3.364 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 0.017 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.018 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.031 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.043 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.045 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 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 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.068 * [taylor]: Taking taylor expansion of -1 in x 0.068 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * * * [progress]: simplifying candidates 0.088 * [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)))) 0.093 * * [simplify]: iteration 0 : 171 enodes (cost 215 ) 0.097 * * [simplify]: iteration 1 : 589 enodes (cost 196 ) 0.107 * * [simplify]: iteration 2 : 1979 enodes (cost 191 ) 0.144 * * [simplify]: iteration 3 : 5002 enodes (cost 186 ) 0.146 * [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)) 0.146 * * * [progress]: adding candidates to table 0.210 * * [progress]: iteration 2 / 4 0.210 * * * [progress]: picking best candidate 0.217 * * * * [pick]: Picked # 0.217 * * * [progress]: localizing error 0.224 * * * [progress]: generating rewritten candidates 0.224 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.229 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.234 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.240 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.272 * * * [progress]: generating series expansions 0.272 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.272 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.272 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.321 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.323 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.364 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in (x) around 0 0.364 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.422 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in (x) around 0 0.422 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 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 (/ 1 (pow x 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.451 * [taylor]: Taking taylor expansion of -1 in x 0.451 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.489 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.489 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.501 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.503 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.523 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.523 * [taylor]: Taking taylor expansion of -1 in x 0.523 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.526 * [taylor]: Taking taylor expansion of -1 in x 0.526 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * * * [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 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(/ (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)))) (- (+ (* 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)) (- (+ (* 1.0 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)))) 0.569 * * [simplify]: iteration 0 : 793 enodes (cost 3897 ) 0.582 * * [simplify]: iteration 1 : 3057 enodes (cost 3471 ) 0.617 * * [simplify]: iteration 2 : 5001 enodes (cost 3383 ) 0.634 * 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(sqrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* (fabs (cbrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))))) (/ (/ x (sqrt (cbrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ x (cbrt (+ (* x x) 1.0))) (/ 1 (* (sqrt (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (* 1 (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (* (sqrt (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (* 1 (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* (sqrt (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* 