17.077 * [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 ) 0.037 * * [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 ) 0.041 * * [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 0.045 * * * * [pick]: Picked # 0.045 * * * [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) 0.060 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.067 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.075 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.075 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.076 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.076 * [taylor]: Taking taylor expansion of 0.5 in x 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.077 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.077 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.077 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.077 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.077 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (* x x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.086 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.086 * [taylor]: Taking taylor expansion of 0.5 in x 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.091 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.092 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.092 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.092 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.092 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (* x x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [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 0.340 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.340 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.340 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.340 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.340 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.345 * [taylor]: Taking taylor expansion of 0.5 in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.346 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.346 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.352 * [taylor]: Taking taylor expansion of 0.5 in x 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.388 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.388 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.388 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.388 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.388 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.388 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.394 * [taylor]: Taking taylor expansion of 0.5 in x 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.394 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.395 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.395 * [taylor]: Taking taylor expansion of -1 in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.395 * [taylor]: Taking taylor expansion of -1 in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.400 * [taylor]: Taking taylor expansion of 0.5 in x 0.441 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.441 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.441 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.441 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (* x x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.444 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.444 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (* x x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.483 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.484 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.484 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.484 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.484 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [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 0.516 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.516 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.516 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.516 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.519 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.519 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.519 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.519 * [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 -1 in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.520 * [taylor]: Taking taylor expansion of -1 in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.542 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.542 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.542 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.542 * [taylor]: Taking taylor expansion of 0.5 in x 0.543 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.543 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.543 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.543 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.543 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.543 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (* x x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.552 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.552 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.552 * [taylor]: Taking taylor expansion of 0.5 in x 0.552 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.552 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.553 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.553 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.553 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.553 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.553 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.553 * [taylor]: Taking taylor expansion of (* x x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.729 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.730 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.730 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.730 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.730 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.730 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.742 * [taylor]: Taking taylor expansion of 0.5 in x 0.742 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.742 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.742 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.742 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.743 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.743 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.743 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.748 * [taylor]: Taking taylor expansion of 0.5 in x 0.770 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.770 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.770 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.770 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.770 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.770 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.770 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.770 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.770 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.770 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.770 * [taylor]: Taking taylor expansion of -1 in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.771 * [taylor]: Taking taylor expansion of -1 in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of 1.0 in x 0.776 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.776 * [taylor]: Taking taylor expansion of 0.5 in x 0.776 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.776 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.776 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.777 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.777 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.777 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.777 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.777 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.777 * [taylor]: Taking taylor expansion of -1 in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.777 * [taylor]: Taking taylor expansion of -1 in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of 1.0 in x 0.782 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.782 * [taylor]: Taking taylor expansion of 0.5 in x 0.804 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.805 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.805 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.805 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.805 * [taylor]: Taking taylor expansion of 1.0 in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.805 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.805 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.805 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.805 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.805 * [taylor]: Taking taylor expansion of 1.0 in x 0.805 * [taylor]: Taking taylor expansion of 1.0 in x 0.805 * [taylor]: Taking taylor expansion of (* x x) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.808 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.808 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.808 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.808 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.808 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [taylor]: Taking taylor expansion of (* x x) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.872 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.872 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.872 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.872 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.872 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.872 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.876 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.876 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.876 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.876 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.876 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.889 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.889 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.889 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.889 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.889 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.889 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.889 * [taylor]: Taking taylor expansion of -1 in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.890 * [taylor]: Taking taylor expansion of -1 in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.893 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.893 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.893 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.893 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.893 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.893 * [taylor]: Taking taylor expansion of -1 in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.893 * [taylor]: Taking taylor expansion of -1 in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * * * [progress]: simplifying candidates 0.914 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (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))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) (- (+ (* 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))) 0.922 * * [simplify]: iteration 0 : 533 enodes (cost 1129 ) 0.931 * * [simplify]: iteration 1 : 2036 enodes (cost 878 ) 0.965 * * [simplify]: iteration 2 : 5001 enodes (cost 876 ) 0.970 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (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 (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (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)) 0.970 * * * [progress]: adding candidates to table 1.200 * * [progress]: iteration 2 / 4 1.200 * * * [progress]: picking best candidate 1.208 * * * * [pick]: Picked # 1.208 * * * [progress]: localizing error 1.221 * * * [progress]: generating rewritten candidates 1.221 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.221 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.225 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.232 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.238 * * * [progress]: generating series expansions 1.238 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.239 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.239 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.239 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.239 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.239 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.239 * [taylor]: Taking taylor expansion of 0.5 in x 1.239 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.239 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.239 * [taylor]: Taking taylor expansion of 1.0 in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.239 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.239 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.239 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.239 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.239 * [taylor]: Taking taylor expansion of 1.0 in