1.616 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.010 * [progress]: [Phase 2 of 3] Improving. 0.010 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 0.013 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.014 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.014 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.014 * * [progress]: iteration 1 / 4 0.014 * * * [progress]: picking best candidate 0.015 * * * * [pick]: Picked # 0.016 * * * [progress]: localizing error 0.019 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.029 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.030 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of 1.0 in x 0.030 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.044 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.063 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * * * [progress]: simplifying candidates 0.087 * [simplify]: Simplifying using # : (expm1 (/ x (+ (* x x) 1.0))) (log1p (/ x (+ (* x x) 1.0))) (- (log x) (log (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (exp (/ x (+ (* x x) 1.0))) (/ (* (* x x) x) (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0))) (* (cbrt (/ x (+ (* x x) 1.0))) (cbrt (/ x (+ (* x x) 1.0)))) (cbrt (/ x (+ (* x x) 1.0))) (* (* (/ x (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (- x) (- (+ (* x x) 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ (* x x) 1.0)) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) 1) (/ (sqrt x) (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 1) (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ x (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) (/ x 1) (/ (+ (* x x) 1.0) (cbrt x)) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) x) (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (/ x (- (* (* x x) (* x x)) (* 1.0 1.0))) (- (+ (* 1.0 x) (* 1.0 (pow x 5))) (* 1.0 (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) 0.091 * * [simplify]: iteration 0 : 171 enodes (cost 215 ) 0.094 * * [simplify]: iteration 1 : 589 enodes (cost 196 ) 0.104 * * [simplify]: iteration 2 : 1979 enodes (cost 191 ) 0.141 * * [simplify]: iteration 3 : 5002 enodes (cost 186 ) 0.142 * [simplify]: Simplified to: (expm1 (/ x (+ (* x x) 1.0))) (log1p (/ x (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (exp (/ x (+ (* x x) 1.0))) (pow (/ x (fma x x 1.0)) 3) (* (cbrt (/ x (+ (* x x) 1.0))) (cbrt (/ x (+ (* x x) 1.0)))) (cbrt (/ x (+ (* x x) 1.0))) (pow (/ x (fma x x 1.0)) 3) (sqrt (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (- x) (- (+ (* x x) 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (fma x x 1.0)) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (sqrt x) (/ (sqrt x) (fma x x 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) 1 (/ x (fma x x 1.0)) (/ 1 (fma x x 1.0)) (/ (fma x x 1.0) x) (/ x (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) x (/ (fma x x 1.0) (cbrt x)) (/ (fma x x 1.0) (sqrt x)) (/ (fma x x 1.0) x) (/ x (fma (* 1.0 1.0) 1.0 (pow x 6))) (/ x (fma (- 1.0) 1.0 (pow x 4))) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (fma 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (/ 1 x)) (fma 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (/ 1 x)) 0.142 * * * [progress]: adding candidates to table 0.213 * * [progress]: iteration 2 / 4 0.213 * * * [progress]: picking best candidate 0.217 * * * * [pick]: Picked # 0.217 * * * [progress]: localizing error 0.224 * * * [progress]: generating rewritten candidates 0.224 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.229 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.234 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.242 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.298 * * * [progress]: generating series expansions 0.298 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.298 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.298 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.299 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.340 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.386 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.386 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.388 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.463 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.463 