17.411 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.032 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.034 * * [simplify]: iteration 1 : 26 enodes (cost 6 ) 0.035 * * [simplify]: iteration 2 : 33 enodes (cost 6 ) 0.036 * * [simplify]: iteration 3 : 35 enodes (cost 6 ) 0.038 * * [simplify]: iteration 4 : 41 enodes (cost 6 ) 0.039 * * [simplify]: iteration 5 : 44 enodes (cost 6 ) 0.041 * * [simplify]: iteration 6 : 44 enodes (cost 6 ) 0.041 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.055 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2 2) 0.059 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.070 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.070 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.070 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.070 * [taylor]: Taking taylor expansion of 0.5 in x 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.071 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.071 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.071 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.071 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (* x x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.080 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.080 * [taylor]: Taking taylor expansion of 0.5 in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.081 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.081 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.081 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.081 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.081 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.081 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (* x x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [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 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.341 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.341 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.341 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.341 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.341 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.341 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.347 * [taylor]: Taking taylor expansion of 0.5 in x 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.348 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.348 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.348 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.353 * [taylor]: Taking taylor expansion of 0.5 in x 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.398 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.398 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.398 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.398 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.398 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.398 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.398 * [taylor]: Taking taylor expansion of -1 in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.399 * [taylor]: Taking taylor expansion of -1 in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.404 * [taylor]: Taking taylor expansion of 0.5 in x 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.405 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.405 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.405 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.405 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.405 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.405 * [taylor]: Taking taylor expansion of -1 in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.405 * [taylor]: Taking taylor expansion of -1 in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.411 * [taylor]: Taking taylor expansion of 0.5 in x 0.454 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2 2) 0.454 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.454 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.454 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.454 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.454 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (* x x) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.458 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.458 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.458 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (* x x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.499 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.500 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.500 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.500 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.503 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.503 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.503 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.528 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.528 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.528 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.528 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.528 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.528 * [taylor]: Taking taylor expansion of -1 in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.529 * [taylor]: Taking taylor expansion of -1 in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.532 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.532 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.532 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.532 * [taylor]: Taking taylor expansion of -1 in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.533 * [taylor]: Taking taylor expansion of -1 in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.563 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.564 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.564 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.564 * [taylor]: Taking taylor expansion of 0.5 in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.564 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.565 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.565 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.565 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.565 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.565 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (* x x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.574 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.574 * [taylor]: Taking taylor expansion of 0.5 in x 0.575 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.575 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.575 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.575 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.575 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 0.575 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 0.575 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [taylor]: Taking taylor expansion of (* x x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.772 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.772 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.772 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.772 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.772 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.772 * [taylor]: Taking taylor expansion of 1.0 in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.772 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.773 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.773 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.773 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.773 * [taylor]: Taking taylor expansion of 1.0 in x 0.773 * [taylor]: Taking taylor expansion of 1.0 in x 0.773 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of 1.0 in x 0.778 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.778 * [taylor]: Taking taylor expansion of 0.5 in x 0.779 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.779 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.779 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.779 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.779 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.779 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 0.779 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 0.779 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.785 * [taylor]: Taking taylor expansion of 0.5 in x 0.817 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.817 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.817 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.817 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.817 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.817 * [taylor]: Taking taylor expansion of 1.0 in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.817 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.817 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.817 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.817 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.817 * [taylor]: Taking taylor expansion of 1.0 in x 0.817 * [taylor]: Taking taylor expansion of 1.0 in x 0.817 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.817 * [taylor]: Taking taylor expansion of -1 in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.818 * [taylor]: Taking taylor expansion of -1 in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.823 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.823 * [taylor]: Taking taylor expansion of 0.5 in x 0.824 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.824 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.824 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.824 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.824 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.824 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 0.824 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 0.824 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.825 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.825 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of 1.0 in x 0.830 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.830 * [taylor]: Taking taylor expansion of 0.5 in x 0.854 * * * [progress]: simplifying candidates 0.856 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (fma (- (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1 1.0 (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (fma (- (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (fma 1 1.0 (- (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma (- (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 1 1.0 (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1))) (fma (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1 (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) 1.0)) (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) 1.0) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5)))) (- (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) 1.0)) (* (sqrt 1.0) (sqrt 0.5))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)))) (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 0.375 (/ 1 (pow x 5))) (* 1.0 (/ 1 x))) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (+ (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (* (sqrt 1.0) (sqrt 0.5))) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (* (sqrt 1.0) (sqrt 0.5)) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 0.864 * * [simplify]: iteration 0 : 488 enodes (cost 1022 ) 0.873 * * [simplify]: iteration 1 : 1852 enodes (cost 782 ) 0.905 * * [simplify]: iteration 2 : 5003 enodes (cost 780 ) 0.910 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5)))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5))) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (- (sqrt 0.5)) (sqrt 0.5))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (+ (- 1) 1)) (expm1 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (expm1 (/ 1.0 (hypot 1.0 x))) (log1p (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (expm1 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log1p (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma (* 0.25 (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (- (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) 1.0) (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- 1.0 (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (* (sqrt 1.0) (sqrt 0.5))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (- (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) 1.0) (* (sqrt 1.0) (sqrt 0.5)))) (fma (- 0.5) (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 0.375 (/ (pow x 4) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0)))) (fma 0.375 (/ 1 (pow x 5)) (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 1.0 (/ 1 x) (* 0.375 (/ 1 (pow x 5)))))) (fma (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (fma 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (* (sqrt 1.0) (sqrt 0.5)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 