x 1.240 * [taylor]: Taking taylor expansion of 1.0 in x 1.240 * [taylor]: Taking taylor expansion of (* x x) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.243 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.243 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.243 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.243 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.243 * [taylor]: Taking taylor expansion of 0.5 in x 1.243 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.243 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.243 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.243 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.243 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.243 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.243 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.243 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [taylor]: Taking taylor expansion of (* x x) in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.339 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.339 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.339 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.339 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.339 * [taylor]: Taking taylor expansion of 0.5 in x 1.339 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.339 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.339 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.339 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.339 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.340 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.343 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.343 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.343 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.343 * [taylor]: Taking taylor expansion of 0.5 in x 1.343 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.343 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.344 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.344 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.344 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.344 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.365 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.365 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.365 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.365 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.365 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.365 * [taylor]: Taking taylor expansion of 0.5 in x 1.365 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.365 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.365 * [taylor]: Taking taylor expansion of 1.0 in x 1.365 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.365 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.366 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.366 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.366 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.366 * [taylor]: Taking taylor expansion of -1 in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.366 * [taylor]: Taking taylor expansion of -1 in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.369 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.369 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.369 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.369 * [taylor]: Taking taylor expansion of 0.5 in x 1.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.369 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.369 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.370 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.370 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.370 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.370 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.370 * [taylor]: Taking taylor expansion of -1 in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.370 * [taylor]: Taking taylor expansion of -1 in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of 1.0 in x 1.373 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.391 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.391 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.391 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.392 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.392 * [taylor]: Taking taylor expansion of 0.5 in x 1.392 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.392 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.392 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.392 * [taylor]: Taking taylor expansion of 1.0 in x 1.392 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.392 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.392 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.393 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.393 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (* x x) in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of 1.0 in x 1.409 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.409 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.409 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.409 * [taylor]: Taking taylor expansion of 0.5 in x 1.409 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.409 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.409 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.409 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.410 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.410 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.410 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.410 * [taylor]: Taking taylor expansion of 1.0 in x 1.410 * [taylor]: Taking taylor expansion of 1.0 in x 1.410 * [taylor]: Taking taylor expansion of (* x x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.620 * [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 1.620 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.620 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.620 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.620 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.620 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.620 * [taylor]: Taking taylor expansion of 1.0 in x 1.620 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.620 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.620 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.620 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.620 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.620 * [taylor]: Taking taylor expansion of 1.0 in x 1.620 * [taylor]: Taking taylor expansion of 1.0 in x 1.620 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.620 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.624 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.626 * [taylor]: Taking taylor expansion of 0.5 in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.626 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.626 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.626 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.626 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.627 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.627 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.627 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.627 * [taylor]: Taking taylor expansion of 1.0 in x 1.627 * [taylor]: Taking taylor expansion of 1.0 in x 1.627 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of 1.0 in x 1.632 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.632 * [taylor]: Taking taylor expansion of 0.5 in x 1.633 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [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 1.668 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.668 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.668 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.668 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.668 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.668 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.668 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.668 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.668 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.668 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.668 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [taylor]: Taking taylor expansion of 1.0 in x 1.668 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.668 * [taylor]: Taking taylor expansion of -1 in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.668 * [taylor]: Taking taylor expansion of -1 in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.671 * [taylor]: Taking taylor expansion of 1.0 in x 1.673 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.673 * [taylor]: Taking taylor expansion of 0.5 in x 1.674 * [taylor]: Taking taylor expansion of 1.0 in x 1.674 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.674 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.674 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.674 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.674 * [taylor]: Taking taylor expansion of 1.0 in x 1.674 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.674 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.674 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.674 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.674 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.674 * [taylor]: Taking taylor expansion of 1.0 in x 1.674 * [taylor]: Taking taylor expansion of 1.0 in x 1.674 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.674 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.674 * [taylor]: Taking taylor expansion of -1 in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.675 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.675 * [taylor]: Taking taylor expansion of -1 in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of 1.0 in x 1.680 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.680 * [taylor]: Taking taylor expansion of 0.5 in x 1.681 * [taylor]: Taking taylor expansion of 1.0 in x 1.709 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 1.709 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.709 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.709 * [taylor]: Taking taylor expansion of 1.0 in x 1.709 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.710 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.710 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.710 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.710 * [taylor]: Taking taylor expansion of 1.0 in x 1.710 * [taylor]: Taking taylor expansion of 1.0 in x 1.710 * [taylor]: Taking taylor expansion of (* x x) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.713 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.713 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.713 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.713 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [taylor]: Taking taylor expansion of (* x x) in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.758 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.758 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.758 * [taylor]: Taking taylor expansion of 1.0 in x 1.758 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.758 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.758 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.758 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.758 * [taylor]: Taking taylor expansion of 1.0 in x 1.758 * [taylor]: Taking taylor expansion of 1.0 in x 1.758 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.761 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.761 * [taylor]: Taking taylor expansion of 1.0 in x 1.761 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.761 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.761 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.761 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.761 * [taylor]: Taking taylor expansion of 1.0 in x 1.761 * [taylor]: Taking taylor expansion of 1.0 in x 1.761 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.784 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.784 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.784 * [taylor]: Taking taylor expansion of 1.0 in x 1.784 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.784 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.784 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.784 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.784 * [taylor]: Taking taylor expansion of 1.0 in x 1.784 * [taylor]: Taking taylor expansion of 1.0 in x 1.784 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.784 * [taylor]: Taking taylor expansion of -1 in x 1.784 * [taylor]: Taking taylor expansion of x in x 1.