9.251 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* x x))) 0.019 * * [simplify]: iteration 0 : 24 enodes (cost 6 ) 0.019 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.019 * [simplify]: Simplified to: (sqrt (* x (+ x x))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.038 * [approximate]: Taking taylor expansion of (* x (sqrt 2)) in (x) around 0 0.038 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.038 * [taylor]: Taking taylor expansion of 2 in x 0.038 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.038 * [taylor]: Taking taylor expansion of 2 in x 0.039 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.040 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.040 * [taylor]: Taking taylor expansion of 2 in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.040 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.040 * [taylor]: Taking taylor expansion of 2 in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.041 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.041 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.041 * [taylor]: Taking taylor expansion of 2 in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.041 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.041 * [taylor]: Taking taylor expansion of 2 in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.042 * * * [progress]: simplifying candidates 0.042 * [simplify]: Simplifying using # : (log (sqrt (* x (+ x x)))) (exp (sqrt (* x (+ x x)))) (* (cbrt (sqrt (* x (+ x x)))) (cbrt (sqrt (* x (+ x x))))) (cbrt (sqrt (* x (+ x x)))) (* (* (sqrt (* x (+ x x))) (sqrt (* x (+ x x)))) (sqrt (* x (+ x x)))) (sqrt x) (sqrt (+ x x)) (sqrt (* x (+ (pow x 3) (pow x 3)))) (sqrt (+ (* x x) (- (* x x) (* x x)))) (sqrt (* x (- (* x x) (* x x)))) (sqrt (- x x)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* x (+ x x)))) (sqrt (sqrt (* x (+ x x)))) (* x (sqrt 2)) (* x (sqrt 2)) (* -1 (* x (sqrt 2))) 0.079 * * [simplify]: iteration 0 : 4726 enodes (cost 91 ) 0.079 * * [simplify]: iteration 1 : 4726 enodes (cost 91 ) 0.080 * [simplify]: Simplified to: (log (sqrt (* x (+ x x)))) (exp (sqrt (* x (+ x x)))) (* (cbrt (sqrt (* x (+ x x)))) (cbrt (sqrt (* x (+ x x))))) (cbrt (sqrt (* x (+ x x)))) (pow (sqrt (* x (+ x x))) 3) (sqrt x) (sqrt (+ x x)) (sqrt (* 2 (pow x 4))) (fabs x) (sqrt 0) (sqrt 0) 1/2 1/2 (sqrt (sqrt (* x (+ x x)))) (sqrt (sqrt (* x (+ x x)))) (* x (sqrt 2)) (* x (sqrt 2)) (* x (neg (sqrt 2))) 0.080 * * * [progress]: adding candidates to table 0.104 * * [progress]: iteration 2 / 4 0.104 * * * [progress]: picking best candidate 0.111 * * * * [pick]: Picked # 0.111 * * * [progress]: localizing error 0.114 * * * [progress]: generating rewritten candidates 0.115 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.122 * * * [progress]: generating series expansions 0.122 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.122 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.122 * [taylor]: Taking taylor expansion of -1 in x 0.122 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.122 * [taylor]: Taking taylor expansion of 2 in x 0.122 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.122 * [taylor]: Taking taylor expansion of -1 in x 0.122 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.122 * [taylor]: Taking taylor expansion of 2 in x 0.124 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in (x) around 0 0.124 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.124 * [taylor]: Taking taylor expansion of -1 in x 0.124 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.124 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.124 * [taylor]: Taking taylor expansion of 2 in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.124 * [taylor]: Taking taylor expansion of -1 in x 0.124 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.124 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.124 * [taylor]: Taking taylor expansion of 2 in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.125 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.125 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.125 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.125 * [taylor]: Taking taylor expansion of 2 in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.125 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.125 * [taylor]: Taking taylor expansion of 2 