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))) (sqrt (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))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* 1 (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (fma x x 1.0)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (fma x x 1.0)) (/ (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* (sqrt (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* 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))) (sqrt (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))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* 1 (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (fma x x 1.0)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (fma x x 1.0)) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* 1 (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (fma x x 1.0)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (fma x x 1.0)) (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (fabs (cbrt (+ (* x x) 1.0)))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (pow (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 3) x (/ 1 (fma x x 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (pow (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 3) x (/ 1 (fma x x 1.0)) (/ (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* 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 (sqrt (+ (* x x) 1.0)))) (/ (/ x (fabs (cbrt (+ (* 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)))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (sqrt (+ (* 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)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (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) 1.0))) (/ (/ x (sqrt (sqrt (+ (* 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)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (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) 1.0))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (- (* x x) 1.0)) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (* (fabs (cbrt (+ (* x x) 1.0))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))))) (/ (sqrt (- (* x x) 1.0)) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (fma x x 1.0) x) (/ (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (* (fabs (cbrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (fma x x 1.0) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (fma x x 1.0) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (fma x x 1.0) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (fma x x 1.0) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ x (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0))))) (/ (fma x x 1.0) x) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0))))) (/ (fma x x 1.0) x) (/ (fma x x 1.0) x) (fma x x 1.0) (/ (sqrt (+ (* x x) 1.0)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (/ (/ x (hypot (pow 1.0 3/2) (pow x 3))) (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (fma x x 1.0) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow x 3)) (fma 0.5 (/ 1 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (fma (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))) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) (fma 1.0 (/ 1 (pow x 5)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))) 0.636 * * * [progress]: adding candidates to table 1.019 * * [progress]: iteration 3 / 4 1.019 * * * [progress]: picking best candidate 1.025 * * * * [pick]: Picked # 1.025 * * * [progress]: localizing error 1.030 * * * [progress]: generating rewritten candidates 1.