16.957 * [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. 0.030 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.032 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.033 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.035 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.036 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.037 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.039 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.040 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.040 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.053 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 2) 0.054 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.055 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.065 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.065 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.065 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in x 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.066 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.066 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.067 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.067 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.067 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of (* x x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.081 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.081 * [taylor]: Taking taylor expansion of 0.5 in x 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.082 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.082 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.082 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.082 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.082 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.082 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (* x x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [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 0.339 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.339 * [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 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.345 * [taylor]: Taking taylor expansion of 0.5 in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.346 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.351 * [taylor]: Taking taylor expansion of 0.5 in x 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.387 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.387 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.387 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.387 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.393 * [taylor]: Taking taylor expansion of 0.5 in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.394 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.394 * [taylor]: Taking taylor expansion of -1 in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.394 * [taylor]: Taking taylor expansion of -1 in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.399 * [taylor]: Taking taylor expansion of 0.5 in x 0.441 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 2) 0.441 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.441 * [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 0.444 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.444 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (* x x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.460 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.460 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.460 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.460 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.464 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.464 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.464 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.478 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.478 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.478 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.478 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.478 * [taylor]: Taking taylor expansion of -1 in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.479 * [taylor]: Taking taylor expansion of -1 in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.482 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.482 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.482 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.482 * [taylor]: Taking taylor expansion of -1 in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.482 * [taylor]: Taking taylor expansion of -1 in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.503 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.503 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.503 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.503 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.503 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.503 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (* x x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.506 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.506 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.506 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (* x x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.545 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.549 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.549 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.573 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.573 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.573 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.573 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.573 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.573 * [taylor]: Taking taylor expansion of -1 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.578 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.578 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.578 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.579 * [taylor]: Taking taylor expansion of -1 in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.579 * [taylor]: Taking taylor expansion of -1 in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.609 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.609 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.609 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.609 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.609 * [taylor]: Taking taylor expansion of 0.5 in x 0.610 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.610 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.610 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.610 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.610 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.610 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.610 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (* x x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.619 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.619 * [taylor]: Taking taylor expansion of 0.5 in x 0.620 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.620 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.620 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.620 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.620 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.620 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.620 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (* x x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.804 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.804 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.804 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.804 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.804 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.804 * [taylor]: Taking taylor expansion of 1.0 in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.804 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.804 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.805 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.805 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.805 * [taylor]: Taking taylor expansion of 1.0 in x 0.805 * [taylor]: Taking taylor expansion of 1.0 in x 0.805 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.810 * [taylor]: Taking taylor expansion of 0.5 in x 0.810 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.810 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.811 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.811 * [taylor]: Taking taylor expansion of 1.0 in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.811 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.811 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.811 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.811 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.811 * [taylor]: Taking taylor expansion of 1.0 in x 0.811 * [taylor]: Taking taylor expansion of 1.0 in x 0.811 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.816 * [taylor]: Taking taylor expansion of 0.5 in x 0.845 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.845 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.845 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.845 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.845 * [taylor]: Taking taylor expansion of 1.0 in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.845 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.845 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.845 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.845 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.845 * [taylor]: Taking taylor expansion of 1.0 in x 0.845 * [taylor]: Taking taylor expansion of 1.0 in x 0.845 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.845 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.845 * [taylor]: Taking taylor expansion of -1 in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.845 * [taylor]: Taking taylor expansion of -1 in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.850 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.850 * [taylor]: Taking taylor expansion of 0.5 in x 0.851 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.851 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.851 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.851 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.851 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.851 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.851 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.851 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.851 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.851 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.851 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.851 * [taylor]: Taking taylor expansion of -1 in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.852 * [taylor]: Taking taylor expansion of -1 in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.857 * [taylor]: Taking taylor expansion of 0.5 in x 0.879 * * * [progress]: simplifying candidates 0.881 * [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 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (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 (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))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (* 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)))))) (+ (* 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)))))) 0.888 * * [simplify]: iteration 0 : 533 enodes (cost 1074 ) 0.897 * * [simplify]: iteration 1 : 2023 enodes (cost 830 ) 0.932 * * [simplify]: iteration 2 : 5002 enodes (cost 827 ) 0.937 * [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 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma 1.0 1.0 (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (pow (hypot 1.0 x) 3) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (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 (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 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 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 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)) (- (* 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))))))) 0.937 * * * [progress]: adding candidates to table 1.190 * * [progress]: iteration 2 / 4 1.190 * * * [progress]: picking best candidate 1.206 * * * * [pick]: Picked # 1.206 * * * [progress]: localizing error 1.218 * * * [progress]: generating rewritten candidates 1.218 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.219 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.225 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.227 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.232 * * * [progress]: generating series expansions 1.232 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.233 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.233 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.233 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.233 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.233 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.233 * [taylor]: Taking taylor expansion of 0.5 in x 1.233 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.233 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.233 * [taylor]: Taking taylor expansion of 1.0 in x 1.233 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.233 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.233 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.233 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.233 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.233 * [taylor]: Taking taylor expansion of 1.0 in x 1.233 * [taylor]: Taking taylor expansion of 1.0 in x 1.233 * [taylor]: Taking taylor expansion of (* x x) in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of 1.0 in x 1.237 * [taylor]: Taking taylor expansion of 1.0 in x 1.237 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.238 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.238 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.238 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.238 * [taylor]: Taking taylor expansion of 0.5 in x 1.238 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.238 * [taylor]: Taking taylor expansion of 1.0 in x 1.238 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.238 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.238 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.238 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.238 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.238 * [taylor]: Taking taylor expansion of 1.0 in x 1.238 * [taylor]: Taking taylor expansion of 1.0 in x 1.238 * [taylor]: Taking taylor expansion of (* x x) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.341 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.341 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.341 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.341 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.341 * [taylor]: Taking taylor expansion of 0.5 in x 1.341 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.341 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.341 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.341 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.341 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.341 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.341 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.341 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.345 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.345 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.345 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.345 * [taylor]: Taking taylor expansion of 0.5 in x 1.345 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.345 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.345 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.345 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.345 