in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * * * [progress]: simplifying candidates 0.127 * [simplify]: Simplifying using # : (* x (neg (sqrt 2))) (+ (log x) (log (neg (sqrt 2)))) (log (* x (neg (sqrt 2)))) (exp (* x (neg (sqrt 2)))) (* (* (* x x) x) (* (* (neg (sqrt 2)) (neg (sqrt 2))) (neg (sqrt 2)))) (* (cbrt (* x (neg (sqrt 2)))) (cbrt (* x (neg (sqrt 2))))) (cbrt (* x (neg (sqrt 2)))) (* (* (* x (neg (sqrt 2))) (* x (neg (sqrt 2)))) (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* x (sqrt 2)) (* x (* (cbrt (neg (sqrt 2))) (cbrt (neg (sqrt 2))))) (* x (sqrt (neg (sqrt 2)))) (* x 1) (* x -1) (* x (neg (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* x (neg (sqrt (* (cbrt 2) (cbrt 2))))) (* x (neg (sqrt (sqrt 2)))) (* x (neg (sqrt 1))) (* x (neg (sqrt (sqrt 2)))) (* x (neg 1)) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (sqrt (* (cbrt 2) (cbrt 2)))) (* x (sqrt (sqrt 2))) (* x (sqrt 1)) (* x (sqrt (sqrt 2))) (* x 1) (* (cbrt x) (neg (sqrt 2))) (* (sqrt x) (neg (sqrt 2))) (* x (neg (sqrt 2))) (* -1 (* x (sqrt 2))) (* -1 (* x (sqrt 2))) (* -1 (* x (sqrt 2))) 0.173 * * [simplify]: iteration 0 : 4933 enodes (cost 196 ) 0.174 * * [simplify]: iteration 1 : 4933 enodes (cost 196 ) 0.175 * [simplify]: Simplified to: (* x (neg (sqrt 2))) (log (* x (neg (sqrt 2)))) (log (* x (neg (sqrt 2)))) (pow (exp x) (neg (sqrt 2))) (pow (* x (neg (sqrt 2))) 3) (* (cbrt (* x (neg (sqrt 2)))) (cbrt (* x (neg (sqrt 2))))) (cbrt (* x (neg (sqrt 2)))) (pow (* x (neg (sqrt 2))) 3) (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* x (sqrt 2)) (* x (* (cbrt (neg (sqrt 2))) (cbrt (neg (sqrt 2))))) (* x (sqrt (neg (sqrt 2)))) x (neg x) (* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2))))) (* x (neg (fabs (cbrt 2)))) (* x (neg (sqrt (sqrt 2)))) (neg x) (* x (neg (sqrt (sqrt 2)))) (neg x) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (fabs (cbrt 2))) (* x (sqrt (sqrt 2))) x (* x (sqrt (sqrt 2))) x (* (sqrt 2) (neg (cbrt x))) (* (sqrt 2) (neg (sqrt x))) (* x (neg (sqrt 2))) (* x (neg (sqrt 2))) (* x (neg (sqrt 2))) (* x (neg (sqrt 2))) 0.175 * * * [progress]: adding candidates to table 0.218 * * [progress]: iteration 3 / 4 0.218 * * * [progress]: picking best candidate 0.232 * * * * [pick]: Picked # 0.232 * * * [progress]: localizing error 0.238 * * * [progress]: generating rewritten candidates 0.238 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.246 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.253 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.263 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.270 * * * [progress]: generating series expansions 0.270 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.270 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in (x) around 0 0.270 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.270 * [taylor]: Taking taylor expansion of -1 in x 0.270 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.270 * [taylor]: Taking taylor expansion of 2 in x 0.270 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.271 * [taylor]: Taking taylor expansion of -1 in x 0.271 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.271 * [taylor]: Taking taylor expansion of 2 in x 0.272 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in (x) around 0 0.272 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.272 * [taylor]: Taking taylor expansion of -1 in x 0.272 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.272 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.272 * [taylor]: Taking taylor expansion of 2 in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.272 * [taylor]: Taking taylor expansion of -1 in x 0.272 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.272 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.272 * [taylor]: Taking taylor expansion of 2 in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.274 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.274 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.274 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.274 * [taylor]: Taking taylor expansion of 2 in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.274 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.274 * [taylor]: Taking taylor expansion of 2 in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.275 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in (x) around 0 0.275 