4.240 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [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 ) 0.015 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.016 * * * * [pick]: Picked # 0.016 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.026 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of 1.0 in x 0.027 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [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 0.062 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.062 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.062 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * * * [progress]: simplifying candidates 0.084 * [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)))) 0.088 * * [simplify]: iteration 0 : 171 enodes (cost 215 ) 0.091 * * [simplify]: iteration 1 : 589 enodes (cost 196 ) 0.101 * * [simplify]: iteration 2 : 1979 enodes (cost 191 ) 0.137 * * [simplify]: iteration 3 : 5002 enodes (cost 186 ) 0.138 * [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)) 0.139 * * * [progress]: adding candidates to table 0.206 * * [progress]: iteration 2 / 4 0.206 * * * [progress]: picking best candidate 0.211 * * * * [pick]: Picked # 0.211 * * * [progress]: localizing error 0.218 * * * [progress]: generating rewritten candidates 0.218 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.223 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.227 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.269 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.284 * * * [progress]: generating series expansions 0.285 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.285 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.286 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.312 * [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 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.326 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.327 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [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 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.373 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.373 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) 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 0.373 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.383 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.386 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.405 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.405 * [taylor]: Taking taylor expansion of -1 in x 0.405 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.407 * [taylor]: Taking taylor expansion of -1 in x 0.407 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.426 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in (x) around 0 0.426 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.428 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.484 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in (x) around 0 0.484 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in (x) around 0 0.517 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.521 * [taylor]: Taking taylor expansion of -1 in x 0.521 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * * * [progress]: simplifying candidates 0.552 * [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) 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(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))))) (* (/ 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)))) (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 (+ (* x x) 1.0))) (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0)))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (sqrt (+ (* x x) 1.0))) (/ (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) 1.0))) (cbrt x))) (sqrt (+ (* x x) 1.0))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 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)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* 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 (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)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (sqrt (- (* x x) 1.0)) (/ x (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (expm1 (/ x (sqrt (+ (* x x) 1.0)))) (log1p (/ x (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0)))) (exp (/ x (sqrt (+ (* x x) 1.0)))) (pow (/ x (sqrt (+ (* x x) 1.0))) 3) (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (pow (/ x (sqrt (+ (* x x) 1.0))) 3) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (- x) (- (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) 1.0))) (cbrt x))) (/ (cbrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt x) (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) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (fabs (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt x) (/ (pow x 1/2) (hypot x (sqrt 1.0))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt x) (/ (pow x 1/2) (hypot x (sqrt 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ x (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (fabs (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) x (/ x (sqrt (sqrt (+ (* x x) 1.0)))) x (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (hypot (pow 1.0 3/2) (pow x 3))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 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)))) (* 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))))) (fma (sqrt 1.0) x (- (* 0.5 (/ (pow x 5) (sqrt 1.0))) (fma 0.125 (/ (pow x 5) (pow (sqrt 1.0) 3)) (* 0.5 (/ (pow x 3) (sqrt 1.0)))))) (fma 0.375 (/ 1 (pow x 4)) (- 1 (* 0.5 (/ 1 (pow x 2))))) (fma 0.5 (/ 1 (pow x 2)) (- (fma 0.375 (/ 1 (pow x 4)) 1))) 0.628 * * * [progress]: adding candidates to table 0.972 * * [progress]: iteration 3 / 4 0.972 * * * [progress]: picking best candidate 0.979 * * * * [pick]: Picked # 0.979 * * * [progress]: localizing error 0.988 * * * [progress]: generating rewritten candidates 0.988 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 0.992 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.997 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.042 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.055 * * * [progress]: generating series expansions 1.055 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 1.055 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 1.