10.173 * [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)))))) 0.035 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.036 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.038 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.039 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.040 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.042 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.043 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.043 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 2) 0.057 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.059 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.068 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.068 * [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 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.077 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.077 * [taylor]: Taking taylor expansion of 0.5 in x 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.078 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.078 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.078 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.078 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.078 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (* x x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [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 0.315 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.315 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.315 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.315 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.315 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.315 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.315 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.321 * [taylor]: Taking taylor expansion of 0.5 in x 0.321 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.321 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.321 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.321 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.322 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.322 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.322 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.327 * [taylor]: Taking taylor expansion of 0.5 in x 0.362 * [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 0.362 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.362 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.362 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.362 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.362 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.362 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.362 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.363 * [taylor]: Taking taylor expansion of -1 in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.363 * [taylor]: Taking taylor expansion of -1 in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.368 * [taylor]: Taking taylor expansion of 0.5 in x 0.368 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.369 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.369 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.369 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.369 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.369 * [taylor]: Taking taylor expansion of -1 in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.369 * [taylor]: Taking taylor expansion of -1 in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.374 * [taylor]: Taking taylor expansion of 0.5 in x 0.415 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 2) 0.415 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.415 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.415 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.415 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.415 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [taylor]: Taking taylor expansion of (* x x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.417 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.417 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.417 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [taylor]: Taking taylor expansion of (* x x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.433 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.433 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.433 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.434 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 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 (* (/ 1 x) (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.437 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.437 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 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 (* (/ 1 x) (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.450 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.450 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.450 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.450 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.451 * [taylor]: Taking taylor expansion of -1 in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.451 * [taylor]: Taking taylor expansion of -1 in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.454 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.454 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.454 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.468 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.468 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.468 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.468 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.468 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (* x x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.477 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.477 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.477 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (* x x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.515 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.515 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.516 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.516 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.516 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.519 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.519 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.519 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.541 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.541 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.541 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.541 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.541 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.541 * [taylor]: Taking taylor expansion of -1 in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.542 * [taylor]: Taking taylor expansion of -1 in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.545 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.545 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.545 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.545 * [taylor]: Taking taylor expansion of -1 in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.545 * [taylor]: Taking taylor expansion of -1 in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.573 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.573 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.573 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.573 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.573 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.574 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.574 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.574 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (* x x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of 1.0 in x 0.576 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.577 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.577 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.577 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.577 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.577 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [taylor]: Taking taylor expansion of (* x x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.641 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.641 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.641 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.641 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.645 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.645 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.645 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.645 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.645 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.658 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.658 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.658 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.658 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.658 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.658 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.658 * [taylor]: Taking taylor expansion of -1 in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.659 * [taylor]: Taking taylor expansion of -1 in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.662 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.662 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.662 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.662 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.662 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.663 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.663 * [taylor]: Taking taylor expansion of -1 in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.663 * [taylor]: Taking taylor expansion of -1 in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * * * [progress]: simplifying candidates 0.678 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (+ (* 1.0 1.0) (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) 1.0)) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ 1.0 (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (+ 1.0 (* 0.5 (/ 1 (pow x 3)))) (* 1.0 (/ 1 x))) 0.685 * * [simplify]: iteration 0 : 539 enodes (cost 998 ) 0.694 * * [simplify]: iteration 1 : 2059 enodes (cost 745 ) 0.727 * * [simplify]: iteration 2 : 5001 enodes (cost 742 ) 0.731 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (hypot 1.0 x)) (log1p (hypot 1.0 x)) (fma 1.0 1.0 (* x x)) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (pow (hypot 1.0 x) 3) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (fma 1.0 1.0 (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma 1.0 (/ 1 (sqrt 1.0)) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) 1.0) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.5) (pow x 3)) (fma 1.0 (/ 1 x) 1.0)) (+ (/ (- 1.0) x) (fma 0.5 (/ 1 (pow x 3)) 1.0)) 0.732 * * * [progress]: adding candidates to table 0.979 * * [progress]: iteration 2 / 4 0.979 * * * [progress]: picking best candidate 0.990 * * * * [pick]: Picked # 0.990 * * * [progress]: localizing error 1.005 * * * [progress]: generating rewritten candidates 1.005 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.005 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.008 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.010 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.014 * * * [progress]: generating series expansions 1.014 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.015 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.015 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.015 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.015 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.015 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.015 * [taylor]: Taking taylor expansion of 0.5 in x 1.015 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.015 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.015 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.015 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.015 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.015 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (* x x) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.019 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.019 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.019 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.019 * [taylor]: Taking taylor expansion of 0.5 in x 1.019 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.019 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.019 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.019 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.019 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.019 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (* x x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of 1.0 in x 1.022 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.116 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.117 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.117 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.117 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.117 * [taylor]: Taking taylor expansion of 0.5 in x 1.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.117 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.117 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.117 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.117 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.117 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.117 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.120 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.120 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.120 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.120 * [taylor]: Taking taylor expansion of 0.5 in x 1.120 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.120 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.120 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.121 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.121 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.121 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.142 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.142 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.142 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.142 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.142 * [taylor]: Taking taylor expansion of 0.5 in x 1.142 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.142 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.142 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.142 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.142 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.142 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.142 * [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 in x 1.146 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.146 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.146 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.146 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.146 * [taylor]: Taking taylor expansion of 0.5 in x 1.146 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.146 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (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 (/ 1 (hypot 1.0 (/ -1 x))) in x 1.146 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.146 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.146 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.146 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.146 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.146 * [taylor]: Taking taylor expansion of -1 in x 1.146 * [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 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.167 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.167 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.167 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.167 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.167 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.167 * [taylor]: Taking taylor expansion of 0.5 in x 1.168 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.168 * [taylor]: Taking taylor expansion of 1.0 in x 1.168 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.168 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.168 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.168 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.168 * [taylor]: Taking taylor expansion of 1.0 in x 1.168 * [taylor]: Taking taylor expansion of 1.0 in x 1.168 * [taylor]: Taking taylor expansion of (* x x) in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.177 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.177 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.177 * [taylor]: Taking taylor expansion of 0.5 in x 1.177 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.177 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.177 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.178 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.178 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.178 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.178 * [taylor]: Taking taylor expansion of 1.0 in x 1.178 * [taylor]: Taking taylor expansion of 1.0 in x 1.178 * [taylor]: Taking taylor expansion of (* x x) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.180 * [taylor]: Taking taylor expansion of 1.0 in x 1.186 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.393 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.393 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.393 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.393 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.393 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.394 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.399 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.399 * [taylor]: Taking taylor expansion of 0.5 in x 1.400 * [taylor]: Taking taylor expansion of 1.0 in x 1.400 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.400 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.400 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.400 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.400 * [taylor]: Taking taylor expansion of 1.0 in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.400 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.400 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.400 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.400 * [taylor]: Taking taylor expansion of 1.0 in x 1.400 * [taylor]: Taking taylor expansion of 1.0 in x 1.400 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.405 * [taylor]: Taking taylor expansion of 0.5 in x 1.406 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.440 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.440 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.440 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.441 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.441 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.441 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.441 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.441 * [taylor]: Taking taylor expansion of -1 in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.441 * [taylor]: Taking taylor expansion of -1 in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.446 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.446 * [taylor]: Taking taylor expansion of 0.5 in x 1.447 * [taylor]: Taking taylor expansion of 1.0 in x 1.447 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.447 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.447 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.447 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.447 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.447 * [taylor]: Taking taylor expansion of 1.0 in x 1.447 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.447 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.447 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.447 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.447 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.447 * [taylor]: Taking taylor expansion of 1.0 in x 1.447 * [taylor]: Taking taylor expansion of 1.0 in x 1.447 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.448 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.448 * [taylor]: Taking taylor expansion of -1 in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.448 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.448 * [taylor]: Taking taylor expansion of -1 in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.453 * [taylor]: Taking taylor expansion of 0.5 in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 1.483 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.483 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.483 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.483 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.483 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of (* x x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.486 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.486 * [taylor]: Taking taylor expansion of 1.0 in x 1.486 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.486 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.486 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.486 * [taylor]: Taking taylor expansion of 1.0 in x 1.486 * [taylor]: Taking taylor expansion of 1.0 in x 1.486 * [taylor]: Taking taylor expansion of (* x x) in x 1.486 * [taylor]: Taking taylor expansion of x in x 1.486 * [taylor]: Taking taylor expansion of x in x 1.531 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.531 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.531 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.531 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.531 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.531 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.531 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.535 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.535 * [taylor]: Taking taylor expansion of 1.0 in x 1.535 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.535 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.535 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.535 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.535 * [taylor]: Taking taylor expansion of 1.0 in x 1.535 * [taylor]: Taking taylor expansion of 1.0 in x 1.535 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.535 * [taylor]: Taking taylor expansion of x in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.535 * [taylor]: Taking taylor expansion of x in x 1.557 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.557 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.557 * [taylor]: Taking taylor expansion of 1.0 in x 1.557 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.557 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.557 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.557 * [taylor]: Taking taylor expansion of 1.0 in x 1.557 * [taylor]: Taking taylor expansion of 1.0 in x 1.557 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.557 * [taylor]: Taking taylor expansion of -1 in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.557 * [taylor]: Taking taylor expansion of -1 in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.560 * [taylor]: Taking taylor expansion of 1.0 in x 1.561 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.561 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.561 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.561 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.561 * [taylor]: Taking taylor expansion of 1.0 in x 1.561 * [taylor]: Taking taylor expansion of 1.0 in x 1.561 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.561 * [taylor]: Taking taylor expansion of -1 in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.561 * [taylor]: Taking taylor expansion of -1 in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.583 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 1.583 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.583 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.583 * [taylor]: Taking taylor expansion of 1.0 in x 1.583 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.584 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.584 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.584 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.584 * [taylor]: Taking taylor expansion of 1.0 in x 1.584 * [taylor]: Taking taylor expansion of 1.0 in x 1.584 * [taylor]: Taking taylor expansion of (* x x) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.586 * [taylor]: Taking taylor expansion of 1.0 in x 1.586 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.587 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.587 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.587 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.587 * [taylor]: Taking taylor expansion of 1.0 in x 1.587 * [taylor]: Taking taylor expansion of 1.0 in x 1.587 * [taylor]: Taking taylor expansion of (* x x) in x 1.587 * [taylor]: Taking taylor expansion of x in x 1.587 * [taylor]: Taking taylor expansion of x in x 1.633 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.633 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.633 * [taylor]: Taking taylor expansion of 1.0 in x 1.633 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.633 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.633 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.633 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.633 * [taylor]: Taking taylor expansion of 1.0 in x 1.633 * [taylor]: Taking taylor expansion of 1.0 in x 1.633 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.636 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.636 * [taylor]: Taking taylor expansion of 1.0 in x 1.636 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.636 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.637 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.637 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.637 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.659 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.659 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.659 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.659 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.659 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.659 * [taylor]: Taking taylor expansion of -1 in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.659 * [taylor]: Taking taylor expansion of -1 in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.662 * [taylor]: Taking taylor expansion of 1.0 in x 1.663 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.663 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.663 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.663 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.663 * [taylor]: Taking taylor expansion of 1.0 in x 1.663 * [taylor]: Taking taylor expansion of 1.0 in x 1.663 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.663 * [taylor]: Taking taylor expansion of -1 in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.663 * [taylor]: Taking taylor expansion of -1 in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.691 * * * [progress]: simplifying candidates 1.692 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) 1.0)) (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 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))))) 1.698 * * [simplify]: iteration 0 : 430 enodes (cost 681 ) 1.706 * * [simplify]: iteration 1 : 1662 enodes (cost 625 ) 1.734 * * [simplify]: iteration 2 : 5001 enodes (cost 623 ) 1.738 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (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 (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (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)))))) 1.738 * * * [progress]: adding candidates to table 2.070 * * [progress]: iteration 3 / 4 2.070 * * * [progress]: picking best candidate 2.080 * * * * [pick]: Picked # 2.080 * * * [progress]: localizing error 2.094 * * * [progress]: generating rewritten candidates 2.094 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.095 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.096 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.099 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 2.102 * * * [progress]: generating series expansions 2.103 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.107 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.107 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.107 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.107 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.107 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.107 * [taylor]: Taking taylor expansion of 0.5 in x 2.107 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.107 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.107 * [taylor]: Taking taylor expansion of 1.0 in x 2.107 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.107 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.107 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.107 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.107 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.107 * [taylor]: Taking taylor expansion of 1.0 in x 2.107 * [taylor]: Taking taylor expansion of 1.0 in x 2.107 * [taylor]: Taking taylor expansion of (* x x) in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.110 * [taylor]: Taking taylor expansion of 1.0 in x 2.110 * [taylor]: Taking taylor expansion of 1.0 in x 2.110 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.110 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.111 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.111 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.111 * [taylor]: Taking taylor expansion of 0.5 in x 2.111 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.111 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.111 * [taylor]: Taking taylor expansion of 1.0 in x 2.111 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.111 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.111 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.111 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.111 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.111 * [taylor]: Taking taylor expansion of 1.0 in x 2.111 * [taylor]: Taking taylor expansion of 1.0 in x 2.111 * [taylor]: Taking taylor expansion of (* x x) in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.114 * [taylor]: Taking taylor expansion of 1.0 in x 2.114 * [taylor]: Taking taylor expansion of 1.0 in x 2.204 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.204 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.204 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.204 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.204 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.204 * [taylor]: Taking taylor expansion of 0.5 in x 2.204 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.204 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.204 * [taylor]: Taking taylor expansion of 1.0 in x 2.204 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.204 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.204 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.204 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.204 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.204 * [taylor]: Taking taylor expansion of 1.0 in x 2.204 * [taylor]: Taking taylor expansion of 1.0 in x 2.204 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.205 * [taylor]: Taking taylor expansion of x in x 2.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.205 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of 1.0 in x 2.208 * [taylor]: Taking taylor expansion of 1.0 in x 2.208 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.208 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.208 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.208 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.208 * [taylor]: Taking taylor expansion of 0.5 in x 2.208 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.208 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.208 * [taylor]: Taking taylor expansion of 1.0 in x 2.208 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.208 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.208 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.208 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.208 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.208 * [taylor]: Taking taylor expansion of 1.0 in x 2.208 * [taylor]: Taking taylor expansion of 1.0 in x 2.208 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.209 * [taylor]: Taking taylor expansion of x in x 2.211 * [taylor]: Taking taylor expansion of 1.0 in x 2.211 * [taylor]: Taking taylor expansion of 1.0 in x 2.229 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.229 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.229 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.229 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.229 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.229 * [taylor]: Taking taylor expansion of 0.5 in x 2.229 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.229 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.229 * [taylor]: Taking taylor expansion of 1.0 in x 2.229 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.229 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.229 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.230 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.230 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.230 * [taylor]: Taking taylor expansion of 1.0 in x 2.230 * [taylor]: Taking taylor expansion of 1.0 in x 2.230 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.230 * [taylor]: Taking taylor expansion of -1 in x 2.230 * [taylor]: Taking taylor expansion of x in x 2.