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.275 * [taylor]: Taking taylor expansion of -1 in x 0.275 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.275 * [taylor]: Taking taylor expansion of 2 in x 0.275 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.275 * [taylor]: Taking taylor expansion of -1 in x 0.275 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.275 * [taylor]: Taking taylor expansion of 2 in x 0.277 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in (x) around 0 0.277 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.277 * [taylor]: Taking taylor expansion of -1 in x 0.277 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.277 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.277 * [taylor]: Taking taylor expansion of 2 in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.277 * [taylor]: Taking taylor expansion of -1 in x 0.277 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.277 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.277 * [taylor]: Taking taylor expansion of 2 in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.278 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.278 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.278 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.278 * [taylor]: Taking taylor expansion of 2 in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.278 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.278 * [taylor]: Taking taylor expansion of 2 in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.279 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (* x (sqrt 2)))) 2) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* x (sqrt 2)))) 2) in x 0.279 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt 2)))) in x 0.279 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.279 * [taylor]: Taking taylor expansion of -1 in x 0.279 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.280 * [taylor]: Taking taylor expansion of 2 in x 0.280 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* x (sqrt 2)))) 2) in x 0.280 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt 2)))) in x 0.280 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.280 * [taylor]: Taking taylor expansion of 2 in x 0.283 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (sqrt 2) x))) 2) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (sqrt 2) x))) 2) in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (sqrt 2) x))) in x 0.283 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.283 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.283 * [taylor]: Taking taylor expansion of 2 in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (sqrt 2) x))) 2) in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (sqrt 2) x))) in x 0.283 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.283 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.283 * [taylor]: Taking taylor expansion of 2 in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.286 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.286 * [taylor]: Taking taylor expansion of 2 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.286 * [taylor]: Taking taylor expansion of 2 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.287 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt 2)))) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt 2)))) in x 0.287 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.287 * [taylor]: Taking taylor expansion of 2 in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt 2)))) in x 0.287 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.288 * [taylor]: Taking taylor expansion of -1 in x 0.288 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.288 * [taylor]: Taking taylor expansion of 2 in x 0.289 * [approximate]: Taking taylor expansion of (sqrt (* -1 (/ (sqrt 2) x))) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (sqrt 2) x))) in x 0.289 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.289 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.289 * [taylor]: Taking taylor expansion of 2 in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (sqrt 2) x))) in x 0.289 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.289 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.289 * [taylor]: Taking taylor expansion of 2 in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.291 * [approximate]: Taking taylor