1.0) (sqrt 0.5) (- (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) 0.910 * * * [progress]: adding candidates to table 1.143 * * [progress]: iteration 2 / 4 1.143 * * * [progress]: picking best candidate 1.161 * * * * [pick]: Picked # 1.161 * * * [progress]: localizing error 1.179 * * * [progress]: generating rewritten candidates 1.179 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.180 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.183 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.187 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.193 * * * [progress]: generating series expansions 1.193 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.194 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 1.194 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.194 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.194 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.194 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.194 * [taylor]: Taking taylor expansion of 0.5 in x 1.194 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.194 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.195 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.195 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.195 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.195 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (* x x) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of 1.0 in x 1.198 * [taylor]: Taking taylor expansion of 1.0 in x 1.198 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 1.198 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 1.199 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.199 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.199 * [taylor]: Taking taylor expansion of 0.5 in x 1.199 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.199 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.199 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.199 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.199 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.199 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of (* x x) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of 1.0 in x 1.202 * [taylor]: Taking taylor expansion of 1.0 in x 1.302 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in (x) around 0 1.302 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.302 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.303 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.303 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.303 * [taylor]: Taking taylor expansion of 0.5 in x 1.303 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.303 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.303 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.303 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.303 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.303 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) 1.0) in x 1.307 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) 1.0) 1.307 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.307 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.307 * [taylor]: Taking taylor expansion of 0.5 in x 1.307 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.307 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.307 * [taylor]: Taking taylor expansion of 1.0 in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.307 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.307 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.307 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.307 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.307 * [taylor]: Taking taylor expansion of 1.0 in x 1.307 * [taylor]: Taking taylor expansion of 1.0 in x 1.307 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 1.330 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.330 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.330 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.331 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.331 * [taylor]: Taking taylor expansion of 0.5 in x 1.331 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.331 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.331 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.331 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.331 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.331 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.331 * [taylor]: Taking taylor expansion of -1 in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.331 * [taylor]: Taking taylor expansion of -1 in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 1.335 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 1.335 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.335 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.335 * [taylor]: Taking taylor expansion of 0.5 in x 1.335 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.335 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.335 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.335 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.335 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.335 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.335 * [taylor]: Taking taylor expansion of -1 in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.335 * [taylor]: Taking taylor expansion of -1 in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.364 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.364 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.364 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.364 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of (* x x) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.367 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.367 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (* x x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.413 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.413 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.413 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.413 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.413 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.417 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.417 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.417 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.417 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.417 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.441 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.441 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.441 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.441 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.441 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.441 * [taylor]: Taking taylor expansion of -1 in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.442 * [taylor]: Taking taylor expansion of -1 in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.453 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.453 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.453 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.453 * [taylor]: Taking taylor expansion of -1 in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.453 * [taylor]: Taking taylor expansion of -1 in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.478 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.478 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.478 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.479 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.479 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.479 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.479 * [taylor]: Taking taylor expansion of 1.0 in x 1.479 * [taylor]: Taking taylor expansion of 1.0 in x 1.479 * [taylor]: Taking taylor expansion of (* x x) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.482 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.482 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.482 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (* x x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.524 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.524 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.524 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.524 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.524 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.525 * [taylor]: Taking taylor expansion of 1.0 in x 1.525 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.528 * [taylor]: Taking taylor expansion of 1.0 in x 1.528 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.529 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.529 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.529 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.529 * [taylor]: Taking taylor expansion of 1.0 in x 1.529 * [taylor]: Taking taylor expansion of 1.0 in x 1.529 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.558 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.558 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.558 * [taylor]: Taking taylor expansion of 1.0 in x 1.558 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.559 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.559 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.559 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.562 * [taylor]: Taking taylor expansion of 1.0 in x 1.562 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.563 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.563 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.563 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.563 * [taylor]: Taking taylor expansion of 1.0 in x 1.563 * [taylor]: Taking taylor expansion of 1.0 in x 1.563 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.563 * [taylor]: Taking taylor expansion of -1 in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.563 * [taylor]: Taking taylor expansion of -1 in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.587 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.587 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.587 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.587 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.587 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.587 * [taylor]: Taking taylor expansion of 0.5 in x 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.588 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.588 * [taylor]: Taking taylor expansion of 1.0 in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.588 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.588 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.588 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.588 * [taylor]: Taking taylor expansion of 1.0 in x 1.588 * [taylor]: Taking taylor expansion of 1.0 in x 1.588 * [taylor]: Taking taylor expansion of (* x x) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 1.598 * [taylor]: Taking taylor expansion of 1.0 in x 1.598 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.598 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.598 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.598 * [taylor]: Taking taylor expansion of 0.5 in x 1.599 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.599 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.599 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.599 * [taylor]: Taking taylor expansion of 1.0 in x 1.599 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.599 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.599 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 1.599 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 1.599 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.599 * [taylor]: Taking taylor expansion of 1.0 in x 1.599 * [taylor]: Taking taylor expansion of 1.0 in x 1.599 * [taylor]: Taking taylor expansion of (* x x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.602 * [taylor]: Taking taylor expansion of 1.0 in x 1.608 * [taylor]: Taking taylor expansion of 1.0 in x 1.827 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.827 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.827 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.827 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.827 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.827 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.827 * [taylor]: Taking taylor expansion of 1.0 in x 1.827 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.827 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.827 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.828 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.828 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.828 * [taylor]: Taking taylor expansion of 1.0 in x 1.828 * [taylor]: Taking taylor expansion of 1.0 in x 1.828 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.828 * [taylor]: Taking taylor expansion of x in x 1.