13.119 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.035 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.036 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.038 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.040 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.041 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.043 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.044 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.044 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.058 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.060 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.066 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.076 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.077 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.077 * [taylor]: Taking taylor expansion of 0.5 in x 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.078 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.078 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.078 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.078 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.078 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (* x x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.088 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.088 * [taylor]: Taking taylor expansion of 0.5 in x 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.088 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.088 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.088 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.089 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.089 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (* x x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [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 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.344 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.344 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.356 * [taylor]: Taking taylor expansion of 0.5 in x 0.357 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.357 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.357 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.357 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.357 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.357 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.357 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.357 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.363 * [taylor]: Taking taylor expansion of 0.5 in x 0.401 * [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 0.401 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.401 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.401 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.401 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.401 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.401 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.402 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.402 * [taylor]: Taking taylor expansion of -1 in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.402 * [taylor]: Taking taylor expansion of -1 in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.407 * [taylor]: Taking taylor expansion of 0.5 in x 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.408 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.408 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.408 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.408 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.408 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.408 * [taylor]: Taking taylor expansion of -1 in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.409 * [taylor]: Taking taylor expansion of -1 in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.414 * [taylor]: Taking taylor expansion of 0.5 in x 0.459 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.459 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.459 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.459 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.459 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.459 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (* x x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.462 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.462 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.462 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (* x x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.507 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.507 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.507 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.507 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.511 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.511 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.542 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.542 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.542 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.542 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.542 * [taylor]: Taking taylor expansion of -1 in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.543 * [taylor]: Taking taylor expansion of -1 in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.546 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.547 * [taylor]: Taking taylor expansion of -1 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.547 * [taylor]: Taking taylor expansion of -1 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.570 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.570 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.570 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.570 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.571 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.571 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.571 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of (* x x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.574 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.574 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.574 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.574 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.574 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (* x x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.642 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.642 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.642 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.642 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.642 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.642 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.642 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.642 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.646 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.646 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.646 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.661 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.661 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.661 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.661 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.661 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.661 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.662 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.665 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.665 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.665 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.665 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.665 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.665 * [taylor]: Taking taylor expansion of -1 in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.666 * [taylor]: Taking taylor expansion of -1 in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.680 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.680 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.680 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.680 * [taylor]: Taking taylor expansion of 0.5 in x 0.681 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.681 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.681 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.681 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.681 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.681 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.681 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (* x x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.690 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.690 * [taylor]: Taking taylor expansion of 0.5 in x 0.691 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.691 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.691 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.691 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.691 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (* x x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.884 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.884 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.884 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.884 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.884 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.884 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.885 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.890 * [taylor]: Taking taylor expansion of 0.5 in x 0.891 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.891 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.891 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.891 * [taylor]: Taking taylor expansion of 1.0 in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.891 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.891 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.891 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.891 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.891 * [taylor]: Taking taylor expansion of 1.0 in x 0.891 * [taylor]: Taking taylor expansion of 1.0 in x 0.891 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of 1.0 in x 0.897 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.897 * [taylor]: Taking taylor expansion of 0.5 in x 0.920 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.920 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.920 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.920 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.920 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.921 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.921 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.921 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.921 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.921 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.921 * [taylor]: Taking taylor expansion of -1 in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.921 * [taylor]: Taking taylor expansion of -1 in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.926 * [taylor]: Taking taylor expansion of 0.5 in x 0.927 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.927 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.927 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.927 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.927 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.927 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.927 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.927 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.927 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.927 * [taylor]: Taking taylor expansion of -1 in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.928 * [taylor]: Taking taylor expansion of -1 in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of 1.0 in x 0.933 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.933 * [taylor]: Taking taylor expansion of 0.5 in x 0.956 * * * [progress]: simplifying candidates 0.964 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5))) 1.0)) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ 1.0 (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (+ 1.0 (* 0.5 (/ 1 (pow x 3)))) (* 1.0 (/ 1 x))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 0.972 * * [simplify]: iteration 0 : 533 enodes (cost 1129 ) 0.981 * * [simplify]: iteration 1 : 2036 enodes (cost 878 ) 1.014 * * [simplify]: iteration 2 : 5001 enodes (cost 876 ) 1.019 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log1p (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (fma 1.0 1.0 (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma 1.0 (/ 1 (sqrt 1.0)) (- (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) 1.0) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.5) (pow x 3)) (fma 1.0 (/ 1 x) 1.0)) (+ (/ (- 1.0) x) (fma 0.5 (/ 1 (pow x 3)) 1.0)) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) 1.019 * * * [progress]: adding candidates to table 1.283 * * [progress]: iteration 2 / 4 1.283 * * * [progress]: picking best candidate 1.299 * * * * [pick]: Picked # 1.299 * * * [progress]: localizing error 1.311 * * * [progress]: generating rewritten candidates 1.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.312 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.314 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.316 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 1.324 * * * [progress]: generating series expansions 1.324 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.324 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.325 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.325 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.325 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.325 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.325 * [taylor]: Taking taylor expansion of 0.5 in x 1.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.325 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.325 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.325 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.325 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of (* x x) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.328 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.328 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.328 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.328 * [taylor]: Taking taylor expansion of 0.5 in x 1.328 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.328 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.328 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.328 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.328 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.328 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of (* x x) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.425 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.425 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.425 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.425 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.425 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.425 * [taylor]: Taking taylor expansion of 0.5 in x 1.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.425 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.425 * [taylor]: Taking taylor expansion of 1.0 in x 1.425 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.425 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.425 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.425 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.425 * [taylor]: Taking taylor expansion of 1.0 in x 1.425 * [taylor]: Taking taylor expansion of 1.0 in x 1.425 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.429 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.429 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.429 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.429 * [taylor]: Taking taylor expansion of 0.5 in x 1.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.429 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.429 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.429 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.429 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of 1.0 in x 1.433 * [taylor]: Taking taylor expansion of 1.0 in x 1.458 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.458 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.458 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.458 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.458 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.458 * [taylor]: Taking taylor expansion of 0.5 in x 1.458 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.458 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.458 * [taylor]: Taking taylor expansion of 1.0 in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.459 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.459 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.459 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.459 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.459 * [taylor]: Taking taylor expansion of 1.0 in x 1.459 * [taylor]: Taking taylor expansion of 1.0 in x 1.459 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.459 * [taylor]: Taking taylor expansion of -1 in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.459 * [taylor]: Taking taylor expansion of -1 in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.463 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.463 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.463 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.463 * [taylor]: Taking taylor expansion of 0.5 in x 1.463 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.463 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.463 * [taylor]: Taking taylor expansion of 1.0 in x 1.463 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.463 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.463 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.463 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.463 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.463 * [taylor]: Taking taylor expansion of 1.0 in x 1.463 * [taylor]: Taking taylor expansion of 1.0 in x 1.463 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.463 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.463 * [taylor]: Taking taylor expansion of -1 in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.463 * [taylor]: Taking taylor expansion of -1 in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of 1.0 in x 1.466 * [taylor]: Taking taylor expansion of 1.0 in x 1.485 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.485 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.485 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.485 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.485 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.485 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.485 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.486 * [taylor]: Taking taylor expansion of (* x x) in x 1.486 * [taylor]: Taking taylor expansion of x in x 1.486 * [taylor]: Taking taylor expansion of x in x 1.489 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.489 * [taylor]: Taking taylor expansion of 1.0 in x 1.489 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.489 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.489 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.489 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.489 * [taylor]: Taking taylor expansion of 1.0 in x 1.489 * [taylor]: Taking taylor expansion of 1.0 in x 1.489 * [taylor]: Taking taylor expansion of (* x x) in x 1.489 * [taylor]: Taking taylor expansion of x in x 1.489 * [taylor]: Taking taylor expansion of x in x 1.531 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.531 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.531 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.531 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.531 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.531 