19.145 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.036 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.037 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.039 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.040 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.042 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.043 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.044 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.045 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.062 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.067 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.067 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.068 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.068 * [taylor]: Taking taylor expansion of 0.5 in x 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.069 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.069 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.069 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.069 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.069 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.069 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (* x x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.079 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.079 * [taylor]: Taking taylor expansion of 0.5 in x 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.079 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.079 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.079 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.080 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.080 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.080 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (* x x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [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 0.329 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.329 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.329 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.329 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.329 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.335 * [taylor]: Taking taylor expansion of 0.5 in x 0.335 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.336 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.336 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.336 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.336 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.336 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.336 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.341 * [taylor]: Taking taylor expansion of 0.5 in x 0.378 * [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 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.378 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.378 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.378 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.378 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.378 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.391 * [taylor]: Taking taylor expansion of 0.5 in x 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.392 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.392 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.392 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.392 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.392 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.392 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.392 * [taylor]: Taking taylor expansion of -1 in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.392 * [taylor]: Taking taylor expansion of -1 in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.397 * [taylor]: Taking taylor expansion of 0.5 in x 0.434 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 2) 0.434 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.434 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.434 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.434 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of (* x x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.437 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.437 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.437 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (* x x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.486 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.486 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.486 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.486 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.490 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.490 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.513 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.513 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.513 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.513 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.513 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.517 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.517 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.517 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.540 * * * [progress]: simplifying candidates 0.541 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 0.549 * * [simplify]: iteration 0 : 422 enodes (cost 844 ) 0.557 * * [simplify]: iteration 1 : 1629 enodes (cost 601 ) 0.586 * * [simplify]: iteration 2 : 5001 enodes (cost 599 ) 0.590 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 0.590 * * * [progress]: adding candidates to table 0.759 * * [progress]: iteration 2 / 4 0.759 * * * [progress]: picking best candidate 0.776 * * * * [pick]: Picked # 0.777 * * * [progress]: localizing error 0.789 * * * [progress]: generating rewritten candidates 0.789 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.790 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.793 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.796 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.805 * * * [progress]: generating series expansions 0.805 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.806 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 0.806 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 0.806 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 0.806 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.806 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.806 * [taylor]: Taking taylor expansion of 0.5 in x 0.806 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.806 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.806 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.806 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.806 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.806 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of (* x x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of 1.0 in x 0.809 * [taylor]: Taking taylor expansion of 1.0 in x 0.809 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 0.809 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 0.809 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.810 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.810 * [taylor]: Taking taylor expansion of 0.5 in x 0.810 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.810 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.810 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.810 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.810 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.810 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (* x x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 0.905 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 0.906 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 0.906 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.906 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.906 * [taylor]: Taking taylor expansion of 0.5 in x 0.906 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.906 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.906 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.906 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.906 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.906 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 0.909 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 0.909 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.909 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.909 * [taylor]: Taking taylor expansion of 0.5 in x 0.909 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.910 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.910 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.910 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.910 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.910 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.910 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.931 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 0.931 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 0.931 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 0.931 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.931 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.932 * [taylor]: Taking taylor expansion of 0.5 in x 0.932 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.932 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.932 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.932 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.932 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.932 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.932 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.932 * [taylor]: Taking taylor expansion of -1 in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.932 * [taylor]: Taking taylor expansion of -1 in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 0.942 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 0.942 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.942 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.942 * [taylor]: Taking taylor expansion of 0.5 in x 0.942 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.942 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.942 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.942 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.942 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.942 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.942 * [taylor]: Taking taylor expansion of -1 in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.943 * [taylor]: Taking taylor expansion of -1 in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.964 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.964 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.964 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.964 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.964 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.964 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.964 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [taylor]: Taking taylor expansion of (* x x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.967 * [taylor]: Taking taylor expansion of 1.0 in x 0.967 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.967 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.967 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.967 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.967 * [taylor]: Taking taylor expansion of 1.0 in x 0.967 * [taylor]: Taking taylor expansion of 1.0 in x 0.967 * [taylor]: Taking taylor expansion of (* x x) in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of x in x 1.006 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.006 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.006 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.006 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.006 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.010 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.010 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.010 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.039 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.039 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.039 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.039 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.039 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.039 * [taylor]: Taking taylor expansion of -1 in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.039 * [taylor]: Taking taylor expansion of -1 in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.043 * [taylor]: Taking taylor expansion of 1.0 in x 1.043 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.043 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.043 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.043 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.043 * [taylor]: Taking taylor expansion of 1.0 in x 1.043 * [taylor]: Taking taylor expansion of 1.0 in x 1.043 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.043 * [taylor]: Taking taylor expansion of -1 in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.043 * [taylor]: Taking taylor expansion of -1 in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.066 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.066 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.066 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.066 * [taylor]: Taking taylor expansion of 1.0 in x 1.066 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.066 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.066 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.066 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.066 * [taylor]: Taking taylor expansion of 1.0 in x 1.066 * [taylor]: Taking taylor expansion of 1.0 in x 1.066 * [taylor]: Taking taylor expansion of (* x x) in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.069 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.069 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.069 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (* x x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.115 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.115 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.115 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.115 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.115 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.115 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.115 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.119 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.119 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.119 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.143 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.143 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.143 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.143 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.143 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.143 * [taylor]: Taking taylor expansion of -1 in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.143 * [taylor]: Taking taylor expansion of -1 in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.146 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.147 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.147 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.147 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.147 * [taylor]: Taking taylor expansion of -1 in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.147 * [taylor]: Taking taylor expansion of -1 in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.170 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.171 * [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 1.171 * [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 1.171 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.171 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.171 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.171 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.171 * [taylor]: Taking taylor expansion of 0.5 in x 1.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.171 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.171 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.171 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.171 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of (* x x) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of 1.0 in x 1.174 * [taylor]: Taking taylor expansion of 1.0 in x 1.174 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.174 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.174 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.174 * [taylor]: Taking taylor expansion of 0.5 in x 1.175 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.175 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.175 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.175 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.175 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.175 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.175 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [taylor]: Taking taylor expansion of (* x x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.209 * [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 1.209 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.209 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.209 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.209 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.209 * [taylor]: Taking taylor expansion of 0.5 in x 1.209 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.209 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.209 * [taylor]: Taking taylor expansion of 1.0 in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.210 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.210 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.210 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.210 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.210 * [taylor]: Taking taylor expansion of 1.0 in x 1.210 * [taylor]: Taking taylor expansion of 1.0 in x 1.210 * [taylor]: Taking taylor expansion of (* x x) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.213 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.213 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.213 * [taylor]: Taking taylor expansion of 0.5 in x 1.214 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.214 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.214 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.214 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.214 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [taylor]: Taking taylor expansion of (* x x) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 2.059 * [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 2.059 * [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 2.059 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.059 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.059 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.059 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.059 * [taylor]: Taking taylor expansion of 0.5 in x 2.059 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.059 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.059 * [taylor]: Taking taylor expansion of 1.0 in x 2.059 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.059 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.059 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.059 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.059 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.059 * [taylor]: Taking taylor expansion of 1.0 in x 2.059 * [taylor]: Taking taylor expansion of 1.0 in x 2.059 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of 1.0 in x 2.063 * [taylor]: Taking taylor expansion of 1.0 in x 2.063 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.063 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.063 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.063 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.063 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.063 * [taylor]: Taking taylor expansion of 1.0 in x 2.063 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.063 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.063 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.063 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.063 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.063 * [taylor]: Taking taylor expansion of 1.0 in x 2.063 * [taylor]: Taking taylor expansion of 1.0 in x 2.063 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.066 * [taylor]: Taking taylor expansion of 1.0 in x 2.068 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.068 * [taylor]: Taking taylor expansion of 0.5 in x 2.069 * [taylor]: Taking taylor expansion of 1.0 in x 2.074 * [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 2.074 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.074 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.074 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.074 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.074 * [taylor]: Taking taylor expansion of 0.5 in x 2.074 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.074 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.074 * [taylor]: Taking taylor expansion of 1.0 in x 2.074 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.074 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.074 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.075 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.075 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.075 * [taylor]: Taking taylor expansion of 1.0 in x 2.075 * [taylor]: Taking taylor expansion of 1.0 in x 2.075 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of 1.0 in x 2.084 * [taylor]: Taking taylor expansion of 1.0 in x 2.085 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.085 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.085 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.085 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.085 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.085 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.085 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.085 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.085 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.085 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.088 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.090 * [taylor]: Taking taylor expansion of 0.5 in x 2.091 * [taylor]: Taking taylor expansion of 1.0 in x 2.228 * [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 2.228 * [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 2.228 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.228 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.228 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.228 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.228 * [taylor]: Taking taylor expansion of 0.5 in x 2.228 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.228 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.228 * [taylor]: Taking taylor expansion of 1.0 in x 2.228 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.228 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.228 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.228 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.228 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.228 * [taylor]: Taking taylor expansion of 1.0 in x 2.228 * [taylor]: Taking taylor expansion of 1.0 in x 2.228 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.228 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.228 * [taylor]: Taking taylor expansion of -1 in x 2.228 * [taylor]: Taking taylor expansion of x in x 2.229 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.229 * [taylor]: Taking taylor expansion of -1 in x 2.229 * [taylor]: Taking taylor expansion of x in x 2.232 * [taylor]: Taking taylor expansion of 1.0 in x 2.232 * [taylor]: Taking taylor expansion of 1.0 in x 2.232 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.232 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.232 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.232 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.232 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.232 * [taylor]: Taking taylor expansion of 1.0 in x 2.232 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.232 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.232 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.232 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.232 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.232 * [taylor]: Taking taylor expansion of 1.0 in x 2.232 * [taylor]: Taking taylor expansion of 1.0 in x 2.232 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.232 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.232 * [taylor]: Taking taylor expansion of -1 in x 2.232 * [taylor]: Taking taylor expansion of x in x 2.233 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.233 * [taylor]: Taking taylor expansion of -1 in x 2.233 * [taylor]: Taking taylor expansion of x in x 2.236 * [taylor]: Taking taylor expansion of 1.0 in x 2.238 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.238 * [taylor]: Taking taylor expansion of 0.5 in x 2.238 * [taylor]: Taking taylor expansion of 1.0 in x 2.243 * [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 2.243 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.244 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.244 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.244 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.244 * [taylor]: Taking taylor expansion of 0.5 in x 2.244 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.244 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.244 * [taylor]: Taking taylor expansion of 1.0 in x 2.244 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.244 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.244 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.244 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.244 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.244 * [taylor]: Taking taylor expansion of 1.0 in x 2.244 * [taylor]: Taking taylor expansion of 1.0 in x 2.244 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.244 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.244 * [taylor]: Taking taylor expansion of -1 in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.251 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.251 * [taylor]: Taking taylor expansion of -1 in x 2.251 * [taylor]: Taking taylor expansion of x in x 2.255 * [taylor]: Taking taylor expansion of 1.0 in x 2.255 * [taylor]: Taking taylor expansion of 1.0 in x 2.255 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.255 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.255 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.255 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.255 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.255 * [taylor]: Taking taylor expansion of 1.0 in x 2.255 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.255 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.255 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.255 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.255 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.255 * [taylor]: Taking taylor expansion of 1.0 in x 2.255 * [taylor]: Taking taylor expansion of 1.0 in x 2.255 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.255 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.255 * [taylor]: Taking taylor expansion of -1 in x 2.255 * [taylor]: Taking taylor expansion of x in x 2.256 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.256 * [taylor]: Taking taylor expansion of -1 in x 2.256 * [taylor]: Taking taylor expansion of x in x 2.259 * [taylor]: Taking taylor expansion of 1.0 in x 2.261 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.261 * [taylor]: Taking taylor expansion of 0.5 in x 2.261 * [taylor]: Taking taylor expansion of 1.0 in x 2.400 * * * [progress]: simplifying candidates 2.402 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ (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 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(cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ (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)) (+ 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)))))))) (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)) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (* 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))))))) 2.497 * * * [progress]: adding candidates to table 2.914 * * [progress]: iteration 3 / 4 2.914 * * * [progress]: picking best candidate 2.928 * * * * [pick]: Picked # 2.928 * * * [progress]: localizing error 2.948 * * * [progress]: generating rewritten candidates 2.948 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.949 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.959 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 2 2) 2.962 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 2.968 * * * [progress]: generating series expansions 2.968 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.969 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.969 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.969 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.969 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.969 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.969 * [taylor]: Taking taylor expansion of 0.5 in x 2.969 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.969 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.969 * [taylor]: Taking taylor expansion of 1.0 in x 2.969 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.969 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.970 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.970 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.970 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.970 * [taylor]: Taking taylor expansion of 1.0 in x 2.970 * [taylor]: Taking taylor expansion of 1.0 in x 2.970 * [taylor]: Taking taylor expansion of (* x x) in x 2.970 * [taylor]: Taking taylor expansion of x in x 2.970 * [taylor]: Taking taylor expansion of x in x 2.973 * [taylor]: Taking taylor expansion of 1.0 in x 2.973 * [taylor]: Taking taylor expansion of 1.0 in x 2.973 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.973 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.973 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.973 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.973 * [taylor]: Taking taylor expansion of 0.5 in x 2.973 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.973 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.973 * [taylor]: Taking taylor expansion of 1.0 in x 2.973 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.973 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.973 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.973 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.973 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.973 * [taylor]: Taking taylor expansion of 1.0 in x 2.973 * [taylor]: Taking taylor expansion of 1.0 in x 2.973 * [taylor]: Taking taylor expansion of (* x x) in x 2.973 * [taylor]: Taking taylor expansion of x in x 2.973 * [taylor]: Taking taylor expansion of x in x 2.976 * [taylor]: Taking taylor expansion of 1.0 in x 2.976 * [taylor]: Taking taylor expansion of 1.0 in x 3.068 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.068 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.068 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.068 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.068 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.068 * [taylor]: Taking taylor expansion of 0.5 in x 3.068 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.068 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.068 * [taylor]: Taking taylor expansion of 1.0 in x 3.068 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.068 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.068 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.068 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.068 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.068 * [taylor]: Taking taylor expansion of 1.0 in x 3.068 * [taylor]: Taking taylor expansion of 1.0 in x 3.068 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.069 * [taylor]: Taking taylor expansion of x in x 3.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.069 * [taylor]: Taking taylor expansion of x in x 3.072 * [taylor]: Taking taylor expansion of 1.0 in x 3.072 * [taylor]: Taking taylor expansion of 1.0 in x 3.072 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.072 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.072 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.072 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.072 * [taylor]: Taking taylor expansion of 0.5 in x 3.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.072 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.072 * [taylor]: Taking taylor expansion of 1.0 in x 3.072 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.072 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.072 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.072 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.072 * [taylor]: Taking taylor expansion of 1.0 in x 3.072 * [taylor]: Taking taylor expansion of 1.0 in x 3.072 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.072 * [taylor]: Taking taylor expansion of x in x 3.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.073 * [taylor]: Taking taylor expansion of x in x 3.075 * [taylor]: Taking taylor expansion of 1.0 in x 3.075 * [taylor]: Taking taylor expansion of 1.0 in x 3.093 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.093 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.094 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.094 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.094 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.094 * [taylor]: Taking taylor expansion of 0.5 in x 3.094 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.094 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.094 * [taylor]: Taking taylor expansion of 1.0 in x 3.094 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.094 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.094 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.094 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.094 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.094 * [taylor]: Taking taylor expansion of 1.0 in x 3.094 * [taylor]: Taking taylor expansion of 1.0 in x 3.094 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.094 * [taylor]: Taking taylor expansion of -1 in x 3.094 * [taylor]: Taking taylor expansion of x in x 3.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.094 * [taylor]: Taking taylor expansion of -1 in x 3.094 * [taylor]: Taking taylor expansion of x in x 3.097 * [taylor]: Taking taylor expansion of 1.0 in x 3.097 * [taylor]: Taking taylor expansion of 1.0 in x 3.097 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.098 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.098 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.098 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.098 * [taylor]: Taking taylor expansion of 0.5 in x 3.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.098 * [taylor]: Taking taylor expansion of 1.0 in x 3.098 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.098 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.098 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.098 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.098 * [taylor]: Taking taylor expansion of 1.0 in x 3.098 * [taylor]: Taking taylor expansion of 1.0 in x 3.098 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.098 * [taylor]: Taking taylor expansion of -1 in x 3.098 * [taylor]: Taking taylor expansion of x in x 3.