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.828 * [taylor]: Taking taylor expansion of x in x 1.831 * [taylor]: Taking taylor expansion of 1.0 in x 1.833 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.833 * [taylor]: Taking taylor expansion of 0.5 in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.834 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.834 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.834 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.834 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.834 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 1.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 1.834 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.838 * [taylor]: Taking taylor expansion of 1.0 in x 1.840 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.840 * [taylor]: Taking taylor expansion of 0.5 in x 1.840 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.871 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.871 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.871 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.871 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.871 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.871 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.871 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.871 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.871 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.871 * [taylor]: Taking taylor expansion of -1 in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.872 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.872 * [taylor]: Taking taylor expansion of -1 in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.875 * [taylor]: Taking taylor expansion of 1.0 in x 1.886 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.887 * [taylor]: Taking taylor expansion of 0.5 in x 1.888 * [taylor]: Taking taylor expansion of 1.0 in x 1.888 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.888 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.888 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.888 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.888 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.888 * [taylor]: Taking taylor expansion of 1.0 in x 1.888 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.888 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.888 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 1.888 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 1.888 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.888 * [taylor]: Taking taylor expansion of 1.0 in x 1.888 * [taylor]: Taking taylor expansion of 1.0 in x 1.888 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.888 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.888 * [taylor]: Taking taylor expansion of -1 in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.889 * [taylor]: Taking taylor expansion of -1 in x 1.889 * [taylor]: Taking taylor expansion of x in x 1.894 * [taylor]: Taking taylor expansion of 1.0 in x 1.897 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.897 * [taylor]: Taking taylor expansion of 0.5 in x 1.898 * [taylor]: Taking taylor expansion of 1.0 in x 1.931 * * * [progress]: simplifying candidates 1.932 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (* 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))))) (- (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) (+ (* 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) 1.0)) (+ (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))))) (- (+ (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0)) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))))) (- (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) (+ (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0)))))) 1.938 * * [simplify]: iteration 0 : 430 enodes (cost 681 ) 1.946 * * [simplify]: iteration 1 : 1662 enodes (cost 625 ) 1.972 * * [simplify]: iteration 2 : 5001 enodes (cost 623 ) 1.976 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log1p (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (fma 1.0 1.0 (fma 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (fma 1.0 1.0 (* (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (- 0.5) (/ (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 (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (- (fma 0.1875 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) 1.0) (fma 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (* 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))))) (fma 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))) (- (fma (sqrt 1.0) (sqrt 0.5) 1.0) (* 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))))) (fma (sqrt 0.5) (sqrt 1.0) (- 1.0 (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) 1.977 * * * [progress]: adding candidates to table 2.334 * * [progress]: iteration 3 / 4 2.335 * * * [progress]: picking best candidate 2.348 * * * * [pick]: Picked # 2.348 * * * [progress]: localizing error 2.365 * * * [progress]: generating rewritten candidates 2.365 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.366 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.370 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.373 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.377 * * * [progress]: generating series expansions 2.378 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.378 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in (x) around 0 2.378 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.379 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.379 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.379 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.379 * [taylor]: Taking taylor expansion of 0.5 in x 2.379 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.379 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.379 * [taylor]: Taking taylor expansion of 1.0 in x 2.379 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.379 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.379 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.379 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.379 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.379 * [taylor]: Taking taylor expansion of 1.0 in x 2.379 * [taylor]: Taking taylor expansion of 1.0 in x 2.379 * [taylor]: Taking taylor expansion of (* x x) in x 2.379 * [taylor]: Taking taylor expansion of x in x 2.379 * [taylor]: Taking taylor expansion of x in x 2.382 * [taylor]: Taking taylor expansion of 1.0 in x 2.382 * [taylor]: Taking taylor expansion of 1.0 in x 2.382 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 1.0) in x 2.382 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 1.0) 2.382 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.382 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.382 * [taylor]: Taking taylor expansion of 0.5 in x 2.382 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.382 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.382 * [taylor]: Taking taylor expansion of 1.0 in x 2.382 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.382 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.383 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.383 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.383 * [taylor]: Taking taylor expansion of 1.0 in x 2.383 * [taylor]: Taking taylor expansion of 1.0 in x 2.383 * [taylor]: Taking taylor expansion of (* x x) in x 2.383 * [taylor]: Taking taylor expansion of x in x 2.383 * [taylor]: Taking taylor expansion of x in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.482 * [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 2.482 * [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 2.487 * [taylor]: Taking taylor expansion of 1.0 in x 2.487 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.487 * [taylor]: Taking taylor expansion of x in x 2.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.487 * [taylor]: Taking taylor expansion of x in x 2.490 * [taylor]: Taking taylor expansion of 1.0 in x 2.490 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [approximate]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in (x) around 0 2.517 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.517 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.517 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.517 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.517 * [taylor]: Taking taylor expansion of 0.5 in x 2.517 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.517 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.517 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.517 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.517 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.517 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.517 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.517 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.517 * [taylor]: Taking taylor expansion of -1 in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.518 * [taylor]: Taking taylor expansion of -1 in x 2.518 * [taylor]: Taking taylor expansion of x in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * [taylor]: Taking taylor expansion of (fma (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) 1.0) in x 2.521 * [taylor]: Rewrote expression to (+ (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) 1.0) 2.521 * [taylor]: Taking taylor expansion of (* (- 0.5) (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.521 * [taylor]: Taking taylor expansion of (- 0.5) in x 2.521 * [taylor]: Taking taylor expansion of 0.5 in x 2.521 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.522 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.522 * [taylor]: Taking taylor expansion of 1.0 in x 2.522 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.522 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.522 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 2.522 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 2.522 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.522 * [taylor]: Taking taylor expansion of 1.0 in x 2.522 * [taylor]: Taking taylor expansion of 1.0 in x 2.522 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.522 * [taylor]: Taking taylor expansion of -1 in x 2.522 * [taylor]: Taking taylor expansion of x in x 2.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.522 * [taylor]: Taking taylor expansion of -1 in x 2.522 * [taylor]: Taking taylor expansion of x in x 2.526 * [taylor]: Taking taylor expansion of 1.0 in x 2.526 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.545 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in (x) around 0 2.545 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 2.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 2.545 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 2.545 * [taylor]: Taking taylor expansion of 1/3 in x 2.545 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.545 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.545 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.545 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.545 * [taylor]: Taking taylor expansion of 0.5 in x 2.545 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.546 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.546 * [taylor]: Taking taylor expansion of 1.0 in x 2.546 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.546 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.546 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.546 * [taylor]: Taking taylor expansion of 1.0 in x 2.546 * [taylor]: Taking taylor expansion of 1.0 in x 2.546 * [taylor]: Taking taylor expansion of (* x x) in x 2.546 * [taylor]: Taking taylor expansion of x in x 2.546 * [taylor]: Taking taylor expansion of x in x 2.549 * [taylor]: Taking taylor expansion of 1.0 in x 2.555 * [taylor]: Taking taylor expansion of 1.0 in x 2.579 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 2.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 2.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 2.579 * [taylor]: Taking taylor expansion of 1/3 in x 2.579 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.579 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.579 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.579 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.579 * [taylor]: Taking taylor expansion of 0.5 in x 2.580 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.580 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.580 * [taylor]: Taking taylor expansion of 1.0 in x 2.580 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.580 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 2.