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.345 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of 1.0 in x 1.348 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.366 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.366 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.366 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.366 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.366 * [taylor]: Taking taylor expansion of 0.5 in x 1.366 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.366 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.366 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.366 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.366 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.366 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.367 * [taylor]: Taking taylor expansion of -1 in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.367 * [taylor]: Taking taylor expansion of -1 in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.370 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.370 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.370 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.370 * [taylor]: Taking taylor expansion of 0.5 in x 1.370 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.370 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.370 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.370 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.370 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.370 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.370 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.370 * [taylor]: Taking taylor expansion of -1 in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.371 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.371 * [taylor]: Taking taylor expansion of -1 in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.392 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 1.392 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.392 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.392 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.392 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.392 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.392 * [taylor]: Taking taylor expansion of 0.5 in x 1.392 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.393 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 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 x)) in x 1.393 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.393 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x 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 (* x x) in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.396 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.396 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.396 * [taylor]: Taking taylor expansion of 0.5 in x 1.397 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.397 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.397 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.397 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.397 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.397 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.397 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of (* x x) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.430 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.430 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.431 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.431 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.431 * [taylor]: Taking taylor expansion of 0.5 in x 1.431 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.431 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.431 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.431 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.431 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.431 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of (* x x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.434 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.434 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.434 * [taylor]: Taking taylor expansion of 0.5 in x 1.434 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.435 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.435 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.435 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.435 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [taylor]: Taking taylor expansion of (* x x) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of 1.0 in x 1.443 * [taylor]: Taking taylor expansion of 1.0 in x 2.282 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.282 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.282 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.283 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.283 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.283 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.283 * [taylor]: Taking taylor expansion of 0.5 in x 2.283 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.283 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.283 * [taylor]: Taking taylor expansion of 1.0 in x 2.283 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.283 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.283 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.283 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.283 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.283 * [taylor]: Taking taylor expansion of 1.0 in x 2.283 * [taylor]: Taking taylor expansion of 1.0 in x 2.283 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.283 * [taylor]: Taking taylor expansion of x in x 2.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.283 * [taylor]: Taking taylor expansion of x in x 2.286 * [taylor]: Taking taylor expansion of 1.0 in x 2.287 * [taylor]: Taking taylor expansion of 1.0 in x 2.287 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.287 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.287 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.287 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.287 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.287 * [taylor]: Taking taylor expansion of 1.0 in x 2.287 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.287 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.287 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.287 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.287 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.287 * [taylor]: Taking taylor expansion of 1.0 in x 2.287 * [taylor]: Taking taylor expansion of 1.0 in x 2.287 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.287 * [taylor]: Taking taylor expansion of x in x 2.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.287 * [taylor]: Taking taylor expansion of x in x 2.290 * [taylor]: Taking taylor expansion of 1.0 in x 2.292 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.292 * [taylor]: Taking taylor expansion of 0.5 in x 2.293 * [taylor]: Taking taylor expansion of 1.0 in x 2.298 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.298 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.298 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.298 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.298 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.298 * [taylor]: Taking taylor expansion of 0.5 in x 2.298 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.298 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.299 * [taylor]: Taking taylor expansion of 1.0 in x 2.299 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.299 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.299 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.299 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.299 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.299 * [taylor]: Taking taylor expansion of 1.0 in x 2.299 * [taylor]: Taking taylor expansion of 1.0 in x 2.299 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.299 * [taylor]: Taking taylor expansion of x in x 2.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.299 * [taylor]: Taking taylor expansion of x in x 2.302 * [taylor]: Taking taylor expansion of 1.0 in x 2.302 * [taylor]: Taking taylor expansion of 1.0 in x 2.302 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.302 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.302 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.302 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.302 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.302 * [taylor]: Taking taylor expansion of 1.0 in x 2.302 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.302 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.302 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.302 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.302 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.302 * [taylor]: Taking taylor expansion of 1.0 in x 2.302 * [taylor]: Taking taylor expansion of 1.0 in x 2.302 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.302 * [taylor]: Taking taylor expansion of x in x 2.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.303 * [taylor]: Taking taylor expansion of x in x 2.306 * [taylor]: Taking taylor expansion of 1.0 in x 2.308 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.308 * [taylor]: Taking taylor expansion of 0.5 in x 2.308 * [taylor]: Taking taylor expansion of 1.0 in x 2.453 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 2.453 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.453 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.454 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.454 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.454 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.454 * [taylor]: Taking taylor expansion of 0.5 in x 2.454 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.454 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.454 * [taylor]: Taking taylor expansion of 1.0 in x 2.454 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.454 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.454 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.454 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.454 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.454 * [taylor]: Taking taylor expansion of 1.0 in x 2.454 * [taylor]: Taking taylor expansion of 1.0 in x 2.454 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.454 * [taylor]: Taking taylor expansion of -1 in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.454 * [taylor]: Taking taylor expansion of -1 in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.457 * [taylor]: Taking taylor expansion of 1.0 in x 2.457 * [taylor]: Taking taylor expansion of 1.0 in x 2.457 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.457 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.457 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.457 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.457 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.458 * [taylor]: Taking taylor expansion of 1.0 in x 2.458 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.458 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.458 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.458 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.458 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.458 * [taylor]: Taking taylor expansion of 1.0 in x 2.458 * [taylor]: Taking taylor expansion of 1.0 in x 2.458 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.458 * [taylor]: Taking taylor expansion of -1 in x 2.458 * [taylor]: Taking taylor expansion of x in x 2.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.458 * [taylor]: Taking taylor expansion of -1 in x 2.458 * [taylor]: Taking taylor expansion of x in x 2.461 * [taylor]: Taking taylor expansion of 1.0 in x 2.463 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.463 * [taylor]: Taking taylor expansion of 0.5 in x 2.464 * [taylor]: Taking taylor expansion of 1.0 in x 2.469 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.469 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.469 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.469 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.469 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.469 * [taylor]: Taking taylor expansion of 0.5 in x 2.469 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.469 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.469 * [taylor]: Taking taylor expansion of 1.0 in x 2.469 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.469 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.469 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.469 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.469 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.469 * [taylor]: Taking taylor expansion of 1.0 in x 2.469 * [taylor]: Taking taylor expansion of 1.0 in x 2.469 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.469 * [taylor]: Taking taylor expansion of -1 in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.470 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.470 * [taylor]: Taking taylor expansion of -1 in x 2.470 * [taylor]: Taking taylor expansion of x in x 2.473 * [taylor]: Taking taylor expansion of 1.0 in x 2.473 * [taylor]: Taking taylor expansion of 1.0 in x 2.473 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.473 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.473 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.473 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.473 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.473 * [taylor]: Taking taylor expansion of 1.0 in x 2.473 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.473 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.473 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.473 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.473 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.473 * [taylor]: Taking taylor expansion of 1.0 in x 2.473 * [taylor]: Taking taylor expansion of 1.0 in x 2.473 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.473 * [taylor]: Taking taylor expansion of -1 in x 2.473 * [taylor]: Taking taylor expansion of x in x 2.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.474 * [taylor]: Taking taylor expansion of -1 in x 2.474 * [taylor]: Taking taylor expansion of x in x 2.477 * [taylor]: Taking taylor expansion of 1.0 in x 2.478 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.479 * [taylor]: Taking taylor expansion of 0.5 in x 2.479 * [taylor]: Taking taylor expansion of 1.0 in x 2.625 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.625 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.625 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.625 * [taylor]: Taking taylor expansion of 1.0 in x 2.625 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.626 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.626 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.626 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.626 * [taylor]: Taking taylor expansion of 1.0 in x 2.626 * [taylor]: Taking taylor expansion of 1.0 in x 2.626 * [taylor]: Taking taylor expansion of (* x x) in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.629 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.629 * [taylor]: Taking taylor expansion of 1.0 in x 2.629 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.629 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.629 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.629 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.630 * [taylor]: Taking taylor expansion of 1.0 in x 2.630 * [taylor]: Taking taylor expansion of 1.0 in x 2.630 * [taylor]: Taking taylor expansion of (* x x) in x 2.630 * [taylor]: Taking taylor expansion of x in x 2.630 * [taylor]: Taking taylor expansion of x in x 2.679 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.679 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.679 * [taylor]: Taking taylor expansion of 1.0 in x 2.679 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.679 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.679 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.679 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.679 * [taylor]: Taking taylor expansion of 1.0 in x 2.679 * [taylor]: Taking taylor expansion of 1.0 in x 2.679 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.682 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.682 * [taylor]: Taking taylor expansion of 1.0 in x 2.682 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.682 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.683 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.683 * [taylor]: Taking taylor expansion of 1.0 in x 2.683 * [taylor]: Taking taylor expansion of 1.0 in x 2.683 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.683 * [taylor]: Taking taylor expansion of x in x 2.