking taylor expansion of 1.0 in x 2.924 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.925 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.925 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.925 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.925 * [taylor]: Taking taylor expansion of 1.0 in x 2.925 * [taylor]: Taking taylor expansion of 1.0 in x 2.925 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.925 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.925 * [taylor]: Taking taylor expansion of -1 in x 2.925 * [taylor]: Taking taylor expansion of x in x 2.925 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.925 * [taylor]: Taking taylor expansion of -1 in x 2.925 * [taylor]: Taking taylor expansion of x in x 2.928 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.928 * [taylor]: Taking taylor expansion of 1.0 in x 2.928 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.928 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.928 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.928 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.928 * [taylor]: Taking taylor expansion of 1.0 in x 2.928 * [taylor]: Taking taylor expansion of 1.0 in x 2.929 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.929 * [taylor]: Taking taylor expansion of -1 in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.929 * [taylor]: Taking taylor expansion of -1 in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.953 * * * [progress]: simplifying candidates 2.954 * [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 (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp 1) (exp (* (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (exp (sqrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp 1) (exp (log (* (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)))))) (exp (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log 1)) (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (exp (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 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) (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)))) (- (+ (* 0.25 (/ (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)))) (- (+ (* 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)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 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)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 2.966 * * [simplify]: iteration 0 : 273 enodes (cost 648 ) 2.971 * * [simplify]: iteration 1 : 913 enodes (cost 592 ) 2.990 * * [simplify]: iteration 2 : 4559 enodes (cost 571 ) 3.114 * * [simplify]: iteration 3 : 5001 enodes (cost 565 ) 3.117 * [simplify]: Simplified to: (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))) (pow (exp 2) (log (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))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (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))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) E (exp (* (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (exp (sqrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) E (pow (exp 2) (log (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 (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))) 1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (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))) (pow (exp 2) (log (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))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (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 (/ 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 (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) (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 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (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 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (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 (/ 1 x) (- 1.0 (/ 0.5 (pow x 2))) (/ 0.375 (pow x 5))) (fma (/ 0.5 (pow x 3)) 1 (- (/ (- 0.375) (pow x 5)) (/ 1.0 x))) (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 (/ 1 x) (- 1.0 (/ 0.5 (pow x 2))) (/ 0.375 (pow x 5))) (fma (/ 0.5 (pow x 3)) 1 (- (/ (- 0.375) (pow x 5)) (/ 1.0 x))) 3.118 * * * [progress]: adding candidates to table 3.480 * * [progress]: iteration 4 / 4 3.480 * * * [progress]: picking best candidate 3.499 * * * * [pick]: Picked # 3.499 * * * [progress]: localizing error 3.524 * * * [progress]: generating rewritten candidates 3.524 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 3.524 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.526 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 3.528 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 2) 3.532 * * * [progress]: generating series expansions 3.532 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 3.533 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.533 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.533 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.533 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.533 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.533 * [taylor]: Taking taylor expansion of 0.5 in x 3.533 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.533 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.534 * [taylor]: Taking taylor expansion of 1.0 in x 3.534 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.534 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.534 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.534 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.534 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.534 * [taylor]: Taking taylor expansion of 1.0 in x 3.534 * [taylor]: Taking taylor expansion of 1.0 in x 3.534 * [taylor]: Taking taylor expansion of (* x x) in x 3.534 * [taylor]: Taking taylor expansion of x in x 3.534 * [taylor]: Taking taylor expansion of x in x 3.537 * [taylor]: Taking taylor expansion of 1.0 in x 3.537 * [taylor]: Taking taylor expansion of 1.0 in x 3.537 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.537 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.537 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.537 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.537 * [taylor]: Taking taylor expansion of 0.5 in x 3.537 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.537 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.537 * [taylor]: Taking taylor expansion of 1.0 in x 3.537 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.537 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.537 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.538 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of (* x x) in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.540 * [taylor]: Taking taylor expansion of 1.0 in x 3.541 * [taylor]: Taking taylor expansion of 1.0 in x 3.633 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.633 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.633 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.633 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.633 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.633 * [taylor]: Taking taylor expansion of 0.5 in x 3.633 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.633 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.633 * [taylor]: Taking taylor expansion of 1.0 in x 3.633 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.633 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.633 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.633 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.633 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.633 * [taylor]: Taking taylor expansion of 1.0 in x 3.633 * [taylor]: Taking taylor expansion of 1.0 in x 3.633 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.633 * [taylor]: Taking taylor expansion of x in x 3.