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 2.581 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 2.581 * [taylor]: Taking taylor expansion of 1.0 in x 2.581 * [taylor]: Taking taylor expansion of 1.0 in x 2.581 * [taylor]: Taking taylor expansion of (* x x) in x 2.581 * [taylor]: Taking taylor expansion of x in x 2.581 * [taylor]: Taking taylor expansion of x in x 2.584 * [taylor]: Taking taylor expansion of 1.0 in x 2.596 * [taylor]: Taking taylor expansion of 1.0 in x 3.365 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 3.365 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 3.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 3.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 3.365 * [taylor]: Taking taylor expansion of 1/3 in x 3.365 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.365 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.365 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.365 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.365 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.365 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.365 * [taylor]: Taking taylor expansion of 1.0 in x 3.365 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.365 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.365 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.365 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.365 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.365 * [taylor]: Taking taylor expansion of 1.0 in x 3.365 * [taylor]: Taking taylor expansion of 1.0 in x 3.365 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.365 * [taylor]: Taking taylor expansion of x in x 3.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.366 * [taylor]: Taking taylor expansion of x in x 3.369 * [taylor]: Taking taylor expansion of 1.0 in x 3.371 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.371 * [taylor]: Taking taylor expansion of 0.5 in x 3.371 * [taylor]: Taking taylor expansion of 1.0 in x 3.381 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 3.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 3.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 3.381 * [taylor]: Taking taylor expansion of 1/3 in x 3.381 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.381 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.381 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 3.381 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 3.382 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 3.382 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 3.382 * [taylor]: Taking taylor expansion of 1.0 in x 3.382 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 3.382 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 3.382 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 3.382 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 3.382 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.382 * [taylor]: Taking taylor expansion of 1.0 in x 3.382 * [taylor]: Taking taylor expansion of 1.0 in x 3.382 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.382 * [taylor]: Taking taylor expansion of x in x 3.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.382 * [taylor]: Taking taylor expansion of x in x 3.385 * [taylor]: Taking taylor expansion of 1.0 in x 3.387 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.387 * [taylor]: Taking taylor expansion of 0.5 in x 3.388 * [taylor]: Taking taylor expansion of 1.0 in x 3.600 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 3.601 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 3.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 3.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 3.601 * [taylor]: Taking taylor expansion of 1/3 in x 3.601 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.601 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.601 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.601 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.601 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.601 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.601 * [taylor]: Taking taylor expansion of 1.0 in x 3.601 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.601 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.601 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.601 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.601 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.601 * [taylor]: Taking taylor expansion of 1.0 in x 3.601 * [taylor]: Taking taylor expansion of 1.0 in x 3.601 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.601 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.601 * [taylor]: Taking taylor expansion of -1 in x 3.601 * [taylor]: Taking taylor expansion of x in x 3.602 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.602 * [taylor]: Taking taylor expansion of -1 in x 3.602 * [taylor]: Taking taylor expansion of x in x 3.605 * [taylor]: Taking taylor expansion of 1.0 in x 3.607 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.607 * [taylor]: Taking taylor expansion of 0.5 in x 3.608 * [taylor]: Taking taylor expansion of 1.0 in x 3.618 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 3.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 3.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 3.618 * [taylor]: Taking taylor expansion of 1/3 in x 3.618 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 3.618 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 3.618 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 3.618 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 3.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 3.618 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 3.618 * [taylor]: Taking taylor expansion of 1.0 in x 3.618 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 3.618 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 3.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 3.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 3.618 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.618 * [taylor]: Taking taylor expansion of 1.0 in x 3.618 * [taylor]: Taking taylor expansion of 1.0 in x 3.618 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.618 * [taylor]: Taking taylor expansion of -1 in x 3.618 * [taylor]: Taking taylor expansion of x in x 3.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.619 * [taylor]: Taking taylor expansion of -1 in x 3.619 * [taylor]: Taking taylor expansion of x in x 3.622 * [taylor]: Taking taylor expansion of 1.0 in x 3.624 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.624 * [taylor]: Taking taylor expansion of 0.5 in x 3.625 * [taylor]: Taking taylor expansion of 1.0 in x 3.850 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.850 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in (x) around 0 3.850 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 3.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 3.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 3.850 * [taylor]: Taking taylor expansion of 1/3 in x 3.850 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.850 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.850 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.851 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.851 * [taylor]: Taking taylor expansion of 0.5 in x 3.851 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.851 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.851 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.851 * [taylor]: Taking taylor expansion of 1.0 in x 3.851 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.851 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.852 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.852 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.852 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.852 * [taylor]: Taking taylor expansion of 1.0 in x 3.852 * [taylor]: Taking taylor expansion of 1.0 in x 3.852 * [taylor]: Taking taylor expansion of (* x x) in x 3.852 * [taylor]: Taking taylor expansion of x in x 3.852 * [taylor]: Taking taylor expansion of x in x 3.855 * [taylor]: Taking taylor expansion of 1.0 in x 3.861 * [taylor]: Taking taylor expansion of 1.0 in x 3.885 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 3.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 3.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 3.885 * [taylor]: Taking taylor expansion of 1/3 in x 3.885 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 3.885 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 3.885 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 3.885 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 3.885 * [taylor]: Taking taylor expansion of 0.5 in x 3.886 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 3.886 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 3.886 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 3.886 * [taylor]: Taking taylor expansion of 1.0 in x 3.886 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 3.886 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 3.886 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 3.886 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 3.886 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 3.886 * [taylor]: Taking taylor expansion of 1.0 in x 3.886 * [taylor]: Taking taylor expansion of 1.0 in x 3.886 * [taylor]: Taking taylor expansion of (* x x) in x 3.886 * [taylor]: Taking taylor expansion of x in x 3.886 * [taylor]: Taking taylor expansion of x in x 3.889 * [taylor]: Taking taylor expansion of 1.0 in x 3.895 * [taylor]: Taking taylor expansion of 1.0 in x 4.670 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 4.670 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 4.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.670 * [taylor]: Taking taylor expansion of 1/3 in x 4.670 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.670 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.670 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.670 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.670 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.670 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.670 * [taylor]: Taking taylor expansion of 1.0 in x 4.670 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.670 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.670 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.670 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.670 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.670 * [taylor]: Taking taylor expansion of 1.0 in x 4.670 * [taylor]: Taking taylor expansion of 1.0 in x 4.670 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.670 * [taylor]: Taking taylor expansion of x in x 4.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.671 * [taylor]: Taking taylor expansion of x in x 4.674 * [taylor]: Taking taylor expansion of 1.0 in x 4.676 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.677 * [taylor]: Taking taylor expansion of 0.5 in x 4.677 * [taylor]: Taking taylor expansion of 1.0 in x 4.688 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 4.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.688 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.688 * [taylor]: Taking taylor expansion of 1/3 in x 4.688 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.688 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.688 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 4.688 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 4.688 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 4.688 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 4.688 * [taylor]: Taking taylor expansion of 1.0 in x 4.688 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 4.688 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 4.688 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 4.688 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 4.688 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.688 * [taylor]: Taking taylor expansion of 1.0 in x 4.688 * [taylor]: Taking taylor expansion of 1.0 in x 4.688 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.688 * [taylor]: Taking taylor expansion of x in x 4.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.689 * [taylor]: Taking taylor expansion of x in x 4.692 * [taylor]: Taking taylor expansion of 1.0 in x 4.694 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.694 * [taylor]: Taking taylor expansion of 0.5 in x 4.694 * [taylor]: Taking taylor expansion of 1.0 in x 4.906 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 4.906 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 4.906 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.906 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.906 * [taylor]: Taking taylor expansion of 1/3 in x 4.906 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.906 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.906 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.906 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.906 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.906 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.906 * [taylor]: Taking taylor expansion of 1.0 in x 4.906 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.906 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.906 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.906 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.906 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.906 * [taylor]: Taking taylor expansion of 1.0 in x 4.906 * [taylor]: Taking taylor expansion of 1.0 in x 4.906 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.906 * [taylor]: Taking taylor expansion of -1 in x 4.906 * [taylor]: Taking taylor expansion of x in x 4.