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 1.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 1.057 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of 1.0 in x 1.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.096 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 1.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 1.096 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of 1.0 in x 1.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 1.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.129 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.142 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 1.142 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.153 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.153 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.156 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.174 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.174 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.174 * [taylor]: Taking taylor expansion of -1 in x 1.174 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.177 * [taylor]: Taking taylor expansion of -1 in x 1.177 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.201 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in (x) around 0 1.201 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 1.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 1.201 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 1.203 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 1.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.254 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in (x) around 0 1.254 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 1.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.257 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 1.258 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 1.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.287 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in (x) around 0 1.287 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 1.287 * [taylor]: Taking taylor expansion of -1 in x 1.287 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 1.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.287 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 1.287 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 1.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 1.290 * [taylor]: Taking taylor expansion of -1 in x 1.290 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 1.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 1.291 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 1.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * * * [progress]: simplifying candidates 1.321 * [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))) (/ x (sqrt (+ (* x x) 1.0))))) (log1p (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (+ (- (log (sqrt (+ (* x x) 1.0)))) (- (log x) (log (sqrt (+ (* x x) 1.0))))) (+ (- (log (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0))))) (+ (- 0 (log (sqrt (+ (* x x) 1.0)))) (- (log x) (log (sqrt (+ (* x x) 1.0))))) (+ (- 0 (log (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0))))) (+ (- (log 1) (log (sqrt (+ (* x x) 1.0)))) (- (log x) (log (sqrt (+ (* x x) 1.0))))) (+ (- (log 1) (log (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0))))) (+ (log (/ 1 (sqrt (+ (* x x) 1.0)))) (- (log x) (log (sqrt (+ (* x x) 1.0))))) (+ (log (/ 1 (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0))))) (log (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))) (exp (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (/ (* (* x x) x) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (* (* (/ x (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))))) (* (* (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0)))) (/ (* (* x x) x) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))))) (* (* (* (/ 1 (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)))) (/ 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)))))) (cbrt (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))) (* (* (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))) (* (/ 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))))) (sqrt (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))) (* 1 x) (* (sqrt (+ (* x x) 1.0)) (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 (+ (* 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 1) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (* (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (* (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (* (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (* (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ (sqrt 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 (+ (* x x) 1.0))) (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0)))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt 1))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt 1))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt x) 1)) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt 1))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 1)) (* (/ 1 (sqrt (+ (* x x) 1.0))) 1) (* (/ 1 (sqrt (+ (* x x) 1.0))) x) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))))) (* (cbrt (/ 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)))) (* (/ (cbrt 1) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ (cbrt 1) (sqrt (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ (cbrt 1) (sqrt (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 (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ (cbrt 1) (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ (sqrt 1) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ (sqrt 1) (sqrt (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ (sqrt 1) (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ (sqrt 1) (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (sqrt (- (* x x) 1.0)) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (+ (* x x) 1.0))) x) (* 1 (/ x (sqrt (+ (* x x) 1.0)))) (expm1 (/ x (sqrt (+ (* x x) 1.0)))) (log1p (/ x (sqrt (+ (* x x) 1.0)))) (- (log x) (log (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0)))) (exp (/ x (sqrt (+ (* x x) 1.0)))) (/ (* (* x x) x) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (* (* (/ x (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (- x) (- (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ (cbrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt x) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt 1)) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) 1) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ x (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt 1)) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 1) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt 1)) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (/ x 1) (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (- (+ (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)))) (- (+ (* 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)))) (- (+ (* x (sqrt 1.0)) (* 0.5 (/ (pow x 5) (sqrt 1.0)))) (+ (* 0.125 (/ (pow x 5) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 3) (sqrt 1.0))))) (- (+ (* 0.375 (/ 1 (pow x 4))) 1) (* 0.5 (/ 1 (pow x 2)))) (- (* 0.5 (/ 1 (pow x 2))) (+ (* 0.375 (/ 1 (pow x 4))) 1)) 1.331 * * [simplify]: iteration 0 : 634 enodes (cost 1778 ) 1.343 * * [simplify]: iteration 1 : 2978 enodes (cost 1575 ) 1.390 * * [simplify]: iteration 2 : 5001 enodes (cost 1440 ) 1.397 * [simplify]: Simplified to: (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))) (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 (sqrt (+ (* x x) 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 (* (/ 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))))) (* (/ 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)))) (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 (+ (* x x) 1.0))) (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0)))))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (sqrt (+ (* x x) 1.0))) (/ (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) 1.0))) (cbrt x))) (sqrt (+ (* x x) 1.0))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 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)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* 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 (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)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (sqrt (- (* x x) 1.0)) (/ x (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (expm1 (/ x (sqrt (+ (* x x) 1.0)))) (log1p (/ x (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0)))) (exp (/ x (sqrt (+ (* x x) 1.0)))) (pow (/ x (sqrt (+ (* x x) 1.0))) 3) (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (pow (/ x (sqrt (+ (* x x) 1.0))) 3) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (- x) (- (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) 1.0))) (cbrt x))) (/ (cbrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt x) (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) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (fabs (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt x) (/ (pow x 1/2) (hypot x (sqrt 1.0))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt x) (/ (pow x 1/2) (hypot x (sqrt 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ x (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (fabs (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) x (/ x (sqrt (sqrt (+ (* x x) 1.0)))) x (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (hypot (pow 1.0 3/2) (pow x 3))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 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)))) (* 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))))) (fma (sqrt 1.0) x (- (* 0.5 (/ (pow x 5) (sqrt 1.0))) (fma 0.125 (/ (pow x 5) (pow (sqrt 1.0) 3)) (* 0.5 (/ (pow x 3) (sqrt 1.0)))))) (fma 0.375 (/ 1 (pow x 4)) (- 1 (* 0.5 (/ 1 (pow x 2))))) (fma 0.5 (/ 1 (pow x 2)) (- (fma 0.375 (/ 1 (pow x 4)) 1))) 1.398 * * * [progress]: adding candidates to table 1.772 * * [progress]: iteration 4 / 4 1.773 * * * [progress]: picking best candidate 1.778 * * * * [pick]: Picked # 1.778 * * * [progress]: localizing error 1.802 * * * [progress]: generating rewritten candidates 1.802 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.835 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.839 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1.856 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 1.892 * * * [progress]: generating series expansions 1.892 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.894 * [approximate]: Taking taylor expansion of (* (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (/ 1 (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2)))))) in (x) around 0 1.894 * [taylor]: Taking taylor expansion of (* (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (/ 1 (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2)))))) in x 1.894 * [taylor]: Taking taylor expansion of (hypot (pow 1.0 3/2) (pow x 3)) in x 1.894 * [taylor]: Rewrote expression to (sqrt (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow x 3) (pow x 3)))) 1.894 * [taylor]: Taking taylor expansion of (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow x 3) (pow x 3))) in x 1.894 * [taylor]: Taking taylor expansion of (* (pow 1.0 3/2) (pow 1.0 3/2)) in x 1.894 * [taylor]: Taking taylor expansion of (pow 1.0 3/2) in x 1.894 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log 1.0))) in x 1.894 * [taylor]: Taking taylor expansion of (* 3/2 (log 1.0)) in x 1.894 * [taylor]: Taking taylor expansion of 3/2 in x 1.894 * [taylor]: Taking taylor expansion of (log 1.0) in x 1.894 * [taylor]: Taking taylor expansion of 1.0 in x 1.896 * [taylor]: Taking taylor expansion of (pow 1.0 3/2) in x 1.896 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log 1.0))) in x 1.896 * [taylor]: Taking taylor expansion of (* 3/2 (log 1.0)) in x 1.896 * [taylor]: Taking taylor expansion of 3/2 in x 1.896 * [taylor]: Taking taylor expansion of (log 1.0) in x 1.896 * [taylor]: Taking taylor expansion of 1.0 in x 1.898 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow x 3)) in x 1.898 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.906 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))))) in x 1.906 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2)))) in x 1.906 * [taylor]: Taking taylor expansion of (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) in x 1.906 * [taylor]: Taking taylor expansion of (+ (pow x 4) 1.0) in x 1.906 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [taylor]: Taking taylor expansion of 1.0 in x 1.906 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.906 * [taylor]: Taking taylor expansion of 1.0 in x 1.