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.531 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.535 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.535 * [taylor]: Taking taylor expansion of 1.0 in x 1.535 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.535 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.535 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.535 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.535 * [taylor]: Taking taylor expansion of 1.0 in x 1.535 * [taylor]: Taking taylor expansion of 1.0 in x 1.535 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.535 * [taylor]: Taking taylor expansion of x in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.535 * [taylor]: Taking taylor expansion of x in x 1.564 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.564 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.565 * [taylor]: Taking taylor expansion of 1.0 in x 1.565 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.565 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.565 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.565 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.565 * [taylor]: Taking taylor expansion of 1.0 in x 1.565 * [taylor]: Taking taylor expansion of 1.0 in x 1.565 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.565 * [taylor]: Taking taylor expansion of -1 in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.565 * [taylor]: Taking taylor expansion of -1 in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.568 * [taylor]: Taking taylor expansion of 1.0 in x 1.568 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.568 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.568 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.569 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.569 * [taylor]: Taking taylor expansion of 1.0 in x 1.569 * [taylor]: Taking taylor expansion of 1.0 in x 1.569 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.569 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.569 * [taylor]: Taking taylor expansion of -1 in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.569 * [taylor]: Taking taylor expansion of -1 in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.592 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.592 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.592 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 1.592 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.592 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.592 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.592 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of (* x x) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.595 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.596 * [taylor]: Taking taylor expansion of 1.0 in x 1.596 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.596 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.596 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.596 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.596 * [taylor]: Taking taylor expansion of 1.0 in x 1.596 * [taylor]: Taking taylor expansion of 1.0 in x 1.596 * [taylor]: Taking taylor expansion of (* x x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.642 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.642 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.642 * [taylor]: Taking taylor expansion of 1.0 in x 1.642 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.643 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.643 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.643 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.643 * [taylor]: Taking taylor expansion of 1.0 in x 1.643 * [taylor]: Taking taylor expansion of 1.0 in x 1.643 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.643 * [taylor]: Taking taylor expansion of x in x 1.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.643 * [taylor]: Taking taylor expansion of x in x 1.646 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.646 * [taylor]: Taking taylor expansion of 1.0 in x 1.646 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.646 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.646 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.646 * [taylor]: Taking taylor expansion of 1.0 in x 1.646 * [taylor]: Taking taylor expansion of 1.0 in x 1.646 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.646 * [taylor]: Taking taylor expansion of x in x 1.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.647 * [taylor]: Taking taylor expansion of x in x 1.670 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.670 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.670 * [taylor]: Taking taylor expansion of 1.0 in x 1.670 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.670 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.670 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.670 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.670 * [taylor]: Taking taylor expansion of 1.0 in x 1.670 * [taylor]: Taking taylor expansion of 1.0 in x 1.670 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.670 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.670 * [taylor]: Taking taylor expansion of -1 in x 1.670 * [taylor]: Taking taylor expansion of x in x 1.670 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.670 * [taylor]: Taking taylor expansion of -1 in x 1.670 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (/ 1.0 (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 (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 1.674 * [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 1.698 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 1.698 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 1.698 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.698 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.699 * [taylor]: Taking taylor expansion of 1.0 in x 1.699 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.699 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.699 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.699 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.699 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.699 * [taylor]: Taking taylor expansion of 1.0 in x 1.699 * [taylor]: Taking taylor expansion of 1.0 in x 1.699 * [taylor]: Taking taylor expansion of (* x x) in x 1.699 * [taylor]: Taking taylor expansion of x in x 1.699 * [taylor]: Taking taylor expansion of x in x 1.702 * [taylor]: Taking taylor expansion of 1.0 in x 1.702 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.702 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.702 * [taylor]: Taking taylor expansion of 1.0 in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.702 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.702 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.702 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.702 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.702 * [taylor]: Taking taylor expansion of 1.0 in x 1.702 * [taylor]: Taking taylor expansion of 1.0 in x 1.702 * [taylor]: Taking taylor expansion of (* x x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.769 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 1.769 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.770 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.770 * [taylor]: Taking taylor expansion of 1.0 in x 1.770 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.770 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.770 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.770 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.770 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.770 * [taylor]: Taking taylor expansion of 1.0 in x 1.770 * [taylor]: Taking taylor expansion of 1.0 in x 1.770 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.773 * [taylor]: Taking taylor expansion of 1.0 in x 1.773 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.773 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.773 * [taylor]: Taking taylor expansion of 1.0 in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.773 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.773 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.773 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.773 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.773 * [taylor]: Taking taylor expansion of 1.0 in x 1.773 * [taylor]: Taking taylor expansion of 1.0 in x 1.773 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.773 * [taylor]: Taking taylor expansion of x in x 1.