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.230 * [taylor]: Taking taylor expansion of -1 in x 2.230 * [taylor]: Taking taylor expansion of x in x 2.233 * [taylor]: Taking taylor expansion of 1.0 in x 2.233 * [taylor]: Taking taylor expansion of 1.0 in x 2.233 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.233 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.233 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.233 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.233 * [taylor]: Taking taylor expansion of 0.5 in x 2.233 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.233 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.233 * [taylor]: Taking taylor expansion of 1.0 in x 2.233 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.233 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.233 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.233 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.233 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.233 * [taylor]: Taking taylor expansion of 1.0 in x 2.233 * [taylor]: Taking taylor expansion of 1.0 in x 2.233 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.233 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.234 * [taylor]: Taking taylor expansion of -1 in x 2.234 * [taylor]: Taking taylor expansion of x in x 2.234 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.234 * [taylor]: Taking taylor expansion of -1 in x 2.234 * [taylor]: Taking taylor expansion of x in x 2.237 * [taylor]: Taking taylor expansion of 1.0 in x 2.237 * [taylor]: Taking taylor expansion of 1.0 in x 2.254 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.255 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.255 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.255 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.255 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.255 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.255 * [taylor]: Taking taylor expansion of 0.5 in x 2.255 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.255 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 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 x)) in x 2.255 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.255 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.255 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x 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 2.256 * [taylor]: Taking taylor expansion of 1.0 in x 2.256 * [taylor]: Taking taylor expansion of (* x x) in x 2.256 * [taylor]: Taking taylor expansion of x in x 2.256 * [taylor]: Taking taylor expansion of x in x 2.258 * [taylor]: Taking taylor expansion of 1.0 in x 2.258 * [taylor]: Taking taylor expansion of 1.0 in x 2.258 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.259 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.259 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.259 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.259 * [taylor]: Taking taylor expansion of 0.5 in x 2.259 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.259 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.259 * [taylor]: Taking taylor expansion of 1.0 in x 2.259 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.259 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.259 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.259 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.259 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.259 * [taylor]: Taking taylor expansion of 1.0 in x 2.259 * [taylor]: Taking taylor expansion of 1.0 in x 2.259 * [taylor]: Taking taylor expansion of (* x x) in x 2.259 * [taylor]: Taking taylor expansion of x in x 2.259 * [taylor]: Taking taylor expansion of x in x 2.262 * [taylor]: Taking taylor expansion of 1.0 in x 2.262 * [taylor]: Taking taylor expansion of 1.0 in x 2.357 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.357 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.357 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.357 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.357 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.357 * [taylor]: Taking taylor expansion of 0.5 in x 2.358 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.358 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.358 * [taylor]: Taking taylor expansion of 1.0 in x 2.358 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.358 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.358 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.358 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.358 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.358 * [taylor]: Taking taylor expansion of 1.0 in x 2.358 * [taylor]: Taking taylor expansion of 1.0 in x 2.358 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.361 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.361 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.361 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.361 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.361 * [taylor]: Taking taylor expansion of 0.5 in x 2.361 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.361 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.361 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.361 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.361 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.361 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.361 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.361 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of 1.0 in x 2.365 * [taylor]: Taking taylor expansion of 1.0 in x 2.382 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.382 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.382 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.382 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.382 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.382 * [taylor]: Taking taylor expansion of 0.5 in x 2.382 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.382 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.382 * [taylor]: Taking taylor expansion of 1.0 in x 2.382 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.382 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.382 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.382 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.383 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.383 * [taylor]: Taking taylor expansion of 1.0 in x 2.383 * [taylor]: Taking taylor expansion of 1.0 in x 2.383 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.383 * [taylor]: Taking taylor expansion of -1 in x 2.383 * [taylor]: Taking taylor expansion of x in x 2.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.383 * [taylor]: Taking taylor expansion of -1 in x 2.383 * [taylor]: Taking taylor expansion of x in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.386 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.386 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.386 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.386 * [taylor]: Taking taylor expansion of 0.5 in x 2.386 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.386 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.386 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.386 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.386 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.386 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.386 * [taylor]: Taking taylor expansion of -1 in x 2.386 * [taylor]: Taking taylor expansion of x in x 2.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.387 * [taylor]: Taking taylor expansion of -1 in x 2.387 * [taylor]: Taking taylor expansion of x in x 2.390 * [taylor]: Taking taylor expansion of 1.0 in x 2.390 * [taylor]: Taking taylor expansion of 1.0 in x 2.407 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.407 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 2.407 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.407 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.407 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.407 * [taylor]: Taking taylor expansion of 0.5 in x 2.408 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.408 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.408 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.408 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.408 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.408 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.408 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.408 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.408 * [taylor]: Taking taylor expansion of (* x x) in x 2.408 * [taylor]: Taking taylor expansion of x in x 2.408 * [taylor]: Taking taylor expansion of x in x 2.411 * [taylor]: Taking taylor expansion of 1.0 in x 2.416 * [taylor]: Taking taylor expansion of 1.0 in x 2.416 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.416 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.416 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.416 * [taylor]: Taking taylor expansion of 0.5 in x 2.417 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.417 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.417 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.417 * [taylor]: Taking taylor expansion of 1.0 in x 2.417 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.417 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.417 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.417 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.417 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.417 * [taylor]: Taking taylor expansion of 1.0 in x 2.417 * [taylor]: Taking taylor expansion of 1.0 in x 2.417 * [taylor]: Taking taylor expansion of (* x x) in x 2.417 * [taylor]: Taking taylor expansion of x in x 2.418 * [taylor]: Taking taylor expansion of x in x 2.420 * [taylor]: Taking taylor expansion of 1.0 in x 2.426 * [taylor]: Taking taylor expansion of 1.0 in x 2.633 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 2.633 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.633 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.633 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.633 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.633 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.633 * [taylor]: Taking taylor expansion of 1.0 in x 2.633 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.633 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.633 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.633 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.633 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.633 * [taylor]: Taking taylor expansion of 1.0 in x 2.633 * [taylor]: Taking taylor expansion of 1.0 in x 2.633 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.633 * [taylor]: Taking taylor expansion of x in x 2.