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.634 * [taylor]: Taking taylor expansion of x in x 3.637 * [taylor]: Taking taylor expansion of 1.0 in x 3.637 * [taylor]: Taking taylor expansion of 1.0 in x 3.637 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.637 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.637 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.637 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.637 * [taylor]: Taking taylor expansion of 0.5 in x 3.637 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.637 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.637 * [taylor]: Taking taylor expansion of 1.0 in x 3.637 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.637 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.637 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.637 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.637 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.637 * [taylor]: Taking taylor expansion of 1.0 in x 3.637 * [taylor]: Taking taylor expansion of 1.0 in x 3.637 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.637 * [taylor]: Taking taylor expansion of x in x 3.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.637 * [taylor]: Taking taylor expansion of x in x 3.640 * [taylor]: Taking taylor expansion of 1.0 in x 3.640 * [taylor]: Taking taylor expansion of 1.0 in x 3.658 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.658 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.659 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.659 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.659 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.659 * [taylor]: Taking taylor expansion of 0.5 in x 3.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.659 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.659 * [taylor]: Taking taylor expansion of 1.0 in x 3.659 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.659 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.659 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.659 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.659 * [taylor]: Taking taylor expansion of 1.0 in x 3.659 * [taylor]: Taking taylor expansion of 1.0 in x 3.659 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.659 * [taylor]: Taking taylor expansion of -1 in x 3.659 * [taylor]: Taking taylor expansion of x in x 3.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.659 * [taylor]: Taking taylor expansion of -1 in x 3.659 * [taylor]: Taking taylor expansion of x in x 3.662 * [taylor]: Taking taylor expansion of 1.0 in x 3.662 * [taylor]: Taking taylor expansion of 1.0 in x 3.662 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.663 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.663 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.663 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.663 * [taylor]: Taking taylor expansion of 0.5 in x 3.663 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.663 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.663 * [taylor]: Taking taylor expansion of 1.0 in x 3.663 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.663 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.663 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.663 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.663 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.663 * [taylor]: Taking taylor expansion of 1.0 in x 3.663 * [taylor]: Taking taylor expansion of 1.0 in x 3.663 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.663 * [taylor]: Taking taylor expansion of -1 in x 3.663 * [taylor]: Taking taylor expansion of x in x 3.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.663 * [taylor]: Taking taylor expansion of -1 in x 3.663 * [taylor]: Taking taylor expansion of x in x 3.666 * [taylor]: Taking taylor expansion of 1.0 in x 3.666 * [taylor]: Taking taylor expansion of 1.0 in x 3.690 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.691 * [approximate]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0))) in (x) around 0 3.691 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0))) in x 3.691 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (log E))) in x 3.691 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (log E)) in x 3.691 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 3.691 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.691 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.691 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.691 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.691 * [taylor]: Taking taylor expansion of 0.5 in x 3.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.691 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.691 * [taylor]: Taking taylor expansion of 1.0 in x 3.691 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.691 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.691 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.691 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.691 * [taylor]: Taking taylor expansion of 1.0 in x 3.691 * [taylor]: Taking taylor expansion of 1.0 in x 3.691 * [taylor]: Taking taylor expansion of (* x x) in x 3.691 * [taylor]: Taking taylor expansion of x in x 3.691 * [taylor]: Taking taylor expansion of x in x 3.694 * [taylor]: Taking taylor expansion of 1.0 in x 3.694 * [taylor]: Taking taylor expansion of 1.0 in x 3.703 * [taylor]: Taking taylor expansion of (log E) in x 3.703 * [taylor]: Taking taylor expansion of E in x 3.708 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0))) in x 3.708 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (log E))) in x 3.708 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) (log E)) in x 3.708 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0)) in x 3.708 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.708 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.708 