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.474 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.477 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.495 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * * * [progress]: simplifying candidates 0.525 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) 1.0))) (log1p (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (expm1 (sqrt (+ (* x x) 1.0))) (log1p (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (expm1 (/ 1 (sqrt (+ (* x x) 1.0)))) (log1p (/ 1 (sqrt (+ (* x x) 1.0)))) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt (+ (* x x) 1.0)))) (- 0 (log (sqrt (+ (* x x) 1.0)))) (- (log 1) (log 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(+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (* 0.5 (/ (pow x 4) (sqrt 1.0))) (sqrt 1.0)) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.375 (/ 1 (pow x 5))) (/ 1 x)) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (/ 1 x) (* 0.375 (/ 1 (pow x 5))))) (- (+ (* 1.0 x) (* 1.0 (pow x 5))) (* 1.0 (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) 0.535 * * [simplify]: iteration 0 : 644 enodes (cost 1789 ) 0.548 * * [simplify]: iteration 1 : 3224 enodes (cost 1573 ) 0.592 * * [simplify]: iteration 2 : 5002 enodes (cost 1402 ) 0.599 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) 1.0))) (log1p (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (hypot x (sqrt 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (pow (hypot x (sqrt 1.0)) 3) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) 1 (hypot x (sqrt 1.0)) (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) 1/2 (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (expm1 (sqrt (+ (* x x) 1.0))) (log1p (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (hypot x (sqrt 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (pow (hypot x (sqrt 1.0)) 3) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 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(+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (hypot x (sqrt 1.0)) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)) (/ 1 (/ (hypot (pow 1.0 3/2) (pow x 3)) 1)) (/ 1 (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (expm1 (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))) (log1p (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))) (/ x (fma x x 1.0)) (log (/ x (fma x x 1.0))) (log (/ x (fma x x 1.0))) (log (/ x (fma x x 1.0))) (log (/ x (fma x x 1.0))) (log (/ x (fma x x 1.0))) (log (/ x (fma x x 1.0))) (log (/ x (fma x x 1.0))) (log (/ x (fma x x 1.0))) (log (/ x (fma x x 1.0))) (exp (/ x (fma x x 1.0))) (pow (/ x (fma x x 1.0)) 3) (pow (/ x (fma x x 1.0)) 3) (pow (/ x (fma x x 1.0)) 3) (pow (/ x (fma x x 1.0)) 3) (* (cbrt (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))) (cbrt (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))))) (cbrt (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))) (pow (/ x (fma x x 1.0)) 3) (sqrt (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))) (sqrt (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))) x (fma x x 1.0) (* (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (* (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (* (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (* (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (* (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (* (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (* (sqrt (/ x (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (sqrt (/ x (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (sqrt (/ x (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (sqrt (/ x (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (sqrt (/ x (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (sqrt (/ x (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (sqrt (/ x (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (sqrt (/ x (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (sqrt (+ (* x x) 1.0))) (/ (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (* (/ (cbrt x) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (cbrt x) (hypot x (sqrt 1.0)))) (* (/ (cbrt x) (fabs (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (hypot x (sqrt 