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.774 * [taylor]: Taking taylor expansion of x in x 1.777 * [taylor]: Taking taylor expansion of 1.0 in x 1.787 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 1.787 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.787 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (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 (/ 1 (hypot 1.0 (/ -1 x))) in x 1.787 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.788 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.788 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.788 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.788 * [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 1.791 * [taylor]: Taking taylor expansion of 1.0 in x 1.791 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.791 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.791 * [taylor]: Taking taylor expansion of 1.0 in x 1.791 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.791 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.791 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.791 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.791 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.791 * [taylor]: Taking taylor expansion of 1.0 in x 1.791 * [taylor]: Taking taylor expansion of 1.0 in x 1.792 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.792 * [taylor]: Taking taylor expansion of -1 in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.792 * [taylor]: Taking taylor expansion of -1 in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.795 * [taylor]: Taking taylor expansion of 1.0 in x 1.812 * * * [progress]: simplifying candidates 1.813 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (+ 1.0 (/ 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) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 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))) 1.818 * * [simplify]: iteration 0 : 319 enodes (cost 561 ) 1.824 * * [simplify]: iteration 1 : 1141 enodes (cost 522 ) 1.845 * * [simplify]: iteration 2 : 5001 enodes (cost 520 ) 1.848 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (+ 1.0 (/ 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) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma 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)) 1.849 * * * [progress]: adding candidates to table 2.180 * * [progress]: iteration 3 / 4 2.180 * * * [progress]: picking best candidate 2.191 * * * * [pick]: Picked # 2.191 * * * [progress]: localizing error 2.207 * * * [progress]: generating rewritten candidates 2.207 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.208 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.209 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 2.214 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) 2.218 * * * [progress]: generating series expansions 2.218 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.219 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.219 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.219 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.219 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.219 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.219 * [taylor]: Taking taylor expansion of 0.5 in x 2.220 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.220 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.220 * [taylor]: Taking taylor expansion of 1.0 in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.220 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.220 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.220 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.220 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.220 * [taylor]: Taking taylor expansion of 1.0 in x 2.220 * [taylor]: Taking taylor expansion of 1.0 in x 2.220 * [taylor]: Taking taylor expansion of (* x x) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.223 * [taylor]: Taking taylor expansion of 1.0 in x 2.223 * [taylor]: Taking taylor expansion of 1.0 in x 2.223 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.223 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.223 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.223 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.223 * [taylor]: Taking taylor expansion of 0.5 in x 2.223 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.223 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.223 * [taylor]: Taking taylor expansion of 1.0 in x 2.223 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.223 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.223 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.223 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.223 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.223 * [taylor]: Taking taylor expansion of 1.0 in x 2.223 * [taylor]: Taking taylor expansion of 1.0 in x 2.223 * [taylor]: Taking taylor expansion of (* x x) in x 2.223 * [taylor]: Taking taylor expansion of x in x 2.223 * [taylor]: Taking taylor expansion of x in x 2.226 * [taylor]: Taking taylor expansion of 1.0 in x 2.226 * [taylor]: Taking taylor expansion of 1.0 in x 2.321 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.321 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.321 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.321 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.321 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.321 * [taylor]: Taking taylor expansion of 0.5 in x 2.321 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.321 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.321 * [taylor]: Taking taylor expansion of 1.0 in x 2.321 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.321 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.321 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.322 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.322 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.322 * [taylor]: Taking taylor expansion of 1.0 in x 2.322 * [taylor]: Taking taylor expansion of 1.0 in x 2.322 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.322 * [taylor]: Taking taylor expansion of x in x 2.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.322 * [taylor]: Taking taylor expansion of x in x 2.325 * [taylor]: Taking taylor expansion of 1.0 in x 2.325 * [taylor]: Taking taylor expansion of 1.0 in x 2.325 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.325 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.325 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.325 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.325 * [taylor]: Taking taylor expansion of 0.5 in x 2.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.325 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.325 * [taylor]: Taking taylor expansion of 1.0 in x 2.325 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.325 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.325 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.326 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.326 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.326 * [taylor]: Taking taylor expansion of 1.0 in x 2.326 * [taylor]: Taking taylor expansion of 1.0 in x 2.326 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.326 * [taylor]: Taking taylor expansion of x in x 2.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.326 * [taylor]: Taking taylor expansion of x in x 2.329 * [taylor]: Taking taylor expansion of 1.0 in x 2.329 * [taylor]: Taking taylor expansion of 1.0 in x 2.347 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.347 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.348 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.348 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.348 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.348 * [taylor]: Taking taylor expansion of 0.5 in x 2.348 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.348 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.348 * [taylor]: Taking taylor expansion of 1.0 in x 2.348 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.348 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.348 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.348 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.348 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.348 * [taylor]: Taking taylor expansion of 1.0 in x 2.348 * [taylor]: Taking taylor expansion of 1.0 in x 2.348 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.348 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.348 * [taylor]: Taking taylor expansion of -1 in x 2.348 * [taylor]: Taking taylor expansion of x in x 2.348 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.348 * [taylor]: Taking taylor expansion of -1 in x 2.348 * [taylor]: Taking taylor expansion of x in x 2.351 * [taylor]: Taking taylor expansion of 1.0 in x 2.351 * [taylor]: Taking taylor expansion of 1.0 in x 2.351 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.352 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.352 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.352 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.352 * [taylor]: Taking taylor expansion of 0.5 in x 2.352 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.352 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.352 * [taylor]: Taking taylor expansion of 1.0 in x 2.352 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.352 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.352 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.352 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.352 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.352 * [taylor]: Taking taylor expansion of 1.0 in x 2.352 * [taylor]: Taking taylor expansion of 1.0 in x 2.352 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.352 * [taylor]: Taking taylor expansion of -1 in x 2.352 * [taylor]: Taking taylor expansion of x in x 2.