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.708 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.708 * [taylor]: Taking taylor expansion of 0.5 in x 3.708 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.708 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.708 * [taylor]: Taking taylor expansion of 1.0 in x 3.708 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.708 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.708 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.708 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.708 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.708 * [taylor]: Taking taylor expansion of 1.0 in x 3.708 * [taylor]: Taking taylor expansion of 1.0 in x 3.709 * [taylor]: Taking taylor expansion of (* x x) in x 3.709 * [taylor]: Taking taylor expansion of x in x 3.709 * [taylor]: Taking taylor expansion of x in x 3.711 * [taylor]: Taking taylor expansion of 1.0 in x 3.711 * [taylor]: Taking taylor expansion of 1.0 in x 3.720 * [taylor]: Taking taylor expansion of (log E) in x 3.721 * [taylor]: Taking taylor expansion of E in x 4.005 * [approximate]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0))) in (x) around 0 4.006 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0))) in x 4.006 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (log E))) in x 4.006 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (log E)) in x 4.006 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 4.006 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.006 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.006 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.006 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.006 * [taylor]: Taking taylor expansion of 0.5 in x 4.006 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.006 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.006 * [taylor]: Taking taylor expansion of 1.0 in x 4.006 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.006 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.007 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.007 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.007 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.007 * [taylor]: Taking taylor expansion of 1.0 in x 4.007 * [taylor]: Taking taylor expansion of 1.0 in x 4.007 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.007 * [taylor]: Taking taylor expansion of x in x 4.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.007 * [taylor]: Taking taylor expansion of x in x 4.010 * [taylor]: Taking taylor expansion of 1.0 in x 4.010 * [taylor]: Taking taylor expansion of 1.0 in x 4.012 * [taylor]: Taking taylor expansion of (log E) in x 4.012 * [taylor]: Taking taylor expansion of E in x 4.013 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0))) in x 4.013 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (log E))) in x 4.014 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) (log E)) in x 4.014 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0)) in x 4.014 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.014 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.014 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.014 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.014 * [taylor]: Taking taylor expansion of 0.5 in x 4.014 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.014 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.014 * [taylor]: Taking taylor expansion of 1.0 in x 4.014 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.014 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.014 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.014 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.014 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.014 * [taylor]: Taking taylor expansion of 1.0 in x 4.014 * [taylor]: Taking taylor expansion of 1.0 in x 4.014 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.014 * [taylor]: Taking taylor expansion of x in x 4.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.014 * [taylor]: Taking taylor expansion of x in x 4.017 * [taylor]: Taking taylor expansion of 1.0 in x 4.017 * [taylor]: Taking taylor expansion of 1.0 in x 4.019 * [taylor]: Taking taylor expansion of (log E) in x 4.019 * [taylor]: Taking taylor expansion of E in x 4.061 * [approximate]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0))) in (x) around 0 4.061 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0))) in x 4.061 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (log E))) in x 4.061 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (log E)) in x 4.061 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 4.061 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.061 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.061 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.061 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.061 * [taylor]: Taking taylor expansion of 0.5 in x 4.061 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.061 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.061 * [taylor]: Taking taylor expansion of 1.0 in x 4.061 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.061 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.061 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.061 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.061 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.061 * [taylor]: Taking taylor expansion of 1.0 in x 4.061 * [taylor]: Taking taylor expansion of 1.0 in x 4.061 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.061 * [taylor]: Taking taylor expansion of -1 in x 4.061 * [taylor]: Taking taylor expansion of x in x 4.062 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.062 * [taylor]: Taking taylor expansion of -1 in x 4.062 * [taylor]: Taking taylor expansion of x in x 4.065 * [taylor]: Taking taylor expansion of 1.0 in x 4.065 * [taylor]: Taking taylor expansion of 1.0 in x 4.066 * [taylor]: Taking taylor expansion of (log E) in x 4.066 * [taylor]: Taking taylor expansion of E in x 4.067 * [taylor]: Taking taylor expansion of (pow E (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0))) in x 4.067 * [taylor]: Taking taylor expansion of (exp (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (log E))) in x 4.067 * [taylor]: Taking taylor expansion of (* (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) (log E)) in x 4.067 * [taylor]: Taking taylor expansion of (log (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0)) in x 4.068 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.068 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.068 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.068 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.068 * [taylor]: Taking taylor expansion of 0.5 in x 4.068 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.068 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.068 * [taylor]: Taking taylor expansion of 1.0 in x 4.068 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.068 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.068 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.068 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.068 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.068 * [taylor]: Taking taylor expansion of 1.0 in x 4.068 * [taylor]: Taking taylor expansion of 1.0 in x 4.068 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.068 * [taylor]: Taking taylor expansion of -1 in x 4.068 * [taylor]: Taking taylor expansion of x in x 4.