1.0)))) (* (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (hypot x (sqrt 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (* (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (hypot x (sqrt 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (sqrt (+ (* x x) 1.0))) (/ (/ (sqrt x) (fabs (cbrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (pow x 1/2) (hypot x (sqrt 1.0))) (/ (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (pow x 1/2) (hypot x (sqrt 1.0))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0)))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (+ (* x x) 1.0))) (hypot (pow 1.0 3/2) (pow x 3))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (* (/ (cbrt (/ 1 (sqrt (+ (* x x) 1.0)))) (hypot x (sqrt 1.0))) x) (* (/ (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (hypot x (sqrt 1.0))) x) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (fma x x 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (fma x x 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (fma x x 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (fma x x 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (fma x x 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (fma x x 1.0)) (/ x (fma x x 1.0)) (/ x (fma x x 1.0)) (* (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (hypot x (sqrt 1.0))) x) (* (/ (sqrt (- (* x x) 1.0)) (hypot x (sqrt 1.0))) x) (/ x (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (fma 0.5 (/ (pow x 4) (sqrt 1.0)) (- (sqrt 1.0) (fma 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 0.5 (/ (pow x 2) (sqrt 1.0)))))) (fma 0.375 (/ 1 (pow x 5)) (- (/ 1 x) (* 0.5 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 (pow x 3)) (- (fma 0.375 (/ 1 (pow x 5)) (/ 1 x)))) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) 0.600 * * * [progress]: adding candidates to table 0.942 * * [progress]: iteration 3 / 4 0.942 * * * [progress]: picking best candidate 0.944 * * * * [pick]: Picked # 0.945 * * * [progress]: localizing error 0.958 * * * [progress]: generating rewritten candidates 0.958 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.958 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3 2 2) 0.963 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.967 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3) 0.991 * * * [progress]: generating series expansions 0.991 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.991 * [approximate]: Taking taylor expansion of (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) in (x) around 0 0.991 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) in x 0.991 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 (pow x 5))) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) 0.991 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 5))) in x 0.991 * [taylor]: Taking taylor expansion of 1.0 in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.991 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 3))) in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.993 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) in x 0.994 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 (pow x 5))) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) 0.994 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 5))) in x 0.994 * [taylor]: Taking taylor expansion of 1.0 in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.994 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 3))) in x 0.995 * [taylor]: Taking taylor expansion of 1.0 in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.995 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.995 * [taylor]: Taking taylor expansion of x in x 1.015 * [approximate]: Taking taylor expansion of (fma 1.0 (pow x 5) (- x (* 1.0 (pow x 3)))) in (x) around 0 1.015 * [taylor]: Taking taylor expansion of (fma 1.0 (pow x 5) (- x (* 1.0 (pow x 3)))) in x 1.015 * [taylor]: Rewrote expression to (+ (* 1.0 (pow x 5)) (- x (* 1.0 (pow x 3)))) 1.015 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (- x (* 1.0 (pow x 3))) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (fma 1.0 (pow x 5) (- x (* 1.0 (pow x 3)))) in x 1.015 * [taylor]: Rewrote expression to (+ (* 1.0 (pow x 5)) (- x (* 1.0 (pow x 3)))) 1.015 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (- x (* 1.0 (pow x 