4.107 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (- (* x x) 1.0) 0.021 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.023 * * [simplify]: iteration 1 : 7 enodes (cost 2 ) 0.025 * * [simplify]: iteration 2 : 7 enodes (cost 2 ) 0.025 * [simplify]: Simplified to: (- (* x x) 1.0) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.033 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.043 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [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 (- (/ 1 (pow x 2)) 1.0) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * * * [progress]: simplifying candidates 0.079 * [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))) (- 1.0) (- (* (* x x) (* x x)) (* 1.0 1.0)) (+ (* x x) 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (- 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.083 * * [simplify]: iteration 0 : 73 enodes (cost 63 ) 0.085 * * [simplify]: iteration 1 : 216 enodes (cost 56 ) 0.089 * * [simplify]: iteration 2 : 535 enodes (cost 56 ) 0.101 * * [simplify]: iteration 3 : 1794 enodes (cost 56 ) 0.146 * * [simplify]: iteration 4 : 5001 enodes (cost 56 ) 0.147 * [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) (+ (- (* 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) 0.147 * * * [progress]: adding candidates to table 0.175 * * [progress]: iteration 2 / 4 0.175 * * * [progress]: picking best candidate 0.176 * * * * [pick]: Picked # 0.176 * * * [progress]: localizing error 0.182 * * * [progress]: generating rewritten candidates 0.182 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.211 * * * [progress]: generating series expansions 0.211 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.212 * [approximate]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in (x) around 0 0.212 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.212 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.214 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.253 * [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 0.297 * [approximate]: Taking taylor expansion of (* -1 (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.297 * [taylor]: Taking taylor expansion of (* -1 (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.297 * [taylor]: Taking taylor expansion of -1 in x 0.297 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 0.297 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.299 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (* -1 (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.300 * [taylor]: Taking taylor expansion of -1 in x 0.300 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 0.300 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.301 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.351 * * * [progress]: simplifying candidates 0.351 * [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)) (- (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 (+ x (sqrt 1.0))) (* (- (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)) 0.355 * * [simplify]: iteration 0 : 197 enodes (cost 285 ) 0.360 * * [simplify]: iteration 1 : 989 enodes (cost 253 ) 0.384 * * [simplify]: iteration 2 : 5001 enodes (cost 245 ) 0.386 * [simplify]: Simplified to: (+ (pow x 2) (- 1.0)) (log (+ (pow x 2) (- 1.0))) (log (+ (pow x 2) (- 1.0))) (/ (exp (pow x 2)) (exp 1.0)) (pow (+ (pow x 2) (- 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) (- 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) (- 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) (- 1.0))) (* (+ (+ (pow x 2) 1.0) (* x (sqrt 1.0))) (- x (sqrt 1.0))) (* (+ (pow x 2) (- 1.0)) (+ (pow x 2) (- 1.0))) (+ (pow x 2) (- 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))) (- (+ (* x (sqrt 1.0)) 1.0)) (* x (+ x (sqrt 1.0))) (- (+ (* x (sqrt 1.0)) 1.0)) (* x (+ x (sqrt 1.0))) (- (+ (* x (sqrt 1.0)) 1.0)) (* x (+ x (sqrt 1.0))) (- (+ (* 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) (- 1.0)) (+ (pow x 2) (- 1.0)) (* (+ x (sqrt 1.0)) (- (pow x 3) (pow (sqrt 1.0) 3))) (* (+ (pow x 2) (- 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) (- 1.0))) (+ (pow x 2) (- 1.0)) (+ (pow x 2) (- 1.0)) (+ (pow x 2) (- 1.0)) 0.386 * * * [progress]: adding candidates to table 0.464 * [progress]: [Phase 3 of 3] Extracting. 0.464 * * [regime]: Finding splitpoints for: (# #) 0.464 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) (- (* x x) 1.0) x) 0.464 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.473 * * * * [regimes]: Trying to branch on (- (* x x) 1.0) from (# #) 0.482 * * * * [regimes]: Trying to branch on x from (# #) 0.494 * * * [regime]: Found split indices: #