5.195 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) 0.033 * [simplify]: Sending expressions to egg_math: (+ (* (- (* h0 h0) (* h1 h1)) h1) (* (+ (* h0 h1) (* h1 h0)) h0)) 0.035 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.037 * * [simplify]: iteration 1 : 48 enodes (cost 9 ) 0.039 * * [simplify]: iteration 2 : 113 enodes (cost 9 ) 0.041 * * [simplify]: iteration 3 : 277 enodes (cost 5 ) 0.047 * * [simplify]: iteration 4 : 705 enodes (cost 5 ) 0.058 * * [simplify]: iteration 5 : 1571 enodes (cost 5 ) 0.089 * * [simplify]: iteration 6 : 4493 enodes (cost 5 ) 0.184 * * [simplify]: iteration 7 : 5002 enodes (cost 5 ) 0.184 * [simplify]: Simplified to: (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) 0.187 * * [progress]: iteration 1 / 4 0.187 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.190 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.212 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.255 * * * [progress]: generating series expansions 0.255 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.255 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.255 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.255 * [taylor]: Taking taylor expansion of x.im in x.re 0.255 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.255 * [taylor]: Taking taylor expansion of x.re in x.re 0.255 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.255 * [taylor]: Taking taylor expansion of x.im in x.im 0.255 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.255 * [taylor]: Taking taylor expansion of x.re in x.im 0.255 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.255 * [taylor]: Taking taylor expansion of x.im in x.im 0.255 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.255 * [taylor]: Taking taylor expansion of x.re in x.im 0.255 * [taylor]: Taking taylor expansion of 0 in x.re 0.256 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.256 * [taylor]: Taking taylor expansion of x.re in x.re 0.257 * [taylor]: Taking taylor expansion of 0 in x.re 0.259 * [taylor]: Taking taylor expansion of 0 in x.re 0.259 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.259 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.259 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.259 * [taylor]: Taking taylor expansion of x.im in x.re 0.259 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.259 * [taylor]: Taking taylor expansion of x.re in x.re 0.259 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.259 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.259 * [taylor]: Taking taylor expansion of x.im in x.im 0.259 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.259 * [taylor]: Taking taylor expansion of x.re in x.im 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.260 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.260 * [taylor]: Taking taylor expansion of x.im in x.im 0.260 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.260 * [taylor]: Taking taylor expansion of x.re in x.im 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.260 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.260 * [taylor]: Taking taylor expansion of x.re in x.re 0.262 * [taylor]: Taking taylor expansion of 0 in x.re 0.264 * [taylor]: Taking taylor expansion of 0 in x.re 0.267 * [taylor]: Taking taylor expansion of 0 in x.re 0.270 * [taylor]: Taking taylor expansion of 0 in x.re 0.270 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.270 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.270 * [taylor]: Taking taylor expansion of -1 in x.re 0.270 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.270 * [taylor]: Taking taylor expansion of x.im in x.re 0.270 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.270 * [taylor]: Taking taylor expansion of x.re in x.re 0.270 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.270 * [taylor]: Taking taylor expansion of -1 in x.im 0.270 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.270 * [taylor]: Taking taylor expansion of x.im in x.im 0.270 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.271 * [taylor]: Taking taylor expansion of x.re in x.im 0.271 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.271 * [taylor]: Taking taylor expansion of -1 in x.im 0.271 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.271 * [taylor]: Taking taylor expansion of x.im in x.im 0.271 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.271 * [taylor]: Taking taylor expansion of x.re in x.im 0.272 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.272 * [taylor]: Taking taylor expansion of -1 in x.re 0.272 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.272 * [taylor]: Taking taylor expansion of x.re in x.re 0.273 * [taylor]: Taking taylor expansion of 0 in x.re 0.275 * [taylor]: Taking taylor expansion of 0 in x.re 0.278 * [taylor]: Taking taylor expansion of 0 in x.re 0.281 * [taylor]: Taking taylor expansion of 0 in x.re 0.282 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.282 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.282 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.282 * [taylor]: Taking taylor expansion of 3 in x.re 0.282 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.282 * [taylor]: Taking taylor expansion of x.im in x.re 0.282 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.282 * [taylor]: Taking taylor expansion of x.re in x.re 0.282 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.282 * [taylor]: Taking taylor expansion of 3 in x.im 0.282 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.282 * [taylor]: Taking taylor expansion of x.im in x.im 0.282 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.282 * [taylor]: Taking taylor expansion of x.re in x.im 0.282 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.282 * [taylor]: Taking taylor expansion of 3 in x.im 0.282 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.282 * [taylor]: Taking taylor expansion of x.im in x.im 0.282 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.282 * [taylor]: Taking taylor expansion of x.re in x.im 0.282 * [taylor]: Taking taylor expansion of 0 in x.re 0.283 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.283 * [taylor]: Taking taylor expansion of 3 in x.re 0.283 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.283 * [taylor]: Taking taylor expansion of x.re in x.re 0.285 * [taylor]: Taking taylor expansion of 0 in x.re 0.287 * [taylor]: Taking taylor expansion of 0 in x.re 0.288 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.288 