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.633 * [taylor]: Taking taylor expansion of x in x 2.636 * [taylor]: Taking taylor expansion of 1.0 in x 2.638 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.639 * [taylor]: Taking taylor expansion of 0.5 in x 2.639 * [taylor]: Taking taylor expansion of 1.0 in x 2.639 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.639 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.639 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.639 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.639 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.639 * [taylor]: Taking taylor expansion of 1.0 in x 2.639 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.640 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.640 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.640 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.640 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.640 * [taylor]: Taking taylor expansion of 1.0 in x 2.640 * [taylor]: Taking taylor expansion of 1.0 in x 2.640 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.640 * [taylor]: Taking taylor expansion of x in x 2.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.640 * [taylor]: Taking taylor expansion of x in x 2.643 * [taylor]: Taking taylor expansion of 1.0 in x 2.645 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.646 * [taylor]: Taking taylor expansion of 0.5 in x 2.646 * [taylor]: Taking taylor expansion of 1.0 in x 2.683 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 2.683 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.683 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.683 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.683 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.683 * [taylor]: Taking taylor expansion of 1.0 in x 2.683 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.683 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.683 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.683 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.683 * [taylor]: Taking taylor expansion of 1.0 in x 2.683 * [taylor]: Taking taylor expansion of 1.0 in x 2.683 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.683 * [taylor]: Taking taylor expansion of -1 in x 2.683 * [taylor]: Taking taylor expansion of x in x 2.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.684 * [taylor]: Taking taylor expansion of -1 in x 2.684 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of 1.0 in x 2.689 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.689 * [taylor]: Taking taylor expansion of 0.5 in x 2.689 * [taylor]: Taking taylor expansion of 1.0 in x 2.689 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.689 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.689 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.689 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.689 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.689 * [taylor]: Taking taylor expansion of 1.0 in x 2.689 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.689 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.690 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.690 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.690 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.690 * [taylor]: Taking taylor expansion of 1.0 in x 2.690 * [taylor]: Taking taylor expansion of 1.0 in x 2.690 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.690 * [taylor]: Taking taylor expansion of -1 in x 2.690 * [taylor]: Taking taylor expansion of x in x 2.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.690 * [taylor]: Taking taylor expansion of -1 in x 2.690 * [taylor]: Taking taylor expansion of x in x 2.693 * [taylor]: Taking taylor expansion of 1.0 in x 2.695 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.695 * [taylor]: Taking taylor expansion of 0.5 in x 2.696 * [taylor]: Taking taylor expansion of 1.0 in x 2.724 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 2.725 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.725 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.725 * [taylor]: Taking taylor expansion of 1.0 in x 2.725 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.725 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.725 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.725 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.725 * [taylor]: Taking taylor expansion of 1.0 in x 2.725 * [taylor]: Taking taylor expansion of 1.0 in x 2.725 * [taylor]: Taking taylor expansion of (* x x) in x 2.725 * [taylor]: Taking taylor expansion of x in x 2.725 * [taylor]: Taking taylor expansion of x in x 2.728 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.728 * [taylor]: Taking taylor expansion of 1.0 in x 2.728 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.728 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.728 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.728 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.728 * [taylor]: Taking taylor expansion of 1.0 in x 2.728 * [taylor]: Taking taylor expansion of 1.0 in x 2.728 * [taylor]: Taking taylor expansion of (* x x) in x 2.728 * [taylor]: Taking taylor expansion of x in x 2.728 * [taylor]: Taking taylor expansion of x in x 2.774 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.774 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.774 * [taylor]: Taking taylor expansion of 1.0 in x 2.774 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.774 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.774 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.774 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.774 * [taylor]: Taking taylor expansion of 1.0 in x 2.774 * [taylor]: Taking taylor expansion of 1.0 in x 2.774 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.774 * [taylor]: Taking taylor expansion of x in x 2.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.775 * [taylor]: Taking taylor expansion of x in x 2.778 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.778 * [taylor]: Taking taylor expansion of 1.0 in x 2.778 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.778 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.778 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.778 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.778 * [taylor]: Taking taylor expansion of 1.0 in x 2.778 * [taylor]: Taking taylor expansion of 1.0 in x 2.778 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.778 * [taylor]: Taking taylor expansion of x in x 2.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.778 * [taylor]: Taking taylor expansion of x in x 2.799 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.799 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.799 * [taylor]: Taking taylor expansion of 1.0 in x 2.799 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.800 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.800 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.800 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.800 * [taylor]: Taking taylor expansion of 1.0 in x 2.800 * [taylor]: Taking taylor expansion of 1.0 in x 2.800 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.800 * [taylor]: Taking taylor expansion of -1 in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.800 * [taylor]: Taking taylor expansion of -1 in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.803 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.803 * [taylor]: Taking taylor expansion of 1.0 in x 2.803 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.803 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.803 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.803 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.803 * [taylor]: Taking taylor expansion of 1.0 in x 2.803 * [taylor]: Taking taylor expansion of 1.0 in x 2.803 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.803 * [taylor]: Taking taylor expansion of -1 in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.804 * [taylor]: Taking taylor expansion of -1 in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.825 * * * [progress]: simplifying candidates 2.827 * [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 (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (exp (* 1.0 1.0))) (log (* (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log 1) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (* (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)))))) (log (exp (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp 1)) (log (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) 1.0)) (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 2.833 * * [simplify]: iteration 0 : 466 enodes (cost 707 ) 2.840 * * [simplify]: iteration 1 : 1745 enodes (cost 637 ) 2.867 * * [simplify]: iteration 2 : 5001 enodes (cost 636 ) 2.871 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (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)))) (* 1.0 1.0) (* 2 (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 0 (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))))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 2.871 * * * [progress]: adding candidates to table 3.198 * * [progress]: iteration 4 / 4 3.198 * * * [progress]: picking best candidate 3.208 * * * * [pick]: Picked # 3.209 * * * [progress]: localizing error 3.232 * * * [progress]: generating rewritten candidates 3.232 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 3.