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.907 * [taylor]: Taking taylor expansion of -1 in x 4.907 * [taylor]: Taking taylor expansion of x in x 4.910 * [taylor]: Taking taylor expansion of 1.0 in x 4.912 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.912 * [taylor]: Taking taylor expansion of 0.5 in x 4.913 * [taylor]: Taking taylor expansion of 1.0 in x 4.923 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 4.923 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 4.923 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 4.923 * [taylor]: Taking taylor expansion of 1/3 in x 4.923 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 4.923 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 4.923 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 4.923 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 4.923 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 4.923 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 4.923 * [taylor]: Taking taylor expansion of 1.0 in x 4.923 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 4.923 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 4.923 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 4.923 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 4.923 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 4.923 * [taylor]: Taking taylor expansion of 1.0 in x 4.923 * [taylor]: Taking taylor expansion of 1.0 in x 4.923 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.923 * [taylor]: Taking taylor expansion of -1 in x 4.923 * [taylor]: Taking taylor expansion of x in x 4.924 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.924 * [taylor]: Taking taylor expansion of -1 in x 4.924 * [taylor]: Taking taylor expansion of x in x 4.935 * [taylor]: Taking taylor expansion of 1.0 in x 4.937 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 4.937 * [taylor]: Taking taylor expansion of 0.5 in x 4.938 * [taylor]: Taking taylor expansion of 1.0 in x 5.149 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.150 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in (x) around 0 5.150 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 5.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 5.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 5.150 * [taylor]: Taking taylor expansion of 1/3 in x 5.150 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 5.150 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 5.150 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.150 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.150 * [taylor]: Taking taylor expansion of 0.5 in x 5.151 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.151 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.151 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.151 * [taylor]: Taking taylor expansion of 1.0 in x 5.151 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.151 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.151 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.151 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.151 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.151 * [taylor]: Taking taylor expansion of 1.0 in x 5.151 * [taylor]: Taking taylor expansion of 1.0 in x 5.151 * [taylor]: Taking taylor expansion of (* x x) in x 5.151 * [taylor]: Taking taylor expansion of x in x 5.151 * [taylor]: Taking taylor expansion of x in x 5.154 * [taylor]: Taking taylor expansion of 1.0 in x 5.160 * [taylor]: Taking taylor expansion of 1.0 in x 5.184 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1/3) in x 5.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 5.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 5.184 * [taylor]: Taking taylor expansion of 1/3 in x 5.184 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 5.184 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 5.184 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 5.184 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 5.184 * [taylor]: Taking taylor expansion of 0.5 in x 5.192 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 5.192 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 5.192 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 5.192 * [taylor]: Taking taylor expansion of 1.0 in x 5.192 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 5.192 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 5.193 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 5.193 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 5.193 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.193 * [taylor]: Taking taylor expansion of 1.0 in x 5.193 * [taylor]: Taking taylor expansion of 1.0 in x 5.193 * [taylor]: Taking taylor expansion of (* x x) in x 5.193 * [taylor]: Taking taylor expansion of x in x 5.193 * [taylor]: Taking taylor expansion of x in x 5.196 * [taylor]: Taking taylor expansion of 1.0 in x 5.202 * [taylor]: Taking taylor expansion of 1.0 in x 6.146 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 6.146 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 6.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 6.146 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 6.146 * [taylor]: Taking taylor expansion of 1/3 in x 6.146 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.146 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.146 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.146 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.146 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.146 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.146 * [taylor]: Taking taylor expansion of 1.0 in x 6.146 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.146 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.146 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.146 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.146 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.146 * [taylor]: Taking taylor expansion of 1.0 in x 6.146 * [taylor]: Taking taylor expansion of 1.0 in x 6.146 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.146 * [taylor]: Taking taylor expansion of x in x 6.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.146 * [taylor]: Taking taylor expansion of x in x 6.150 * [taylor]: Taking taylor expansion of 1.0 in x 6.152 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.152 * [taylor]: Taking taylor expansion of 0.5 in x 6.152 * [taylor]: Taking taylor expansion of 1.0 in x 6.162 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 6.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 6.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 6.162 * [taylor]: Taking taylor expansion of 1/3 in x 6.162 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.162 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.162 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 6.162 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 6.162 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 6.162 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 6.162 * [taylor]: Taking taylor expansion of 1.0 in x 6.162 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 6.162 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 6.163 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 6.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 6.163 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.163 * [taylor]: Taking taylor expansion of 1.0 in x 6.163 * [taylor]: Taking taylor expansion of 1.0 in x 6.163 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.163 * [taylor]: Taking taylor expansion of x in x 6.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.163 * [taylor]: Taking taylor expansion of x in x 6.166 * [taylor]: Taking taylor expansion of 1.0 in x 6.168 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.168 * [taylor]: Taking taylor expansion of 0.5 in x 6.169 * [taylor]: Taking taylor expansion of 1.0 in x 6.384 * [approximate]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in (x) around 0 6.384 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 6.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 6.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 6.384 * [taylor]: Taking taylor expansion of 1/3 in x 6.384 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.384 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.384 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.384 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.384 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.384 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.384 * [taylor]: Taking taylor expansion of 1.0 in x 6.384 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.384 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.384 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.384 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.384 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.384 * [taylor]: Taking taylor expansion of 1.0 in x 6.384 * [taylor]: Taking taylor expansion of 1.0 in x 6.384 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.384 * [taylor]: Taking taylor expansion of -1 in x 6.384 * [taylor]: Taking taylor expansion of x in x 6.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.385 * [taylor]: Taking taylor expansion of -1 in x 6.385 * [taylor]: Taking taylor expansion of x in x 6.388 * [taylor]: Taking taylor expansion of 1.0 in x 6.390 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.390 * [taylor]: Taking taylor expansion of 0.5 in x 6.391 * [taylor]: Taking taylor expansion of 1.0 in x 6.401 * [taylor]: Taking taylor expansion of (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) 1/3) in x 6.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 6.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 6.401 * [taylor]: Taking taylor expansion of 1/3 in x 6.401 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 6.401 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 6.401 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 6.401 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 6.401 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 6.401 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 6.401 * [taylor]: Taking taylor expansion of 1.0 in x 6.401 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 6.401 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 6.401 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 6.401 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 6.401 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 6.401 * [taylor]: Taking taylor expansion of 1.0 in x 6.401 * [taylor]: Taking taylor expansion of 1.0 in x 6.401 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.401 * [taylor]: Taking taylor expansion of -1 in x 6.401 * [taylor]: Taking taylor expansion of x in x 6.