20.202 * [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 3.0) x) 0.016 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.018 * * [simplify]: iteration 2 : 10 enodes (cost 2 ) 0.018 * [simplify]: Simplified to: (* (* x 3.0) x) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (* 3.0 (pow x 2)) in (x) around 0 0.028 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 0.029 * [taylor]: Taking taylor expansion of 3.0 in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 0.029 * [taylor]: Taking taylor expansion of 3.0 in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.037 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 0.037 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.037 * [taylor]: Taking taylor expansion of 3.0 in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of 3.0 in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.048 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 0.048 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of 3.0 in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of 3.0 in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.056 * * * [progress]: simplifying candidates 0.057 * [simplify]: Simplifying using # : (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) (* (* x 3.0) x) (* (* x 3.0) x) (+ (+ (log x) (log 3.0)) (log x)) (+ (log (* x 3.0)) (log x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (* (* (* (* x x) x) (* (* 3.0 3.0) 3.0)) (* (* x x) x)) (* (* (* (* x 3.0) (* x 3.0)) (* x 3.0)) (* (* x x) x)) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (* (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (* (* x 3.0) (* (cbrt x) (cbrt x))) (* (* x 3.0) (sqrt x)) (* (* x 3.0) 1) (* 3.0 x) (* 3.0 (pow x 2)) (* 3.0 (pow x 2)) (* 3.0 (pow x 2)) 0.060 * * [simplify]: iteration 0 : 96 enodes (cost 78 ) 0.064 * * [simplify]: iteration 1 : 435 enodes (cost 63 ) 0.076 * * [simplify]: iteration 2 : 2298 enodes (cost 63 ) 0.114 * * [simplify]: iteration 3 : 5001 enodes (cost 62 ) 0.115 * [simplify]: Simplified to: (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) (* (* x 3.0) x) (* (* x 3.0) x) (log (* (* x 3.0) x)) (log (* (* x 3.0) x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (pow (* (* x 3.0) x) 3) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (* (* x 3.0) (* (cbrt x) (cbrt x))) (* (pow x 3/2) 3.0) (* x 3.0) (* x 3.0) (* (* x 3.0) x) (* (* x 3.0) x) (* (* x 3.0) x) 0.115 * * * [progress]: adding candidates to table 0.137 * * [progress]: iteration 2 / 4 0.137 * * * [progress]: picking best candidate 0.146 * * * * [pick]: Picked # 0.146 * * * [progress]: localizing error 0.152 * * * [progress]: generating rewritten candidates 0.152 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.156 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.160 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.176 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.186 * * * [progress]: generating series expansions 0.186 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.186 * [approximate]: Taking taylor expansion of (* x (sqrt 3.0)) in (x) around 0 0.186 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.186 * [taylor]: Taking taylor expansion of 3.0 in x 0.187 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.188 * [taylor]: Taking taylor expansion of 3.0 in x 0.200 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.200 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.200 * [taylor]: Taking taylor expansion of 3.0 in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.201 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.201 * [taylor]: Taking taylor expansion of 3.0 in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.211 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 0.211 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.211 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.211 * [taylor]: Taking taylor expansion of 3.0 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.212 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.212 * [taylor]: Taking taylor expansion of 3.0 in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.221 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.221 * [approximate]: Taking taylor expansion of (* x (sqrt 3.0)) in (x) around 0 0.221 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.221 * [taylor]: Taking taylor expansion of 3.0 in x 0.222 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.222 * [taylor]: Taking taylor expansion of 3.0 in x 0.234 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 0.234 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.234 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.234 * [taylor]: Taking taylor expansion of 3.0 in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.236 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.236 * [taylor]: Taking taylor expansion of 3.0 in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.245 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 0.245 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.245 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.245 * [taylor]: Taking taylor expansion of 3.0 in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.246 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.246 * [taylor]: Taking taylor expansion of 3.0 in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.259 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.259 * [approximate]: Taking taylor expansion of (* (pow x 2) (pow (sqrt 3.0) 2)) in (x) around 0 0.259 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sqrt 3.0) 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 0.259 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.259 * [taylor]: Taking taylor expansion of 3.0 in x 0.260 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sqrt 3.0) 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 