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.288 * [taylor]: Taking taylor expansion of 3 in x.re 0.288 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.288 * [taylor]: Taking taylor expansion of x.im in x.re 0.288 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.288 * [taylor]: Taking taylor expansion of x.re in x.re 0.288 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.288 * [taylor]: Taking taylor expansion of 3 in x.im 0.288 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.288 * [taylor]: Taking taylor expansion of x.im in x.im 0.288 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.288 * [taylor]: Taking taylor expansion of x.re in x.im 0.288 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.289 * [taylor]: Taking taylor expansion of 3 in x.im 0.289 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.289 * [taylor]: Taking taylor expansion of x.im in x.im 0.289 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.289 * [taylor]: Taking taylor expansion of x.re in x.im 0.289 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.289 * [taylor]: Taking taylor expansion of 3 in x.re 0.289 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.289 * [taylor]: Taking taylor expansion of x.re in x.re 0.291 * [taylor]: Taking taylor expansion of 0 in x.re 0.293 * [taylor]: Taking taylor expansion of 0 in x.re 0.296 * [taylor]: Taking taylor expansion of 0 in x.re 0.299 * [taylor]: Taking taylor expansion of 0 in x.re 0.299 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.299 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.299 * [taylor]: Taking taylor expansion of -3 in x.re 0.299 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.299 * [taylor]: Taking taylor expansion of x.im in x.re 0.299 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.299 * [taylor]: Taking taylor expansion of x.re in x.re 0.300 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.300 * [taylor]: Taking taylor expansion of -3 in x.im 0.300 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.300 * [taylor]: Taking taylor expansion of x.im in x.im 0.300 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.300 * [taylor]: Taking taylor expansion of x.re in x.im 0.300 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.300 * [taylor]: Taking taylor expansion of -3 in x.im 0.300 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.300 * [taylor]: Taking taylor expansion of x.im in x.im 0.300 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.300 * [taylor]: Taking taylor expansion of x.re in x.im 0.301 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.301 * [taylor]: Taking taylor expansion of -3 in x.re 0.301 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.301 * [taylor]: Taking taylor expansion of x.re in x.re 0.302 * [taylor]: Taking taylor expansion of 0 in x.re 0.304 * [taylor]: Taking taylor expansion of 0 in x.re 0.307 * [taylor]: Taking taylor expansion of 0 in x.re 0.310 * [taylor]: Taking taylor expansion of 0 in x.re 0.311 * * * [progress]: simplifying candidates 0.311 * [simplify]: Simplifying using # : (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (+ (log x.im) (+ (log x.re) (log x.re))) (+ (log x.im) (log (* x.re x.re))) (log (* x.im (* x.re x.re))) (exp (* x.im (* x.re x.re))) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.re x.re) x.re))) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) (* x.re x.re)) (* x.re x.re))) (* (cbrt (* x.im (* x.re x.re))) (cbrt (* x.im (* x.re x.re)))) (cbrt (* x.im (* x.re x.re))) (* (* (* x.im (* x.re x.re)) (* x.im (* x.re x.re))) (* x.im (* x.re x.re))) (sqrt (* x.im (* x.re x.re))) (sqrt (* x.im (* x.re x.re))) (* (sqrt x.im) x.re) (* (sqrt x.im) x.re) (* x.im x.re) (* (cbrt x.im) (* x.re x.re)) (* (sqrt x.im) (* x.re x.re)) (* x.im (* x.re x.re)) (* 3 (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re))) (+ (log 3) (+ (log x.im) (+ (log x.re) (log x.re)))) (+ (log 3) (+ (log x.im) (log (* x.re x.re)))) (+ (log 3) (log (* x.im (* x.re x.re)))) (log (* 3 (* x.im (* x.re x.re)))) (exp (* 3 (* x.im (* x.re x.re)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) x.re) (* (* x.re x.re) x.re)))) (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* (* x.re x.re) (* x.re x.re)) (* x.re x.re)))) (* (* (* 3 3) 3) (* (* (* x.im (* x.re x.re)) (* x.im (* x.re x.re))) (* x.im (* x.re x.re)))) (* (cbrt (* 3 (* x.im (* x.re x.re)))) (cbrt (* 3 (* x.im (* x.re x.re))))) (cbrt (* 3 (* x.im (* x.re x.re)))) (* (* (* 3 (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re)))) (* 3 (* x.im (* x.re x.re)))) (sqrt (* 3 (* x.im (* x.re x.re)))) (sqrt (* 3 (* x.im (* x.re x.re)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.re))) (* (sqrt 3) (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re))) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.311 * [simplify]: Sending expressions to egg_math: (* h0 (* h1 h1)) (* h0 (* h1 h1)) (+ (log h0) (+ (log h1) (log h1))) (+ (log h0) (log (* h1 h1))) (log (* h0 (* h1 h1))) (exp (* h0 (* h1 h1))) (* (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h1 h1) h1))) (* (* (* h0 h0) h0) (* (* (* h1 h1) (* h1 h1)) (* h1 h1))) (* (cbrt (* h0 (* h1 h1))) (cbrt (* h0 (* h1 h1)))) (cbrt (* h0 (* h1 h1))) (* (* (* h0 (* h1 h1)) (* h0 (* h1 h1))) (* h0 (* h1 h1))) (sqrt (* h0 (* h1 h1))) (sqrt (* h0 (* h1 h1))) (* (sqrt h0) h1) (* (sqrt h0) h1) (* h0 h1) (* (cbrt h0) (* h1 h1)) (* (sqrt h0) (* h1 h1)) (* h0 (* h1 h1)) (* 3 (* h0 (* h1 h1))) (* 3 (* h0 (* h1 h1))) (* 3 (* h0 (* h1 h1))) (+ (log 3) (+ (log h0) (+ (log h1) (log h1)))) (+ (log 3) (+ (log h0) (log (* h1 h1)))) (+ (log 3) (log (* h0 (* h1 h1)))) (log (* 3 (* h0 (* h1 h1)))) (exp (* 3 (* h0 (* h1 h1)))) (* (* (* 3 3) 3) (* (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h1 h1) h1)))) (* (* (* 3 3) 3) (* (* (* h0 h0) h0) (* (* (* h1 h1) (* h1 h1)) (* h1 h1)))) (* (* (* 3 3) 3) (* (* (* h0 (* h1 h1)) (* h0 (* h1 h1))) (* h0 (* h1 h1)))) (* (cbrt (* 3 (* h0 (* h1 h1)))) (cbrt (* 3 (* h0 (* h1 h1))))) (cbrt (* 3 (* h0 (* h1 h1)))) (* (* (* 3 (* h0 (* h1 h1))) (* 3 (* h0 (* h1 h1)))) (* 3 (* h0 (* h1 h1)))) (sqrt (* 3 (* h0 (* h1 h1)))) (sqrt (* 3 (* h0 (* h1 h1)))) (* 3 h0) (* (cbrt 3) (* h0 (* h1 h1))) (* (sqrt 3) (* h0 (* h1 h1))) (* 3 (* h0 (* h1 h1))) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) 0.317 * * [simplify]: iteration 0 : 152 enodes (cost 183 ) 0.321 * * [simplify]: iteration 1 : 589 enodes (cost 147 ) 0.334 * * [simplify]: iteration 2 : 2908 enodes (cost 147 ) 0.394 * * [simplify]: iteration 3 : 5003 enodes (cost 147 ) 0.396 * [simplify]: Simplified to: (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (log (* x.im (* x.re x.re))) (log (* x.im (* x.re x.re))) (log (* x.im (* x.re x.re))) (exp (* x.im (* x.re x.re))) (pow (* x.im (* x.re x.re)) 3) (pow (* x.im (* x.re x.re)) 3) (* (cbrt (* x.im (* x.re x.re))) (cbrt (* x.im (* x.re x.re)))) (cbrt (* x.im (* x.re x.re))) (pow (* x.im (* x.re x.re)) 3) (sqrt (* x.im (* x.re x.re))) (sqrt (* x.im (* x.re x.re))) (* (sqrt x.im) x.re) (* (sqrt x.im) x.re) (* x.im x.re) (* (cbrt x.im) (* x.re x.re)) (* (sqrt x.im) (* x.re x.re)) (* x.im (* x.re x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (log (* 3 (* x.im (* x.re x.re)))) (log (* 3 (* x.im (* x.re x.re)))) (log (* 3 (* x.im (* x.re x.re)))) (log (* 3 (* x.im (* x.re x.re)))) (exp (* 3 (* x.im (* x.re x.re)))) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* 3 (* x.im (* x.re x.re)))) (cbrt (* 3 (* x.im (* x.re x.re))))) (cbrt (* 3 (* x.im (* x.re x.re)))) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* 3 (* x.im (* x.re x.re)))) (sqrt (* 3 (* x.im (* x.re x.re)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.re))) (* (sqrt 3) (* x.im (* x.re x.re))) (* 3 (* x.im (pow x.re 2))) (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.396 * * * [progress]: adding candidates to table 0.465 * * [progress]: iteration 2 / 4 0.465 * * * [progress]: picking best candidate 0.473 * * * * [pick]: Picked # 0.474 * * * [progress]: localizing error 0.481 * * * [progress]: generating rewritten candidates 0.481 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.524 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.541 * * * [progress]: generating series expansions 0.542 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.542 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.542 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.542 * [taylor]: Taking taylor expansion of 3 in x.re 0.542 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.542 * [taylor]: Taking taylor expansion of x.im in x.re 0.542 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.542 * [taylor]: Taking taylor expansion of x.re in x.re 0.542 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.542 * [taylor]: Taking taylor expansion of 3 in x.im 0.542 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.542 * [taylor]: Taking taylor expansion of x.im in x.im 0.542 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.542 * [taylor]: Taking taylor expansion of x.re in x.im 0.542 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.542 * [taylor]: Taking taylor expansion of 3 in x.im 0.542 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.542 * [taylor]: Taking taylor expansion of x.im in x.im 0.542 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.542 * [taylor]: Taking taylor expansion of x.re in x.im 0.543 * [taylor]: Taking taylor expansion of 0 in x.re 0.543 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.543 * [taylor]: Taking taylor expansion of 3 in x.re 0.543 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.543 * [taylor]: Taking taylor expansion of x.re in x.re 0.545 * [taylor]: Taking taylor expansion of 0 in x.re 0.548 * [taylor]: Taking taylor expansion of 0 in x.re 0.548 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.548 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.548 * [taylor]: Taking taylor expansion of 3 in x.re 0.548 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.548 * [taylor]: Taking taylor expansion of x.im in x.re 0.548 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.548 * [taylor]: Taking taylor expansion of x.re in x.re 0.548 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.548 * [taylor]: Taking taylor expansion of 3 in x.im 0.548 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.548 * [taylor]: Taking taylor expansion of x.im in x.im 0.548 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.548 * [taylor]: Taking taylor expansion of x.re in x.im 0.549 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.549 * [taylor]: Taking taylor expansion of 3 in x.im 0.549 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.549 * [taylor]: Taking taylor expansion of x.im in x.im 0.549 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.549 * [taylor]: Taking taylor expansion of x.re in x.im 0.550 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.550 * [taylor]: Taking taylor expansion of 3 in x.re 0.550 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.550 * [taylor]: Taking taylor expansion of x.re in x.re 0.551 * [taylor]: Taking taylor expansion of 0 in x.re 0.553 * [taylor]: Taking taylor expansion of 0 in x.re 0.556 * [taylor]: Taking taylor expansion of 0 in x.re 0.559 * [taylor]: Taking taylor expansion of 0 in x.re 0.560 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.560 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.560 * [taylor]: Taking taylor expansion of -3 in x.re 0.560 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.560 * [taylor]: Taking taylor expansion of x.im in x.re 0.560 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.560 * [taylor]: Taking taylor expansion of x.re in x.re 0.560 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.560 * [taylor]: Taking taylor expansion of -3 in x.im 0.560 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.560 * [taylor]: Taking taylor expansion of x.im in x.im 0.560 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.560 * [taylor]: Taking taylor expansion of x.re in x.im 0.561 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.561 * [taylor]: Taking taylor expansion of -3 in x.im 0.561 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.561 * [taylor]: Taking taylor expansion of x.im in x.im 0.561 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.561 * [taylor]: Taking taylor expansion of x.re in x.im 0.561 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.561 * [taylor]: Taking taylor expansion of -3 in x.re 0.561 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.561 * [taylor]: Taking taylor expansion of x.re in x.re 0.563 * [taylor]: Taking taylor expansion of 0 in x.re 0.565 * [taylor]: Taking taylor expansion of 0 in x.re 0.570 * [taylor]: Taking taylor expansion of 0 in x.re 0.573 * [taylor]: Taking taylor expansion of 0 in x.re 0.574 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.574 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.574 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.574 * [taylor]: Taking taylor expansion of x.im in x.re 0.574 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.574 * [taylor]: Taking taylor expansion of x.re in x.re 0.574 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.574 * [taylor]: Taking taylor expansion of x.im in x.im 0.574 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.574 * [taylor]: Taking taylor expansion of x.re in x.im 0.574 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.574 * [taylor]: Taking taylor expansion of x.im in x.im 0.574 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.574 * [taylor]: Taking taylor expansion of x.re in x.im 0.574 * [taylor]: Taking taylor expansion of 0 in x.re 0.575 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.575 * [taylor]: Taking taylor expansion of x.re in x.re 0.576 * [taylor]: Taking taylor expansion of 0 in x.re 0.577 * [taylor]: Taking taylor expansion of 0 in x.re 0.577 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.577 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.577 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.577 * [taylor]: Taking taylor expansion of x.im in x.re 0.577 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.577 * [taylor]: Taking taylor expansion of x.re in x.re 0.578 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.578 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.578 * [taylor]: Taking taylor expansion of x.im in x.im 0.578 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.578 * [taylor]: Taking taylor expansion of x.re in x.im 0.578 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.578 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.578 * [taylor]: Taking taylor expansion of x.im in x.im 0.578 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.578 * [taylor]: Taking taylor expansion of x.re in x.im 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.579 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.579 * [taylor]: Taking taylor expansion of x.re in x.re 0.580 * [taylor]: Taking taylor expansion of 0 in x.re 0.582 * [taylor]: Taking taylor expansion of 0 in x.re 0.585 * [taylor]: Taking taylor expansion of 0 in x.re 0.588 * [taylor]: Taking taylor expansion of 0 in x.re 0.588 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.588 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.588 * [taylor]: Taking taylor expansion of -1 in x.re 0.588 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.588 * [taylor]: Taking taylor expansion of x.im in x.re 0.588 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.588 * [taylor]: Taking taylor expansion of x.re in x.re 0.589 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.589 * [taylor]: Taking taylor expansion of -1 in x.im 0.589 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.589 * [taylor]: Taking taylor expansion of x.im in x.im 0.589 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.589 * [taylor]: Taking taylor expansion of x.re in x.im 0.589 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.589 * [taylor]: Taking taylor expansion of -1 in x.im 0.589 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.589 * [taylor]: Taking taylor expansion of x.im in x.im 0.589 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.589 * [taylor]: Taking taylor expansion of x.re in x.im 0.590 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.590 * [taylor]: Taking taylor expansion of -1 in x.re 0.590 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.590 * [taylor]: Taking taylor expansion of x.re in x.re 0.591 * [taylor]: Taking taylor expansion of 0 in x.re 0.593 * [taylor]: Taking taylor expansion of 0 in x.re 0.596 * [taylor]: Taking taylor expansion of 0 in x.re 0.599 * [taylor]: Taking taylor expansion of 0 in x.re 0.600 * * * [progress]: simplifying candidates 0.600 * [simplify]: Simplifying using # : (* 3 (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re)) (+ (log 3) (+ (+ (log x.im) (log x.re)) (log x.re))) (+ (log 3) (+ (log (* x.im x.re)) (log x.re))) (+ (log 3) (log (* (* x.im x.re) x.re))) (log (* 3 (* (* x.im x.re) x.re))) (exp (* 3 (* (* x.im x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re)) (* (* x.re x.re) x.re))) (* (* (* 3 3) 3) (* (* (* (* x.im x.re) x.re) (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re))) (* (cbrt (* 3 (* (* x.im x.re) x.re))) (cbrt (* 3 (* (* x.im x.re) x.re)))) (cbrt (* 3 (* (* x.im x.re) x.re))) (* (* (* 3 (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re))) (* 3 (* (* x.im x.re) x.re))) (sqrt (* 3 (* (* x.im x.re) x.re))) (sqrt (* 3 (* (* x.im x.re) x.re))) (* 3 (* x.im x.re)) (* (cbrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (+ (+ (log x.im) (log x.re)) (log x.re)) (+ (log (* x.im x.re)) (log x.re)) (log (* (* x.im x.re) x.re)) (exp (* (* x.im x.re) x.re)) (* (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re)) (* (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re)) (* (* x.re x.re) x.re)) (* (cbrt (* (* x.im x.re) x.re)) (cbrt (* (* x.im x.re) x.re))) (cbrt (* (* x.im x.re) x.re)) (* (* (* (* x.im x.re) x.re) (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re)) (sqrt (* (* x.im x.re) x.re)) (sqrt (* (* x.im x.re) x.re)) (* (* x.im x.re) (* (cbrt x.re) (cbrt x.re))) (* (* x.im x.re) (sqrt x.re)) (* (* x.im x.re) 1) (* x.re x.re) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) 0.600 * [simplify]: Sending expressions to egg_math: (* 3 (* (* h0 h1) h1)) (* 3 (* (* h0 h1) h1)) (* 3 (* (* h0 h1) h1)) (+ (log 3) (+ (+ (log h0) (log h1)) (log h1))) (+ (log 3) (+ (log (* h0 h1)) (log h1))) (+ (log 3) (log (* (* h0 h1) h1))) (log (* 3 (* (* h0 h1) h1))) (exp (* 3 (* (* h0 h1) h1))) (* (* (* 3 3) 3) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h1 h1) h1))) (* (* (* 3 3) 3) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h1 h1) h1))) (* (* (* 3 3) 3) (* (* (* (* h0 h1) h1) (* (* h0 h1) h1)) (* (* h0 h1) h1))) (* (cbrt (* 3 (* (* h0 h1) h1))) (cbrt (* 3 (* (* h0 h1) h1)))) (cbrt (* 3 (* (* h0 h1) h1))) (* (* (* 3 (* (* h0 h1) h1)) (* 3 (* (* h0 h1) h1))) (* 3 (* (* h0 h1) h1))) (sqrt (* 3 (* (* h0 h1) h1))) (sqrt (* 3 (* (* h0 h1) h1))) (* 3 (* h0 h1)) (* (cbrt 3) (* (* h0 h1) h1)) (* (sqrt 3) (* (* h0 h1) h1)) (* 3 (* (* h0 h1) h1)) (* (* h0 h1) h1) (* (* h0 h1) h1) (+ (+ (log h0) (log h1)) (log h1)) (+ (log (* h0 h1)) (log h1)) (log (* (* h0 h1) h1)) (exp (* (* h0 h1) h1)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h1 h1) h1)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h1 