1.965 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) 0.029 * [simplify]: Sending expressions to egg_math: (- (* (- (* h0 h0) (* h1 h1)) h0) (* (+ (* h0 h1) (* h1 h0)) h1)) 0.032 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.033 * * [simplify]: iteration 1 : 55 enodes (cost 9 ) 0.035 * * [simplify]: iteration 2 : 150 enodes (cost 9 ) 0.038 * * [simplify]: iteration 3 : 401 enodes (cost 6 ) 0.047 * * [simplify]: iteration 4 : 1088 enodes (cost 5 ) 0.066 * * [simplify]: iteration 5 : 2704 enodes (cost 5 ) 0.113 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.113 * [simplify]: Simplified to: (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.119 * * * * [pick]: Picked # 0.119 * * * [progress]: localizing error 0.126 * * * [progress]: generating rewritten candidates 0.126 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.166 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.181 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.223 * * * [progress]: generating series expansions 0.223 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.223 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.223 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.223 * [taylor]: Taking taylor expansion of 3 in x.re 0.223 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.223 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.223 * [taylor]: Taking taylor expansion of x.im in x.re 0.223 * [taylor]: Taking taylor expansion of x.re in x.re 0.223 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.224 * [taylor]: Taking taylor expansion of 3 in x.im 0.224 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.224 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.224 * [taylor]: Taking taylor expansion of x.im in x.im 0.224 * [taylor]: Taking taylor expansion of x.re in x.im 0.224 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.224 * [taylor]: Taking taylor expansion of 3 in x.im 0.224 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.224 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.224 * [taylor]: Taking taylor expansion of x.im in x.im 0.224 * [taylor]: Taking taylor expansion of x.re in x.im 0.224 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.224 * [taylor]: Taking taylor expansion of 3 in x.re 0.224 * [taylor]: Taking taylor expansion of x.re in x.re 0.226 * [taylor]: Taking taylor expansion of 0 in x.re 0.227 * [taylor]: Taking taylor expansion of 0 in x.re 0.230 * [taylor]: Taking taylor expansion of 0 in x.re 0.230 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.230 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.230 * [taylor]: Taking taylor expansion of 3 in x.re 0.230 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.230 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.230 * [taylor]: Taking taylor expansion of x.im in x.re 0.230 * [taylor]: Taking taylor expansion of x.re in x.re 0.231 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.231 * [taylor]: Taking taylor expansion of 3 in x.im 0.231 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.231 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.231 * [taylor]: Taking taylor expansion of x.im in x.im 0.231 * [taylor]: Taking taylor expansion of x.re in x.im 0.231 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.231 * [taylor]: Taking taylor expansion of 3 in x.im 0.231 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.231 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.231 * [taylor]: Taking taylor expansion of x.im in x.im 0.231 * [taylor]: Taking taylor expansion of x.re in x.im 0.231 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.231 * [taylor]: Taking taylor expansion of 3 in x.re 0.231 * [taylor]: Taking taylor expansion of x.re in x.re 0.232 * [taylor]: Taking taylor expansion of 0 in x.re 0.234 * [taylor]: Taking taylor expansion of 0 in x.re 0.235 * [taylor]: Taking taylor expansion of 0 in x.re 0.236 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.236 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.236 * [taylor]: Taking taylor expansion of -3 in x.re 0.236 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.236 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.236 * [taylor]: Taking taylor expansion of x.im in x.re 0.236 * [taylor]: Taking taylor expansion of x.re in x.re 0.237 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.237 * [taylor]: Taking taylor expansion of -3 in x.im 0.237 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.237 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.237 * [taylor]: Taking taylor expansion of x.im in x.im 0.237 * [taylor]: Taking taylor expansion of x.re in x.im 0.237 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.237 * [taylor]: Taking taylor expansion of -3 in x.im 0.237 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.237 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.237 * [taylor]: Taking taylor expansion of x.im in x.im 0.237 * [taylor]: Taking taylor expansion of x.re in x.im 0.238 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.238 * [taylor]: Taking taylor expansion of -3 in x.re 0.238 * [taylor]: Taking taylor expansion of x.re in x.re 0.239 * [taylor]: Taking taylor expansion of 0 in x.re 0.240 * [taylor]: Taking taylor expansion of 0 in x.re 0.242 * [taylor]: Taking taylor expansion of 0 in x.re 0.242 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.243 * [approximate]: Taking taylor expansion of (* (pow x.im 2) x.re) in (x.im x.re) around 0 0.243 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.243 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.243 * [taylor]: Taking taylor expansion of x.im in x.re 0.243 * [taylor]: Taking taylor expansion of x.re in x.re 0.243 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.243 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.243 * [taylor]: Taking taylor expansion of x.im in x.im 0.243 * [taylor]: Taking taylor expansion of x.re in x.im 0.243 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.243 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.243 * [taylor]: Taking taylor expansion of x.im in x.im 0.243 * [taylor]: Taking taylor expansion of x.re in x.im 0.243 * [taylor]: Taking taylor expansion of x.re in x.re 0.244 * [taylor]: Taking taylor expansion of 0 in x.re 0.245 * [taylor]: Taking taylor expansion of 0 in x.re 0.246 * [taylor]: Taking taylor expansion of 0 in x.re 0.246 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.246 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.246 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.246 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.246 * [taylor]: Taking taylor expansion of x.im in x.re 0.246 * [taylor]: Taking taylor expansion of x.re in x.re 0.247 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.247 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.247 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.247 * [taylor]: Taking taylor expansion of x.im in x.im 0.247 * [taylor]: Taking taylor expansion of x.re in x.im 0.247 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.247 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.247 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.247 * [taylor]: Taking taylor expansion of x.im in x.im 0.247 * [taylor]: Taking taylor expansion of x.re in x.im 0.247 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 0.247 * [taylor]: Taking taylor expansion of x.re in x.re 0.248 * [taylor]: Taking taylor expansion of 0 in x.re 0.250 * [taylor]: Taking taylor expansion of 0 in x.re 0.251 * [taylor]: Taking taylor expansion of 0 in x.re 0.252 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.252 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.re 0.252 * [taylor]: Taking taylor expansion of -1 in x.re 0.252 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.252 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.252 * [taylor]: Taking taylor expansion of x.im in x.re 0.252 * [taylor]: Taking taylor expansion of x.re in x.re 0.253 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.253 * [taylor]: Taking taylor expansion of -1 in x.im 0.253 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.253 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.253 * [taylor]: Taking taylor expansion of x.im in x.im 0.253 * [taylor]: Taking taylor expansion of x.re in x.im 0.253 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x.im 2) x.re)) in x.im 0.253 * [taylor]: Taking taylor expansion of -1 in x.im 0.253 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.253 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.253 * [taylor]: Taking taylor expansion of x.im in x.im 0.253 * [taylor]: Taking taylor expansion of x.re in x.im 0.253 * [taylor]: Taking taylor expansion of (/ -1 x.re) in x.re 0.253 * [taylor]: Taking taylor expansion of -1 in x.re 0.254 * [taylor]: Taking taylor expansion of x.re in x.re 0.254 * [taylor]: Taking taylor expansion of 0 in x.re 0.256 * [taylor]: Taking taylor expansion of 0 in x.re 0.258 * [taylor]: Taking taylor expansion of 0 in x.re 0.258 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.259 * [approximate]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in (x.re x.im) around 0 0.259 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.im 0.259 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.259 * [taylor]: Taking taylor expansion of x.re in x.im 0.259 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.259 * [taylor]: Taking taylor expansion of 3 in x.im 0.259 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.259 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.259 * [taylor]: Taking taylor expansion of x.im in x.im 0.259 * [taylor]: Taking taylor expansion of x.re in x.im 0.259 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.re 0.259 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.259 * [taylor]: Taking taylor expansion of x.re in x.re 0.259 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.259 * [taylor]: Taking taylor expansion of 3 in x.re 0.259 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.259 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.259 * [taylor]: Taking taylor expansion of x.im in x.re 0.259 * [taylor]: Taking taylor expansion of x.re in x.re 0.259 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.re 0.259 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.259 * [taylor]: Taking taylor expansion of x.re in x.re 0.259 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.259 * [taylor]: Taking taylor expansion of 3 in x.re 0.259 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.259 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.259 * [taylor]: Taking taylor expansion of x.im in x.re 0.259 * [taylor]: Taking taylor expansion of x.re in x.re 0.260 * [taylor]: Taking taylor expansion of 0 in x.im 0.261 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.261 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.261 * [taylor]: Taking taylor expansion of 3 in x.im 0.261 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.261 * [taylor]: Taking taylor expansion of x.im in x.im 0.262 * [taylor]: Taking taylor expansion of 0 in x.im 0.265 * [taylor]: Taking taylor expansion of 1 in x.im 0.268 * [taylor]: Taking taylor expansion of 0 in x.im 0.270 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in (x.re x.im) around 0 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.im 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 0.270 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.270 * [taylor]: Taking taylor expansion of x.re in x.im 0.270 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.270 * [taylor]: Taking taylor expansion of 3 in x.im 0.270 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.270 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.270 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.270 * [taylor]: Taking taylor expansion of x.im in x.im 0.270 * [taylor]: Taking taylor expansion of x.re in x.im 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.re 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.270 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.270 * [taylor]: Taking taylor expansion of x.re in x.re 0.271 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.271 * [taylor]: Taking taylor expansion of 3 in x.re 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.271 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.271 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.271 * [taylor]: Taking taylor expansion of x.im in x.re 0.271 * [taylor]: Taking taylor expansion of x.re in x.re 0.271 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.re 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.271 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.271 * [taylor]: Taking taylor expansion of x.re in x.re 0.272 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.272 * [taylor]: Taking taylor expansion of 3 in x.re 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.272 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.272 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.272 * [taylor]: Taking taylor expansion of x.im in x.re 0.272 * [taylor]: Taking taylor expansion of x.re in x.re 0.273 * [taylor]: Taking taylor expansion of 1 in x.im 0.274 * [taylor]: Taking taylor expansion of 0 in x.im 0.276 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.276 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.276 * [taylor]: Taking taylor expansion of 3 in x.im 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.276 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.276 * [taylor]: Taking taylor expansion of x.im in x.im 0.280 * [taylor]: Taking taylor expansion of 0 in x.im 0.285 * [taylor]: Taking taylor expansion of 0 in x.im 0.287 * [approximate]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in (x.re x.im) around 0 0.287 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.im 0.287 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.287 * [taylor]: Taking taylor expansion of 3 in x.im 0.287 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.287 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.287 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.287 * [taylor]: Taking taylor expansion of x.im in x.im 0.287 * [taylor]: Taking taylor expansion of x.re in x.im 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 0.287 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.287 * [taylor]: Taking taylor expansion of x.re in x.im 0.287 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.re 0.287 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.287 * [taylor]: Taking taylor expansion of 3 in x.re 0.287 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.287 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.287 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.287 * [taylor]: Taking taylor expansion of x.im in x.re 0.288 * [taylor]: Taking taylor expansion of x.re in x.re 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.288 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.288 * [taylor]: Taking taylor expansion of x.re in x.re 0.289 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.re 0.289 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.289 * [taylor]: Taking taylor expansion of 3 in x.re 0.289 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.289 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.289 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.289 * [taylor]: Taking taylor expansion of x.im in x.re 0.289 * [taylor]: Taking taylor expansion of x.re in x.re 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.289 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.289 * [taylor]: Taking taylor expansion of x.re in x.re 0.290 * [taylor]: Taking taylor expansion of -1 in x.im 0.292 * [taylor]: Taking taylor expansion of 0 in x.im 0.293 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.293 * [taylor]: Taking taylor expansion of 3 in x.im 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.294 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.294 * [taylor]: Taking taylor expansion of x.im in x.im 0.297 * [taylor]: Taking taylor expansion of 0 in x.im 0.304 * [taylor]: Taking taylor expansion of 0 in x.im 0.306 * * * [progress]: simplifying candidates 0.307 * [simplify]: Simplifying using # : (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (+ (log 3) (+ (log x.im) (+ (log x.re) (log x.im)))) (+ (log 3) (+ (log x.im) (log (* x.re x.im)))) (+ (log 3) (log (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (exp (* 3 (* x.im (* x.re x.im)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im)))) (* (* (* 3 3) 3) (* (* (* x.im (* x.re x.im)) (* x.im (* x.re x.im))) (* x.im (* x.re x.im)))) (* (cbrt (* 3 (* x.im (* x.re x.im)))) (cbrt (* 3 (* x.im (* x.re x.im))))) (cbrt (* 3 (* x.im (* x.re x.im)))) (* (* (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im)))) (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.im))) (* (sqrt 3) (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (+ (log x.im) (+ (log x.re) (log x.im))) (+ (log x.im) (log (* x.re x.im))) (log (* x.im (* x.re x.im))) (exp (* x.im (* x.re x.im))) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* x.im x.im) x.im) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (cbrt (* x.im (* x.re x.im))) (cbrt (* x.im (* x.re x.im)))) (cbrt (* x.im (* x.re x.im))) (* (* (* x.im (* x.re x.im)) (* x.im (* x.re x.im))) (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (* x.im x.re) (* (cbrt x.im) (* x.re x.im)) (* (sqrt x.im) (* x.re x.im)) (* x.im (* x.re x.im)) (/ (exp (pow x.re 3)) (exp (* 3 (* x.im (* x.re x.im))))) (log (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (exp (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (* (cbrt (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (cbrt (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))))) (cbrt (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (* (* (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (sqrt (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (sqrt (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (- (pow (pow x.re 3) 3) (pow (* 3 (* x.im (* x.re x.im))) 3)) (+ (* (pow x.re 3) (pow x.re 3)) (+ (* (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im)))) (* (pow x.re 3) (* 3 (* x.im (* x.re x.im)))))) (- (* 3 (* x.im (* x.re x.im)))) (- (* (pow x.re 3) (pow x.re 3)) (* (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))))) (+ (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) (- (* 3 (* x.im (* x.re x.im)))) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) (* (pow x.im 2) x.re) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 0.307 * [simplify]: Sending expressions to egg_math: (* 3 (* h0 (* h1 h0))) (* 3 (* h0 (* h1 h0))) (* 3 (* h0 (* h1 h0))) (+ (log 3) (+ (log h0) (+ (log h1) (log h0)))) (+ (log 3) (+ (log h0) (log (* h1 h0)))) (+ (log 3) (log (* h0 (* h1 h0)))) (log (* 3 (* h0 (* h1 h0)))) (exp (* 3 (* h0 (* h1 h0)))) (* (* (* 3 3) 3) (* (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h0 h0) h0)))) (* (* (* 3 3) 3) (* (* (* h0 h0) h0) (* (* (* h1 h0) (* h1 h0)) (* h1 h0)))) (* (* (* 3 3) 3) (* (* (* h0 (* h1 h0)) (* h0 (* h1 h0))) (* h0 (* h1 h0)))) (* (cbrt (* 3 (* h0 (* h1 h0)))) (cbrt (* 3 (* h0 (* h1 h0))))) (cbrt (* 3 (* h0 (* h1 h0)))) (* (* (* 3 (* h0 (* h1 h0))) (* 3 (* h0 (* h1 h0)))) (* 3 (* h0 (* h1 h0)))) (sqrt (* 3 (* h0 (* h1 h0)))) (sqrt (* 3 (* h0 (* h1 h0)))) (* 3 h0) (* (cbrt 3) (* h0 (* h1 h0))) (* (sqrt 3) (* h0 (* h1 h0))) (* 3 (* h0 (* h1 h0))) (* h0 (* h1 h0)) (* h0 (* h1 h0)) (+ (log h0) (+ (log h1) (log h0))) (+ (log h0) (log (* h1 h0))) (log (* h0 (* h1 h0))) (exp (* h0 (* h1 h0))) (* (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* h0 h0) h0) (* (* (* h1 h0) (* h1 h0)) (* h1 h0))) (* (cbrt (* h0 (* h1 h0))) (cbrt (* h0 (* h1 h0)))) (cbrt (* h0 (* h1 h0))) (* (* (* h0 (* h1 h0)) (* h0 (* h1 h0))) (* h0 (* h1 h0))) (sqrt (* h0 (* h1 h0))) (sqrt (* h0 (* h1 h0))) (* h0 h1) (* (cbrt h0) (* h1 h0)) (* (sqrt h0) (* h1 h0)) (* h0 (* h1 h0)) (/ (exp (pow h1 3)) (exp (* 3 (* h0 (* h1 h0))))) (log (- (pow h1 3) (* 3 (* h0 (* h1 h0))))) (exp (- (pow h1 3) (* 3 (* h0 (* h1 h0))))) (* (cbrt (- (pow h1 3) (* 3 (* h0 (* h1 h0))))) (cbrt (- (pow h1 3) (* 3 (* h0 (* h1 h0)))))) (cbrt (- (pow h1 3) (* 3 (* h0 (* h1 h0))))) (* (* (- (pow h1 3) (* 3 (* h0 (* h1 h0)))) (- (pow h1 3) (* 3 (* h0 (* h1 h0))))) (- (pow h1 3) (* 3 (* h0 (* h1 h0))))) (sqrt (- (pow h1 3) (* 3 (* h0 (* h1 h0))))) (sqrt (- (pow h1 3) (* 3 (* h0 (* h1 h0))))) (- (pow (pow h1 3) 3) (pow (* 3 (* h0 (* h1 h0))) 3)) (+ (* (pow h1 3) (pow h1 3)) (+ (* (* 3 (* h0 (* h1 h0))) (* 3 (* h0 (* h1 h0)))) (* (pow h1 3) (* 3 (* h0 (* h1 h0)))))) (- (* 3 (* h0 (* h1 h0)))) (- (* (pow h1 3) (pow h1 3)) (* (* 3 (* h0 (* h1 h0))) (* 3 (* h0 (* h1 h0))))) (+ (pow h1 3) (* 3 (* h0 (* h1 h0)))) (- (* 3 (* h0 (* h1 h0)))) (* 3 (* (pow h0 2) h1)) (* 3 (* (pow h0 2) h1)) (* 3 (* (pow h0 2) h1)) (* (pow h0 2) h1) (* (pow h0 2) h1) (* (pow h0 2) h1) (- (pow h1 3) (* 3 (* (pow h0 2) h1))) (- (pow h1 3) (* 3 (* (pow h0 2) h1))) (- (pow h1 3) (* 3 (* (pow h0 2) h1))) 0.311 * * [simplify]: iteration 0 : 209 enodes (cost 292 ) 0.316 * * [simplify]: iteration 1 : 846 enodes (cost 253 ) 0.341 * * [simplify]: iteration 2 : 5002 enodes (cost 253 ) 0.343 * [simplify]: Simplified to: (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (log (* 3 (* x.im (* x.re x.im)))) (exp (* 3 (* x.im (* x.re x.im)))) (pow (* 3 (* x.im (* x.re x.im))) 3) (pow (* 3 (* x.im (* x.re x.im))) 3) (pow (* 3 (* x.im (* x.re x.im))) 3) (* (cbrt (* 3 (* x.im (* x.re x.im)))) (cbrt (* 3 (* x.im (* x.re x.im))))) (cbrt (* 3 (* x.im (* x.re x.im)))) (pow (* 3 (* x.im (* x.re x.im))) 3) (sqrt (* 3 (* x.im (* x.re x.im)))) (sqrt (* 3 (* x.im (* x.re x.im)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.im))) (* (sqrt 3) (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (log (* x.im (* x.re x.im))) (log (* x.im (* x.re x.im))) (log (* x.im (* x.re x.im))) (exp (* x.im (* x.re x.im))) (pow (* x.im (* x.re x.im)) 3) (pow (* x.im (* x.re x.im)) 3) (* (cbrt (* x.im (* x.re x.im))) (cbrt (* x.im (* x.re x.im)))) (cbrt (* x.im (* x.re x.im))) (pow (* x.im (* x.re x.im)) 3) (sqrt (* x.im (* x.re