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.784 * [taylor]: Taking taylor expansion of -1 in x 1.784 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.787 * [taylor]: Taking taylor expansion of 1.0 in x 1.787 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.787 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.787 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.787 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.787 * [taylor]: Taking taylor expansion of 1.0 in x 1.788 * [taylor]: Taking taylor expansion of 1.0 in x 1.788 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.788 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.788 * [taylor]: Taking taylor expansion of -1 in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.788 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.788 * [taylor]: Taking taylor expansion of -1 in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.816 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 1.816 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.816 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.816 * [taylor]: Taking taylor expansion of 1.0 in x 1.816 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.816 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.816 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.816 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.817 * [taylor]: Taking taylor expansion of 1.0 in x 1.817 * [taylor]: Taking taylor expansion of 1.0 in x 1.817 * [taylor]: Taking taylor expansion of (* x x) in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.819 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.819 * [taylor]: Taking taylor expansion of 1.0 in x 1.819 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.820 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.820 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.820 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [taylor]: Taking taylor expansion of (* x x) in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.858 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.858 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.858 * [taylor]: Taking taylor expansion of 1.0 in x 1.858 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.859 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.859 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.859 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.859 * [taylor]: Taking taylor expansion of 1.0 in x 1.859 * [taylor]: Taking taylor expansion of 1.0 in x 1.859 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.862 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.862 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.862 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.890 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.891 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.891 * [taylor]: Taking taylor expansion of 1.0 in x 1.891 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.891 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.891 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.891 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.891 * [taylor]: Taking taylor expansion of 1.0 in x 1.891 * [taylor]: Taking taylor expansion of 1.0 in x 1.891 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.891 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.891 * [taylor]: Taking taylor expansion of -1 in x 1.891 * [taylor]: Taking taylor expansion of x in x 1.891 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.891 * [taylor]: Taking taylor expansion of -1 in x 1.891 * [taylor]: Taking taylor expansion of x in x 1.894 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.894 * [taylor]: Taking taylor expansion of 1.0 in x 1.894 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.894 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.894 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.894 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.894 * [taylor]: Taking taylor expansion of 1.0 in x 1.894 * [taylor]: Taking taylor expansion of 1.0 in x 1.894 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.895 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.895 * [taylor]: Taking taylor expansion of -1 in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.895 * [taylor]: Taking taylor expansion of -1 in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.917 * * * [progress]: simplifying candidates 1.918 * [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))))) 1.925 * * [simplify]: iteration 0 : 430 enodes (cost 681 ) 1.932 * * [simplify]: iteration 1 : 1662 enodes (cost 625 ) 1.958 * * [simplify]: iteration 2 : 5001 enodes (cost 623 ) 1.963 * [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)))))) 1.963 * * * [progress]: adding candidates to table 2.250 * * [progress]: iteration 3 / 4 2.250 * * * [progress]: picking best candidate 2.263 * * * * [pick]: Picked # 2.263 * * * [progress]: localizing error 2.284 * * * [progress]: generating rewritten candidates 2.284 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.285 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.285 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.286 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.290 * * * [progress]: generating series expansions 2.291 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.292 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.292 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.292 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.292 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.292 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.292 * [taylor]: Taking taylor expansion of 0.5 in x 2.292 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.292 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.292 * [taylor]: Taking taylor expansion of 1.0 in x 2.292 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.292 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.292 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.292 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.292 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.292 * [taylor]: Taking taylor expansion of 1.0 in x 2.292 * [taylor]: Taking taylor expansion of 1.0 in x 2.292 * [taylor]: Taking taylor expansion of (* x x) in x 2.292 * [taylor]: Taking taylor expansion of x in x 2.292 * [taylor]: Taking taylor expansion of x in x 2.295 * [taylor]: Taking taylor expansion of 1.0 in x 2.295 * [taylor]: Taking taylor expansion of 1.0 in x 2.295 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.295 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.295 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.295 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.295 * [taylor]: Taking taylor expansion of 0.5 in x 2.295 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.295 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.295 * [taylor]: Taking taylor expansion of 1.0 in x 2.295 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.295 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.295 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.296 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.296 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.296 * [taylor]: Taking taylor expansion of 1.0 in x 2.296 * [taylor]: Taking taylor expansion of 1.0 in x 2.296 * [taylor]: Taking taylor expansion of (* x x) in x 2.296 * [taylor]: Taking taylor expansion of x in x 2.296 * [taylor]: Taking taylor expansion of x in x 2.298 * [taylor]: Taking taylor expansion of 1.0 in x 2.298 * [taylor]: Taking taylor expansion of 1.0 in x 2.390 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.390 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.391 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.391 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.391 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.391 * [taylor]: Taking taylor expansion of 0.5 in x 2.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.391 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.391 * [taylor]: Taking taylor expansion of 1.0 in x 2.391 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.391 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.391 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.391 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.391 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.391 * [taylor]: Taking taylor expansion of 1.0 in x 2.391 * [taylor]: Taking taylor expansion of 1.0 in x 2.391 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.391 * [taylor]: Taking taylor expansion of x in x 2.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.392 * [taylor]: Taking taylor expansion of x in x 2.394 * [taylor]: Taking taylor expansion of 1.0 in x 2.395 * [taylor]: Taking taylor expansion of 1.0 in x 2.395 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.395 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.395 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.395 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.395 * [taylor]: Taking taylor expansion of 0.5 in x 2.395 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.395 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.395 * [taylor]: Taking taylor expansion of 1.0 in x 2.395 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.395 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.395 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.395 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.395 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.395 * [taylor]: Taking taylor expansion of 1.0 in x 2.395 * [taylor]: Taking taylor expansion of 1.0 in x 2.395 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.398 * [taylor]: Taking taylor expansion of 1.0 in x 2.398 * [taylor]: Taking taylor expansion of 1.0 in x 2.416 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.416 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.416 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.416 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.416 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.416 * [taylor]: Taking taylor expansion of 0.5 in x 2.416 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.416 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.416 * [taylor]: Taking taylor expansion of 1.0 in x 2.416 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.417 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.417 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.417 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 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 (* (/ -1 x) (/ -1 x)) in x 2.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.417 * [taylor]: Taking taylor expansion of -1 in x 2.417 * [taylor]: Taking taylor expansion of x in x 2.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.417 * [taylor]: Taking taylor expansion of -1 in x 2.417 * [taylor]: Taking taylor expansion of x in x 2.420 * [taylor]: Taking taylor expansion of 1.0 in x 2.420 * [taylor]: Taking taylor expansion of 1.0 in x 2.420 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.420 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.420 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.420 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.420 * [taylor]: Taking taylor expansion of 0.5 in x 2.420 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.420 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.420 * [taylor]: Taking taylor expansion of 1.0 in x 2.420 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.420 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.421 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.421 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.421 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.421 * [taylor]: Taking taylor expansion of 1.0 in x 2.421 * [taylor]: Taking taylor expansion of 1.0 in x 2.421 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.421 * [taylor]: Taking taylor expansion of -1 in x 2.421 * [taylor]: Taking taylor expansion of x in x 2.