16.754 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (* x (- x 1.0)) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.016 * * [simplify]: iteration 1 : 13 enodes (cost 2 ) 0.017 * * [simplify]: iteration 2 : 19 enodes (cost 2 ) 0.018 * * [simplify]: iteration 3 : 24 enodes (cost 2 ) 0.019 * * [simplify]: iteration 4 : 24 enodes (cost 2 ) 0.020 * [simplify]: Simplified to: (* x (- x 1.0)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (* (- x 1.0) x) in (x) around 0 0.030 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.030 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of 1.0 in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.031 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of 1.0 in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.043 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in (x) around 0 0.043 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.043 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.059 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.059 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.060 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.070 * * * [progress]: simplifying candidates 0.071 * [simplify]: Simplifying using # : (* x (- x 1.0)) (+ (log x) (log (- x 1.0))) (log (* x (- x 1.0))) (exp (* x (- x 1.0))) (* (* (* x x) x) (* (* (- x 1.0) (- x 1.0)) (- x 1.0))) (* (cbrt (* x (- x 1.0))) (cbrt (* x (- x 1.0)))) (cbrt (* x (- x 1.0))) (* (* (* x (- x 1.0)) (* x (- x 1.0))) (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* x x) (* x (neg 1.0)) (* x x) (* x (neg 1.0)) (* x x) (* (neg 1.0) x) (* x x) (* (neg 1.0) x) (* x (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* x (sqrt (- x 1.0))) (* x 1) (* x (+ (sqrt x) (sqrt 1.0))) (* x 1) (* (cbrt x) (- x 1.0)) (* (sqrt x) (- x 1.0)) (* x (- x 1.0)) (* x (- (pow x 3) (pow 1.0 3))) (* x (- (* x x) (* 1.0 1.0))) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) 0.074 * * [simplify]: iteration 0 : 111 enodes (cost 100 ) 0.077 * * [simplify]: iteration 1 : 460 enodes (cost 88 ) 0.087 * * [simplify]: iteration 2 : 2261 enodes (cost 88 ) 0.133 * * [simplify]: iteration 3 : 5002 enodes (cost 88 ) 0.134 * [simplify]: Simplified to: (* x (- x 1.0)) (log (* x (- x 1.0))) (log (* x (- x 1.0))) (exp (* x (- x 1.0))) (pow (* x (- x 1.0)) 3) (* (cbrt (* x (- x 1.0))) (cbrt (* x (- x 1.0)))) (cbrt (* x (- x 1.0))) (pow (* x (- x 1.0)) 3) (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (* (sqrt (- x 1.0)) (pow x 1/2)) (* (sqrt (- x 1.0)) (pow x 1/2)) (pow x 2) (* x (neg 1.0)) (pow x 2) (* x (neg 1.0)) (pow x 2) (* x (neg 1.0)) (pow x 2) (* x (neg 1.0)) (* x (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* x (sqrt (- x 1.0))) x (* x (+ (sqrt x) (sqrt 1.0))) x (* (cbrt x) (- x 1.0)) (* (sqrt x) (- x 1.0)) (* x (- x 1.0)) (* x (- (pow x 3) (pow 1.0 3))) (* x (- (* x x) (* 1.0 1.0))) (* x (- x 1.0)) (* x (- x 1.0)) (* x (- x 1.0)) 0.134 * * * [progress]: adding candidates to table 0.163 * * [progress]: iteration 2 / 4 0.163 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.171 * * * [progress]: generating rewritten candidates 0.171 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.176 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.183 * * * [progress]: generating series expansions 0.183 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.183 * [approximate]: Taking taylor expansion of (* (- x 1.0) x) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.183 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.183 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.197 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in (x) around 0 0.197 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.197 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.198 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.215 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 0.215 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.215 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.216 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.226 