x.im))) (sqrt (* x.im (* x.re x.im))) (* x.re x.im) (* (cbrt x.im) (* x.re x.im)) (* (sqrt x.im) (* x.re x.im)) (* x.im (* x.re x.im)) (exp (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (log (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (exp (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (* (cbrt (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (cbrt (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))))) (cbrt (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (pow (- (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) 3) (sqrt (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (sqrt (- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))) (- (pow (pow x.re 3) 3) (pow (* 3 (* x.im (* x.re x.im))) 3)) (+ (* (* 3 (* x.im (* x.re x.im))) (+ (* 3 (* x.im (* x.re x.im))) (pow x.re 3))) (pow x.re 6)) (- (* 3 (* x.im (* x.re x.im)))) (+ (pow x.re 6) (- (* 9 (* (* x.im (* x.re x.im)) (* x.im (* x.re x.im)))))) (+ (pow x.re 3) (* 3 (* x.im (* x.re x.im)))) (- (* 3 (* x.im (* x.re x.im)))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* 3 (* x.im (* x.re x.im))) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (* x.im (* x.re x.im)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 0.343 * * * [progress]: adding candidates to table 0.424 * * [progress]: iteration 2 / 4 0.424 * * * [progress]: picking best candidate 0.438 * * * * [pick]: Picked # 0.438 * * * [progress]: localizing error 0.445 * * * [progress]: generating rewritten candidates 0.446 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.471 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.503 * * * [progress]: generating series expansions 0.503 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.503 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.503 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.503 * [taylor]: Taking taylor expansion of 3 in x.re 0.503 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.503 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.503 * [taylor]: Taking taylor expansion of x.im in x.re 0.504 * [taylor]: Taking taylor expansion of x.re in x.re 0.504 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.504 * [taylor]: Taking taylor expansion of 3 in x.im 0.504 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.504 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.504 * [taylor]: Taking taylor expansion of x.im in x.im 0.504 * [taylor]: Taking taylor expansion of x.re in x.im 0.504 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.504 * [taylor]: Taking taylor expansion of 3 in x.im 0.504 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.504 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.504 * [taylor]: Taking taylor expansion of x.im in x.im 0.504 * [taylor]: Taking taylor expansion of x.re in x.im 0.504 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.504 * [taylor]: Taking taylor expansion of 3 in x.re 0.504 * [taylor]: Taking taylor expansion of x.re in x.re 0.505 * [taylor]: Taking taylor expansion of 0 in x.re 0.507 * [taylor]: Taking taylor expansion of 0 in x.re 0.509 * [taylor]: Taking taylor expansion of 0 in x.re 0.510 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.510 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.510 * [taylor]: Taking taylor expansion of 3 in x.re 0.510 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.510 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.510 * [taylor]: Taking taylor expansion of x.im in x.re 0.510 * [taylor]: Taking taylor expansion of x.re in x.re 0.510 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.510 * [taylor]: Taking taylor expansion of 3 in x.im 0.510 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.510 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.510 * [taylor]: Taking taylor expansion of x.im in x.im 0.510 * [taylor]: Taking taylor expansion of x.re in x.im 0.511 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.511 * [taylor]: Taking taylor expansion of 3 in x.im 0.511 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.511 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.511 * [taylor]: Taking taylor expansion of x.im in x.im 0.511 * [taylor]: Taking taylor expansion of x.re in x.im 0.511 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.511 * [taylor]: Taking taylor expansion of 3 in x.re 0.511 * [taylor]: Taking taylor expansion of x.re in x.re 0.512 * [taylor]: Taking taylor expansion of 0 in x.re 0.513 * [taylor]: Taking taylor expansion of 0 in x.re 0.515 * [taylor]: Taking taylor expansion of 0 in x.re 0.516 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.516 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.516 * [taylor]: Taking taylor expansion of -3 in x.re 0.516 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.516 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.516 * [taylor]: Taking taylor expansion of x.im in x.re 0.516 * [taylor]: Taking taylor expansion of x.re in x.re 0.517 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.517 * [taylor]: Taking taylor expansion of -3 in x.im 0.517 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.517 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.517 * [taylor]: Taking taylor expansion of x.im in x.im 0.517 * [taylor]: Taking taylor expansion of x.re in x.im 0.517 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.517 * [taylor]: Taking taylor expansion of -3 in x.im 0.517 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.517 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.517 * [taylor]: Taking taylor expansion of x.im in x.im 0.517 * [taylor]: Taking taylor expansion of x.re in x.im 0.518 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.518 * [taylor]: Taking taylor expansion of -3 in x.re 0.518 * [taylor]: Taking taylor expansion of x.re in x.re 0.519 * [taylor]: Taking taylor expansion of 0 in x.re 0.520 * [taylor]: Taking taylor expansion of 0 in x.re 0.522 * [taylor]: Taking taylor expansion of 0 in x.re 0.522 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.523 * [approximate]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in (x.re x.im) around 0 0.523 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.im 0.523 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.523 * [taylor]: Taking taylor expansion of x.re in x.im 0.523 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.523 * [taylor]: Taking taylor expansion of 3 in x.im 0.523 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.523 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.523 * [taylor]: Taking taylor expansion of x.im in x.im 0.523 * [taylor]: Taking taylor expansion of x.re in x.im 0.523 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.re 0.523 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.523 * [taylor]: Taking taylor expansion of x.re in x.re 0.523 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.523 * [taylor]: Taking taylor expansion of 3 in x.re 0.523 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.523 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.523 * [taylor]: Taking taylor expansion of x.im in x.re 0.523 * [taylor]: Taking taylor expansion of x.re in x.re 0.523 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.re 0.523 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.523 * [taylor]: Taking taylor expansion of x.re in x.re 0.523 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.523 * [taylor]: Taking taylor expansion of 3 in x.re 0.523 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.523 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.523 * [taylor]: Taking taylor expansion of x.im in x.re 0.523 * [taylor]: Taking taylor expansion of x.re in x.re 0.524 * [taylor]: Taking taylor expansion of 0 in x.im 0.525 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.525 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.525 * [taylor]: Taking taylor expansion of 3 in x.im 0.525 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.525 * [taylor]: Taking taylor expansion of x.im in x.im 0.526 * [taylor]: Taking taylor expansion of 0 in x.im 0.529 * [taylor]: Taking taylor expansion of 1 in x.im 0.532 * [taylor]: Taking taylor expansion of 0 in x.im 0.534 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in (x.re x.im) around 0 0.534 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.im 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 0.534 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.534 * [taylor]: Taking taylor expansion of x.re in x.im 0.534 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.534 * [taylor]: Taking taylor expansion of 3 in x.im 0.534 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.534 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.534 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.534 * [taylor]: Taking taylor expansion of x.im in x.im 0.534 * [taylor]: Taking taylor expansion of x.re in x.im 0.534 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.re 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.534 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.534 * [taylor]: Taking taylor expansion of x.re in x.re 0.535 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.535 * [taylor]: Taking taylor expansion of 3 in x.re 0.535 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.535 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.535 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.535 * [taylor]: Taking taylor expansion of x.im in x.re 0.535 * [taylor]: Taking taylor expansion of x.re in x.re 0.536 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.re 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.536 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.536 * [taylor]: Taking taylor expansion of x.re in x.re 0.536 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.536 * [taylor]: Taking taylor expansion of 3 in x.re 0.536 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.536 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.536 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.536 * [taylor]: Taking taylor expansion of x.im in x.re 0.536 * [taylor]: Taking taylor expansion of x.re in x.re 0.537 * [taylor]: Taking taylor expansion of 1 in x.im 0.538 * [taylor]: Taking taylor expansion of 0 in x.im 0.540 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.540 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.540 * [taylor]: Taking taylor expansion of 3 in x.im 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.540 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.540 * [taylor]: Taking taylor expansion of x.im in x.im 0.544 * [taylor]: Taking taylor expansion of 0 in x.im 0.549 * [taylor]: Taking taylor expansion of 0 in x.im 0.551 * [approximate]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in (x.re x.im) around 0 0.551 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.im 0.551 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.551 * [taylor]: Taking taylor expansion of 3 in x.im 0.551 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.551 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.551 