6.678 * [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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) 0.029 * [simplify]: Sending expressions to egg_math: (+ (* (- (* h0 h0) (* h1 h1)) h1) (* (+ (* h0 h1) (* h1 h0)) h0)) 0.032 * * [simplify]: iteration 0 : 23 enodes (cost 8 ) 0.034 * * [simplify]: iteration 1 : 56 enodes (cost 7 ) 0.035 * * [simplify]: iteration 2 : 129 enodes (cost 7 ) 0.039 * * [simplify]: iteration 3 : 353 enodes (cost 5 ) 0.045 * * [simplify]: iteration 4 : 948 enodes (cost 5 ) 0.059 * * [simplify]: iteration 5 : 2260 enodes (cost 5 ) 0.093 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.093 * [simplify]: Simplified to: (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) 0.096 * * [progress]: iteration 1 / 4 0.096 * * * [progress]: picking best candidate 0.099 * * * * [pick]: Picked # 0.099 * * * [progress]: localizing error 0.106 * * * [progress]: generating rewritten candidates 0.106 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.124 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.170 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.227 * * * [progress]: generating series expansions 0.227 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.227 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.227 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.227 * [taylor]: Taking taylor expansion of x.im in x.re 0.227 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.227 * [taylor]: Taking taylor expansion of x.re in x.re 0.227 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.227 * [taylor]: Taking taylor expansion of x.im in x.im 0.227 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.227 * [taylor]: Taking taylor expansion of x.re in x.im 0.227 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.227 * [taylor]: Taking taylor expansion of x.im in x.im 0.227 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.227 * [taylor]: Taking taylor expansion of x.re in x.im 0.228 * [taylor]: Taking taylor expansion of 0 in x.re 0.228 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.228 * [taylor]: Taking taylor expansion of x.re in x.re 0.229 * [taylor]: Taking taylor expansion of 0 in x.re 0.231 * [taylor]: Taking taylor expansion of 0 in x.re 0.231 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.231 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.231 * [taylor]: Taking taylor expansion of x.im in x.re 0.231 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.231 * [taylor]: Taking taylor expansion of x.re in x.re 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.231 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.231 * [taylor]: Taking taylor expansion of x.im in x.im 0.231 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.231 * [taylor]: Taking taylor expansion of x.re in x.im 0.232 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.232 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.232 * [taylor]: Taking taylor expansion of x.im in x.im 0.232 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.232 * [taylor]: Taking taylor expansion of x.re in x.im 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.233 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.233 * [taylor]: Taking taylor expansion of x.re in x.re 0.234 * [taylor]: Taking taylor expansion of 0 in x.re 0.236 * [taylor]: Taking taylor expansion of 0 in x.re 0.239 * [taylor]: Taking taylor expansion of 0 in x.re 0.242 * [taylor]: Taking taylor expansion of 0 in x.re 0.242 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.242 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.242 * [taylor]: Taking taylor expansion of -1 in x.re 0.242 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.242 * [taylor]: Taking taylor expansion of x.im in x.re 0.243 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.243 * [taylor]: Taking taylor expansion of x.re in x.re 0.243 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.243 * [taylor]: Taking taylor expansion of -1 in x.im 0.243 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.243 * [taylor]: Taking taylor expansion of x.im in x.im 0.243 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.243 * [taylor]: Taking taylor expansion of x.re in x.im 0.243 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.243 * [taylor]: Taking taylor expansion of -1 in x.im 0.243 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.243 * [taylor]: Taking taylor expansion of x.im in x.im 0.243 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.243 * [taylor]: Taking taylor expansion of x.re in x.im 0.244 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.244 * [taylor]: Taking taylor expansion of -1 in x.re 0.244 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.244 * [taylor]: Taking taylor expansion of x.re in x.re 0.246 * [taylor]: Taking taylor expansion of 0 in x.re 0.248 * [taylor]: Taking taylor expansion of 0 in x.re 0.251 * [taylor]: Taking taylor expansion of 0 in x.re 0.254 * [taylor]: Taking taylor expansion of 0 in x.re 0.254 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.254 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.254 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.254 * [taylor]: Taking taylor expansion of 3 in x.re 0.254 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.254 * [taylor]: Taking taylor expansion of x.im in x.re 0.254 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.254 * [taylor]: Taking taylor expansion of x.re in x.re 0.254 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.254 * [taylor]: Taking taylor expansion of 3 in x.im 0.254 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.254 * [taylor]: Taking taylor expansion of x.im in x.im 0.254 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.254 * [taylor]: Taking taylor expansion of x.re in x.im 0.254 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.254 * [taylor]: Taking taylor expansion of 3 in x.im 0.254 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.254 * [taylor]: Taking taylor expansion of x.im in x.im 