6.332 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.051 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.053 * * [simplify]: iteration 0 : 11 enodes (cost 5 ) 0.054 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.055 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.055 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.071 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.072 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.074 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.096 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.110 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.113 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.125 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.125 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.125 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.125 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.128 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.128 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.138 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.138 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.138 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.158 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.158 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.158 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.160 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.192 * * * [progress]: simplifying candidates 0.193 * [simplify]: Simplifying using # : (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)) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 0.196 * * [simplify]: iteration 0 : 180 enodes (cost 103 ) 0.200 * * [simplify]: iteration 1 : 587 enodes (cost 96 ) 0.209 * * [simplify]: iteration 2 : 2295 enodes (cost 91 ) 0.252 * * [simplify]: iteration 3 : 5002 enodes (cost 90 ) 0.253 * [simplify]: Simplified to: (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)) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (fma x (- x (sqrt (- (* x x) 1.0))) (- (* x x) 1.0)) (+ 1.0 0) (- x (sqrt (- (* 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))))) (- x (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 x) (- (* 0.125 (/ 1 (pow x 3))) x)) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (fma 2 x (- (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3)))))) (fma 0.125 (/ 1 (pow x 3)) (fma 0.0625 (/ 1 (pow x 5)) (* 0.5 (/ 1 x)))) 0.253 * * * [progress]: adding candidates to table 0.287 * * [progress]: iteration 2 / 4 0.287 * * * [progress]: picking best candidate 0.290 * * * * [pick]: Picked # 0.290 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2 2 3 2) 0.309 * * * [progress]: generating series expansions 0.309 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2 2 3 2) 0.309 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.310 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.320 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 0.320 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.328 * [approximate]: Taking taylor expansion of (* -1 (pow x 3)) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 0.328 * [taylor]: Taking taylor expansion of -1 in x 0.328 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 0.328 * [taylor]: Taking taylor expansion of -1 in x 0.328 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.339 * * * [progress]: simplifying candidates 0.339 * [simplify]: Simplifying using # : (- 3) (- (* (log x) 3)) (- 1) (- (pow x 3)) (/ 1 (pow x 3)) (/ (pow x 3) 1) (/ 1 (* x x)) (/ 1 (pow x (/ 3 2))) (/ 1 (pow x 3)) (/ 1 (pow x 3)) (/ 1 (pow x 3)) 0.342 * * [simplify]: iteration 0 : 31 enodes (cost 20 ) 0.343 * * [simplify]: iteration 1 : 64 enodes (cost 20 ) 0.345 * * [simplify]: iteration 2 : 221 enodes (cost 20 ) 0.350 * * [simplify]: iteration 3 : 1068 enodes (cost 20 ) 0.376 * * [simplify]: iteration 4 : 5001 enodes (cost 20 ) 0.376 * [simplify]: Simplified to: (- 3) (- (* (log x) 3)) (- 1) (- (pow x 3)) (/ 1 (pow x 3)) (pow x 3) (/ 1 (* x x)) (/ 1 (pow x 3/2)) (/ 1 (pow x 3)) (/ 1 (pow x 3)) (/ 1 (pow x 3)) 0.376 * * * [progress]: adding candidates to table 0.401 * [progress]: [Phase 3 of 3] Extracting. 0.401 * * [regime]: Finding splitpoints for: (# #) 0.402 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (sqrt (- (* x x) 1.0))) (log (+ x (sqrt (- (* x x) 1.0)))) x) 0.402 * * * * [regimes]: Trying to branch on (+ x (sqrt (- (* x x) 1.0))) from (# #) 0.414 * * * * [regimes]: Trying to branch on (log (+ x (sqrt (- (* x x) 1.0)))) from (# #) 0.429 * * * * [regimes]: Trying to branch on x from (# #) 0.442 * * * [regime]: Found split indices: #