0.260 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.260 * [taylor]: Taking taylor expansion of 3.0 in x 0.279 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3.0) 2) (pow x 2)) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3.0) 2) (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 0.280 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.280 * [taylor]: Taking taylor expansion of 3.0 in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3.0) 2) (pow x 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 0.282 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.282 * [taylor]: Taking taylor expansion of 3.0 in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.302 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3.0) 2) (pow x 2)) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3.0) 2) (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 0.303 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.303 * [taylor]: Taking taylor expansion of 3.0 in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3.0) 2) (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 0.306 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.306 * [taylor]: Taking taylor expansion of 3.0 in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.325 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.325 * [approximate]: Taking taylor expansion of (* 3.0 (pow x 2)) in (x) around 0 0.325 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of 3.0 in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of 3.0 in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.333 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of 3.0 in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of 3.0 in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.344 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of 3.0 in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of 3.0 in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.352 * * * [progress]: simplifying candidates 0.353 * [simplify]: Simplifying using # : (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (sqrt (* x 3.0)) (sqrt x) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (sqrt (* x 3.0)) (sqrt x) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (log1p (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (+ 1 1) (+ (log (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x)))) (log (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (exp (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (* (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x)))) (* (cbrt (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (cbrt (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))))) (cbrt (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (* (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (* (* (* x 3.0) x) (* (* x 3.0) x)) (sqrt (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (sqrt (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (* (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x))))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (* (sqrt (* x 3.0)) (sqrt (* x 3.0))) (* (sqrt x) (sqrt x)) (* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x)))) (* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x)))) (* 1 1) (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x)))) (* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* (sqrt (* (* x 3.0) x)) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x))))) (* (sqrt (* (* x 3.0) x)) (sqrt (* x 3.0))) (* (sqrt (* (* x 3.0) x)) (sqrt (sqrt (* (* x 3.0) x)))) (* (sqrt (* (* x 3.0) x)) 1) (* (cbrt (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (* (sqrt x) (sqrt (* (* x 3.0) x))) (* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) (* (* x 3.0) x) (* (* x 3.0) x) (+ (+ (log x) (log 3.0)) (log x)) (+ (log (* x 3.0)) (log x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (* (* (* (* x x) x) (* (* 3.0 3.0) 3.0)) (* (* x x) x)) (* (* (* (* x 3.0) (* x 3.0)) (* x 3.0)) (* (* x x) x)) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (* (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (* (* x 3.0) (* (cbrt x) (cbrt x))) (* (* x 3.0) (sqrt x)) (* (* x 3.0) 1) (* 3.0 x) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* (pow x 2) (pow (sqrt 3.0) 2)) (* (pow x 2) (pow (sqrt 3.0) 2)) (* (pow x 2) (pow (sqrt 3.0) 2)) (* 3.0 (pow x 2)) (* 3.0 (pow x 2)) (* 3.0 (pow x 2)) 0.359 * * [simplify]: iteration 0 : 183 enodes (cost 396 ) 0.364 * * [simplify]: iteration 1 : 948 enodes (cost 335 ) 0.392 * * [simplify]: iteration 2 : 5001 enodes (cost 324 ) 0.395 * [simplify]: Simplified to: (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3) (sqrt (* x 3.0)) (sqrt x) 1/2 1/2 1/2 (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3) (sqrt (* x 3.0)) (sqrt x) 1/2 1/2 1/2 (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 (* x (* (* (pow x 3) 3.0) 3.0)) (* (* x 3.0) x) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) 2 (log (* (* x 3.0) x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (* x (* (* (pow x 3) 3.0) 3.0)) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (pow (cbrt (sqrt (* (* x 3.0) x))) 4) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (* x 3.0) x (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) 1 (* (* x 3.0) x) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) 1 2 1 1 1 1 1 1 1 1 1 (* (pow (cbrt (sqrt (* (* x 3.0) x))) 4) (cbrt (sqrt (* (* x 3.0) x)))) (* (sqrt (* (* x 3.0) x)) (sqrt (* x 3.0))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (* (* x 3.0) x)) (pow (cbrt (sqrt (* (* x 3.0) x))) 4) (* (sqrt x) (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (* (* x 3.0) x) (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) (* (* x 3.0) x) (* (* x 3.0) x) (log (* (* x 3.0) x)) (log (* (* x 3.0) x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (pow (* (* x 