h1) h1)) (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1)) (* (* (* (* h0 h1) h1) (* (* h0 h1) h1)) (* (* h0 h1) h1)) (sqrt (* (* h0 h1) h1)) (sqrt (* (* h0 h1) h1)) (* (* h0 h1) (* (cbrt h1) (cbrt h1))) (* (* h0 h1) (sqrt h1)) (* (* h0 h1) 1) (* h1 h1) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) 0.604 * * [simplify]: iteration 0 : 165 enodes (cost 181 ) 0.609 * * [simplify]: iteration 1 : 857 enodes (cost 145 ) 0.631 * * [simplify]: iteration 2 : 5001 enodes (cost 145 ) 0.632 * [simplify]: Simplified to: (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (log (* 3 (* (* x.im x.re) x.re))) (log (* 3 (* (* x.im x.re) x.re))) (log (* 3 (* (* x.im x.re) x.re))) (log (* 3 (* (* x.im x.re) x.re))) (exp (* 3 (* (* x.im x.re) x.re))) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* 3 (* (* x.im x.re) x.re))) (cbrt (* 3 (* (* x.im x.re) x.re)))) (cbrt (* 3 (* (* x.im x.re) x.re))) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* 3 (* (* x.im x.re) x.re))) (sqrt (* 3 (* (* x.im x.re) x.re))) (* 3 (* x.im x.re)) (* (cbrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (* 3 (* x.im (pow x.re 2))) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (log (* (* x.im x.re) x.re)) (log (* (* x.im x.re) x.re)) (log (* (* x.im x.re) x.re)) (exp (* (* x.im x.re) x.re)) (pow (* (* x.im x.re) x.re) 3) (pow (* (* x.im x.re) x.re) 3) (* (cbrt (* (* x.im x.re) x.re)) (cbrt (* (* x.im x.re) x.re))) (cbrt (* (* x.im x.re) x.re)) (pow (* (* x.im x.re) x.re) 3) (sqrt (* (* x.im x.re) x.re)) (sqrt (* (* x.im x.re) x.re)) (* (* x.im x.re) (* (cbrt x.re) (cbrt x.re))) (* (* x.im x.re) (sqrt x.re)) (* x.im x.re) (pow x.re 2) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) 0.633 * * * [progress]: adding candidates to table 0.696 * * [progress]: iteration 3 / 4 0.696 * * * [progress]: picking best candidate 0.704 * * * * [pick]: Picked # 0.704 * * * [progress]: localizing error 0.711 * * * [progress]: generating rewritten candidates 0.711 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.729 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.772 * * * [progress]: generating series expansions 0.773 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.773 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.773 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.773 * [taylor]: Taking taylor expansion of 3 in x.re 0.773 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.773 * [taylor]: Taking taylor expansion of x.im in x.re 0.773 * [taylor]: Taking taylor expansion of x.re in x.re 0.773 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.773 * [taylor]: Taking taylor expansion of 3 in x.im 0.773 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.773 * [taylor]: Taking taylor expansion of x.im in x.im 0.773 * [taylor]: Taking taylor expansion of x.re in x.im 0.773 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.773 * [taylor]: Taking taylor expansion of 3 in x.im 0.773 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.773 * [taylor]: Taking taylor expansion of x.im in x.im 0.773 * [taylor]: Taking taylor expansion of x.re in x.im 0.774 * [taylor]: Taking taylor expansion of 0 in x.re 0.774 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.774 * [taylor]: Taking taylor expansion of 3 in x.re 0.774 * [taylor]: Taking taylor expansion of x.re in x.re 0.777 * [taylor]: Taking taylor expansion of 0 in x.re 0.779 * [taylor]: Taking taylor expansion of 0 in x.re 0.781 * [taylor]: Taking taylor expansion of 0 in x.re 0.781 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.781 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.781 * [taylor]: Taking taylor expansion of 3 in x.re 0.781 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.781 * [taylor]: Taking taylor expansion of x.im in x.re 0.781 * [taylor]: Taking taylor expansion of x.re in x.re 0.782 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.782 * [taylor]: Taking taylor expansion of 3 in x.im 0.782 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.782 * [taylor]: Taking taylor expansion of x.im in x.im 0.782 * [taylor]: Taking taylor expansion of x.re in x.im 0.782 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.782 * [taylor]: Taking taylor expansion of 3 in x.im 0.782 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.782 * [taylor]: Taking taylor expansion of x.im in x.im 0.782 * [taylor]: Taking taylor expansion of x.re in x.im 0.782 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.782 * [taylor]: Taking taylor expansion of 3 in x.re 0.783 * [taylor]: Taking taylor expansion of x.re in x.re 0.783 * [taylor]: Taking taylor expansion of 0 in x.re 0.784 * [taylor]: Taking taylor expansion of 0 in x.re 0.786 * [taylor]: Taking taylor expansion of 0 in x.re 0.787 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.787 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.787 * [taylor]: Taking taylor expansion of 3 in x.re 0.787 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.787 * [taylor]: Taking taylor expansion of x.im in x.re 0.787 * [taylor]: Taking taylor expansion of x.re in x.re 0.787 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.787 * [taylor]: Taking taylor expansion of 3 in x.im 0.787 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.787 * [taylor]: Taking taylor expansion of x.im in x.im 0.787 * [taylor]: Taking taylor expansion of x.re in x.im 0.787 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.787 * [taylor]: Taking taylor expansion of 3 in x.im 0.787 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.787 * [taylor]: Taking taylor expansion of x.im in x.im 0.787 * [taylor]: Taking taylor expansion of x.re in x.im 0.788 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.788 * [taylor]: Taking taylor expansion of 3 in x.re 0.788 * [taylor]: Taking taylor expansion of x.re in x.re 0.789 * [taylor]: Taking taylor expansion of 0 in x.re 0.790 * [taylor]: Taking taylor expansion of 0 in x.re 0.791 * [taylor]: Taking taylor expansion of 0 in x.re 0.792 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.792 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.792 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.792 * [taylor]: Taking taylor expansion of 3 in x.re 0.792 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.792 * [taylor]: Taking taylor expansion of x.im in x.re 0.792 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.792 * [taylor]: Taking taylor expansion of x.re in x.re 0.792 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.792 * [taylor]: Taking