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.551 * [taylor]: Taking taylor expansion of x.im in x.im 0.551 * [taylor]: Taking taylor expansion of x.re in x.im 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 0.551 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.551 * [taylor]: Taking taylor expansion of x.re in x.im 0.552 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.re 0.552 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.552 * [taylor]: Taking taylor expansion of 3 in x.re 0.552 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.552 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.552 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.552 * [taylor]: Taking taylor expansion of x.im in x.re 0.552 * [taylor]: Taking taylor expansion of x.re in x.re 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.552 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.552 * [taylor]: Taking taylor expansion of x.re in x.re 0.553 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.re 0.553 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.553 * [taylor]: Taking taylor expansion of 3 in x.re 0.553 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.553 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.553 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.553 * [taylor]: Taking taylor expansion of x.im in x.re 0.553 * [taylor]: Taking taylor expansion of x.re in x.re 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.554 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.554 * [taylor]: Taking taylor expansion of x.re in x.re 0.555 * [taylor]: Taking taylor expansion of -1 in x.im 0.556 * [taylor]: Taking taylor expansion of 0 in x.im 0.558 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.558 * [taylor]: Taking taylor expansion of 3 in x.im 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.558 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.558 * [taylor]: Taking taylor expansion of x.im in x.im 0.561 * [taylor]: Taking taylor expansion of 0 in x.im 0.566 * [taylor]: Taking taylor expansion of 0 in x.im 0.568 * * * [progress]: simplifying candidates 0.568 * [simplify]: Simplifying using # : (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (+ (+ (log 3) (log x.im)) (+ (log x.re) (log x.im))) (+ (+ (log 3) (log x.im)) (log (* x.re x.im))) (+ (log (* 3 x.im)) (+ (log x.re) (log x.im))) (+ (log (* 3 x.im)) (log (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (exp (* (* 3 x.im) (* x.re x.im))) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* (* x.re x.re) x.re) (* (* x.im x.im) x.im))) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* (* x.re x.im) (* x.re x.im)) (* x.re x.im))) (* (cbrt (* (* 3 x.im) (* x.re x.im))) (cbrt (* (* 3 x.im) (* x.re x.im)))) (cbrt (* (* 3 x.im) (* x.re x.im))) (* (* (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) (* x.re x.im))) (sqrt (* (* 3 x.im) (* x.re x.im))) (sqrt (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) x.re) (* x.im (* x.re x.im)) (/ (exp (pow x.re 3)) (exp (* (* 3 x.im) (* x.re x.im)))) (log (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (exp (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (* (cbrt (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (cbrt (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im))))) (cbrt (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (* (* (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im))) (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (sqrt (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (sqrt (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (- (pow (pow x.re 3) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3)) (+ (* (pow x.re 3) (pow x.re 3)) (+ (* (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im))) (* (pow x.re 3) (* (* 3 x.im) (* x.re x.im))))) (- (* (* 3 x.im) (* x.re x.im))) (- (* (pow x.re 3) (pow x.re 3)) (* (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)))) (+ (pow x.re 3) (* (* 3 x.im) (* x.re x.im))) (- (* (* 3 x.im) (* x.re x.im))) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 0.568 * [simplify]: Sending expressions to egg_math: (* (* 3 h0) (* h1 h0)) (* (* 3 h0) (* h1 h0)) (* (* 3 h0) (* h1 h0)) (* (* 3 h0) (* h1 h0)) (+ (+ (log 3) (log h0)) (+ (log h1) (log h0))) (+ (+ (log 3) (log h0)) (log (* h1 h0))) (+ (log (* 3 h0)) (+ (log h1) (log h0))) (+ (log (* 3 h0)) (log (* h1 h0))) (log (* (* 3 h0) (* h1 h0))) (exp (* (* 3 h0) (* h1 h0))) (* (* (* (* 3 3) 3) (* (* h0 h0) h0)) (* (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* (* 3 3) 3) (* (* h0 h0) h0)) (* (* (* h1 h0) (* h1 h0)) (* h1 h0))) (* (* (* (* 3 h0) (* 3 h0)) (* 3 h0)) (* (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* (* 3 h0) (* 3 h0)) (* 3 h0)) (* (* (* h1 h0) (* h1 h0)) (* h1 h0))) (* (cbrt (* (* 3 h0) (* h1 h0))) (cbrt (* (* 3 h0) (* h1 h0)))) (cbrt (* (* 3 h0) (* h1 h0))) (* (* (* (* 3 h0) (* h1 h0)) (* (* 3 h0) (* h1 h0))) (* (* 3 h0) (* h1 h0))) (sqrt (* (* 3 h0) (* h1 h0))) (sqrt (* (* 3 h0) (* h1 h0))) (* (* 3 h0) h1) (* h0 (* h1 h0)) (/ (exp (pow h1 3)) (exp (* (* 3 h0) (* h1 h0)))) (log (- (pow h1 3) (* (* 3 h0) (* h1 h0)))) (exp (- (pow h1 3) (* (* 3 h0) (* h1 h0)))) (* (cbrt (- (pow h1 3) (* (* 3 h0) (* h1 h0)))) (cbrt (- (pow h1 3) (* (* 3 h0) (* h1 h0))))) (cbrt (- (pow h1 3) (* (* 3 h0) (* h1 h0)))) (* (* (- (pow h1 3) (* (* 3 h0) (* h1 h0))) (- (pow h1 3) (* (* 3 h0) (* h1 h0)))) (- (pow h1 3) (* (* 3 h0) (* h1 h0)))) (sqrt (- (pow h1 3) (* (* 3 h0) (* h1 h0)))) (sqrt (- (pow h1 3) (* (* 3 h0) (* h1 h0)))) (- (pow (pow h1 3) 3) (pow (* (* 3 h0) (* h1 h0)) 3)) (+ (* (pow h1 3) (pow h1 3)) (+ (* (* (* 3 h0) (* h1 h0)) (* (* 3 h0) (* h1 h0))) (* (pow h1 3) (* (* 3 h0) (* h1 h0))))) (- (* (* 3 h0) (* h1 h0))) (- (* (pow h1 3) (pow h1 3)) (* (* (* 3 h0) (* h1 h0)) (* (* 3 h0) (* h1 h0)))) (+ (pow h1 3) (* (* 3 h0) (* h1 h0))) (- (* (* 3 h0) (* h1 h0))) (* 3 (* (pow h0 2) h1)) (* 3 (* (pow h0 2) h1)) (* 3 (* (pow h0 2) h1)) (- (pow h1 3) (* 3 (* (pow h0 2) h1))) (- (pow h1 3) (* 3 (* (pow h0 2) h1))) (- (pow h1 3) (* 3 (* (pow h0 2) h1))) 0.572 * * [simplify]: iteration 0 : 193 enodes (cost 231 ) 0.577 * * [simplify]: iteration 1 : 907 enodes (cost 200 ) 0.605 * * [simplify]: iteration 2 : 5001 enodes (cost 200 ) 0.606 * [simplify]: Simplified to: (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (log (* (* 3 x.im) (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (log (* (* 3 x.im) (* x.re x.im))) (exp (* (* 3 x.im) (* x.re x.im))) (pow (* (* 3 x.im) (* x.re x.im)) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3) (* (cbrt (* (* 3 x.im) (* x.re x.im))) (cbrt (* (* 3 x.im) (* x.re x.im)))) (cbrt (* (* 3 x.im) (* x.re x.im))) (pow (* (* 3 x.im) (* x.re x.im)) 3) (sqrt (* (* 3 x.im) (* x.re x.im))) (sqrt (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) x.re) (* x.im (* x.re x.im)) (exp (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (log (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (exp (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (* (cbrt (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (cbrt (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im))))) (cbrt (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (pow (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im))) 3) (sqrt (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (sqrt (- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))) (- (pow (pow x.re 3) 3) (pow (* (* 3 x.im) (* x.re x.im)) 3)) (+ (* (* (* 3 x.im) (* x.re x.im)) (+ (* (* 3 x.im) (* x.re x.im)) (pow x.re 3))) (pow x.re 6)) (- (* (* 3 x.im) (* x.re x.im))) (+ (pow x.re 6) (- (* (* 9 (pow x.im 2)) (* (* x.re x.im) (* x.re x.im))))) (+ (pow x.re 3) (* (* 3 x.im) (* x.re x.im))) (- (* (* 3 x.im) (* x.re x.im))) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (* (* 3 x.im) (* x.re x.im)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 0.606 * * * [progress]: adding candidates to table 0.656 * * [progress]: iteration 3 / 4 0.656 * * * [progress]: picking best candidate 0.667 * * * * [pick]: Picked # 0.667 * * * [progress]: localizing error 0.674 * * * [progress]: generating rewritten candidates 0.674 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.691 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.742 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.795 * * * [progress]: generating series expansions 0.795 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.795 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.795 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.795 * [taylor]: Taking taylor expansion of 3 in x.re 0.796 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.796 * [taylor]: Taking taylor expansion of x.im in x.re 0.796 * [taylor]: Taking taylor expansion of x.re in x.re 0.796 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.796 * [taylor]: Taking taylor expansion of 3 in x.im 0.796 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.796 * [taylor]: Taking taylor expansion of x.im in x.im 0.796 * [taylor]: Taking taylor expansion of x.re in x.im 0.796 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.796 * [taylor]: Taking taylor expansion of 3 in x.im 0.796 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.796 * [taylor]: Taking taylor expansion of x.im in x.im 0.796 * [taylor]: Taking taylor expansion of x.re in x.im 0.796 * [taylor]: Taking taylor expansion of 0 in x.re 0.797 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.797 * [taylor]: Taking taylor expansion of 3 in x.re 0.797 * [taylor]: Taking taylor expansion of x.re in x.re 0.798 * [taylor]: Taking taylor expansion of 0 in x.re 0.799 * [taylor]: Taking taylor expansion of 0 in x.re 0.802 * [taylor]: Taking taylor expansion of 0 in x.re 0.802 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.802 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.802 * [taylor]: Taking taylor expansion of 3 in x.re 0.802 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.802 * [taylor]: Taking taylor expansion of x.im in x.re 0.802 * [taylor]: Taking taylor expansion of x.re in x.re 0.802 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.802 * [taylor]: Taking taylor expansion of 3 in x.im 0.802 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.802 * [taylor]: Taking taylor expansion of x.im in x.im 0.802 * [taylor]: Taking taylor expansion of x.re in x.im 0.802 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.802 * [taylor]: Taking taylor expansion of 3 in x.im 0.802 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.802 * [taylor]: Taking taylor expansion of x.im in x.im 0.803 * [taylor]: Taking taylor expansion of x.re in x.im 0.803 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.803 * [taylor]: Taking taylor expansion of 3 in x.re 0.803 * [taylor]: Taking taylor expansion of x.re in x.re 0.804 * [taylor]: Taking taylor expansion of 0 in x.re 0.805 * [taylor]: Taking taylor expansion of 0 in x.re 0.806 * [taylor]: Taking taylor expansion of 0 in x.re 0.807 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.807 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.807 * [taylor]: Taking taylor expansion of 3 in x.re 0.807 