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.033 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.043 * * * [progress]: generating series expansions 1.043 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.044 * [approximate]: Taking taylor expansion of (/ (fma x x 1.0) x) in (x) around 0 1.044 * [taylor]: Taking taylor expansion of (/ (fma x x 1.0) x) in x 1.044 * [taylor]: Taking taylor expansion of (fma x x 1.0) in x 1.044 * [taylor]: Rewrote expression to (+ (* x x) 1.0) 1.044 * [taylor]: Taking taylor expansion of (* x x) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of 1.0 in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of (/ (fma x x 1.0) x) in x 1.045 * [taylor]: Taking taylor expansion of (fma x x 1.0) in x 1.045 * [taylor]: Rewrote expression to (+ (* x x) 1.0) 1.045 * [taylor]: Taking taylor expansion of (* x x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.058 * [approximate]: Taking taylor expansion of (* x (fma (/ 1 x) (/ 1 x) 1.0)) in (x) around 0 1.058 * [taylor]: Taking taylor expansion of (* x (fma (/ 1 x) (/ 1 x) 1.0)) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) 1.0) in x 1.058 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) 1.0) 1.058 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [taylor]: Taking taylor expansion of (* x (fma (/ 1 x) (/ 1 x) 1.0)) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) 1.0) in x 1.059 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) 1.0) 1.059 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.086 * [approximate]: Taking taylor expansion of (* -1 (* x (fma (/ -1 x) (/ -1 x) 1.0))) in (x) around 0 1.086 * [taylor]: Taking taylor expansion of (* -1 (* x (fma (/ -1 x) (/ -1 x) 1.0))) in x 1.086 * [taylor]: Taking taylor expansion of -1 in x 1.086 * [taylor]: Taking taylor expansion of (* x (fma (/ -1 x) (/ -1 x) 1.0)) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) 1.0) in x 1.086 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) 1.0) 1.086 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.086 * [taylor]: Taking taylor expansion of -1 in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.087 * [taylor]: Taking taylor expansion of -1 in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of 1.0 in x 1.087 * [taylor]: Taking taylor expansion of (* -1 (* x (fma (/ -1 x) (/ -1 x) 1.0))) in x 1.087 * [taylor]: Taking taylor expansion of -1 in x 1.087 * [taylor]: Taking taylor expansion of (* x (fma (/ -1 x) (/ -1 x) 1.0)) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) 1.0) in x 1.087 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) 1.0) 1.087 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.087 * [taylor]: Taking taylor expansion of -1 in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.087 * [taylor]: Taking taylor expansion of -1 in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.128 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.128 * [approximate]: Taking taylor expansion of (/ x (fma x x 1.0)) in (x) around 0 1.128 * [taylor]: Taking taylor expansion of (/ x (fma x x 1.0)) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (fma x x 1.0) in x 1.128 * [taylor]: Rewrote expression to (+ (* x x) 1.0) 1.128 * [taylor]: Taking taylor expansion of (* x x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.129 * [taylor]: Taking taylor expansion of (/ x (fma x x 1.0)) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (fma x x 1.0) in x 1.129 * [taylor]: Rewrote expression to (+ (* x x) 1.0) 1.129 * [taylor]: Taking taylor expansion of (* x x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of 1.0 in x 1.140 * [approximate]: Taking taylor expansion of (/ 1 (* x (fma (/ 1 x) (/ 1 x) 1.0))) in (x) around 0 1.140 * [taylor]: Taking taylor expansion of (/ 1 (* x (fma (/ 1 x) (/ 1 x) 1.0))) in x 1.140 * [taylor]: Taking taylor expansion of (* x (fma (/ 1 x) (/ 1 x) 1.0)) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) 1.0) in x 1.140 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) 1.0) 1.140 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 (* x (fma (/ 1 x) (/ 1 x) 1.0))) in x 1.144 * [taylor]: Taking taylor expansion of (* x (fma (/ 1 x) (/ 1 x) 1.0)) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) 