taylor expansion of 3 in x.im 0.792 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.792 * [taylor]: Taking taylor expansion of x.im in x.im 0.792 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.792 * [taylor]: Taking taylor expansion of x.re in x.im 0.792 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.792 * [taylor]: Taking taylor expansion of 3 in x.im 0.792 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.792 * [taylor]: Taking taylor expansion of x.im in x.im 0.792 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.792 * [taylor]: Taking taylor expansion of x.re in x.im 0.793 * [taylor]: Taking taylor expansion of 0 in x.re 0.793 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.793 * [taylor]: Taking taylor expansion of 3 in x.re 0.793 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.793 * [taylor]: Taking taylor expansion of x.re in x.re 0.795 * [taylor]: Taking taylor expansion of 0 in x.re 0.798 * [taylor]: Taking taylor expansion of 0 in x.re 0.798 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.798 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.798 * [taylor]: Taking taylor expansion of 3 in x.re 0.798 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.798 * [taylor]: Taking taylor expansion of x.im in x.re 0.798 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.798 * [taylor]: Taking taylor expansion of x.re in x.re 0.798 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.798 * [taylor]: Taking taylor expansion of 3 in x.im 0.798 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.798 * [taylor]: Taking taylor expansion of x.im in x.im 0.798 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.798 * [taylor]: Taking taylor expansion of x.re in x.im 0.799 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.799 * [taylor]: Taking taylor expansion of 3 in x.im 0.799 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.799 * [taylor]: Taking taylor expansion of x.im in x.im 0.799 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.799 * [taylor]: Taking taylor expansion of x.re in x.im 0.799 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.799 * [taylor]: Taking taylor expansion of 3 in x.re 0.799 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.800 * [taylor]: Taking taylor expansion of x.re in x.re 0.801 * [taylor]: Taking taylor expansion of 0 in x.re 0.803 * [taylor]: Taking taylor expansion of 0 in x.re 0.806 * [taylor]: Taking taylor expansion of 0 in x.re 0.809 * [taylor]: Taking taylor expansion of 0 in x.re 0.809 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.809 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.809 * [taylor]: Taking taylor expansion of -3 in x.re 0.809 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.809 * [taylor]: Taking taylor expansion of x.im in x.re 0.809 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.809 * [taylor]: Taking taylor expansion of x.re in x.re 0.810 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.810 * [taylor]: Taking taylor expansion of -3 in x.im 0.810 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.810 * [taylor]: Taking taylor expansion of x.im in x.im 0.810 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.810 * [taylor]: Taking taylor expansion of x.re in x.im 0.810 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.810 * [taylor]: Taking taylor expansion of -3 in x.im 0.810 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.810 * [taylor]: Taking taylor expansion of x.im in x.im 0.811 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.811 * [taylor]: Taking taylor expansion of x.re in x.im 0.811 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.811 * [taylor]: Taking taylor expansion of -3 in x.re 0.811 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.811 * [taylor]: Taking taylor expansion of x.re in x.re 0.813 * [taylor]: Taking taylor expansion of 0 in x.re 0.815 * [taylor]: Taking taylor expansion of 0 in x.re 0.818 * [taylor]: Taking taylor expansion of 0 in x.re 0.821 * [taylor]: Taking taylor expansion of 0 in x.re 0.821 * * * [progress]: simplifying candidates 0.822 * [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.re) (* (* 3 (* x.im x.re)) x.re) (* (* 3 (* x.im x.re)) x.re) (+ (+ (log 3) (+ (log x.im) (log x.re))) (log x.re)) (+ (+ (log 3) (log (* x.im x.re))) (log x.re)) (+ (log (* 3 (* x.im x.re))) (log x.re)) (log (* (* 3 (* x.im x.re)) x.re)) (exp (* (* 3 (* x.im x.re)) x.re)) (* (* (* (* 3 3) 3) (* (* (* x.im x.im) x.im) (* (* x.re x.re) x.re))) (* (* x.re x.re) x.re)) (* (* (* (* 3 3) 3) (* (* (* x.im x.re) (* x.im x.re)) (* x.im x.re))) (* (* x.re x.re) x.re)) (* (* (* (* 3 (* x.im x.re)) (* 3 (* x.im x.re))) (* 3 (* x.im x.re))) (* (* x.re x.re) x.re)) (* (cbrt (* (* 3 (* x.im x.re)) x.re)) (cbrt (* (* 3 (* x.im x.re)) x.re))) (cbrt (* (* 3 (* x.im x.re)) x.re)) (* (* (* (* 3 (* x.im x.re)) x.re) (* (* 3 (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) x.re)) (sqrt (* (* 3 (* x.im x.re)) x.re)) (sqrt (* (* 3 (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) (* (cbrt x.re) (cbrt x.re))) (* (* 3 (* x.im x.re)) (sqrt x.re)) (* (* 3 (* x.im x.re)) 1) (* (* x.im x.re) x.re) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.822 * [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)) h1) (* (* 3 (* h0 h1)) h1) (* (* 3 (* h0 h1)) h1) (+ (+ (log 3) (+ (log h0) (log h1))) (log h1)) (+ (+ (log 3) (log (* h0 h1))) (log h1)) (+ (log (* 3 (* h0 h1))) (log h1)) (log (* (* 3 (* h0 h1)) h1)) (exp (* (* 3 (* h0 h1)) h1)) (* (* (* (* 3 3) 3) (* (* (* h0 h0) h0) (* (* h1 h1) h1))) (* (* h1 h1) h1)) (* (* (* (* 3 3) 3) (* (* (* h0 h1) (* h0 h1)) (* h0 h1))) (* (* h1 h1) h1)) (* (* (* (* 3 (* h0 h1)) (* 3 (* h0 h1))) (* 3 (* h0 h1))) (* (* h1 h1) h1)) (* (cbrt (* (* 3 (* h0 h1)) h1)) (cbrt (* (* 3 (* h0 h1)) h1))) (cbrt (* (* 3 (* h0 h1)) h1)) (* (* (* (* 3 (* h0 h1)) h1) (* (* 3 (* h0 h1)) h1)) (* (* 3 (* h0 h1)) h1)) (sqrt (* (* 3 (* h0 h1)) h1)) (sqrt (* (* 3 (* h0 h1)) h1)) (* (* 3 (* h0 h1)) (* (cbrt h1) (cbrt h1))) (* (* 3 (* h0 h1)) (sqrt h1)) (* (* 3 (* h0 h1)) 1) (* (* h0 h1) h1) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) 0.826 * * [simplify]: iteration 0 : 165 enodes (cost 177 ) 0.830 * * [simplify]: iteration 1 : 851 enodes (cost 145 ) 0.854 * * [simplify]: iteration 2 : 5002 enodes (cost 145 ) 0.855 * [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 (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (log (* (* 3 (* x.im x.re)) x.re)) (log (* (* 3 (* x.im x.re)) x.re)) (log (* (* 3 (* x.im x.re)) x.re)) (log (* (* 3 (* x.im x.re)) x.re)) (exp (* (* 3 (* x.im x.re)) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* (* 3 (* x.im x.re)) x.re)) (cbrt (* (* 3 (* x.im x.re)) x.re))) (cbrt (* (* 3 (* x.im x.re)) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* (* 3 (* x.im x.re)) x.re)) (sqrt (* (* 3 (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) (* (cbrt x.re) (cbrt x.re))) (* (* 3 (* x.im x.re)) (sqrt x.re)) (* 3 (* x.im x.re)) (* (* x.im x.re) x.re) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.856 * * * [progress]: adding candidates to table 0.917 * * [progress]: iteration 4 / 4 0.917 * * * [progress]: picking best candidate 0.924 * * * * [pick]: Picked # 0.924 * * * [progress]: localizing error 0.934 * * * [progress]: generating rewritten candidates 0.934 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.984 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 1.003 * * * [progress]: generating series expansions 1.003 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.003 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.003 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 1.003 * [taylor]: Taking taylor expansion of 3 in x.re 1.003 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.003 * [taylor]: Taking taylor expansion of x.im in x.re 1.003 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.003 * [taylor]: Taking taylor expansion of x.re in x.re 1.003 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 1.003 * [taylor]: Taking taylor expansion of 3 in x.im 1.003 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.003 * [taylor]: Taking taylor expansion of x.im in x.im 1.003 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.003 * [taylor]: Taking taylor expansion of x.re in x.im 1.003 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 1.003 * [taylor]: Taking taylor expansion of 3 in x.im 1.003 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.003 * [taylor]: Taking taylor expansion of x.im in x.im 1.003 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.003 * [taylor]: Taking taylor expansion of x.re in x.im 1.004 * [taylor]: Taking taylor expansion of 0 in x.re 1.005 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 1.005 * [taylor]: Taking taylor expansion of 3 in x.re 1.005 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.005 * [taylor]: Taking taylor expansion of x.re in x.re 1.007 * [taylor]: Taking taylor expansion of 0 in x.re 1.009 * [taylor]: Taking taylor expansion of 0 in x.re 1.009 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.009 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 1.009 * [taylor]: Taking taylor expansion of 3 in x.re 1.009 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.009 * [taylor]: Taking taylor expansion of x.im in x.re 1.009 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.009 * [taylor]: Taking taylor expansion of x.re in x.re 1.010 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 1.010 * [taylor]: Taking taylor expansion of 3 in x.im 1.010 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.010 * [taylor]: Taking taylor expansion of x.im in x.im 1.010 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.010 * [taylor]: Taking taylor expansion of x.re in x.im 1.010 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 1.010 * [taylor]: Taking taylor expansion of 3 in x.im 1.010 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.010 * [taylor]: Taking taylor expansion of x.im in x.im 1.010 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.010 * [taylor]: Taking taylor expansion of x.re in x.im 1.011 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 1.011 * [taylor]: Taking taylor expansion of 3 in x.re 1.011 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.011 * [taylor]: Taking taylor expansion of x.re in x.re 1.012 * [taylor]: Taking taylor expansion of 0 in x.re 1.014 * [taylor]: Taking taylor expansion of 0 in x.re 1.017 * [taylor]: Taking taylor expansion of 0 in x.re 1.021 * [taylor]: Taking taylor expansion of 0 in x.re 1.021 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.021 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 1.021 * [taylor]: Taking taylor expansion of -3 in x.re 1.021 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.021 * [taylor]: Taking taylor expansion of x.im in x.re 1.021 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.021 * [taylor]: Taking taylor expansion of x.re in x.re 1.021 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 1.021 * [taylor]: Taking taylor expansion of -3 in x.im 1.021 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.021 * [taylor]: Taking taylor expansion of x.im in x.im 1.021 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.021 * [taylor]: Taking taylor expansion of x.re in x.im 1.022 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 1.022 * [taylor]: Taking taylor expansion of -3 in x.im 1.022 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.022 * [taylor]: Taking taylor expansion of x.im in x.im 1.022 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.022 * [taylor]: Taking taylor expansion of x.re in x.im 1.022 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 1.022 * [taylor]: Taking taylor expansion of -3 in x.re 1.023 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.023 * [taylor]: Taking taylor expansion of x.re in x.re 1.024 * [taylor]: Taking taylor expansion of 0 in x.re 1.026 * [taylor]: Taking taylor expansion of 0 in x.re 1.029 * [taylor]: Taking taylor expansion of 0 in x.re 1.032 * [taylor]: Taking taylor expansion of 0 in x.re 1.033 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 1.033 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 1.033 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 1.033 * [taylor]: Taking taylor expansion of 3 in x.re 1.033 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.033 * [taylor]: Taking taylor expansion of x.im in x.re 1.033 * [taylor]: Taking taylor expansion of x.re in x.re 1.033 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 1.033 * [taylor]: Taking taylor expansion of 3 in x.im 1.033 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.033 * [taylor]: Taking taylor expansion of x.im in x.im 1.033 * [taylor]: Taking taylor expansion of x.re in x.im 1.033 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 1.033 * [taylor]: Taking taylor expansion of 3 in x.im 1.033 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.033 * [taylor]: Taking