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.352 * [taylor]: Taking taylor expansion of -1 in x 2.352 * [taylor]: Taking taylor expansion of x in x 2.355 * [taylor]: Taking taylor expansion of 1.0 in x 2.355 * [taylor]: Taking taylor expansion of 1.0 in x 2.374 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.374 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.374 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.374 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.374 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.374 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.374 * [taylor]: Taking taylor expansion of 0.5 in x 2.374 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.374 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.374 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.374 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.375 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.375 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.375 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.375 * [taylor]: Taking taylor expansion of 1.0 in x 2.375 * [taylor]: Taking taylor expansion of 1.0 in x 2.375 * [taylor]: Taking taylor expansion of (* x x) in x 2.375 * [taylor]: Taking taylor expansion of x in x 2.375 * [taylor]: Taking taylor expansion of x in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.378 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.378 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.378 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.378 * [taylor]: Taking taylor expansion of 0.5 in x 2.378 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.378 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.378 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.378 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.378 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [taylor]: Taking taylor expansion of (* x x) in x 2.378 * [taylor]: Taking taylor expansion of x in x 2.378 * [taylor]: Taking taylor expansion of x in x 2.387 * [taylor]: Taking taylor expansion of 1.0 in x 2.387 * [taylor]: Taking taylor expansion of 1.0 in x 2.482 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 2.482 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.482 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.482 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.482 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.482 * [taylor]: Taking taylor expansion of 0.5 in x 2.482 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.482 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.482 * [taylor]: Taking taylor expansion of 1.0 in x 2.482 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.482 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.482 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.482 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.482 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.482 * [taylor]: Taking taylor expansion of 1.0 in x 2.482 * [taylor]: Taking taylor expansion of 1.0 in x 2.482 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.482 * [taylor]: Taking taylor expansion of x in x 2.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.483 * [taylor]: Taking taylor expansion of x in x 2.486 * [taylor]: Taking taylor expansion of 1.0 in x 2.486 * [taylor]: Taking taylor expansion of 1.0 in x 2.486 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 2.486 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 2.486 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.486 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.486 * [taylor]: Taking taylor expansion of 0.5 in x 2.486 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.486 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.486 * [taylor]: Taking taylor expansion of 1.0 in x 2.486 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.486 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.486 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.486 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.486 * [taylor]: Taking taylor expansion of 1.0 in x 2.486 * [taylor]: Taking taylor expansion of 1.0 in x 2.486 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.486 * [taylor]: Taking taylor expansion of x in x 2.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.486 * [taylor]: Taking taylor expansion of x in x 2.489 * [taylor]: Taking taylor expansion of 1.0 in x 2.490 * [taylor]: Taking taylor expansion of 1.0 in x 2.508 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.508 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.508 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.508 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.508 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.508 * [taylor]: Taking taylor expansion of 0.5 in x 2.508 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.508 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.509 * [taylor]: Taking taylor expansion of 1.0 in x 2.509 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.509 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.509 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.509 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.509 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.509 * [taylor]: Taking taylor expansion of 1.0 in x 2.509 * [taylor]: Taking taylor expansion of 1.0 in x 2.509 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.509 * [taylor]: Taking taylor expansion of -1 in x 2.509 * [taylor]: Taking taylor expansion of x in x 2.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.509 * [taylor]: Taking taylor expansion of -1 in x 2.509 * [taylor]: Taking taylor expansion of x in x 2.512 * [taylor]: Taking taylor expansion of 1.0 in x 2.512 * [taylor]: Taking taylor expansion of 1.0 in x 2.512 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.513 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.513 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.513 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.513 * [taylor]: Taking taylor expansion of 0.5 in x 2.513 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.513 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.513 * [taylor]: Taking taylor expansion of 1.0 in x 2.513 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.513 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.513 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.513 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.513 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.513 * [taylor]: Taking taylor expansion of 1.0 in x 2.513 * [taylor]: Taking taylor expansion of 1.0 in x 2.513 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.513 * [taylor]: Taking taylor expansion of -1 in x 2.513 * [taylor]: Taking taylor expansion of x in x 2.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.513 * [taylor]: Taking taylor expansion of -1 in x 2.513 * [taylor]: Taking taylor expansion of x in x 2.517 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [taylor]: Taking taylor expansion of 1.0 in x 2.535 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 2.535 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.535 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.535 * [taylor]: Taking taylor expansion of 1.0 in x 2.535 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.536 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.536 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.536 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.536 * [taylor]: Taking taylor expansion of 1.0 in x 2.536 * [taylor]: Taking taylor expansion of 1.0 in x 2.536 * [taylor]: Taking taylor expansion of (* x x) in x 2.536 * [taylor]: Taking taylor expansion of x in x 2.536 * [taylor]: Taking taylor expansion of x in x 2.539 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.539 * [taylor]: Taking taylor expansion of 1.0 in x 2.539 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.539 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.539 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.539 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.539 * [taylor]: Taking taylor expansion of 1.0 in x 2.539 * [taylor]: Taking taylor expansion of 1.0 in x 2.539 * [taylor]: Taking taylor expansion of (* x x) in x 2.539 * [taylor]: Taking taylor expansion of x in x 2.539 * [taylor]: Taking taylor expansion of x in x 2.586 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.586 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.586 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.586 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.586 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.586 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.586 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.590 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.590 * [taylor]: Taking taylor expansion of 1.0 in x 2.590 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.590 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.590 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.590 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.590 * [taylor]: Taking taylor expansion of 1.0 in x 2.590 * [taylor]: Taking taylor expansion of 1.0 in x 2.590 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.613 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.613 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.613 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.613 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.613 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.613 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.613 * [taylor]: Taking taylor expansion of -1 in x 2.613 * [taylor]: Taking taylor expansion of x in x 2.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.614 * [taylor]: Taking taylor expansion of -1 in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.617 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.617 * [taylor]: Taking taylor expansion of 1.0 in x 2.617 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.617 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.617 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.617 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.617 * [taylor]: Taking taylor expansion of 1.0 in x 2.617 * [taylor]: Taking taylor expansion of 1.0 in x 2.617 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.617 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.617 * [taylor]: Taking taylor expansion of -1 in x 2.617 * [taylor]: Taking taylor expansion of x in x 2.