0.254 * [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 (* 3 (pow x.re 2)) in x.re 0.256 * [taylor]: Taking taylor expansion of 3 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 0.260 * [taylor]: Taking taylor expansion of 0 in x.re 0.260 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.260 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.260 * [taylor]: Taking taylor expansion of 3 in x.re 0.260 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.260 * [taylor]: Taking taylor expansion of x.im 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 0.260 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.260 * [taylor]: Taking taylor expansion of 3 in x.im 0.261 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.261 * [taylor]: Taking taylor expansion of x.im in x.im 0.261 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.261 * [taylor]: Taking taylor expansion of x.re in x.im 0.261 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.261 * [taylor]: Taking taylor expansion of 3 in x.im 0.261 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.261 * [taylor]: Taking taylor expansion of x.im in x.im 0.261 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.261 * [taylor]: Taking taylor expansion of x.re in x.im 0.262 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.262 * [taylor]: Taking taylor expansion of 3 in x.re 0.262 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.262 * [taylor]: Taking taylor expansion of x.re in x.re 0.263 * [taylor]: Taking taylor expansion of 0 in x.re 0.265 * [taylor]: Taking taylor expansion of 0 in x.re 0.268 * [taylor]: Taking taylor expansion of 0 in x.re 0.274 * [taylor]: Taking taylor expansion of 0 in x.re 0.274 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.274 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.274 * [taylor]: Taking taylor expansion of -3 in x.re 0.274 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.274 * [taylor]: Taking taylor expansion of x.im in x.re 0.274 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.274 * [taylor]: Taking taylor expansion of x.re in x.re 0.274 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.275 * [taylor]: Taking taylor expansion of -3 in x.im 0.275 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.275 * [taylor]: Taking taylor expansion of x.im in x.im 0.275 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.275 * [taylor]: Taking taylor expansion of x.re in x.im 0.275 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.275 * [taylor]: Taking taylor expansion of -3 in x.im 0.275 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.275 * [taylor]: Taking taylor expansion of x.im in x.im 0.275 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.275 * [taylor]: Taking taylor expansion of x.re in x.im 0.276 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.276 * [taylor]: Taking taylor expansion of -3 in x.re 0.276 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.276 * [taylor]: Taking taylor expansion of x.re in x.re 0.277 * [taylor]: Taking taylor expansion of 0 in x.re 0.279 * [taylor]: Taking taylor expansion of 0 in x.re 0.282 * [taylor]: Taking taylor expansion of 0 in x.re 0.285 * [taylor]: Taking taylor expansion of 0 in x.re 0.286 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.286 * [approximate]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in (x.im x.re) around 0 0.286 * [taylor]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in x.re 0.286 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.286 * [taylor]: Taking taylor expansion of 3 in x.re 0.286 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.286 * [taylor]: Taking taylor expansion of x.im in x.re 0.286 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.286 * [taylor]: Taking taylor expansion of x.re in x.re 0.286 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.re 0.286 * [taylor]: Taking taylor expansion of x.im in x.re 0.286 * [taylor]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in x.im 0.286 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.286 * [taylor]: Taking taylor expansion of 3 in x.im 0.286 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.286 * [taylor]: Taking taylor expansion of x.im in x.im 0.286 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.286 * [taylor]: Taking taylor expansion of x.re in x.im 0.286 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 0.286 * [taylor]: Taking taylor expansion of x.im in x.im 0.286 * [taylor]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in x.im 0.286 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.286 * [taylor]: Taking taylor expansion of 3 in x.im 0.286 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.286 * [taylor]: Taking taylor expansion of x.im in x.im 0.286 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.286 * [taylor]: Taking taylor expansion of x.re in x.im 0.286 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 0.286 * [taylor]: Taking taylor expansion of x.im in x.im 0.287 * [taylor]: Taking taylor expansion of 0 in x.re 0.288 * [taylor]: Taking taylor expansion of (* 3 (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 (pow x.re 2) in x.re 0.288 * [taylor]: Taking taylor expansion of x.re in x.re 0.289 * [taylor]: Taking taylor expansion of 0 in x.re 0.292 * [taylor]: Taking taylor expansion of -1 in x.re 0.296 * [taylor]: Taking taylor expansion of 0 in x.re 0.297 * [approximate]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in (x.im x.re) around 0 0.297 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in x.re 0.297 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.re 0.297 * [taylor]: Taking taylor expansion of 3 in x.re 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.297 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.297 * [taylor]: Taking taylor expansion of x.im in x.re 0.297 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.297 * [taylor]: Taking taylor expansion of x.re in x.re 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.re 0.297 