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.098 * [taylor]: Taking taylor expansion of -1 in x 3.098 * [taylor]: Taking taylor expansion of x in x 3.101 * [taylor]: Taking taylor expansion of 1.0 in x 3.101 * [taylor]: Taking taylor expansion of 1.0 in x 3.125 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.126 * [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 3.126 * [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 3.126 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.126 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.126 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.126 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.126 * [taylor]: Taking taylor expansion of 0.5 in x 3.127 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.127 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.127 * [taylor]: Taking taylor expansion of 1.0 in x 3.127 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.127 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.127 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.127 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.127 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.127 * [taylor]: Taking taylor expansion of 1.0 in x 3.127 * [taylor]: Taking taylor expansion of 1.0 in x 3.127 * [taylor]: Taking taylor expansion of (* x x) in x 3.127 * [taylor]: Taking taylor expansion of x in x 3.127 * [taylor]: Taking taylor expansion of x in x 3.130 * [taylor]: Taking taylor expansion of 1.0 in x 3.130 * [taylor]: Taking taylor expansion of 1.0 in x 3.130 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.130 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.130 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.130 * [taylor]: Taking taylor expansion of 0.5 in x 3.130 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.130 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.130 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.130 * [taylor]: Taking taylor expansion of 1.0 in x 3.130 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.131 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.131 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.131 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.131 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.131 * [taylor]: Taking taylor expansion of 1.0 in x 3.131 * [taylor]: Taking taylor expansion of 1.0 in x 3.131 * [taylor]: Taking taylor expansion of (* x x) in x 3.131 * [taylor]: Taking taylor expansion of x in x 3.131 * [taylor]: Taking taylor expansion of x in x 3.134 * [taylor]: Taking taylor expansion of 1.0 in x 3.139 * [taylor]: Taking taylor expansion of 1.0 in x 3.159 * [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 3.159 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.159 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.159 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.159 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.159 * [taylor]: Taking taylor expansion of 0.5 in x 3.159 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.159 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.159 * [taylor]: Taking taylor expansion of 1.0 in x 3.159 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.159 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.159 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.159 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.159 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.159 * [taylor]: Taking taylor expansion of 1.0 in x 3.159 * [taylor]: Taking taylor expansion of 1.0 in x 3.159 * [taylor]: Taking taylor expansion of (* x x) in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.162 * [taylor]: Taking taylor expansion of 1.0 in x 3.163 * [taylor]: Taking taylor expansion of 1.0 in x 3.163 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.163 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.163 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.163 * [taylor]: Taking taylor expansion of 0.5 in x 3.163 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.163 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.163 * [taylor]: Taking taylor expansion of 1.0 in x 3.163 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.163 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.164 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.164 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.164 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.164 * [taylor]: Taking taylor expansion of 1.0 in x 3.164 * [taylor]: Taking taylor expansion of 1.0 in x 3.164 * [taylor]: Taking taylor expansion of (* x x) in x 3.164 * [taylor]: Taking taylor expansion of x in x 3.164 * [taylor]: Taking taylor expansion of x in x 3.166 * [taylor]: Taking taylor expansion of 1.0 in x 3.172 * [taylor]: Taking taylor expansion of 1.0 in x 4.018 * [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 4.018 * [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 4.019 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.019 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.019 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.019 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.019 * [taylor]: Taking taylor expansion of 0.5 in x 4.019 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.019 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.019 * [taylor]: Taking taylor expansion of 1.0 in x 4.019 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.019 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.019 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.019 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.019 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.019 * [taylor]: Taking taylor expansion of 1.0 in x 4.019 * [taylor]: Taking taylor expansion of 1.0 in x 4.019 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.019 * [taylor]: Taking taylor expansion of x in x 4.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.019 * [taylor]: Taking taylor expansion of x in x 4.022 * [taylor]: Taking taylor expansion of 1.0 in x 4.023 * [taylor]: Taking taylor expansion of 1.0 in x 4.023 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.023 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.023 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.023 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.023 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.023 * [taylor]: Taking taylor expansion of 1.0 in x 4.023 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.023 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.023 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.023 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.023 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.023 * [taylor]: Taking taylor expansion of 1.0 in x 4.023 * [taylor]: Taking taylor expansion of 1.0 in x 4.023 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.023 * [taylor]: Taking taylor expansion of x in x 4.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.023 * [taylor]: Taking taylor expansion of x in x 4.026 * [taylor]: Taking taylor expansion of 1.0 in x 4.028 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.028 * [taylor]: Taking taylor expansion of 0.5 in x 4.029 * [taylor]: Taking taylor expansion of 1.0 in x 4.034 * [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 4.034 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 4.034 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 4.035 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.035 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.035 * [taylor]: Taking taylor expansion of 0.5 in x 4.035 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.035 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.035 * [taylor]: Taking taylor expansion of 1.0 in x 4.035 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.035 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.035 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.035 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.035 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.035 * [taylor]: Taking taylor expansion of 1.0 in x 4.035 * [taylor]: Taking taylor expansion of 1.0 in x 4.035 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.035 * [taylor]: Taking taylor expansion of x in x 4.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.035 * [taylor]: Taking taylor expansion of x in x 4.038 * [taylor]: Taking taylor expansion of 1.0 in x 4.038 * [taylor]: Taking taylor expansion of 1.0 in x 4.038 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.038 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.038 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.038 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.038 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.038 * [taylor]: Taking taylor expansion of 1.0 in x 4.038 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.038 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.038 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.038 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.038 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.038 * [taylor]: Taking taylor expansion of 1.0 in x 4.039 * [taylor]: Taking taylor expansion of 1.0 in x 4.039 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.039 * [taylor]: Taking taylor expansion of x in x 4.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.039 * [taylor]: Taking taylor expansion of x in x 4.042 * [taylor]: Taking taylor expansion of 1.0 in x 4.044 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.044 * [taylor]: Taking taylor expansion of 0.5 in x 4.045 * [taylor]: Taking taylor expansion of 1.0 in x 4.189 * [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 4.189 * [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 4.189 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.189 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.189 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.189 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.189 * [taylor]: Taking taylor expansion of 0.5 in x 4.189 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.189 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.189 * [taylor]: Taking taylor expansion of 1.0 in x 4.189 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.189 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.189 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.189 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.189 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.189 * [taylor]: Taking taylor expansion of 1.0 in x 4.189 * [taylor]: Taking taylor expansion of 1.0 in x 4.189 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.189 * [taylor]: Taking taylor expansion of -1 in x 4.190 * [taylor]: Taking taylor expansion of x in x 4.190 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.190 * [taylor]: Taking taylor expansion of -1 in x 4.190 * [taylor]: Taking taylor expansion of x in x 4.193 * [taylor]: Taking taylor expansion of 1.0 in x 4.193 * [taylor]: Taking taylor expansion of 1.0 in x 4.193 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.193 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.193 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.193 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.193 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.193 * [taylor]: Taking taylor expansion of 1.0 in x 4.193 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.193 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.193 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.193 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.193 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.193 * [taylor]: Taking taylor expansion of 1.0 in x 4.193 * [taylor]: Taking taylor expansion of 1.0 in x 4.193 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.193 * [taylor]: Taking taylor expansion of -1 in x 4.193 * [taylor]: Taking taylor expansion of x in x 4.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.194 * [taylor]: Taking taylor expansion of -1 in x 4.194 * [taylor]: Taking taylor expansion of x in x 4.197 * [taylor]: Taking taylor expansion of 1.0 in x 4.199 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.199 * [taylor]: Taking taylor expansion of 0.5 in x 4.199 * [taylor]: Taking taylor expansion of 1.0 in x 4.205 * [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 4.205 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 4.205 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 4.205 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.205 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.205 * [taylor]: Taking taylor expansion of 0.5 in x 4.205 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.205 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.205 * [taylor]: Taking taylor expansion of 1.0 in x 4.205 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.205 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.205 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.205 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.205 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.205 * [taylor]: Taking taylor expansion of 1.0 in x 4.205 * [taylor]: Taking taylor expansion of 1.0 in x 4.205 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.205 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.205 * [taylor]: Taking taylor expansion of -1 in x 4.205 * [taylor]: Taking taylor expansion of x in x 4.206 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.206 * [taylor]: Taking taylor expansion of -1 in x 4.206 * [taylor]: Taking taylor expansion of x in x 4.209 * [taylor]: Taking taylor expansion of 1.0 in x 4.209 * [taylor]: Taking taylor expansion of 1.0 in x 4.209 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.209 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.209 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.209 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.209 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.209 * [taylor]: Taking taylor expansion of 1.0 in x 4.209 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.209 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.209 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.209 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.209 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.209 * [taylor]: Taking taylor expansion of 1.0 in x 4.209 * [taylor]: Taking taylor expansion of 1.0 in x 4.209 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.209 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.209 * [taylor]: Taking taylor expansion of -1 in x 4.209 * [taylor]: Taking taylor expansion of x in x 4.210 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.210 * [taylor]: Taking taylor expansion of -1 in x 4.210 * [taylor]: Taking taylor expansion of x in x 4.213 * [taylor]: Taking taylor expansion of 1.0 in x 4.215 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.215 * [taylor]: Taking taylor expansion of 0.5 in x 4.215 * [taylor]: Taking taylor expansion of 1.0 in x 4.358 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 2 2) 4.358 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 4.358 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.358 * [taylor]: Taking taylor expansion of 1.0 in x 4.358 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.358 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.358 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.358 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.358 * [taylor]: Taking taylor expansion of 1.0 in x 4.358 * [taylor]: Taking taylor expansion of 1.0 in x 4.358 * [taylor]: Taking taylor expansion of (* x x) in x 4.358 * [taylor]: Taking taylor expansion of x in x 4.358 * [taylor]: Taking taylor expansion of x in x 4.361 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.361 * [taylor]: Taking taylor expansion of 1.0 in x 4.361 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.361 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.361 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.361 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.361 * [taylor]: Taking taylor expansion of 1.0 in x 4.361 * [taylor]: Taking taylor expansion of 1.0 in x 4.361 * [taylor]: Taking taylor expansion of (* x x) in x 4.361 * [taylor]: Taking taylor expansion of x in x 4.362 * [taylor]: Taking taylor expansion of x in x 4.401 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 4.401 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.401 * [taylor]: Taking taylor expansion of 1.0 in x 4.401 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.401 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.401 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.401 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.401 * [taylor]: Taking taylor expansion of 1.0 in x 4.401 * [taylor]: Taking taylor expansion of 1.0 in x 4.401 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.401 * [taylor]: Taking taylor expansion of x in x 4.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.402 * [taylor]: Taking taylor expansion of x in x 4.405 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.405 * [taylor]: Taking taylor expansion of 1.0 in x 4.405 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.405 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.405 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.405 * [taylor]: Taking taylor expansion of 1.0 in x 4.405 * [taylor]: Taking taylor expansion of 1.0 in x 4.405 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.405 * [taylor]: Taking taylor expansion of x in x 4.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.405 * [taylor]: Taking taylor expansion of x in x 4.434 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 4.434 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.434 * [taylor]: Taking taylor expansion of 1.0 in x 4.434 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.435 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.435 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.435 * [taylor]: Taking taylor expansion of 1.0 in x 4.435 * [taylor]: Taking taylor expansion of 1.0 in x 4.435 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.435 * [taylor]: Taking taylor expansion of -1 in x 4.435 * [taylor]: Taking taylor expansion of x in x 4.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.435 * [taylor]: Taking taylor expansion of -1 in x 4.435 * [taylor]: Taking taylor expansion of x in x 4.438 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.438 * [taylor]: Taking taylor expansion of 1.0 in x 4.438 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.439 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.439 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.439 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.439 * [taylor]: Taking taylor expansion of 1.0 in x 4.439 * [taylor]: Taking taylor expansion of 1.0 in x 4.439 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.439 * [taylor]: Taking taylor expansion of -1 in x 4.439 * [taylor]: Taking taylor expansion of x in x 4.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.439 * [taylor]: Taking taylor expansion of -1 in x 4.439 * [taylor]: Taking taylor expansion of x in x 4.462 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 4.462 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 4.462 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.462 * [taylor]: Taking taylor expansion of 1.0 in x 4.462 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.462 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.462 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.462 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.462 * [taylor]: Taking taylor expansion of 1.0 in x 4.462 * [taylor]: Taking taylor expansion of 1.0 in x 4.462 * [taylor]: Taking taylor expansion of (* x x) in x 4.462 * [taylor]: Taking taylor expansion of x in x 4.462 * [taylor]: Taking taylor expansion of x in x 4.465 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 4.465 * [taylor]: Taking taylor expansion of 1.0 in x 4.465 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.465 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.465 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.465 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.465 * [taylor]: Taking taylor expansion of 1.0 in x 4.465 * [taylor]: Taking taylor expansion of 1.0 in x 4.465 * [taylor]: Taking taylor expansion of (* x x) in x 4.465 * [taylor]: Taking taylor expansion of x in x 4.465 * [taylor]: Taking taylor expansion of x in x 4.505 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 4.505 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.505 * [taylor]: Taking taylor expansion of 1.0 in x 4.505 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.505 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.505 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.505 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.505 * [taylor]: Taking taylor expansion of 1.0 in x 4.505 * [taylor]: Taking taylor expansion of 1.0 in x 4.505 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.506 * [taylor]: Taking taylor expansion of x in x 4.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.506 * [taylor]: Taking taylor expansion of x in x 4.509 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 4.509 * [taylor]: Taking taylor expansion of 1.0 in x 4.509 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.509 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.509 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.509 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.509 * [taylor]: Taking taylor expansion of 1.0 in x 4.509 * [taylor]: Taking taylor expansion of 1.0 in x 4.509 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.509 * [taylor]: Taking taylor expansion of x in x 4.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.509 * [taylor]: Taking taylor expansion of x in x 4.540 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 4.540 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.540 * [taylor]: Taking taylor expansion of 1.0 in x 4.540 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.540 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.540 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.540 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.540 * [taylor]: Taking taylor expansion of 1.0 in x 4.540 * [taylor]: Taking taylor expansion of 1.0 in x 4.540 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.540 * [taylor]: Taking taylor expansion of -1 in x 4.540 * [taylor]: Taking taylor expansion of x in x 4.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.540 * [taylor]: Taking taylor expansion of -1 in x 4.540 * [taylor]: Taking taylor expansion of x in x 4.543 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 4.544 * [taylor]: Taking taylor expansion of 1.0 in x 4.544 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.544 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.544 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.544 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.544 * [taylor]: Taking taylor expansion of 1.0 in x 4.544 * [taylor]: Taking taylor expansion of 1.0 in x 4.544 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.544 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.544 * [taylor]: Taking taylor expansion of -1 in x 4.544 * [taylor]: Taking taylor expansion of x in x 4.544 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.544 * [taylor]: Taking taylor expansion of -1 in x 4.544 * [taylor]: Taking taylor expansion of x in x 4.567 * * * [progress]: simplifying candidates 4.569 * [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 (+ 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 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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))))) 4.583 * * [simplify]: iteration 0 : 860 enodes (cost 1600 ) 4.608 * * [simplify]: iteration 1 : 4158 enodes (cost 1445 ) 4.673 * * [simplify]: iteration 2 : 5001 enodes (cost 1434 ) 4.680 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 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(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)))))) 4.681 * * * [progress]: adding candidates to table 5.123 * * [progress]: iteration 4 / 4 5.123 * * * [progress]: picking best candidate 5.134 * * * * [pick]: Picked # 5.135 * * * [progress]: localizing error 5.152 * * * [progress]: generating rewritten candidates 5.152 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 5.153 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 5.165 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.200 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1 2 2) 5.214 * * * [progress]: generating series expansions 5.214 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 5.215 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 5.216 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.216 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.216 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.216 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.216 * [taylor]: Taking taylor expansion of 0.5 in x 5.216 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.216 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.216 * [taylor]: Taking taylor expansion of 1.0 in x 5.216 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.216 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.216 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.216 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.216 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.216 * [taylor]: Taking taylor expansion of 1.0 in x 5.216 * [taylor]: Taking taylor expansion of 1.0 in x 5.216 * [taylor]: Taking taylor expansion of (* x x) in x 5.216 * [taylor]: Taking taylor expansion of x in x 5.216 * [taylor]: Taking taylor expansion of x in x 5.219 * [taylor]: Taking taylor expansion of 1.0 in x 5.219 * [taylor]: Taking taylor expansion of 1.0 in x 5.219 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 5.219 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 5.219 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.219 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.219 * [taylor]: Taking taylor expansion of 0.5 in x 5.219 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.219 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.219 * [taylor]: Taking taylor expansion of 1.0 in x 5.220 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.220 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.220 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.220 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.220 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.220 * [taylor]: Taking taylor expansion of 1.0 in x 5.220 * [taylor]: Taking taylor expansion of 1.0 in x 5.220 * [taylor]: Taking taylor expansion of (* x x) in x 5.220 * [taylor]: Taking taylor expansion of x in x 5.220 * [taylor]: Taking taylor expansion of x in x 5.223 * [taylor]: Taking taylor expansion of 1.0 in x 5.223 * [taylor]: Taking taylor expansion of 1.0 in x 5.325 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 5.325 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.325 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.325 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.325 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.325 * [taylor]: Taking taylor expansion of 0.5 in x 5.