expansion of (sqrt (/ (sqrt 2) x)) in (x) around 0 0.291 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2) x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.291 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.291 * [taylor]: Taking taylor expansion of 2 in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2) x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.291 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.291 * [taylor]: Taking taylor expansion of 2 in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * * * [progress]: simplifying candidates 0.294 * [simplify]: Simplifying using # : (* x (neg (sqrt 2))) (+ (log x) (log (neg (sqrt 2)))) (log (* x (neg (sqrt 2)))) (exp (* x (neg (sqrt 2)))) (* (* (* x x) x) (* (* (neg (sqrt 2)) (neg (sqrt 2))) (neg (sqrt 2)))) (* (cbrt (* x (neg (sqrt 2)))) (cbrt (* x (neg (sqrt 2))))) (cbrt (* x (neg (sqrt 2)))) (* (* (* x (neg (sqrt 2))) (* x (neg (sqrt 2)))) (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* x (sqrt 2)) (* x (* (cbrt (neg (sqrt 2))) (cbrt (neg (sqrt 2))))) (* x (sqrt (neg (sqrt 2)))) (* x 1) (* x -1) (* x (neg (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* x (neg (sqrt (* (cbrt 2) (cbrt 2))))) (* x (neg (sqrt (sqrt 2)))) (* x (neg (sqrt 1))) (* x (neg (sqrt (sqrt 2)))) (* x (neg 1)) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (sqrt (* (cbrt 2) (cbrt 2)))) (* x (sqrt (sqrt 2))) (* x (sqrt 1)) (* x (sqrt (sqrt 2))) (* x 1) (* (cbrt x) (neg (sqrt 2))) (* (sqrt x) (neg (sqrt 2))) (* x (neg (sqrt 2))) (* x (neg (sqrt 2))) (+ (log x) (log (neg (sqrt 2)))) (log (* x (neg (sqrt 2)))) (exp (* x (neg (sqrt 2)))) (* (* (* x x) x) (* (* (neg (sqrt 2)) (neg (sqrt 2))) (neg (sqrt 2)))) (* (cbrt (* x (neg (sqrt 2)))) (cbrt (* x (neg (sqrt 2))))) (cbrt (* x (neg (sqrt 2)))) (* (* (* x (neg (sqrt 2))) (* x (neg (sqrt 2)))) (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* x (sqrt 2)) (* x (* (cbrt (neg (sqrt 2))) (cbrt (neg (sqrt 2))))) (* x (sqrt (neg (sqrt 2)))) (* x 1) (* x -1) (* x (neg (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* x (neg (sqrt (* (cbrt 2) (cbrt 2))))) (* x (neg (sqrt (sqrt 2)))) (* x (neg (sqrt 1))) (* x (neg (sqrt (sqrt 2)))) (* x (neg 1)) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (sqrt (* (cbrt 2) (cbrt 2)))) (* x (sqrt (sqrt 2))) (* x (sqrt 1)) (* x (sqrt (sqrt 2))) (* x 1) (* (cbrt x) (neg (sqrt 2))) (* (sqrt x) (neg (sqrt 2))) (* x (neg (sqrt 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)) (* (* x (neg (sqrt 2))) (* x (neg (sqrt 2)))) (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2))))) (* (* x (neg (sqrt 2))) (* x (neg (sqrt 2)))) (* (* x (neg (sqrt 2))) (* x (neg (sqrt 2)))) (* (* x (neg (sqrt 2))) (* x (neg (sqrt 2)))) (* (* x (neg (sqrt 2))) (* x (neg (sqrt 2)))) (+ 1 1) (+ (log (sqrt (* x (neg (sqrt 2))))) (log (sqrt (* x (neg (sqrt 2)))))) (log (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))))) (exp (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))))) (* (* (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2))))) (sqrt (* x (neg (sqrt 2))))) (* (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2))))) (sqrt (* x (neg (sqrt 2)))))) (* (cbrt (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))))) (cbrt (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2))))))) (cbrt (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))))) (* (* (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2))))) (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))))) (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))))) (* (* x (neg (sqrt 2))) (* x (neg (sqrt 2)))) (sqrt (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))))) (sqrt (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))))) (* (* (cbrt (sqrt (* x (neg (sqrt 2))))) (cbrt (sqrt (* x (neg (sqrt 2)))))) (* (cbrt (sqrt (* x (neg (sqrt 2))))) (cbrt (sqrt (* x (neg (sqrt 2))))))) (* (cbrt (sqrt (* x (neg (sqrt 2))))) (cbrt (sqrt (* x (neg (sqrt 2)))))) (* (sqrt x) (sqrt x)) (* (sqrt (neg (sqrt 2))) (sqrt (neg (sqrt 2)))) (* (sqrt (sqrt (* x (neg (sqrt 2))))) (sqrt (sqrt (* x (neg (sqrt 2)))))) (* (sqrt (sqrt (* x (neg (sqrt 2))))) (sqrt (sqrt (* x (neg (sqrt 2)))))) (* 1 1) (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2))))) (* (sqrt (sqrt (* x (neg (sqrt 2))))) (sqrt (sqrt (* x (neg (sqrt 2)))))) (* (sqrt (sqrt (* x (neg (sqrt 2))))) (sqrt (sqrt (* x (neg (sqrt 