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.421 * [taylor]: Taking taylor expansion of -1 in x 2.421 * [taylor]: Taking taylor expansion of x in x 2.424 * [taylor]: Taking taylor expansion of 1.0 in x 2.424 * [taylor]: Taking taylor expansion of 1.0 in x 2.448 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.448 * [approximate]: Taking taylor expansion of (log1p (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 2.448 * [taylor]: Taking taylor expansion of (log1p (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.448 * [taylor]: Rewrote expression to (log (+ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) 2.448 * [taylor]: Taking taylor expansion of (+ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.448 * [taylor]: Taking taylor expansion of 1 in x 2.448 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.448 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.448 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.448 * [taylor]: Taking taylor expansion of 0.5 in x 2.449 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.449 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.449 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.449 * [taylor]: Taking taylor expansion of 1.0 in x 2.449 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.449 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.449 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.449 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.449 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.449 * [taylor]: Taking taylor expansion of 1.0 in x 2.449 * [taylor]: Taking taylor expansion of 1.0 in x 2.449 * [taylor]: Taking taylor expansion of (* x x) in x 2.449 * [taylor]: Taking taylor expansion of x in x 2.449 * [taylor]: Taking taylor expansion of x in x 2.452 * [taylor]: Taking taylor expansion of 1.0 in x 2.458 * [taylor]: Taking taylor expansion of 1.0 in x 2.473 * [taylor]: Taking taylor expansion of (log1p (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.473 * [taylor]: Rewrote expression to (log (+ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) 2.473 * [taylor]: Taking taylor expansion of (+ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.473 * [taylor]: Taking taylor expansion of 1 in x 2.473 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.473 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.473 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.473 * [taylor]: Taking taylor expansion of 0.5 in x 2.473 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.473 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.474 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.474 * [taylor]: Taking taylor expansion of 1.0 in x 2.474 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.474 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.474 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.474 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.474 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.474 * [taylor]: Taking taylor expansion of 1.0 in x 2.474 * [taylor]: Taking taylor expansion of 1.0 in x 2.474 * [taylor]: Taking taylor expansion of (* x x) in x 2.474 * [taylor]: Taking taylor expansion of x in x 2.474 * [taylor]: Taking taylor expansion of x in x 2.477 * [taylor]: Taking taylor expansion of 1.0 in x 2.482 * [taylor]: Taking taylor expansion of 1.0 in x 3.125 * [approximate]: Taking taylor expansion of (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 3.125 * [taylor]: Taking taylor expansion of (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.125 * [taylor]: Rewrote expression to (log (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) 3.125 * [taylor]: Taking taylor expansion of (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.125 * [taylor]: Taking taylor expansion of 1 in x 3.125 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.125 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.125 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.125 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.125 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.125 * [taylor]: Taking taylor expansion of 1.0 in x 3.125 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.125 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.125 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.125 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.125 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.125 * [taylor]: Taking taylor expansion of 1.0 in x 3.125 * [taylor]: Taking taylor expansion of 1.0 in x 3.125 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.125 * [taylor]: Taking taylor expansion of x in x 3.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.125 * [taylor]: Taking taylor expansion of x in x 3.128 * [taylor]: Taking taylor expansion of 1.0 in x 3.130 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.130 * [taylor]: Taking taylor expansion of 0.5 in x 3.131 * [taylor]: Taking taylor expansion of 1.0 in x 3.136 * [taylor]: Taking taylor expansion of (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.137 * [taylor]: Rewrote expression to (log (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) 3.137 * [taylor]: Taking taylor expansion of (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.137 * [taylor]: Taking taylor expansion of 1 in x 3.137 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.137 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.137 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.137 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.137 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.137 * [taylor]: Taking taylor expansion of 1.0 in x 3.137 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.137 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.137 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.137 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.137 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.137 * [taylor]: Taking taylor expansion of 1.0 in x 3.137 * [taylor]: Taking taylor expansion of 1.0 in x 3.137 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.137 * [taylor]: Taking taylor expansion of x in x 3.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.137 * [taylor]: Taking taylor expansion of x in x 3.140 * [taylor]: Taking taylor expansion of 1.0 in x 3.145 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.145 * [taylor]: Taking taylor expansion of 0.5 in x 3.146 * [taylor]: Taking taylor expansion of 1.0 in x 3.247 * [approximate]: Taking taylor expansion of (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 3.247 * [taylor]: Taking taylor expansion of (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.247 * [taylor]: Rewrote expression to (log (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) 3.247 * [taylor]: Taking taylor expansion of (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.247 * [taylor]: Taking taylor expansion of 1 in x 3.247 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.247 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.247 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.247 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.247 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.247 * [taylor]: Taking taylor expansion of 1.0 in x 3.247 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.247 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.247 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.247 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.247 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.247 * [taylor]: Taking taylor expansion of 1.0 in x 3.247 * [taylor]: Taking taylor expansion of 1.0 in x 3.247 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.247 * [taylor]: Taking taylor expansion of -1 in x 3.247 * [taylor]: Taking taylor expansion of x in x 3.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.248 * [taylor]: Taking taylor expansion of -1 in x 3.248 * [taylor]: Taking taylor expansion of x in x 3.251 * [taylor]: Taking taylor expansion of 1.0 in x 3.252 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.252 * [taylor]: Taking taylor expansion of 0.5 in x 3.253 * [taylor]: Taking taylor expansion of 1.0 in x 3.259 * [taylor]: Taking taylor expansion of (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.259 * [taylor]: Rewrote expression to (log (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) 3.259 * [taylor]: Taking taylor expansion of (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.259 * [taylor]: Taking taylor expansion of 1 in x 3.259 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.259 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.259 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.259 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.259 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.259 * [taylor]: Taking taylor expansion of 1.0 in x 3.259 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.259 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.259 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.259 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.259 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.259 * [taylor]: Taking taylor expansion of 1.0 in x 3.259 * [taylor]: Taking taylor expansion of 1.0 in x 3.259 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.259 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.259 * [taylor]: Taking taylor expansion of -1 in x 3.259 * [taylor]: Taking taylor expansion of x in x 3.260 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.260 * [taylor]: Taking taylor expansion of -1 in x 3.260 * [taylor]: Taking taylor expansion of x in x 3.263 * [taylor]: Taking taylor expansion of 1.0 in x 3.264 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.264 * [taylor]: Taking taylor expansion of 0.5 in x 3.265 * [taylor]: Taking taylor expansion of 1.0 in x 3.370 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.370 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in (x) around 0 3.370 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 3.370 * [taylor]: Rewrote expression to (- (exp (log1p (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) 1) 3.370 * [taylor]: Taking taylor expansion of (exp (log1p (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 3.370 * [taylor]: Taking taylor expansion of (log1p (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.370 * [taylor]: Rewrote expression to (log (+ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) 3.370 * [taylor]: Taking taylor expansion of (+ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.370 * [taylor]: Taking taylor expansion of 1 in x 3.370 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.371 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.371 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.371 * [taylor]: Taking taylor expansion of 0.5 in x 3.371 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.371 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.371 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.371 * [taylor]: Taking taylor expansion of 1.0 in x 3.371 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.371 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.371 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.371 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.371 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.371 * [taylor]: Taking taylor expansion of 1.0 in x 3.371 * [taylor]: Taking taylor expansion of 1.0 in x 3.372 * [taylor]: Taking taylor expansion of (* x x) in x 3.372 * [taylor]: Taking taylor expansion of x in x 3.372 * [taylor]: Taking taylor expansion of x in x 3.377 * [taylor]: Taking taylor expansion of 1.0 in x 3.383 * [taylor]: Taking taylor expansion of 1.0 in x 3.403 * [taylor]: Taking taylor expansion of 1 in x 3.403 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 3.403 * [taylor]: Rewrote expression to (- (exp (log1p (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) 1) 3.403 * [taylor]: Taking taylor expansion of (exp (log1p (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 3.403 * [taylor]: Taking taylor expansion of (log1p (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.403 * [taylor]: Rewrote expression to (log (+ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) 3.403 * [taylor]: Taking taylor expansion of (+ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.403 * [taylor]: Taking taylor expansion of 1 in x 3.403 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.403 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.403 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.403 * [taylor]: Taking taylor expansion of 0.5 in x 3.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.404 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.404 * [taylor]: Taking taylor expansion of 1.0 in x 3.404 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.404 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.404 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.404 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.404 * [taylor]: Taking taylor expansion of 1.0 in x 3.404 * [taylor]: Taking taylor expansion of 1.0 in x 3.404 * [taylor]: Taking taylor expansion of (* x x) in x 3.404 * [taylor]: Taking taylor expansion of x in x 3.404 * [taylor]: Taking taylor expansion of x in x 3.407 * [taylor]: Taking taylor expansion of 1.0 in x 3.412 * [taylor]: Taking taylor expansion of 1.0 in x 3.433 * [taylor]: Taking taylor expansion of 1 in x 4.125 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in (x) around 0 4.125 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.125 * [taylor]: Rewrote expression to (- (exp (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) 1) 4.125 * [taylor]: Taking taylor expansion of (exp (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.125 * [taylor]: Taking taylor expansion of (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.125 * [taylor]: Rewrote expression to (log (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) 4.125 * [taylor]: Taking taylor expansion of (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.125 * [taylor]: Taking taylor expansion of 1 in x 4.125 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.125 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.125 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.125 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.125 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.125 * [taylor]: Taking taylor expansion of 1.0 in x 4.125 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.125 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.125 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.125 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.126 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.126 * [taylor]: Taking taylor expansion of 1.0 in x 4.126 * [taylor]: Taking taylor expansion of 1.0 in x 4.126 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.126 * [taylor]: Taking taylor expansion of x in x 4.