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (* (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (/ 1 (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2)))))) in x 1.908 * [taylor]: Taking taylor expansion of (hypot (pow 1.0 3/2) (pow x 3)) in x 1.909 * [taylor]: Rewrote expression to (sqrt (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow x 3) (pow x 3)))) 1.909 * [taylor]: Taking taylor expansion of (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow x 3) (pow x 3))) in x 1.909 * [taylor]: Taking taylor expansion of (* (pow 1.0 3/2) (pow 1.0 3/2)) in x 1.909 * [taylor]: Taking taylor expansion of (pow 1.0 3/2) in x 1.909 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log 1.0))) in x 1.909 * [taylor]: Taking taylor expansion of (* 3/2 (log 1.0)) in x 1.909 * [taylor]: Taking taylor expansion of 3/2 in x 1.909 * [taylor]: Taking taylor expansion of (log 1.0) in x 1.909 * [taylor]: Taking taylor expansion of 1.0 in x 1.910 * [taylor]: Taking taylor expansion of (pow 1.0 3/2) in x 1.910 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log 1.0))) in x 1.910 * [taylor]: Taking taylor expansion of (* 3/2 (log 1.0)) in x 1.910 * [taylor]: Taking taylor expansion of 3/2 in x 1.911 * [taylor]: Taking taylor expansion of (log 1.0) in x 1.911 * [taylor]: Taking taylor expansion of 1.0 in x 1.912 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow x 3)) in x 1.912 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))))) in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2)))) in x 1.919 * [taylor]: Taking taylor expansion of (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) in x 1.919 * [taylor]: Taking taylor expansion of (+ (pow x 4) 1.0) in x 1.919 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [taylor]: Taking taylor expansion of 1.0 in x 1.919 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.919 * [taylor]: Taking taylor expansion of 1.0 in x 1.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.994 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))))) (hypot (pow 1.0 3/2) (pow (/ 1 x) 3))) in (x) around 0 1.994 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))))) (hypot (pow 1.0 3/2) (pow (/ 1 x) 3))) in x 1.994 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))))) in x 1.994 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))) in x 1.994 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in x 1.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) 1.0) in x 1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.994 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.995 * [taylor]: Taking taylor expansion of 1.0 in x 1.995 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 1.995 * [taylor]: Taking taylor expansion of 1.0 in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.999 * [taylor]: Taking taylor expansion of (hypot (pow 1.0 3/2) (pow (/ 1 x) 3)) in x 1.999 * [taylor]: Rewrote expression to (sqrt (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow (/ 1 x) 3) (pow (/ 1 x) 3)))) 1.999 * [taylor]: Taking taylor expansion of (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow (/ 1 x) 3) (pow (/ 1 x) 3))) in x 1.999 * [taylor]: Taking taylor expansion of (* (pow 1.0 3/2) (pow 1.0 3/2)) in x 1.999 * [taylor]: Taking taylor expansion of (pow 1.0 3/2) in x 1.999 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log 1.0))) in x 1.999 * [taylor]: Taking taylor expansion of (* 3/2 (log 1.0)) in x 1.999 * [taylor]: Taking taylor expansion of 3/2 in x 1.999 * [taylor]: Taking taylor expansion of (log 1.0) in x 1.999 * [taylor]: Taking taylor expansion of 1.0 in x 2.001 * [taylor]: Taking taylor expansion of (pow 1.0 3/2) in x 2.001 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log 1.0))) in x 2.001 * [taylor]: Taking taylor expansion of (* 3/2 (log 1.0)) in x 2.001 * [taylor]: Taking taylor expansion of 3/2 in x 2.001 * [taylor]: Taking taylor expansion of (log 1.0) in x 2.001 * [taylor]: Taking taylor expansion of 1.0 in x 2.003 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 3) (pow (/ 1 x) 3)) in x 2.003 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x 2.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.003 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x 2.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.008 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))))) (hypot (pow 1.0 3/2) (pow (/ 1 x) 3))) in x 2.008 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))))) in x 2.008 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))) in x 2.008 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in x 2.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) 1.0) in x 2.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.008 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.008 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of 1.0 in x 2.009 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 2.009 * [taylor]: Taking taylor expansion of 1.0 in x 2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of (hypot (pow 1.0 3/2) (pow (/ 1 x) 3)) in x 2.013 * [taylor]: Rewrote expression to (sqrt (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow (/ 1 x) 3) (pow (/ 1 x) 3)))) 2.013 * [taylor]: Taking taylor expansion of (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow (/ 1 x) 3) (pow (/ 1 x) 3))) in x 2.013 * [taylor]: Taking taylor expansion of (* (pow 1.0 3/2) (pow 1.0 3/2)) in x 2.013 * [taylor]: Taking taylor expansion of (pow 1.0 3/2) in x 2.013 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log 1.0))) in x 2.013 * [taylor]: Taking taylor expansion of (* 3/2 (log 1.0)) in x 2.013 * [taylor]: Taking taylor expansion of 3/2 in x 2.013 * [taylor]: Taking taylor expansion of (log 1.0) in x 2.013 * [taylor]: Taking taylor expansion of 1.0 in x 2.015 * [taylor]: Taking taylor expansion of (pow 1.0 3/2) in x 2.015 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log 1.0))) in x 2.015 * [taylor]: Taking taylor expansion of (* 3/2 (log 1.0)) in x 2.015 * [taylor]: Taking taylor expansion of 3/2 in x 2.015 * [taylor]: Taking taylor expansion of (log 1.0) in x 2.015 * [taylor]: Taking taylor expansion of 1.0 in x 2.017 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 3) (pow (/ 1 x) 3)) in x 2.017 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x 2.