10.503 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (* x (- 1.0 (* x 0.5))) 0.016 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 38 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 47 enodes (cost 3 ) 0.023 * * [simplify]: iteration 4 : 47 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (* x (- 1.0 (* x 0.5))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in (x) around 0 0.035 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.035 * [taylor]: Taking taylor expansion of 0.5 in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.035 * [taylor]: Taking taylor expansion of 0.5 in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.036 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in (x) around 0 0.036 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in x 0.036 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.036 * [taylor]: Taking taylor expansion of 0.5 in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in x 0.036 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.036 * [taylor]: Taking taylor expansion of 0.5 in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.038 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in (x) around 0 0.038 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in x 0.038 * [taylor]: Taking taylor expansion of -1 in x 0.038 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 x)) 1.0) x) in x 0.038 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.038 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of 0.5 in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in x 0.038 * [taylor]: Taking taylor expansion of -1 in x 0.038 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 x)) 1.0) x) in x 0.038 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.038 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of 0.5 in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.040 * * * [progress]: simplifying candidates 0.041 * [simplify]: Simplifying using # : (* x (- 1.0 (* x 0.5))) (+ (log x) (log (- 1.0 (* x 0.5)))) (log (* x (- 1.0 (* x 0.5)))) (exp (* x (- 1.0 (* x 0.5)))) (* (* (* x x) x) (* (* (- 1.0 (* x 0.5)) (- 1.0 (* x 0.5))) (- 1.0 (* x 0.5)))) (* (cbrt (* x (- 1.0 (* x 0.5)))) (cbrt (* x (- 1.0 (* x 0.5))))) (cbrt (* x (- 1.0 (* x 0.5)))) (* (* (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5)))) (* x (- 1.0 (* x 0.5)))) (sqrt (* x (- 1.0 (* x 0.5)))) (sqrt (* x (- 1.0 (* x 0.5)))) (* (sqrt x) (sqrt (- 1.0 (* x 0.5)))) (* (sqrt x) (sqrt (- 1.0 (* x 0.5)))) (* x 1.0) (* x (neg (* x 0.5))) (* x 1.0) (* x (neg (* x 0.5))) (* 1.0 x) (* (neg (* x 0.5)) x) (* 1.0 x) (* (neg (* x 0.5)) x) (* x (* (cbrt (- 1.0 (* x 0.5))) (cbrt (- 1.0 (* x 0.5))))) (* x (sqrt (- 1.0 (* x 0.5)))) (* x 1) (* (cbrt x) (- 1.0 (* x 0.5))) (* (sqrt x) (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) (* x (- (pow 1.0 3) (pow (* x 0.5) 3))) (* x (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5)))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) 0.044 * * [simplify]: iteration 0 : 122 enodes (cost 130 ) 0.047 * * [simplify]: iteration 1 : 534 enodes (cost 113 ) 0.060 * * [simplify]: iteration 2 : 2890 enodes (cost 113 ) 0.124 * * [simplify]: iteration 3 : 5001 enodes (cost 113 ) 0.125 * [simplify]: Simplified to: (* x (- 1.0 (* x 0.5))) (log (* x (- 1.0 (* x 0.5)))) (log (* x (- 1.0 (* x 0.5)))) (exp (* x (- 1.0 (* x 0.5)))) (pow (* x (- 1.0 (* x 0.5))) 3) (* (cbrt (* x (- 1.0 (* x 0.5)))) (cbrt (* x (- 1.0 (* x 0.5))))) (cbrt (* x (- 1.0 (* x 0.5)))) (pow (* x (- 1.0 (* x 0.5))) 3) (sqrt (* x (- 1.0 (* x 0.5)))) (sqrt (* x (- 1.0 (* x 0.5)))) (* (sqrt (- 1.0 (* x 0.5))) (pow x 1/2)) (* (sqrt (- 1.0 (* x 0.5))) (pow x 1/2)) (* x 1.0) (* x (neg (* x 0.5))) (* x 1.0) (* x (neg (* x 0.5))) (* x 1.0) (* x (neg (* x 0.5))) (* x 1.0) (* x (neg (* x 0.5))) (* x (* (cbrt (- 1.0 (* x 0.5))) (cbrt (- 1.0 (* x 0.5))))) (* x (sqrt (- 1.0 (* x 0.5)))) x (* (cbrt x) (- 1.0 (* x 0.5))) (* (sqrt x) (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) (* x (- (pow 1.0 3) (pow (* x 0.5) 3))) (* x (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5)))) (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) 0.125 * * * [progress]: adding candidates to table 0.154 * * [progress]: iteration 2 / 4 0.154 * * * [progress]: picking best candidate 0.158 * * * * [pick]: Picked # 0.158 * * * [progress]: localizing error 0.164 * * * [progress]: generating rewritten candidates 0.164 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.168 * * * [progress]: generating series expansions 0.168 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.168 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* 0.5 (pow x 2))) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 0.5 (pow x 2))) in x 0.168 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (* 0.5 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of 0.5 in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 0.5 (pow x 2))) in x 0.168 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (* 0.5 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of 0.5 in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.170 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) in (x) around 0 0.170 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 0.170 * [taylor]: Taking taylor expansion of 0.5 in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 0.170 * [taylor]: Taking taylor expansion of 0.5 in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.172 * [approximate]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) in (x) around 0 0.172 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) in x 0.172 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x))) in x 0.172 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 0.172 * [taylor]: Taking taylor expansion of 0.5 in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) in x 0.172 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x))) in x 0.172 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 0.172 * [taylor]: Taking taylor expansion of 0.5 in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.175 * * * [progress]: simplifying candidates 0.175 * [simplify]: Simplifying using # : (* (exp (* x 1.0)) (exp (* x (neg (* x 0.5))))) (log (+ (* x 1.0) (* x (neg (* x 0.5))))) (exp (+ (* x 1.0) (* x (neg (* x 0.5))))) (* (cbrt (+ (* x 1.0) (* x (neg (* x 0.5))))) (cbrt (+ (* x 1.0) (* x (neg (* x 0.5)))))) (cbrt (+ (* x 1.0) (* x (neg (* x 0.5))))) (* (* (+ (* x 1.0) (* x (neg (* x 0.5)))) (+ (* x 1.0) (* x (neg (* x 0.5))))) (+ (* x 1.0) (* x (neg (* x 0.5))))) (sqrt (+ (* x 1.0) (* x (neg (* x 0.5))))) (sqrt (+ (* x 1.0) (* x (neg (* x 0.5))))) (+ (pow (* x 1.0) 3) (pow (* x (neg (* x 0.5))) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* x (neg (* x 0.5))) (* x (neg (* x 0.5)))) (* (* x 1.0) (* x (neg (* x 0.5)))))) (- (* (* x 1.0) (* x 1.0)) (* (* x (neg (* x 0.5))) (* x (neg (* x 0.5))))) (- (* x 1.0) (* x (neg (* x 0.5)))) (+ 1.0 (neg (* x 0.5))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) 0.178 * * [simplify]: iteration 0 : 116 enodes (cost 114 ) 0.181 * * [simplify]: iteration 1 : 493 enodes (cost 90 ) 0.196 * * [simplify]: iteration 2 : 3196 enodes (cost 86 ) 0.293 * * [simplify]: iteration 3 : 5001 enodes (cost 86 ) 0.294 * [simplify]: Simplified to: (pow (exp x) (- 1.0 (* x 0.5))) (+ (log x) (log (- 1.0 (* x 0.5)))) (pow (exp x) (- 1.0 (* x 0.5))) (* (cbrt (+ (* x 1.0) (* x (neg (* x 0.5))))) (cbrt (+ (* x 1.0) (* x (neg (* x 0.5)))))) (cbrt (+ (* x 1.0) (* x (neg (* x 0.5))))) (pow (* (- 1.0 (* x 0.5)) x) 3) (sqrt (+ (* x 1.0) (* x (neg (* x 0.5))))) (sqrt (+ (* x 1.0) (* x (neg (* x 0.5))))) (- (pow (* x 1.0) 3) (pow (* x (* x 0.5)) 3)) (* x (+ (* 1.0 (* x 1.0)) (* (neg (* x 0.5)) (* x (- (neg (* x 0.5)) 1.0))))) (* (pow x 2) (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5)))) (* x (+ 1.0 (* x 0.5))) (- 1.0 (* x 0.5)) (* (- 1.0 (* x 0.5)) x) (* (- 1.0 (* x 0.5)) x) (* (- 1.0 (* x 