11.762 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (- (* x x) 1.0) 0.015 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.016 * * [simplify]: iteration 1 : 7 enodes (cost 2 ) 0.017 * * [simplify]: iteration 2 : 7 enodes (cost 2 ) 0.017 * [simplify]: Simplified to: (- (* x x) 1.0) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.025 * * * [progress]: generating series expansions 0.025 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.025 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of 1.0 in x 0.025 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of 1.0 in x 0.026 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.026 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of 1.0 in x 0.026 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of 1.0 in x 0.028 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.028 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of 1.0 in x 0.028 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of 1.0 in x 0.029 * * * [progress]: simplifying candidates 0.029 * [simplify]: Simplifying using # : (/ (exp (* x x)) (exp 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)) (* (* (- (* x x) 1.0) (- (* x x) 1.0)) (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (- (pow (* x x) 3) (pow 1.0 3)) (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0))) (neg 1.0) (- (* (* x x) (* x x)) (* 1.0 1.0)) (+ (* x x) 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (neg 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.032 * * [simplify]: iteration 0 : 73 enodes (cost 63 ) 0.033 * * [simplify]: iteration 1 : 216 enodes (cost 56 ) 0.037 * * [simplify]: iteration 2 : 535 enodes (cost 56 ) 0.047 * * [simplify]: iteration 3 : 1794 enodes (cost 56 ) 0.085 * * [simplify]: iteration 4 : 5001 enodes (cost 56 ) 0.086 * [simplify]: Simplified to: (exp (- (* x 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 (- (pow x 2) 1.0) 3) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (- (pow (* x x) 3) (pow 1.0 3)) (+ (+ (pow x 4) (* (* x x) 1.0)) (* 1.0 1.0)) (- 0 1.0) (+ (neg (* 1.0 1.0)) (pow x 4)) (+ (* x x) 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (- 0 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.086 * * * [progress]: adding candidates to table 0.112 * * [progress]: iteration 2 / 4 0.112 * * * [progress]: picking best candidate 0.114 * * * * [pick]: Picked # 0.114 * * * [progress]: localizing error 0.119 * * * [progress]: generating rewritten candidates 0.119 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.129 * * * [progress]: generating series expansions 0.129 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.130 * [approximate]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.130 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.130 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 0.132 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.136 * [approximate]: Taking taylor expansion of (* -1 (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.136 * [taylor]: Taking taylor expansion of (* -1 (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.136 * [taylor]: Taking taylor expansion of -1 in x 0.136 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 0.136 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (* -1 (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.136 * [taylor]: Taking taylor expansion of -1 in x 0.136 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 0.136 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.140 * * * [progress]: simplifying candidates 0.141 * [simplify]: Simplifying using # : (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (+ x (sqrt 1.0))) (log (- x (sqrt 1.0)))) (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (exp (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (* (* (+ x (sqrt 1.0)) (+ x (sqrt 1.0))) (+ x (sqrt 1.0))) (* (* (- x (sqrt 1.0)) (- x (sqrt 1.0))) (- x (sqrt 1.0)))) (* (cbrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (cbrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) (cbrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (* (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (+ (pow x 3) (pow (sqrt 1.0) 3)) (- (pow x 3) (pow (sqrt 1.0) 3))) (* (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))) (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (* (+ (pow x 3) (pow (sqrt 1.0) 3)) (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (* (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))) (+ x (sqrt 1.0))) (* (- (* x x) (* (sqrt 1.0) (sqrt 1.0))) (- (pow x 3) (pow (sqrt 1.0) 3))) (* (- x (sqrt 1.0)) (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (* (- (* x x) (* (sqrt 1.0) (sqrt 1.0))) (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (* (- x (sqrt 1.0)) (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) x) (* (+ x (sqrt 1.0)) (neg (sqrt 1.0))) (* (+ x (sqrt 1.0)) x) (* (+ x (sqrt 1.0)) (neg (sqrt 1.0))) (* x (+ x (sqrt 1.0))) (* (neg (sqrt 1.0)) (+ x (sqrt 1.0))) (* x (+ x (sqrt 1.0))) (* (neg (sqrt 1.0)) (+ x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) 1) (* (+ x (sqrt 1.0)) (+ (sqrt x) (sqrt (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (+ (sqrt x) (sqrt (sqrt 1.0)))) (* (+ x (sqrt 1.0)) 1) (* (cbrt (+ x (sqrt 1.0))) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- (pow x 3) (pow (sqrt 1.0) 3))) (* (+ x (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (* (+ (pow x 3) (pow (sqrt 1.0) 3)) (- x (sqrt 1.0))) (* (- (* x x) (* (sqrt 1.0) (sqrt 1.0))) (- x (sqrt 1.0))) (- (pow x 2) (pow (sqrt 1.0) 2)) (- (pow x 2) (pow (sqrt 1.0) 2)) (- (pow x 2) (pow (sqrt 1.0) 2)) 0.144 * * [simplify]: iteration 0 : 197 enodes (cost 285 ) 0.148 * * [simplify]: iteration 1 : 989 enodes (cost 253 ) 0.167 * * [simplify]: iteration 2 : 5001 enodes (cost 245 ) 0.169 * [simplify]: Simplified to: (+ (pow x 2) (neg 1.0)) (log (+ (pow x 2) (neg 1.0))) (log (+ (pow x 2) (neg 1.0))) (/ (exp (pow x 2)) (exp 1.0)) (pow (+ (pow x 2) (neg 1.0)) 3) (* (cbrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (cbrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) (cbrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (pow (+ (pow x 2) (neg 1.0)) 3) (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (+ (pow x 3) (pow (sqrt 1.0) 3)) (- (pow x 3) (pow (sqrt 1.0) 3))) (* (+ (+ (pow x 2) 1.0) (* x (sqrt 1.0))) (- (+ (pow x 2) 1.0) (* x (sqrt 1.0)))) (* (+ (pow x 2) (neg 1.0)) (+ (pow x 3) (pow (sqrt 1.0) 3))) (* (+ x (sqrt 1.0)) (- (+ (pow x 2) 1.0) (* x (sqrt 1.0)))) (* (- (pow x 3) (pow (sqrt 1.0) 3)) (+ (pow x 2) (neg 1.0))) (* (+ (+ (pow x 2) 1.0) (* x (sqrt 1.0))) (- x (sqrt 1.0))) (* (+ (pow x 2) (neg 1.0)) (+ (pow x 2) (neg 1.0))) (+ (pow x 2) (neg 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* x (+ x (sqrt 1.0))) (* -1 (+ (* x (sqrt 1.0)) 1.0)) (* x (+ x (sqrt 1.0))) (* -1 (+ (* x (sqrt 1.0)) 1.0)) (* x (+ x (sqrt 1.0))) (* -1 (+ (* x (sqrt 1.0)) 1.0)) (* x (+ x (sqrt 1.0))) (* -1 (+ (* x (sqrt 1.0)) 1.0)) (* (+ x (sqrt 1.0)) (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (sqrt (- x (sqrt 1.0)))) (+ x (sqrt 1.0)) (* (+ x (sqrt 1.0)) (+ (sqrt x) (sqrt (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (+ (sqrt x) (sqrt (sqrt 1.0)))) (+ x (sqrt 1.0)) (* (cbrt (+ x (sqrt 1.0))) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (- x (sqrt 1.0))) (+ (pow x 2) (neg 1.0)) (+ (pow x 2) (neg 1.0)) (* (+ x (sqrt 1.0)) (- (pow x 3) (pow (sqrt 1.0) 3))) (* (+ (pow x 2) (neg 1.0)) (+ x (sqrt 1.0))) (* (+ (pow x 3) (pow (sqrt 1.0) 3)) (- x (sqrt 1.0))) (* (- x (sqrt 1.0)) (+ (pow x 2) (neg 1.0))) (+ (pow x 2) (neg 1.0)) (+ (pow x 2) (neg 1.0)) (+ (pow x 2) (neg 1.0)) 0.169 * * * [progress]: adding candidates to table 0.229 * [progress]: [Phase 3 of 3] Extracting. 0.229 * * [regime]: Finding splitpoints for: (# #) 0.229 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) (- (* x x) 1.0) x) 0.229 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.251 * * * * [regimes]: Trying to branch on (- (* x x) 1.0) from (# #) 0.273 * * * * [regimes]: Trying to branch on x from (# #) 0.295 * * * [regime]: Found split indices: #