3.0) x) 3) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (* (* x 3.0) (* (cbrt x) (cbrt x))) (* (* x 3.0) (sqrt x)) (* x 3.0) (* x 3.0) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* (* x 3.0) x) (* (* x 3.0) x) (* (* x 3.0) x) (* (* x 3.0) x) (* (* x 3.0) x) (* (* x 3.0) x) 0.396 * * * [progress]: adding candidates to table 0.507 * * [progress]: iteration 3 / 4 0.508 * * * [progress]: picking best candidate 0.518 * * * * [pick]: Picked # 0.518 * * * [progress]: localizing error 0.530 * * * [progress]: generating rewritten candidates 0.530 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.534 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.544 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.545 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2) 0.547 * * * [progress]: generating series expansions 0.547 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.547 * [approximate]: Taking taylor expansion of (* x (sqrt 3.0)) in (x) around 0 0.548 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.548 * [taylor]: Taking taylor expansion of 3.0 in x 0.549 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.549 * [taylor]: Taking taylor expansion of 3.0 in x 0.560 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 0.560 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.560 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.560 * [taylor]: Taking taylor expansion of 3.0 in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.561 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.561 * [taylor]: Taking taylor expansion of 3.0 in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.570 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.570 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.570 * [taylor]: Taking taylor expansion of 3.0 in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.571 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.571 * [taylor]: Taking taylor expansion of 3.0 in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.583 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.584 * [approximate]: Taking taylor expansion of (* x (sqrt 3.0)) in (x) around 0 0.584 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.584 * [taylor]: Taking taylor expansion of 3.0 in x 0.584 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.584 * [taylor]: Taking taylor expansion of 3.0 in x 0.596 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 0.596 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.596 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.596 * [taylor]: Taking taylor expansion of 3.0 in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.597 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.597 * [taylor]: Taking taylor expansion of 3.0 in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.606 * [approximate]: Taking taylor expansion of (sqrt (* -3.0 (/ (pow (cbrt -1) 3) (pow x 2)))) in (x) around 0 0.606 * [taylor]: Taking taylor expansion of (sqrt (* -3.0 (/ (pow (cbrt -1) 3) (pow x 2)))) in x 0.606 * [taylor]: Taking taylor expansion of (* -3.0 (/ (pow (cbrt -1) 3) (pow x 2))) in x 0.606 * [taylor]: Taking taylor expansion of -3.0 in x 0.606 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 3) (pow x 2)) in x 0.606 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in x 0.606 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.606 * [taylor]: Taking taylor expansion of -1 in x 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (sqrt (* -3.0 (/ (pow (cbrt -1) 3) (pow x 2)))) in x 0.614 * [taylor]: Taking taylor expansion of (* -3.0 (/ (pow (cbrt -1) 3) (pow x 2))) in x 0.614 * [taylor]: Taking taylor expansion of -3.0 in x 0.614 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 3) (pow x 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in x 0.614 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.614 * [taylor]: Taking taylor expansion of -1 in x 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.645 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.645 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.645 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.645 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.645 * [taylor]: Taking taylor expansion of 1/3 in x 0.645 * [taylor]: Taking taylor expansion of (log x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.646 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.646 * [taylor]: Taking taylor expansion of 1/3 in x 0.646 * [taylor]: Taking taylor expansion of (log x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.697 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.697 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.697 * [taylor]: Taking taylor expansion of 1/3 in x 0.697 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.698 * [taylor]: Taking taylor expansion of 1/3 in x 0.698 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.752 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.752 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.752 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.752 * [taylor]: Taking taylor expansion of -1 in x 0.753 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.753 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.753 * [taylor]: Taking taylor expansion of 1/3 in x 0.753 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.754 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.754 * [taylor]: Taking taylor expansion of -1 in x 0.754 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.754 * [taylor]: Taking taylor expansion of 1/3 in x 0.754 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.818 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2) 0.818 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.818 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.818 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.818 * [taylor]: Taking taylor expansion of 1/3 in x 0.818 * [taylor]: Taking taylor expansion of (log x) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.819 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.819 * [taylor]: Taking taylor expansion of 1/3 in x 0.819 * [taylor]: Taking taylor expansion of (log x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.865 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.865 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.865 * [taylor]: Taking taylor expansion of 1/3 in x 0.865 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.866 * [taylor]: Taking taylor expansion of 1/3 in x 0.866 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.921 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.921 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.921 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.921 * [taylor]: Taking taylor expansion of -1 in x 0.922 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.922 * [taylor]: Taking taylor expansion of 1/3 in x 0.922 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.923 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.923 * [taylor]: Taking taylor expansion of -1 in x 0.924 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.924 * [taylor]: Taking taylor expansion of 1/3 in x 0.924 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.990 * * * [progress]: simplifying candidates 0.991 * [simplify]: Simplifying using # : (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (sqrt (* x 3.0)) (sqrt x) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (log1p (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (log (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (exp (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (* (cbrt (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (cbrt (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x))))) (cbrt (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (* (* (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x))) (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (sqrt (* (* x 3.0) (* (cbrt x) (cbrt x)))) (sqrt (cbrt x)) (/ 1 2) (/ 1 2) (/ 1 2) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (sqrt (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 0.994 * * [simplify]: iteration 0 : 89 enodes (cost 252 ) 0.996 * * [simplify]: iteration 1 : 208 enodes (cost 237 ) 1.001 * * [simplify]: iteration 2 : 628 enodes (cost 183 ) 1.017 * * [simplify]: iteration 3 : 3639 enodes (cost 183 ) 1.120 * * [simplify]: iteration 4 : 5003 enodes (cost 183 ) 1.121 * [simplify]: Simplified to: (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3) (sqrt (* x 3.0)) (sqrt x) 1/2 1/2 1/2 (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3) (sqrt (* (* x 3.0) (* (cbrt x) (cbrt x)))) (sqrt (cbrt x)) 1/2 1/2 1/2 1/2 1/2 1/2 (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.122 * * * [progress]: adding candidates to table 1.257 * * [progress]: iteration 4 / 4 1.257 * * * [progress]: picking best candidate 1.268 * * * * [pick]: Picked # 1.268 * * * [progress]: localizing error 1.286 * * * [progress]: generating rewritten candidates 1.286 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.290 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.294 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.304 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.306 * * * [progress]: generating series expansions 1.306 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.306 * [approximate]: Taking taylor expansion of (* x (sqrt 3.0)) in (x) around 0 1.306 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.306 * [taylor]: Taking taylor expansion of 3.0 in x 1.307 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.307 * [taylor]: Taking taylor expansion of 3.0 in x 1.319 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 1.319 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 1.319 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.319 * [taylor]: Taking taylor expansion of 3.0 in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 1.320 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.320 * [taylor]: Taking taylor expansion of 3.0 in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.329 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 1.329 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.329 * [taylor]: Taking taylor expansion of 3.0 in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 1.330 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.330 * [taylor]: Taking taylor expansion of 3.0 in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.339 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.339 * [approximate]: Taking taylor expansion of (* x (sqrt 3.0)) in (x) around 0 1.339 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.339 * [taylor]: Taking taylor expansion of 3.0 in x 1.340 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.340 * [taylor]: Taking taylor expansion of 3.0 in x 1.351 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 1.351 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 1.351 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.351 * [taylor]: Taking taylor expansion of 3.0 in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 1.352 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.352 * [taylor]: Taking taylor expansion of 3.0 in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.366 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 1.366 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 1.366 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.366 * [taylor]: Taking taylor expansion of 3.0 in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 1.368 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.368 * [taylor]: Taking taylor expansion of 3.0 in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.376 