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.126 * [taylor]: Taking taylor expansion of x in x 4.129 * [taylor]: Taking taylor expansion of 1.0 in x 4.131 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.131 * [taylor]: Taking taylor expansion of 0.5 in x 4.131 * [taylor]: Taking taylor expansion of 1.0 in x 4.139 * [taylor]: Taking taylor expansion of 1 in x 4.139 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.139 * [taylor]: Rewrote expression to (- (exp (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) 1) 4.139 * [taylor]: Taking taylor expansion of (exp (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.140 * [taylor]: Taking taylor expansion of (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.140 * [taylor]: Rewrote expression to (log (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) 4.140 * [taylor]: Taking taylor expansion of (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.140 * [taylor]: Taking taylor expansion of 1 in x 4.140 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.140 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.140 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.140 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.140 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.140 * [taylor]: Taking taylor expansion of 1.0 in x 4.140 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.140 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.140 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.140 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.140 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.140 * [taylor]: Taking taylor expansion of 1.0 in x 4.140 * [taylor]: Taking taylor expansion of 1.0 in x 4.140 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.140 * [taylor]: Taking taylor expansion of x in x 4.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.140 * [taylor]: Taking taylor expansion of x in x 4.143 * [taylor]: Taking taylor expansion of 1.0 in x 4.145 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.145 * [taylor]: Taking taylor expansion of 0.5 in x 4.146 * [taylor]: Taking taylor expansion of 1.0 in x 4.160 * [taylor]: Taking taylor expansion of 1 in x 4.284 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in (x) around 0 4.284 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.284 * [taylor]: Rewrote expression to (- (exp (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) 1) 4.284 * [taylor]: Taking taylor expansion of (exp (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.284 * [taylor]: Taking taylor expansion of (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.284 * [taylor]: Rewrote expression to (log (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) 4.284 * [taylor]: Taking taylor expansion of (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.284 * [taylor]: Taking taylor expansion of 1 in x 4.284 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.284 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.284 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.284 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.284 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.284 * [taylor]: Taking taylor expansion of 1.0 in x 4.284 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.284 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.284 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.284 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.284 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.284 * [taylor]: Taking taylor expansion of 1.0 in x 4.284 * [taylor]: Taking taylor expansion of 1.0 in x 4.284 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.284 * [taylor]: Taking taylor expansion of -1 in x 4.284 * [taylor]: Taking taylor expansion of x in x 4.285 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.285 * [taylor]: Taking taylor expansion of -1 in x 4.285 * [taylor]: Taking taylor expansion of x in x 4.288 * [taylor]: Taking taylor expansion of 1.0 in x 4.290 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.290 * [taylor]: Taking taylor expansion of 0.5 in x 4.290 * [taylor]: Taking taylor expansion of 1.0 in x 4.298 * [taylor]: Taking taylor expansion of 1 in x 4.298 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.298 * [taylor]: Rewrote expression to (- (exp (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) 1) 4.298 * [taylor]: Taking taylor expansion of (exp (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.299 * [taylor]: Taking taylor expansion of (log1p (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.299 * [taylor]: Rewrote expression to (log (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) 4.299 * [taylor]: Taking taylor expansion of (+ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.299 * [taylor]: Taking taylor expansion of 1 in x 4.299 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.299 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.299 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.299 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.299 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.299 * [taylor]: Taking taylor expansion of 1.0 in x 4.299 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.299 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.299 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.299 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.299 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.299 * [taylor]: Taking taylor expansion of 1.0 in x 4.299 * [taylor]: Taking taylor expansion of 1.0 in x 4.299 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.299 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.299 * [taylor]: Taking taylor expansion of -1 in x 4.299 * [taylor]: Taking taylor expansion of x in x 4.299 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.299 * [taylor]: Taking taylor expansion of -1 in x 4.299 * [taylor]: Taking taylor expansion of x in x 4.303 * [taylor]: Taking taylor expansion of 1.0 in x 4.311 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.311 * [taylor]: Taking taylor expansion of 0.5 in x 4.311 * [taylor]: Taking taylor expansion of 1.0 in x 4.319 * [taylor]: Taking taylor expansion of 1 in x 4.444 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 4.444 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 4.444 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.444 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.444 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.444 * [taylor]: Taking taylor expansion of 0.5 in x 4.445 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.445 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.445 * [taylor]: Taking taylor expansion of 1.0 in x 4.445 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.445 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.445 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.445 * [taylor]: Taking taylor expansion of 1.0 in x 4.445 * [taylor]: Taking taylor expansion of 1.0 in x 4.445 * [taylor]: Taking taylor expansion of (* x x) in x 4.445 * [taylor]: Taking taylor expansion of x in x 4.445 * [taylor]: Taking taylor expansion of x in x 4.448 * [taylor]: Taking taylor expansion of 1.0 in x 4.453 * [taylor]: Taking taylor expansion of 1.0 in x 4.453 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 4.453 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 4.453 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.453 * [taylor]: Taking taylor expansion of 0.5 in x 4.454 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 4.454 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 4.454 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 4.454 * [taylor]: Taking taylor expansion of 1.0 in x 4.454 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 4.454 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 4.454 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 4.454 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 4.454 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.454 * [taylor]: Taking taylor expansion of 1.0 in x 4.454 * [taylor]: Taking taylor expansion of 1.0 in x 4.454 * [taylor]: Taking taylor expansion of (* x x) in x 4.454 * [taylor]: Taking taylor expansion of x in x 4.454 * [taylor]: Taking taylor expansion of x in x 4.457 * [taylor]: Taking taylor expansion of 1.0 in x 4.469 * [taylor]: Taking taylor expansion of 1.0 in x 4.671 * [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 4.671 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.671 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.671 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.671 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.671 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.671 * [taylor]: Taking taylor expansion of 1.0 in x 4.671 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.671 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.671 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.671 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.671 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.671 * [taylor]: Taking taylor expansion of 1.0 in x 4.671 * [taylor]: Taking taylor expansion of 1.0 in x 4.671 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.671 * [taylor]: Taking taylor expansion of x in x 4.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.672 * [taylor]: Taking taylor expansion of x in x 4.675 * [taylor]: Taking taylor expansion of 1.0 in x 4.677 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.677 * [taylor]: Taking taylor expansion of 0.5 in x 4.677 * [taylor]: Taking taylor expansion of 1.0 in x 4.677 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.677 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.677 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.677 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.677 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.677 * [taylor]: Taking taylor expansion of 1.0 in x 4.677 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.677 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.678 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.678 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.678 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.678 * [taylor]: Taking taylor expansion of 1.0 in x 4.678 * [taylor]: Taking taylor expansion of 1.0 in x 4.678 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.678 * [taylor]: Taking taylor expansion of x in x 4.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.678 * [taylor]: Taking taylor expansion of x in x 4.681 * [taylor]: Taking taylor expansion of 1.0 in x 4.683 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.683 * [taylor]: Taking taylor expansion of 0.5 in x 4.684 * [taylor]: Taking taylor expansion of 1.0 in x 4.719 * [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 4.719 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.719 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.719 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.719 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.719 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.719 * [taylor]: Taking taylor expansion of 1.0 in x 4.719 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.720 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.720 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.720 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.720 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.720 * [taylor]: Taking taylor expansion of 1.0 in x 4.720 * [taylor]: Taking taylor expansion of 1.0 in x 4.720 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.720 * [taylor]: Taking taylor expansion of -1 in x 4.720 * [taylor]: Taking taylor expansion of x in x 4.