0.5)) x) 0.294 * * * [progress]: adding candidates to table 0.312 * * [progress]: iteration 3 / 4 0.312 * * * [progress]: picking best candidate 0.315 * * * * [pick]: Picked # 0.315 * * * [progress]: localizing error 0.323 * * * [progress]: generating rewritten candidates 0.323 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.332 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.340 * * * [progress]: generating series expansions 0.340 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.340 * [approximate]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.340 * [taylor]: Taking taylor expansion of 0.5 in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.340 * [taylor]: Taking taylor expansion of 0.5 in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.342 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in x 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of 0.5 in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in x 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of 0.5 in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.344 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in x 0.344 * [taylor]: Taking taylor expansion of -1 in x 0.344 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 x)) 1.0) x) in x 0.344 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of 0.5 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in x 0.344 * [taylor]: Taking taylor expansion of -1 in x 0.344 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 x)) 1.0) x) in x 0.344 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of 0.5 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.346 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.346 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (* 0.5 x)))) in (x) around 0 0.346 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (* 0.5 x)))) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 x))) in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.346 * [taylor]: Taking taylor expansion of 0.5 in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (* 0.5 x)))) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 x))) in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.347 * [taylor]: Taking taylor expansion of 0.5 in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (* 0.5 (/ 1 x))))) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (* 0.5 (/ 1 x))))) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 (/ 1 x)))) in x 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of 0.5 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (* 0.5 (/ 1 x))))) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 (/ 1 x)))) in x 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of 0.5 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (+ (* 0.5 (/ 1 x)) 1.0)))) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (+ (* 0.5 (/ 1 x)) 1.0)))) in x 0.350 * [taylor]: Taking taylor expansion of -1 in x 0.350 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (* 0.5 (/ 1 x)) 1.0))) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 x)) 1.0)) in x 0.350 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of 0.5 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (+ (* 0.5 (/ 1 x)) 1.0)))) in x 0.351 * [taylor]: Taking taylor expansion of -1 in x 0.351 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (* 0.5 (/ 1 x)) 1.0))) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 x)) 1.0)) in x 0.351 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.351 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of 0.5 in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * * * [progress]: simplifying candidates 0.354 * [simplify]: Simplifying using # : (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5)))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5)))) (+ (+ (log x) (log (sqrt (- 1.0 (* x 0.5))))) (log (sqrt (- 1.0 (* x 0.5))))) (+ (log (* x (sqrt (- 1.0 (* x 0.5))))) (log (sqrt (- 1.0 (* x 0.5))))) (log (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (exp (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (* (* (* (* x x) x) (* (* (sqrt (- 1.0 (* x 0.5))) (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (* (* (sqrt (- 1.0 (* x 0.5))) (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (* (* (* (* x (sqrt (- 1.0 (* x 0.5)))) (* x (sqrt (- 1.0 (* x 0.5))))) (* x (sqrt (- 1.0 (* x 0.5))))) (* (* (sqrt (- 1.0 (* x 0.5))) (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (* (cbrt (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (cbrt (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5)))))) (cbrt (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (* (* (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5)))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (sqrt (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (sqrt (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (* (* x (sqrt (- (pow 1.0 3) (pow (* x 0.5) 3)))) (sqrt (- (pow 1.0 3) (pow (* x 0.5) 3)))) (* (sqrt (+ (* 1.0 1.0) (+ (* (* x 0.5) (* x 0.5)) (* 1.0 (* x 0.5))))) (sqrt (+ (* 1.0 1.0) (+ (* (* x 0.5) (* x 0.5)) (* 1.0 (* x 0.5)))))) (* (* x (sqrt (- (pow 1.0 3) (pow (* x 0.5) 3)))) (sqrt (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))))) (* (sqrt (+ (* 1.0 1.0) (+ (* (* x 0.5) (* x 0.5)) (* 1.0 (* x 0.5))))) (sqrt (+ 1.0 (* x 0.5)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))))) (sqrt (- (pow 1.0 3) (pow (* x 0.5) 3)))) (* (sqrt (+ 1.0 (* x 0.5))) (sqrt (+ (* 1.0 1.0) (+ (* (* x 0.5) (* x 0.5)) (* 1.0 (* x 0.5)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))))) (sqrt (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))))) (* (sqrt (+ 1.0 (* x 0.5))) (sqrt (+ 1.0 (* x 0.5)))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (* (cbrt (sqrt (- 1.0 (* x 0.5)))) (cbrt (sqrt (- 1.0 (* x 0.5)))))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (* (cbrt (- 1.0 (* x 0.5))) (cbrt (- 1.0 (* x 0.5)))))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (sqrt (- 1.0 (* x 0.5))))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt 1)) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (sqrt (- 1.0 (* x 0.5))))) (* (* x (sqrt (- 1.0 (* x 0.5)))) 1) (* (sqrt (- 1.0 (* x 0.5))) (sqrt (- 1.0 (* x 0.5)))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- (pow 1.0 3) (pow (* x 0.5) 3)))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))))) (* (* x (sqrt (- (pow 1.0 3) (pow (* x 0.5) 3)))) (sqrt (- 1.0 (* x 0.5)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))))) (sqrt (- 1.0 (* x 0.5)))) (* x (sqrt (- 1.0 (* x 0.5)))) (+ (log x) (log (sqrt (- 1.0 (* x 0.5))))) (log (* x (sqrt (- 1.0 (* x 0.5))))) (exp (* x (sqrt (- 1.0 (* x 0.5))))) (* (* (* x x) x) (* (* (sqrt (- 1.0 (* x 0.5))) (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (* (cbrt (* x (sqrt (- 1.0 (* x 0.5))))) (cbrt (* x (sqrt (- 1.0 (* x 0.5)))))) (cbrt (* x (sqrt (- 1.0 (* x 0.5))))) (* (* (* x (sqrt (- 1.0 (* x 0.5)))) (* x (sqrt (- 1.0 (* x 0.5))))) (* x (sqrt (- 1.0 (* x 0.5))))) (sqrt (* x (sqrt (- 1.0 (* x 0.5))))) (sqrt (* x (sqrt (- 1.0 (* x 0.5))))) (* (sqrt x) (sqrt (sqrt (- 1.0 (* x 0.5))))) (* (sqrt x) (sqrt (sqrt (- 1.0 (* x 0.5))))) (* (sqrt x) (sqrt (sqrt (- 1.0 (* x 0.5))))) (* (sqrt x) (sqrt (sqrt (- 1.0 (* x 0.5))))) (* x (* (cbrt (sqrt (- 1.0 (* x 0.5)))) (cbrt (sqrt (- 1.0 (* x 0.5)))))) (* x (sqrt (* (cbrt (- 1.0 (* x 0.5))) (cbrt (- 1.0 (* x 0.5)))))) (* x (sqrt (sqrt (- 1.0 (* x 0.5))))) (* x (sqrt 1)) (* x (sqrt (sqrt (- 1.0 (* x 0.5))))) (* x 1) (* (cbrt x) (sqrt (- 1.0 (* x 0.5)))) (* (sqrt x) (sqrt (- 1.0 (* x 0.5)))) (* x (sqrt (- 1.0 (* x 0.5)))) (* x (sqrt (- (pow 1.0 3) (pow (* x 0.5) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* x (sqrt 1.0)) (+ (* 0.03125 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 0.25 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 (/ (pow NAN 5) x)) (+ (* 1.0 NAN) (* x NAN))) (+ (* 2.0 (/ (pow NAN 3) x)) (pow NAN 3))) (- (+ (* 2 (/ (pow NAN 