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.234 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 3.236 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 3.240 * * * [progress]: generating series expansions 3.240 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 3.241 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.241 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.241 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.241 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.241 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.241 * [taylor]: Taking taylor expansion of 0.5 in x 3.241 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.241 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.241 * [taylor]: Taking taylor expansion of 1.0 in x 3.241 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.241 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.241 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.241 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.241 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.241 * [taylor]: Taking taylor expansion of 1.0 in x 3.241 * [taylor]: Taking taylor expansion of 1.0 in x 3.241 * [taylor]: Taking taylor expansion of (* x x) in x 3.241 * [taylor]: Taking taylor expansion of x in x 3.241 * [taylor]: Taking taylor expansion of x in x 3.244 * [taylor]: Taking taylor expansion of 1.0 in x 3.244 * [taylor]: Taking taylor expansion of 1.0 in x 3.244 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.244 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.244 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.244 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.244 * [taylor]: Taking taylor expansion of 0.5 in x 3.244 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.245 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.245 * [taylor]: Taking taylor expansion of 1.0 in x 3.245 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.245 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.245 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.245 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.245 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.245 * [taylor]: Taking taylor expansion of 1.0 in x 3.245 * [taylor]: Taking taylor expansion of 1.0 in x 3.245 * [taylor]: Taking taylor expansion of (* x x) in x 3.245 * [taylor]: Taking taylor expansion of x in x 3.245 * [taylor]: Taking taylor expansion of x in x 3.248 * [taylor]: Taking taylor expansion of 1.0 in x 3.248 * [taylor]: Taking taylor expansion of 1.0 in x 3.338 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.338 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.338 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.339 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.339 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.339 * [taylor]: Taking taylor expansion of 0.5 in x 3.339 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.339 * [taylor]: Taking taylor expansion of 1.0 in x 3.339 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.339 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.339 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.339 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.339 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.339 * [taylor]: Taking taylor expansion of 1.0 in x 3.339 * [taylor]: Taking taylor expansion of 1.0 in x 3.339 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.339 * [taylor]: Taking taylor expansion of x in x 3.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.339 * [taylor]: Taking taylor expansion of x in x 3.342 * [taylor]: Taking taylor expansion of 1.0 in x 3.342 * [taylor]: Taking taylor expansion of 1.0 in x 3.342 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.342 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.342 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.342 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.342 * [taylor]: Taking taylor expansion of 0.5 in x 3.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.342 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.342 * [taylor]: Taking taylor expansion of 1.0 in x 3.342 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.342 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.342 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.342 * [taylor]: Taking taylor expansion of 1.0 in x 3.343 * [taylor]: Taking taylor expansion of 1.0 in x 3.343 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.343 * [taylor]: Taking taylor expansion of x in x 3.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.343 * [taylor]: Taking taylor expansion of x in x 3.346 * [taylor]: Taking taylor expansion of 1.0 in x 3.346 * [taylor]: Taking taylor expansion of 1.0 in x 3.363 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.363 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.364 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.364 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.364 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.364 * [taylor]: Taking taylor expansion of 0.5 in x 3.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.364 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.364 * [taylor]: Taking taylor expansion of 1.0 in x 3.364 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.364 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.364 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.364 * [taylor]: Taking taylor expansion of 1.0 in x 3.364 * [taylor]: Taking taylor expansion of 1.0 in x 3.364 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.364 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.364 * [taylor]: Taking taylor expansion of -1 in x 3.364 * [taylor]: Taking taylor expansion of x in x 3.364 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.364 * [taylor]: Taking taylor expansion of -1 in x 3.364 * [taylor]: Taking taylor expansion of x in x 3.367 * [taylor]: Taking taylor expansion of 1.0 in x 3.367 * [taylor]: Taking taylor expansion of 1.0 in x 3.367 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.368 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.368 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.368 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.368 * [taylor]: Taking taylor expansion of 0.5 in x 3.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.368 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.368 * [taylor]: Taking taylor expansion of 1.0 in x 3.368 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.368 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.368 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.368 * [taylor]: Taking taylor expansion of 1.0 in x 3.368 * [taylor]: Taking taylor expansion of 1.0 in x 3.368 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.368 * [taylor]: Taking taylor expansion of -1 in x 3.368 * [taylor]: Taking taylor expansion of x in x 3.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.368 * [taylor]: Taking taylor expansion of -1 in x 3.368 * [taylor]: Taking taylor expansion of x in x 3.371 * [taylor]: Taking taylor expansion of 1.0 in x 3.371 * [taylor]: Taking taylor expansion of 1.0 in x 3.395 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.396 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 3.396 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.396 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.396 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.396 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.396 * [taylor]: Taking taylor expansion of 0.5 in x 3.396 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.396 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.396 * [taylor]: Taking taylor expansion of 1.0 in x 3.396 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.396 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.396 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.396 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.396 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.396 * [taylor]: Taking taylor expansion of 1.0 in x 3.396 * [taylor]: Taking taylor expansion of 1.0 in x 3.396 * [taylor]: Taking taylor expansion of (* x x) in x 3.396 * [taylor]: Taking taylor expansion of x in x 3.396 * [taylor]: Taking taylor expansion of x in x 3.399 * [taylor]: Taking taylor expansion of 1.0 in x 3.399 * [taylor]: Taking taylor expansion of 1.0 in x 3.399 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 3.399 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 3.399 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.399 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.399 * [taylor]: Taking taylor expansion of 0.5 in x 3.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.400 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.400 * [taylor]: Taking taylor expansion of 1.0 in x 3.400 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.400 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.400 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.400 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.400 * [taylor]: Taking taylor expansion of 1.0 in x 3.400 * [taylor]: Taking taylor expansion of 1.0 in x 3.400 * [taylor]: Taking taylor expansion of (* x x) in x 3.400 * [taylor]: Taking taylor expansion of x in x 3.400 * [taylor]: Taking taylor expansion of x in x 3.403 * [taylor]: Taking taylor expansion of 1.0 in x 3.403 * [taylor]: Taking taylor expansion of 1.0 in x 3.491 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 3.492 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.492 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.492 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.492 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.492 * [taylor]: Taking taylor expansion of 0.5 in x 3.492 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.492 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.492 * [taylor]: Taking taylor expansion of 1.0 in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.492 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.492 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.492 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.492 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.492 * [taylor]: Taking taylor expansion of 1.0 in x 3.492 * [taylor]: Taking taylor expansion of 1.0 in x 3.492 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.492 * [taylor]: Taking taylor expansion of x in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.492 * [taylor]: Taking taylor expansion of x in x 3.495 * [taylor]: Taking taylor expansion of 1.0 in x 3.495 * [taylor]: Taking taylor expansion of 1.0 in x 3.495 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 3.495 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 3.495 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.495 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.495 * [taylor]: Taking taylor expansion of 0.5 in x 3.496 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.496 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.496 * [taylor]: Taking taylor expansion of 1.0 in x 3.496 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.496 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.496 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.496 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.496 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.496 * [taylor]: Taking taylor expansion of 1.0 in x 3.496 * [taylor]: Taking taylor expansion of 1.0 in x 3.496 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.496 * [taylor]: Taking taylor expansion of x in x 3.