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.325 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.325 * [taylor]: Taking taylor expansion of 1.0 in x 5.325 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.325 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.325 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.325 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.325 * [taylor]: Taking taylor expansion of 1.0 in x 5.325 * [taylor]: Taking taylor expansion of 1.0 in x 5.325 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.325 * [taylor]: Taking taylor expansion of x in x 5.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.326 * [taylor]: Taking taylor expansion of x in x 5.329 * [taylor]: Taking taylor expansion of 1.0 in x 5.329 * [taylor]: Taking taylor expansion of 1.0 in x 5.329 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 5.329 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 5.329 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.329 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.329 * [taylor]: Taking taylor expansion of 0.5 in x 5.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.329 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.329 * [taylor]: Taking taylor expansion of 1.0 in x 5.329 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.329 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.329 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.329 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.329 * [taylor]: Taking taylor expansion of 1.0 in x 5.329 * [taylor]: Taking taylor expansion of 1.0 in x 5.329 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.329 * [taylor]: Taking taylor expansion of x in x 5.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.329 * [taylor]: Taking taylor expansion of x in x 5.332 * [taylor]: Taking taylor expansion of 1.0 in x 5.332 * [taylor]: Taking taylor expansion of 1.0 in x 5.350 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 5.350 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.351 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.351 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.351 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.351 * [taylor]: Taking taylor expansion of 0.5 in x 5.351 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.351 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.351 * [taylor]: Taking taylor expansion of 1.0 in x 5.351 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.351 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.351 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.351 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.351 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.351 * [taylor]: Taking taylor expansion of 1.0 in x 5.351 * [taylor]: Taking taylor expansion of 1.0 in x 5.351 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.351 * [taylor]: Taking taylor expansion of -1 in x 5.351 * [taylor]: Taking taylor expansion of x in x 5.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.351 * [taylor]: Taking taylor expansion of -1 in x 5.351 * [taylor]: Taking taylor expansion of x in x 5.354 * [taylor]: Taking taylor expansion of 1.0 in x 5.354 * [taylor]: Taking taylor expansion of 1.0 in x 5.354 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 5.355 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 5.355 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.355 * [taylor]: Taking taylor expansion of (- 0.5) in x 5.355 * [taylor]: Taking taylor expansion of 0.5 in x 5.355 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.355 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.355 * [taylor]: Taking taylor expansion of 1.0 in x 5.355 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.355 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.355 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.355 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.355 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.355 * [taylor]: Taking taylor expansion of 1.0 in x 5.355 * [taylor]: Taking taylor expansion of 1.0 in x 5.355 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.355 * [taylor]: Taking taylor expansion of -1 in x 5.355 * [taylor]: Taking taylor expansion of x in x 5.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.355 * [taylor]: Taking taylor expansion of -1 in x 5.355 * [taylor]: Taking taylor expansion of x in x 5.358 * [taylor]: Taking taylor expansion of 1.0 in x 5.358 * [taylor]: Taking taylor expansion of 1.0 in x 5.376 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 5.376 * [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 5.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 5.376 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 5.376 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 5.376 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.376 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.376 * [taylor]: Taking taylor expansion of 0.5 in x 5.377 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.377 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.377 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.377 * [taylor]: Taking taylor expansion of 1.0 in x 5.377 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.377 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.377 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.377 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.377 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.377 * [taylor]: Taking taylor expansion of 1.0 in x 5.377 * [taylor]: Taking taylor expansion of 1.0 in x 5.377 * [taylor]: Taking taylor expansion of (* x x) in x 5.377 * [taylor]: Taking taylor expansion of x in x 5.377 * [taylor]: Taking taylor expansion of x in x 5.380 * [taylor]: Taking taylor expansion of 1.0 in x 5.386 * [taylor]: Taking taylor expansion of 1.0 in x 5.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 5.412 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 5.412 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 5.412 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.412 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.412 * [taylor]: Taking taylor expansion of 0.5 in x 5.412 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.413 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.413 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.413 * [taylor]: Taking taylor expansion of 1.0 in x 5.413 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.413 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.413 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.413 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.413 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.413 * [taylor]: Taking taylor expansion of 1.0 in x 5.413 * [taylor]: Taking taylor expansion of 1.0 in x 5.413 * [taylor]: Taking taylor expansion of (* x x) in x 5.413 * [taylor]: Taking taylor expansion of x in x 5.413 * [taylor]: Taking taylor expansion of x in x 5.416 * [taylor]: Taking taylor expansion of 1.0 in x 5.422 * [taylor]: Taking taylor expansion of 1.0 in x 6.024 * [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 6.024 * [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 6.024 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.024 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.024 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.024 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.024 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.024 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.024 * [taylor]: Taking taylor expansion of 1.0 in x 6.024 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.024 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.024 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.024 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.024 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.024 * [taylor]: Taking taylor expansion of 1.0 in x 6.024 * [taylor]: Taking taylor expansion of 1.0 in x 6.024 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.024 * [taylor]: Taking taylor expansion of x in x 6.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.025 * [taylor]: Taking taylor expansion of x in x 6.028 * [taylor]: Taking taylor expansion of 1.0 in x 6.030 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.030 * [taylor]: Taking taylor expansion of 0.5 in x 6.030 * [taylor]: Taking taylor expansion of 1.0 in x 6.066 * [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 6.066 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.066 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.066 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.066 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.066 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.066 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.066 * [taylor]: Taking taylor expansion of 1.0 in x 6.066 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.066 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.066 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.066 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.066 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.066 * [taylor]: Taking taylor expansion of 1.0 in x 6.066 * [taylor]: Taking taylor expansion of 1.0 in x 6.066 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.066 * [taylor]: Taking taylor expansion of x in x 6.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.067 * [taylor]: Taking taylor expansion of x in x 6.070 * [taylor]: Taking taylor expansion of 1.0 in x 6.072 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.072 * [taylor]: Taking taylor expansion of 0.5 in x 6.072 * [taylor]: Taking taylor expansion of 1.0 in x 6.240 * [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 6.240 * [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 6.240 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.240 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.240 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.240 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.240 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.240 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.240 * [taylor]: Taking taylor expansion of 1.0 in x 6.240 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.240 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.240 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.240 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.240 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.240 * [taylor]: Taking taylor expansion of 1.0 in x 6.240 * [taylor]: Taking taylor expansion of 1.0 in x 6.240 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.240 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.240 * [taylor]: Taking taylor expansion of -1 in x 6.240 * [taylor]: Taking taylor expansion of x in x 6.240 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.240 * [taylor]: Taking taylor expansion of -1 in x 6.240 * [taylor]: Taking taylor expansion of x in x 6.243 * [taylor]: Taking taylor expansion of 1.0 in x 6.245 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.246 * [taylor]: Taking taylor expansion of 0.5 in x 6.246 * [taylor]: Taking taylor expansion of 1.0 in x 6.275 * [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 6.275 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.275 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.275 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.275 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.275 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.275 