1.0) in x 1.144 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) 1.0) 1.144 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.165 * [approximate]: Taking taylor expansion of (/ -1 (* x (fma (/ -1 x) (/ -1 x) 1.0))) in (x) around 0 1.165 * [taylor]: Taking taylor expansion of (/ -1 (* x (fma (/ -1 x) (/ -1 x) 1.0))) in x 1.166 * [taylor]: Taking taylor expansion of -1 in x 1.166 * [taylor]: Taking taylor expansion of (* x (fma (/ -1 x) (/ -1 x) 1.0)) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) 1.0) in x 1.166 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) 1.0) 1.166 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.166 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.166 * [taylor]: Taking taylor expansion of -1 in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.166 * [taylor]: Taking taylor expansion of -1 in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of (/ -1 (* x (fma (/ -1 x) (/ -1 x) 1.0))) in x 1.169 * [taylor]: Taking taylor expansion of -1 in x 1.169 * [taylor]: Taking taylor expansion of (* x (fma (/ -1 x) (/ -1 x) 1.0)) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) 1.0) in x 1.170 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) 1.0) 1.170 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.170 * [taylor]: Taking taylor expansion of -1 in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.170 * [taylor]: Taking taylor expansion of -1 in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * * * [progress]: simplifying candidates 1.199 * [simplify]: Simplifying using # : (expm1 (/ (fma x x 1.0) x)) (log1p (/ (fma x x 1.0) x)) (- (log (fma x x 1.0)) (log x)) (log (/ (fma x x 1.0) x)) (exp (/ (fma x x 1.0) x)) (/ (* (* (fma x x 1.0) (fma x x 1.0)) (fma x x 1.0)) (* (* x x) x)) (* (cbrt (/ (fma x x 1.0) x)) (cbrt (/ (fma x x 1.0) x))) (cbrt (/ (fma x x 1.0) x)) (* (* (/ (fma x x 1.0) x) (/ (fma x x 1.0) x)) (/ (fma x x 1.0) x)) (sqrt (/ (fma x x 1.0) x)) (sqrt (/ (fma x x 1.0) x)) (- (fma x x 1.0)) (- x) (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (* (cbrt x) (cbrt x))) (/ (cbrt (fma x x 1.0)) (cbrt x)) (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (sqrt x)) (/ (cbrt (fma x x 1.0)) (sqrt x)) (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) 1) (/ (cbrt (fma x x 1.0)) x) (/ (sqrt (fma x x 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (fma x x 1.0)) (cbrt x)) (/ (sqrt (fma x x 1.0)) (sqrt x)) (/ (sqrt (fma x x 1.0)) (sqrt x)) (/ (sqrt (fma x x 1.0)) 1) (/ (sqrt (fma x x 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (fma x x 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (fma x x 1.0) (sqrt x)) (/ 1 1) (/ (fma x x 1.0) x) (/ 1 x) (/ x (fma x x 1.0)) (/ (fma x x 1.0) (* (cbrt x) (cbrt x))) (/ (fma x x 1.0) (sqrt x)) (/ (fma x x 1.0) 1) (/ x (cbrt (fma x x 1.0))) (/ x (sqrt (fma x x 1.0))) (/ x (fma x x 1.0)) (expm1 (/ 1 (/ (fma x x 1.0) x))) (log1p (/ 1 (/ (fma x x 1.0) x))) (- 1) (- (- (log (fma x x 1.0)) (log x))) (- (log (/ (fma x x 1.0) x))) (- 0 (- (log (fma x x 1.0)) (log x))) (- 0 (log (/ (fma x x 1.0) x))) (- (log 1) (- (log (fma x x 1.0)) (log x))) (- (log 1) (log (/ (fma x x 1.0) x))) (log (/ 1 (/ (fma x x 1.0) x))) (exp (/ 1 (/ (fma x x 1.0) x))) (/ (* (* 1 1) 1) (/ (* (* (fma x x 1.0) (fma x x 1.0)) (fma x x 1.0)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (fma x x 1.0) x) (/ (fma x x 1.0) x)) (/ (fma x x 1.0) x))) (* (cbrt (/ 1 (/ (fma x x 1.0) x))) (cbrt (/ 1 (/ (fma x x 1.0) x)))) (cbrt (/ 1 (/ (fma x x 1.0) x))) (* (* (/ 1 (/ (fma x x 1.0) x)) (/ 1 (/ (fma x x 1.0) x))) (/ 1 (/ (fma x x 1.0) x))) (sqrt (/ 1 (/ (fma x x 1.0) x))) (sqrt (/ 1 (/ (fma x x 1.0) x))) (- 1) (- (/ (fma x x 1.0) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (fma x x 1.0) x)) (cbrt (/ (fma x x 1.0) x)))) (/ (cbrt 1) (cbrt (/ (fma x x 1.0) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (fma x x 1.0) x))) (/ (cbrt 1) (sqrt (/ (fma