27.111 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.149 * * [simplify]: iteration 0 : 4892 enodes (cost 11 ) 0.149 * * [simplify]: iteration 1 : 4892 enodes (cost 11 ) 0.150 * [simplify]: Simplified to: (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) 0.157 * * [progress]: iteration 1 / 4 0.157 * * * [progress]: picking best candidate 0.160 * * * * [pick]: Picked # 0.160 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1 2) 0.172 * * * [progress]: generating series expansions 0.172 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1 2) 0.172 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.172 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.172 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.172 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.173 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.173 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.175 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.175 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.176 * * * [progress]: simplifying candidates 0.177 * [simplify]: Simplifying using # : (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))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) 0.226 * * [simplify]: iteration 0 : 4949 enodes (cost 197 ) 0.226 * * [simplify]: iteration 1 : 4949 enodes (cost 197 ) 0.228 * [simplify]: Simplified to: (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 (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (+ (pow x 4) (* 1.0 (+ 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (+ (sqrt 1.0) (* (* (/ x (sqrt 1.0)) x) (- -1/2 (* 1/8 (/ x (/ 1.0 x)))))) (+ (* x (sqrt -1)) (+ (/ 0.5 (* x (sqrt -1))) (/ 0.125 (* (sqrt -1) (pow x 3))))) (- (* (/ 1 (sqrt -1)) (- (/ 0.125 (neg (pow x 3))) (/ 0.5 x))) (* x (sqrt -1))) 0.228 * * * [progress]: adding candidates to table 0.261 * [progress]: [Phase 3 of 3] Extracting. 0.264 * [simplify]: Simplifying using # : (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) 0.265 * * [simplify]: iteration 0 : 27 enodes (cost 11 ) 0.265 * * [simplify]: iteration 1 : 27 enodes (cost 11 ) 0.265 * [simplify]: Simplified to: (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) 0.980 * [regime-testing]: End program error score: 0.03516507091122169