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.068 * [taylor]: Taking taylor expansion of -1 in x 4.068 * [taylor]: Taking taylor expansion of x in x 4.072 * [taylor]: Taking taylor expansion of 1.0 in x 4.072 * [taylor]: Taking taylor expansion of 1.0 in x 4.073 * [taylor]: Taking taylor expansion of (log E) in x 4.073 * [taylor]: Taking taylor expansion of E in x 4.122 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 4.122 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 4.122 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.122 * [taylor]: Taking taylor expansion of 1.0 in x 4.122 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.122 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.122 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.122 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.122 * [taylor]: Taking taylor expansion of 1.0 in x 4.122 * [taylor]: Taking taylor expansion of 1.0 in x 4.122 * [taylor]: Taking taylor expansion of (* x x) in x 4.122 * [taylor]: Taking taylor expansion of x in x 4.122 * [taylor]: Taking taylor expansion of x in x 4.125 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.125 * [taylor]: Taking taylor expansion of 1.0 in x 4.125 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.125 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.125 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.125 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.125 * [taylor]: Taking taylor expansion of 1.0 in x 4.125 * [taylor]: Taking taylor expansion of 1.0 in x 4.125 * [taylor]: Taking taylor expansion of (* x x) in x 4.126 * [taylor]: Taking taylor expansion of x in x 4.126 * [taylor]: Taking taylor expansion of x in x 4.165 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 4.165 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.165 * [taylor]: Taking taylor expansion of 1.0 in x 4.166 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.166 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.166 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.166 * [taylor]: Taking taylor expansion of 1.0 in x 4.166 * [taylor]: Taking taylor expansion of 1.0 in x 4.166 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.166 * [taylor]: Taking taylor expansion of x in x 4.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.166 * [taylor]: Taking taylor expansion of x in x 4.169 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.169 * [taylor]: Taking taylor expansion of 1.0 in x 4.169 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.169 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.169 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.169 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.169 * [taylor]: Taking taylor expansion of 1.0 in x 4.169 * [taylor]: Taking taylor expansion of 1.0 in x 4.169 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.169 * [taylor]: Taking taylor expansion of x in x 4.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.170 * [taylor]: Taking taylor expansion of x in x 4.198 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 4.198 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.198 * [taylor]: Taking taylor expansion of 1.0 in x 4.198 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.199 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.199 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.199 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.199 * [taylor]: Taking taylor expansion of 1.0 in x 4.199 * [taylor]: Taking taylor expansion of 1.0 in x 4.199 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.199 * [taylor]: Taking taylor expansion of -1 in x 4.199 * [taylor]: Taking taylor expansion of x in x 4.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.199 * [taylor]: Taking taylor expansion of -1 in x 4.199 * [taylor]: Taking taylor expansion of x in x 4.202 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.202 * [taylor]: Taking taylor expansion of 1.0 in x 4.202 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.202 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.202 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.202 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.202 * [taylor]: Taking taylor expansion of 1.0 in x 4.202 * [taylor]: Taking taylor expansion of 1.0 in x 4.202 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.202 * [taylor]: Taking taylor expansion of -1 in x 4.202 * [taylor]: Taking taylor expansion of x in x 4.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.203 * [taylor]: Taking taylor expansion of -1 in x 4.203 * [taylor]: Taking taylor expansion of x in x 4.225 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 2) 4.225 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 4.225 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.225 * [taylor]: Taking taylor expansion of 1.0 in x 4.225 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.225 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.226 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.226 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.226 * [taylor]: Taking taylor expansion of 1.0 in x 4.226 * [taylor]: Taking taylor expansion of 1.0 in x 4.226 * [taylor]: Taking taylor expansion of (* x x) in x 4.226 * [taylor]: Taking taylor expansion of x in x 4.226 * [taylor]: Taking taylor expansion of x in x 4.229 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.229 * [taylor]: Taking taylor expansion of 1.0 in x 4.229 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.229 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.229 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.229 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.229 * [taylor]: Taking taylor expansion of 1.0 in x 4.229 * [taylor]: Taking taylor expansion of 1.0 in x 4.229 * [taylor]: Taking taylor expansion of (* x x) in x 4.229 * [taylor]: Taking taylor expansion of x in x 4.229 * [taylor]: Taking taylor expansion of x in x 4.276 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 4.276 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.276 * [taylor]: Taking taylor expansion of 1.0 in x 4.276 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.276 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.276 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.276 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.276 * [taylor]: Taking taylor expansion of 1.0 in x 4.276 * [taylor]: Taking taylor expansion of 1.0 in x 4.276 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.276 * [taylor]: Taking taylor expansion of x in x 4.