13.733 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.024 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.026 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.035 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.035 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [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 0.036 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.037 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.038 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.038 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * * * [progress]: simplifying candidates 0.040 * [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))))))) 0.043 * * [simplify]: iteration 0 : 157 enodes (cost 124 ) 0.046 * * [simplify]: iteration 1 : 536 enodes (cost 122 ) 0.057 * * [simplify]: iteration 2 : 2654 enodes (cost 120 ) 0.119 * * [simplify]: iteration 3 : 5001 enodes (cost 119 ) 0.120 * [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 (+ (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))))) (+ (+ (/ (neg 0.125) (* (pow x 3) (pow (sqrt -1) 3))) (/ (/ 0.5 (sqrt -1)) x)) (* x (sqrt -1))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (* x (sqrt -1)) (/ (neg 0.5) (* x (sqrt -1))))) 0.120 * * * [progress]: adding candidates to table 0.151 * * [progress]: iteration 2 / 4 0.151 * * * [progress]: picking best candidate 0.153 * * * * [pick]: Picked # 0.153 * * * [progress]: localizing error 0.161 * * * [progress]: generating rewritten candidates 0.161 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1) 0.164 * * * [progress]: generating series expansions 0.164 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1) 0.164 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.164 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.167 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.167 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.169 * * * [progress]: simplifying candidates 0.169 * [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))))))) 0.172 * * [simplify]: iteration 0 : 157 enodes (cost 124 ) 0.175 * * [simplify]: iteration 1 : 536 enodes (cost 122 ) 0.186 * * [simplify]: iteration 2 : 2654 enodes (cost 120 ) 0.246 * * [simplify]: iteration 3 : 5001 enodes (cost 119 ) 0.247 * [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 (+ (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))))) (+ (+ (/ (neg 0.125) (* (pow x 3) (pow (sqrt -1) 3))) (/ (/ 0.5 (sqrt -1)) x)) (* x (sqrt -1))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (* x (sqrt -1)) (/ (neg 0.5) (* x (sqrt -1))))) 0.247 * * * [progress]: adding candidates to table 0.281 * [progress]: [Phase 3 of 3] Extracting. 0.285 * [simplify]: Simplifying using # : (log (exp (sqrt (- 1.0 (* x x))))) 0.286 * * [simplify]: iteration 0 : 7 enodes (cost 5 ) 0.286 * [simplify]: Simplified to: (log (exp (sqrt (- 1.0 (* x x))))) 1.072 * [regime-testing]: End program error score: 0.01261717871028951