taylor expansion of x.im in x.im 1.033 * [taylor]: Taking taylor expansion of x.re in x.im 1.033 * [taylor]: Taking taylor expansion of 0 in x.re 1.034 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 1.034 * [taylor]: Taking taylor expansion of 3 in x.re 1.034 * [taylor]: Taking taylor expansion of x.re in x.re 1.035 * [taylor]: Taking taylor expansion of 0 in x.re 1.037 * [taylor]: Taking taylor expansion of 0 in x.re 1.039 * [taylor]: Taking taylor expansion of 0 in x.re 1.039 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 1.039 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 1.039 * [taylor]: Taking taylor expansion of 3 in x.re 1.039 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.039 * [taylor]: Taking taylor expansion of x.im in x.re 1.039 * [taylor]: Taking taylor expansion of x.re in x.re 1.039 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.039 * [taylor]: Taking taylor expansion of 3 in x.im 1.039 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.039 * [taylor]: Taking taylor expansion of x.im in x.im 1.039 * [taylor]: Taking taylor expansion of x.re in x.im 1.040 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.040 * [taylor]: Taking taylor expansion of 3 in x.im 1.040 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.040 * [taylor]: Taking taylor expansion of x.im in x.im 1.040 * [taylor]: Taking taylor expansion of x.re in x.im 1.040 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 1.040 * [taylor]: Taking taylor expansion of 3 in x.re 1.040 * [taylor]: Taking taylor expansion of x.re in x.re 1.041 * [taylor]: Taking taylor expansion of 0 in x.re 1.042 * [taylor]: Taking taylor expansion of 0 in x.re 1.043 * [taylor]: Taking taylor expansion of 0 in x.re 1.044 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 1.044 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 1.044 * [taylor]: Taking taylor expansion of 3 in x.re 1.044 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.044 * [taylor]: Taking taylor expansion of x.im in x.re 1.044 * [taylor]: Taking taylor expansion of x.re in x.re 1.045 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.045 * [taylor]: Taking taylor expansion of 3 in x.im 1.045 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.045 * [taylor]: Taking taylor expansion of x.im in x.im 1.045 * [taylor]: Taking taylor expansion of x.re in x.im 1.045 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.045 * [taylor]: Taking taylor expansion of 3 in x.im 1.045 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.045 * [taylor]: Taking taylor expansion of x.im in x.im 1.045 * [taylor]: Taking taylor expansion of x.re in x.im 1.045 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 1.045 * [taylor]: Taking taylor expansion of 3 in x.re 1.045 * [taylor]: Taking taylor expansion of x.re in x.re 1.046 * [taylor]: Taking taylor expansion of 0 in x.re 1.047 * [taylor]: Taking taylor expansion of 0 in x.re 1.049 * [taylor]: Taking taylor expansion of 0 in x.re 1.049 * * * [progress]: simplifying candidates 1.050 * [simplify]: Simplifying using # : (* (* (* 3 x.im) x.re) x.re) (* (* (* 3 x.im) x.re) x.re) (* (* (* 3 x.im) x.re) x.re) (+ (+ (+ (log 3) (log x.im)) (log x.re)) (log x.re)) (+ (+ (log (* 3 x.im)) (log x.re)) (log x.re)) (+ (log (* (* 3 x.im) x.re)) (log x.re)) (log (* (* (* 3 x.im) x.re) x.re)) (exp (* (* (* 3 x.im) x.re) x.re)) (* (* (* (* (* 3 3) 3) (* (* x.im x.im) x.im)) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re)) (* (* (* (* (* 3 x.im) (* 3 x.im)) (* 3 x.im)) (* (* x.re x.re) x.re)) (* (* x.re x.re) x.re)) (* (* (* (* (* 3 x.im) x.re) (* (* 3 x.im) x.re)) (* (* 3 x.im) x.re)) (* (* x.re x.re) x.re)) (* (cbrt (* (* (* 3 x.im) x.re) x.re)) (cbrt (* (* (* 3 x.im) x.re) x.re))) (cbrt (* (* (* 3 x.im) x.re) x.re)) (* (* (* (* (* 3 x.im) x.re) x.re) (* (* (* 3 x.im) x.re) x.re)) (* (* (* 3 x.im) x.re) x.re)) (sqrt (* (* (* 3 x.im) x.re) x.re)) (sqrt (* (* (* 3 x.im) x.re) x.re)) (* (* (* 3 x.im) x.re) (* (cbrt x.re) (cbrt x.re))) (* (* (* 3 x.im) x.re) (sqrt x.re)) (* (* (* 3 x.im) x.re) 1) (* x.re x.re) (* (* 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 (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) 1.050 * [simplify]: Sending expressions to egg_math: (* (* (* 3 h0) h1) h1) (* (* (* 3 h0) h1) h1) (* (* (* 3 h0) h1) h1) (+ (+ (+ (log 3) (log h0)) (log h1)) (log h1)) (+ (+ (log (* 3 h0)) (log h1)) (log h1)) (+ (log (* (* 3 h0) h1)) (log h1)) (log (* (* (* 3 h0) h1) h1)) (exp (* (* (* 3 h0) h1) h1)) (* (* (* (* (* 3 3) 3) (* (* h0 h0) h0)) (* (* h1 h1) h1)) (* (* h1 h1) h1)) (* (* (* (* (* 3 h0) (* 3 h0)) (* 3 h0)) (* (* h1 h1) h1)) (* (* h1 h1) h1)) (* (* (* (* (* 3 h0) h1) (* (* 3 h0) h1)) (* (* 3 h0) h1)) (* (* h1 h1) h1)) (* (cbrt (* (* (* 3 h0) h1) h1)) (cbrt (* (* (* 3 h0) h1) h1))) (cbrt (* (* (* 3 h0) h1) h1)) (* (* (* (* (* 3 h0) h1) h1) (* (* (* 3 h0) h1) h1)) (* (* (* 3 h0) h1) h1)) (sqrt (* (* (* 3 h0) h1) h1)) (sqrt (* (* (* 3 h0) h1) h1)) (* (* (* 3 h0) h1) (* (cbrt h1) (cbrt h1))) (* (* (* 3 h0) h1) (sqrt h1)) (* (* (* 3 h0) h1) 1) (* h1 h1) (* (* 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 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* h0 h1)) 1.054 * * [simplify]: iteration 0 : 167 enodes (cost 179 ) 1.059 * * [simplify]: iteration 1 : 990 enodes (cost 145 ) 1.085 * * [simplify]: iteration 2 : 5002 enodes (cost 145 ) 1.086 * [simplify]: Simplified to: (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (log (* (* (* 3 x.im) x.re) x.re)) (log (* (* (* 3 x.im) x.re) x.re)) (log (* (* (* 3 x.im) x.re) x.re)) (log (* (* (* 3 x.im) x.re) x.re)) (exp (* (* (* 3 x.im) x.re) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* (* (* 3 x.im) x.re) x.re)) (cbrt (* (* (* 3 x.im) x.re) x.re))) (cbrt (* (* (* 3 x.im) x.re) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* (* (* 3 x.im) x.re) x.re)) (sqrt (* (* (* 3 x.im) x.re) x.re)) (* (* (* 3 x.im) x.re) (* (cbrt x.re) (cbrt x.re))) (* (* (* 3 x.im) x.re) (sqrt x.re)) (* (* 3 x.im) x.re) (pow x.re 2) (* (* 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 (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) 1.087 * * * [progress]: adding candidates to table 1.150 * [progress]: [Phase 3 of 3] Extracting. 1.150 * * [regime]: Finding splitpoints for: (# # # # # #) 1.151 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 1.151 * * * * [regimes]: Trying to branch on x.im from (# # # # # #) 1.170 * * * * [regimes]: Trying to branch on x.re from (# # # # # #) 1.193 * * * [regime]: Found split indices: #