3))) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.016 * [taylor]: Taking taylor expansion of 1.0 in x 1.016 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.025 * [approximate]: Taking taylor expansion of (fma 1.0 (* -1 (pow x 5)) (- (* 1.0 (pow x 3)) x)) in (x) around 0 1.025 * [taylor]: Taking taylor expansion of (fma 1.0 (* -1 (pow x 5)) (- (* 1.0 (pow x 3)) x)) in x 1.025 * [taylor]: Rewrote expression to (+ (* 1.0 (* -1 (pow x 5))) (- (* 1.0 (pow x 3)) x)) 1.025 * [taylor]: Taking taylor expansion of (* 1.0 (* -1 (pow x 5))) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.025 * [taylor]: Taking taylor expansion of -1 in x 1.025 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 3)) x) in x 1.025 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (fma 1.0 (* -1 (pow x 5)) (- (* 1.0 (pow x 3)) x)) in x 1.026 * [taylor]: Rewrote expression to (+ (* 1.0 (* -1 (pow x 5))) (- (* 1.0 (pow x 3)) x)) 1.026 * [taylor]: Taking taylor expansion of (* 1.0 (* -1 (pow x 5))) in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.026 * [taylor]: Taking taylor expansion of -1 in x 1.026 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 3)) x) in x 1.026 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.035 * * * * [progress]: [ 2 / 4 ] generating series at (2 3 2 2) 1.035 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.035 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.036 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.047 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 1.047 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.055 * [approximate]: Taking taylor expansion of (* -1 (pow x 3)) in (x) around 0 1.055 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 1.055 * [taylor]: Taking taylor expansion of -1 in x 1.055 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 1.055 * [taylor]: Taking taylor expansion of -1 in x 1.055 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.072 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.073 * [approximate]: Taking taylor expansion of (/ 1 (pow x 5)) in (x) around 0 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.074 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.088 * [approximate]: Taking taylor expansion of (pow x 5) in (x) around 0 1.088 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.100 * [approximate]: Taking taylor expansion of (* -1 (pow x 5)) in (x) around 0 1.100 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.100 * [taylor]: Taking taylor expansion of -1 in x 1.100 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.100 * [taylor]: Taking taylor expansion of -1 in x 1.100 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.115 * * * * [progress]: [ 4 / 4 ] generating series at (2 3) 1.115 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) in (x) around 0 1.115 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 3))) in x 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.115 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 3))) in x 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.117 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.145 * [approximate]: Taking taylor expansion of (- x (* 1.0 (pow x 3))) in (x) around 0 1.145 * [taylor]: Taking taylor expansion of (- x (* 1.0 (pow x 3))) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (- x (* 1.0 (pow x 3))) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.168 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 3)) x) in (x) around 0 1.168 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 3)) x) in x 1.168 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.168 * [taylor]: Taking taylor expansion of 1.0 in x 1.168 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 3)) x) in x 1.168 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.168 * [taylor]: Taking taylor expansion of 1.0 in x 1.168 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.184 * * * [progress]: simplifying candidates 1.187 * [simplify]: Simplifying using # : (expm1 (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (log1p (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (* 1.0 (/ 1 (pow x 5))) (log (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (exp (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (* (cbrt (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (cbrt (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))))) (cbrt (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (* (* (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (sqrt (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (sqrt (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (expm1 (/ 1 (pow x 3))) (log1p (/ 1 (pow x 3))) (- 3) (- (* (log x) 3)) (- (* (log x) 3)) (- (log (pow x 3))) (- 0 (* (log x) 3)) (- 0 (* (log x) 3)) (- 0 (log (pow x 3))) (- (log 1) (* (log x) 3)) (- (log 1) (* (log x) 3)) (- (log 1) (log (pow x 3))) (log (/ 1 (pow x 3))) (exp (/ 1 (pow x 3))) (/ (* (* 1 1) 1) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (/ 1 (pow x 3))) (cbrt (/ 1 (pow x 3)))) (cbrt (/ 1 (pow x 3))) (* (* (/ 1 (pow x 3)) (/ 1 (pow x 3))) (/ 1 (pow x 3))) (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 (pow x 3))) (- 1) (- (pow x 3)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt x) (cbrt x)) 3)) (/ (cbrt 1) (pow (cbrt x) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt x) 3)) (/ (cbrt 1) (pow (sqrt x) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 3)) (/ (cbrt 1) (pow x 3)) (/ (* (cbrt 1) (cbrt 1)) (* x x)) (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (/ (cbrt 1) (cbrt (pow x 3))) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt x) (cbrt x)) 3)) (/ (cbrt 1) (pow (cbrt x) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt x) 3)) (/ (cbrt 1) (pow (sqrt x) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 3)) (/ (cbrt 1) (pow x 3)) (/ (* (cbrt 1) (cbrt 1)) x) (/ (cbrt 1) (* x x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow x 3))) (/ (cbrt 1) (sqrt (pow x 3))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow x 3)) (/ (* (cbrt 1) (cbrt 1)) (pow x (/ 3 2))) (/ (cbrt 1) (pow x (/ 3 2))) (/ (sqrt 1) (pow (* (cbrt x) (cbrt x)) 3)) (/ (sqrt 1) (pow (cbrt x) 3)) (/ (sqrt 1) (pow (sqrt x) 3)) (/ (sqrt 1) (pow (sqrt x) 3)) (/ (sqrt 1) (pow 1 3)) (/ (sqrt 1) (pow x 3)) (/ (sqrt 1) (* x x)) (/ (sqrt 1) x) (/ (sqrt 1) (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (/ (sqrt 1) (cbrt (pow x 3))) (/ (sqrt 1) (pow (* (cbrt x) (cbrt x)) 3)) (/ (sqrt 1) (pow (cbrt x) 3)) (/ (sqrt 1) (pow (sqrt x) 3)) (/ (sqrt 1) (pow (sqrt x) 3)) (/ (sqrt 1) (pow 1 3)) (/ (sqrt 1) (pow x 3)) (/ (sqrt 1) x) (/ (sqrt 1) (* x x)) (/ (sqrt 1) (sqrt (pow x 3))) (/ (sqrt 1) (sqrt (pow x 3))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow x 3)) (/ (sqrt 1) (pow x (/ 3 2))) (/ (sqrt 1) (pow x (/ 3 2))) (/ 1 (pow (* (cbrt x) (cbrt x)) 3)) (/ 1 (pow (cbrt x) 3)) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow 1 3)) (/ 1 (pow x 3)) (/ 1 (* x x)) (/ 1 x) (/ 1 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (/ 1 (cbrt (pow x 3))) (/ 1 (pow (* (cbrt x) (cbrt x)) 3)) (/ 1 (pow (cbrt x) 3)) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow 1 3)) (/ 1 (pow x 3)) (/ 1 x) (/ 1 (* x x)) (/ 1 (sqrt (pow x 3))) (/ 1 (sqrt (pow x 3))) (/ 1 1) (/ 1 (pow x 3)) (/ 1 (pow x (/ 3 2))) (/ 1 (pow x (/ 3 2))) (/ 1 (pow x 3)) (/ (pow x 3) 1) (/ 1 (pow (* (cbrt x) (cbrt x)) 3)) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow 1 3)) (/ 1 (* x x)) (/ 1 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (/ 1 (pow (* (cbrt x) (cbrt x)) 3)) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow 1 3)) (/ 1 x) (/ 1 (sqrt (pow x 3))) (/ 1 1) (/ 1 (pow x (/ 3 2))) (/ (pow x 3) (cbrt 1)) (/ (pow x 3) (sqrt 1)) (/ (pow x 3) 1) (expm1 (/ 1 (pow x 5))) (log1p (/ 1 (pow x 5))) (- 5) (- (* (log x) 5)) (- (* (log x) 5)) (- (log (pow x 5))) (- 0 (* (log x) 5)) (- 0 (* (log x) 5)) (- 0 (log (pow x 5))) (- (log 1) (* (log x) 5)) (- (log 1) (* (log x) 5)) (- (log 1) (log (pow x 5))) (log (/ 1 (pow x 5))) (exp (/ 1 (pow x 5))) (/ (* (* 1 1) 1) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (/ 1 (pow x 5))) (cbrt (/ 1 (pow x 5)))) (cbrt (/ 1 (pow x 5))) (* (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 5))) (- 1) (- (pow x 5)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt x) (cbrt x)) 5)) (/ (cbrt 1) (pow (cbrt x) 5)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt x) 5)) (/ (cbrt 1) (pow (sqrt x) 5)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 5)) (/ (cbrt 1) (pow x 