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.683 * [taylor]: Taking taylor expansion of x in x 2.706 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.706 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.706 * [taylor]: Taking taylor expansion of 1.0 in x 2.706 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.706 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.706 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.706 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.706 * [taylor]: Taking taylor expansion of 1.0 in x 2.706 * [taylor]: Taking taylor expansion of 1.0 in x 2.706 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.706 * [taylor]: Taking taylor expansion of -1 in x 2.706 * [taylor]: Taking taylor expansion of x in x 2.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.706 * [taylor]: Taking taylor expansion of -1 in x 2.706 * [taylor]: Taking taylor expansion of x in x 2.710 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.710 * [taylor]: Taking taylor expansion of 1.0 in x 2.710 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.710 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.710 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.710 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.710 * [taylor]: Taking taylor expansion of 1.0 in x 2.710 * [taylor]: Taking taylor expansion of 1.0 in x 2.710 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.710 * [taylor]: Taking taylor expansion of -1 in x 2.710 * [taylor]: Taking taylor expansion of x in x 2.711 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.711 * [taylor]: Taking taylor expansion of -1 in x 2.711 * [taylor]: Taking taylor expansion of x in x 2.733 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.733 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.733 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.733 * [taylor]: Taking taylor expansion of 1.0 in x 2.733 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.733 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.733 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.733 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.734 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of (* x x) in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.736 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.736 * [taylor]: Taking taylor expansion of 1.0 in x 2.736 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.737 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.737 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.737 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.737 * [taylor]: Taking taylor expansion of 1.0 in x 2.737 * [taylor]: Taking taylor expansion of 1.0 in x 2.737 * [taylor]: Taking taylor expansion of (* x x) in x 2.737 * [taylor]: Taking taylor expansion of x in x 2.737 * [taylor]: Taking taylor expansion of x in x 2.786 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.786 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.786 * [taylor]: Taking taylor expansion of 1.0 in x 2.786 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.786 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.786 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.786 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.786 * [taylor]: Taking taylor expansion of 1.0 in x 2.786 * [taylor]: Taking taylor expansion of 1.0 in x 2.786 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.786 * [taylor]: Taking taylor expansion of x in x 2.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.787 * [taylor]: Taking taylor expansion of x in x 2.790 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.790 * [taylor]: Taking taylor expansion of 1.0 in x 2.790 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.790 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.790 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.790 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.790 * [taylor]: Taking taylor expansion of 1.0 in x 2.790 * [taylor]: Taking taylor expansion of 1.0 in x 2.790 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.790 * [taylor]: Taking taylor expansion of x in x 2.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.791 * [taylor]: Taking taylor expansion of x in x 2.813 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.813 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.813 * [taylor]: Taking taylor expansion of 1.0 in x 2.813 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.813 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.813 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.813 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.813 * [taylor]: Taking taylor expansion of 1.0 in x 2.813 * [taylor]: Taking taylor expansion of 1.0 in x 2.813 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.814 * [taylor]: Taking taylor expansion of -1 in x 2.814 * [taylor]: Taking taylor expansion of x in x 2.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.814 * [taylor]: Taking taylor expansion of -1 in x 2.814 * [taylor]: Taking taylor expansion of x in x 2.817 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.817 * [taylor]: Taking taylor expansion of 1.0 in x 2.817 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.817 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.817 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.817 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.817 * [taylor]: Taking taylor expansion of 1.0 in x 2.817 * [taylor]: Taking taylor expansion of 1.0 in x 2.817 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.817 * [taylor]: Taking taylor expansion of -1 in x 2.817 * [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 2.818 * [taylor]: Taking taylor expansion of x in x 2.848 * * * [progress]: simplifying candidates 2.850 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) 1) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) 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1.0) (sqrt 0.5)) 1.0) 3))))) (+ (* 0.5 (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (+ (* 0.5 (/ 1 (* x (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))) (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 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))))) 2.861 * * [simplify]: iteration 0 : 764 enodes (cost 1571 ) 2.875 * * [simplify]: iteration 1 : 3539 enodes (cost 1461 ) 2.932 * * [simplify]: iteration 2 : 5001 enodes (cost 1448 ) 2.939 * [simplify]: Simplified to: (expm1 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1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (pow (/ (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))))))) 3) (* (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (pow (/ (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))))))) 3) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1.0 1.0 (* (- 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)))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (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 (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (+ (* 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0))) (fma 0.125 (/ (/ 0.5 (* x (* x 1.0))) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 2.940 * * * [progress]: adding candidates to table 3.351 * * [progress]: iteration 3 / 4 3.351 * * * [progress]: picking best candidate 3.398 * * * * [pick]: Picked # 3.398 * * * [progress]: localizing error 3.411 * * * [progress]: generating rewritten candidates 3.411 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.412 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.428 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 2 2) 3.430 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 3.439 * * * [progress]: generating series expansions 3.439 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.440 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.440 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.441 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.441 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.441 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.441 * [taylor]: Taking taylor expansion of 0.5 in x 3.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.441 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.441 * [taylor]: Taking taylor expansion of 1.0 in x 3.441 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.441 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.441 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.441 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.441 * [taylor]: Taking taylor expansion of 1.0 in x 3.441 * [taylor]: Taking taylor expansion of 1.0 in x 3.441 * [taylor]: Taking taylor expansion of (* x x) in x 3.441 * [taylor]: Taking taylor expansion of x in x 3.441 * [taylor]: Taking taylor expansion of x in x 3.444 * [taylor]: Taking taylor expansion of 1.0 in x 3.444 * [taylor]: Taking taylor expansion of 1.0 in x 3.444 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.444 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.444 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.444 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.444 * [taylor]: Taking taylor expansion of 0.5 in x 3.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.444 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.444 * [taylor]: Taking taylor expansion of 1.0 in x 3.444 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.445 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.445 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.445 * [taylor]: Taking taylor expansion of 1.0 in x 3.445 * [taylor]: Taking taylor expansion of 1.0 in x 3.445 * [taylor]: Taking taylor expansion of (* x x) in x 3.445 * [taylor]: Taking taylor expansion of x in x 3.445 * [taylor]: Taking taylor expansion of x in x 3.448 * [taylor]: Taking taylor expansion of 1.0 in x 3.448 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.538 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.538 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.538 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.538 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.538 * [taylor]: Taking taylor expansion of 0.5 in x 3.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.538 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.538 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 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 (* (/ 1 x) (/ 1 x)) in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.539 * [taylor]: Taking taylor expansion of x in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.542 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.542 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.542 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.542 * [taylor]: Taking taylor expansion of 0.5 in x 3.542 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.542 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.542 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.542 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.542 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.542 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.546 * [taylor]: Taking taylor expansion of 1.0 in x 3.546 * [taylor]: Taking taylor expansion of 1.0 in x 3.563 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.563 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.564 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.564 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.564 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.564 * [taylor]: Taking taylor expansion of 0.5 in x 3.564 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.564 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.564 * [taylor]: Taking taylor expansion of 1.0 in x 3.564 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.564 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.564 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.564 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.564 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.564 * [taylor]: Taking taylor expansion of 1.0 in x 3.564 * [taylor]: Taking taylor expansion of 1.0 in x 3.564 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.564 * [taylor]: Taking taylor expansion of -1 in x 3.564 * [taylor]: Taking taylor expansion of x in x 3.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.564 * [taylor]: Taking taylor expansion of -1 in x 3.564 * [taylor]: Taking taylor expansion of x in x 3.567 * [taylor]: Taking taylor expansion of 1.0 in x 3.567 * [taylor]: Taking taylor expansion of 1.0 in x 3.567 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.567 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.567 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.567 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.567 * [taylor]: Taking taylor expansion of 0.5 in x 3.567 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.568 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.568 * [taylor]: Taking taylor expansion of 1.0 in x 3.568 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.568 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.568 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.568 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.568 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.568 * [taylor]: Taking taylor expansion of 1.0 in x 3.568 * [taylor]: Taking taylor expansion of 1.0 in x 3.568 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.568 * [taylor]: Taking taylor expansion of -1 in x 3.568 * [taylor]: Taking taylor expansion of x in x 3.