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.402 * [taylor]: Taking taylor expansion of -1 in x 6.402 * [taylor]: Taking taylor expansion of x in x 6.405 * [taylor]: Taking taylor expansion of 1.0 in x 6.407 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 6.407 * [taylor]: Taking taylor expansion of 0.5 in x 6.407 * [taylor]: Taking taylor expansion of 1.0 in x 6.617 * * * [progress]: simplifying candidates 6.618 * [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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (* (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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (cbrt (+ (* 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))))))))) (cbrt (- (* 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)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (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)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (* (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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (cbrt (+ (* 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))))))))) (cbrt (- (* 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)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (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)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (* (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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (cbrt (+ (* 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))))))))) (cbrt (- (* 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)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (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)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (+ (* 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3))) 0.5) (+ (* 0.5 (/ 1 (sqrt 1.0))) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5))))) (- (+ 0.5 (* 0.25 (/ 1 (pow x 3)))) (* 0.5 (/ 1 x))) (- (+ 0.5 (* 0.5 (/ 1 x))) (* 0.25 (/ 1 (pow x 3)))) (- (+ (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 1/3) (* 0.0625 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (+ (* 0.006944444444444444 (* (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)) 1/3))) (+ (* 0.010416666666666666 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))) (* 0.08333333333333333 (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))))) (- (+ (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 1/3) (* 0.16666666666666666 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))) (+ (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3))) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3))))) (- (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 1/3) (+ (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3))) (+ (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3))) (* 0.16666666666666666 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) (- (+ (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 1/3) (* 0.0625 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (+ (* 0.006944444444444444 (* (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)) 1/3))) (+ (* 0.010416666666666666 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))) (* 0.08333333333333333 (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))))) (- (+ (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 1/3) (* 0.16666666666666666 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))) (+ (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3))) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3))))) (- (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 1/3) (+ (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3))) (+ (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3))) (* 0.16666666666666666 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) (- (+ (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 1/3) (* 0.0625 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))) (+ (* 0.006944444444444444 (* (/ (* (pow x 4) (pow (sqrt 0.5) 2)) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) (pow (sqrt 1.0) 6))) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)) 1/3))) (+ (* 0.010416666666666666 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))))) (* 0.08333333333333333 (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))))))))) (- (+ (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 1/3) (* 0.16666666666666666 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))) (+ (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3))) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3))))) (- (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 1/3) (+ (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3))) (+ (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3))) (* 0.16666666666666666 (* (/ (sqrt 0.5) (* x (sqrt 1.0))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) 6.626 * * [simplify]: iteration 0 : 419 enodes (cost 1369 ) 6.634 * * [simplify]: iteration 1 : 1647 enodes (cost 1263 ) 6.663 * * [simplify]: iteration 2 : 5002 enodes (cost 1251 ) 6.669 * [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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (* (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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (cbrt (+ (* 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))))))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (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)))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (* (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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (cbrt (+ (* 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))))))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (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)))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (expm1 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (* (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 (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt 1) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (cbrt (+ (* 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))))))))) (cbrt (fma (- 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 1.0 1.0))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (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)))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (fma 0.25 (/ (pow x 2) (pow (sqrt 1.0) 3)) (- 0.5 (fma 0.5 (/ 1 (sqrt 1.0)) (* 0.1875 (/ (pow x 4) (pow (sqrt 1.0) 5)))))) (+ (/ (- 0.5) x) (fma 0.25 (/ 1 (pow x 3)) 0.5)) (+ (/ (- 0.25) (pow x 3)) (fma 0.5 (/ 1 x) 0.5)) (fma (* 0.0625 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (- (cbrt (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) (fma (* 0.006944444444444444 (* (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow (sqrt 0.5) 2) (pow (sqrt 1.0) 6)))) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)) 1/3) (fma 0.010416666666666666 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.08333333333333333 (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) (- (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (+ (* 0.041666666666666664 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)))) (fma (* 0.0625 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (- (cbrt (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) (fma (* 0.006944444444444444 (* (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow (sqrt 0.5) 2) (pow (sqrt 1.0) 6)))) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)) 1/3) (fma 0.010416666666666666 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.08333333333333333 (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) (- (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (+ (* 0.041666666666666664 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)))) (fma (* 0.0625 (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 5))) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))) (- (cbrt (fma (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5) 1.0)) (fma (* 0.006944444444444444 (* (/ (pow x 4) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)) (/ (pow (sqrt 0.5) 2) (pow (sqrt 1.0) 6)))) (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 5)) 1/3) (fma 0.010416666666666666 (* (/ (* (pow x 4) (sqrt 0.5)) (pow (sqrt 1.0) 6)) (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3))))) (* 0.08333333333333333 (* (pow (/ 1 (pow (+ (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)) 1.0) 2)) 1/3) (* (/ (* (pow x 2) (sqrt 0.5)) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))))))) (fma (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0)))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (fma 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)) (* 0.041666666666666664 (* (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3)))))) (- (- (cbrt (fma (sqrt 1.0) (sqrt 0.5) 1.0)) (* (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 2)) 1/3) (+ (* 0.041666666666666664 (/ (sqrt 0.5) (* (pow x 2) (pow (sqrt 1.0) 3)))) (* 0.16666666666666666 (/ (sqrt 0.5) (* x (sqrt 1.0))))))) (* 0.027777777777777776 (* (/ (pow (sqrt 0.5) 2) (* (pow x 2) (pow (sqrt 1.0) 2))) (pow (/ 1 (pow (+ (* (sqrt 1.0) (sqrt 0.5)) 1.0) 5)) 1/3)))) 6.669 * * * [progress]: adding candidates to table 7.052 * * [progress]: iteration 4 / 4 7.052 * * * [progress]: picking best candidate 7.063 * * * * [pick]: Picked # 7.063 * * * [progress]: localizing error 7.074 * * * [progress]: generating rewritten candidates 7.074 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 7.083 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 7.088 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2 2) 7.092 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 7.099 * * * [progress]: generating series expansions 7.100 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 7.100 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 7.100 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 7.100 * [taylor]: Taking taylor expansion of 1.0 in x 7.100 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.100 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.100 * [taylor]: Taking taylor expansion of 0.5 in x 7.101 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.101 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.101 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.101 * [taylor]: Taking taylor expansion of 1.0 in x 7.101 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.101 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.101 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.101 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.101 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.101 * [taylor]: Taking taylor expansion of 1.0 in x 7.101 * [taylor]: Taking taylor expansion of 1.0 in x 7.101 * [taylor]: Taking taylor expansion of (* x x) in x 7.101 * [taylor]: Taking taylor expansion of x in x 7.101 * [taylor]: Taking taylor expansion of x in x 7.104 * [taylor]: Taking taylor expansion of 1.0 in x 7.111 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 7.111 * [taylor]: Taking taylor expansion of 1.0 in x 7.111 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.111 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.111 * [taylor]: Taking taylor expansion of 0.5 in x 7.111 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.111 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.111 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.111 * [taylor]: Taking taylor expansion of 1.0 in x 7.111 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.112 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.112 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.112 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.112 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.112 * [taylor]: Taking taylor expansion of 1.0 in x 7.112 * [taylor]: Taking taylor expansion of 1.0 in x 7.112 * [taylor]: Taking taylor expansion of (* x x) in x 7.112 * [taylor]: Taking taylor expansion of x in x 7.112 * [taylor]: Taking taylor expansion of x in x 7.115 * [taylor]: Taking taylor expansion of 1.0 in x 7.368 * [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 7.368 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 7.368 * [taylor]: Taking taylor expansion of 1.0 in x 7.368 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.368 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.368 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.368 * [taylor]: Taking taylor expansion of 1.0 in x 7.368 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.368 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.368 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.368 * [taylor]: Taking taylor expansion of 1.0 in x 7.368 * [taylor]: Taking taylor expansion of 1.0 in x 7.368 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.368 * [taylor]: Taking taylor expansion of x in x 7.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.369 * [taylor]: Taking taylor expansion of x in x 7.372 * [taylor]: Taking taylor expansion of 1.0 in x 7.374 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.374 * [taylor]: Taking taylor expansion of 0.5 in x 7.374 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 7.375 * [taylor]: Taking taylor expansion of 1.0 in x 7.375 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.375 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.375 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.375 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.375 * [taylor]: Taking taylor expansion of 1.0 in x 7.375 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.375 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.375 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.375 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.375 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.375 * [taylor]: Taking taylor expansion of 1.0 in x 7.375 * [taylor]: Taking taylor expansion of 1.0 in x 7.375 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.375 * [taylor]: Taking taylor expansion of x in x 7.