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.017 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x 2.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.069 * [approximate]: Taking taylor expansion of (* (hypot (pow 1.0 3/2) (pow (/ -1 x) 3)) (sqrt (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))))) in (x) around 0 2.069 * [taylor]: Taking taylor expansion of (* (hypot (pow 1.0 3/2) (pow (/ -1 x) 3)) (sqrt (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))))) in x 2.069 * [taylor]: Taking taylor expansion of (hypot (pow 1.0 3/2) (pow (/ -1 x) 3)) in x 2.069 * [taylor]: Rewrote expression to (sqrt (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow (/ -1 x) 3) (pow (/ -1 x) 3)))) 2.069 * [taylor]: Taking taylor expansion of (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow (/ -1 x) 3) (pow (/ -1 x) 3))) in x 2.069 * [taylor]: Taking taylor expansion of (* (pow 1.0 3/2) (pow 1.0 3/2)) in x 2.069 * [taylor]: Taking taylor expansion of (pow 1.0 3/2) in x 2.069 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log 1.0))) in x 2.069 * [taylor]: Taking taylor expansion of (* 3/2 (log 1.0)) in x 2.069 * [taylor]: Taking taylor expansion of 3/2 in x 2.069 * [taylor]: Taking taylor expansion of (log 1.0) in x 2.069 * [taylor]: Taking taylor expansion of 1.0 in x 2.071 * [taylor]: Taking taylor expansion of (pow 1.0 3/2) in x 2.071 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log 1.0))) in x 2.071 * [taylor]: Taking taylor expansion of (* 3/2 (log 1.0)) in x 2.071 * [taylor]: Taking taylor expansion of 3/2 in x 2.071 * [taylor]: Taking taylor expansion of (log 1.0) in x 2.071 * [taylor]: Taking taylor expansion of 1.0 in x 2.073 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 3) (pow (/ -1 x) 3)) in x 2.073 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x 2.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.073 * [taylor]: Taking taylor expansion of -1 in x 2.073 * [taylor]: Taking taylor expansion of x in x 2.073 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x 2.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.073 * [taylor]: Taking taylor expansion of -1 in x 2.073 * [taylor]: Taking taylor expansion of x in x 2.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))))) in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))) in x 2.079 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in x 2.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) 1.0) in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.079 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.079 * [taylor]: Taking taylor expansion of 1.0 in x 2.079 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 2.079 * [taylor]: Taking taylor expansion of 1.0 in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.083 * [taylor]: Taking taylor expansion of (* (hypot (pow 1.0 3/2) (pow (/ -1 x) 3)) (sqrt (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))))) in x 2.083 * [taylor]: Taking taylor expansion of (hypot (pow 1.0 3/2) (pow (/ -1 x) 3)) in x 2.083 * [taylor]: Rewrote expression to (sqrt (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow (/ -1 x) 3) (pow (/ -1 x) 3)))) 2.083 * [taylor]: Taking taylor expansion of (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow (/ -1 x) 3) (pow (/ -1 x) 3))) in x 2.083 * [taylor]: Taking taylor expansion of (* (pow 1.0 3/2) (pow 1.0 3/2)) in x 2.083 * [taylor]: Taking taylor expansion of (pow 1.0 3/2) in x 2.083 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log 1.0))) in x 2.083 * [taylor]: Taking taylor expansion of (* 3/2 (log 1.0)) in x 2.083 * [taylor]: Taking taylor expansion of 3/2 in x 2.083 * [taylor]: Taking taylor expansion of (log 1.0) in x 2.083 * [taylor]: Taking taylor expansion of 1.0 in x 2.085 * [taylor]: Taking taylor expansion of (pow 1.0 3/2) in x 2.085 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log 1.0))) in x 2.085 * [taylor]: Taking taylor expansion of (* 3/2 (log 1.0)) in x 2.085 * [taylor]: Taking taylor expansion of 3/2 in x 2.085 * [taylor]: Taking taylor expansion of (log 1.0) in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.087 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 3) (pow (/ -1 x) 3)) in x 2.087 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x 2.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.087 * [taylor]: Taking taylor expansion of -1 in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.087 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x 2.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.087 * [taylor]: Taking taylor expansion of -1 in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))))) in x 2.092 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))) in x 2.092 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in x 2.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) 1.0) in x 2.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.092 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.141 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.141 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 2.141 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 2.141 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 2.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.141 * [taylor]: Taking taylor expansion of 1.0 in x 2.142 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 2.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 2.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.142 * [taylor]: Taking taylor expansion of x in x 2.142 * [taylor]: Taking taylor expansion of 1.0 in x 2.155 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 2.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 2.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 2.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.155 * [taylor]: Taking taylor expansion of x in x 2.156 * [taylor]: Taking taylor expansion of 1.0 in x 2.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 2.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 2.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.158 * [taylor]: Taking taylor expansion of x in x 2.158 * [taylor]: Taking taylor expansion of 1.0 in x 2.168 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 2.