x x 1.0) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (fma x x 1.0)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (fma x x 1.0)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) 1)) (/ (cbrt 1) (/ (cbrt (fma x x 1.0)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (fma x x 1.0)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (fma x x 1.0)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (fma x x 1.0)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (fma x x 1.0)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (fma x x 1.0)) 1)) (/ (cbrt 1) (/ (sqrt (fma x x 1.0)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (fma x x 1.0) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (fma x x 1.0) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (fma x x 1.0) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (fma x x 1.0) x)) (/ (* (cbrt 1) (cbrt 1)) (fma x x 1.0)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (fma x x 1.0) x)) (cbrt (/ (fma x x 1.0) x)))) (/ (sqrt 1) (cbrt (/ (fma x x 1.0) x))) (/ (sqrt 1) (sqrt (/ (fma x x 1.0) x))) (/ (sqrt 1) (sqrt (/ (fma x x 1.0) x))) (/ (sqrt 1) (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (fma x x 1.0)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (fma x x 1.0)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) 1)) (/ (sqrt 1) (/ (cbrt (fma x x 1.0)) x)) (/ (sqrt 1) (/ (sqrt (fma x x 1.0)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (fma x x 1.0)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (fma x x 1.0)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (fma x x 1.0)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (fma x x 1.0)) 1)) (/ (sqrt 1) (/ (sqrt (fma x x 1.0)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (fma x x 1.0) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (fma x x 1.0) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (fma x x 1.0) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (fma x x 1.0) x)) (/ (sqrt 1) (fma x x 1.0)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (fma x x 1.0) x)) (cbrt (/ (fma x x 1.0) x)))) (/ 1 (cbrt (/ (fma x x 1.0) x))) (/ 1 (sqrt (/ (fma x x 1.0) x))) (/ 1 (sqrt (/ (fma x x 1.0) x))) (/ 1 (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (fma x x 1.0)) (cbrt x))) (/ 1 (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (sqrt x))) (/ 1 (/ (cbrt (fma x x 1.0)) (sqrt x))) (/ 1 (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) 1)) (/ 1 (/ (cbrt (fma x x 1.0)) x)) (/ 1 (/ (sqrt (fma x x 1.0)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (fma x x 1.0)) (cbrt x))) (/ 1 (/ (sqrt (fma x x 1.0)) (sqrt x))) (/ 1 (/ (sqrt (fma x x 1.0)) (sqrt x))) (/ 1 (/ (sqrt (fma x x 1.0)) 1)) (/ 1 (/ (sqrt (fma x x 1.0)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (fma x x 1.0) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (fma x x 1.0) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (fma x x 1.0) x)) (/ 1 1) (/ 1 (/ (fma x x 1.0) x)) (/ 1 (fma x x 1.0)) (/ 1 (/ 1 x)) (/ 1 (/ (fma x x 1.0) x)) (/ (/ (fma x x 1.0) x) 1) (/ 1 (* (cbrt (/ (fma x x 1.0) x)) (cbrt (/ (fma x x 1.0) x)))) (/ 1 (sqrt (/ (fma x x 1.0) x))) (/ 1 (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (sqrt x))) (/ 1 (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) 1)) (/ 1 (/ (sqrt (fma x x 1.0)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (fma x x 1.0)) (sqrt x))) (/ 1 (/ (sqrt (fma x x 1.0)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (fma x x 1.0)) (/ (/ (fma x x 1.0) x) (cbrt 1)) (/ (/ (fma x x 1.0) x) (sqrt 1)) (/ (/ (fma x x 1.0) x) 1) (/ 1 (fma x x 1.0)) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 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)))) 1.205 * * [simplify]: iteration 0 : 360 enodes (cost 746 ) 1.212 * * [simplify]: iteration 1 : 1496 enodes (cost 655 ) 1.235 * * [simplify]: iteration 2 : 5002 enodes (cost 578 ) 1.239 * [simplify]: Simplified to: (expm1 (/ (fma x x 1.0) x)) (log1p (/ (fma x x 1.0) x)) (log (/ (fma x x 1.0) x)) (log (/ (fma x x 1.0) x)) (exp (/ (fma x x 1.0) x)) (pow (/ (fma x x 1.0) x) 3) (* (cbrt (/ (fma x x 1.0) x)) (cbrt (/ (fma x x 1.0) x))) (cbrt (/ (fma x x 1.0) x)) (pow (/ (fma x x 1.0) x) 3) (sqrt (/ (fma x x 1.0) x)) (sqrt (/ (fma x x 1.0) x)) (- (fma x x 1.0)) (- x) (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (* (cbrt x) (cbrt x))) (/ (cbrt (fma x x 1.0)) (cbrt x)) (/ (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (sqrt x)) (/ (cbrt (fma x x 1.0)) (sqrt x)) (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0))) (/ (cbrt (fma x x 1.0)) x) (/ (sqrt (fma x x 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (fma x x 1.0)) (cbrt x)) (/ (sqrt (fma x x 1.0)) (sqrt x)) (/ (sqrt (fma x x 1.0)) (sqrt x)) (sqrt (fma x x 1.0)) (/ (sqrt (fma x x 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (fma x x 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (fma x x 1.0) (sqrt x)) 1 (/ (fma x x 1.0) x) (/ 1 x) (/ x (fma x x 1.0)) (/ (fma x x 1.0) (* (cbrt x) (cbrt x))) (/ (fma x x 1.0) (sqrt x)) (fma x x 1.0) (/ x (cbrt (fma x x 1.0))) (/ x (sqrt (fma x x 1.0))) (/ x (fma x x 1.0)) (expm1 (/ 1 (/ (fma x x 1.0) x))) (log1p (/ 1 (/ (fma x x 1.0) x))) (- 1) (log (/ 1 (/ (fma x x 1.0) x))) (log (/ 1 (/ (fma x x 1.0) x))) (log (/ 1 (/ (fma x x 1.0) x))) (log (/ 1 (/ (fma x x 1.0) x))) (log (/ 1 (/ (fma x x 1.0) x))) (log (/ 1 (/ (fma x x 1.0) x))) (log (/ 1 (/ (fma x x 1.0) x))) (exp (/ 1 (/ (fma x x 1.0) x))) (pow (/ x (fma x x 1.0)) 3) (pow (/ x (fma x x 1.0)) 3) (* (cbrt (/ 1 (/ (fma x x 1.0) x))) (cbrt (/ 1 (/ (fma x x 1.0) x)))) (cbrt (/ 1 (/ (fma x x 1.0) x))) (pow (/ x (fma x x 1.0)) 3) (sqrt (/ 1 (/ (fma x x 1.0) x))) (sqrt (/ 1 (/ (fma x x 1.0) x))) (- 1) (- (/ (fma x x 1.0) x)) (/ (/ 1 (cbrt (/ (fma x x 1.0) x))) (cbrt (/ (fma x x 1.0) x))) (/ 1 (cbrt (/ (fma x x 1.0) x))) (/ 1 (sqrt (/ (fma x x 1.0) x))) (/ 1 (sqrt (/ (fma x x 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0)))) (/ (cbrt x) (cbrt (fma x x 1.0))) (/ (sqrt x) (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0)))) (/ (sqrt x) (cbrt (fma x x 1.0))) (/ 1 (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0)))) (/ x (cbrt (fma x x 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (fma x x 1.0))) (/ (cbrt x) (sqrt (fma x x 1.0))) (/ (sqrt x) (sqrt (fma x x 1.0))) (/ (sqrt x) (sqrt (fma x x 1.0))) (/ 1 (sqrt (fma x x 1.0))) (/ x (sqrt (fma x x 1.0))) (* (cbrt x) (cbrt x)) (/ 1 (/ (fma x x 1.0) (cbrt x))) (sqrt x) (/ (sqrt x) (fma x x 1.0)) 1 (/ x (fma x x 1.0)) 1 (/ x (fma x x 1.0)) (/ 1 (fma x x 1.0)) x (/ (/ 1 (cbrt (/ (fma x x 1.0) x))) (cbrt (/ (fma x x 1.0) x))) (/ 1 (cbrt (/ (fma x x 1.0) x))) (/ 1 (sqrt (/ (fma x x 1.0) x))) (/ 1 (sqrt (/ (fma x x 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0)))) (/ (cbrt x) (cbrt (fma x x 1.0))) (/ (sqrt x) (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0)))) (/ (sqrt x) (cbrt (fma x x 1.0))) (/ 1 (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0)))) (/ x (cbrt (fma x x 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (fma x x 1.0))) (/ (cbrt x) (sqrt (fma x x 1.0))) (/ (sqrt x) (sqrt (fma x x 1.0))) (/ (sqrt x) (sqrt (fma x x 1.0))) (/ 1 (sqrt (fma x x 1.0))) (/ x (sqrt (fma x x 1.0))) (* (cbrt x) (cbrt x)) (/ 1 (/ (fma x x 1.0) (cbrt x))) (sqrt x) (/ (sqrt x) (fma x x 1.0)) 1 (/ x (fma x x 1.0)) 1 (/ x (fma x x 1.0)) (/ 1 (fma x x 1.0)) x (/ (/ 1 (cbrt (/ (fma x x 1.0) x))) (cbrt (/ (fma x x 1.0) x))) (/ 1 (cbrt (/ (fma x x 1.0) x))) (/ 1 (sqrt (/ (fma x x 1.0) x))) (/ 1 (sqrt (/ (fma x x 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0)))) (/ (cbrt x) (cbrt (fma x x 1.0))) (/ (sqrt x) (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0)))) (/ (sqrt x) (cbrt (fma x x 1.0))) (/ 1 (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0)))) (/ x (cbrt (fma x x 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (fma