18.470 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.018 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.018 * * [simplify]: iteration 1 : 7 enodes (cost 6 ) 0.019 * * [simplify]: iteration 2 : 11 enodes (cost 6 ) 0.020 * * [simplify]: iteration 3 : 13 enodes (cost 6 ) 0.022 * * [simplify]: iteration done : 13 enodes (cost 6 ) 0.022 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.034 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.034 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.036 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.051 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.054 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.072 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.093 * * * [progress]: simplifying candidates 0.094 * [simplify]: Simplifying using # : (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.096 * * [simplify]: iteration 0 : 69 enodes (cost 260 ) 0.112 * * [simplify]: iteration 1 : 163 enodes (cost 230 ) 0.148 * * [simplify]: iteration 2 : 487 enodes (cost 214 ) 0.341 * * [simplify]: iteration 3 : 1935 enodes (cost 211 ) 0.847 * * [simplify]: iteration done : 5001 enodes (cost 211 ) 0.848 * [simplify]: Simplified to: (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (+ (* (fma x x 1.0) 1.0) (pow x 4))) (sqrt (fma 1.0 1.0 (- (pow x 4)))) (sqrt (fma x x 1.0)) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (fma (sqrt -1) x (/ 0.5 (* x (sqrt -1)))) (/ 0.125 (- (* (pow x 3) (sqrt -1))))) (- (/ 0.125 (- (* (pow x 3) (sqrt -1)))) (fma (sqrt -1) x (/ 0.5 (* x (sqrt -1))))) 0.848 * * * [progress]: adding candidates to table 0.899 * * [progress]: iteration 2 / 4 0.899 * * * [progress]: picking best candidate 0.902 * * * * [pick]: Picked # 0.902 * * * [progress]: localizing error 0.916 * * * [progress]: generating rewritten candidates 0.916 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.916 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 3) 0.943 * * * [progress]: generating series expansions 0.943 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.945 * [approximate]: Taking taylor expansion of (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in (x) around 0 0.945 * [taylor]: Taking taylor expansion of (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in x 0.945 * [taylor]: Rewrote expression to (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) 0.945 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 0.945 * [taylor]: Taking taylor expansion of 1/8 in x 0.945 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 0.945 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.945 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.950 * [taylor]: Taking taylor expansion of 1/2 in x 0.950 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in x 0.952 * [taylor]: Rewrote expression to (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) 0.952 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 0.952 * [taylor]: Taking taylor expansion of 1/8 in x 0.952 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 0.952 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.952 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.957 * [taylor]: Taking taylor expansion of 1/2 in x 0.957 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.957 * [taylor]: Taking taylor expansion of 1.0 in x 1.030 * [approximate]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) (/ 1/2 (* (pow x 2) (sqrt 1.0)))) in (x) around 0 1.030 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) (/ 1/2 (* (pow x 2) (sqrt 1.0)))) in x 1.030 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) (/ 1/2 (* (pow x 2) (sqrt 1.0)))) 1.030 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.030 * [taylor]: Taking taylor expansion of 1/8 in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.030 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.030 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.031 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.036 * [taylor]: Taking taylor expansion of 1/2 in x 1.036 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.038 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) (/ 1/2 (* (pow x 2) (sqrt 1.0)))) in x 1.038 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) (/ 1/2 (* (pow x 2) (sqrt 1.0)))) 1.038 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.038 * [taylor]: Taking taylor expansion of 1/8 in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.038 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.038 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.038 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.038 * [taylor]: Taking taylor expansion of 1.0 in x 1.043 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.044 * [taylor]: Taking taylor expansion of 1/2 in x 1.044 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.044 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [approximate]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) (/ 1/2 (* (pow x 2) (sqrt 1.0)))) in (x) around 0 1.132 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) (/ 1/2 (* (pow x 2) (sqrt 1.0)))) in x 1.133 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) (/ 1/2 (* (pow x 2) (sqrt 1.0)))) 1.133 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.133 * [taylor]: Taking taylor expansion of 1/8 in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.133 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.133 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.133 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.138 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.138 * [taylor]: Taking taylor expansion of 1/2 in x 1.138 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.139 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) (/ 1/2 (* (pow x 2) (sqrt 1.0)))) in x 1.141 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) (/ 1/2 (* (pow x 2) (sqrt 1.0)))) 1.141 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.141 * [taylor]: Taking taylor expansion of 1/8 in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.141 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.141 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.141 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.146 * [taylor]: Taking taylor expansion of 1/2 in x 1.146 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.146 * [taylor]: Taking taylor expansion of 1.0 in x 1.235 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 3) 1.236 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in (x) around 0 1.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 1.236 * [taylor]: Taking taylor expansion of 1/2 in x 1.236 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 1.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.236 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.236 * [taylor]: Taking taylor expansion of 1.0 in x 1.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 1.237 * [taylor]: Taking taylor expansion of 1/2 in x 1.237 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 1.