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.568 * [taylor]: Taking taylor expansion of -1 in x 3.568 * [taylor]: Taking taylor expansion of x in x 3.571 * [taylor]: Taking taylor expansion of 1.0 in x 3.571 * [taylor]: Taking taylor expansion of 1.0 in x 3.588 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.589 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 3.589 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.589 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.589 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.589 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.589 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.589 * [taylor]: Taking taylor expansion of 0.5 in x 3.589 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.589 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.589 * [taylor]: Taking taylor expansion of 1.0 in x 3.589 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.589 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.589 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.589 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.589 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.589 * [taylor]: Taking taylor expansion of 1.0 in x 3.590 * [taylor]: Taking taylor expansion of 1.0 in x 3.590 * [taylor]: Taking taylor expansion of (* x x) in x 3.590 * [taylor]: Taking taylor expansion of x in x 3.590 * [taylor]: Taking taylor expansion of x in x 3.592 * [taylor]: Taking taylor expansion of 1.0 in x 3.592 * [taylor]: Taking taylor expansion of 1.0 in x 3.592 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.593 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.593 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.593 * [taylor]: Taking taylor expansion of 0.5 in x 3.593 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.593 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.593 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.593 * [taylor]: Taking taylor expansion of 1.0 in x 3.593 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.593 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.593 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.593 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.594 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.594 * [taylor]: Taking taylor expansion of 1.0 in x 3.594 * [taylor]: Taking taylor expansion of 1.0 in x 3.594 * [taylor]: Taking taylor expansion of (* x x) in x 3.594 * [taylor]: Taking taylor expansion of x in x 3.594 * [taylor]: Taking taylor expansion of x in x 3.597 * [taylor]: Taking taylor expansion of 1.0 in x 3.805 * [taylor]: Taking taylor expansion of 1.0 in x 3.824 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.824 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.824 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.824 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.824 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.824 * [taylor]: Taking taylor expansion of 0.5 in x 3.824 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.825 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.825 * [taylor]: Taking taylor expansion of 1.0 in x 3.825 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.825 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.825 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.825 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.825 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.825 * [taylor]: Taking taylor expansion of 1.0 in x 3.825 * [taylor]: Taking taylor expansion of 1.0 in x 3.825 * [taylor]: Taking taylor expansion of (* x x) in x 3.825 * [taylor]: Taking taylor expansion of x in x 3.825 * [taylor]: Taking taylor expansion of x in x 3.827 * [taylor]: Taking taylor expansion of 1.0 in x 3.828 * [taylor]: Taking taylor expansion of 1.0 in x 3.828 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.828 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.828 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.828 * [taylor]: Taking taylor expansion of 0.5 in x 3.828 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.828 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.828 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.828 * [taylor]: Taking taylor expansion of 1.0 in x 3.828 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.828 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.828 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.829 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.829 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.829 * [taylor]: Taking taylor expansion of 1.0 in x 3.829 * [taylor]: Taking taylor expansion of 1.0 in x 3.829 * [taylor]: Taking taylor expansion of (* x x) in x 3.829 * [taylor]: Taking taylor expansion of x in x 3.829 * [taylor]: Taking taylor expansion of x in x 3.831 * [taylor]: Taking taylor expansion of 1.0 in x 3.837 * [taylor]: Taking taylor expansion of 1.0 in x 4.651 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.651 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.651 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.651 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.651 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.651 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.651 * [taylor]: Taking taylor expansion of 0.5 in x 4.651 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.651 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.651 * [taylor]: Taking taylor expansion of 1.0 in x 4.651 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.651 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.651 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.651 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.651 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.651 * [taylor]: Taking taylor expansion of 1.0 in x 4.651 * [taylor]: Taking taylor expansion of 1.0 in x 4.651 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.651 * [taylor]: Taking taylor expansion of x in x 4.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.652 * [taylor]: Taking taylor expansion of x in x 4.655 * [taylor]: Taking taylor expansion of 1.0 in x 4.655 * [taylor]: Taking taylor expansion of 1.0 in x 4.656 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.656 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.656 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.656 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.656 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.656 * [taylor]: Taking taylor expansion of 1.0 in x 4.656 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.656 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.656 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.656 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.656 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.656 * [taylor]: Taking taylor expansion of 1.0 in x 4.656 * [taylor]: Taking taylor expansion of 1.0 in x 4.656 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.656 * [taylor]: Taking taylor expansion of x in x 4.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.656 * [taylor]: Taking taylor expansion of x in x 4.659 * [taylor]: Taking taylor expansion of 1.0 in x 4.661 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.661 * [taylor]: Taking taylor expansion of 0.5 in x 4.662 * [taylor]: Taking taylor expansion of 1.0 in x 4.667 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.668 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.668 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.668 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.668 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.668 * [taylor]: Taking taylor expansion of 0.5 in x 4.668 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.668 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.668 * [taylor]: Taking taylor expansion of 1.0 in x 4.668 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.668 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.668 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.668 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.668 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.668 * [taylor]: Taking taylor expansion of 1.0 in x 4.668 * [taylor]: Taking taylor expansion of 1.0 in x 4.668 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.668 * [taylor]: Taking taylor expansion of x in x 4.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.669 * [taylor]: Taking taylor expansion of x in x 4.677 * [taylor]: Taking taylor expansion of 1.0 in x 4.678 * [taylor]: Taking taylor expansion of 1.0 in x 4.678 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.678 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.678 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.678 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.678 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.678 * [taylor]: Taking taylor expansion of 1.0 in x 4.678 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.678 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.678 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.678 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.678 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.678 * [taylor]: Taking taylor expansion of 1.0 in x 4.678 * [taylor]: Taking taylor expansion of 1.0 in x 4.678 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.678 * [taylor]: Taking taylor expansion of x in x 4.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.678 * [taylor]: Taking taylor expansion of x in x 4.681 * [taylor]: Taking taylor expansion of 1.0 in x 4.683 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.683 * [taylor]: Taking taylor expansion of 0.5 in x 4.684 * [taylor]: Taking taylor expansion of 1.0 in x 4.817 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 4.817 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.817 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.817 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.817 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.817 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.817 * [taylor]: Taking taylor expansion of 0.5 in x 4.817 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.817 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.817 * [taylor]: Taking taylor expansion of 1.0 in x 4.818 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.818 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.818 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.818 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.818 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.818 * [taylor]: Taking taylor expansion of 1.0 in x 4.818 * [taylor]: Taking taylor expansion of 1.0 in x 4.818 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.818 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.818 * [taylor]: Taking taylor expansion of -1 in x 4.818 * [taylor]: Taking taylor expansion of x in x 4.818 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.818 * [taylor]: Taking taylor expansion of -1 in x 4.818 * [taylor]: Taking taylor expansion of x in x 4.822 * [taylor]: Taking taylor expansion of 1.0 in x 4.822 * [taylor]: Taking taylor expansion of 1.0 in x 4.822 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.822 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.822 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.822 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.822 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.822 * [taylor]: Taking taylor expansion of 1.0 in x 4.822 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.822 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.822 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.822 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.822 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.822 * [taylor]: Taking taylor expansion of 1.0 in x 4.822 * [taylor]: Taking taylor expansion of 1.0 in x 4.822 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.822 * [taylor]: Taking taylor expansion of -1 in x 4.822 * [taylor]: Taking taylor expansion of x in x 4.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.822 * [taylor]: Taking taylor expansion of -1 in x 4.822 * [taylor]: Taking taylor expansion of x in x 4.825 * [taylor]: Taking taylor expansion of 1.0 in x 4.828 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.828 * [taylor]: Taking taylor expansion of 0.5 in x 4.828 * [taylor]: Taking taylor expansion of 1.0 in x 4.834 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.834 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.834 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.834 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.834 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.834 * [taylor]: Taking taylor expansion of 0.5 in x 4.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.834 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.834 * [taylor]: Taking taylor expansion of 1.0 in x 4.834 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.834 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.834 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.834 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.834 * [taylor]: Taking taylor expansion of 1.0 in x 4.834 * [taylor]: Taking taylor expansion of 1.0 in x 4.834 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.834 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.834 * [taylor]: Taking taylor expansion of -1 in x 4.834 * [taylor]: Taking taylor expansion of x in x 4.834 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.834 * [taylor]: Taking taylor expansion of -1 in x 4.834 * [taylor]: Taking taylor expansion of x in x 4.844 * [taylor]: Taking taylor expansion of 1.0 in x 4.845 * [taylor]: Taking taylor expansion of 1.0 in x 4.845 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.845 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.845 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.845 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.845 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.845 * [taylor]: Taking taylor expansion of 1.0 in x 4.845 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.845 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.845 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.845 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.845 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.845 * [taylor]: Taking taylor expansion of 1.0 in x 4.845 * [taylor]: Taking taylor expansion of 1.0 in x 4.845 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.845 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.845 * [taylor]: Taking taylor expansion of -1 in x 4.845 * [taylor]: Taking taylor expansion of x in x 4.845 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.845 * [taylor]: Taking taylor expansion of -1 in x 4.845 * [taylor]: Taking taylor expansion of x in x 4.849 * [taylor]: Taking taylor expansion of 1.0 in x 4.850 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.851 * [taylor]: Taking taylor expansion of 0.5 in x 4.851 * [taylor]: Taking taylor expansion of 1.0 in x 4.986 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 2 2) 4.986 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 4.986 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.986 * [taylor]: Taking taylor expansion of 1.0 in x 4.986 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.986 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.986 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.986 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.986 * [taylor]: Taking taylor expansion of 1.0 in x 4.986 * [taylor]: Taking taylor expansion of 1.0 in x 4.986 * [taylor]: Taking taylor expansion of (* x x) in x 4.986 * [taylor]: Taking taylor expansion of x in x 4.986 * [taylor]: Taking taylor expansion of x in x 4.989 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.989 * [taylor]: Taking taylor expansion of 1.0 in x 4.989 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.989 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.989 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.989 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.989 * [taylor]: Taking taylor expansion of 1.0 in x 4.989 * [taylor]: Taking taylor expansion of 1.0 in x 4.989 * [taylor]: Taking taylor expansion of (* x x) in x 4.989 * [taylor]: Taking taylor expansion of x in x 4.989 * [taylor]: Taking taylor expansion of x in x 5.035 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.036 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.036 * [taylor]: Taking taylor expansion of 1.0 in x 5.036 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.036 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.036 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.036 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.036 * [taylor]: Taking taylor expansion of 1.0 in x 5.036 * [taylor]: Taking taylor expansion of 1.0 in x 5.036 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.036 * [taylor]: Taking taylor expansion of x in x 5.