x x 1.0))) (/ (cbrt x) (sqrt (fma x x 1.0))) (/ (sqrt x) (sqrt (fma x x 1.0))) (/ (sqrt x) (sqrt (fma x x 1.0))) (/ 1 (sqrt (fma x x 1.0))) (/ x (sqrt (fma x x 1.0))) (* (cbrt x) (cbrt x)) (/ 1 (/ (fma x x 1.0) (cbrt x))) (sqrt x) (/ (sqrt x) (fma x x 1.0)) 1 (/ x (fma x x 1.0)) 1 (/ x (fma x x 1.0)) (/ 1 (fma x x 1.0)) x (/ x (fma x x 1.0)) (/ (fma x x 1.0) x) (/ (/ 1 (cbrt (/ (fma x x 1.0) x))) (cbrt (/ (fma x x 1.0) x))) (/ 1 (sqrt (/ (fma x x 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0)))) (/ (sqrt x) (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0)))) (/ 1 (* (cbrt (fma x x 1.0)) (cbrt (fma x x 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (fma x x 1.0))) (/ (sqrt x) (sqrt (fma x x 1.0))) (/ 1 (sqrt (fma x x 1.0))) (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (fma x x 1.0)) (/ (fma x x 1.0) x) (/ (fma x x 1.0) x) (/ (fma x x 1.0) x) (/ 1 (fma x x 1.0)) (fma 1.0 (/ 1 x) x) (fma 1.0 (/ 1 x) x) (fma 1.0 (/ 1 x) 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))))) 1.240 * * * [progress]: adding candidates to table 1.363 * * [progress]: iteration 4 / 4 1.363 * * * [progress]: picking best candidate 1.365 * * * * [pick]: Picked # 1.365 * * * [progress]: localizing error 1.370 * * * [progress]: generating rewritten candidates 1.370 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.374 * * * [progress]: generating series expansions 1.374 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.374 * [approximate]: Taking taylor expansion of (/ 1 (fma 1.0 (/ 1 x) x)) in (x) around 0 1.374 * [taylor]: Taking taylor expansion of (/ 1 (fma 1.0 (/ 1 x) x)) in x 1.374 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 x) x) in x 1.374 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 x)) x) 1.374 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 (fma 1.0 (/ 1 x) x)) in x 1.376 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 x) x) in x 1.376 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 x)) x) 1.376 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.376 * [taylor]: Taking taylor expansion of 1.0 in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.391 * [approximate]: Taking taylor expansion of (/ 1 (fma 1.0 x (/ 1 x))) in (x) around 0 1.391 * [taylor]: Taking taylor expansion of (/ 1 (fma 1.0 x (/ 1 x))) in x 1.391 * [taylor]: Taking taylor expansion of (fma 1.0 x (/ 1 x)) in x 1.391 * [taylor]: Rewrote expression to (+ (* 1.0 x) (/ 1 x)) 1.391 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.392 * [taylor]: Taking taylor expansion of (/ 1 (fma 1.0 x (/ 1 x))) in x 1.392 * [taylor]: Taking taylor expansion of (fma 1.0 x (/ 1 x)) in x 1.392 * [taylor]: Rewrote expression to (+ (* 1.0 x) (/ 1 x)) 1.392 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.392 * [taylor]: Taking taylor expansion of 1.0 in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.405 * [approximate]: Taking taylor expansion of (/ 1 (fma 1.0 (* -1 x) (/ -1 x))) in (x) around 0 1.405 * [taylor]: Taking taylor expansion of (/ 1 (fma 1.0 (* -1 x) (/ -1 x))) in x 1.405 * [taylor]: Taking taylor expansion of (fma 1.0 (* -1 x) (/ -1 x)) in x 1.405 * [taylor]: Rewrote expression to (+ (* 1.0 (* -1 x)) (/ -1 x)) 1.405 * [taylor]: Taking taylor expansion of (* 1.0 (* -1 x)) in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.405 * [taylor]: Taking taylor expansion of -1 in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.405 * [taylor]: Taking taylor expansion of -1 in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.406 * [taylor]: Taking taylor expansion of (/ 1 (fma 1.0 (* -1 x) (/ -1 x))) in x 1.406 * [taylor]: Taking taylor expansion of (fma 1.0 (* -1 x) (/ -1 x)) in x 1.406 * [taylor]: Rewrote expression to (+ (* 1.0 (* -1 x)) (/ -1 x)) 1.407 * [taylor]: Taking taylor expansion of (* 1.0 (* -1 x)) in x 1.407 * [taylor]: Taking taylor expansion of 1.0 in x 1.407 