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.275 * [taylor]: Taking taylor expansion of 1.0 in x 6.275 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.275 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.275 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.275 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.275 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.275 * [taylor]: Taking taylor expansion of 1.0 in x 6.275 * [taylor]: Taking taylor expansion of 1.0 in x 6.275 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.275 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.275 * [taylor]: Taking taylor expansion of -1 in x 6.275 * [taylor]: Taking taylor expansion of x in x 6.275 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.275 * [taylor]: Taking taylor expansion of -1 in x 6.275 * [taylor]: Taking taylor expansion of x in x 6.279 * [taylor]: Taking taylor expansion of 1.0 in x 6.280 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.281 * [taylor]: Taking taylor expansion of 0.5 in x 6.281 * [taylor]: Taking taylor expansion of 1.0 in x 6.450 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.451 * [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 6.451 * [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 6.451 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.451 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.451 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.451 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.452 * [taylor]: Taking taylor expansion of 0.5 in x 6.452 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.452 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.452 * [taylor]: Taking taylor expansion of 1.0 in x 6.452 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.452 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.452 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.452 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.452 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.452 * [taylor]: Taking taylor expansion of 1.0 in x 6.452 * [taylor]: Taking taylor expansion of 1.0 in x 6.452 * [taylor]: Taking taylor expansion of (* x x) in x 6.452 * [taylor]: Taking taylor expansion of x in x 6.452 * [taylor]: Taking taylor expansion of x in x 6.455 * [taylor]: Taking taylor expansion of 1.0 in x 6.455 * [taylor]: Taking taylor expansion of 1.0 in x 6.455 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.455 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.455 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.455 * [taylor]: Taking taylor expansion of 0.5 in x 6.456 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.456 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.456 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.456 * [taylor]: Taking taylor expansion of 1.0 in x 6.456 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.456 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.456 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.456 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.456 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.456 * [taylor]: Taking taylor expansion of 1.0 in x 6.456 * [taylor]: Taking taylor expansion of 1.0 in x 6.456 * [taylor]: Taking taylor expansion of (* x x) in x 6.456 * [taylor]: Taking taylor expansion of x in x 6.456 * [taylor]: Taking taylor expansion of x in x 6.459 * [taylor]: Taking taylor expansion of 1.0 in x 6.465 * [taylor]: Taking taylor expansion of 1.0 in x 6.492 * [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 6.492 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 6.492 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 6.492 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.492 * [taylor]: Taking taylor expansion of (- 0.5) in x 6.492 * [taylor]: Taking taylor expansion of 0.5 in x 6.492 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.492 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.492 * [taylor]: Taking taylor expansion of 1.0 in x 6.492 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.492 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.492 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.492 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.492 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.492 * [taylor]: Taking taylor expansion of 1.0 in x 6.492 * [taylor]: Taking taylor expansion of 1.0 in x 6.492 * [taylor]: Taking taylor expansion of (* x x) in x 6.492 * [taylor]: Taking taylor expansion of x in x 6.492 * [taylor]: Taking taylor expansion of x in x 6.495 * [taylor]: Taking taylor expansion of 1.0 in x 6.495 * [taylor]: Taking taylor expansion of 1.0 in x 6.495 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 6.495 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 6.495 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.495 * [taylor]: Taking taylor expansion of 0.5 in x 6.496 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 6.496 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 6.496 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 6.496 * [taylor]: Taking taylor expansion of 1.0 in x 6.496 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 6.496 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.496 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.496 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.496 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.496 * [taylor]: Taking taylor expansion of 1.0 in x 6.496 * [taylor]: Taking taylor expansion of 1.0 in x 6.496 * [taylor]: Taking taylor expansion of (* x x) in x 6.496 * [taylor]: Taking taylor expansion of x in x 6.497 * [taylor]: Taking taylor expansion of x in x 6.499 * [taylor]: Taking taylor expansion of 1.0 in x 6.505 * [taylor]: Taking taylor expansion of 1.0 in x 7.361 * [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 7.362 * [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 7.362 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 7.362 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 7.362 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.362 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.362 * [taylor]: Taking taylor expansion of 0.5 in x 7.362 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.362 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.362 * [taylor]: Taking taylor expansion of 1.0 in x 7.362 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.362 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.362 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.362 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.362 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.362 * [taylor]: Taking taylor expansion of 1.0 in x 7.362 * [taylor]: Taking taylor expansion of 1.0 in x 7.362 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.362 * [taylor]: Taking taylor expansion of x in x 7.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.362 * [taylor]: Taking taylor expansion of x in x 7.365 * [taylor]: Taking taylor expansion of 1.0 in x 7.365 * [taylor]: Taking taylor expansion of 1.0 in x 7.365 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.365 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.365 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.365 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.365 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.365 * [taylor]: Taking taylor expansion of 1.0 in x 7.366 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.366 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.366 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.366 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.366 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.366 * [taylor]: Taking taylor expansion of 1.0 in x 7.366 * [taylor]: Taking taylor expansion of 1.0 in x 7.366 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.366 * [taylor]: Taking taylor expansion of x in x 7.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.366 * [taylor]: Taking taylor expansion of x in x 7.369 * [taylor]: Taking taylor expansion of 1.0 in x 7.371 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.371 * [taylor]: Taking taylor expansion of 0.5 in x 7.372 * [taylor]: Taking taylor expansion of 1.0 in x 7.377 * [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 7.377 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 7.377 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 7.377 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.377 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.377 * [taylor]: Taking taylor expansion of 0.5 in x 7.377 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.377 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.377 * [taylor]: Taking taylor expansion of 1.0 in x 7.377 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.377 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.377 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.377 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.377 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.377 * [taylor]: Taking taylor expansion of 1.0 in x 7.377 * [taylor]: Taking taylor expansion of 1.0 in x 7.377 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.377 * [taylor]: Taking taylor expansion of x in x 7.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.378 * [taylor]: Taking taylor expansion of x in x 7.381 * [taylor]: Taking taylor expansion of 1.0 in x 7.381 * [taylor]: Taking taylor expansion of 1.0 in x 7.381 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.381 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.381 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.381 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.381 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.381 * [taylor]: Taking taylor expansion of 1.0 in x 7.381 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.381 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.381 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.381 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.381 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.381 * [taylor]: Taking taylor expansion of 1.0 in x 7.381 * [taylor]: Taking taylor expansion of 1.0 in x 7.381 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.381 * [taylor]: Taking taylor expansion of x in x 7.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.381 * [taylor]: Taking taylor expansion of x in x 7.384 * [taylor]: Taking taylor expansion of 1.0 in x 7.386 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.386 * [taylor]: Taking taylor expansion of 0.5 in x 7.387 * [taylor]: Taking taylor expansion of 1.0 in x 7.537 * [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 7.537 * [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 7.537 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 7.537 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 7.537 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.537 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.537 * [taylor]: Taking taylor expansion of 0.5 in x 7.537 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.537 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.537 * [taylor]: Taking taylor expansion of 1.0 in x 7.537 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.538 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.538 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.538 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.538 * [taylor]: Taking taylor expansion of 1.0 in x 7.538 * [taylor]: Taking taylor expansion of 1.0 in x 7.538 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.538 * [taylor]: Taking taylor expansion of -1 in x 7.538 * [taylor]: Taking taylor expansion of x in x 7.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.538 * [taylor]: Taking taylor expansion of -1 in x 7.538 * [taylor]: Taking taylor expansion of x in x 7.542 * [taylor]: Taking taylor expansion of 1.0 in x 7.542 * [taylor]: Taking taylor expansion of 1.0 in x 7.542 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.542 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.542 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.542 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.542 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.542 * [taylor]: Taking taylor expansion of 1.0 in x 7.542 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.542 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.542 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.542 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.542 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.542 * [taylor]: Taking taylor expansion of 1.0 in x 7.542 * [taylor]: Taking taylor expansion of 1.0 in x 7.542 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.542 * [taylor]: Taking taylor expansion of -1 in x 7.542 * [taylor]: Taking taylor expansion of x in x 7.