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 2.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.169 * [taylor]: Taking taylor expansion of x in x 2.169 * [taylor]: Taking taylor expansion of 1.0 in x 2.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 2.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.171 * [taylor]: Taking taylor expansion of x in x 2.171 * [taylor]: Taking taylor expansion of 1.0 in x 2.182 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 2.182 * [approximate]: Taking taylor expansion of (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) in (x) around 0 2.182 * [taylor]: Taking taylor expansion of (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) in x 2.182 * [taylor]: Taking taylor expansion of (+ (pow x 4) 1.0) in x 2.182 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.182 * [taylor]: Taking taylor expansion of 1.0 in x 2.182 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 2.182 * [taylor]: Taking taylor expansion of 1.0 in x 2.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.182 * [taylor]: Taking taylor expansion of (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) in x 2.182 * [taylor]: Taking taylor expansion of (+ (pow x 4) 1.0) in x 2.182 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.182 * [taylor]: Taking taylor expansion of 1.0 in x 2.182 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 2.182 * [taylor]: Taking taylor expansion of 1.0 in x 2.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.195 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in (x) around 0 2.195 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in x 2.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) 1.0) in x 2.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.195 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.195 * [taylor]: Taking taylor expansion of x in x 2.196 * [taylor]: Taking taylor expansion of 1.0 in x 2.196 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 2.196 * [taylor]: Taking taylor expansion of 1.0 in x 2.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.196 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in x 2.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) 1.0) in x 2.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.196 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.197 * [taylor]: Taking taylor expansion of 1.0 in x 2.197 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 2.197 * [taylor]: Taking taylor expansion of 1.0 in x 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.197 * [taylor]: Taking taylor expansion of x in x 2.211 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in (x) around 0 2.211 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in x 2.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) 1.0) in x 2.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.211 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.211 * [taylor]: Taking taylor expansion of x in x 2.211 * [taylor]: Taking taylor expansion of 1.0 in x 2.211 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 2.212 * [taylor]: Taking taylor expansion of 1.0 in x 2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.212 * [taylor]: Taking taylor expansion of x in x 2.212 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in x 2.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) 1.0) in x 2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.212 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.212 * [taylor]: Taking taylor expansion of x in x 2.213 * [taylor]: Taking taylor expansion of 1.0 in x 2.213 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 2.213 * [taylor]: Taking taylor expansion of 1.0 in x 2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.213 * [taylor]: Taking taylor expansion of x in x 2.226 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 2.227 * [approximate]: Taking taylor expansion of (sqrt (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2)))) in (x) around 0 2.227 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2)))) in x 2.227 * [taylor]: Taking taylor expansion of (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) in x 2.227 * [taylor]: Taking taylor expansion of (+ (pow x 4) 1.0) in x 2.227 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.227 * [taylor]: Taking taylor expansion of x in x 2.227 * [taylor]: Taking taylor expansion of 1.0 in x 2.227 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 2.227 * [taylor]: Taking taylor expansion of 1.0 in x 2.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.227 * [taylor]: Taking taylor expansion of x in x 2.228 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2)))) in x 2.228 * [taylor]: Taking taylor expansion of (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) in x 2.228 * [taylor]: Taking taylor expansion of (+ (pow x 4) 1.0) in x 2.228 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.228 * [taylor]: Taking taylor expansion of x in x 2.228 * [taylor]: Taking taylor expansion of 1.0 in x 2.228 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 2.228 * [taylor]: Taking taylor expansion of 1.0 in x 2.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.229 * [taylor]: Taking taylor expansion of x in x 2.251 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))) in (x) around 0 2.252 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))) in x 2.252 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in x 2.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) 1.0) in x 2.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.252 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.252 * [taylor]: Taking taylor expansion of x in x 2.252 * [taylor]: Taking taylor expansion of 1.0 in x 2.252 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 2.252 * [taylor]: Taking taylor expansion of 1.0 in x 2.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.252 * [taylor]: Taking taylor expansion of x in x 2.255 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))) in x 2.255 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in x 2.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) 1.0) in x 2.