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.618 * [taylor]: Taking taylor expansion of -1 in x 2.618 * [taylor]: Taking taylor expansion of x in x 2.649 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2) 2.649 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.649 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.649 * [taylor]: Taking taylor expansion of 1.0 in x 2.649 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.649 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.649 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.649 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.649 * [taylor]: Taking taylor expansion of 1.0 in x 2.649 * [taylor]: Taking taylor expansion of 1.0 in x 2.649 * [taylor]: Taking taylor expansion of (* x x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.653 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.653 * [taylor]: Taking taylor expansion of 1.0 in x 2.653 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.653 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.653 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.653 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.653 * [taylor]: Taking taylor expansion of 1.0 in x 2.653 * [taylor]: Taking taylor expansion of 1.0 in x 2.653 * [taylor]: Taking taylor expansion of (* x x) in x 2.653 * [taylor]: Taking taylor expansion of x in x 2.653 * [taylor]: Taking taylor expansion of x in x 2.694 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.694 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.694 * [taylor]: Taking taylor expansion of 1.0 in x 2.694 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.694 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.694 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.694 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.694 * [taylor]: Taking taylor expansion of 1.0 in x 2.694 * [taylor]: Taking taylor expansion of 1.0 in x 2.694 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.694 * [taylor]: Taking taylor expansion of x in x 2.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.694 * [taylor]: Taking taylor expansion of x in x 2.697 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.698 * [taylor]: Taking taylor expansion of 1.0 in x 2.698 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.698 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 2.698 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 2.698 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.698 * [taylor]: Taking taylor expansion of 1.0 in x 2.698 * [taylor]: Taking taylor expansion of 1.0 in x 2.698 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.698 * [taylor]: Taking taylor expansion of x in x 2.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.698 * [taylor]: Taking taylor expansion of x in x 2.721 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.721 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.721 * [taylor]: Taking taylor expansion of 1.0 in x 2.721 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.721 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.722 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.722 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.722 * [taylor]: Taking taylor expansion of 1.0 in x 2.722 * [taylor]: Taking taylor expansion of 1.0 in x 2.722 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.722 * [taylor]: Taking taylor expansion of -1 in x 2.722 * [taylor]: Taking taylor expansion of x in x 2.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.722 * [taylor]: Taking taylor expansion of -1 in x 2.722 * [taylor]: Taking taylor expansion of x in x 2.725 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.725 * [taylor]: Taking taylor expansion of 1.0 in x 2.725 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.725 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.725 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.725 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.726 * [taylor]: Taking taylor expansion of 1.0 in x 2.726 * [taylor]: Taking taylor expansion of 1.0 in x 2.726 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.726 * [taylor]: Taking taylor expansion of -1 in x 2.726 * [taylor]: Taking taylor expansion of x in x 2.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.726 * [taylor]: Taking taylor expansion of -1 in x 2.726 * [taylor]: Taking taylor expansion of x in x 2.756 * * * [progress]: simplifying candidates 2.758 * [simplify]: Simplifying using # : (expm1 (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log1p (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (exp (* 1.0 1.0))) (log (* (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log 1) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (exp (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp 1)) (log (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (exp (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (cbrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (* (* (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (sqrt (log (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (* (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) 2.763 * * [simplify]: iteration 0 : 279 enodes (cost 665 ) 2.768 * * [simplify]: iteration 1 : 931 enodes (cost 600 ) 2.786 * * [simplify]: iteration 2 : 4763 enodes (cost 594 ) 2.914 * * [simplify]: iteration 3 : 5001 enodes (cost 592 ) 2.918 * [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)))) (* 1.0 1.0) (* 2 (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))))) (log (cbrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) (log (sqrt (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))))) 0 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) 1 (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (log1p (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (exp (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (* (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (pow (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) 3) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (sqrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (- 0.5 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (- 0.5 (/ 0.5 x)) (/ 0.25 (pow x 3))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (+ (fma 0.375 (/ 1 (pow x 5)) (/ (- 0.5) (pow x 3))) (/ 1.0 x)) (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)) (/ (- 0.5) (pow x 3))) (/ 1.0 x)) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) 2.919 * * * [progress]: adding candidates to table 3.289 * * [progress]: iteration 4 / 4 3.289 * * * [progress]: picking best candidate 3.302 * * * * [pick]: Picked # 3.302 * * * [progress]: localizing error 3.321 * * * [progress]: generating rewritten candidates 3.322 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2 2) 3.325 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.326 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 3.328 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.332 * * * [progress]: generating series expansions 3.332 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2 2) 3.332 * [approximate]: Taking taylor expansion of (/ 0.25 (pow x 2)) in (x) around 0 3.332 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 3.332 * [taylor]: Taking taylor expansion of 0.25 in x 3.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.332 * [taylor]: Taking taylor expansion of x in x 3.333 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 3.333 * [taylor]: Taking taylor expansion of 0.25 in x 3.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.333 * [taylor]: Taking taylor expansion of x in x 3.341 * [approximate]: Taking taylor expansion of (* 0.25 (pow x 2)) in (x) around 0 3.341 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.341 * [taylor]: Taking taylor expansion of 0.25 in x 3.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.341 * [taylor]: Taking taylor expansion of x in x 3.341 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.341 * [taylor]: Taking taylor expansion of 0.25 in x 3.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.341 * [taylor]: Taking taylor expansion of x in x 3.349 * [approximate]: Taking taylor expansion of (* 0.25 (pow x 2)) in (x) around 0 3.349 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.349 * [taylor]: Taking taylor expansion of 0.25 in x 3.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.349 * [taylor]: Taking taylor expansion of x in x 3.349 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.349 * [taylor]: Taking taylor expansion of 0.25 in x 3.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.349 * [taylor]: Taking taylor expansion of x in x 3.358 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.358 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2)))) 0.5) in (x) around 0 3.358 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2)))) 0.5) in x 3.358 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2))))) 0.5) 3.358 * [taylor]: Taking taylor expansion of (* (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2))))) in x 3.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.358 * [taylor]: Taking taylor expansion of x in x 3.358 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.25 (/ 1 (pow x 2)))) in x 3.358 * [taylor]: Taking taylor expansion of 0.5 in x 3.358 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 3.358 * [taylor]: Taking taylor expansion of 0.25 in x 3.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.358 * [taylor]: Taking taylor expansion of x in x 3.359 * [taylor]: Taking taylor expansion of 0.5 in x 3.359 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2)))) 0.5) in x 3.359 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2))))) 0.5) 3.359 * [taylor]: Taking taylor expansion of (* (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2))))) in x 3.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.359 * [taylor]: Taking taylor expansion of x in x 3.359 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.25 (/ 1 (pow x 2)))) in x 3.359 * [taylor]: Taking taylor expansion of 0.5 in x 3.359 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 3.359 * [taylor]: Taking taylor expansion of 0.25 in x 3.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.359 * [taylor]: Taking taylor expansion of x in x 3.360 * [taylor]: Taking taylor expansion of 0.5 in x 3.378 * [approximate]: Taking taylor expansion of (fma x (- 0.5 (* 0.25 (pow x 2))) 0.5) in (x) around 0 3.378 * [taylor]: Taking taylor expansion of (fma x (- 0.5 (* 0.25 (pow x 2))) 0.5) in x 3.378 * [taylor]: Rewrote expression to (+ (* x (- 0.5 (* 0.25 (pow x 2)))) 0.5) 3.378 * [taylor]: Taking taylor expansion of (* x (- 0.5 (* 0.25 (pow x 2)))) in x 3.378 * [taylor]: Taking taylor expansion of x in x 3.378 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.25 (pow x 2))) in x 3.378 * [taylor]: Taking taylor expansion of 0.5 in x 3.378 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.378 * [taylor]: Taking taylor expansion of 0.25 in x 3.