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.542 * [taylor]: Taking taylor expansion of -1 in x 7.542 * [taylor]: Taking taylor expansion of x in x 7.545 * [taylor]: Taking taylor expansion of 1.0 in x 7.547 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.547 * [taylor]: Taking taylor expansion of 0.5 in x 7.548 * [taylor]: Taking taylor expansion of 1.0 in x 7.553 * [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 7.553 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 7.553 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 7.553 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.553 * [taylor]: Taking taylor expansion of (- 0.5) in x 7.554 * [taylor]: Taking taylor expansion of 0.5 in x 7.554 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.554 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.554 * [taylor]: Taking taylor expansion of 1.0 in x 7.554 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.554 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.554 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.554 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.554 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.554 * [taylor]: Taking taylor expansion of 1.0 in x 7.554 * [taylor]: Taking taylor expansion of 1.0 in x 7.554 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.554 * [taylor]: Taking taylor expansion of -1 in x 7.554 * [taylor]: Taking taylor expansion of x in x 7.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.554 * [taylor]: Taking taylor expansion of -1 in x 7.554 * [taylor]: Taking taylor expansion of x in x 7.557 * [taylor]: Taking taylor expansion of 1.0 in x 7.557 * [taylor]: Taking taylor expansion of 1.0 in x 7.557 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 7.557 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.557 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.557 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.557 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.557 * [taylor]: Taking taylor expansion of 1.0 in x 7.557 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.557 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.558 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.558 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.558 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.558 * [taylor]: Taking taylor expansion of 1.0 in x 7.558 * [taylor]: Taking taylor expansion of 1.0 in x 7.558 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.558 * [taylor]: Taking taylor expansion of -1 in x 7.558 * [taylor]: Taking taylor expansion of x in x 7.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.558 * [taylor]: Taking taylor expansion of -1 in x 7.558 * [taylor]: Taking taylor expansion of x in x 7.561 * [taylor]: Taking taylor expansion of 1.0 in x 7.563 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.563 * [taylor]: Taking taylor expansion of 0.5 in x 7.564 * [taylor]: Taking taylor expansion of 1.0 in x 7.713 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1 2 2) 7.713 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 7.713 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 7.713 * [taylor]: Taking taylor expansion of 1.0 in x 7.713 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.713 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.713 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.713 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.713 * [taylor]: Taking taylor expansion of 1.0 in x 7.713 * [taylor]: Taking taylor expansion of 1.0 in x 7.713 * [taylor]: Taking taylor expansion of (* x x) in x 7.713 * [taylor]: Taking taylor expansion of x in x 7.713 * [taylor]: Taking taylor expansion of x in x 7.716 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 7.716 * [taylor]: Taking taylor expansion of 1.0 in x 7.716 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.716 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.716 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.716 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.716 * [taylor]: Taking taylor expansion of 1.0 in x 7.716 * [taylor]: Taking taylor expansion of 1.0 in x 7.716 * [taylor]: Taking taylor expansion of (* x x) in x 7.716 * [taylor]: Taking taylor expansion of x in x 7.716 * [taylor]: Taking taylor expansion of x in x 7.766 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 7.766 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 7.766 * [taylor]: Taking taylor expansion of 1.0 in x 7.766 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.766 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.766 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.766 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.766 * [taylor]: Taking taylor expansion of 1.0 in x 7.766 * [taylor]: Taking taylor expansion of 1.0 in x 7.766 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.767 * [taylor]: Taking taylor expansion of x in x 7.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.767 * [taylor]: Taking taylor expansion of x in x 7.770 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 7.770 * [taylor]: Taking taylor expansion of 1.0 in x 7.770 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.770 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.770 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.770 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.770 * [taylor]: Taking taylor expansion of 1.0 in x 7.770 * [taylor]: Taking taylor expansion of 1.0 in x 7.770 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.770 * [taylor]: Taking taylor expansion of x in x 7.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.770 * [taylor]: Taking taylor expansion of x in x 7.793 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 7.793 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 7.793 * [taylor]: Taking taylor expansion of 1.0 in x 7.793 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.793 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.793 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 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 (* (/ -1 x) (/ -1 x)) in x 7.794 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.794 * [taylor]: Taking taylor expansion of -1 in x 7.794 * [taylor]: Taking taylor expansion of x in x 7.794 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.794 * [taylor]: Taking taylor expansion of -1 in x 7.794 * [taylor]: Taking taylor expansion of x in x 7.797 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 7.797 * [taylor]: Taking taylor expansion of 1.0 in x 7.797 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.797 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.797 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.797 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.797 * [taylor]: Taking taylor expansion of 1.0 in x 7.797 * [taylor]: Taking taylor expansion of 1.0 in x 7.798 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.798 * [taylor]: Taking taylor expansion of -1 in x 7.798 * [taylor]: Taking taylor expansion of x in x 7.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.798 * [taylor]: Taking taylor expansion of -1 in x 7.798 * [taylor]: Taking taylor expansion of x in x 7.821 * * * [progress]: simplifying candidates 7.826 * [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 (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log1p (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (log (sqrt 1)) (log (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (/ (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 (+ 1.0 (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 (+ 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 1)) (- (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (* (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (cbrt (sqrt 1)) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (sqrt (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (cbrt (sqrt 1)) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (sqrt 1)) (/ (cbrt (sqrt 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (sqrt 1)) (/ (cbrt (sqrt 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (sqrt 1)) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) 1) (/ (cbrt (sqrt 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (* (cbrt 1) (cbrt 1))) (* (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (sqrt (cbrt 1)) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (* (cbrt 1) (cbrt 1))) (sqrt (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (sqrt (cbrt 1)) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (* (cbrt 1) (cbrt 1))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (cbrt 1)) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (* (cbrt 1) (cbrt 1))) (sqrt 1)) (/ (sqrt (cbrt 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (* (cbrt 1) (cbrt 1))) (sqrt 1)) (/ (sqrt (cbrt 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (* (cbrt 1) (cbrt 1))) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (cbrt 1)) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (* (cbrt 1) (cbrt 1))) 1) (/ (sqrt (cbrt 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (sqrt 1)) (* (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (sqrt (sqrt 1)) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (sqrt 1)) (sqrt (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (sqrt (sqrt 1)) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (sqrt 1)) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (sqrt 1)) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (sqrt 1)) (sqrt 1)) (/ (sqrt (sqrt 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (sqrt 1)) (sqrt 1)) (/ (sqrt (sqrt 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (sqrt 1)) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (sqrt 1)) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (sqrt 1)) 1) (/ (sqrt (sqrt 1)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (sqrt 1) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (sqrt 1) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt 1) 1) (/ (sqrt 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1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (+ (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (log (sqrt 1)) (log (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (+ (- (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (+ (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (log (sqrt 1)) (log (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (+ (log (/ (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 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x))))))))) (* (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))))))))) (* (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))))))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (+ (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))))) (- (- (+ (+ (* 0.0625 (* (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma (* 0.015625 (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (/ (* 0.5 1) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)))) (+ (+ (fma (* 0.09375 (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (/ (* (pow x 4) (sqrt 0.5)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2) (pow (sqrt 1.0) 6))) (* (/ (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) 0.25)) (* (/ 0.03125 (pow (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0) 3)) (* (/ 0.5 (pow (sqrt 1.0) 6)) (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0))))) (* 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 1.0 (/ 1 (sqrt 1.0)) (- (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 7.911 * * * [progress]: adding candidates to table 8.762 * [progress]: [Phase 3 of 3] Extracting. 8.762 * * [regime]: Finding splitpoints for: (# # # #) 8.764 * * * [regime-changes]: Trying 4 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) x) 8.764 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 8.800 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 8.833 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 8.867 * * * * [regimes]: Trying to branch on x from (# # # #) 8.906 * * * [regime]: Found split indices: #