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.496 * [taylor]: Taking taylor expansion of x in x 3.499 * [taylor]: Taking taylor expansion of 1.0 in x 3.499 * [taylor]: Taking taylor expansion of 1.0 in x 3.517 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 3.517 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.517 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.517 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.517 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.517 * [taylor]: Taking taylor expansion of 0.5 in x 3.517 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.517 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.517 * [taylor]: Taking taylor expansion of 1.0 in x 3.517 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.517 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.517 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.517 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.517 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.517 * [taylor]: Taking taylor expansion of 1.0 in x 3.517 * [taylor]: Taking taylor expansion of 1.0 in x 3.517 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.517 * [taylor]: Taking taylor expansion of -1 in x 3.517 * [taylor]: Taking taylor expansion of x in x 3.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.518 * [taylor]: Taking taylor expansion of -1 in x 3.518 * [taylor]: Taking taylor expansion of x in x 3.521 * [taylor]: Taking taylor expansion of 1.0 in x 3.521 * [taylor]: Taking taylor expansion of 1.0 in x 3.521 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 3.521 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 3.521 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.521 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.521 * [taylor]: Taking taylor expansion of 0.5 in x 3.521 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.521 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.521 * [taylor]: Taking taylor expansion of 1.0 in x 3.521 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.521 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.521 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.521 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.521 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.521 * [taylor]: Taking taylor expansion of 1.0 in x 3.521 * [taylor]: Taking taylor expansion of 1.0 in x 3.521 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.521 * [taylor]: Taking taylor expansion of -1 in x 3.521 * [taylor]: Taking taylor expansion of x in x 3.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.522 * [taylor]: Taking taylor expansion of -1 in x 3.522 * [taylor]: Taking taylor expansion of x in x 3.525 * [taylor]: Taking taylor expansion of 1.0 in x 3.525 * [taylor]: Taking taylor expansion of 1.0 in x 3.548 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 3.548 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in (x) around 0 3.548 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 3.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 3.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 3.549 * [taylor]: Taking taylor expansion of 1/3 in x 3.549 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.549 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.549 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.549 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.549 * [taylor]: Taking taylor expansion of 0.5 in x 3.549 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.549 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.549 * [taylor]: Taking taylor expansion of 1.0 in x 3.549 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.549 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.550 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.550 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.550 * [taylor]: Taking taylor expansion of 1.0 in x 3.550 * [taylor]: Taking taylor expansion of 1.0 in x 3.550 * [taylor]: Taking taylor expansion of (* x x) in x 3.550 * [taylor]: Taking taylor expansion of x in x 3.550 * [taylor]: Taking taylor expansion of x in x 3.552 * [taylor]: Taking taylor expansion of 1.0 in x 3.558 * [taylor]: Taking taylor expansion of 1.0 in x 3.580 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 3.580 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 3.580 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 3.580 * [taylor]: Taking taylor expansion of 1/3 in x 3.580 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.580 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.580 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.581 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.581 * [taylor]: Taking taylor expansion of 0.5 in x 3.581 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.581 * [taylor]: Taking taylor expansion of 1.0 in x 3.581 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.581 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.581 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.581 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.581 * [taylor]: Taking taylor expansion of 1.0 in x 3.582 * [taylor]: Taking taylor expansion of 1.0 in x 3.582 * [taylor]: Taking taylor expansion of (* x x) in x 3.582 * [taylor]: Taking taylor expansion of x in x 3.582 * [taylor]: Taking taylor expansion of x in x 3.584 * [taylor]: Taking taylor expansion of 1.0 in x 3.590 * [taylor]: Taking taylor expansion of 1.0 in x 4.321 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 4.321 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 4.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.321 * [taylor]: Taking taylor expansion of 1/3 in x 4.321 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.321 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.321 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.321 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.321 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.321 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.321 * [taylor]: Taking taylor expansion of 1.0 in x 4.321 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.321 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.321 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.321 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.321 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.321 * [taylor]: Taking taylor expansion of 1.0 in x 4.321 * [taylor]: Taking taylor expansion of 1.0 in x 4.321 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.321 * [taylor]: Taking taylor expansion of x in x 4.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.322 * [taylor]: Taking taylor expansion of x in x 4.325 * [taylor]: Taking taylor expansion of 1.0 in x 4.333 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.333 * [taylor]: Taking taylor expansion of 0.5 in x 4.334 * [taylor]: Taking taylor expansion of 1.0 in x 4.343 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 4.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.343 * [taylor]: Taking taylor expansion of 1/3 in x 4.343 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.343 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.343 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.344 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.344 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.344 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.344 * [taylor]: Taking taylor expansion of 1.0 in x 4.344 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.344 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.344 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.344 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.344 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.344 * [taylor]: Taking taylor expansion of 1.0 in x 4.344 * [taylor]: Taking taylor expansion of 1.0 in x 4.344 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.344 * [taylor]: Taking taylor expansion of x in x 4.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.344 * [taylor]: Taking taylor expansion of x in x 4.347 * [taylor]: Taking taylor expansion of 1.0 in x 4.349 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.349 * [taylor]: Taking taylor expansion of 0.5 in x 4.350 * [taylor]: Taking taylor expansion of 1.0 in x 4.552 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 4.552 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 4.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.552 * [taylor]: Taking taylor expansion of 1/3 in x 4.552 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.552 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.552 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.552 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.552 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.552 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.552 * [taylor]: Taking taylor expansion of 1.0 in x 4.552 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.552 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.552 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.553 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.553 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.553 * [taylor]: Taking taylor expansion of 1.0 in x 4.553 * [taylor]: Taking taylor expansion of 1.0 in x 4.553 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.553 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.553 * [taylor]: Taking taylor expansion of -1 in x 4.553 * [taylor]: Taking taylor expansion of x in x 4.553 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.553 * [taylor]: Taking taylor expansion of -1 in x 4.553 * [taylor]: Taking taylor expansion of x in x 4.556 * [taylor]: Taking taylor expansion of 1.0 in x 4.558 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.558 * [taylor]: Taking taylor expansion of 0.5 in x 4.559 * [taylor]: Taking taylor expansion of 1.0 in x 4.568 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 4.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.568 * [taylor]: Taking taylor expansion of 1/3 in x 4.568 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.568 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.568 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.568 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.568 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.568 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.568 * [taylor]: Taking taylor expansion of 1.0 in x 4.568 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.568 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.569 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.569 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.569 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.569 * [taylor]: Taking taylor expansion of 1.0 in x 4.569 * [taylor]: Taking taylor expansion of 1.0 in x 4.569 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.569 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.569 * [taylor]: Taking taylor expansion of -1 in x 4.569 * [taylor]: Taking taylor expansion of x in x 4.569 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.569 * [taylor]: Taking taylor expansion of -1 in x 4.569 * [taylor]: Taking taylor expansion of x in x 4.572 * [taylor]: Taking taylor expansion of 1.0 in x 4.574 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.574 * [taylor]: Taking taylor expansion of 0.5 in x 4.575 * [taylor]: Taking taylor expansion of 1.0 in x 4.783 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 4.783 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in (x) around 0 4.783 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 4.