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.378 * [taylor]: Taking taylor expansion of x in x 3.379 * [taylor]: Taking taylor expansion of 0.5 in x 3.379 * [taylor]: Taking taylor expansion of (fma x (- 0.5 (* 0.25 (pow x 2))) 0.5) in x 3.379 * [taylor]: Rewrote expression to (+ (* x (- 0.5 (* 0.25 (pow x 2)))) 0.5) 3.379 * [taylor]: Taking taylor expansion of (* x (- 0.5 (* 0.25 (pow x 2)))) in x 3.379 * [taylor]: Taking taylor expansion of x in x 3.379 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.25 (pow x 2))) in x 3.379 * [taylor]: Taking taylor expansion of 0.5 in x 3.379 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.379 * [taylor]: Taking taylor expansion of 0.25 in x 3.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.379 * [taylor]: Taking taylor expansion of x in x 3.379 * [taylor]: Taking taylor expansion of 0.5 in x 3.388 * [approximate]: Taking taylor expansion of (fma (* -1 x) (- 0.5 (* 0.25 (pow x 2))) 0.5) in (x) around 0 3.388 * [taylor]: Taking taylor expansion of (fma (* -1 x) (- 0.5 (* 0.25 (pow x 2))) 0.5) in x 3.389 * [taylor]: Rewrote expression to (+ (* (* -1 x) (- 0.5 (* 0.25 (pow x 2)))) 0.5) 3.389 * [taylor]: Taking taylor expansion of (* (* -1 x) (- 0.5 (* 0.25 (pow x 2)))) in x 3.389 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.389 * [taylor]: Taking taylor expansion of -1 in x 3.389 * [taylor]: Taking taylor expansion of x in x 3.389 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.25 (pow x 2))) in x 3.389 * [taylor]: Taking taylor expansion of 0.5 in x 3.389 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.389 * [taylor]: Taking taylor expansion of 0.25 in x 3.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.389 * [taylor]: Taking taylor expansion of x in x 3.389 * [taylor]: Taking taylor expansion of 0.5 in x 3.389 * [taylor]: Taking taylor expansion of (fma (* -1 x) (- 0.5 (* 0.25 (pow x 2))) 0.5) in x 3.389 * [taylor]: Rewrote expression to (+ (* (* -1 x) (- 0.5 (* 0.25 (pow x 2)))) 0.5) 3.389 * [taylor]: Taking taylor expansion of (* (* -1 x) (- 0.5 (* 0.25 (pow x 2)))) in x 3.389 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.389 * [taylor]: Taking taylor expansion of -1 in x 3.389 * [taylor]: Taking taylor expansion of x in x 3.389 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.25 (pow x 2))) in x 3.389 * [taylor]: Taking taylor expansion of 0.5 in x 3.389 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.389 * [taylor]: Taking taylor expansion of 0.25 in x 3.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.389 * [taylor]: Taking taylor expansion of x in x 3.389 * [taylor]: Taking taylor expansion of 0.5 in x 3.400 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 3.400 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 3.400 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.400 * [taylor]: Taking taylor expansion of 1.0 in x 3.400 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.400 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.400 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.401 * [taylor]: Taking taylor expansion of 1.0 in x 3.401 * [taylor]: Taking taylor expansion of 1.0 in x 3.401 * [taylor]: Taking taylor expansion of (* x x) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.404 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 3.404 * [taylor]: Taking taylor expansion of 1.0 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 3.445 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 3.445 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 3.445 * [taylor]: Taking taylor expansion of 1.0 in x 3.445 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.445 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.445 * [taylor]: Taking taylor expansion of 1.0 in x 3.445 * [taylor]: Taking taylor expansion of 1.0 in x 3.446 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.446 * [taylor]: Taking taylor expansion of x in x 3.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.446 * [taylor]: Taking taylor expansion of x in x 3.449 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 3.449 * [taylor]: Taking taylor expansion of 1.0 in x 3.449 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.449 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.449 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.449 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.449 * [taylor]: Taking taylor expansion of 1.0 in x 3.449 * [taylor]: Taking taylor expansion of 1.0 in x 3.449 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.449 * [taylor]: Taking taylor expansion of x in x 3.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.450 * [taylor]: Taking taylor expansion of x in x 3.479 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 3.480 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.480 * [taylor]: Taking taylor expansion of 1.0 in x 3.480 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.480 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.480 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.480 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.480 * [taylor]: Taking taylor expansion of 1.0 in x 3.480 * [taylor]: Taking taylor expansion of 1.0 in x 3.480 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.480 * [taylor]: Taking taylor expansion of -1 in x 3.480 * [taylor]: Taking taylor expansion of x in x 3.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.480 * [taylor]: Taking taylor expansion of -1 in x 3.480 * [taylor]: Taking taylor expansion of x in x 3.483 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 3.483 * [taylor]: Taking taylor expansion of 1.0 in x 3.483 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.484 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.484 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.484 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.484 * [taylor]: Taking taylor expansion of 1.0 in x 3.484 * [taylor]: Taking taylor expansion of 1.0 in x 3.484 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.484 * [taylor]: Taking taylor expansion of -1 in x 3.484 * [taylor]: Taking taylor expansion of x in x 3.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.484 * [taylor]: Taking taylor expansion of -1 in x 3.484 * [taylor]: Taking taylor expansion of x in x 3.508 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.508 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2)))) 0.5) in (x) around 0 3.508 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2)))) 0.5) in x 3.508 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2))))) 0.5) 3.508 * [taylor]: Taking taylor expansion of (* (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2))))) in x 3.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.508 * [taylor]: Taking taylor expansion of x in x 3.509 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.25 (/ 1 (pow x 2)))) in x 3.509 * [taylor]: Taking taylor expansion of 0.5 in x 3.509 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 3.509 * [taylor]: Taking taylor expansion of 0.25 in x 3.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.509 * [taylor]: Taking taylor expansion of x in x 3.509 * [taylor]: Taking taylor expansion of 0.5 in x 3.509 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2)))) 0.5) in x 3.509 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2))))) 0.5) 3.509 * [taylor]: Taking taylor expansion of (* (/ 1 x) (- 0.5 (* 0.25 (/ 1 (pow x 2))))) in x 3.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.509 * [taylor]: Taking taylor expansion of x in x 3.510 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.25 (/ 1 (pow x 2)))) in x 3.510 * [taylor]: Taking taylor expansion of 0.5 in x 3.510 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 3.510 * [taylor]: Taking taylor expansion of 0.25 in x 3.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.510 * [taylor]: Taking taylor expansion of x in x 3.510 * [taylor]: Taking taylor expansion of 0.5 in x 3.524 * [approximate]: Taking taylor expansion of (fma x (- 0.5 (* 0.25 (pow x 2))) 0.5) in (x) around 0 3.524 * [taylor]: Taking taylor expansion of (fma x (- 0.5 (* 0.25 (pow x 2))) 0.5) in x 3.524 * [taylor]: Rewrote expression to (+ (* x (- 0.5 (* 0.25 (pow x 2)))) 0.5) 3.524 * [taylor]: Taking taylor expansion of (* x (- 0.5 (* 0.25 (pow x 2)))) in x 3.524 * [taylor]: Taking taylor expansion of x in x 3.524 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.25 (pow x 2))) in x 3.524 * [taylor]: Taking taylor expansion of 0.5 in x 3.524 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.524 * [taylor]: Taking taylor expansion of 0.25 in x 3.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.524 * [taylor]: Taking taylor expansion of x in x 3.524 * [taylor]: Taking taylor expansion of 0.5 in x 3.524 * [taylor]: Taking taylor expansion of (fma x (- 0.5 (* 0.25 (pow x 2))) 0.5) in x 3.524 * [taylor]: Rewrote expression to (+ (* x (- 0.5 (* 0.25 (pow x 2)))) 0.5) 3.524 * [taylor]: Taking taylor expansion of (* x (- 0.5 (* 0.25 (pow x 2)))) in x 3.524 * [taylor]: Taking taylor expansion of x in x 3.524 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.25 (pow x 2))) in x 3.524 * [taylor]: Taking taylor expansion of 0.5 in x 3.524 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.524 * [taylor]: Taking taylor expansion of 0.25 in x 3.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.524 * [taylor]: Taking taylor expansion of x in x 3.524 * [taylor]: Taking taylor expansion of 0.5 in x 3.535 * [approximate]: Taking taylor expansion of (fma (* -1 x) (- 0.5 (* 0.25 (pow x 2))) 0.5) in (x) around 0 3.535 * [taylor]: Taking taylor expansion of (fma (* -1 x) (- 0.5 (* 0.25 (pow x 2))) 0.5) in x 3.535 * [taylor]: Rewrote expression to (+ (* (* -1 x) (- 0.5 (* 0.25 (pow x 2)))) 0.5) 3.535 * [taylor]: Taking taylor expansion of (* (* -1 x) (- 0.5 (* 0.25 (pow x 2)))) in x 3.535 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.535 * [taylor]: Taking taylor expansion of -1 in x 3.535 * [taylor]: Taking taylor expansion of x in x 3.535 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.25 (pow x 2))) in x 3.535 * [taylor]: Taking taylor expansion of 0.5 in x 3.535 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.535 * [taylor]: Taking taylor expansion of 0.25 in x 3.