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.807 * [taylor]: Taking taylor expansion of x.im in x.re 0.807 * [taylor]: Taking taylor expansion of x.re in x.re 0.807 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.807 * [taylor]: Taking taylor expansion of 3 in x.im 0.807 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.807 * [taylor]: Taking taylor expansion of x.im in x.im 0.807 * [taylor]: Taking taylor expansion of x.re in x.im 0.808 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.808 * [taylor]: Taking taylor expansion of 3 in x.im 0.808 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.808 * [taylor]: Taking taylor expansion of x.im in x.im 0.808 * [taylor]: Taking taylor expansion of x.re in x.im 0.808 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.808 * [taylor]: Taking taylor expansion of 3 in x.re 0.808 * [taylor]: Taking taylor expansion of x.re in x.re 0.809 * [taylor]: Taking taylor expansion of 0 in x.re 0.810 * [taylor]: Taking taylor expansion of 0 in x.re 0.811 * [taylor]: Taking taylor expansion of 0 in x.re 0.812 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.812 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.812 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.812 * [taylor]: Taking taylor expansion of 3 in x.re 0.812 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.812 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.812 * [taylor]: Taking taylor expansion of x.im in x.re 0.812 * [taylor]: Taking taylor expansion of x.re in x.re 0.812 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.812 * [taylor]: Taking taylor expansion of 3 in x.im 0.812 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.812 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.812 * [taylor]: Taking taylor expansion of x.im in x.im 0.812 * [taylor]: Taking taylor expansion of x.re in x.im 0.812 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.812 * [taylor]: Taking taylor expansion of 3 in x.im 0.813 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.813 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.813 * [taylor]: Taking taylor expansion of x.im in x.im 0.813 * [taylor]: Taking taylor expansion of x.re in x.im 0.813 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.813 * [taylor]: Taking taylor expansion of 3 in x.re 0.813 * [taylor]: Taking taylor expansion of x.re in x.re 0.814 * [taylor]: Taking taylor expansion of 0 in x.re 0.816 * [taylor]: Taking taylor expansion of 0 in x.re 0.818 * [taylor]: Taking taylor expansion of 0 in x.re 0.818 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.818 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 0.818 * [taylor]: Taking taylor expansion of 3 in x.re 0.818 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.818 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.818 * [taylor]: Taking taylor expansion of x.im in x.re 0.818 * [taylor]: Taking taylor expansion of x.re in x.re 0.819 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.819 * [taylor]: Taking taylor expansion of 3 in x.im 0.819 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.819 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.819 * [taylor]: Taking taylor expansion of x.im in x.im 0.819 * [taylor]: Taking taylor expansion of x.re in x.im 0.819 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 0.819 * [taylor]: Taking taylor expansion of 3 in x.im 0.819 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.819 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.819 * [taylor]: Taking taylor expansion of x.im in x.im 0.819 * [taylor]: Taking taylor expansion of x.re in x.im 0.820 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.820 * [taylor]: Taking taylor expansion of 3 in x.re 0.820 * [taylor]: Taking taylor expansion of x.re in x.re 0.821 * [taylor]: Taking taylor expansion of 0 in x.re 0.822 * [taylor]: Taking taylor expansion of 0 in x.re 0.824 * [taylor]: Taking taylor expansion of 0 in x.re 0.825 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 0.825 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 0.825 * [taylor]: Taking taylor expansion of -3 in x.re 0.825 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.825 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.825 * [taylor]: Taking taylor expansion of x.im in x.re 0.825 * [taylor]: Taking taylor expansion of x.re in x.re 0.825 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.825 * [taylor]: Taking taylor expansion of -3 in x.im 0.825 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.825 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.825 * [taylor]: Taking taylor expansion of x.im in x.im 0.825 * [taylor]: Taking taylor expansion of x.re in x.im 0.826 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 0.826 * [taylor]: Taking taylor expansion of -3 in x.im 0.826 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.826 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.826 * [taylor]: Taking taylor expansion of x.im in x.im 0.826 * [taylor]: Taking taylor expansion of x.re in x.im 0.826 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 0.826 * [taylor]: Taking taylor expansion of -3 in x.re 0.826 * [taylor]: Taking taylor expansion of x.re in x.re 0.827 * [taylor]: Taking taylor expansion of 0 in x.re 0.828 * [taylor]: Taking taylor expansion of 0 in x.re 0.830 * [taylor]: Taking taylor expansion of 0 in x.re 0.831 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.831 * [approximate]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in (x.re x.im) around 0 0.831 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.im 0.831 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.831 * [taylor]: Taking taylor expansion of x.re in x.im 0.831 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 0.831 * [taylor]: Taking taylor expansion of 3 in x.im 0.831 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.831 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.831 * [taylor]: Taking taylor expansion of x.im in x.im 0.831 * [taylor]: Taking taylor expansion of x.re in x.im 0.831 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.re 0.831 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.831 * [taylor]: Taking taylor expansion of x.re in x.re 0.831 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.831 * [taylor]: Taking taylor expansion of 3 in x.re 0.831 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.831 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.831 * [taylor]: Taking taylor expansion of x.im in x.re 0.831 * [taylor]: Taking taylor expansion of x.re in x.re 0.831 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.re 0.831 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.831 * [taylor]: Taking taylor expansion of x.re in x.re 0.831 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 0.832 * [taylor]: Taking taylor expansion of 3 in x.re 0.832 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.832 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.832 * [taylor]: Taking taylor expansion of x.im in x.re 0.832 * [taylor]: Taking taylor expansion of x.re in x.re 0.832 * [taylor]: Taking taylor expansion of 0 in x.im 0.833 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 0.833 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 0.833 * [taylor]: Taking taylor expansion of 3 in x.im 0.833 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.833 * [taylor]: Taking taylor expansion of x.im in x.im 0.835 * [taylor]: Taking taylor expansion of 0 in x.im 0.837 * [taylor]: Taking taylor expansion of 1 in x.im 0.841 * [taylor]: Taking taylor expansion of 0 in x.im 0.842 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in (x.re x.im) around 0 0.843 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.im 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 0.843 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.843 * [taylor]: Taking taylor expansion of x.re in x.im 0.843 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.843 * [taylor]: Taking taylor expansion of 3 in x.im 0.843 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.843 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.843 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.843 * [taylor]: Taking taylor expansion of x.im in x.im 0.843 * [taylor]: Taking taylor expansion of x.re in x.im 0.843 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.re 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.843 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.843 * [taylor]: Taking taylor expansion of x.re in x.re 0.844 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.844 * [taylor]: Taking taylor expansion of 3 in x.re 0.844 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.844 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.844 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.844 * [taylor]: Taking taylor expansion of x.im in x.re 0.844 * [taylor]: Taking taylor expansion of x.re in x.re 0.844 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.re 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.844 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.844 * [taylor]: Taking taylor expansion of x.re in x.re 0.845 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.845 * [taylor]: Taking taylor expansion of 3 in x.re 0.845 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.845 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.845 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.845 * [taylor]: Taking taylor expansion of x.im in x.re 0.845 * [taylor]: Taking taylor expansion of x.re in x.re 0.846 * [taylor]: Taking taylor expansion of 1 in x.im 0.847 * [taylor]: Taking taylor expansion of 0 in x.im 0.849 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 0.849 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.849 * [taylor]: Taking taylor expansion of 3 in x.im 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.849 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.849 * [taylor]: Taking taylor expansion of x.im in x.im 0.853 * [taylor]: Taking taylor expansion of 0 in x.im 0.858 * [taylor]: Taking taylor expansion of 0 in x.im 0.862 * [approximate]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in (x.re x.im) around 0 0.863 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.im 0.863 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 0.863 * [taylor]: Taking taylor expansion of 3 in x.im 0.863 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 0.863 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 0.863 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.863 * [taylor]: Taking taylor expansion of x.im in x.im 0.863 * [taylor]: Taking taylor expansion of x.re in x.im 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 0.863 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 0.863 * [taylor]: Taking taylor expansion of x.re in x.im 0.863 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.re 0.863 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.863 * [taylor]: Taking taylor expansion of 3 in x.re 0.863 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.863 