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.226 * [approximate]: Taking taylor expansion of (* (- x 1.0) x) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.226 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.226 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.238 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.239 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.254 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 0.254 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.254 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.254 * [taylor]: Taking taylor expansion of 1.0 in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.255 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.265 * * * [progress]: simplifying candidates 0.266 * [simplify]: Simplifying using # : (exp 1) (exp 1) (exp (* (cbrt (log (* x (- x 1.0)))) (cbrt (log (* x (- x 1.0)))))) (exp (sqrt (log (* x (- x 1.0))))) (exp 1) (exp (log x)) (exp (log (- x 1.0))) (exp (log (* x (- (pow x 3) (pow 1.0 3))))) (exp (log (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))) (exp (log (* x (- (* x x) (* 1.0 1.0))))) (exp (log (+ x 1.0))) (log (exp (log (* x (- x 1.0))))) (exp (exp (log (* x (- x 1.0))))) (* (cbrt (exp (log (* x (- x 1.0))))) (cbrt (exp (log (* x (- x 1.0)))))) (cbrt (exp (log (* x (- x 1.0))))) (* (* (exp (log (* x (- x 1.0)))) (exp (log (* x (- x 1.0))))) (exp (log (* x (- x 1.0))))) (sqrt (exp (log (* x (- x 1.0))))) (sqrt (exp (log (* x (- x 1.0))))) (* x (- x 1.0)) (+ (log x) (log (- x 1.0))) (log (* x (- x 1.0))) (exp (* x (- x 1.0))) (* (* (* x x) x) (* (* (- x 1.0) (- x 1.0)) (- x 1.0))) (* (cbrt (* x (- x 1.0))) (cbrt (* x (- x 1.0)))) (cbrt (* x (- x 1.0))) (* (* (* x (- x 1.0)) (* x (- x 1.0))) (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* x x) (* x (neg 1.0)) (* x x) (* x (neg 1.0)) (* x x) (* (neg 1.0) x) (* x x) (* (neg 1.0) x) (* x (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* x (sqrt (- x 1.0))) (* x 1) (* x (+ (sqrt x) (sqrt 1.0))) (* x 1) (* (cbrt x) (- x 1.0)) (* (sqrt x) (- x 1.0)) (* x (- x 1.0)) (* x (- (pow x 3) (pow 1.0 3))) (* x (- (* x x) (* 1.0 1.0))) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) 0.269 * * [simplify]: iteration 0 : 153 enodes (cost 168 ) 0.272 * * [simplify]: iteration 1 : 573 enodes (cost 148 ) 0.284 * * [simplify]: iteration 2 : 2714 enodes (cost 148 ) 0.332 * * [simplify]: iteration 3 : 5001 enodes (cost 148 ) 0.334 * [simplify]: Simplified to: E E (exp (* (cbrt (log (* x (- x 1.0)))) (cbrt (log (* x (- x 1.0)))))) (exp (sqrt (log (* x (- x 1.0))))) E x (- x 1.0) (* x (- (pow x 3) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 x)) (pow x 2)) (* x (- (* x x) (* 1.0 1.0))) (+ x 1.0) (log (* x (- x 1.0))) (exp (* x (- x 1.0))) (* (cbrt (* x (- x 1.0))) (cbrt (* x (- x 1.0)))) (cbrt (* x (- x 1.0))) (pow (* x (- x 1.0)) 3) (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (* x (- x 1.0)) (log (* x (- x 1.0))) (log (* x (- x 1.0))) (exp (* x (- x 1.0))) (pow (* x (- x 1.0)) 3) (* (cbrt (* x (- x 1.0))) (cbrt (* x (- x 1.0)))) (cbrt (* x (- x 1.0))) (pow (* x (- x 1.0)) 3) (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (* (sqrt (- x 1.0)) (pow x 1/2)) (* (sqrt (- x 1.0)) (pow x 1/2)) (pow x 2) (* x (neg 1.0)) (pow x 2) (* x (neg 1.0)) (pow x 2) (* x (neg 1.0)) (pow x 2) (* x (neg 1.0)) (* x (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* x (sqrt (- x 1.0))) x (* x (+ (sqrt x) (sqrt 1.0))) x (* (cbrt x) (- x 1.0)) (* (sqrt x) (- x 1.0)) (* x (- x 1.0)) (* x (- (pow x 3) (pow 1.0 3))) (* x (- (* x x) (* 1.0 1.0))) (* x (- x 1.0)) (* x (- x 1.0)) (* x (- x 1.0)) (* x (- x 1.0)) (* x (- x 1.0)) (* x (- x 1.0)) 0.334 * * * [progress]: adding candidates to table 0.390 * [progress]: [Phase 3 of 3] Extracting. 0.390 * * [regime]: Finding splitpoints for: (# #) 0.391 * * * [regime-changes]: Trying 2 branch expressions: ((* x (- x 1.0)) x) 0.391 * * * * [regimes]: Trying to branch on (* x (- x 1.0)) from (# #) 0.401 * * * * [regimes]: Trying to branch on x from (# #) 0.414 * * * [regime]: Found split indices: #