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.238 * [taylor]: Taking taylor expansion of 1.0 in x 1.266 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 1.266 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.266 * [taylor]: Taking taylor expansion of 1/2 in x 1.266 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.266 * [taylor]: Taking taylor expansion of x in x 1.266 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.266 * [taylor]: Taking taylor expansion of 1.0 in x 1.268 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.268 * [taylor]: Taking taylor expansion of 1/2 in x 1.268 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.268 * [taylor]: Taking taylor expansion of 1.0 in x 1.288 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 1.288 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.288 * [taylor]: Taking taylor expansion of 1/2 in x 1.288 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.288 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.290 * [taylor]: Taking taylor expansion of 1/2 in x 1.290 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.290 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * * * [progress]: simplifying candidates 1.311 * [simplify]: Simplifying using # : (expm1 (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (log1p (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (log (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (exp (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (cbrt (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))) (cbrt (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (* (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (expm1 (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log1p (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (+ (log 1/2) (- (* (log x) 2) (log (sqrt 1.0)))) (+ (log 1/2) (- (* (log x) 2) (log (sqrt 1.0)))) (+ (log 1/2) (- (log (pow x 2)) (log (sqrt 1.0)))) (+ (log 1/2) (log (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow x 2) (sqrt 1.0)) (/ (pow x 2) (sqrt 1.0))) (/ (pow x 2) (sqrt 1.0)))) (* (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (* (cbrt (/ (pow x 2) (sqrt 1.0))) (cbrt (/ (pow x 2) (sqrt 1.0))))) (* 1/2 (sqrt (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt 1))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1)) (* 1/2 (/ (pow (sqrt x) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt 1))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (sqrt x) 2) 1)) (* 1/2 (/ (pow 1 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow 1 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow 1 2) (sqrt 1))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ x (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ x (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 (/ x (sqrt 1))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 (/ x 1)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt 1))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1)) (* 1/2 (/ (sqrt (pow x 2)) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt 1))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (sqrt (pow x 2)) 1)) (* 1/2 (/ 1 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ 1 (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ 1 (sqrt (sqrt 1.0)))) (* 1/2 (/ 1 (sqrt 1))) (* 1/2 (/ 1 (sqrt (sqrt 1.0)))) (* 1/2 (/ 1 1)) (* 1/2 (/ (pow x (/ 2 2)) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt 1))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow x (/ 2 2)) 1)) (* 1/2 1) (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* (sqrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (pow x 2)) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) 1.315 * * [simplify]: iteration 0 : 172 enodes (cost 1307 ) 1.383 * * [simplify]: iteration 1 : 394 enodes (cost 1157 ) 1.466 * * [simplify]: iteration 2 : 1019 enodes (cost 1043 ) 2.249 * * [simplify]: iteration 3 : 4353 enodes (cost 1040 ) 3.167 * * [simplify]: iteration done : 5000 enodes (cost 1040 ) 3.167 * [simplify]: Simplified to: (expm1 (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (log1p (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (log (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (exp (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (cbrt (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))) (cbrt (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (pow (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) 3) (sqrt (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (expm1 (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log1p (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (exp (/ (pow x 2) (sqrt 1.0)))) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3) (* (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (fabs x) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (fabs x) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (fabs x) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (fabs x) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x 1) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x 1) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x 1) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x 1) (sqrt (sqrt 1.0)))) (* 1/2 (* (cbrt (/ (pow x 2) (sqrt 1.0))) (cbrt (/ (pow x 2) (sqrt 1.0))))) (* 1/2 (sqrt (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (/ (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (fabs (cbrt 1.0))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (* 1/2 (/ x (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (/ (* 1/2 x) (fabs (cbrt 1.0))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 x) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 x) (/ 1/2 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ 1/2 (fabs (cbrt 1.0))) (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (* 1/2 (/ x (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (/ (* 1/2 x) (fabs (cbrt 1.0))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 x) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 x) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (/ (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (fabs (cbrt 1.0))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (* (/ 1/2 (cbrt (sqrt 1.0))) (/ (fabs x) (cbrt (sqrt 1.0)))) (/ 1/2 (/ (fabs (cbrt 1.0)) (fabs x))) (* (/ (fabs x) (sqrt (sqrt 1.0))) 1/2) (* 1/2 (fabs x)) (* (/ (fabs x) (sqrt (sqrt 1.0))) 1/2) (* 1/2 (fabs x)) (/ 1/2 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ 1/2 (fabs (cbrt 1.0))) (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (* 1/2 (/ (pow x 1) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow x 1) (fabs (cbrt 1.0)))) (* (/ (pow x 1) (sqrt (sqrt 1.0))) 1/2) (* (pow x 1) 1/2) (* (/ (pow x 1) (sqrt (sqrt 1.0))) 1/2) (* (pow x 1) 1/2) 1/2 (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* (sqrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (pow x 2)) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3.168 * * * [progress]: adding candidates to table 3.434 * [progress]: [Phase 3 of 3] Extracting. 3.435 * * [regime]: Finding splitpoints for: (# #) 3.435 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 3.435 * * * * [regimes]: Trying to branch on (* x x) from (# #) 3.448 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 3.457 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 3.468 * * * * [regimes]: Trying to branch on x from (# #) 3.479 * * * [regime]: Found split indices: #