2)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* (sqrt (* x (neg (sqrt 2)))) (* (cbrt (sqrt (* x (neg (sqrt 2))))) (cbrt (sqrt (* x (neg (sqrt 2))))))) (* (sqrt (* x (neg (sqrt 2)))) (sqrt x)) (* (sqrt (* x (neg (sqrt 2)))) (sqrt (sqrt (* x (neg (sqrt 2)))))) (* (sqrt (* x (neg (sqrt 2)))) 1) (* (cbrt (sqrt (* x (neg (sqrt 2))))) (sqrt (* x (neg (sqrt 2))))) (* (sqrt (neg (sqrt 2))) (sqrt (* x (neg (sqrt 2))))) (* (sqrt (sqrt (* x (neg (sqrt 2))))) (sqrt (* x (neg (sqrt 2))))) (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2))))) (log (sqrt (* x (neg (sqrt 2))))) (exp (sqrt (* x (neg (sqrt 2))))) (* (cbrt (sqrt (* x (neg (sqrt 2))))) (cbrt (sqrt (* x (neg (sqrt 2)))))) (cbrt (sqrt (* x (neg (sqrt 2))))) (* (* (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2))))) (sqrt (* x (neg (sqrt 2))))) (sqrt x) (sqrt (neg (sqrt 2))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* x (neg (sqrt 2))))) (sqrt (sqrt (* x (neg (sqrt 2))))) (* -1 (* x (sqrt 2))) (* -1 (* x (sqrt 2))) (* -1 (* x (sqrt 2))) (* -1 (* x (sqrt 2))) (* -1 (* x (sqrt 2))) (* -1 (* x (sqrt 2))) (+ (* 2 (* (pow x 3) (* (pow NAN 4) (pow (sqrt 2) 3)))) (+ (* 3 (* (pow x 4) (* (pow NAN 6) (pow (sqrt 2) 4)))) (* (pow x 2) (* (pow NAN 2) (pow (sqrt 2) 2))))) (+ (* 3 (/ (* (pow NAN 6) (pow (sqrt 2) 4)) (pow x 2))) (+ (* 2 (/ (* (pow NAN 4) (pow (sqrt 2) 3)) x)) (* (pow NAN 2) (pow (sqrt 2) 2)))) (* -1 (* x (sqrt 2))) (+ (* (pow x 3) (* (pow NAN 5) (pow (sqrt 2) 3))) (+ (* (pow x 2) (* (pow NAN 3) (pow (sqrt 2) 2))) (* x (* NAN (sqrt 2))))) (+ (/ (* (pow NAN 3) (pow (sqrt 2) 2)) x) (+ (/ (* (pow NAN 5) (pow (sqrt 2) 3)) (pow x 2)) (* NAN (sqrt 2)))) (- (+ (/ (* (pow NAN 5) (pow (sqrt 2) 3)) (pow x 2)) (* NAN (sqrt 2))) (/ (* (pow NAN 3) (pow (sqrt 2) 2)) x)) 0.343 * * [simplify]: iteration 0 : 4939 enodes (cost 834 ) 0.343 * * [simplify]: iteration 1 : 4939 enodes (cost 834 ) 0.347 * [simplify]: Simplified to: (* x (neg (sqrt 2))) (log (* x (neg (sqrt 2)))) (log (* x (neg (sqrt 2)))) (pow (exp x) (neg (sqrt 2))) (pow (* x (neg (sqrt 2))) 3) (* (cbrt (* x (neg (sqrt 2)))) (cbrt (* x (neg (sqrt 2))))) (cbrt (* x (neg (sqrt 2)))) (pow (* x (neg (sqrt 2))) 3) (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* x (sqrt 2)) (* x (* (cbrt (neg (sqrt 2))) (cbrt (neg (sqrt 2))))) (* x (sqrt (neg (sqrt 2)))) x (neg x) (* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2))))) (* x (neg (fabs (cbrt 2)))) (* x (neg (sqrt (sqrt 2)))) (neg x) (* x (neg (sqrt (sqrt 2)))) (neg x) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (fabs (cbrt 2))) (* x (sqrt (sqrt 2))) x (* x (sqrt (sqrt 2))) x (* (sqrt 2) (neg (cbrt x))) (* (sqrt 2) (neg (sqrt x))) (* x (neg (sqrt 2))) (* x (neg (sqrt 2))) (log (* x (neg (sqrt 2)))) (log (* x (neg (sqrt 2)))) (pow (exp x) (neg (sqrt 2))) (pow (* x (neg (sqrt 2))) 3) (* (cbrt (* x (neg (sqrt 2)))) (cbrt (* x (neg (sqrt 2))))) (cbrt (* x (neg (sqrt 2)))) (pow (* x (neg (sqrt 2))) 3) (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* x (sqrt 2)) (* x (* (cbrt (neg (sqrt 2))) (cbrt (neg (sqrt 2))))) (* x (sqrt (neg (sqrt 2)))) x (neg x) (* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2))))) (* x (neg (fabs (cbrt 2)))) (* x (neg (sqrt (sqrt 2)))) (neg x) (* x (neg (sqrt (sqrt 2)))) (neg x) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (fabs (cbrt 2))) (* x (sqrt (sqrt 2))) x (* x (sqrt (sqrt 2))) x (* (sqrt 2) (neg (cbrt x))) (* (sqrt 2) (neg (sqrt x))) (* x (neg (sqrt 2))) 1 1 1 2 1 1 1 1 1 1 (* x (* 2 x)) (* x (neg (sqrt 2))) (* x (* 2 x)) (* x (* 2 x)) (* x (* 2 x)) (* x (* 2 x)) 2 (log (* x (neg (sqrt 2)))) (log (* x (neg (sqrt 2)))) (pow (exp x) (neg (sqrt 2))) (pow (* x (neg (sqrt 2))) 3) (* (cbrt (* x (neg (sqrt 2)))) (cbrt (* x (neg (sqrt 2))))) (cbrt (* x (neg (sqrt 2)))) (pow (* x (neg (sqrt 2))) 3) (* x (* 2 x)) (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (pow (cbrt (sqrt (* x (neg (sqrt 2))))) 4) (* (cbrt (sqrt (* x (neg (sqrt 2))))) (cbrt (sqrt (* x (neg (sqrt 2)))))) x (neg (sqrt 2)) (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) 1 (* x (neg (sqrt 2))) (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) 1 2 1 1 1 1 (pow (cbrt (sqrt (* x (neg (sqrt 2))))) 5) (* (sqrt (* x (neg (sqrt 2)))) (sqrt x)) (pow (sqrt (sqrt (* x (neg (sqrt 2))))) 3) (sqrt (* x (neg (sqrt 2)))) (pow (cbrt (sqrt (* x (neg (sqrt 2))))) 4) (* (sqrt (* x (neg (sqrt 2)))) (sqrt (neg (sqrt 2)))) (pow (sqrt (sqrt (* x (neg (sqrt 2))))) 3) (* x (neg (sqrt 2))) (log (sqrt (* x (neg (sqrt 2))))) (exp (sqrt (* x (neg (sqrt 2))))) (* (cbrt (sqrt (* x (neg (sqrt 2))))) (cbrt (sqrt (* x (neg (sqrt 2)))))) (cbrt (sqrt (* x (neg (sqrt 2))))) (pow (sqrt (* x (neg (sqrt 2)))) 3) (sqrt x) (sqrt (neg (sqrt 2))) 1/2 1/2 (sqrt (sqrt (* x (neg (sqrt 2))))) (sqrt (sqrt (* x (neg (sqrt 2))))) (* x (neg (sqrt 2))) (* x (neg (sqrt 2))) (* x (neg (sqrt 2))) (* x (neg (sqrt 2))) (* x (neg (sqrt 2))) (* x (neg (sqrt 2))) (+ (* (pow x 4) (* 12 (pow NAN 6))) (* 2 (+ (* (pow NAN 4) (pow (* x (sqrt 2)) 3)) (* x (* x (* NAN NAN)))))) (+ (/ (* 12 (pow NAN 6)) (* x x)) (* 2 (+ (* NAN NAN) (* (pow NAN 4) (/ 2 (/ x (sqrt 2))))))) (* x (neg (sqrt 2))) (+ (* (pow NAN 5) (pow (* x (sqrt 2)) 3)) (* x (+ (* x (* 2 (pow NAN 3))) (* (sqrt 2) NAN)))) (+ (* (sqrt 2) NAN) (+ (* 2 (/ (pow NAN 3) x)) (* (* 2 (sqrt 2)) (/ (pow NAN 5) (* x x))))) (+ (* (sqrt 2) NAN) (+ (* (* 2 (sqrt 2)) (/ (pow NAN 5) (* x x))) (* -2 (/ (pow NAN 3) x)))) 0.348 * * * [progress]: adding candidates to table 0.526 * * [progress]: iteration 4 / 4 0.526 * * * [progress]: picking best candidate 0.540 * * * * [pick]: Picked # 0.540 * * * [progress]: localizing error 0.549 * * * [progress]: generating rewritten candidates 0.549 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.556 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 0.562 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.568 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.586 * * * [progress]: generating series expansions 0.586 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.586 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in (x) around 0 0.586 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.586 * [taylor]: Taking taylor expansion of -1 in x 0.586 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.586 * [taylor]: Taking taylor expansion of 2 in x 0.586 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.586 * [taylor]: Taking taylor expansion of -1 in x 0.586 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.586 * [taylor]: Taking taylor expansion of 2 in x 0.588 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in (x) around 0 0.588 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.588 * [taylor]: Taking taylor expansion of -1 in x 0.588 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.588 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.588 * [taylor]: Taking taylor expansion of 2 in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.588 * [taylor]: Taking taylor expansion of -1 in x 0.588 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.588 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.588 * [taylor]: Taking taylor expansion of 2 in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.589 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.589 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.589 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.589 * [taylor]: Taking taylor expansion of 2 in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.590 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.590 * [taylor]: Taking taylor expansion of 2 in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.591 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 0.591 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in (x) around 0 0.591 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.591 * [taylor]: Taking taylor expansion of 2 in x 0.591 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.591 * [taylor]: Taking taylor expansion of 2 in x 0.592 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in (x) around 0 0.592 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.592 * [taylor]: Taking taylor expansion of -1 in x 0.592 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.592 * [taylor]: Taking taylor expansion of 2 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.592 * [taylor]: Taking taylor expansion of -1 in x 0.592 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.592 * [taylor]: Taking taylor expansion of 2 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.594 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.594 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.594 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.594 * [taylor]: Taking taylor expansion of 2 in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.594 