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.256 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.256 * [taylor]: Taking taylor expansion of x in x 2.256 * [taylor]: Taking taylor expansion of 1.0 in x 2.256 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 2.256 * [taylor]: Taking taylor expansion of 1.0 in x 2.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.256 * [taylor]: Taking taylor expansion of x in x 2.281 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))) in (x) around 0 2.281 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))) in x 2.281 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in x 2.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) 1.0) in x 2.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.281 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.281 * [taylor]: Taking taylor expansion of x in x 2.281 * [taylor]: Taking taylor expansion of 1.0 in x 2.281 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 2.281 * [taylor]: Taking taylor expansion of 1.0 in x 2.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.282 * [taylor]: Taking taylor expansion of x in x 2.285 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2))))) in x 2.285 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) 1.0) (* 1.0 (/ 1 (pow x 2)))) in x 2.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) 1.0) in x 2.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.285 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.285 * [taylor]: Taking taylor expansion of x in x 2.285 * [taylor]: Taking taylor expansion of 1.0 in x 2.285 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 2.285 * [taylor]: Taking taylor expansion of 1.0 in x 2.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.286 * [taylor]: Taking taylor expansion of x in x 2.303 * * * [progress]: simplifying candidates 2.305 * [simplify]: Simplifying using # : (expm1 (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (log1p (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (- (log (hypot (pow 1.0 3/2) (pow x 3))) (log (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (log (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (exp (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (* (* (hypot (pow 1.0 3/2) (pow x 3)) (hypot (pow 1.0 3/2) (pow x 3))) (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) (* (* x x) 1.0))))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (* (cbrt (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (cbrt (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (cbrt (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (* (* (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (+ (* (pow 1.0 3/2) (pow 1.0 3/2)) (* (pow x 3) (pow x 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (sqrt (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (- (hypot (pow 1.0 3/2) (pow x 3))) (- (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (* (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (* (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (* (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (* (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) (sqrt 1)) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (* (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (* (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) 1) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt 1)) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) 1) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ 1 (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ 1 (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ 1 (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ 1 (sqrt 1)) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ 1 (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ 1 1) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ 1 (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (hypot (pow 1.0 3/2) (pow x 3))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt 1)) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) 1) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (hypot (pow 1.0 3/2) (pow x 3)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (hypot (pow 1.0 3/2) (pow x 3))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (pow (* (* x x) (* x x)) 3) (pow (- (* 1.0 1.0) (* (* x x) 1.0)) 3)))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (- (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (- (* 1.0 1.0) (* (* x x) 1.0)) (- (* 1.0 1.0) (* (* 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 (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (log1p (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (* (exp (* (* x x) (* x x))) (/ (exp (* 1.0 1.0)) (exp (* (* x x) 1.0)))) (* (exp (* (* x x) (* x x))) (exp (- (* 1.0 1.0) (* (* x x) 1.0)))) (log (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (exp (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (* (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (* (* (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (+ (pow (* (* x x) (* x x)) 3) (pow (- (* 1.0 1.0) (* (* x x) 1.0)) 3)) (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (- (* (- (* 1.0 1.0) (* (* x x) 1.0)) (- (* 1.0 1.0) (* (* x x) 1.0))) (* (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (- (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (- (* 1.0 1.0) (* (* x x) 1.0)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (- (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))) (+ (* (* x x) (* x x)) (fma 1.0 1.0 (- (* 1.0 (* x x))))) (+ (* (* x x) (* x x)) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* 1.0 1.0)) (expm1 (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (log1p (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (log (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (exp (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (* (* (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (sqrt 1) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (+ (pow (* (* x x) (* x x)) 3) (pow (- (* 1.0 1.0) (* (* x x) 1.0)) 3))) (sqrt (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (- (* (- (* 1.0 1.0) (* (* x x) 1.0)) (- (* 1.0 1.0) (* (* x x) 1.0))) (* (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (sqrt (- (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (- (* 1.0 1.0) (* (* x x) 1.0)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (sqrt (- (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (/ 1 2) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (- (+ (* 0.5 (pow x 2)) (pow (sqrt 1.0) 2)) (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 2)))) (- (+ 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)))) (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) (- (+ (* 1/2 (/ (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))))) (- (+ (pow x 2) (* 0.375 (/ 1 (pow x 2)))) 0.5) (- (+ (pow x 2) (* 0.375 (/ 1 (pow x 2)))) 0.5) 2.314 * * [simplify]: iteration 0 : 421 enodes (cost 1546 ) 2.322 * * [simplify]: iteration 1 : 1570 enodes (cost 1415 ) 2.350 * * [simplify]: iteration 2 : 5001 enodes (cost 1380 ) 2.357 * [simplify]: Simplified to: (expm1 (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (log1p (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (log (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (log (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (exp (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (pow (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) 3) (* (cbrt (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (cbrt (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (cbrt (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (pow (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) 3) (/ (hypot (pow 1.0 3/2) (pow x 3)) (/ (fma 1.0 (- 1.0 (pow x 2)) (pow x 4)) (hypot (pow 1.0 3/2) (pow x 3)))) (sqrt (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (sqrt (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (- (hypot (pow 1.0 3/2) (pow x 3))) (- (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (* (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (/ (fabs (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (hypot (pow 1.0 3/2) (pow x 3))))) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (* (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (* (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (* (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (* (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) (/ (cbrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (fabs (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (/ (sqrt (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ 1 (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ 1 (* (fabs (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) 1)) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ 1 (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) 1 (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ 1 (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) 1 (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ 1 (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (hypot (pow 1.0 3/2) (pow x 3))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (fabs (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (hypot (pow 1.0 3/2) (pow x 3)) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (hypot (pow 1.0 3/2) (pow x 3)) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (hypot (pow 1.0 3/2) (pow x 3)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (hypot (pow 1.0 3/2) (pow x 3)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (hypot (pow 1.0 3/2) (pow x 3))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (hypot (pow (- (* 1.0 1.0) (* (* x x) 1.0)) 3/2) (pow x 6))) (/ (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (- (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (- (* 1.0 1.0) (* (* x x) 1.0)) (- (* 1.0 1.0) (* (* 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))) (pow (sqrt (+ (* x x) 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 (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (log1p (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (* (exp (fma 1.0 1.0 (pow x 4))) (exp (- (* 1.0 (* x x))))) (* (exp (fma 1.0 1.0 (pow x 4))) (exp (- (* 1.0 (* x x))))) (log (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (* (exp (fma 1.0 1.0 (pow x 4))) (exp (- (* 1.0 (* x x))))) (* (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (pow (fma 1.0 (- 1.0 (pow x 2)) (pow x 4)) 3) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (fma (pow 1.0 3) (pow (- 1.0 (pow x 2)) 3) (pow x 12)) (fma 1.0 (* (- 1.0 (pow x 2)) (fma 1.0 (- 1.0 (pow x 2)) (- (pow x 4)))) (pow x 8)) (fma (* (- 1.0) (- 1.0 (pow x 2))) (* 1.0 (- 1.0 (pow x 2))) (pow x 8)) (fma (* 1.0 x) x (fma (- 1.0) 1.0 (pow x 4))) (fma 1.0 (- 1.0 (pow x 2)) (pow x 4)) (fma 1.0 1.0 (pow x 4)) (fma 1.0 1.0 (pow x 4)) (fma 1.0 1.0 (pow x 4)) (expm1 (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (log1p (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (log (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (exp (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (pow (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) 3) (fabs (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) 1 (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (hypot (pow (- (* 1.0 1.0) (* (* x x) 1.0)) 3/2) (pow x 6)) (sqrt (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (- (* (- (* 1.0 1.0) (* (* x x) 1.0)) (- (* 1.0 1.0) (* (* x x) 1.0))) (* (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))))) (sqrt (- (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (- (* 1.0 1.0) (* (* x x) 1.0)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (sqrt (- (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) 1/2 (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (fma (- 0.125) (/ (pow x 4) 1.0) (fma (pow x 2) 0.5 1.0)) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* (/ 1 x) (- (/ 0.125 (pow x 2)) 0.5)) 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)) (- (* (/ 1 x) (- (/ 0.125 (pow x 2)) 0.5)) x) (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) (- (+ (pow x 4) 1.0) (* 1.0 (pow x 2))) (+ (sqrt 1.0) (+ (* (/ (pow x 4) (sqrt 1.0)) (- 1/2 (/ 0.125 1.0))) (- (* 0.5 (/ (pow x 2) (sqrt 1.0)))))) (fma x x (- (* 0.375 (/ 1 (pow x 2))) 0.5)) (fma x x (- (* 0.375 (/ 1 (pow x 2))) 0.5)) 2.358 * * * [progress]: adding candidates to table 2.775 * [progress]: [Phase 3 of 3] Extracting. 2.775 * * [regime]: Finding splitpoints for: (# # #) 2.776 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.776 * * * * [regimes]: Trying to branch on x from (# # #) 2.803 * * * [regime]: Found split indices: #