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.re 0.297 * [taylor]: Taking taylor expansion of x.im in x.re 0.298 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in x.im 0.298 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 0.298 * [taylor]: Taking taylor expansion of 3 in x.im 0.298 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.298 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.298 * [taylor]: Taking taylor expansion of x.im in x.im 0.298 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.298 * [taylor]: Taking taylor expansion of x.re in x.im 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 0.298 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 0.298 * [taylor]: Taking taylor expansion of x.im in x.im 0.299 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in x.im 0.299 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 0.299 * [taylor]: Taking taylor expansion of 3 in x.im 0.299 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.299 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.299 * [taylor]: Taking taylor expansion of x.im in x.im 0.299 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.299 * [taylor]: Taking taylor expansion of x.re in x.im 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 0.299 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 0.299 * [taylor]: Taking taylor expansion of x.im in x.im 0.300 * [taylor]: Taking taylor expansion of -1 in x.re 0.302 * [taylor]: Taking taylor expansion of 0 in x.re 0.304 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.re 2))) in x.re 0.304 * [taylor]: Taking taylor expansion of 3 in x.re 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.304 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.304 * [taylor]: Taking taylor expansion of x.re in x.re 0.307 * [taylor]: Taking taylor expansion of 0 in x.re 0.312 * [taylor]: Taking taylor expansion of 0 in x.re 0.314 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in (x.im x.re) around 0 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in x.re 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.re 0.314 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.re 0.314 * [taylor]: Taking taylor expansion of x.im in x.re 0.315 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.re 0.315 * [taylor]: Taking taylor expansion of 3 in x.re 0.315 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.315 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.315 * [taylor]: Taking taylor expansion of x.im in x.re 0.315 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.315 * [taylor]: Taking taylor expansion of x.re in x.re 0.315 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in x.im 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 0.315 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 0.315 * [taylor]: Taking taylor expansion of x.im in x.im 0.316 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 0.316 * [taylor]: Taking taylor expansion of 3 in x.im 0.316 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.316 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.316 * [taylor]: Taking taylor expansion of x.im in x.im 0.316 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.316 * [taylor]: Taking taylor expansion of x.re in x.im 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in x.im 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 0.316 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 0.316 * [taylor]: Taking taylor expansion of x.im in x.im 0.317 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 0.317 * [taylor]: Taking taylor expansion of 3 in x.im 0.317 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.317 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.317 * [taylor]: Taking taylor expansion of x.im in x.im 0.317 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.317 * [taylor]: Taking taylor expansion of x.re in x.im 0.318 * [taylor]: Taking taylor expansion of 1 in x.re 0.319 * [taylor]: Taking taylor expansion of 0 in x.re 0.321 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.re 2)))) in x.re 0.321 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.re 2))) in x.re 0.321 * [taylor]: Taking taylor expansion of 3 in x.re 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.321 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.321 * [taylor]: Taking taylor expansion of x.re in x.re 0.325 * [taylor]: Taking taylor expansion of 0 in x.re 0.330 * [taylor]: Taking taylor expansion of 0 in x.re 0.332 * * * [progress]: simplifying candidates 0.333 * [simplify]: Simplifying using # : (expm1 (* x.im (* x.re x.re))) (log1p (* 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) (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)) (expm1 (* 3 (* x.im (* x.re x.re)))) (log1p (* 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))) (+ (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))) (fma 3 (* x.im (* x.re x.re)) (- (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3)))) (fma (- (pow (cbrt x.im) 3)) (pow (* (cbrt x.im) (cbrt x.im)) 3) (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3))) (fma 3 (* x.im (* x.re x.re)) (- (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3)))) (fma (- (pow (sqrt x.im) 3)) (pow (sqrt x.im) 3) (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3))) (fma 3 (* x.im (* x.re x.re)) (- (* (pow x.im 3) (pow 1 3)))) (fma (- (pow x.im 3)) (pow 1 3) (* (pow x.im 3) (pow 1 3))) (fma 3 (* x.im (* x.re x.re)) (- (* x.im (* x.im x.im)))) (fma (- x.im) (* x.im x.im) (* x.im (* x.im x.im))) (fma 3 (* x.im (* x.re x.re)) (- (* (cbrt (pow x.im 3)) (* (cbrt (pow x.im 3)) (cbrt (pow x.im 3)))))) (fma (- (cbrt (pow x.im 3))) (* (cbrt (pow x.im 3)) (cbrt (pow x.im 3))) (* (cbrt (pow x.im 3)) (* (cbrt (pow x.im 3)) (cbrt (pow x.im 3))))) (fma 3 (* x.im (* x.re x.re)) (- (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3)))) (fma (- (pow (cbrt x.im) 3)) (pow (* (cbrt x.im) (cbrt x.im)) 3) (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3))) (fma 3 (* x.im (* x.re x.re)) (- (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3)))) (fma (- (pow (sqrt x.im) 3)) (pow (sqrt x.im) 3) (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3))) (fma 3 (* x.im (* x.re x.re)) (- (* (pow x.im 3) (pow 1 3)))) (fma (- (pow x.im 3)) (pow 1 3) (* (pow x.im 3) (pow 1 3))) (fma 3 (* x.im (* x.re x.re)) (- (* (* x.im x.im) x.im))) (fma (- (* x.im x.im)) x.im (* (* x.im x.im) x.im)) (fma 3 (* x.im (* x.re x.re)) (- (* (sqrt (pow x.im 3)) (sqrt (pow x.im 3))))) (fma (- (sqrt (pow x.im 3))) (sqrt (pow x.im 3)) (* (sqrt (pow x.im 3)) (sqrt (pow x.im 3)))) (fma 3 (* x.im (* x.re x.re)) (- (* (pow x.im 3) 1))) (fma (- (pow x.im 3)) 1 (* (pow x.im 3) 1)) (fma 3 (* x.im (* x.re x.re)) (- (* (pow x.im (/ 3 2)) (pow x.im (/ 3 2))))) (fma (- (pow x.im (/ 3 2))) (pow x.im (/ 3 2)) (* (pow x.im (/ 3 2)) (pow x.im (/ 3 2)))) (expm1 (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (log1p (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (- (pow x.im 3)) (/ (exp (* 3 (* x.im (* x.re x.re)))) (exp (pow x.im 3))) (log (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (exp (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (* (cbrt (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (cbrt (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)))) (cbrt (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (* (* (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (sqrt (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (sqrt (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (- (pow (* 3 (* x.im (* x.re x.re))) 3) (pow (pow x.im 3) 3)) (+ (* (* 3 (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re)))) (+ (* (pow x.im 3) (pow x.im 3)) (* (* 3 (* x.im (* x.re x.re))) (pow x.im 3)))) (- (pow x.im 3)) (- (* (* 3 (* x.im (* x.re x.re))) (* 3 (* x.im (* x.re x.re)))) (* (pow x.im 3) (pow x.im 3))) (+ (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (- (pow x.im 3)) (* 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))) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) 0.333 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (* h1 h1))) (log1p (* h0 (* h1 h1))) (* 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)) (expm1 (* 3 (* h0 (* h1 h1)))) (log1p (* 3 (* 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))) (fma 3 (* h0 (* h1 h1)) (- (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3)))) (fma (- (pow (cbrt h0) 3)) (pow (* (cbrt h0) (cbrt h0)) 3) (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3))) (fma 3 (* h0 (* h1 h1)) (- (* (pow (sqrt h0) 3) (pow (sqrt h0) 3)))) (fma (- (pow (sqrt h0) 3)) (pow (sqrt h0) 3) (* (pow (sqrt h0) 3) (pow (sqrt h0) 3))) (fma 3 (* h0 (* h1 h1)) (- (* (pow h0 3) (pow 1 3)))) (fma (- (pow h0 3)) (pow 1 3) (* (pow h0 3) (pow 1 3))) (fma 3 (* h0 (* h1 h1)) (- (* h0 (* h0 h0)))) (fma (- h0) (* h0 h0) (* h0 (* h0 h0))) (fma 3 (* h0 (* h1 h1)) (- (* (cbrt (pow h0 3)) (* (cbrt (pow h0 3)) (cbrt (pow h0 3)))))) (fma (- (cbrt (pow h0 3))) (* (cbrt (pow h0 3)) (cbrt (pow h0 3))) (* (cbrt (pow h0 3)) (* (cbrt (pow h0 3)) (cbrt (pow h0 3))))) (fma 3 (* h0 (* h1 h1)) (- (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3)))) (fma (- (pow (cbrt h0) 3)) (pow (* (cbrt h0) (cbrt h0)) 3) (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3))) (fma 3 (* h0 (* h1 h1)) (- (* (pow (sqrt h0) 3) (pow (sqrt h0) 3)))) (fma (- (pow (sqrt h0) 3)) (pow (sqrt h0) 3) (* (pow (sqrt h0) 3) (pow (sqrt h0) 3))) (fma 3 (* h0 (* h1 h1)) (- (* (pow h0 3) (pow 1 3)))) (fma (- (pow h0 3)) (pow 1 3) (* (pow h0 3) (pow 1 3))) (fma 3 (* h0 (* h1 h1)) (- (* (* h0 h0) h0))) (fma (- (* h0 h0)) h0 (* (* h0 h0) h0)) (fma 3 (* h0 (* h1 h1)) (- (* (sqrt (pow h0 3)) (sqrt (pow h0 3))))) (fma (- (sqrt (pow h0 3))) (sqrt (pow h0 3)) (* (sqrt (pow h0 3)) (sqrt (pow h0 3)))) (fma 3 (* h0 (* h1 h1)) (- (* (pow h0 3) 1))) (fma (- (pow h0 3)) 1 (* (pow h0 3) 1)) (fma 3 (* h0 (* h1 h1)) (- (* (pow h0 (/ 3 2)) (pow h0 (/ 3 2))))) (fma (- (pow h0 (/ 3 2))) (pow h0 (/ 3 2)) (* (pow h0 (/ 3 2)) (pow h0 (/ 3 2)))) (expm1 (- (* 3 (* h0 (* h1 h1))) (pow h0 3))) (log1p (- (* 3 (* h0 (* h1 h1))) (pow h0 3))) (- (pow h0 3)) (/ (exp (* 3 (* h0 (* h1 h1)))) (exp (pow h0 3))) (log (- (* 3 (* h0 (* h1 h1))) (pow h0 3))) (exp (- (* 3 (* h0 (* h1 h1))) (pow h0 3))) (* (cbrt (- (* 3 (* h0 (* h1 h1))) (pow h0 3))) (cbrt (- (* 3 (* h0 (* h1 h1))) (pow h0 3)))) (cbrt (- (* 3 (* h0 (* h1 h1))) (pow h0 3))) (* (* (- (* 3 (* h0 (* h1 h1))) (pow h0 3)) (- (* 3 (* h0 (* h1 h1))) (pow h0 3))) (- (* 3 (* h0 (* h1 h1))) (pow h0 3))) (sqrt (- (* 3 (* h0 (* h1 h1))) (pow h0 3))) (sqrt (- (* 3 (* h0 (* h1 h1))) (pow h0 3))) (- (pow (* 3 (* h0 (* h1 h1))) 3) (pow (pow h0 3) 3)) (+ (* (* 3 (* h0 (* h1 h1))) (* 3 (* h0 (* h1 h1)))) (+ (* (pow h0 3) (pow h0 3)) (* (* 3 (* h0 (* h1 h1))) (pow h0 3)))) (- (pow h0 3)) (- (* (* 3 (* h0 (* h1 h1))) (* 3 (* h0 (* h1 h1)))) (* (pow h0 3) (pow h0 3))) (+ (* 3 (* h0 (* h1 h1))) (pow h0 3)) (- (pow h0 3)) (* 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))) (- (* 3 (* h0 (pow h1 2))) (pow h0 3)) (- (* 3 (* h0 (pow h1 2))) (pow h0 3)) (- (* 3 (* h0 (pow h1 2))) (pow h0 3)) 0.338 * * [simplify]: iteration 0 : 341 enodes (cost 461 ) 0.346 * * [simplify]: iteration 1 : 1599 enodes (cost 389 ) 0.397 * * [simplify]: iteration 2 : 5001 enodes (cost 386 ) 0.399 * [simplify]: Simplified to: (expm1 (* x.im (* x.re x.re))) (log1p (* x.im (* x.re x.re))) (* 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)) (expm1 (* 3 (* x.im (* x.re x.re)))) (log1p (* 3 (* 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 (* x.re x.re))) 3) (pow (* 3 (* x.im (* x.re x.re))) 3) (pow (* 3 (* x.im (* x.re x.re))) 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 (* x.re x.re))) 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))) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (expm1 (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (log1p (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (- (pow x.im 3)) (exp (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (log (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (exp (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (* (cbrt (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (cbrt (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)))) (cbrt (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (pow (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) 3) (sqrt (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (sqrt (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))) (- (pow (* 3 (* x.im (* x.re x.re))) 3) (pow (pow x.im 3) 3)) (fma (* x.im (* x.im (pow x.re 4))) 9 (fma 3 (* (* x.im (* x.re x.re)) (pow x.im 3)) (pow x.im 6))) (- (pow x.im 3)) (fma (* x.im (* x.im (pow x.re 4))) 9 (- (* (pow x.im 3) (pow x.im 3)))) (fma 3 (* x.im (* x.re x.re)) (pow x.im 3)) (- (pow x.im 3)) (* 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))) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) 0.399 * * * [progress]: adding candidates to table 0.519 * * [progress]: iteration 2 / 4 0.519 * * * [progress]: picking best candidate 0.537 * * * * [pick]: Picked # 0.537 * * * [progress]: localizing error 0.545 * * * [progress]: generating rewritten candidates 0.545 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.593 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.612 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.671 * * * [progress]: generating series expansions 0.671 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.671 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.671 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.671 * [taylor]: Taking taylor expansion of 3 in x.re 0.671 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.671 * [taylor]: Taking taylor expansion of x.im in x.re 0.671 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.671 * [taylor]: Taking taylor expansion of x.re in x.re 0.671 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.671 * [taylor]: Taking taylor expansion of 3 in x.im 0.671 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.671 * [taylor]: Taking taylor expansion of x.im in x.im 0.671 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.671 * [taylor]: Taking taylor expansion of x.re in x.im 0.671 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.671 * [taylor]: Taking taylor expansion of 3 in x.im 0.671 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.671 * [taylor]: Taking taylor expansion of x.im in x.im 0.671 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.671 * [taylor]: Taking taylor expansion of x.re in x.im 0.672 * [taylor]: Taking taylor expansion of 0 in x.re 0.672 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.672 * [taylor]: Taking taylor expansion of 3 in x.re 0.672 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.672 * [taylor]: Taking taylor expansion of x.re in x.re 0.674 * [taylor]: Taking taylor expansion of 0 in x.re 0.677 * [taylor]: Taking taylor expansion of 0 in x.re 0.677 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.677 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.677 * [taylor]: Taking taylor expansion of 3 in x.re 0.677 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.677 * [taylor]: Taking taylor expansion of x.im in x.re 0.677 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.677 * [taylor]: Taking taylor expansion of x.re in x.re 0.677 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.677 * [taylor]: Taking taylor expansion of 3 in x.im 0.677 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.677 * [taylor]: Taking taylor expansion of x.im in x.im 0.677 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.677 * [taylor]: Taking taylor expansion of x.re in x.im 0.678 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.678 * [taylor]: Taking taylor expansion of 3 in x.im 0.678 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.678 * [taylor]: Taking taylor expansion of x.im in x.im 0.678 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.678 * [taylor]: Taking taylor expansion of x.re in x.im 0.678 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.678 * [taylor]: Taking taylor expansion of 3 in x.re 0.678 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.679 * [taylor]: Taking taylor expansion of x.re in x.re 0.680 * [taylor]: Taking taylor expansion of 0 in x.re 0.682 * [taylor]: Taking taylor expansion of 0 in x.re 0.685 * [taylor]: Taking taylor expansion of 0 in x.re 0.688 * [taylor]: Taking taylor expansion of 0 in x.re 0.688 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.688 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.689 * [taylor]: Taking taylor expansion of -3 in x.re 0.689 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.689 * [taylor]: Taking taylor expansion of x.im in x.re 0.689 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.689 * [taylor]: Taking taylor expansion of x.re in x.re 0.689 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.689 * [taylor]: Taking taylor expansion of -3 in x.im 0.689 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.689 * [taylor]: Taking taylor expansion of x.im in x.im 0.689 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.689 * [taylor]: Taking taylor expansion of x.re in x.im 0.689 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.689 * [taylor]: Taking taylor expansion of -3 in x.im 0.689 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.689 * [taylor]: Taking taylor expansion of x.im in x.im 0.690 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.690 * [taylor]: Taking taylor expansion of x.re in x.im 0.690 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.690 * [taylor]: Taking taylor expansion of -3 in x.re 0.690 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.690 * [taylor]: Taking taylor expansion of x.re in x.re 0.692 * [taylor]: Taking taylor expansion of 0 in x.re 0.694 * [taylor]: Taking taylor expansion of 0 in x.re 0.697 * [taylor]: Taking taylor expansion of 0 in x.re 0.700 * [taylor]: Taking taylor expansion of 0 in x.re 0.700 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.700 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.700 