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.594 * [taylor]: Taking taylor expansion of 2 in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.597 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.597 * [approximate]: Taking taylor expansion of (pow (sqrt (sqrt (* -1 (* x (sqrt 2))))) 3) in (x) around 0 0.598 * [taylor]: Taking taylor expansion of (pow (sqrt (sqrt (* -1 (* x (sqrt 2))))) 3) in x 0.598 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* x (sqrt 2))))) in x 0.598 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt 2)))) in x 0.598 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.598 * [taylor]: Taking taylor expansion of -1 in x 0.598 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.598 * [taylor]: Taking taylor expansion of 2 in x 0.598 * [taylor]: Taking taylor expansion of (pow (sqrt (sqrt (* -1 (* x (sqrt 2))))) 3) in x 0.598 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* x (sqrt 2))))) in x 0.598 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt 2)))) in x 0.598 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.598 * [taylor]: Taking taylor expansion of -1 in x 0.598 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.598 * [taylor]: Taking taylor expansion of 2 in x 0.608 * [approximate]: Taking taylor expansion of (pow (sqrt (sqrt (* -1 (/ (sqrt 2) x)))) 3) in (x) around 0 0.608 * [taylor]: Taking taylor expansion of (pow (sqrt (sqrt (* -1 (/ (sqrt 2) x)))) 3) in x 0.608 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (/ (sqrt 2) x)))) in x 0.608 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (sqrt 2) x))) in x 0.608 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.608 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.608 * [taylor]: Taking taylor expansion of 2 in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (pow (sqrt (sqrt (* -1 (/ (sqrt 2) x)))) 3) in x 0.609 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (/ (sqrt 2) x)))) in x 0.609 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (sqrt 2) x))) in x 0.609 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.609 * [taylor]: Taking taylor expansion of -1 in x 0.609 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.609 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.609 * [taylor]: Taking taylor expansion of 2 in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.612 * [approximate]: Taking taylor expansion of (pow (pow (/ (sqrt 2) x) 1/4) 3) in (x) around 0 0.613 * [taylor]: Taking taylor expansion of (pow (pow (/ (sqrt 2) x) 1/4) 3) in x 0.613 * [taylor]: Taking taylor expansion of (pow (/ (sqrt 2) x) 1/4) in x 0.613 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (sqrt 2) x)))) in x 0.613 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (sqrt 2) x))) in x 0.613 * [taylor]: Taking taylor expansion of 1/4 in x 0.613 * [taylor]: Taking taylor expansion of (log (/ (sqrt 2) x)) in x 0.613 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.613 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.613 * [taylor]: Taking taylor expansion of 2 in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (pow (pow (/ (sqrt 2) x) 1/4) 3) in x 0.613 * [taylor]: Taking taylor expansion of (pow (/ (sqrt 2) x) 1/4) in x 0.613 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (sqrt 2) x)))) in x 0.613 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (sqrt 2) x))) in x 0.613 * [taylor]: Taking taylor expansion of 1/4 in x 0.613 * [taylor]: Taking taylor expansion of (log (/ (sqrt 2) x)) in x 0.613 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.613 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.613 * [taylor]: Taking taylor expansion of 2 in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.622 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.623 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (* x (sqrt 2)))) 2) in (x) around 0 0.623 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* x (sqrt 2)))) 2) in x 0.623 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt 2)))) in x 0.623 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.623 * [taylor]: Taking taylor expansion of 2 in x 0.623 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* x (sqrt 2)))) 2) in x 0.623 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt 2)))) in x 0.623 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 