5) x)) (+ (* x NAN) (pow NAN 3))) (+ (* 2.0 (/ (pow NAN 3) x)) (* 1.0 NAN))) 0.359 * * [simplify]: iteration 0 : 322 enodes (cost 501 ) 0.365 * * [simplify]: iteration 1 : 1401 enodes (cost 432 ) 0.392 * * [simplify]: iteration 2 : 5001 enodes (cost 424 ) 0.395 * [simplify]: Simplified to: (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) (+ (log x) (log (- 1.0 (* x 0.5)))) (+ (log x) (log (- 1.0 (* x 0.5)))) (+ (log x) (log (- 1.0 (* x 0.5)))) (pow (exp x) (- 1.0 (* x 0.5))) (pow (* x (- 1.0 (* x 0.5))) 3) (pow (* x (- 1.0 (* x 0.5))) 3) (* (cbrt (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (cbrt (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5)))))) (cbrt (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (pow (* x (- 1.0 (* x 0.5))) 3) (sqrt (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (sqrt (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- 1.0 (* x 0.5))))) (* (- (pow 1.0 3) (pow (* x 0.5) 3)) x) (+ (* (* x 0.5) (+ (* x 0.5) 1.0)) (* 1.0 1.0)) (* (* x (sqrt (- (pow 1.0 3) (pow (* x 0.5) 3)))) (sqrt (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))))) (* (sqrt (+ (* 1.0 1.0) (+ (* (* x 0.5) (* x 0.5)) (* 1.0 (* x 0.5))))) (sqrt (+ 1.0 (* x 0.5)))) (* (* x (sqrt (- (pow 1.0 3) (pow (* x 0.5) 3)))) (sqrt (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))))) (* (sqrt (+ (* 1.0 1.0) (+ (* (* x 0.5) (* x 0.5)) (* 1.0 (* x 0.5))))) (sqrt (+ 1.0 (* x 0.5)))) (* (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))) x) (+ 1.0 (* x 0.5)) (* (* x (sqrt (- 1.0 (* x 0.5)))) (* (cbrt (sqrt (- 1.0 (* x 0.5)))) (cbrt (sqrt (- 1.0 (* x 0.5)))))) (* x (* (sqrt (- 1.0 (* x 0.5))) (fabs (cbrt (- 1.0 (* x 0.5)))))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (sqrt (- 1.0 (* x 0.5))))) (* x (sqrt (- 1.0 (* x 0.5)))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (sqrt (- 1.0 (* x 0.5))))) (* x (sqrt (- 1.0 (* x 0.5)))) (- 1.0 (* x 0.5)) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- (pow 1.0 3) (pow (* x 0.5) 3)))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- (pow 1.0 3) (pow (* x 0.5) 3)))) (* (* x (sqrt (- 1.0 (* x 0.5)))) (sqrt (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))))) (* x (sqrt (- 1.0 (* x 0.5)))) (log (* x (sqrt (- 1.0 (* x 0.5))))) (log (* x (sqrt (- 1.0 (* x 0.5))))) (exp (* x (sqrt (- 1.0 (* x 0.5))))) (pow (* x (sqrt (- 1.0 (* x 0.5)))) 3) (* (cbrt (* x (sqrt (- 1.0 (* x 0.5))))) (cbrt (* x (sqrt (- 1.0 (* x 0.5)))))) (cbrt (* x (sqrt (- 1.0 (* x 0.5))))) (pow (* x (sqrt (- 1.0 (* x 0.5)))) 3) (sqrt (* x (sqrt (- 1.0 (* x 0.5))))) (sqrt (* x (sqrt (- 1.0 (* x 0.5))))) (* (sqrt (sqrt (- 1.0 (* x 0.5)))) (pow x 1/2)) (* (sqrt (sqrt (- 1.0 (* x 0.5)))) (pow x 1/2)) (* (sqrt (sqrt (- 1.0 (* x 0.5)))) (pow x 1/2)) (* (sqrt (sqrt (- 1.0 (* x 0.5)))) (pow x 1/2)) (* x (* (cbrt (sqrt (- 1.0 (* x 0.5)))) (cbrt (sqrt (- 1.0 (* x 0.5)))))) (* (fabs (cbrt (- 1.0 (* x 0.5)))) x) (* x (sqrt (sqrt (- 1.0 (* x 0.5))))) x (* x (sqrt (sqrt (- 1.0 (* x 0.5))))) x (* (cbrt x) (sqrt (- 1.0 (* x 0.5)))) (* (sqrt x) (sqrt (- 1.0 (* x 0.5)))) (* x (sqrt (- 1.0 (* x 0.5)))) (* x (sqrt (- (pow 1.0 3) (pow (* x 0.5) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5))))) (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) (- (* x (sqrt 1.0)) (+ (* 0.03125 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 0.25 (/ (pow x 2) (sqrt 1.0))))) (+ (* 2 (/ (pow NAN 5) x)) (- (* NAN (+ 1.0 x)) (+ (* 2.0 (/ (pow NAN 3) x)) (pow NAN 3)))) (- (+ (* 2 (/ (pow NAN 5) x)) (* NAN (- (+ (* NAN NAN) x) 1.0))) (* 2.0 (/ (pow NAN 3) x))) 0.395 * * * [progress]: adding candidates to table 0.474 * [progress]: [Phase 3 of 3] Extracting. 0.474 * * [regime]: Finding splitpoints for: (# # #) 0.474 * * * [regime-changes]: Trying 2 branch expressions: ((* x (- 1.0 (* x 0.5))) x) 0.474 * * * * [regimes]: Trying to branch on (* x (- 1.0 (* x 0.5))) from (# # #) 0.504 * * * * [regimes]: Trying to branch on x from (# # #) 0.528 * * * [regime]: Found split indices: #