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.863 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.863 * [taylor]: Taking taylor expansion of x.im in x.re 0.863 * [taylor]: Taking taylor expansion of x.re in x.re 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.864 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.864 * [taylor]: Taking taylor expansion of x.re in x.re 0.864 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.re 0.864 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 0.864 * [taylor]: Taking taylor expansion of 3 in x.re 0.864 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 0.864 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 0.864 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 0.865 * [taylor]: Taking taylor expansion of x.im in x.re 0.865 * [taylor]: Taking taylor expansion of x.re in x.re 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 0.865 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 0.865 * [taylor]: Taking taylor expansion of x.re in x.re 0.866 * [taylor]: Taking taylor expansion of -1 in x.im 0.868 * [taylor]: Taking taylor expansion of 0 in x.im 0.869 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 0.869 * [taylor]: Taking taylor expansion of 3 in x.im 0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 0.869 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 0.869 * [taylor]: Taking taylor expansion of x.im in x.im 0.873 * [taylor]: Taking taylor expansion of 0 in x.im 0.878 * [taylor]: Taking taylor expansion of 0 in x.im 0.880 * * * [progress]: simplifying candidates 0.880 * [simplify]: Simplifying using # : (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (+ (+ (log 3) (log x.im)) (log x.re)) (+ (log (* 3 x.im)) (log x.re)) (log (* (* 3 x.im) x.re)) (exp (* (* 3 x.im) x.re)) (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* x.re x.re) x.re)) (* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re))) (cbrt (* (* 3 x.im) x.re)) (* (* (* (* 3 x.im) x.re) (* (* 3 x.im) x.re)) (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (* (* 3 x.im) (* (cbrt x.re) (cbrt x.re))) (* (* 3 x.im) (sqrt x.re)) (* (* 3 x.im) 1) (* x.im x.re) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (+ (+ (+ (log 3) (log x.im)) (log x.re)) (log x.im)) (+ (+ (log (* 3 x.im)) (log x.re)) (log x.im)) (+ (log (* (* 3 x.im) x.re)) (log x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (exp (* (* (* 3 x.im) x.re) x.im)) (* (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.im)) (* (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* x.re x.re) x.re)) (* (* x.im x.im) x.im)) (* (* (* (* (* 3 x.im) x.re) (* (* 3 x.im) x.re)) (* (* 3 x.im) x.re)) (* (* x.im x.im) x.im)) (* (cbrt (* (* (* 3 x.im) x.re) x.im)) (cbrt (* (* (* 3 x.im) x.re) x.im))) (cbrt (* (* (* 3 x.im) x.re) x.im)) (* (* (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im)) (* (* (* 3 x.im) x.re) x.im)) (sqrt (* (* (* 3 x.im) x.re) x.im)) (sqrt (* (* (* 3 x.im) x.re) x.im)) (* (* (* 3 x.im) x.re) (* (cbrt x.im) (cbrt x.im))) (* (* (* 3 x.im) x.re) (sqrt x.im)) (* (* (* 3 x.im) x.re) 1) (* x.re x.im) (/ (exp (pow x.re 3)) (exp (* (* (* 3 x.im) x.re) x.im))) (log (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (exp (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (* (cbrt (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (cbrt (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im)))) (cbrt (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (* (* (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im)) (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (sqrt (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (sqrt (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (- (pow (pow x.re 3) 3) (pow (* (* (* 3 x.im) x.re) x.im) 3)) (+ (* (pow x.re 3) (pow x.re 3)) (+ (* (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im)) (* (pow x.re 3) (* (* (* 3 x.im) x.re) x.im)))) (- (* (* (* 3 x.im) x.re) x.im)) (- (* (pow x.re 3) (pow x.re 3)) (* (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im))) (+ (pow x.re 3) (* (* (* 3 x.im) x.re) x.im)) (- (* (* (* 3 x.im) x.re) x.im)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 0.881 * [simplify]: Sending expressions to egg_math: (* (* 3 h0) h1) (* (* 3 h0) h1) (+ (+ (log 3) (log h0)) (log h1)) (+ (log (* 3 h0)) (log h1)) (log (* (* 3 h0) h1)) (exp (* (* 3 h0) h1)) (* (* (* (* 3 3) 3) (* (* h0 h0) h0)) (* (* h1 h1) h1)) (* (* (* (* 3 h0) (* 3 h0)) (* 3 h0)) (* (* h1 h1) h1)) (* (cbrt (* (* 3 h0) h1)) (cbrt (* (* 3 h0) h1))) (cbrt (* (* 3 h0) h1)) (* (* (* (* 3 h0) h1) (* (* 3 h0) h1)) (* (* 3 h0) h1)) (sqrt (* (* 3 h0) h1)) (sqrt (* (* 3 h0) h1)) (* (* 3 h0) (* (cbrt h1) (cbrt h1))) (* (* 3 h0) (sqrt h1)) (* (* 3 h0) 1) (* h0 h1) (* (* (* 3 h0) h1) h0) (* (* (* 3 h0) h1) h0) (* (* (* 3 h0) h1) h0) (+ (+ (+ (log 3) (log h0)) (log h1)) (log h0)) (+ (+ (log (* 3 h0)) (log h1)) (log h0)) (+ (log (* (* 3 h0) h1)) (log h0)) (log (* (* (* 3 h0) h1) h0)) (exp (* (* (* 3 h0) h1) h0)) (* (* (* (* (* 3 3) 3) (* (* h0 h0) h0)) (* (* h1 h1) h1)) (* (* h0 h0) h0)) (* (* (* (* (* 3 h0) (* 3 h0)) (* 3 h0)) (* (* h1 h1) h1)) (* (* h0 h0) h0)) (* (* (* (* (* 3 h0) h1) (* (* 3 h0) h1)) (* (* 3 h0) h1)) (* (* h0 h0) h0)) (* (cbrt (* (* (* 3 h0) h1) h0)) (cbrt (* (* (* 3 h0) h1) h0))) (cbrt (* (* (* 3 h0) h1) h0)) (* (* (* (* (* 3 h0) h1) h0) (* (* (* 3 h0) h1) h0)) (* (* (* 3 h0) h1) h0)) (sqrt (* (* (* 3 h0) h1) h0)) (sqrt (* (* (* 3 h0) h1) h0)) (* (* (* 3 h0) h1) (* (cbrt h0) (cbrt h0))) (* (* (* 3 h0) h1) (sqrt h0)) (* (* (* 3 h0) h1) 1) (* h1 h0) (/ (exp (pow h1 3)) (exp (* (* (* 3 h0) h1) h0))) (log (- (pow h1 3) (* (* (* 3 h0) h1) h0))) (exp (- (pow h1 3) (* (* (* 3 h0) h1) h0))) (* (cbrt (- (pow h1 3) (* (* (* 3 h0) h1) h0))) (cbrt (- (pow h1 3) (* (* (* 3 h0) h1) h0)))) (cbrt (- (pow h1 3) (* (* (* 3 h0) h1) h0))) (* (* (- (pow h1 3) (* (* (* 3 h0) h1) h0)) (- (pow h1 3) (* (* (* 3 h0) h1) h0))) (- (pow h1 3) (* (* (* 3 h0) h1) h0))) (sqrt (- (pow h1 3) (* (* (* 3 h0) h1) h0))) (sqrt (- (pow h1 3) (* (* (* 3 h0) h1) h0))) (- (pow (pow h1 3) 3) (pow (* (* (* 3 h0) h1) h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (+ (* (* (* (* 3 h0) h1) h0) (* (* (* 3 h0) h1) h0)) (* (pow h1 3) (* (* (* 3 h0) h1) h0)))) (- (* (* (* 3 h0) h1) h0)) (- (* (pow h1 3) (pow h1 3)) (* (* (* (* 3 h0) h1) h0) (* (* (* 3 h0) h1) h0))) (+ (pow h1 3) (* (* (* 3 h0) h1) h0)) (- (* (* (* 3 h0) h1) h0)) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* (pow h0 2) h1)) (* 3 (* (pow h0 2) h1)) (* 3 (* (pow h0 2) h1)) (- (pow h1 3) (* 3 (* (pow h0 2) h1))) (- (pow h1 3) (* 3 (* (pow h0 2) h1))) (- (pow h1 3) (* 3 (* (pow h0 2) h1))) 0.884 * * [simplify]: iteration 0 : 230 enodes (cost 290 ) 0.890 * * [simplify]: iteration 1 : 1308 enodes (cost 255 ) 0.926 * * [simplify]: iteration 2 : 5001 enodes (cost 255 ) 0.927 * [simplify]: Simplified to: (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (log (* (* 3 x.im) x.re)) (log (* (* 3 x.im) x.re)) (log (* (* 3 x.im) x.re)) (exp (* (* 3 x.im) x.re)) (pow (* (* 3 x.im) x.re) 3) (pow (* (* 3 x.im) x.re) 3) (* (cbrt (* (* 3 x.im) x.re)) (cbrt (* (* 3 x.im) x.re))) (cbrt (* (* 3 x.im) x.re)) (pow (* (* 3 x.im) x.re) 3) (sqrt (* (* 3 x.im) x.re)) (sqrt (* (* 3 x.im) x.re)) (* (* 3 x.im) (* (cbrt x.re) (cbrt x.re))) (* (* 3 x.im) (sqrt x.re)) (* 3 x.im) (* x.im x.re) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (log (* (* (* 3 x.im) x.re) x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (log (* (* (* 3 x.im) x.re) x.im)) (exp (* (* (* 3 x.im) x.re) x.im)) (pow (* (* (* 3 x.im) x.re) x.im) 3) (pow (* (* (* 3 x.im) x.re) x.im) 3) (pow (* (* (* 3 x.im) x.re) x.im) 3) (* (cbrt (* (* (* 3 x.im) x.re) x.im)) (cbrt (* (* (* 3 x.im) x.re) x.im))) (cbrt (* (* (* 3 x.im) x.re) x.im)) (pow (* (* (* 3 x.im) x.re) x.im) 3) (sqrt (* (* (* 3 x.im) x.re) x.im)) (sqrt (* (* (* 3 x.im) x.re) x.im)) (* (* (* 3 x.im) x.re) (* (cbrt x.im) (cbrt x.im))) (* (* (* 3 x.im) x.re) (sqrt x.im)) (* (* 3 x.im) x.re) (* x.im x.re) (exp (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (log (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (exp (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (* (cbrt (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (cbrt (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im)))) (cbrt (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (pow (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im)) 3) (sqrt (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (sqrt (- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))) (- (pow (pow x.re 3) 3) (pow (* (* (* 3 x.im) x.re) x.im) 3)) (+ (* (* (* (* 3 x.im) x.re) x.im) (+ (* (* (* 3 x.im) x.re) x.im) (pow x.re 3))) (pow x.re 6)) (- (* (* (* 3 x.im) x.re) x.im)) (+ (pow x.re 6) (- (* (* (* 9 (pow x.im 2)) (* x.re x.re)) (pow x.im 2)))) (+ (pow x.re 3) (* (* (* 3 x.im) x.re) x.im)) (- (* (* (* 3 x.im) x.re) x.im)) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (* (* (* 3 x.im) x.re) x.im) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 0.928 * * * [progress]: adding candidates to table 1.008 * * [progress]: iteration 4 / 4 1.008 * * * [progress]: picking best candidate 1.018 * * * * [pick]: Picked # 1.018 * * * [progress]: localizing error 1.025 * * * [progress]: generating rewritten candidates 1.025 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 1.041 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.086 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.133 * * * [progress]: generating series expansions 1.133 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 1.133 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 1.133 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 1.133 * [taylor]: Taking taylor expansion of 3 in x.re 1.133 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.133 * [taylor]: Taking taylor expansion of x.im in x.re 1.133 * [taylor]: Taking taylor expansion of x.re in x.re 1.133 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 1.133 * [taylor]: Taking taylor expansion of 3 in x.im 1.133 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.133 * [taylor]: Taking taylor expansion of x.im in x.im 1.133 * [taylor]: Taking taylor expansion of x.re in x.im 1.133 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 1.133 * [taylor]: Taking taylor expansion of 3 in x.im 1.133 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.133 * [taylor]: Taking taylor expansion of x.im in x.im 1.133 * [taylor]: Taking taylor expansion of x.re in x.im 1.134 * [taylor]: Taking taylor expansion of 0 in x.re 1.134 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 1.134 * [taylor]: Taking taylor expansion of 3 in x.re 1.134 * [taylor]: Taking taylor expansion of x.re in x.re 1.135 * [taylor]: Taking taylor expansion of 0 in x.re 1.137 * [taylor]: Taking taylor expansion of 0 in x.re 1.139 * [taylor]: Taking taylor expansion of 0 in x.re 1.139 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 1.139 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 1.139 * [taylor]: Taking taylor expansion of 3 in x.re 1.139 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.139 * [taylor]: Taking taylor expansion of x.im in x.re 1.139 * [taylor]: Taking taylor expansion of x.re in x.re 1.140 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.140 * [taylor]: Taking taylor expansion of 3 in x.im 1.140 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.140 * [taylor]: Taking taylor expansion of x.im in x.im 1.140 * [taylor]: Taking taylor expansion of x.re in x.im 1.140 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.140 * [taylor]: Taking taylor expansion of 3 in x.im 1.140 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.140 * [taylor]: Taking taylor expansion of x.im in x.im 1.140 * [taylor]: Taking taylor expansion of x.re in x.im 1.140 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 1.140 * [taylor]: Taking taylor expansion of 3 in x.re 1.140 * [taylor]: Taking taylor expansion of x.re in x.re 1.141 * [taylor]: Taking taylor expansion of 0 in x.re 1.142 * [taylor]: Taking taylor expansion of 0 in x.re 1.144 * [taylor]: Taking taylor expansion of 0 in x.re 1.144 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 1.144 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 1.144 * [taylor]: Taking taylor expansion of 3 in x.re 1.144 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.145 * [taylor]: Taking taylor expansion of x.im in x.re 1.145 * [taylor]: Taking taylor expansion of x.re in x.re 1.145 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.145 * [taylor]: Taking taylor expansion of 3 in x.im 1.145 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.145 * [taylor]: Taking taylor expansion of x.im in x.im 1.145 * [taylor]: Taking taylor expansion of x.re in x.im 1.145 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.145 * [taylor]: Taking taylor expansion of 3 in x.im 1.145 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.145 * [taylor]: Taking taylor expansion of x.im in x.im 1.145 * [taylor]: Taking taylor expansion of x.re in x.im 1.146 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 1.146 * [taylor]: Taking taylor expansion of 3 in x.re 1.146 * [taylor]: Taking taylor expansion of x.re in x.re 1.146 * [taylor]: Taking taylor expansion of 0 in x.re 1.148 * [taylor]: Taking taylor expansion of 0 in x.re 1.149 * [taylor]: Taking taylor expansion of 0 in x.re 1.150 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.150 * [approximate]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 1.150 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 1.150 * [taylor]: Taking taylor expansion of 3 in x.re 1.150 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.150 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.150 * [taylor]: Taking taylor expansion of x.im in x.re 1.150 * [taylor]: Taking taylor expansion of x.re in x.re 1.150 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 1.150 * [taylor]: Taking taylor expansion of 3 in x.im 1.150 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.150 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.150 * [taylor]: Taking taylor expansion of x.im in x.im 1.150 * [taylor]: Taking taylor expansion of x.re in x.im 1.150 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 1.150 * [taylor]: Taking taylor expansion of 3 in x.im 1.150 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.150 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.150 * [taylor]: Taking taylor expansion of x.im in x.im 1.150 * [taylor]: Taking taylor expansion of x.re in x.im 1.150 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 1.150 * [taylor]: Taking taylor expansion of 3 in x.re 1.150 * [taylor]: Taking taylor expansion of x.re in x.re 1.152 * [taylor]: Taking taylor expansion of 0 in x.re 1.153 * [taylor]: Taking taylor expansion of 0 in x.re 1.155 * [taylor]: Taking taylor expansion of 0 in x.re 1.156 * [approximate]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 1.156 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.re 1.156 * [taylor]: Taking taylor expansion of 3 in x.re 1.156 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.156 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.156 * [taylor]: Taking taylor expansion of x.im in x.re 1.156 * [taylor]: Taking taylor expansion of x.re in x.re 1.156 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 1.156 * [taylor]: Taking taylor expansion of 3 in x.im 1.156 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.156 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.156 * [taylor]: Taking taylor expansion of x.im in x.im 1.156 * [taylor]: Taking taylor expansion of x.re in x.im 1.157 * [taylor]: Taking taylor expansion of (/ 3 (* (pow x.im 2) x.re)) in x.im 1.157 * [taylor]: Taking taylor expansion of 3 in x.im 1.157 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.157 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.157 * [taylor]: Taking taylor expansion of x.im in x.im 1.157 * [taylor]: Taking taylor expansion of x.re in x.im 1.157 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 1.157 * [taylor]: Taking taylor expansion of 3 in x.re 1.157 * [taylor]: Taking taylor expansion of x.re in x.re 1.158 * [taylor]: Taking taylor expansion of 0 in x.re 1.159 * [taylor]: Taking taylor expansion of 0 in x.re 1.161 * [taylor]: Taking taylor expansion of 0 in x.re 1.162 * [approximate]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in (x.im x.re) around 0 1.162 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.re 1.162 * [taylor]: Taking taylor expansion of -3 in x.re 1.162 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.162 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.162 * [taylor]: Taking taylor expansion of x.im in x.re 1.162 * [taylor]: Taking taylor expansion of x.re in x.re 1.163 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 1.163 * [taylor]: Taking taylor expansion of -3 in x.im 1.163 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.163 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.163 * [taylor]: Taking taylor expansion of x.im in x.im 1.163 * [taylor]: Taking taylor expansion of x.re in x.im 1.163 * [taylor]: Taking taylor expansion of (/ -3 (* (pow x.im 2) x.re)) in x.im 1.163 * [taylor]: Taking taylor expansion of -3 in x.im 1.163 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.163 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.163 * [taylor]: Taking taylor expansion of x.im in x.im 1.163 * [taylor]: Taking taylor expansion of x.re in x.im 1.163 * [taylor]: Taking taylor expansion of (/ -3 x.re) in x.re 1.163 * [taylor]: Taking taylor expansion of -3 in x.re 1.163 * [taylor]: Taking taylor expansion of x.re in x.re 1.164 * [taylor]: Taking taylor expansion of 0 in x.re 1.166 * [taylor]: Taking taylor expansion of 0 in x.re 1.167 * [taylor]: Taking taylor expansion of 0 in x.re 1.168 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.168 * [approximate]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in (x.re x.im) around 0 1.168 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.im 1.168 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 1.168 * [taylor]: Taking taylor expansion of x.re in x.im 1.169 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.im 1.169 * [taylor]: Taking taylor expansion of 3 in x.im 1.169 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.169 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.169 * [taylor]: Taking taylor expansion of x.im in x.im 1.169 * [taylor]: Taking taylor expansion of x.re in x.im 1.169 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.re 1.169 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.169 * [taylor]: Taking taylor expansion of x.re in x.re 1.169 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 1.169 * [taylor]: Taking taylor expansion of 3 in x.re 1.169 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.169 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.169 * [taylor]: Taking taylor expansion of x.im in x.re 1.169 * [taylor]: Taking taylor expansion of x.re in x.re 1.169 * [taylor]: Taking taylor expansion of (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) in x.re 1.169 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.169 * [taylor]: Taking taylor expansion of x.re in x.re 1.169 * [taylor]: Taking taylor expansion of (* 3 (* (pow x.im 2) x.re)) in x.re 1.169 * [taylor]: Taking taylor expansion of 3 in x.re 1.169 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.169 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.169 * [taylor]: Taking taylor expansion of x.im in x.re 1.169 * [taylor]: Taking taylor expansion of x.re in x.re 1.170 * [taylor]: Taking taylor expansion of 0 in x.im 1.170 * [taylor]: Taking taylor expansion of (- (* 3 (pow x.im 2))) in x.im 1.170 * [taylor]: Taking taylor expansion of (* 3 (pow x.im 2)) in x.im 1.170 * [taylor]: Taking taylor expansion of 3 in x.im 1.170 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.171 * [taylor]: Taking taylor expansion of x.im in x.im 1.172 * [taylor]: Taking taylor expansion of 0 in x.im 1.174 * [taylor]: Taking taylor expansion of 1 in x.im 1.178 * [taylor]: Taking taylor expansion of 0 in x.im 1.180 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in (x.re x.im) around 0 1.180 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.im 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 1.180 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 1.180 * [taylor]: Taking taylor expansion of x.re in x.im 1.180 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 1.180 * [taylor]: Taking taylor expansion of 3 in x.im 1.180 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 1.180 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.180 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.180 * [taylor]: Taking taylor expansion of x.im in x.im 1.180 * [taylor]: Taking taylor expansion of x.re in x.im 1.180 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.re 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 1.180 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.180 * [taylor]: Taking taylor expansion of x.re in x.re 1.181 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 1.181 * [taylor]: Taking taylor expansion of 3 in x.re 1.181 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 1.181 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.181 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.181 * [taylor]: Taking taylor expansion of x.im in x.re 1.181 * [taylor]: Taking taylor expansion of x.re in x.re 1.181 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.re 3)) (* 3 (/ 1 (* (pow x.im 2) x.re)))) in x.re 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 1.181 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.181 * [taylor]: Taking taylor expansion of x.re in x.re 1.182 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 1.182 * [taylor]: Taking taylor expansion of 3 in x.re 1.182 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 1.182 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.182 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.182 * [taylor]: Taking taylor expansion of x.im in x.re 1.182 * [taylor]: Taking taylor expansion of x.re in x.re 1.183 * [taylor]: Taking taylor expansion of 1 in x.im 1.184 * [taylor]: Taking taylor expansion of 0 