5)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (/ (cbrt 1) (cbrt (pow x 5))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow x 5))) (/ (cbrt 1) (sqrt (pow x 5))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow x 5)) (/ (* (cbrt 1) (cbrt 1)) (pow x (/ 5 2))) (/ (cbrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (pow (* (cbrt x) (cbrt x)) 5)) (/ (sqrt 1) (pow (cbrt x) 5)) (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow 1 5)) (/ (sqrt 1) (pow x 5)) (/ (sqrt 1) (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (/ (sqrt 1) (cbrt (pow x 5))) (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow x 5)) (/ (sqrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (pow x (/ 5 2))) (/ 1 (pow (* (cbrt x) (cbrt x)) 5)) (/ 1 (pow (cbrt x) 5)) (/ 1 (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 5)) (/ 1 (pow 1 5)) (/ 1 (pow x 5)) (/ 1 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (/ 1 (cbrt (pow x 5))) (/ 1 (sqrt (pow x 5))) (/ 1 (sqrt (pow x 5))) (/ 1 1) (/ 1 (pow x 5)) (/ 1 (pow x (/ 5 2))) (/ 1 (pow x (/ 5 2))) (/ 1 (pow x 5)) (/ (pow x 5) 1) (/ 1 (pow (* (cbrt x) (cbrt x)) 5)) (/ 1 (pow (sqrt x) 5)) (/ 1 (pow 1 5)) (/ 1 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (/ 1 (sqrt (pow x 5))) (/ 1 1) (/ 1 (pow x (/ 5 2))) (/ (pow x 5) (cbrt 1)) (/ (pow x 5) (sqrt 1)) (/ (pow x 5) 1) (fma (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (cbrt (/ 1 x)) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (fma (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) (/ (cbrt 1) (cbrt x)) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (fma (/ (* (cbrt 1) (cbrt 1)) (sqrt x)) (/ (cbrt 1) (sqrt x)) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (fma (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) x) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (fma (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt 1) (cbrt x)) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (fma (/ (sqrt 1) (sqrt x)) (/ (sqrt 1) (sqrt x)) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (fma (/ (sqrt 1) 1) (/ (sqrt 1) x) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (fma (/ 1 (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (fma (/ 1 (sqrt x)) (/ 1 (sqrt x)) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (fma (/ 1 1) (/ 1 x) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (fma 1 (/ 1 x) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (fma 1 (/ 1 x) (- (* (/ 1 (pow x 3)) 1.0))) (fma (- (/ 1 (pow x 3))) 1.0 (* (/ 1 (pow x 3)) 1.0)) (expm1 (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (log1p (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (/ (exp (/ 1 x)) (exp (* 1.0 (/ 1 (pow x 3))))) (log (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (exp (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (* (cbrt (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (cbrt (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (cbrt (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (* (* (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (sqrt (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (sqrt (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (- (* 1 (pow x 3)) (* x 1.0)) (* x (pow x 3)) (- (* 1 (pow x 3)) (* x (* 1.0 1))) (* x (pow x 3)) (- (pow (/ 1 x) 3) (pow (* 1.0 (/ 1 (pow x 3))) 3)) (+ (* (/ 1 x) (/ 1 x)) (+ (* (* 1.0 (/ 1 (pow x 3))) (* 1.0 (/ 1 (pow x 3)))) (* (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (- (* 1.0 (/ 1 (pow x 3)))) (- (* (/ 1 x) (/ 1 x)) (* (* 1.0 (/ 1 (pow x 3))) (* 1.0 (/ 1 (pow x 3))))) (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (- (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (/ 1 (pow x 3)) (/ 1 (pow x 3)) (/ 1 (pow x 3)) (/ 1 (pow x 5)) (/ 1 (pow x 5)) (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) 1.195 * * [simplify]: iteration 0 : 469 enodes (cost 1138 ) 1.205 * * [simplify]: iteration 1 : 2425 enodes (cost 851 ) 1.247 * * [simplify]: iteration 2 : 5001 enodes (cost 845 ) 1.252 * [simplify]: Simplified to: (expm1 (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (log1p (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (/ 1.0 (pow x 5)) (log (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (exp (fma 1.0 (/ 1 (pow x 