2))) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.623 * [taylor]: Taking taylor expansion of 2 in x 0.626 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (sqrt 2) x))) 2) in (x) around 0 0.626 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (sqrt 2) x))) 2) in x 0.626 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (sqrt 2) x))) in x 0.626 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.626 * [taylor]: Taking taylor expansion of -1 in x 0.626 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.626 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.626 * [taylor]: Taking taylor expansion of 2 in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (sqrt 2) x))) 2) in x 0.626 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (sqrt 2) x))) in x 0.626 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.626 * [taylor]: Taking taylor expansion of -1 in x 0.626 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.626 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.626 * [taylor]: Taking taylor expansion of 2 in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.629 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.629 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.629 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.629 * [taylor]: Taking taylor expansion of 2 in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.629 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.629 * [taylor]: Taking taylor expansion of 2 in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.630 * * * [progress]: simplifying candidates 0.632 * [simplify]: Simplifying using # : (* x (neg (sqrt 2))) (+ (log x) (log (neg (sqrt 2)))) (log (* x (neg (sqrt 2)))) (exp (* x (neg (sqrt 2)))) (* (* (* x x) x) (* (* (neg (sqrt 2)) (neg (sqrt 2))) (neg (sqrt 2)))) (* (cbrt (* x (neg (sqrt 2)))) (cbrt (* x (neg (sqrt 2))))) (cbrt (* x (neg (sqrt 2)))) (* (* (* x (neg (sqrt 2))) (* x (neg (sqrt 2)))) (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* x (sqrt 2)) (* x (* (cbrt (neg (sqrt 2))) (cbrt (neg (sqrt 2))))) (* x (sqrt (neg (sqrt 2)))) (* x 1) (* x -1) (* x (neg (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* x (neg (sqrt (* (cbrt 2) (cbrt 2))))) (* x (neg (sqrt (sqrt 2)))) (* x (neg (sqrt 1))) (* x (neg (sqrt (sqrt 2)))) (* x (neg 1)) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (sqrt (* (cbrt 2) (cbrt 2)))) (* x (sqrt (sqrt 2))) (* x (sqrt 1)) (* x (sqrt (sqrt 2))) (* x 1) (* (cbrt x) (neg (sqrt 2))) (* (sqrt x) (neg (sqrt 2))) (* x (neg (sqrt 2))) (* x (neg (sqrt 2))) (+ (log x) (log (neg (sqrt 2)))) (log (* x (neg (sqrt 2)))) (exp (* x (neg (sqrt 2)))) (* (* (* x x) x) (* (* (neg (sqrt 2)) (neg (sqrt 2))) (neg (sqrt 2)))) (* (cbrt (* x (neg (sqrt 2)))) (cbrt (* x (neg (sqrt 2))))) (cbrt (* x (neg (sqrt 2)))) (* (* (* x (neg (sqrt 2))) (* x (neg (sqrt 2)))) (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (sqrt (* x (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* (sqrt x) (sqrt (neg (sqrt 2)))) (* x (sqrt 2)) (* x (* (cbrt (neg (sqrt 2))) (cbrt (neg (sqrt 2))))) (* x (sqrt (neg (sqrt 2)))) (* x 1) (* x -1) (* x (neg (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* x (neg (sqrt (* (cbrt 2) (cbrt 2))))) (* x (neg (sqrt (sqrt 2)))) (* x (neg (sqrt 1))) (* x (neg (sqrt (sqrt 2)))) (* x (neg 1)) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (sqrt (* (cbrt 2) (cbrt 2)))) (* x (sqrt (sqrt 2))) (* x (sqrt 1)) (* x (sqrt (sqrt 2))) (* x 1) (* (cbrt x) (neg (sqrt 2))) (* (sqrt x) (neg (sqrt 2))) (* x (neg (sqrt 2))) (* (log (sqrt (sqrt (* x (neg (sqrt 2)))))) 3) (* (log (sqrt (sqrt (* x (neg (sqrt 2)))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (* x (neg (sqrt 2))))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (* x (neg (sqrt 2))))) (sqrt 3)) (pow (sqrt (sqrt (* x (neg (sqrt 2))))) 1) (pow (* (cbrt (sqrt (sqrt (* x (neg (sqrt 2)))))) (cbrt (sqrt (sqrt (* x (neg (sqrt 2))))))) 3) (pow (cbrt (sqrt (sqrt (* x (neg (sqrt 2)))))) 3) (pow (sqrt (* (cbrt (sqrt (* x (neg (sqrt 2))))) (cbrt (sqrt (* 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[progress]: adding candidates to table 0.950 * [progress]: [Phase 3 of 3] Extracting. 0.950 * * [regime]: Finding splitpoints for: (# # # # # # # #) 0.951 * * * [regime-changes]: Trying 1 branch expressions: (x) 0.951 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.002 * * * [regime]: Found split indices: #