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.375 * [taylor]: Taking taylor expansion of x in x 7.378 * [taylor]: Taking taylor expansion of 1.0 in x 7.380 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.380 * [taylor]: Taking taylor expansion of 0.5 in x 7.419 * [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 7.419 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 7.419 * [taylor]: Taking taylor expansion of 1.0 in x 7.419 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.419 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.419 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.419 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.419 * [taylor]: Taking taylor expansion of 1.0 in x 7.419 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.419 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.419 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.419 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.419 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.419 * [taylor]: Taking taylor expansion of 1.0 in x 7.419 * [taylor]: Taking taylor expansion of 1.0 in x 7.419 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.419 * [taylor]: Taking taylor expansion of -1 in x 7.419 * [taylor]: Taking taylor expansion of x in x 7.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.419 * [taylor]: Taking taylor expansion of -1 in x 7.419 * [taylor]: Taking taylor expansion of x in x 7.429 * [taylor]: Taking taylor expansion of 1.0 in x 7.431 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.431 * [taylor]: Taking taylor expansion of 0.5 in x 7.432 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 7.432 * [taylor]: Taking taylor expansion of 1.0 in x 7.432 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.432 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.432 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.432 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.432 * [taylor]: Taking taylor expansion of 1.0 in x 7.432 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.432 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.432 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.432 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.432 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.432 * [taylor]: Taking taylor expansion of 1.0 in x 7.432 * [taylor]: Taking taylor expansion of 1.0 in x 7.432 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.433 * [taylor]: Taking taylor expansion of -1 in x 7.433 * [taylor]: Taking taylor expansion of x in x 7.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.433 * [taylor]: Taking taylor expansion of -1 in x 7.433 * [taylor]: Taking taylor expansion of x in x 7.436 * [taylor]: Taking taylor expansion of 1.0 in x 7.438 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.438 * [taylor]: Taking taylor expansion of 0.5 in x 7.477 * * * * [progress]: [ 2 / 4 ] generating series at (2) 7.477 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 7.477 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 7.477 * [taylor]: Taking taylor expansion of 1.0 in x 7.477 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.477 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.477 * [taylor]: Taking taylor expansion of 0.5 in x 7.478 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.478 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.478 * [taylor]: Taking taylor expansion of 1.0 in x 7.478 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.478 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.478 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.478 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.478 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.478 * [taylor]: Taking taylor expansion of 1.0 in x 7.478 * [taylor]: Taking taylor expansion of 1.0 in x 7.478 * [taylor]: Taking taylor expansion of (* x x) in x 7.478 * [taylor]: Taking taylor expansion of x in x 7.478 * [taylor]: Taking taylor expansion of x in x 7.481 * [taylor]: Taking taylor expansion of 1.0 in x 7.487 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 7.487 * [taylor]: Taking taylor expansion of 1.0 in x 7.487 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.487 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.487 * [taylor]: Taking taylor expansion of 0.5 in x 7.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.488 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.488 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.488 * [taylor]: Taking taylor expansion of 1.0 in x 7.488 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.488 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.488 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.488 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.488 * [taylor]: Taking taylor expansion of 1.0 in x 7.488 * [taylor]: Taking taylor expansion of 1.0 in x 7.488 * [taylor]: Taking taylor expansion of (* x x) in x 7.488 * [taylor]: Taking taylor expansion of x in x 7.488 * [taylor]: Taking taylor expansion of x in x 7.491 * [taylor]: Taking taylor expansion of 1.0 in x 7.746 * [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 7.746 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 7.746 * [taylor]: Taking taylor expansion of 1.0 in x 7.746 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.746 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.746 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.746 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.746 * [taylor]: Taking taylor expansion of 1.0 in x 7.746 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.746 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.746 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.746 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.746 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.746 * [taylor]: Taking taylor expansion of 1.0 in x 7.746 * [taylor]: Taking taylor expansion of 1.0 in x 7.746 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.746 * [taylor]: Taking taylor expansion of x in x 7.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.747 * [taylor]: Taking taylor expansion of x in x 7.750 * [taylor]: Taking taylor expansion of 1.0 in x 7.752 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.752 * [taylor]: Taking taylor expansion of 0.5 in x 7.753 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 7.753 * [taylor]: Taking taylor expansion of 1.0 in x 7.753 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 7.753 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 7.753 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 7.753 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 7.753 * [taylor]: Taking taylor expansion of 1.0 in x 7.753 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 7.753 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.753 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.753 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.753 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.753 * [taylor]: Taking taylor expansion of 1.0 in x 7.753 * [taylor]: Taking taylor expansion of 1.0 in x 7.753 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.753 * [taylor]: Taking taylor expansion of x in x 7.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.753 * [taylor]: Taking taylor expansion of x in x 7.756 * [taylor]: Taking taylor expansion of 1.0 in x 7.758 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.758 * [taylor]: Taking taylor expansion of 0.5 in x 7.803 * [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 7.803 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 7.803 * [taylor]: Taking taylor expansion of 1.0 in x 7.803 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.803 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.803 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.803 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.803 * [taylor]: Taking taylor expansion of 1.0 in x 7.803 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.803 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.803 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.803 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.803 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.804 * [taylor]: Taking taylor expansion of 1.0 in x 7.804 * [taylor]: Taking taylor expansion of 1.0 in x 7.804 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.804 * [taylor]: Taking taylor expansion of -1 in x 7.804 * [taylor]: Taking taylor expansion of x in x 7.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.804 * [taylor]: Taking taylor expansion of -1 in x 7.804 * [taylor]: Taking taylor expansion of x in x 7.807 * [taylor]: Taking taylor expansion of 1.0 in x 7.809 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.809 * [taylor]: Taking taylor expansion of 0.5 in x 7.810 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 7.810 * [taylor]: Taking taylor expansion of 1.0 in x 7.810 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 7.810 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 7.810 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 7.810 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 7.810 * [taylor]: Taking taylor expansion of 1.0 in x 7.811 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 7.811 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.811 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.811 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.811 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.811 * [taylor]: Taking taylor expansion of 1.0 in x 7.811 * [taylor]: Taking taylor expansion of 1.0 in x 7.811 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.811 * [taylor]: Taking taylor expansion of -1 in x 7.811 * [taylor]: Taking taylor expansion of x in x 7.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.811 * [taylor]: Taking taylor expansion of -1 in x 7.811 * [taylor]: Taking taylor expansion of x in x 7.814 * [taylor]: Taking taylor expansion of 1.0 in x 7.817 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.817 * [taylor]: Taking taylor expansion of 0.5 in x 7.855 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2 2) 7.861 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 7.861 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 7.861 * [taylor]: Taking taylor expansion of 1.0 in x 7.861 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.861 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.862 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.862 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.862 * [taylor]: Taking taylor expansion of 1.0 in x 7.862 * [taylor]: Taking taylor expansion of 1.0 in x 7.862 * [taylor]: Taking taylor expansion of (* x x) in x 7.862 * [taylor]: Taking taylor expansion of x in x 7.862 * [taylor]: Taking taylor expansion of x in x 7.865 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 7.865 * [taylor]: Taking taylor expansion of 1.0 in x 7.865 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.865 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.865 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.865 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.865 * [taylor]: Taking taylor expansion of 1.0 in x 7.865 * [taylor]: Taking taylor expansion of 1.0 in x 7.865 * [taylor]: Taking taylor expansion of (* x x) in x 7.865 * [taylor]: Taking taylor expansion of x in x 7.865 * [taylor]: Taking taylor expansion of x in x 7.907 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 7.907 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 7.907 * [taylor]: Taking taylor expansion of 1.0 in x 7.907 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.907 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.907 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.907 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.907 * [taylor]: Taking taylor expansion of 1.0 in x 7.907 * [taylor]: Taking taylor expansion of 1.0 in x 7.907 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.907 * [taylor]: Taking taylor expansion of x in x 7.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.907 * [taylor]: Taking taylor expansion of x in x 7.910 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 7.910 * [taylor]: Taking taylor expansion of 1.0 in x 7.911 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 7.911 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 7.911 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 7.911 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.911 * [taylor]: Taking taylor expansion of 1.0 in x 7.911 * [taylor]: Taking taylor expansion of 1.0 in x 7.911 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.911 * [taylor]: Taking taylor expansion of x in x 7.