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x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (pow (/ 1 x) 3) (/ 1 x) (/ 1 (* x x)) (/ 1 (sqrt (pow x 3))) (/ 1 (sqrt (pow x 3))) 1 (pow (/ 1 x) 3) (/ 1 (pow x (/ 3 2))) (/ 1 (pow x (/ 3 2))) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (pow (/ 1 x) 3) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (pow (/ 1 x) 3) (/ 1 x) (/ 1 (* x x)) (/ 1 (sqrt (pow x 3))) (/ 1 (sqrt (pow x 3))) 1 (pow (/ 1 x) 3) (/ 1 (pow x (/ 3 2))) (/ 1 (pow x (/ 3 2))) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (pow (/ 1 x) 3) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (pow (/ 1 x) 3) (/ 1 x) (/ 1 (* x x)) (/ 1 (sqrt (pow x 3))) (/ 1 (sqrt (pow x 3))) 1 (pow (/ 1 x) 3) (/ 1 (pow x (/ 3 2))) (/ 1 (pow x (/ 3 2))) (pow (/ 1 x) 3) (pow x 3) (/ 1 (* x x)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (* x x)) 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(/ 1 (pow (sqrt x) 5)) 1 (/ 1 (pow x 5)) (/ (/ 1 (cbrt (pow x 5))) (cbrt (pow x 5))) (/ 1 (cbrt (pow x 5))) (/ 1 (sqrt (pow x 5))) (/ 1 (sqrt (pow x 5))) 1 (/ 1 (pow x 5)) (/ 1 (pow x (/ 5 2))) (/ 1 (pow x (/ 5 2))) (/ 1 (pow (* (cbrt x) (cbrt x)) 5)) (/ 1 (pow (cbrt x) 5)) (/ 1 (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 5)) 1 (/ 1 (pow x 5)) (/ (/ 1 (cbrt (pow x 5))) (cbrt (pow x 5))) (/ 1 (cbrt (pow x 5))) (/ 1 (sqrt (pow x 5))) (/ 1 (sqrt (pow x 5))) 1 (/ 1 (pow x 5)) (/ 1 (pow x (/ 5 2))) (/ 1 (pow x (/ 5 2))) (/ 1 (pow x 5)) (pow x 5) (/ 1 (pow (* (cbrt x) (cbrt x)) 5)) (/ 1 (pow (sqrt x) 5)) 1 (/ (/ 1 (cbrt (pow x 5))) (cbrt (pow x 5))) (/ 1 (sqrt (pow x 5))) 1 (/ 1 (pow x (/ 5 2))) (pow x 5) (pow x 5) (pow x 5) (- (* (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (cbrt (/ 1 x))) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (- (/ 1 x) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (- (/ 1 x) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (- (/ 1 x) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (- (/ 1 x) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (- (/ 1 x) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (- (/ 1 x) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (- (/ 1 x) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (- (/ 1 x) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (- (/ 1 x) (/ 1.0 (pow x 3))) (* (pow (/ 1 x) 3) (+ (- 1.0) 1.0)) (expm1 (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (log1p (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (/ (- 1.0) (pow x 3)) (/ (- 1.0) (pow x 3)) (/ (- 1.0) (pow x 3)) (/ (- 1.0) (pow x 3)) (/ (- 1.0) (pow x 3)) (/ (- 1.0) (pow x 3)) (/ (- 1.0) (pow x 3)) (/ (- 1.0) (pow x 3)) (/ (- 1.0) (pow x 3)) (/ (- 1.0) (pow x 3)) (/ (- 1.0) (pow x 3)) (/ (- 1.0) (pow x 3)) (/ (- 1.0) (pow x 3)) (exp (- (/ 1 x) (/ 1.0 (pow x 3)))) (log (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (exp (- (/ 1 x) (/ 1.0 (pow x 3)))) (* (cbrt (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (cbrt (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (cbrt (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (pow (- (/ 1 x) (/ 1.0 (pow x 3))) 3) (sqrt (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (sqrt (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (* x (- (* x x) 1.0)) (pow x 4) (* x (- (* x x) 1.0)) (pow x 4) (- (pow (/ 1 x) 3) (pow (* 1.0 (/ 1 (pow x 3))) 3)) (fma (/ 1.0 (pow x 3)) (fma (pow (/ 1 x) 3) 1.0 (/ 1 x)) (/ 1 (* x x))) (/ (- 1.0) (pow x 3)) (fma (- (* 1.0 1.0)) (/ 1 (pow x 6)) (/ 1 (* x x))) (fma (pow (/ 1 x) 3) 1.0 (/ 1 x)) (/ (- 1.0) (pow x 3)) (- (+ (/ 1.0 (pow x 5)) (/ 1 x)) (/ 1.0 (pow x 3))) (- (+ (/ 1.0 (pow x 5)) (/ 1 x)) (/ 1.0 (pow x 3))) (- (+ (/ 1.0 (pow x 5)) (/ 1 x)) (/ 1.0 (pow x 3))) (pow (/ 1 x) 3) (pow (/ 1 x) 3) (pow (/ 1 x) 3) (/ 1 (pow x 5)) (/ 1 (pow x 5)) (/ 1 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))) (- (/ 1 x) (/ 1.0 (pow x 3))) (- (/ 1 x) (/ 1.0 (pow x 3))) 1.253 * * * [progress]: adding candidates to table 1.567 * [progress]: [Phase 3 of 3] Extracting. 1.567 * * [regime]: Finding splitpoints for: (# # #) 1.567 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ (* x x) 1.0)) x) 1.567 * * * * [regimes]: Trying to branch on (/ x (+ (* x x) 1.0)) from (# # #) 1.590 * * * * [regimes]: Trying to branch on x from (# # #) 1.614 * * * [regime]: Found split indices: #