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.407 * [taylor]: Taking taylor expansion of -1 in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.407 * [taylor]: Taking taylor expansion of -1 in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.422 * * * [progress]: simplifying candidates 1.423 * [simplify]: Simplifying using # : (expm1 (/ 1 (fma 1.0 (/ 1 x) x))) (log1p (/ 1 (fma 1.0 (/ 1 x) x))) (- 1) (- (log (fma 1.0 (/ 1 x) x))) (- 0 (log (fma 1.0 (/ 1 x) x))) (- (log 1) (log (fma 1.0 (/ 1 x) x))) (log (/ 1 (fma 1.0 (/ 1 x) x))) (exp (/ 1 (fma 1.0 (/ 1 x) x))) (/ (* (* 1 1) 1) (* (* (fma 1.0 (/ 1 x) x) (fma 1.0 (/ 1 x) x)) (fma 1.0 (/ 1 x) x))) (* (cbrt (/ 1 (fma 1.0 (/ 1 x) x))) (cbrt (/ 1 (fma 1.0 (/ 1 x) x)))) (cbrt (/ 1 (fma 1.0 (/ 1 x) x))) (* (* (/ 1 (fma 1.0 (/ 1 x) x)) (/ 1 (fma 1.0 (/ 1 x) x))) (/ 1 (fma 1.0 (/ 1 x) x))) (sqrt (/ 1 (fma 1.0 (/ 1 x) x))) (sqrt (/ 1 (fma 1.0 (/ 1 x) x))) (- 1) (- (fma 1.0 (/ 1 x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (fma 1.0 (/ 1 x) x)) (cbrt (fma 1.0 (/ 1 x) x)))) (/ (cbrt 1) (cbrt (fma 1.0 (/ 1 x) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (fma 1.0 (/ 1 x) x))) (/ (cbrt 1) (sqrt (fma 1.0 (/ 1 x) x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (fma 1.0 (/ 1 x) x)) (/ (sqrt 1) (* (cbrt (fma 1.0 (/ 1 x) x)) (cbrt (fma 1.0 (/ 1 x) x)))) (/ (sqrt 1) (cbrt (fma 1.0 (/ 1 x) x))) (/ (sqrt 1) (sqrt (fma 1.0 (/ 1 x) x))) (/ (sqrt 1) (sqrt (fma 1.0 (/ 1 x) x))) (/ (sqrt 1) 1) (/ (sqrt 1) (fma 1.0 (/ 1 x) x)) (/ 1 (* (cbrt (fma 1.0 (/ 1 x) x)) (cbrt (fma 1.0 (/ 1 x) x)))) (/ 1 (cbrt (fma 1.0 (/ 1 x) x))) (/ 1 (sqrt (fma 1.0 (/ 1 x) x))) (/ 1 (sqrt (fma 1.0 (/ 1 x) x))) (/ 1 1) (/ 1 (fma 1.0 (/ 1 x) x)) (/ 1 (fma 1.0 (/ 1 x) x)) (/ (fma 1.0 (/ 1 x) x) 1) (/ 1 (* (cbrt (fma 1.0 (/ 1 x) x)) (cbrt (fma 1.0 (/ 1 x) x)))) (/ 1 (sqrt (fma 1.0 (/ 1 x) x))) (/ 1 1) (/ (fma 1.0 (/ 1 x) x) (cbrt 1)) (/ (fma 1.0 (/ 1 x) x) (sqrt 1)) (/ (fma 1.0 (/ 1 x) x) 1) (- (+ (* 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)))) 1.427 * * [simplify]: iteration 0 : 130 enodes (cost 213 ) 1.430 * * [simplify]: iteration 1 : 400 enodes (cost 189 ) 1.438 * * [simplify]: iteration 2 : 1294 enodes (cost 175 ) 1.465 * * [simplify]: iteration 3 : 5002 enodes (cost 173 ) 1.467 * [simplify]: Simplified to: (expm1 (/ 1 (fma 1.0 (/ 1 x) x))) (log1p (/ 1 (fma 1.0 (/ 1 x) x))) (- 1) (log (/ 1 (fma 1.0 (/ 1 x) x))) (log (/ 1 (fma 1.0 (/ 1 x) x))) (log (/ 1 (fma 1.0 (/ 1 x) x))) (log (/ 1 (fma 1.0 (/ 1 x) x))) (exp (/ 1 (fma 1.0 (/ 1 x) x))) (/ 1 (pow (fma 1.0 (/ 1 x) x) 3)) (* (cbrt (/ 1 (fma 1.0 (/ 1 x) x))) (cbrt (/ 1 (fma 1.0 (/ 1 x) x)))) (cbrt (/ 1 (fma 1.0 (/ 1 x) x))) (/ 1 (pow (fma 1.0 (/ 1 x) x) 3)) (sqrt (/ 1 (fma 1.0 (/ 1 x) x))) (sqrt (/ 1 (fma 1.0 (/ 1 x) x))) (- 1) (- (fma 1.0 (/ 1 x) x)) (/ 1 (* (cbrt (fma 1.0 (/ 1 x) x)) (cbrt (fma 1.0 (/ 1 x) x)))) (/ 1 (cbrt (fma 1.0 (/ 1 x) x))) (/ 1 (sqrt (fma 1.0 (/ 1 x) x))) (/ 1 (sqrt (fma 1.0 (/ 1 x) x))) 1 (/ 1 (fma 1.0 (/ 1 x) x)) (/ 1 (* (cbrt (fma 1.0 (/ 1 x) x)) (cbrt (fma 1.0 (/ 1 x) x)))) (/ 1 (cbrt (fma 1.0 (/ 1 x) x))) (/ 1 (sqrt (fma 1.0 (/ 1 x) x))) (/ 1 (sqrt (fma 1.0 (/ 1 x) x))) 1 (/ 1 (fma 1.0 (/ 1 x) x)) (/ 1 (* (cbrt (fma 1.0 (/ 1 x) x)) (cbrt (fma 1.0 (/ 1 x) x)))) (/ 1 (cbrt (fma 1.0 (/ 1 x) x))) (/ 1 (sqrt (fma 1.0 (/ 1 x) x))) (/ 1 (sqrt (fma 1.0 (/ 1 x) x))) 1 (/ 1 (fma 1.0 (/ 1 x) x)) (/ 1 (fma 1.0 (/ 1 x) x)) (fma 1.0 (/ 1 x) x) (/ 1 (* (cbrt (fma 1.0 (/ 1 x) x)) (cbrt (fma 1.0 (/ 1 x) x)))) (/ 1 (sqrt (fma 1.0 (/ 1 x) x))) 1 (fma 1.0 (/ 1 x) x) (fma 1.0 (/ 1 x) x) (fma 1.0 (/ 1 x) x) (* 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)) 1.467 * * * [progress]: adding candidates to table 1.508 * [progress]: [Phase 3 of 3] Extracting. 1.508 * * [regime]: Finding splitpoints for: (# #) 1.508 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.508 * * * * [regimes]: Trying to branch on x from (# #) 1.518 * * * [regime]: Found split indices: #