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.720 * [taylor]: Taking taylor expansion of -1 in x 4.720 * [taylor]: Taking taylor expansion of x in x 4.723 * [taylor]: Taking taylor expansion of 1.0 in x 4.725 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.725 * [taylor]: Taking taylor expansion of 0.5 in x 4.726 * [taylor]: Taking taylor expansion of 1.0 in x 4.726 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.726 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.726 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.726 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.726 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.726 * [taylor]: Taking taylor expansion of 1.0 in x 4.726 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.726 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.726 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.726 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.726 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.726 * [taylor]: Taking taylor expansion of 1.0 in x 4.726 * [taylor]: Taking taylor expansion of 1.0 in x 4.726 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.726 * [taylor]: Taking taylor expansion of -1 in x 4.727 * [taylor]: Taking taylor expansion of x in x 4.727 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.727 * [taylor]: Taking taylor expansion of -1 in x 4.727 * [taylor]: Taking taylor expansion of x in x 4.730 * [taylor]: Taking taylor expansion of 1.0 in x 4.732 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.732 * [taylor]: Taking taylor expansion of 0.5 in x 4.733 * [taylor]: Taking taylor expansion of 1.0 in x 4.761 * * * [progress]: simplifying candidates 4.762 * [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))) (+ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (log1p (+ 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))))))) (log1p (+ 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 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log1p (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (* (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (expm1 (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (* (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 2.0) (pow (sqrt 1.0) 5))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (log (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 2.0))) (+ (* 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 2.0) 2) (* (pow (sqrt 1.0) 6) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (* (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 2.0) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (* (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 2.0) (pow (sqrt 1.0) 6))) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))))) (- (+ (log (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0)) (* 0.5 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0)))))) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0))))) (* 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0) 2))))))) (- (log (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0))))) (+ (* 0.125 (/ (pow (sqrt 0.5) 2) (* (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0) 2))))) (* 0.5 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0)))))))) (- (+ (* 0.1875 (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 2.0) (pow (sqrt 1.0) 5)))) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.375 (* (/ (* (pow x 4) (sqrt 0.5)) (* (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 2.0) (pow (sqrt 1.0) 5))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) 1.0))) (+ (* 0.0625 (* (/ (* (pow x 4) (sqrt 0.5)) (* (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 2.0) (pow (sqrt 1.0) 6))) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (* 0.03125 (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 2.0) (* (pow (sqrt 1.0) 6) (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (- (+ (* 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)))))) (- (+ (* (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)))))) 4.769 * * [simplify]: iteration 0 : 583 enodes (cost 861 ) 4.780 * * [simplify]: iteration 1 : 2521 enodes (cost 783 ) 4.819 * * [simplify]: iteration 2 : 5002 enodes (cost 781 ) 4.824 * [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))) (+ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (pow (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (sqrt (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (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))))))) (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))))))) (expm1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (- (- (fma (* 0.1875 (* (/ (pow x 4) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 2.0)) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (log (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 2.0))) (fma 0.03125 (/ (pow x 4) (/ (* (* (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 2.0) 2) (pow (sqrt 1.0) 6)) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (pow (sqrt 0.5) 2))) (* (* 0.25 (* (/ (pow x 2) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 2.0)) (/ (sqrt 0.5) (pow (sqrt 1.0) 3)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (* (* 0.03125 (* (/ (pow x 4) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 2.0)) (/ (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)) (fma (sqrt 1.0) (sqrt 0.5) 2.0))) (log (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0))) (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0) 2)))) (/ (* 0.125 (sqrt 0.5)) (* (* (pow x 2) (pow (sqrt 1.0) 3)) (fma (sqrt 1.0) (sqrt 0.5) 2.0)))) (- (- (- (log (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0)))))) (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 2.0) 2)))) (/ (* 0.5 (sqrt 0.5)) (* (* x (sqrt 1.0)) (fma (sqrt 1.0) (sqrt 0.5) 2.0)))) (fma (/ 0.1875 (pow (sqrt 1.0) 5)) (/ 0.5 (/ (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 2.0) (pow x 4))) (- (- (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (fma (* 0.375 (* (/ (pow x 4) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 2.0)) (/ (sqrt 0.5) (pow (sqrt 1.0) 5)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) 1.0)) (fma (* 0.0625 (* (/ (pow x 4) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 2.0)) (/ (sqrt 0.5) (pow (sqrt 1.0) 6)))) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (* (/ 0.03125 (* (pow (sqrt 1.0) 6) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 2.0))) (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0))))) (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 (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))))))) 4.824 * * * [progress]: adding candidates to table 5.070 * * [progress]: iteration 4 / 4 5.070 * * * [progress]: picking best candidate 5.080 * * * * [pick]: Picked # 5.080 * * * [progress]: localizing error 5.090 * * * [progress]: generating rewritten candidates 5.091 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.095 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) 5.096 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 5.097 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 1) 5.102 * * * [progress]: generating series expansions 5.102 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.102 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) 1.0)))) in (x) around 0 5.102 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) 1.0)))) in x 5.102 * [taylor]: Taking taylor expansion of 1.0 in x 5.102 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) 1.0))) in x 5.102 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.102 * [taylor]: Taking taylor expansion of 0.5 in x 5.103 * [taylor]: Taking taylor expansion of (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) 1.0)) in x 5.103 * [taylor]: Taking taylor expansion of (+ (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) 1.0) in x 5.103 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) in x 5.103 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (hypot 1.0 x))))) 5.103 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (hypot 1.0 x)))) in x 5.103 * [taylor]: Taking taylor expansion of 1 in x 5.103 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 x))) in x 5.103 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 x))) 1) 5.103 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 x))) in x 5.103 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.103 * [taylor]: Taking taylor expansion of 1.0 in x 5.103 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.103 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.103 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.103 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.103 * [taylor]: Taking taylor expansion of 1.0 in x 5.103 * [taylor]: Taking taylor expansion of 1.0 in x 5.103 * [taylor]: Taking taylor expansion of (* x x) in x 5.103 * [taylor]: Taking taylor expansion of x in x 5.103 * [taylor]: Taking taylor expansion of x in x 5.107 * [taylor]: Taking taylor expansion of 1 in x 5.112 * [taylor]: Taking taylor expansion of 1.0 in x 5.118 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) 1.0)))) in x 5.119 * [taylor]: Taking taylor expansion of 1.0 in x 5.119 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) 1.0))) in x 5.119 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.119 * [taylor]: Taking taylor expansion of 0.5 in x 5.120 * [taylor]: Taking taylor expansion of (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) 1.0)) in x 5.120 * [taylor]: Taking taylor expansion of (+ (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) 1.0) in x 5.120 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) in x 5.120 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (hypot 1.0 x))))) 5.120 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (hypot 1.0 x)))) in x 5.120 * [taylor]: Taking taylor expansion of 1 in x 5.120 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 x))) in x 5.120 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 x))) 1) 5.120 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 x))) in x 5.120 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.120 * [taylor]: Taking taylor expansion of 1.0 in x 5.120 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.120 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.120 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.120 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.120 * [taylor]: Taking taylor expansion of 1.0 in x 5.120 * [taylor]: Taking taylor expansion of 1.0 in x 5.120 * [taylor]: Taking taylor expansion of (* x x) in x 5.120 * [taylor]: Taking taylor expansion of x in x 5.120 * [taylor]: Taking taylor expansion of x in x 5.124 * [taylor]: Taking taylor expansion of 1 in x 5.133 * [taylor]: Taking taylor expansion of 1.0 in x 5.486 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) 1.0)) (sqrt 0.5))) in (x) around 0 5.486 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) 1.0)) (sqrt 0.5))) in x 5.486 * [taylor]: Taking taylor expansion of 1.0 in x 5.486 * [taylor]: Taking taylor expansion of (* (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) 1.0)) (sqrt 0.5)) in x 5.486 * [taylor]: Taking taylor expansion of (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) 1.0)) in x 5.486 * [taylor]: Taking taylor expansion of (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) 1.0) in x 5.486 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 5.486 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ 1 x)))))) 5.486 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 5.486 * [taylor]: Taking taylor expansion of 1 in x 5.486 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 5.486 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) 1) 5.486 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 5.486 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.486 * [taylor]: Taking taylor expansion of 1.0 in x 5.486 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.486 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.486 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.486 * [taylor]: Taking taylor expansion of 1.0 in x 5.486 * [taylor]: Taking taylor expansion of 1.0 in x 5.486 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.486 * [taylor]: Taking taylor expansion of x in x 5.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.487 * [taylor]: Taking taylor expansion of x in x 5.490 * [taylor]: Taking taylor expansion of 1 in x 5.491 * [taylor]: Taking taylor expansion of 1.0 in x 5.499 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.499 * [taylor]: Taking taylor expansion of 0.5 in x 5.500 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) 1.0)) (sqrt 0.5))) in x 5.500 * [taylor]: Taking taylor expansion of 1.0 in x 5.500 * [taylor]: Taking taylor expansion of (* (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) 1.0)) (sqrt 0.5)) in x 5.500 * [taylor]: Taking taylor expansion of (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) 1.0)) in x 5.500 * [taylor]: Taking taylor expansion of (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) 1.0) in x 5.500 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 5.500 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ 1 x)))))) 5.500 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 5.500 * [taylor]: Taking taylor expansion of 1 in x 5.500 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 5.500 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) 1) 5.500 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 5.500 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.500 * [taylor]: Taking taylor expansion of 1.0 in x 5.500 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.500 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.500 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.500 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.500 * [taylor]: Taking taylor expansion of 1.0 in x 5.500 * [taylor]: Taking taylor expansion of 1.0 in x 5.500 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.500 * [taylor]: Taking taylor expansion of x in x 5.