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.036 * [taylor]: Taking taylor expansion of x in x 5.039 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.039 * [taylor]: Taking taylor expansion of 1.0 in x 5.039 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.040 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.040 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.040 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.040 * [taylor]: Taking taylor expansion of 1.0 in x 5.040 * [taylor]: Taking taylor expansion of 1.0 in x 5.040 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.040 * [taylor]: Taking taylor expansion of x in x 5.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.040 * [taylor]: Taking taylor expansion of x in x 5.062 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.062 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.062 * [taylor]: Taking taylor expansion of 1.0 in x 5.062 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.063 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.063 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.063 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.063 * [taylor]: Taking taylor expansion of 1.0 in x 5.063 * [taylor]: Taking taylor expansion of 1.0 in x 5.063 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.063 * [taylor]: Taking taylor expansion of -1 in x 5.063 * [taylor]: Taking taylor expansion of x in x 5.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.063 * [taylor]: Taking taylor expansion of -1 in x 5.063 * [taylor]: Taking taylor expansion of x in x 5.066 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.066 * [taylor]: Taking taylor expansion of 1.0 in x 5.066 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.066 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.066 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.066 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.066 * [taylor]: Taking taylor expansion of 1.0 in x 5.066 * [taylor]: Taking taylor expansion of 1.0 in x 5.066 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.066 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.066 * [taylor]: Taking taylor expansion of -1 in x 5.066 * [taylor]: Taking taylor expansion of x in x 5.067 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.067 * [taylor]: Taking taylor expansion of -1 in x 5.067 * [taylor]: Taking taylor expansion of x in x 5.096 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 5.096 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 5.096 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.096 * [taylor]: Taking taylor expansion of 1.0 in x 5.096 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.096 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.096 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.096 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.096 * [taylor]: Taking taylor expansion of 1.0 in x 5.096 * [taylor]: Taking taylor expansion of 1.0 in x 5.096 * [taylor]: Taking taylor expansion of (* x x) in x 5.096 * [taylor]: Taking taylor expansion of x in x 5.096 * [taylor]: Taking taylor expansion of x in x 5.099 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.099 * [taylor]: Taking taylor expansion of 1.0 in x 5.099 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.099 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.100 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.100 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.100 * [taylor]: Taking taylor expansion of 1.0 in x 5.100 * [taylor]: Taking taylor expansion of 1.0 in x 5.100 * [taylor]: Taking taylor expansion of (* x x) in x 5.100 * [taylor]: Taking taylor expansion of x in x 5.100 * [taylor]: Taking taylor expansion of x in x 5.140 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 5.140 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.140 * [taylor]: Taking taylor expansion of 1.0 in x 5.140 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.140 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.140 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.140 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.140 * [taylor]: Taking taylor expansion of 1.0 in x 5.140 * [taylor]: Taking taylor expansion of 1.0 in x 5.140 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.140 * [taylor]: Taking taylor expansion of x in x 5.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.141 * [taylor]: Taking taylor expansion of x in x 5.143 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.144 * [taylor]: Taking taylor expansion of 1.0 in x 5.144 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.144 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.144 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.144 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.144 * [taylor]: Taking taylor expansion of 1.0 in x 5.144 * [taylor]: Taking taylor expansion of 1.0 in x 5.144 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.144 * [taylor]: Taking taylor expansion of x in x 5.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.144 * [taylor]: Taking taylor expansion of x in x 5.166 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 5.166 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.166 * [taylor]: Taking taylor expansion of 1.0 in x 5.166 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.166 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.166 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.166 * [taylor]: Taking taylor expansion of 1.0 in x 5.167 * [taylor]: Taking taylor expansion of 1.0 in x 5.167 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.167 * [taylor]: Taking taylor expansion of -1 in x 5.167 * [taylor]: Taking taylor expansion of x in x 5.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.167 * [taylor]: Taking taylor expansion of -1 in x 5.167 * [taylor]: Taking taylor expansion of x in x 5.170 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.170 * [taylor]: Taking taylor expansion of 1.0 in x 5.170 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.170 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.170 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.170 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.170 * [taylor]: Taking taylor expansion of 1.0 in x 5.171 * [taylor]: Taking taylor expansion of 1.0 in x 5.171 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.171 * [taylor]: Taking taylor expansion of -1 in x 5.171 * [taylor]: Taking taylor expansion of x in x 5.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.171 * [taylor]: Taking taylor expansion of -1 in x 5.171 * [taylor]: Taking taylor expansion of x in x 5.200 * * * [progress]: simplifying candidates 5.203 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log1p (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (+ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (+ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- 0 (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (+ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (- (log 1) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (+ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 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1600 ) 5.232 * * [simplify]: iteration 1 : 4158 enodes (cost 1445 ) 5.297 * * [simplify]: iteration 2 : 5001 enodes (cost 1434 ) 5.304 * [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 (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log1p (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (pow (/ (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))))))) 3) (pow (/ (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))))))) 3) (* (cbrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (pow (/ (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))))))) 3) (sqrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (* (cbrt 1) (cbrt 1)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (cbrt 1) (cbrt 1)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (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)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (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 (* 0.0625 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (/ (sqrt 0.5) (pow (sqrt 1.0) 6))) (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 2)) (+ (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0))) (- (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 6)) (pow (sqrt 0.5) 2))) 0.03125 (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))) (fma (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 1.0) 7)) (pow (sqrt 0.5) 2))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (+ (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3))) (- (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0))) (fma (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) 0.25 (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5))))) (fma 0.25 (/ (/ (/ (sqrt 0.5) (pow x 2)) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma 0.25 (/ (/ (/ (sqrt 0.5) x) (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 2)) (sqrt 1.0)) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)) (fma 0.5 (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma (/ 0.0625 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) (/ 0.5 (fma (sqrt 1.0) (sqrt 0.5) 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 5.305 * * * [progress]: adding candidates to table 5.690 * * [progress]: iteration 4 / 4 5.691 * * * [progress]: picking best candidate 5.734 * * * * [pick]: Picked # 5.734 * * * [progress]: localizing error 5.750 * * * [progress]: generating rewritten candidates 5.750 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 5.750 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.770 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.813 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.825 * * * [progress]: generating series expansions 5.825 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 5.826 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 5.826 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.826 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.826 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.826 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.826 * [taylor]: Taking taylor expansion of 0.5 in x 5.826 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.826 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.826 * [taylor]: Taking taylor expansion of 1.0 in x 5.826 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.826 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.826 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.826 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.826 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.826 * [taylor]: Taking taylor expansion of 1.0 in x 5.826 * [taylor]: Taking taylor expansion of 1.0 in x 5.826 * [taylor]: Taking taylor expansion of (* x x) in x 5.826 * [taylor]: Taking taylor expansion of x in x 5.826 * [taylor]: Taking taylor expansion of x in x 5.829 * [taylor]: Taking taylor expansion of 1.0 in x 5.829 * [taylor]: Taking taylor expansion of 1.0 in x 5.829 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.830 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.830 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.830 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.830 * [taylor]: Taking taylor expansion of 0.5 in x 5.830 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.830 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.830 * [taylor]: Taking taylor expansion of 1.0 in x 5.830 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.830 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.830 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.830 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.830 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.830 * [taylor]: Taking taylor expansion of 1.0 in x 5.830 * [taylor]: Taking taylor expansion of 1.0 in x 5.830 * [taylor]: Taking taylor expansion of (* x x) in x 5.830 * [taylor]: Taking taylor expansion of x in x 5.830 * [taylor]: Taking taylor expansion of x in x 5.833 * [taylor]: Taking taylor expansion of 1.0 in x 5.833 * [taylor]: Taking taylor expansion of 1.0 in x 5.923 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 5.923 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.923 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.923 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.923 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.923 * [taylor]: Taking taylor expansion of 0.5 in x 5.923 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.924 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.924 * [taylor]: Taking taylor expansion of 1.0 in x 5.924 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.924 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.924 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.924 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.924 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.924 * [taylor]: Taking taylor expansion of 1.0 in x 5.924 * [taylor]: Taking taylor expansion of 1.0 in x 5.924 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.924 * [taylor]: Taking taylor expansion of x in x 5.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.924 * [taylor]: Taking taylor expansion of x in x 5.927 * [taylor]: Taking taylor expansion of 1.0 in x 5.927 * [taylor]: Taking taylor expansion of 1.0 in x 5.927 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.927 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.927 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.927 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.927 * [taylor]: Taking taylor expansion of 0.5 in x 5.927 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.927 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.927 * [taylor]: Taking taylor expansion of 1.0 in x 5.927 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.927 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.927 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.927 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.927 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.927 * [taylor]: Taking taylor expansion of 1.0 in x 5.927 * [taylor]: Taking taylor expansion of 1.0 in x 5.927 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.927 * [taylor]: Taking taylor expansion of x in x 5.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.928 * [taylor]: Taking taylor expansion of x in x 5.931 * [taylor]: Taking taylor expansion of 1.0 in x 5.931 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 5.955 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.955 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.955 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.955 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.955 * [taylor]: Taking taylor expansion of 0.5 in x 5.955 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.955 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.955 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.955 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.955 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.955 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [taylor]: Taking taylor expansion of 1.0 in x 5.955 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.955 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.955 * [taylor]: Taking taylor expansion of -1 in x 5.955 * [taylor]: Taking taylor expansion of x in x 5.