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.377 * [approximate]: Taking taylor expansion of (* x (sqrt 3.0)) in (x) around 0 1.377 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.377 * [taylor]: Taking taylor expansion of 3.0 in x 1.377 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.377 * [taylor]: Taking taylor expansion of 3.0 in x 1.389 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 1.389 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 1.389 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.389 * [taylor]: Taking taylor expansion of 3.0 in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 1.390 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.390 * [taylor]: Taking taylor expansion of 3.0 in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.399 * [approximate]: Taking taylor expansion of (sqrt (* -3.0 (/ (pow (cbrt -1) 3) (pow x 2)))) in (x) around 0 1.399 * [taylor]: Taking taylor expansion of (sqrt (* -3.0 (/ (pow (cbrt -1) 3) (pow x 2)))) in x 1.399 * [taylor]: Taking taylor expansion of (* -3.0 (/ (pow (cbrt -1) 3) (pow x 2))) in x 1.399 * [taylor]: Taking taylor expansion of -3.0 in x 1.399 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 3) (pow x 2)) in x 1.399 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in x 1.399 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.399 * [taylor]: Taking taylor expansion of -1 in x 1.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.406 * [taylor]: Taking taylor expansion of (sqrt (* -3.0 (/ (pow (cbrt -1) 3) (pow x 2)))) in x 1.406 * [taylor]: Taking taylor expansion of (* -3.0 (/ (pow (cbrt -1) 3) (pow x 2))) in x 1.406 * [taylor]: Taking taylor expansion of -3.0 in x 1.406 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 3) (pow x 2)) in x 1.406 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in x 1.406 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.406 * [taylor]: Taking taylor expansion of -1 in x 1.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.438 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.438 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.438 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.438 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.438 * [taylor]: Taking taylor expansion of 1/3 in x 1.438 * [taylor]: Taking taylor expansion of (log x) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.445 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.445 * [taylor]: Taking taylor expansion of 1/3 in x 1.445 * [taylor]: Taking taylor expansion of (log x) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.493 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.493 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.493 * [taylor]: Taking taylor expansion of 1/3 in x 1.493 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.494 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.494 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.494 * [taylor]: Taking taylor expansion of 1/3 in x 1.494 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.550 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.550 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.550 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.550 * [taylor]: Taking taylor expansion of -1 in x 1.551 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.551 * [taylor]: Taking taylor expansion of 1/3 in x 1.551 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.552 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.552 * [taylor]: Taking taylor expansion of -1 in x 1.552 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.552 * [taylor]: Taking taylor expansion of 1/3 in x 1.552 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.619 * * * [progress]: simplifying candidates 1.620 * [simplify]: Simplifying using # : (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (sqrt (* x 3.0)) (sqrt x) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (sqrt (* x 3.0)) (sqrt x) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (log1p (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (log (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (exp (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (* (cbrt (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (cbrt (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x))))) (cbrt (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (* (* (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x))) (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (sqrt (* (* x 3.0) (* (cbrt x) (cbrt x)))) (sqrt (cbrt x)) (/ 1 2) (/ 1 2) (/ 1 2) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (sqrt (sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.624 * * [simplify]: iteration 0 : 89 enodes (cost 262 ) 1.626 * * [simplify]: iteration 1 : 208 enodes (cost 248 ) 1.630 * * [simplify]: iteration 2 : 628 enodes (cost 196 ) 1.646 * * [simplify]: iteration 3 : 3639 enodes (cost 196 ) 1.750 * * [simplify]: iteration 4 : 5003 enodes (cost 196 ) 1.752 * [simplify]: Simplified to: (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3) (sqrt (* x 3.0)) (sqrt x) 1/2 1/2 1/2 (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3) (sqrt (* x 3.0)) (sqrt x) 1/2 1/2 1/2 (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3) (sqrt (* (* x 3.0) (* (cbrt x) (cbrt x)))) (sqrt (cbrt x)) 1/2 1/2 1/2 1/2 1/2 1/2 (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.752 * * * [progress]: adding candidates to table 1.912 * [progress]: [Phase 3 of 3] Extracting. 1.912 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.913 * * * [regime-changes]: Trying 2 branch expressions: ((* (* x 3.0) x) x) 1.913 * * * * [regimes]: Trying to branch on (* (* x 3.0) x) from (# # # # # # # #) 1.936 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.957 * * * [regime]: Found split indices: #