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.277 * [taylor]: Taking taylor expansion of x in x 4.280 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.280 * [taylor]: Taking taylor expansion of 1.0 in x 4.280 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.280 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.280 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.280 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.280 * [taylor]: Taking taylor expansion of 1.0 in x 4.280 * [taylor]: Taking taylor expansion of 1.0 in x 4.280 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.280 * [taylor]: Taking taylor expansion of x in x 4.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.280 * [taylor]: Taking taylor expansion of x in x 4.303 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 4.303 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.303 * [taylor]: Taking taylor expansion of 1.0 in x 4.303 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.303 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.303 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.303 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.303 * [taylor]: Taking taylor expansion of 1.0 in x 4.303 * [taylor]: Taking taylor expansion of 1.0 in x 4.303 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.303 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.303 * [taylor]: Taking taylor expansion of -1 in x 4.303 * [taylor]: Taking taylor expansion of x in x 4.303 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.303 * [taylor]: Taking taylor expansion of -1 in x 4.304 * [taylor]: Taking taylor expansion of x in x 4.307 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.307 * [taylor]: Taking taylor expansion of 1.0 in x 4.307 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.307 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.307 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.307 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.307 * [taylor]: Taking taylor expansion of 1.0 in x 4.307 * [taylor]: Taking taylor expansion of 1.0 in x 4.307 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.307 * [taylor]: Taking taylor expansion of -1 in x 4.307 * [taylor]: Taking taylor expansion of x in x 4.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.307 * [taylor]: Taking taylor expansion of -1 in x 4.307 * [taylor]: Taking taylor expansion of x in x 4.330 * * * [progress]: simplifying candidates 4.331 * [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 (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (log E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (log E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow E 1) (pow E (* (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (pow E (sqrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E 1) (pow E (log (* (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)))))) (pow E (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log 1)) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (* (cbrt E) (cbrt E)) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (cbrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (/ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2)) (pow E (/ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2)) (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)))) (- (+ (* 0.25 (/ (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 2)))) (+ (* 0.5 (/ 1 x)) (* 0.0625 (/ 1 (* (pow x 2) (pow 0.5 2)))))) (- (+ 0.5 (+ (* 0.25 (/ 1 (pow x 2))) (* 0.5 (/ 1 x)))) (* 0.0625 (/ 1 (* (pow x 2) (pow 0.5 2))))) (- (+ (* 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)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 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)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 4.338 * * [simplify]: iteration 0 : 359 enodes (cost 776 ) 4.344 * * [simplify]: iteration 1 : 1368 enodes (cost 725 ) 4.367 * * [simplify]: iteration 2 : 5002 enodes (cost 716 ) 4.371 * [simplify]: Simplified to: (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))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (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 (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) E (pow E (* (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (pow E (sqrt (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) E (pow E (log (* (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)))))) (pow E (log (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (log (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 1 (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (* (cbrt E) (cbrt E)) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (cbrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (pow (sqrt E) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1 (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 3) (sqrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (pow E (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (pow E (/ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2)) (pow E (/ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 2)) (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 (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) (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 0.25 (/ (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 (* (/ 1 (pow x 2)) (- 0.25 (/ 0.0625 (pow 0.5 2))))) (/ 0.5 x)) (+ (+ 0.5 (/ 0.5 x)) (* (/ 1 (pow x 2)) (- 0.25 (/ 0.0625 (pow 0.5 2))))) (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)))))) 4.378 * * * [progress]: adding candidates to table 4.951 * [progress]: [Phase 3 of 3] Extracting. 4.951 * * [regime]: Finding splitpoints for: (# # # # # #) 4.954 * * * [regime-changes]: Trying 7 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) x) 4.954 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # # #) 4.991 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 5.014 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # # #) 5.053 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 5.077 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # # #) 5.113 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 5.134 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # # # #) 5.172 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # # # #) 5.210 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # # # #) 5.250 * * * * [regimes]: Trying to branch on x from (# # # # # #) 5.295 * * * [regime]: Found split indices: #