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.956 * [taylor]: Taking taylor expansion of -1 in x 5.956 * [taylor]: Taking taylor expansion of x in x 5.959 * [taylor]: Taking taylor expansion of 1.0 in x 5.959 * [taylor]: Taking taylor expansion of 1.0 in x 5.959 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.959 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.959 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.959 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.959 * [taylor]: Taking taylor expansion of 0.5 in x 5.959 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.959 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.959 * [taylor]: Taking taylor expansion of 1.0 in x 5.959 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.959 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.959 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.959 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.959 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.959 * [taylor]: Taking taylor expansion of 1.0 in x 5.959 * [taylor]: Taking taylor expansion of 1.0 in x 5.959 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.959 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.959 * [taylor]: Taking taylor expansion of -1 in x 5.959 * [taylor]: Taking taylor expansion of x in x 5.960 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.960 * [taylor]: Taking taylor expansion of -1 in x 5.960 * [taylor]: Taking taylor expansion of x in x 5.963 * [taylor]: Taking taylor expansion of 1.0 in x 5.963 * [taylor]: Taking taylor expansion of 1.0 in x 5.981 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.982 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in (x) around 0 5.982 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 5.982 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.982 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.982 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.982 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.982 * [taylor]: Taking taylor expansion of 0.5 in x 5.982 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.982 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.982 * [taylor]: Taking taylor expansion of 1.0 in x 5.982 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.982 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.982 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.982 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.982 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.982 * [taylor]: Taking taylor expansion of 1.0 in x 5.982 * [taylor]: Taking taylor expansion of 1.0 in x 5.982 * [taylor]: Taking taylor expansion of (* x x) in x 5.982 * [taylor]: Taking taylor expansion of x in x 5.982 * [taylor]: Taking taylor expansion of x in x 5.985 * [taylor]: Taking taylor expansion of 1.0 in x 5.985 * [taylor]: Taking taylor expansion of 1.0 in x 5.985 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 5.985 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 5.985 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 5.985 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.985 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.985 * [taylor]: Taking taylor expansion of 0.5 in x 5.986 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.986 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.986 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.986 * [taylor]: Taking taylor expansion of 1.0 in x 5.986 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.986 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.986 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.986 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.986 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.986 * [taylor]: Taking taylor expansion of 1.0 in x 5.986 * [taylor]: Taking taylor expansion of 1.0 in x 5.986 * [taylor]: Taking taylor expansion of (* x x) in x 5.986 * [taylor]: Taking taylor expansion of x in x 5.986 * [taylor]: Taking taylor expansion of x in x 5.989 * [taylor]: Taking taylor expansion of 1.0 in x 5.994 * [taylor]: Taking taylor expansion of 1.0 in x 6.013 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 6.014 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.014 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.014 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.014 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.014 * [taylor]: Taking taylor expansion of 0.5 in x 6.014 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.014 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.014 * [taylor]: Taking taylor expansion of 1.0 in x 6.014 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.014 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.014 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.014 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.014 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.014 * [taylor]: Taking taylor expansion of 1.0 in x 6.014 * [taylor]: Taking taylor expansion of 1.0 in x 6.014 * [taylor]: Taking taylor expansion of (* x x) in x 6.014 * [taylor]: Taking taylor expansion of x in x 6.014 * [taylor]: Taking taylor expansion of x in x 6.017 * [taylor]: Taking taylor expansion of 1.0 in x 6.017 * [taylor]: Taking taylor expansion of 1.0 in x 6.017 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 6.017 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 6.017 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.017 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.017 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.017 * [taylor]: Taking taylor expansion of 0.5 in x 6.018 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.018 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.018 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.018 * [taylor]: Taking taylor expansion of 1.0 in x 6.018 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.018 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.018 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.018 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.018 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.018 * [taylor]: Taking taylor expansion of 1.0 in x 6.018 * [taylor]: Taking taylor expansion of 1.0 in x 6.018 * [taylor]: Taking taylor expansion of (* x x) in x 6.018 * [taylor]: Taking taylor expansion of x in x 6.018 * [taylor]: Taking taylor expansion of x in x 6.021 * [taylor]: Taking taylor expansion of 1.0 in x 6.033 * [taylor]: Taking taylor expansion of 1.0 in x 7.116 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in (x) around 0 7.116 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 7.116 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 7.117 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 7.117 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.117 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.117 * [taylor]: Taking taylor expansion of 0.5 in x 7.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.117 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.117 * [taylor]: Taking taylor expansion of 1.0 in x 7.117 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.117 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.117 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.117 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.117 * [taylor]: Taking taylor expansion of 1.0 in x 7.117 * [taylor]: Taking taylor expansion of 1.0 in x 7.117 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.117 * [taylor]: Taking taylor expansion of x in x 7.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.117 * [taylor]: Taking taylor expansion of x in x 7.121 * [taylor]: Taking taylor expansion of 1.0 in x 7.121 * [taylor]: Taking taylor expansion of 1.0 in x 7.121 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.121 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.121 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.121 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.121 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.121 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.121 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.121 * [taylor]: Taking taylor expansion of 1.0 in x 7.121 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.121 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.121 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.121 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.121 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.121 * [taylor]: Taking taylor expansion of 1.0 in x 7.121 * [taylor]: Taking taylor expansion of 1.0 in x 7.121 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.121 * [taylor]: Taking taylor expansion of x in x 7.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.122 * [taylor]: Taking taylor expansion of x in x 7.125 * [taylor]: Taking taylor expansion of 1.0 in x 7.126 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.127 * [taylor]: Taking taylor expansion of 0.5 in x 7.127 * [taylor]: Taking taylor expansion of 1.0 in x 7.155 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 7.155 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 7.156 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 7.156 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.156 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.156 * [taylor]: Taking taylor expansion of 0.5 in x 7.156 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.156 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.156 * [taylor]: Taking taylor expansion of 1.0 in x 7.156 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.156 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.156 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.156 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.156 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.156 * [taylor]: Taking taylor expansion of 1.0 in x 7.156 * [taylor]: Taking taylor expansion of 1.0 in x 7.156 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.156 * [taylor]: Taking taylor expansion of x in x 7.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.156 * [taylor]: Taking taylor expansion of x in x 7.159 * [taylor]: Taking taylor expansion of 1.0 in x 7.159 * [taylor]: Taking taylor expansion of 1.0 in x 7.159 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.159 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.159 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.159 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.159 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.160 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.160 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.160 * [taylor]: Taking taylor expansion of 1.0 in x 7.160 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.160 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.160 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.160 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.160 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.160 * [taylor]: Taking taylor expansion of 1.0 in x 7.160 * [taylor]: Taking taylor expansion of 1.0 in x 7.160 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.160 * [taylor]: Taking taylor expansion of x in x 7.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.160 * [taylor]: Taking taylor expansion of x in x 7.163 * [taylor]: Taking taylor expansion of 1.0 in x 7.165 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.165 * [taylor]: Taking taylor expansion of 0.5 in x 7.166 * [taylor]: Taking taylor expansion of 1.0 in x 7.435 * [approximate]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in (x) around 0 7.435 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 7.435 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 7.436 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 7.436 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.436 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.436 * [taylor]: Taking taylor expansion of 0.5 in x 7.436 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.436 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.436 * [taylor]: Taking taylor expansion of 1.0 in x 7.436 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.436 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.436 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.436 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.436 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.436 * [taylor]: Taking taylor expansion of 1.0 in x 7.436 * [taylor]: Taking taylor expansion of 1.0 in x 7.436 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.436 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.436 * [taylor]: Taking taylor expansion of -1 in x 7.436 * [taylor]: Taking taylor expansion of x in x 7.436 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.436 * [taylor]: Taking taylor expansion of -1 in x 7.436 * [taylor]: Taking taylor expansion of x in x 7.440 * [taylor]: Taking taylor expansion of 1.0 in x 7.440 * [taylor]: Taking taylor expansion of 1.0 in x 7.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.440 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.440 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.440 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.440 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.440 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.440 * [taylor]: Taking taylor expansion of 1.0 in x 7.440 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.440 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.440 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.440 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.440 * [taylor]: Taking taylor expansion of 1.0 in x 7.440 * [taylor]: Taking taylor expansion of 1.0 in x 7.440 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.440 * [taylor]: Taking taylor expansion of -1 in x 7.440 * [taylor]: Taking taylor expansion of x in x 7.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.440 * [taylor]: Taking taylor expansion of -1 in x 7.440 * [taylor]: Taking taylor expansion of x in x 7.443 * [taylor]: Taking taylor expansion of 1.0 in x 7.445 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.445 * [taylor]: Taking taylor expansion of 0.5 in x 7.446 * [taylor]: Taking taylor expansion of 1.0 in x 7.474 * [taylor]: Taking taylor expansion of (* (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 7.474 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 7.474 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 7.474 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.474 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.474 * [taylor]: Taking taylor expansion of 0.5 in x 7.474 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.474 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.474 * [taylor]: Taking taylor expansion of 1.0 in x 7.474 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.474 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.475 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.475 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.475 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.475 * [taylor]: Taking taylor expansion of 1.0 in x 7.475 * [taylor]: Taking taylor expansion of 1.0 in x 7.475 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.475 * [taylor]: Taking taylor expansion of -1 in x 7.475 * [taylor]: Taking taylor expansion of x in x 7.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.475 * [taylor]: Taking taylor expansion of -1 in x 7.475 * [taylor]: Taking taylor expansion of x in x 7.478 * [taylor]: Taking taylor expansion of 1.0 in x 7.478 * [taylor]: Taking taylor expansion of 1.0 in x 7.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 7.478 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 7.478 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.478 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.478 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.478 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.478 * [taylor]: Taking taylor expansion of 1.0 in x 7.478 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.478 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.478 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.478 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.478 * [taylor]: Taking taylor expansion of 1.0 in x 7.478 * [taylor]: Taking taylor expansion of 1.0 in x 7.478 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.478 * [taylor]: Taking taylor expansion of -1 in x 7.478 * [taylor]: Taking taylor expansion of x in x 7.