7.557 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [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 ) 0.149 * [simplify]: Simplified to: (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) 0.153 * * [progress]: iteration 1 / 4 0.153 * * * [progress]: picking best candidate 0.155 * * * * [pick]: Picked # 0.155 * * * [progress]: localizing error 0.163 * * * [progress]: generating rewritten candidates 0.163 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1) 0.168 * * * [progress]: generating series expansions 0.168 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1) 0.168 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.168 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.169 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in (x) around 0 0.170 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.170 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.170 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * * * [progress]: simplifying candidates 0.172 * [simplify]: Simplifying using # : (* (exp 1.0) (exp (sqrt (- 1.0 (* x x))))) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (exp (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (* (+ 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x)))))) (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))) (- 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x)))) (- (+ (sqrt 1.0) 1.0) (+ (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (* x (sqrt (neg 1))) (+ (* 0.5 (/ 1 (* x (sqrt (neg 1))))) 1.0)) (- 1.0 (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) 0.217 * * [simplify]: iteration 0 : 5259 enodes (cost 183 ) 0.218 * [simplify]: Simplified to: (exp (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (exp (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow (+ 1.0 (sqrt (- 1.0 (* x x)))) 3) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (+ (- 1.0 (* x x)) (* 1.0 (- 1.0 (sqrt (- 1.0 (* x x)))))) (+ (* x x) (- (* 1.0 1.0) 1.0)) (- 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (+ (sqrt 1.0) (* (* (/ x (sqrt 1.0)) x) (- -1/2 (* 1/8 (/ x (/ 1.0 x))))))) (+ 1.0 (+ (* x (sqrt -1)) (/ 0.5 (* x (sqrt -1))))) (- 1.0 (+ (* x (sqrt -1)) (/ 0.5 (* x (sqrt -1))))) 0.218 * * * [progress]: adding candidates to table 0.246 * [progress]: [Phase 3 of 3] Extracting. 0.249 * [simplify]: Simplifying using # : (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) 0.250 * * [simplify]: iteration 0 : 27 enodes (cost 11 ) 0.250 * * [simplify]: iteration 1 : 27 enodes (cost 11 ) 0.250 * [simplify]: Simplified to: (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) 0.949 * [regime-testing]: End program error score: 0.051006375796974625