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.700 * [taylor]: Taking taylor expansion of x.im in x.re 0.700 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.700 * [taylor]: Taking taylor expansion of x.re in x.re 0.701 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.701 * [taylor]: Taking taylor expansion of x.im in x.im 0.701 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.701 * [taylor]: Taking taylor expansion of x.re in x.im 0.701 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.701 * [taylor]: Taking taylor expansion of x.im in x.im 0.701 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.701 * [taylor]: Taking taylor expansion of x.re in x.im 0.701 * [taylor]: Taking taylor expansion of 0 in x.re 0.701 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.701 * [taylor]: Taking taylor expansion of x.re in x.re 0.702 * [taylor]: Taking taylor expansion of 0 in x.re 0.704 * [taylor]: Taking taylor expansion of 0 in x.re 0.704 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.704 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.704 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.704 * [taylor]: Taking taylor expansion of x.im in x.re 0.704 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.704 * [taylor]: Taking taylor expansion of x.re in x.re 0.704 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.704 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.704 * [taylor]: Taking taylor expansion of x.im in x.im 0.704 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.704 * [taylor]: Taking taylor expansion of x.re in x.im 0.705 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.705 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.705 * [taylor]: Taking taylor expansion of x.im in x.im 0.705 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.705 * [taylor]: Taking taylor expansion of x.re in x.im 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.705 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.705 * [taylor]: Taking taylor expansion of x.re in x.re 0.707 * [taylor]: Taking taylor expansion of 0 in x.re 0.709 * [taylor]: Taking taylor expansion of 0 in x.re 0.712 * [taylor]: Taking taylor expansion of 0 in x.re 0.715 * [taylor]: Taking taylor expansion of 0 in x.re 0.715 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.715 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.715 * [taylor]: Taking taylor expansion of -1 in x.re 0.715 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.715 * [taylor]: Taking taylor expansion of x.im in x.re 0.715 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.715 * [taylor]: Taking taylor expansion of x.re in x.re 0.715 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.715 * [taylor]: Taking taylor expansion of -1 in x.im 0.715 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.715 * [taylor]: Taking taylor expansion of x.im in x.im 0.715 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.715 * [taylor]: Taking taylor expansion of x.re in x.im 0.716 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.716 * [taylor]: Taking taylor expansion of -1 in x.im 0.716 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.716 * [taylor]: Taking taylor expansion of x.im in x.im 0.716 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.716 * [taylor]: Taking taylor expansion of x.re in x.im 0.717 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.717 * [taylor]: Taking taylor expansion of -1 in x.re 0.717 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.717 * [taylor]: Taking taylor expansion of x.re in x.re 0.720 * [taylor]: Taking taylor expansion of 0 in x.re 0.722 * [taylor]: Taking taylor expansion of 0 in x.re 0.725 * [taylor]: Taking taylor expansion of 0 in x.re 0.728 * [taylor]: Taking taylor expansion of 0 in x.re 0.729 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.729 * [approximate]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in (x.im x.re) around 0 0.729 * [taylor]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in x.re 0.729 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.729 * [taylor]: Taking taylor expansion of 3 in x.re 0.729 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.729 * [taylor]: Taking taylor expansion of x.im in x.re 0.729 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.729 * [taylor]: Taking taylor expansion of x.re in x.re 0.729 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.re 0.729 * [taylor]: Taking taylor expansion of x.im in x.re 0.729 * [taylor]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in x.im 0.729 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.729 * [taylor]: Taking taylor expansion of 3 in x.im 0.729 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.729 * [taylor]: Taking taylor expansion of x.im in x.im 0.729 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.729 * [taylor]: Taking taylor expansion of x.re in x.im 0.729 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 0.729 * [taylor]: Taking taylor expansion of x.im in x.im 0.729 * [taylor]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in x.im 0.729 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.729 * [taylor]: Taking taylor expansion of 3 in x.im 0.729 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.729 * [taylor]: Taking taylor expansion of x.im in x.im 0.729 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.729 * [taylor]: Taking taylor expansion of x.re in x.im 0.729 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 0.729 * [taylor]: Taking taylor expansion of x.im in x.im 0.730 * [taylor]: Taking taylor expansion of 0 in x.re 0.731 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.731 * [taylor]: Taking taylor expansion of 3 in x.re 0.731 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.731 * [taylor]: Taking taylor expansion of x.re in x.re 0.732 * [taylor]: Taking taylor expansion of 0 in x.re 0.735 * [taylor]: Taking taylor expansion of -1 in x.re 0.739 * [taylor]: Taking taylor expansion of 0 in x.re 0.740 * [approximate]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in (x.im x.re) around 0 0.740 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in x.re 0.740 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.re 0.740 * [taylor]: Taking taylor expansion of 3 in x.re 0.740 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.740 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.740 * [taylor]: Taking taylor expansion of x.im in x.re 0.740 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.740 * [taylor]: Taking taylor expansion of x.re in x.re 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.re 0.740 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.re 0.740 * [taylor]: Taking taylor expansion of x.im in x.re 0.740 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in x.im 0.740 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 0.740 * [taylor]: Taking taylor expansion of 3 in x.im 0.740 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.741 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.741 * [taylor]: Taking taylor expansion of x.im in x.im 0.741 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.741 * [taylor]: Taking taylor expansion of x.re in x.im 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 0.741 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 0.741 * [taylor]: Taking taylor expansion of x.im in x.im 0.742 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in x.im 0.742 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 0.742 * [taylor]: Taking taylor expansion of 3 in x.im 0.742 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.742 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.742 * [taylor]: Taking taylor expansion of x.im in x.im 0.742 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.742 * [taylor]: Taking taylor expansion of x.re in x.im 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 0.742 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 0.742 * [taylor]: Taking taylor expansion of x.im in x.im 0.743 * [taylor]: Taking taylor expansion of -1 in x.re 0.745 * [taylor]: Taking taylor expansion of 0 in x.re 0.747 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.re 2))) in x.re 0.747 * [taylor]: Taking taylor expansion of 3 in x.re 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.747 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.747 * [taylor]: Taking taylor expansion of x.re in x.re 0.750 * [taylor]: Taking taylor expansion of 0 in x.re 0.755 * [taylor]: Taking taylor expansion of 0 in x.re 0.757 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in (x.im x.re) around 0 0.757 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in x.re 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.re 0.758 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.re 0.758 * [taylor]: Taking taylor expansion of x.im in x.re 0.758 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.re 0.758 * [taylor]: Taking taylor expansion of 3 in x.re 0.758 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.758 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.758 * [taylor]: Taking taylor expansion of x.im in x.re 0.758 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.758 * [taylor]: Taking taylor expansion of x.re in x.re 0.758 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in x.im 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 0.758 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 0.758 * [taylor]: Taking taylor expansion of x.im in x.im 0.759 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 0.759 * [taylor]: Taking taylor expansion of 3 in x.im 0.759 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.759 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.759 * [taylor]: Taking taylor expansion of x.im in x.im 0.759 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.759 * [taylor]: Taking taylor expansion of x.re in x.im 0.759 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in x.im 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 0.759 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 0.759 * [taylor]: Taking taylor expansion of x.im in x.im 0.760 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 0.760 * [taylor]: Taking taylor expansion of 3 in x.im 0.760 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.760 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.760 * [taylor]: Taking taylor expansion of x.im in x.im 0.760 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.760 * [taylor]: Taking taylor expansion of x.re in x.im 0.761 * [taylor]: Taking taylor expansion of 1 in x.re 0.762 * [taylor]: Taking taylor expansion of 0 in x.re 0.764 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.re 2)))) in x.re 0.764 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.re 2))) in x.re 0.764 * [taylor]: Taking taylor expansion of 3 in x.re 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.764 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.764 * [taylor]: Taking taylor expansion of x.re in x.re 0.768 * [taylor]: Taking taylor expansion of 0 in x.re 0.773 * [taylor]: Taking taylor expansion of 0 in x.re 0.775 * * * [progress]: simplifying candidates 0.776 * [simplify]: Simplifying using # : (expm1 (* 3 (* (* x.im x.re) x.re))) (log1p (* 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)) (+ (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)) (expm1 (* (* x.im x.re) x.re)) (log1p (* (* 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) (fma 3 (* (* x.im x.re) x.re) (- (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3)))) (fma (- (pow (cbrt x.im) 3)) (pow (* (cbrt x.im) (cbrt x.im)) 3) (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3))) (fma 3 (* (* x.im x.re) x.re) (- (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3)))) (fma (- (pow (sqrt x.im) 3)) (pow (sqrt x.im) 3) (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3))) (fma 3 (* (* x.im x.re) x.re) (- (* (pow x.im 3) (pow 1 3)))) (fma (- (pow x.im 3)) (pow 1 3) (* (pow x.im 3) (pow 1 3))) (fma 3 (* (* x.im x.re) x.re) (- (* x.im (* x.im x.im)))) (fma (- x.im) (* x.im