in x.im 1.186 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.im 2)))) in x.im 1.186 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 1.186 * [taylor]: Taking taylor expansion of 3 in x.im 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.186 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.186 * [taylor]: Taking taylor expansion of x.im in x.im 1.190 * [taylor]: Taking taylor expansion of 0 in x.im 1.195 * [taylor]: Taking taylor expansion of 0 in x.im 1.197 * [approximate]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in (x.re x.im) around 0 1.197 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.im 1.197 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.im 1.197 * [taylor]: Taking taylor expansion of 3 in x.im 1.197 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.im 1.197 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.im 1.197 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.197 * [taylor]: Taking taylor expansion of x.im in x.im 1.197 * [taylor]: Taking taylor expansion of x.re in x.im 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.im 1.197 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.im 1.197 * [taylor]: Taking taylor expansion of x.re in x.im 1.197 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.re 1.197 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 1.197 * [taylor]: Taking taylor expansion of 3 in x.re 1.197 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 1.197 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.197 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.197 * [taylor]: Taking taylor expansion of x.im in x.re 1.197 * [taylor]: Taking taylor expansion of x.re in x.re 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 1.198 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.198 * [taylor]: Taking taylor expansion of x.re in x.re 1.199 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* (pow x.im 2) x.re))) (/ 1 (pow x.re 3))) in x.re 1.199 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* (pow x.im 2) x.re))) in x.re 1.199 * [taylor]: Taking taylor expansion of 3 in x.re 1.199 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x.im 2) x.re)) in x.re 1.199 * [taylor]: Taking taylor expansion of (* (pow x.im 2) x.re) in x.re 1.199 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 1.199 * [taylor]: Taking taylor expansion of x.im in x.re 1.199 * [taylor]: Taking taylor expansion of x.re in x.re 1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 3)) in x.re 1.199 * [taylor]: Taking taylor expansion of (pow x.re 3) in x.re 1.199 * [taylor]: Taking taylor expansion of x.re in x.re 1.200 * [taylor]: Taking taylor expansion of -1 in x.im 1.202 * [taylor]: Taking taylor expansion of 0 in x.im 1.203 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.im 2))) in x.im 1.203 * [taylor]: Taking taylor expansion of 3 in x.im 1.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 1.203 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 1.203 * [taylor]: Taking taylor expansion of x.im in x.im 1.207 * [taylor]: Taking taylor expansion of 0 in x.im 1.212 * [taylor]: Taking taylor expansion of 0 in x.im 1.213 * * * [progress]: simplifying candidates 1.214 * [simplify]: Simplifying using # : (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (+ (log 3) (+ (log x.im) (log x.re))) (+ (log 3) (log (* x.im x.re))) (log (* 3 (* x.im x.re))) (exp (* 3 (* x.im x.re))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re))) (* (cbrt (* 3 (* x.im x.re))) (cbrt (* 3 (* x.im x.re)))) (cbrt (* 3 (* x.im x.re))) (* (* (* 3 (* x.im x.re)) (* 3 (* x.im x.re))) (* 3 (* x.im x.re))) (sqrt (* 3 (* x.im x.re))) (sqrt (* 3 (* x.im x.re))) (* 3 x.im) (* (cbrt 3) (* x.im x.re)) (* (sqrt 3) (* x.im x.re)) (* 3 (* x.im x.re)) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (+ (+ (log 3) (+ (log x.im) (log x.re))) (log x.im)) (+ (+ (log 3) (log (* x.im x.re))) (log x.im)) (+ (log (* 3 (* x.im x.re))) (log x.im)) (log (* (* 3 (* x.im x.re)) x.im)) (exp (* (* 3 (* x.im x.re)) x.im)) (* (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re))) (* (* x.im x.im) x.im)) (* (* (* (* 3 3) 3) (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re))) (* (* x.im x.im) x.im)) (* (* (* (* 3 (* x.im x.re)) (* 3 (* x.im x.re))) (* 3 (* x.im x.re))) (* (* x.im x.im) x.im)) (* (cbrt (* (* 3 (* x.im x.re)) x.im)) (cbrt (* (* 3 (* x.im x.re)) x.im))) (cbrt (* (* 3 (* x.im x.re)) x.im)) (* (* (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im)) (* (* 3 (* x.im x.re)) x.im)) (sqrt (* (* 3 (* x.im x.re)) x.im)) (sqrt (* (* 3 (* x.im x.re)) x.im)) (* (* 3 (* x.im x.re)) (* (cbrt x.im) (cbrt x.im))) (* (* 3 (* x.im x.re)) (sqrt x.im)) (* (* 3 (* x.im x.re)) 1) (* (* x.im x.re) x.im) (/ (exp (pow x.re 3)) (exp (* (* 3 (* x.im x.re)) x.im))) (log (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (exp (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (* (cbrt (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (cbrt (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im)))) (cbrt (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (* (* (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im)) (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (sqrt (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (sqrt (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (- (pow (pow x.re 3) 3) (pow (* (* 3 (* x.im x.re)) x.im) 3)) (+ (* (pow x.re 3) (pow x.re 3)) (+ (* (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im)) (* (pow x.re 3) (* (* 3 (* x.im x.re)) x.im)))) (- (* (* 3 (* x.im x.re)) x.im)) (- (* (pow x.re 3) (pow x.re 3)) (* (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im))) (+ (pow x.re 3) (* (* 3 (* x.im x.re)) x.im)) (- (* (* 3 (* x.im x.re)) x.im)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (* 3 (* (pow x.im 2) x.re)) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 1.217 * [simplify]: Sending expressions to egg_math: (* 3 (* h0 h1)) (* 3 (* h0 h1)) (+ (log 3) (+ (log h0) (log h1))) (+ (log 3) (log (* h0 h1))) (log (* 3 (* h0 h1))) (exp (* 3 (* h0 h1))) (* (* (* 3 3) 3) (* (* (* h0 h0) h0) (* (* h1 h1) h1))) (* (* (* 3 3) 3) (* (* (* h0 h1) (* h0 h1)) (* h0 h1))) (* (cbrt (* 3 (* h0 h1))) (cbrt (* 3 (* h0 h1)))) (cbrt (* 3 (* h0 h1))) (* (* (* 3 (* h0 h1)) (* 3 (* h0 h1))) (* 3 (* h0 h1))) (sqrt (* 3 (* h0 h1))) (sqrt (* 3 (* h0 h1))) (* 3 h0) (* (cbrt 3) (* h0 h1)) (* (sqrt 3) (* h0 h1)) (* 3 (* h0 h1)) (* (* 3 (* h0 h1)) h0) (* (* 3 (* h0 h1)) h0) (* (* 3 (* h0 h1)) h0) (+ (+ (log 3) (+ (log h0) (log h1))) (log h0)) (+ (+ (log 3) (log (* h0 h1))) (log h0)) (+ (log (* 3 (* h0 h1))) (log h0)) (log (* (* 3 (* h0 h1)) h0)) (exp (* (* 3 (* h0 h1)) h0)) (* (* (* (* 3 3) 3) (* (* (* h0 h0) h0) (* (* h1 h1) h1))) (* (* h0 h0) h0)) (* (* (* (* 3 3) 3) (* (* (* h0 h1) (* h0 h1)) (* h0 h1))) (* (* h0 h0) h0)) (* (* (* (* 3 (* h0 h1)) (* 3 (* h0 h1))) (* 3 (* h0 h1))) (* (* h0 h0) h0)) (* (cbrt (* (* 3 (* h0 h1)) h0)) (cbrt (* (* 3 (* h0 h1)) h0))) (cbrt (* (* 3 (* h0 h1)) h0)) (* (* (* (* 3 (* h0 h1)) h0) (* (* 3 (* h0 h1)) h0)) (* (* 3 (* h0 h1)) h0)) (sqrt (* (* 3 (* h0 h1)) h0)) (sqrt (* (* 3 (* h0 h1)) h0)) (* (* 3 (* h0 h1)) (* (cbrt h0) (cbrt h0))) (* (* 3 (* h0 h1)) (sqrt h0)) (* (* 3 (* h0 h1)) 1) (* (* h0 h1) h0) (/ (exp (pow h1 3)) (exp (* (* 3 (* h0 h1)) h0))) (log (- (pow h1 3) (* (* 3 (* h0 h1)) h0))) (exp (- (pow h1 3) (* (* 3 (* h0 h1)) h0))) (* (cbrt (- (pow h1 3) (* (* 3 (* h0 h1)) h0))) (cbrt (- (pow h1 3) (* (* 3 (* h0 h1)) h0)))) (cbrt (- (pow h1 3) (* (* 3 (* h0 h1)) h0))) (* (* (- (pow h1 3) (* (* 3 (* h0 h1)) h0)) (- (pow h1 3) (* (* 3 (* h0 h1)) h0))) (- (pow h1 3) (* (* 3 (* h0 h1)) h0))) (sqrt (- (pow h1 3) (* (* 3 (* h0 h1)) h0))) (sqrt (- (pow h1 3) (* (* 3 (* h0 h1)) h0))) (- (pow (pow h1 3) 3) (pow (* (* 3 (* h0 h1)) h0) 3)) (+ (* (pow h1 3) (pow h1 3)) (+ (* (* (* 3 (* h0 h1)) h0) (* (* 3 (* h0 h1)) h0)) (* (pow h1 3) (* (* 3 (* h0 h1)) h0)))) (- (* (* 3 (* h0 h1)) h0)) (- (* (pow h1 3) (pow h1 3)) (* (* (* 3 (* h0 h1)) h0) (* (* 3 (* h0 h1)) h0))) (+ (pow h1 3) (* (* 3 (* h0 h1)) h0)) (- (* (* 3 (* h0 h1)) h0)) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* (pow h0 2) h1)) (* 3 (* (pow h0 2) h1)) (* 3 (* (pow h0 2) h1)) (- (pow h1 3) (* 3 (* (pow h0 2) h1))) (- (pow h1 3) (* 3 (* (pow h0 2) h1))) (- (pow h1 3) (* 3 (* (pow h0 2) h1))) 1.220 * * [simplify]: iteration 0 : 225 enodes (cost 290 ) 1.226 * * [simplify]: iteration 1 : 1116 enodes (cost 255 ) 1.257 * * [simplify]: iteration 2 : 5001 enodes (cost 255 ) 1.259 * [simplify]: Simplified to: (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (log (* 3 (* x.im x.re))) (log (* 3 (* x.im x.re))) (log (* 3 (* x.im x.re))) (exp (* 3 (* x.im x.re))) (pow (* 3 (* x.im x.re)) 3) (pow (* 3 (* x.im x.re)) 3) (* (cbrt (* 3 (* x.im x.re))) (cbrt (* 3 (* x.im x.re)))) (cbrt (* 3 (* x.im x.re))) (pow (* 3 (* x.im x.re)) 3) (sqrt (* 3 (* x.im x.re))) (sqrt (* 3 (* x.im x.re))) (* 3 x.im) (* (cbrt 3) (* x.im x.re)) (* (sqrt 3) (* x.im x.re)) (* 3 (* x.im x.re)) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (log (* (* 3 (* x.im x.re)) x.im)) (log (* (* 3 (* x.im x.re)) x.im)) (log (* (* 3 (* x.im x.re)) x.im)) (log (* (* 3 (* x.im x.re)) x.im)) (exp (* (* 3 (* x.im x.re)) x.im)) (pow (* (* 3 (* x.im x.re)) x.im) 3) (pow (* (* 3 (* x.im x.re)) x.im) 3) (pow (* (* 3 (* x.im x.re)) x.im) 3) (* (cbrt (* (* 3 (* x.im x.re)) x.im)) (cbrt (* (* 3 (* x.im x.re)) x.im))) (cbrt (* (* 3 (* x.im x.re)) x.im)) (pow (* (* 3 (* x.im x.re)) x.im) 3) (sqrt (* (* 3 (* x.im x.re)) x.im)) (sqrt (* (* 3 (* x.im x.re)) x.im)) (* (* 3 (* x.im x.re)) (* (cbrt x.im) (cbrt x.im))) (* (* 3 (* x.im x.re)) (sqrt x.im)) (* 3 (* x.im x.re)) (* (* x.im x.re) x.im) (exp (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (log (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (exp (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (* (cbrt (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (cbrt (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im)))) (cbrt (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (pow (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im)) 3) (sqrt (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (sqrt (- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))) (- (pow (pow x.re 3) 3) (pow (* (* 3 (* x.im x.re)) x.im) 3)) (+ (* (* (* 3 (* x.im x.re)) x.im) (+ (* (* 3 (* x.im x.re)) x.im) (pow x.re 3))) (pow x.re 6)) (- (* (* 3 (* x.im x.re)) x.im)) (+ (pow x.re 6) (- (* (* 9 (* (* x.im x.re) (* x.im x.re))) (pow x.im 2)))) (+ (pow x.re 3) (* (* 3 (* x.im x.re)) x.im)) (- (* (* 3 (* x.im x.re)) x.im)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (* (* 3 (* x.im x.re)) x.im) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) (- (pow x.re 3) (* 3 (* (pow x.im 2) x.re))) 1.259 * * * [progress]: adding candidates to table 1.338 * [progress]: [Phase 3 of 3] Extracting. 1.338 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.339 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 1.339 * * * * [regimes]: Trying to branch on x.im from (# # # # # # #) 1.362 * * * * [regimes]: Trying to branch on x.re from (# # # # # # #) 1.383 * * * [regime]: Found split indices: #