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.500 * [taylor]: Taking taylor expansion of x in x 5.503 * [taylor]: Taking taylor expansion of 1 in x 5.504 * [taylor]: Taking taylor expansion of 1.0 in x 5.512 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.512 * [taylor]: Taking taylor expansion of 0.5 in x 5.566 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) 1.0)) (sqrt 0.5))) in (x) around 0 5.566 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) 1.0)) (sqrt 0.5))) in x 5.566 * [taylor]: Taking taylor expansion of 1.0 in x 5.566 * [taylor]: Taking taylor expansion of (* (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) 1.0)) (sqrt 0.5)) in x 5.566 * [taylor]: Taking taylor expansion of (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) 1.0)) in x 5.566 * [taylor]: Taking taylor expansion of (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) 1.0) in x 5.566 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 5.566 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ -1 x)))))) 5.566 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 5.566 * [taylor]: Taking taylor expansion of 1 in x 5.566 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 5.566 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) 1) 5.566 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 5.566 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.566 * [taylor]: Taking taylor expansion of 1.0 in x 5.566 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.566 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.566 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.566 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.566 * [taylor]: Taking taylor expansion of 1.0 in x 5.566 * [taylor]: Taking taylor expansion of 1.0 in x 5.566 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.566 * [taylor]: Taking taylor expansion of -1 in x 5.566 * [taylor]: Taking taylor expansion of x in x 5.567 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.567 * [taylor]: Taking taylor expansion of -1 in x 5.567 * [taylor]: Taking taylor expansion of x in x 5.570 * [taylor]: Taking taylor expansion of 1 in x 5.571 * [taylor]: Taking taylor expansion of 1.0 in x 5.579 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.579 * [taylor]: Taking taylor expansion of 0.5 in x 5.579 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) 1.0)) (sqrt 0.5))) in x 5.579 * [taylor]: Taking taylor expansion of 1.0 in x 5.579 * [taylor]: Taking taylor expansion of (* (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) 1.0)) (sqrt 0.5)) in x 5.579 * [taylor]: Taking taylor expansion of (sqrt (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) 1.0)) in x 5.579 * [taylor]: Taking taylor expansion of (+ (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) 1.0) in x 5.579 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 5.579 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ -1 x)))))) 5.579 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 5.580 * [taylor]: Taking taylor expansion of 1 in x 5.580 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 5.580 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) 1) 5.580 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 5.580 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.580 * [taylor]: Taking taylor expansion of 1.0 in x 5.580 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.580 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.580 * [taylor]: Taking taylor expansion of 1.0 in x 5.580 * [taylor]: Taking taylor expansion of 1.0 in x 5.580 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.580 * [taylor]: Taking taylor expansion of -1 in x 5.580 * [taylor]: Taking taylor expansion of x in x 5.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.580 * [taylor]: Taking taylor expansion of -1 in x 5.580 * [taylor]: Taking taylor expansion of x in x 5.583 * [taylor]: Taking taylor expansion of 1 in x 5.584 * [taylor]: Taking taylor expansion of 1.0 in x 5.592 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.592 * [taylor]: Taking taylor expansion of 0.5 in x 5.645 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1) 5.645 * [approximate]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 x))) in (x) around 0 5.645 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 x))) in x 5.646 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 x))) 1) 5.646 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 x))) in x 5.646 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.646 * [taylor]: Taking taylor expansion of 1.0 in x 5.646 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.646 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.646 * [taylor]: Taking taylor expansion of 1.0 in x 5.646 * [taylor]: Taking taylor expansion of 1.0 in x 5.646 * [taylor]: Taking taylor expansion of (* x x) in x 5.646 * [taylor]: Taking taylor expansion of x in x 5.646 * [taylor]: Taking taylor expansion of x in x 5.650 * [taylor]: Taking taylor expansion of 1 in x 5.650 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 x))) in x 5.650 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 x))) 1) 5.650 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 x))) in x 5.650 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.650 * [taylor]: Taking taylor expansion of 1.0 in x 5.650 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.650 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.650 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.650 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.650 * [taylor]: Taking taylor expansion of 1.0 in x 5.650 * [taylor]: Taking taylor expansion of 1.0 in x 5.650 * [taylor]: Taking taylor expansion of (* x x) in x 5.650 * [taylor]: Taking taylor expansion of x in x 5.650 * [taylor]: Taking taylor expansion of x in x 5.654 * [taylor]: Taking taylor expansion of 1 in x 5.756 * [approximate]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ 1 x)))) in (x) around 0 5.756 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 5.757 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) 1) 5.757 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 5.757 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.757 * [taylor]: Taking taylor expansion of 1.0 in x 5.757 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.757 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.757 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.757 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.757 * [taylor]: Taking taylor expansion of 1.0 in x 5.757 * [taylor]: Taking taylor expansion of 1.0 in x 5.757 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.757 * [taylor]: Taking taylor expansion of x in x 5.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.757 * [taylor]: Taking taylor expansion of x in x 5.761 * [taylor]: Taking taylor expansion of 1 in x 5.761 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 5.761 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) 1) 5.761 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 5.761 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 5.761 * [taylor]: Taking taylor expansion of 1.0 in x 5.761 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 5.761 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 5.761 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 5.761 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.761 * [taylor]: Taking taylor expansion of 1.0 in x 5.761 * [taylor]: Taking taylor expansion of 1.0 in x 5.761 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.761 * [taylor]: Taking taylor expansion of x in x 5.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.761 * [taylor]: Taking taylor expansion of x in x 5.764 * [taylor]: Taking taylor expansion of 1 in x 5.792 * [approximate]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ -1 x)))) in (x) around 0 5.792 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 5.792 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) 1) 5.792 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 5.792 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.792 * [taylor]: Taking taylor expansion of 1.0 in x 5.792 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.792 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.792 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.792 * [taylor]: Taking taylor expansion of 1.0 in x 5.792 * [taylor]: Taking taylor expansion of 1.0 in x 5.792 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.792 * [taylor]: Taking taylor expansion of -1 in x 5.792 * [taylor]: Taking taylor expansion of x in x 5.793 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.793 * [taylor]: Taking taylor expansion of -1 in x 5.793 * [taylor]: Taking taylor expansion of x in x 5.796 * [taylor]: Taking taylor expansion of 1 in x 5.796 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 5.796 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) 1) 5.796 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 5.796 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 5.796 * [taylor]: Taking taylor expansion of 1.0 in x 5.796 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 5.796 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 5.796 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 5.796 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.796 * [taylor]: Taking taylor expansion of 1.0 in x 5.796 * [taylor]: Taking taylor expansion of 1.0 in x 5.796 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.796 * [taylor]: Taking taylor expansion of -1 in x 5.796 * [taylor]: Taking taylor expansion of x in x 5.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.797 * [taylor]: Taking taylor expansion of -1 in x 5.797 * [taylor]: Taking taylor expansion of x in x 5.800 * [taylor]: Taking taylor expansion of 1 in x 5.821 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 5.821 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) in (x) around 0 5.821 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) in x 5.821 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (hypot 1.0 x))))) 5.821 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (hypot 1.0 x)))) in x 5.821 * [taylor]: Taking taylor expansion of 1 in x 5.821 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 x))) in x 5.821 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 x))) 1) 5.822 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 x))) in x 5.822 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.822 * [taylor]: Taking taylor expansion of 1.0 in x 5.822 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.822 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.822 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.822 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.822 * [taylor]: Taking taylor expansion of 1.0 in x 5.822 * [taylor]: Taking taylor expansion of 1.0 in x 5.822 * [taylor]: Taking taylor expansion of (* x x) in x 5.822 * [taylor]: Taking taylor expansion of x in x 5.822 * [taylor]: Taking taylor expansion of x in x 5.826 * [taylor]: Taking taylor expansion of 1 in x 5.830 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) in x 5.830 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (hypot 1.0 x))))) 5.830 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (hypot 1.0 x)))) in x 5.830 * [taylor]: Taking taylor expansion of 1 in x 5.831 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 x))) in x 5.831 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 x))) 1) 5.831 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 x))) in x 5.831 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 5.831 * [taylor]: Taking taylor expansion of 1.0 in x 5.831 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.831 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.831 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.831 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.831 * [taylor]: Taking taylor expansion of 1.0 in x 5.831 * [taylor]: Taking taylor expansion of 1.0 in x 5.831 * [taylor]: Taking taylor expansion of (* x x) in x 5.831 * [taylor]: Taking taylor expansion of x in x 5.831 * [taylor]: Taking taylor expansion of x in x 5.835 * [taylor]: Taking taylor expansion of 1 in x 6.016 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) in (x) around 0 6.016 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 6.016 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ 1 x)))))) 6.016 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 6.016 * [taylor]: Taking taylor expansion of 1 in x 6.016 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 6.016 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) 1) 6.016 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 6.016 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 6.016 * [taylor]: Taking taylor expansion of 1.0 in x 6.016 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.016 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.016 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.016 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.016 * [taylor]: Taking taylor expansion of 1.0 in x 6.016 * [taylor]: Taking taylor expansion of 1.0 in x 6.016 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.016 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.016 * [taylor]: Taking taylor expansion of x in x 6.