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.479 * [taylor]: Taking taylor expansion of -1 in x 7.479 * [taylor]: Taking taylor expansion of x in x 7.482 * [taylor]: Taking taylor expansion of 1.0 in x 7.484 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.484 * [taylor]: Taking taylor expansion of 0.5 in x 7.484 * [taylor]: Taking taylor expansion of 1.0 in x 7.746 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.747 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 7.747 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 7.747 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 7.747 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 7.747 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.747 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.747 * [taylor]: Taking taylor expansion of 0.5 in x 7.747 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.747 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.747 * [taylor]: Taking taylor expansion of 1.0 in x 7.747 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.747 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.747 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.747 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.747 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.747 * [taylor]: Taking taylor expansion of 1.0 in x 7.747 * [taylor]: Taking taylor expansion of 1.0 in x 7.748 * [taylor]: Taking taylor expansion of (* x x) in x 7.748 * [taylor]: Taking taylor expansion of x in x 7.748 * [taylor]: Taking taylor expansion of x in x 7.751 * [taylor]: Taking taylor expansion of 1.0 in x 7.751 * [taylor]: Taking taylor expansion of 1.0 in x 7.751 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 7.751 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.751 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.751 * [taylor]: Taking taylor expansion of 0.5 in x 7.752 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.752 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.752 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.752 * [taylor]: Taking taylor expansion of 1.0 in x 7.752 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.752 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.752 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.752 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.752 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.752 * [taylor]: Taking taylor expansion of 1.0 in x 7.752 * [taylor]: Taking taylor expansion of 1.0 in x 7.752 * [taylor]: Taking taylor expansion of (* x x) in x 7.752 * [taylor]: Taking taylor expansion of x in x 7.752 * [taylor]: Taking taylor expansion of x in x 7.755 * [taylor]: Taking taylor expansion of 1.0 in x 7.760 * [taylor]: Taking taylor expansion of 1.0 in x 7.788 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 7.788 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 7.788 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 7.788 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.788 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.788 * [taylor]: Taking taylor expansion of 0.5 in x 7.788 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.788 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.788 * [taylor]: Taking taylor expansion of 1.0 in x 7.788 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.788 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.789 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.789 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.789 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.789 * [taylor]: Taking taylor expansion of 1.0 in x 7.789 * [taylor]: Taking taylor expansion of 1.0 in x 7.789 * [taylor]: Taking taylor expansion of (* x x) in x 7.789 * [taylor]: Taking taylor expansion of x in x 7.789 * [taylor]: Taking taylor expansion of x in x 7.792 * [taylor]: Taking taylor expansion of 1.0 in x 7.792 * [taylor]: Taking taylor expansion of 1.0 in x 7.792 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 7.792 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.792 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.792 * [taylor]: Taking taylor expansion of 0.5 in x 7.792 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.792 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.792 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.792 * [taylor]: Taking taylor expansion of 1.0 in x 7.792 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.793 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.793 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.793 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.793 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.793 * [taylor]: Taking taylor expansion of 1.0 in x 7.793 * [taylor]: Taking taylor expansion of 1.0 in x 7.793 * [taylor]: Taking taylor expansion of (* x x) in x 7.793 * [taylor]: Taking taylor expansion of x in x 7.793 * [taylor]: Taking taylor expansion of x in x 7.796 * [taylor]: Taking taylor expansion of 1.0 in x 7.801 * [taylor]: Taking taylor expansion of 1.0 in x 8.649 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 8.650 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 8.650 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 8.650 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 8.650 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.650 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.650 * [taylor]: Taking taylor expansion of 0.5 in x 8.650 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.650 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.650 * [taylor]: Taking taylor expansion of 1.0 in x 8.650 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.650 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.650 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.650 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.650 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.650 * [taylor]: Taking taylor expansion of 1.0 in x 8.650 * [taylor]: Taking taylor expansion of 1.0 in x 8.650 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.650 * [taylor]: Taking taylor expansion of x in x 8.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.650 * [taylor]: Taking taylor expansion of x in x 8.653 * [taylor]: Taking taylor expansion of 1.0 in x 8.653 * [taylor]: Taking taylor expansion of 1.0 in x 8.653 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 8.654 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 8.654 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.654 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.654 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.654 * [taylor]: Taking taylor expansion of 1.0 in x 8.654 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.654 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.654 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.654 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.654 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.654 * [taylor]: Taking taylor expansion of 1.0 in x 8.654 * [taylor]: Taking taylor expansion of 1.0 in x 8.654 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.654 * [taylor]: Taking taylor expansion of x in x 8.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.654 * [taylor]: Taking taylor expansion of x in x 8.657 * [taylor]: Taking taylor expansion of 1.0 in x 8.659 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.659 * [taylor]: Taking taylor expansion of 0.5 in x 8.660 * [taylor]: Taking taylor expansion of 1.0 in x 8.665 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 8.665 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 8.665 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 8.665 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.665 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.665 * [taylor]: Taking taylor expansion of 0.5 in x 8.665 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.665 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.665 * [taylor]: Taking taylor expansion of 1.0 in x 8.665 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.665 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.666 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.666 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.666 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.666 * [taylor]: Taking taylor expansion of 1.0 in x 8.666 * [taylor]: Taking taylor expansion of 1.0 in x 8.666 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.666 * [taylor]: Taking taylor expansion of x in x 8.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.666 * [taylor]: Taking taylor expansion of x in x 8.669 * [taylor]: Taking taylor expansion of 1.0 in x 8.669 * [taylor]: Taking taylor expansion of 1.0 in x 8.669 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 8.669 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 8.669 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.669 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.669 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.669 * [taylor]: Taking taylor expansion of 1.0 in x 8.669 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.669 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.669 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.669 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.669 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.669 * [taylor]: Taking taylor expansion of 1.0 in x 8.669 * [taylor]: Taking taylor expansion of 1.0 in x 8.669 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.669 * [taylor]: Taking taylor expansion of x in x 8.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.670 * [taylor]: Taking taylor expansion of x in x 8.672 * [taylor]: Taking taylor expansion of 1.0 in x 8.675 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.675 * [taylor]: Taking taylor expansion of 0.5 in x 8.675 * [taylor]: Taking taylor expansion of 1.0 in x 8.825 * [approximate]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 8.825 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 8.825 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 8.826 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 8.826 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.826 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.826 * [taylor]: Taking taylor expansion of 0.5 in x 8.826 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.826 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.826 * [taylor]: Taking taylor expansion of 1.0 in x 8.826 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.826 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.826 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.826 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.826 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.826 * [taylor]: Taking taylor expansion of 1.0 in x 8.826 * [taylor]: Taking taylor expansion of 1.0 in x 8.826 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.826 * [taylor]: Taking taylor expansion of -1 in x 8.826 * [taylor]: Taking taylor expansion of x in x 8.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.826 * [taylor]: Taking taylor expansion of -1 in x 8.826 * [taylor]: Taking taylor expansion of x in x 8.829 * [taylor]: Taking taylor expansion of 1.0 in x 8.829 * [taylor]: Taking taylor expansion of 1.0 in x 8.829 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 8.829 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 8.829 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.830 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.830 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.830 * [taylor]: Taking taylor expansion of 1.0 in x 8.830 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.830 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.830 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.830 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.830 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.830 * [taylor]: Taking taylor expansion of 1.0 in x 8.830 * [taylor]: Taking taylor expansion of 1.0 in x 8.830 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.830 * [taylor]: Taking taylor expansion of -1 in x 8.830 * [taylor]: Taking taylor expansion of x in x 8.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.830 * [taylor]: Taking taylor expansion of -1 in x 8.830 * [taylor]: Taking taylor expansion of x in x 8.833 * [taylor]: Taking taylor expansion of 1.0 in x 8.835 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.835 * [taylor]: Taking taylor expansion of 0.5 in x 8.836 * [taylor]: Taking taylor expansion of 1.0 in x 8.841 * [taylor]: Taking taylor expansion of (/ (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 8.841 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 8.841 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 8.841 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.841 * [taylor]: Taking taylor expansion of (- 0.5) in x 8.841 * [taylor]: Taking taylor expansion of 0.5 in x 8.841 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.841 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.841 * [taylor]: Taking taylor expansion of 1.0 in x 8.841 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.842 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.842 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.842 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.842 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.842 * [taylor]: Taking taylor expansion of 1.0 in x 8.842 * [taylor]: Taking taylor expansion of 1.0 in x 8.842 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.842 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.842 * [taylor]: Taking taylor expansion of -1 in x 8.842 * [taylor]: Taking taylor expansion of x in x 8.842 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.842 * [taylor]: Taking taylor expansion of -1 in x 8.842 * [taylor]: Taking taylor expansion of x in x 8.845 * [taylor]: Taking taylor expansion of 1.0 in x 8.845 * [taylor]: Taking taylor expansion of 1.0 in x 8.845 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 8.845 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 8.845 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.845 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.845 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.845 * [taylor]: Taking taylor expansion of 1.0 in x 8.845 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.845 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.845 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.846 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.846 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.846 * [taylor]: Taking taylor expansion of 1.0 in x 8.846 * [taylor]: Taking taylor expansion of 1.0 in x 8.846 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.846 * [taylor]: Taking taylor expansion of -1 in x 8.846 * [taylor]: Taking taylor expansion of x in x 8.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.846 * [taylor]: Taking taylor expansion of -1 in x 8.846 * [taylor]: Taking taylor expansion of x in x 8.849 * [taylor]: Taking taylor expansion of 1.0 in x 8.859 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.859 * [taylor]: Taking taylor expansion of 0.5 in x 8.860 * [taylor]: Taking taylor expansion of 1.0 in x 8.997 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 8.997 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in (x) around 0 8.997 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 8.997 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 8.997 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 8.998 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 8.998 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.998 * [taylor]: Taking taylor expansion of 0.5 in x 8.998 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 8.998 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 8.998 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 8.998 * [taylor]: Taking taylor expansion of 1.0 in x 8.998 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 8.998 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 8.998 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 8.999 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 8.999 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.999 * [taylor]: Taking taylor expansion of 1.0 in x 8.999 * [taylor]: Taking taylor expansion of 1.0 in x 8.999 * [taylor]: Taking taylor expansion of (* x x) in x 8.999 * [taylor]: Taking taylor expansion of x in x 8.999 * [taylor]: Taking taylor expansion of x in x 9.001 * [taylor]: Taking taylor expansion of 1.0 in x 9.007 * [taylor]: Taking taylor expansion of 1.0 in x 9.