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 4.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 4.783 * [taylor]: Taking taylor expansion of 1/3 in x 4.783 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 4.783 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.783 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.783 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.783 * [taylor]: Taking taylor expansion of 0.5 in x 4.784 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.784 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.784 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.784 * [taylor]: Taking taylor expansion of 1.0 in x 4.784 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.784 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.784 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.784 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.784 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.784 * [taylor]: Taking taylor expansion of 1.0 in x 4.784 * [taylor]: Taking taylor expansion of 1.0 in x 4.784 * [taylor]: Taking taylor expansion of (* x x) in x 4.784 * [taylor]: Taking taylor expansion of x in x 4.784 * [taylor]: Taking taylor expansion of x in x 4.787 * [taylor]: Taking taylor expansion of 1.0 in x 4.793 * [taylor]: Taking taylor expansion of 1.0 in x 4.815 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 4.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 4.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 4.815 * [taylor]: Taking taylor expansion of 1/3 in x 4.815 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 4.815 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.815 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.815 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.815 * [taylor]: Taking taylor expansion of 0.5 in x 4.816 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.816 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.816 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.816 * [taylor]: Taking taylor expansion of 1.0 in x 4.816 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.816 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.816 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.816 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.816 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.816 * [taylor]: Taking taylor expansion of 1.0 in x 4.816 * [taylor]: Taking taylor expansion of 1.0 in x 4.816 * [taylor]: Taking taylor expansion of (* x x) in x 4.816 * [taylor]: Taking taylor expansion of x in x 4.816 * [taylor]: Taking taylor expansion of x in x 4.819 * [taylor]: Taking taylor expansion of 1.0 in x 4.831 * [taylor]: Taking taylor expansion of 1.0 in x 5.554 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 5.554 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 5.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 5.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 5.554 * [taylor]: Taking taylor expansion of 1/3 in x 5.554 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.554 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.554 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.554 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.554 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.554 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.554 * [taylor]: Taking taylor expansion of 1.0 in x 5.554 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.554 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.554 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.554 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.554 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.554 * [taylor]: Taking taylor expansion of 1.0 in x 5.554 * [taylor]: Taking taylor expansion of 1.0 in x 5.554 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.554 * [taylor]: Taking taylor expansion of x in x 5.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.555 * [taylor]: Taking taylor expansion of x in x 5.558 * [taylor]: Taking taylor expansion of 1.0 in x 5.559 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.560 * [taylor]: Taking taylor expansion of 0.5 in x 5.560 * [taylor]: Taking taylor expansion of 1.0 in x 5.569 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 5.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 5.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 5.569 * [taylor]: Taking taylor expansion of 1/3 in x 5.569 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.569 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.569 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 5.569 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 5.569 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 5.569 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 5.569 * [taylor]: Taking taylor expansion of 1.0 in x 5.569 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 5.569 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.570 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.570 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.570 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.570 * [taylor]: Taking taylor expansion of 1.0 in x 5.570 * [taylor]: Taking taylor expansion of 1.0 in x 5.570 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.570 * [taylor]: Taking taylor expansion of x in x 5.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.570 * [taylor]: Taking taylor expansion of x in x 5.573 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.575 * [taylor]: Taking taylor expansion of 0.5 in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.782 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 5.782 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 5.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 5.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 5.782 * [taylor]: Taking taylor expansion of 1/3 in x 5.782 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.782 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.782 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.782 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.782 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.782 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.782 * [taylor]: Taking taylor expansion of 1.0 in x 5.782 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.782 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.782 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.782 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.782 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.782 * [taylor]: Taking taylor expansion of 1.0 in x 5.782 * [taylor]: Taking taylor expansion of 1.0 in x 5.782 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.782 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.783 * [taylor]: Taking taylor expansion of -1 in x 5.783 * [taylor]: Taking taylor expansion of x in x 5.783 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.783 * [taylor]: Taking taylor expansion of -1 in x 5.783 * [taylor]: Taking taylor expansion of x in x 5.786 * [taylor]: Taking taylor expansion of 1.0 in x 5.788 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.788 * [taylor]: Taking taylor expansion of 0.5 in x 5.788 * [taylor]: Taking taylor expansion of 1.0 in x 5.797 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 5.797 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 5.797 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 5.798 * [taylor]: Taking taylor expansion of 1/3 in x 5.798 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 5.798 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 5.798 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 5.798 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 5.798 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 5.798 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 5.798 * [taylor]: Taking taylor expansion of 1.0 in x 5.798 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 5.798 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.798 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.798 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.798 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.798 * [taylor]: Taking taylor expansion of 1.0 in x 5.798 * [taylor]: Taking taylor expansion of 1.0 in x 5.798 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.798 * [taylor]: Taking taylor expansion of -1 in x 5.798 * [taylor]: Taking taylor expansion of x in x 5.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.799 * [taylor]: Taking taylor expansion of -1 in x 5.799 * [taylor]: Taking taylor expansion of x in x 5.801 * [taylor]: Taking taylor expansion of 1.0 in x 5.803 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.803 * [taylor]: Taking taylor expansion of 0.5 in x 5.804 * [taylor]: Taking taylor expansion of 1.0 in x 6.001 * * * [progress]: simplifying candidates 6.003 * [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 (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (exp (* 1.0 1.0))) (log (* (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log 1) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (* (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)))))) (log (exp (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp 1)) (log (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 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(* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.08333333333333333 (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) (- (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (+ (* 0.041666666666666664 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)))) (fma (* 0.0625 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (- (cbrt (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) (fma (* 0.006944444444444444 (* (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow (sqrt 0.5) 2) (pow (sqrt 1.0) 6)))) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)) 1/3) (fma 0.010416666666666666 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.08333333333333333 (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) (- (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (+ (* 0.041666666666666664 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)))) 6.061 * * * [progress]: adding candidates to table 6.439 * [progress]: [Phase 3 of 3] Extracting. 6.439 * * [regime]: Finding splitpoints for: (# # # # #) 6.442 * * * [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) 6.442 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # #) 6.479 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 6.497 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # #) 6.535 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 6.554 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # #) 6.589 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 6.607 * * * * [regimes]: Trying to branch on x from (# # # # #) 6.650 * * * [regime]: Found split indices: #