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.017 * [taylor]: Taking taylor expansion of x in x 6.020 * [taylor]: Taking taylor expansion of 1 in x 6.021 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 6.021 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ 1 x)))))) 6.021 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 6.021 * [taylor]: Taking taylor expansion of 1 in x 6.021 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 6.021 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) 1) 6.021 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 6.021 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 6.021 * [taylor]: Taking taylor expansion of 1.0 in x 6.021 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.028 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.028 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.028 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.028 * [taylor]: Taking taylor expansion of 1.0 in x 6.028 * [taylor]: Taking taylor expansion of 1.0 in x 6.028 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.028 * [taylor]: Taking taylor expansion of x in x 6.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.028 * [taylor]: Taking taylor expansion of x in x 6.032 * [taylor]: Taking taylor expansion of 1 in x 6.200 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) in (x) around 0 6.200 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 6.200 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ -1 x)))))) 6.200 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 6.200 * [taylor]: Taking taylor expansion of 1 in x 6.200 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 6.200 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) 1) 6.200 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 6.200 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 6.200 * [taylor]: Taking taylor expansion of 1.0 in x 6.200 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.200 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.200 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.200 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.200 * [taylor]: Taking taylor expansion of 1.0 in x 6.200 * [taylor]: Taking taylor expansion of 1.0 in x 6.200 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.200 * [taylor]: Taking taylor expansion of -1 in x 6.200 * [taylor]: Taking taylor expansion of x in x 6.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.201 * [taylor]: Taking taylor expansion of -1 in x 6.201 * [taylor]: Taking taylor expansion of x in x 6.204 * [taylor]: Taking taylor expansion of 1 in x 6.205 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 6.205 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ -1 x)))))) 6.205 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 6.205 * [taylor]: Taking taylor expansion of 1 in x 6.205 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 6.205 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) 1) 6.205 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 6.205 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 6.205 * [taylor]: Taking taylor expansion of 1.0 in x 6.205 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.205 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.205 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.205 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.205 * [taylor]: Taking taylor expansion of 1.0 in x 6.205 * [taylor]: Taking taylor expansion of 1.0 in x 6.205 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.205 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.205 * [taylor]: Taking taylor expansion of -1 in x 6.205 * [taylor]: Taking taylor expansion of x in x 6.205 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.206 * [taylor]: Taking taylor expansion of -1 in x 6.206 * [taylor]: Taking taylor expansion of x in x 6.209 * [taylor]: Taking taylor expansion of 1 in x 6.376 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1 1) 6.376 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 6.376 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 6.376 * [taylor]: Taking taylor expansion of 1.0 in x 6.376 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.376 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.376 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.376 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.376 * [taylor]: Taking taylor expansion of 1.0 in x 6.376 * [taylor]: Taking taylor expansion of 1.0 in x 6.376 * [taylor]: Taking taylor expansion of (* x x) in x 6.376 * [taylor]: Taking taylor expansion of x in x 6.376 * [taylor]: Taking taylor expansion of x in x 6.379 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 6.379 * [taylor]: Taking taylor expansion of 1.0 in x 6.379 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 6.380 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 6.380 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 6.380 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.380 * [taylor]: Taking taylor expansion of 1.0 in x 6.380 * [taylor]: Taking taylor expansion of 1.0 in x 6.380 * [taylor]: Taking taylor expansion of (* x x) in x 6.380 * [taylor]: Taking taylor expansion of x in x 6.380 * [taylor]: Taking taylor expansion of x in x 6.425 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 6.425 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 6.425 * [taylor]: Taking taylor expansion of 1.0 in x 6.425 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.425 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.425 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.425 * [taylor]: Taking taylor expansion of 1.0 in x 6.425 * [taylor]: Taking taylor expansion of 1.0 in x 6.425 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.425 * [taylor]: Taking taylor expansion of x in x 6.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.426 * [taylor]: Taking taylor expansion of x in x 6.429 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 6.429 * [taylor]: Taking taylor expansion of 1.0 in x 6.429 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.429 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.429 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.429 * [taylor]: Taking taylor expansion of 1.0 in x 6.429 * [taylor]: Taking taylor expansion of 1.0 in x 6.429 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.429 * [taylor]: Taking taylor expansion of x in x 6.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.429 * [taylor]: Taking taylor expansion of x in x 6.451 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 6.451 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 6.451 * [taylor]: Taking taylor expansion of 1.0 in x 6.451 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.451 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.451 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.451 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.451 * [taylor]: Taking taylor expansion of 1.0 in x 6.451 * [taylor]: Taking taylor expansion of 1.0 in x 6.451 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.451 * [taylor]: Taking taylor expansion of -1 in x 6.451 * [taylor]: Taking taylor expansion of x in x 6.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.451 * [taylor]: Taking taylor expansion of -1 in x 6.451 * [taylor]: Taking taylor expansion of x in x 6.454 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 6.455 * [taylor]: Taking taylor expansion of 1.0 in x 6.455 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.455 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.455 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.455 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.455 * [taylor]: Taking taylor expansion of 1.0 in x 6.455 * [taylor]: Taking taylor expansion of 1.0 in x 6.455 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.455 * [taylor]: Taking taylor expansion of -1 in x 6.455 * [taylor]: Taking taylor expansion of x in x 6.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.455 * [taylor]: Taking taylor expansion of -1 in x 6.455 * [taylor]: Taking taylor expansion of x in x 6.477 * * * [progress]: simplifying candidates 6.479 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (sqrt 0.5) (* (sqrt (+ 1.0 (log1p (expm1 (/ 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 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) 1 (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (sqrt 0.5) (* (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) 1 (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (sqrt 0.5) (* (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) 1 (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))))) (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ 1.0 (hypot 1.0 x))) (expm1 (expm1 (/ 1.0 (hypot 1.0 x)))) (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) (log (expm1 (/ 1.0 (hypot 1.0 x)))) (exp (expm1 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (expm1 (/ 1.0 (hypot 1.0 x)))) (cbrt (expm1 (/ 1.0 (hypot 1.0 x))))) (cbrt (expm1 (/ 1.0 (hypot 1.0 x)))) (* (* (expm1 (/ 1.0 (hypot 1.0 x))) (expm1 (/ 1.0 (hypot 1.0 x)))) (expm1 (/ 1.0 (hypot 1.0 x)))) (sqrt (expm1 (/ 1.0 (hypot 1.0 x)))) (sqrt (expm1 (/ 1.0 (hypot 1.0 x)))) (+ 1 (expm1 (/ 1.0 (hypot 1.0 x)))) (expm1 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))) (log1p (log1p (expm1 (/ 1.0 (hypot 1.0 x))))) (log (log1p (expm1 (/ 1.0 (hypot 1.0 x))))) (exp (log1p (expm1 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (log1p (expm1 (/ 1.0 (hypot 1.0 x))))) (cbrt (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))) (cbrt (log1p (expm1 (/ 1.0 (hypot 1.0 x))))) (* (* (log1p (expm1 (/ 1.0 (hypot 1.0 x)))) (log1p (expm1 (/ 1.0 (hypot 1.0 x))))) (log1p (expm1 (/ 1.0 (hypot 1.0 x))))) (sqrt (log1p (expm1 (/ 1.0 (hypot 1.0 x))))) (sqrt (log1p (expm1 (/ 1.0 (hypot 1.0 x))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (exp (/ 1.0 (sqrt 1.0))) (+ (* 0.375 (/ (* (pow x 4) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 5))) (* 0.125 (/ (* (pow x 4) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 6))))) (+ 1 (* 0.5 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 3))))) (- (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x))) (* 0.33333333333333337 (/ 1 (pow x 3)))) (- (+ (* 0.5 (/ 1 (pow x 2))) (* 0.33333333333333337 (/ 1 (pow x 3)))) (* 1.0 (/ 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)))) (* 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))))) 6.487 * * [simplify]: iteration 0 : 512 enodes (cost 1181 ) 6.496 * * [simplify]: iteration 1 : 1948 enodes (cost 852 ) 6.528 * * [simplify]: iteration 2 : 5002 enodes (cost 848 ) 6.533 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (log1p (expm1 (/ 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 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5))) (* (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5))) (* (sqrt (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (* (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ (/ 1.0 (hypot 1.0 x)) 1.0) (* 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))))) (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (fma (- 0.5) (+ (/ 1.0 (hypot 1.0 x)) 1.0) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x))))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (log1p (expm1 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ 1.0 (hypot 1.0 x))) (expm1 (expm1 (/ 1.0 (hypot 1.0 x)))) (/ 1.0 (hypot 1.0 x)) (log (expm1 (/ 1.0 (hypot 1.0 x)))) (exp (expm1 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (expm1 (/ 1.0 (hypot 1.0 x)))) (cbrt (expm1 (/ 1.0 (hypot 1.0 x))))) (cbrt (expm1 (/ 1.0 (hypot 1.0 x)))) (pow (expm1 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (expm1 (/ 1.0 (hypot 1.0 x)))) (sqrt (expm1 (/ 1.0 (hypot 1.0 x)))) (+ 1 (expm1 (/ 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))) (exp (/ 1.0 (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))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (+ (fma 0.375 (/ (* (pow x 4) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 5)) (* 0.125 (/ (* (pow x 4) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 6)))) (- (exp (/ 1.0 (sqrt 1.0))) (fma 0.5 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 3)) 1))) (fma 0.5 (/ 1 (pow x 2)) (- (* 1.0 (/ 1 x)) (* 0.33333333333333337 (/ 1 (pow x 3))))) (fma (- 1.0) (/ 1 x) (fma 0.33333333333333337 (/ 1 (pow x 3)) (/ (/ 0.5 x) 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 (- 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)))))) 6.533 * * * [progress]: adding candidates to table 6.773 * [progress]: [Phase 3 of 3] Extracting. 6.773 * * [regime]: Finding splitpoints for: (# # # #) 6.775 * * * [regime-changes]: Trying 7 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) x) 6.775 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 6.801 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 6.823 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 6.852 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 6.874 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 6.899 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# #) 6.913 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # #) 6.942 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # #) 6.972 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # #) 7.000 * * * * [regimes]: Trying to branch on x from (# # # #) 7.035 * * * [regime]: Found split indices: #