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 9.036 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 9.036 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 9.036 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 9.036 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.036 * [taylor]: Taking taylor expansion of 0.5 in x 9.036 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 9.037 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 9.037 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 9.037 * [taylor]: Taking taylor expansion of 1.0 in x 9.037 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 9.037 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 9.037 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 9.037 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 9.037 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.037 * [taylor]: Taking taylor expansion of 1.0 in x 9.037 * [taylor]: Taking taylor expansion of 1.0 in x 9.037 * [taylor]: Taking taylor expansion of (* x x) in x 9.037 * [taylor]: Taking taylor expansion of x in x 9.037 * [taylor]: Taking taylor expansion of x in x 9.040 * [taylor]: Taking taylor expansion of 1.0 in x 9.046 * [taylor]: Taking taylor expansion of 1.0 in x 9.644 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in (x) around 0 9.644 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 9.644 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 9.644 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.644 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 9.644 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.644 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.644 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.644 * [taylor]: Taking taylor expansion of 1.0 in x 9.644 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.644 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.644 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.644 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.644 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.644 * [taylor]: Taking taylor expansion of 1.0 in x 9.644 * [taylor]: Taking taylor expansion of 1.0 in x 9.644 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.644 * [taylor]: Taking taylor expansion of x in x 9.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.645 * [taylor]: Taking taylor expansion of x in x 9.648 * [taylor]: Taking taylor expansion of 1.0 in x 9.650 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.650 * [taylor]: Taking taylor expansion of 0.5 in x 9.651 * [taylor]: Taking taylor expansion of 1.0 in x 9.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 9.678 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 9.678 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.678 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 9.678 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 9.678 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 9.678 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 9.678 * [taylor]: Taking taylor expansion of 1.0 in x 9.678 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 9.678 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 9.678 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 9.678 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 9.678 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.678 * [taylor]: Taking taylor expansion of 1.0 in x 9.679 * [taylor]: Taking taylor expansion of 1.0 in x 9.679 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.679 * [taylor]: Taking taylor expansion of x in x 9.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.679 * [taylor]: Taking taylor expansion of x in x 9.690 * [taylor]: Taking taylor expansion of 1.0 in x 9.692 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.692 * [taylor]: Taking taylor expansion of 0.5 in x 9.693 * [taylor]: Taking taylor expansion of 1.0 in x 9.860 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in (x) around 0 9.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 9.860 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 9.860 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.860 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 9.860 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.860 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.860 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.860 * [taylor]: Taking taylor expansion of 1.0 in x 9.860 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.860 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.860 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.860 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.860 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.860 * [taylor]: Taking taylor expansion of 1.0 in x 9.860 * [taylor]: Taking taylor expansion of 1.0 in x 9.860 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.860 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.860 * [taylor]: Taking taylor expansion of -1 in x 9.860 * [taylor]: Taking taylor expansion of x in x 9.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.861 * [taylor]: Taking taylor expansion of -1 in x 9.861 * [taylor]: Taking taylor expansion of x in x 9.864 * [taylor]: Taking taylor expansion of 1.0 in x 9.866 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.866 * [taylor]: Taking taylor expansion of 0.5 in x 9.866 * [taylor]: Taking taylor expansion of 1.0 in x 9.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 9.895 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 9.895 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 9.895 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 9.895 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 9.895 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 9.895 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 9.895 * [taylor]: Taking taylor expansion of 1.0 in x 9.895 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 9.895 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 9.895 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 9.895 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 9.895 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 9.895 * [taylor]: Taking taylor expansion of 1.0 in x 9.895 * [taylor]: Taking taylor expansion of 1.0 in x 9.895 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.895 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.895 * [taylor]: Taking taylor expansion of -1 in x 9.895 * [taylor]: Taking taylor expansion of x in x 9.896 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.896 * [taylor]: Taking taylor expansion of -1 in x 9.896 * [taylor]: Taking taylor expansion of x in x 9.899 * [taylor]: Taking taylor expansion of 1.0 in x 9.901 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 9.901 * [taylor]: Taking taylor expansion of 0.5 in x 9.901 * [taylor]: Taking taylor expansion of 1.0 in x 10.067 * * * [progress]: simplifying candidates 10.071 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log1p (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (+ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (cbrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (cbrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (sqrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (sqrt (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (* (cbrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ (* 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(/ 1.0 (hypot 1.0 x))))))))) (+ (+ (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (+ (log (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (* (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (* (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (* (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (* (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (cbrt (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (cbrt (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (* (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt 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x))))))))) (sqrt 1)) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (- (* 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)))))))))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt 1)) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt 1)) (expm1 (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log1p (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (pow (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 3) (fabs (cbrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (cbrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fabs (/ (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ (cbrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fabs (cbrt 1)) (sqrt (/ (cbrt 1) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fabs (cbrt 1)) (sqrt (/ (cbrt 1) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (sqrt (/ (sqrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ (sqrt 1) 1)) (sqrt (/ (sqrt 1) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (sqrt 1) 1)) (sqrt (/ (sqrt 1) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (sqrt (/ 1 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt 1) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt 1) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt 1) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt 1) (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ 1 (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)))) (sqrt (+ (* 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 (- (* 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))))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) -1/2 (- 1/2) 1/2 (sqrt (sqrt (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (sqrt (/ 1 (+ 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 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (- (fma (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) (fma (* 0.01171875 (* (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow (sqrt 0.5) 2) (pow (sqrt 1.0) 6)))) (sqrt (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5))) (fma 0.0625 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.0078125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (fma 0.5 (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.078125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))))))) (fma (* 0.01171875 (* (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow (sqrt 0.5) 2) (pow (sqrt 1.0) 7)))) (sqrt (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5))) (* 0.0625 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 4)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.1875 (* (/ (pow x 4) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0)))) (fma 0.046875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.0078125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 7)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.5 (* (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0))) (/ 1 (sqrt 1.0)))))))) (fma (* 0.03125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) (- (fma 0.046875 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)))) (fma 0.5 (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (* 0.125 (* (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))))))) (fma 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))) (* 0.125 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))))))) (+ (+ (fma (* 0.5 (/ 1 x)) (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (* 0.03125 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))))) (fma (* 0.046875 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2)))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5))) (* 0.5 (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)))))) (* (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) (+ (* 0.125 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (sqrt 1.0))))))) (- (- (fma (* 0.0625 (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0)) 0.5 (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (fma (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25 (fma 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6)))) (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))))))) (fma 0.5 (/ (/ 1 (sqrt 1.0)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) (* 0.09375 (* (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 5))))))) (fma (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 7)))) 0.03125 (fma (* 0.125 (/ (* (pow x 2) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 4)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 7))) (* (/ (/ (pow x 4) (pow (sqrt 1.0) 5)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.1875))))) (- (- (+ (+ (* 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2))))) (fma 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (/ (* 0.5 1) (fma (sqrt 1.0) (sqrt 0.5) 1.0)))) (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)))) (* (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5)) (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))) (+ (+ (fma 0.25 (/ (sqrt 0.5) (* (pow x 2) (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))) (* 0.25 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))) (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (fma (sqrt 1.0) (sqrt 0.5) 1.0) 3)))) (fma (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) 0.5 (fma (/ (/ 1 x) (fma (sqrt 1.0) (sqrt 0.5) 1.0)) 0.5 (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)))))))) (+ (fma (* 0.015625 (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0)))) (- (fma (* 0.0234375 (sqrt (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)))) (* (/ (pow x 4) (pow (sqrt 1.0) 6)) (/ (pow (sqrt 0.5) 2) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0))) (* 0.125 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (* 0.09375 (* (sqrt (/ 1 (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 3) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)))))) (fma (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) (- (+ (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))) (* 0.09375 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)))))) (* 0.25 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))))))) (fma (* 0.0625 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3))) (+ (fma 0.25 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 3)))) (* 0.09375 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (sqrt (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)))))) (sqrt (/ 1 (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0))))) 10.125 * * * [progress]: adding candidates to table 10.712 * [progress]: [Phase 3 of 3] Extracting. 10.712 * * [regime]: Finding splitpoints for: (# # # # # #) 10.725 * * * [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) 10.725 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # # #) 10.793 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 10.810 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # # #) 10.875 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 10.893 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # # #) 10.953 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 10.973 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # # # #) 11.035 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # # # #) 11.099 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # # # #) 11.164 * * * * [regimes]: Trying to branch on x from (# # # # # #) 11.235 * * * [regime]: Found split indices: #