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.535 * [taylor]: Taking taylor expansion of x in x 3.535 * [taylor]: Taking taylor expansion of 0.5 in x 3.535 * [taylor]: Taking taylor expansion of (fma (* -1 x) (- 0.5 (* 0.25 (pow x 2))) 0.5) in x 3.535 * [taylor]: Rewrote expression to (+ (* (* -1 x) (- 0.5 (* 0.25 (pow x 2)))) 0.5) 3.535 * [taylor]: Taking taylor expansion of (* (* -1 x) (- 0.5 (* 0.25 (pow x 2)))) in x 3.535 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.535 * [taylor]: Taking taylor expansion of -1 in x 3.535 * [taylor]: Taking taylor expansion of x in x 3.535 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.25 (pow x 2))) in x 3.535 * [taylor]: Taking taylor expansion of 0.5 in x 3.535 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.535 * [taylor]: Taking taylor expansion of 0.25 in x 3.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.535 * [taylor]: Taking taylor expansion of x in x 3.535 * [taylor]: Taking taylor expansion of 0.5 in x 3.553 * * * [progress]: simplifying candidates 3.555 * [simplify]: Simplifying using # : (expm1 (/ 0.25 (pow x 2))) (log1p (/ 0.25 (pow x 2))) (- (log 0.25) (* (log x) 2)) (- (log 0.25) (* (log x) 2)) (- (log 0.25) (log (pow x 2))) (log (/ 0.25 (pow x 2))) (exp (/ 0.25 (pow x 2))) (/ (* (* 0.25 0.25) 0.25) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (/ 0.25 (pow x 2))) (cbrt (/ 0.25 (pow x 2)))) (cbrt (/ 0.25 (pow x 2))) (* (* (/ 0.25 (pow x 2)) (/ 0.25 (pow x 2))) (/ 0.25 (pow x 2))) (sqrt (/ 0.25 (pow x 2))) (sqrt (/ 0.25 (pow x 2))) (- 0.25) (- (pow x 2)) (/ (* (cbrt 0.25) (cbrt 0.25)) (pow (* (cbrt x) (cbrt x)) 2)) (/ (cbrt 0.25) (pow (cbrt x) 2)) (/ (* (cbrt 0.25) (cbrt 0.25)) (pow (sqrt x) 2)) (/ (cbrt 0.25) (pow (sqrt x) 2)) (/ (* (cbrt 0.25) (cbrt 0.25)) (pow 1 2)) (/ (cbrt 0.25) (pow x 2)) (/ (* (cbrt 0.25) (cbrt 0.25)) x) (/ (cbrt 0.25) x) (/ (* (cbrt 0.25) (cbrt 0.25)) (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ (cbrt 0.25) (cbrt (pow x 2))) (/ (* (cbrt 0.25) (cbrt 0.25)) (sqrt (pow x 2))) (/ (cbrt 0.25) (sqrt (pow x 2))) (/ (* (cbrt 0.25) (cbrt 0.25)) 1) (/ (cbrt 0.25) (pow x 2)) (/ (* (cbrt 0.25) (cbrt 0.25)) (pow x (/ 2 2))) (/ (cbrt 0.25) (pow x (/ 2 2))) (/ (sqrt 0.25) (pow (* (cbrt x) (cbrt x)) 2)) (/ (sqrt 0.25) (pow (cbrt x) 2)) (/ (sqrt 0.25) (pow (sqrt x) 2)) (/ (sqrt 0.25) (pow (sqrt x) 2)) (/ (sqrt 0.25) (pow 1 2)) (/ (sqrt 0.25) (pow x 2)) (/ (sqrt 0.25) x) (/ (sqrt 0.25) x) (/ (sqrt 0.25) (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ (sqrt 0.25) (cbrt (pow x 2))) (/ (sqrt 0.25) (sqrt (pow x 2))) (/ (sqrt 0.25) (sqrt (pow x 2))) (/ (sqrt 0.25) 1) (/ (sqrt 0.25) (pow x 2)) (/ (sqrt 0.25) (pow x (/ 2 2))) (/ (sqrt 0.25) (pow x (/ 2 2))) (/ 1 (pow (* (cbrt x) (cbrt x)) 2)) (/ 0.25 (pow (cbrt x) 2)) (/ 1 (pow (sqrt x) 2)) (/ 0.25 (pow (sqrt x) 2)) (/ 1 (pow 1 2)) (/ 0.25 (pow x 2)) (/ 1 x) (/ 0.25 x) (/ 1 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ 0.25 (cbrt (pow x 2))) (/ 1 (sqrt (pow x 2))) (/ 0.25 (sqrt (pow x 2))) (/ 1 1) (/ 0.25 (pow x 2)) (/ 1 (pow x (/ 2 2))) (/ 0.25 (pow x (/ 2 2))) (/ 1 (pow x 2)) (/ (pow x 2) 0.25) (/ 0.25 (pow (* (cbrt x) (cbrt x)) 2)) (/ 0.25 (pow (sqrt x) 2)) (/ 0.25 (pow 1 2)) (/ 0.25 x) (/ 0.25 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ 0.25 (sqrt (pow x 2))) (/ 0.25 1) (/ 0.25 (pow x (/ 2 2))) (/ (pow x 2) (cbrt 0.25)) (/ (pow x 2) (sqrt 0.25)) (/ (pow x 2) 0.25) (expm1 (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (log1p (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (* (/ 1 x) (- 0.5 (/ 0.25 (pow x 2)))) (log (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (* (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5))) (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (* (* (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (sqrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (sqrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (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 (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (log1p (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (log (exp (* (/ 1 x) (- 0.5 (/ 0.25 (pow x 2)))))) (log (exp 0.5)) (log (* (cbrt (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5))) (cbrt (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5))))) (log (cbrt (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (log (sqrt (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (log (sqrt (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (log 1) (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5))) (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5))) (log (exp (* (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5))))) (log (exp (sqrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (log (exp 1)) (log (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (exp (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (* (cbrt (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (cbrt (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5))))) (cbrt (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (* (* (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5))) (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (sqrt (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (sqrt (log (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (/ 0.25 (pow x 2)) (/ 0.25 (pow x 2)) (/ 0.25 (pow x 2)) (- (+ (* 0.5 (/ 1 x)) 0.5) (* 0.25 (/ 1 (pow x 3)))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 0.5 (/ 1 x)) 0.5) (* 0.25 (/ 1 (pow x 3)))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) 3.561 * * [simplify]: iteration 0 : 385 enodes (cost 690 ) 3.568 * * [simplify]: iteration 1 : 1407 enodes (cost 615 ) 3.592 * * [simplify]: iteration 2 : 5002 enodes (cost 599 ) 3.595 * [simplify]: Simplified to: (expm1 (/ 0.25 (pow x 2))) (log1p (/ 0.25 (pow x 2))) (log (/ 0.25 (pow x 2))) (log (/ 0.25 (pow x 2))) (log (/ 0.25 (pow x 2))) (log (/ 0.25 (pow x 2))) (exp (/ 0.25 (pow x 2))) (pow (/ 0.25 (pow x 2)) 3) (* (cbrt (/ 0.25 (pow x 2))) (cbrt (/ 0.25 (pow x 2)))) (cbrt (/ 0.25 (pow x 2))) (pow (/ 0.25 (pow x 2)) 3) (sqrt (/ 0.25 (pow x 2))) (sqrt (/ 0.25 (pow x 2))) (- 0.25) (- (pow x 2)) (* (/ (cbrt 0.25) (pow (cbrt x) 4)) (cbrt 0.25)) (/ (cbrt 0.25) (pow (cbrt x) 2)) (/ (cbrt 0.25) (/ x (cbrt 0.25))) (/ (cbrt 0.25) x) (* (cbrt 0.25) (cbrt 0.25)) (/ (cbrt 0.25) (pow x 2)) (/ (cbrt 0.25) (/ x (cbrt 0.25))) (/ (cbrt 0.25) x) (/ (* (cbrt 0.25) (cbrt 0.25)) (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ (cbrt 0.25) (cbrt (pow x 2))) (/ (* (cbrt 0.25) (cbrt 0.25)) (fabs x)) (/ (/ (cbrt 0.25) 1) (fabs x)) (* (cbrt 0.25) (cbrt 0.25)) (/ (cbrt 0.25) (pow x 2)) (/ (cbrt 0.25) (/ x (cbrt 0.25))) (/ (cbrt 0.25) x) (/ (sqrt 0.25) (pow (cbrt x) 4)) (/ (sqrt 0.25) (pow (cbrt x) 2)) (/ (sqrt 0.25) x) (/ (sqrt 0.25) x) (sqrt 0.25) (/ (sqrt 0.25) (pow x 2)) (/ (sqrt 0.25) x) (/ (sqrt 0.25) x) (/ (sqrt 0.25) (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ (sqrt 0.25) (cbrt (pow x 2))) (/ (sqrt 0.25) (fabs x)) (/ (sqrt 0.25) (fabs x)) (sqrt 0.25) (/ (sqrt 0.25) (pow x 2)) (/ (sqrt 0.25) x) (/ (sqrt 0.25) x) (/ 1 (pow (cbrt x) 4)) (/ 0.25 (pow (cbrt x) 2)) (/ 1 x) (/ 0.25 x) 1 (/ 0.25 (pow x 2)) (/ 1 x) (/ 0.25 x) (/ 1 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ 0.25 (cbrt (pow x 2))) (/ 1 (fabs x)) (/ 0.25 (fabs x)) 1 (/ 0.25 (pow x 2)) (/ 1 x) (/ 0.25 x) (/ 1 (pow x 2)) (/ (pow x 2) 0.25) (/ 0.25 (pow (cbrt x) 4)) (/ 0.25 x) 0.25 (/ 0.25 x) (/ 0.25 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ 0.25 (fabs x)) 0.25 (/ 0.25 x) (/ (pow x 2) (cbrt 0.25)) (/ (pow x 2) (sqrt 0.25)) (/ (pow x 2) 0.25) (expm1 (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (log1p (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (* (/ 1 x) (- 0.5 (/ 0.25 (pow x 2)))) (log (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (* (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5))) (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (pow (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) 3) (sqrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (sqrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (log1p (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (* (/ 1 x) (- 0.5 (/ 0.25 (pow x 2)))) 0.5 (* 2 (log (cbrt (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5))))) (log (cbrt (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (log (sqrt (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) (log (sqrt (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)))) 0 (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (* (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5))) (sqrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) 1 (log (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (exp (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (* (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5))) (cbrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (pow (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) 3) (sqrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (sqrt (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5)) (/ 0.25 (pow x 2)) (/ 0.25 (pow x 2)) (/ 0.25 (pow x 2)) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) (fma (/ 1 x) (- 0.5 (/ 0.25 (pow x 2))) 0.5) 3.596 * * * [progress]: adding candidates to table 4.015 * [progress]: [Phase 3 of 3] Extracting. 4.015 * * [regime]: Finding splitpoints for: (# # #) 4.016 * * * [regime-changes]: Trying 4 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) x) 4.016 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 4.040 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 4.069 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # #) 4.091 * * * * [regimes]: Trying to branch on x from (# # #) 4.122 * * * [regime]: Found split indices: #