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.911 * [taylor]: Taking taylor expansion of x in x 7.935 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 7.935 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 7.935 * [taylor]: Taking taylor expansion of 1.0 in x 7.935 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.935 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.935 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.935 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.935 * [taylor]: Taking taylor expansion of 1.0 in x 7.935 * [taylor]: Taking taylor expansion of 1.0 in x 7.935 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.935 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.935 * [taylor]: Taking taylor expansion of -1 in x 7.935 * [taylor]: Taking taylor expansion of x in x 7.936 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.936 * [taylor]: Taking taylor expansion of -1 in x 7.936 * [taylor]: Taking taylor expansion of x in x 7.939 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 7.939 * [taylor]: Taking taylor expansion of 1.0 in x 7.939 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 7.939 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 7.939 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 7.939 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.939 * [taylor]: Taking taylor expansion of 1.0 in x 7.939 * [taylor]: Taking taylor expansion of 1.0 in x 7.939 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.939 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.939 * [taylor]: Taking taylor expansion of -1 in x 7.939 * [taylor]: Taking taylor expansion of x in x 7.939 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.939 * [taylor]: Taking taylor expansion of -1 in x 7.939 * [taylor]: Taking taylor expansion of x in x 7.970 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 7.970 * [approximate]: Taking taylor expansion of (log (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in (x) around 0 7.970 * [taylor]: Taking taylor expansion of (log (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 7.970 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 7.970 * [taylor]: Taking taylor expansion of 1.0 in x 7.970 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.970 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.970 * [taylor]: Taking taylor expansion of 0.5 in x 7.971 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.971 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.971 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.971 * [taylor]: Taking taylor expansion of 1.0 in x 7.971 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.971 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.971 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.971 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.971 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.971 * [taylor]: Taking taylor expansion of 1.0 in x 7.971 * [taylor]: Taking taylor expansion of 1.0 in x 7.971 * [taylor]: Taking taylor expansion of (* x x) in x 7.971 * [taylor]: Taking taylor expansion of x in x 7.971 * [taylor]: Taking taylor expansion of x in x 7.974 * [taylor]: Taking taylor expansion of 1.0 in x 7.996 * [taylor]: Taking taylor expansion of (log (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 7.996 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 7.996 * [taylor]: Taking taylor expansion of 1.0 in x 7.996 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 7.996 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 7.996 * [taylor]: Taking taylor expansion of 0.5 in x 7.997 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 7.997 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 7.997 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 7.997 * [taylor]: Taking taylor expansion of 1.0 in x 7.997 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 7.997 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 7.997 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* x x))) 7.997 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* x x)) in x 7.997 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 7.997 * [taylor]: Taking taylor expansion of 1.0 in x 7.997 * [taylor]: Taking taylor expansion of 1.0 in x 7.997 * [taylor]: Taking taylor expansion of (* x x) in x 7.997 * [taylor]: Taking taylor expansion of x in x 7.997 * [taylor]: Taking taylor expansion of x in x 8.000 * [taylor]: Taking taylor expansion of 1.0 in x 8.492 * [approximate]: Taking taylor expansion of (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in (x) around 0 8.492 * [taylor]: Taking taylor expansion of (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in x 8.492 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 8.492 * [taylor]: Taking taylor expansion of 1.0 in x 8.492 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 8.492 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.492 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.492 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.492 * [taylor]: Taking taylor expansion of 1.0 in x 8.492 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.492 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.492 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.492 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.492 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.492 * [taylor]: Taking taylor expansion of 1.0 in x 8.492 * [taylor]: Taking taylor expansion of 1.0 in x 8.492 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.492 * [taylor]: Taking taylor expansion of x in x 8.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.493 * [taylor]: Taking taylor expansion of x in x 8.497 * [taylor]: Taking taylor expansion of 1.0 in x 8.499 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.499 * [taylor]: Taking taylor expansion of 0.5 in x 8.506 * [taylor]: Taking taylor expansion of (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in x 8.506 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 8.506 * [taylor]: Taking taylor expansion of 1.0 in x 8.506 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 8.506 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 8.506 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 8.506 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 8.506 * [taylor]: Taking taylor expansion of 1.0 in x 8.506 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 8.506 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 8.506 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) 8.506 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ 1 x) (/ 1 x))) in x 8.506 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.506 * [taylor]: Taking taylor expansion of 1.0 in x 8.506 * [taylor]: Taking taylor expansion of 1.0 in x 8.506 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.506 * [taylor]: Taking taylor expansion of x in x 8.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.506 * [taylor]: Taking taylor expansion of x in x 8.509 * [taylor]: Taking taylor expansion of 1.0 in x 8.511 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.511 * [taylor]: Taking taylor expansion of 0.5 in x 8.629 * [approximate]: Taking taylor expansion of (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in (x) around 0 8.629 * [taylor]: Taking taylor expansion of (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in x 8.629 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 8.629 * [taylor]: Taking taylor expansion of 1.0 in x 8.629 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 8.629 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.629 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.629 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.629 * [taylor]: Taking taylor expansion of 1.0 in x 8.629 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.629 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.630 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.630 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.630 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.630 * [taylor]: Taking taylor expansion of 1.0 in x 8.630 * [taylor]: Taking taylor expansion of 1.0 in x 8.630 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.630 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.630 * [taylor]: Taking taylor expansion of -1 in x 8.630 * [taylor]: Taking taylor expansion of x in x 8.630 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.630 * [taylor]: Taking taylor expansion of -1 in x 8.630 * [taylor]: Taking taylor expansion of x in x 8.633 * [taylor]: Taking taylor expansion of 1.0 in x 8.635 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.636 * [taylor]: Taking taylor expansion of 0.5 in x 8.642 * [taylor]: Taking taylor expansion of (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in x 8.642 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 8.642 * [taylor]: Taking taylor expansion of 1.0 in x 8.642 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 8.642 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 8.642 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 8.642 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 8.642 * [taylor]: Taking taylor expansion of 1.0 in x 8.642 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 8.642 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 8.642 * [taylor]: Rewrote expression to (sqrt (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x)))) 8.642 * [taylor]: Taking taylor expansion of (+ (* 1.0 1.0) (* (/ -1 x) (/ -1 x))) in x 8.642 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 8.642 * [taylor]: Taking taylor expansion of 1.0 in x 8.642 * [taylor]: Taking taylor expansion of 1.0 in x 8.642 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.643 * [taylor]: Taking taylor expansion of -1 in x 8.643 * [taylor]: Taking taylor expansion of x in x 8.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.643 * [taylor]: Taking taylor expansion of -1 in x 8.643 * [taylor]: Taking taylor expansion of x in x 8.646 * [taylor]: Taking taylor expansion of 1.0 in x 8.648 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 8.648 * [taylor]: Taking taylor expansion of 0.5 in x 8.758 * * * [progress]: simplifying candidates 8.760 * [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 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1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (exp 2) (log (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (expm1 (/ 1.0 (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 (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log1p (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* 2 (log (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 0 (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 0 (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (log (+ (* 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))))))))) (log (- (* 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)))))))) (log (+ 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))))))) (log (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (pow (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (sqrt (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (log (- 1.0 (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 (* 0.25 (/ (* (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 0.03125 (* (/ (* (pow x 4) (sqrt 0.5)) (* (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (pow (sqrt 1.0) 6))) (sqrt (/ 1 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0) 3)))) (* 0.25 (* (/ (* (pow x 2) (sqrt 0.5)) (* (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)))))) (- (log (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5)))) (fma (* 0.1875 (/ (* (pow x 4) (sqrt 0.5)) (* (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) (pow (sqrt 1.0) 5)))) (sqrt (/ 1 (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0))) (/ (* 0.03125 (* (pow x 4) (pow (sqrt 0.5) 2))) (* (* (pow (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (sqrt 1.0))) 1.0)) (sqrt 0.5))) 2) (pow (sqrt 1.0) 6)) (fma 1.0 (/ 1 (sqrt 1.0)) 1.0)))))) (fma (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 3))) (/ (sqrt 0.5) (- 1.0 (* (sqrt 1.0) (sqrt 0.5)))) (- (- (log (- 1.0 (* (sqrt 1.0) (sqrt 0.5)))) (* 0.5 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (- 1.0 (* (sqrt 1.0) (sqrt 0.5)))))))) (* (/ 0.125 (* (pow x 2) (pow (sqrt 1.0) 2))) (/ 0.5 (pow (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 2))))) (fma (- 0.125) (/ (/ 0.5 (* x (* x 1.0))) (pow (- 1.0 (* (sqrt 1.0) (sqrt 0.5))) 2)) (fma 0.5 (/ (sqrt 0.5) (* x (* (sqrt 1.0) (- 1.0 (* (sqrt 1.0) (sqrt 0.5)))))) (fma 0.125 (/ (sqrt 0.5) (* (pow x 2) (* (pow (sqrt 1.0) 3) (- 1.0 (* (sqrt 1.0) (sqrt 0.5)))))) (log (- 1.0 (* (sqrt 1.0) (sqrt 0.5))))))) 8.832 * * * [progress]: adding candidates to table 9.185 * [progress]: [Phase 3 of 3] Extracting. 9.185 * * [regime]: Finding splitpoints for: (# # # #) 9.187 * * * [regime-changes]: Trying 7 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) x) 9.187 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 9.216 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# #) 9.235 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 9.266 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# #) 9.282 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 9.312 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# #) 9.328 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # #) 9.360 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # #) 9.389 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # #) 9.422 * * * * [regimes]: Trying to branch on x from (# # # #) 9.457 * * * [regime]: Found split indices: #