x.im) (* x.im (* x.im x.im))) (fma 3 (* (* x.im x.re) x.re) (- (* (cbrt (pow x.im 3)) (* (cbrt (pow x.im 3)) (cbrt (pow x.im 3)))))) (fma (- (cbrt (pow x.im 3))) (* (cbrt (pow x.im 3)) (cbrt (pow x.im 3))) (* (cbrt (pow x.im 3)) (* (cbrt (pow x.im 3)) (cbrt (pow x.im 3))))) (fma 3 (* (* x.im x.re) x.re) (- (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3)))) (fma (- (pow (cbrt x.im) 3)) (pow (* (cbrt x.im) (cbrt x.im)) 3) (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3))) (fma 3 (* (* x.im x.re) x.re) (- (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3)))) (fma (- (pow (sqrt x.im) 3)) (pow (sqrt x.im) 3) (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3))) (fma 3 (* (* x.im x.re) x.re) (- (* (pow x.im 3) (pow 1 3)))) (fma (- (pow x.im 3)) (pow 1 3) (* (pow x.im 3) (pow 1 3))) (fma 3 (* (* x.im x.re) x.re) (- (* (* x.im x.im) x.im))) (fma (- (* x.im x.im)) x.im (* (* x.im x.im) x.im)) (fma 3 (* (* x.im x.re) x.re) (- (* (sqrt (pow x.im 3)) (sqrt (pow x.im 3))))) (fma (- (sqrt (pow x.im 3))) (sqrt (pow x.im 3)) (* (sqrt (pow x.im 3)) (sqrt (pow x.im 3)))) (fma 3 (* (* x.im x.re) x.re) (- (* (pow x.im 3) 1))) (fma (- (pow x.im 3)) 1 (* (pow x.im 3) 1)) (fma 3 (* (* x.im x.re) x.re) (- (* (pow x.im (/ 3 2)) (pow x.im (/ 3 2))))) (fma (- (pow x.im (/ 3 2))) (pow x.im (/ 3 2)) (* (pow x.im (/ 3 2)) (pow x.im (/ 3 2)))) (expm1 (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (log1p (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (- (pow x.im 3)) (/ (exp (* 3 (* (* x.im x.re) x.re))) (exp (pow x.im 3))) (log (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (exp (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (* (cbrt (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (cbrt (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3)))) (cbrt (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (* (* (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3)) (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (sqrt (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (sqrt (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (- (pow (* 3 (* (* x.im x.re) x.re)) 3) (pow (pow x.im 3) 3)) (+ (* (* 3 (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re))) (+ (* (pow x.im 3) (pow x.im 3)) (* (* 3 (* (* x.im x.re) x.re)) (pow x.im 3)))) (- (pow x.im 3)) (- (* (* 3 (* (* x.im x.re) x.re)) (* 3 (* (* x.im x.re) x.re))) (* (pow x.im 3) (pow x.im 3))) (+ (* 3 (* (* x.im x.re) x.re)) (pow x.im 3)) (- (pow x.im 3)) (* 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)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) 0.776 * [simplify]: Sending expressions to egg_math: (expm1 (* 3 (* (* h0 h1) h1))) (log1p (* 3 (* (* 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 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)) (expm1 (* (* h0 h1) h1)) (log1p (* (* 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) (fma 3 (* (* h0 h1) h1) (- (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3)))) (fma (- (pow (cbrt h0) 3)) (pow (* (cbrt h0) (cbrt h0)) 3) (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3))) (fma 3 (* (* h0 h1) h1) (- (* (pow (sqrt h0) 3) (pow (sqrt h0) 3)))) (fma (- (pow (sqrt h0) 3)) (pow (sqrt h0) 3) (* (pow (sqrt h0) 3) (pow (sqrt h0) 3))) (fma 3 (* (* h0 h1) h1) (- (* (pow h0 3) (pow 1 3)))) (fma (- (pow h0 3)) (pow 1 3) (* (pow h0 3) (pow 1 3))) (fma 3 (* (* h0 h1) h1) (- (* h0 (* h0 h0)))) (fma (- h0) (* h0 h0) (* h0 (* h0 h0))) (fma 3 (* (* h0 h1) h1) (- (* (cbrt (pow h0 3)) (* (cbrt (pow h0 3)) (cbrt (pow h0 3)))))) (fma (- (cbrt (pow h0 3))) (* (cbrt (pow h0 3)) (cbrt (pow h0 3))) (* (cbrt (pow h0 3)) (* (cbrt (pow h0 3)) (cbrt (pow h0 3))))) (fma 3 (* (* h0 h1) h1) (- (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3)))) (fma (- (pow (cbrt h0) 3)) (pow (* (cbrt h0) (cbrt h0)) 3) (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3))) (fma 3 (* (* h0 h1) h1) (- (* (pow (sqrt h0) 3) (pow (sqrt h0) 3)))) (fma (- (pow (sqrt h0) 3)) (pow (sqrt h0) 3) (* (pow (sqrt h0) 3) (pow (sqrt h0) 3))) (fma 3 (* (* h0 h1) h1) (- (* (pow h0 3) (pow 1 3)))) (fma (- (pow h0 3)) (pow 1 3) (* (pow h0 3) (pow 1 3))) (fma 3 (* (* h0 h1) h1) (- (* (* h0 h0) h0))) (fma (- (* h0 h0)) h0 (* (* h0 h0) h0)) (fma 3 (* (* h0 h1) h1) (- (* (sqrt (pow h0 3)) (sqrt (pow h0 3))))) (fma (- (sqrt (pow h0 3))) (sqrt (pow h0 3)) (* (sqrt (pow h0 3)) (sqrt (pow h0 3)))) (fma 3 (* (* h0 h1) h1) (- (* (pow h0 3) 1))) (fma (- (pow h0 3)) 1 (* (pow h0 3) 1)) (fma 3 (* (* h0 h1) h1) (- (* (pow h0 (/ 3 2)) (pow h0 (/ 3 2))))) (fma (- (pow h0 (/ 3 2))) (pow h0 (/ 3 2)) (* (pow h0 (/ 3 2)) (pow h0 (/ 3 2)))) (expm1 (- (* 3 (* (* h0 h1) h1)) (pow h0 3))) (log1p (- (* 3 (* (* h0 h1) h1)) (pow h0 3))) (- (pow h0 3)) (/ (exp (* 3 (* (* h0 h1) h1))) (exp (pow h0 3))) (log (- (* 3 (* (* h0 h1) h1)) (pow h0 3))) (exp (- (* 3 (* (* h0 h1) h1)) (pow h0 3))) (* (cbrt (- (* 3 (* (* h0 h1) h1)) (pow h0 3))) (cbrt (- (* 3 (* (* h0 h1) h1)) (pow h0 3)))) (cbrt (- (* 3 (* (* h0 h1) h1)) (pow h0 3))) (* (* (- (* 3 (* (* h0 h1) h1)) (pow h0 3)) (- (* 3 (* (* h0 h1) h1)) (pow h0 3))) (- (* 3 (* (* h0 h1) h1)) (pow h0 3))) (sqrt (- (* 3 (* (* h0 h1) h1)) (pow h0 3))) (sqrt (- (* 3 (* (* h0 h1) h1)) (pow h0 3))) (- (pow (* 3 (* (* h0 h1) h1)) 3) (pow (pow h0 3) 3)) (+ (* (* 3 (* (* h0 h1) h1)) (* 3 (* (* h0 h1) h1))) (+ (* (pow h0 3) (pow h0 3)) (* (* 3 (* (* h0 h1) h1)) (pow h0 3)))) (- (pow h0 3)) (- (* (* 3 (* (* h0 h1) h1)) (* 3 (* (* h0 h1) h1))) (* (pow h0 3) (pow h0 3))) (+ (* 3 (* (* h0 h1) h1)) (pow h0 3)) (- (pow h0 3)) (* 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)) (- (* 3 (* h0 (pow h1 2))) (pow h0 3)) (- (* 3 (* h0 (pow h1 2))) (pow h0 3)) (- (* 3 (* h0 (pow h1 2))) (pow h0 3)) 0.781 * * [simplify]: iteration 0 : 353 enodes (cost 461 ) 0.790 * * [simplify]: iteration 1 : 1898 enodes (cost 388 ) 0.849 * * [simplify]: iteration 2 : 5002 enodes (cost 386 ) 0.851 * [simplify]: Simplified to: (expm1 (* 3 (* (* x.im x.re) x.re))) (log1p (* 3 (* (* 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 x.re) x.re)) 3) (pow (* 3 (* (* x.im x.re) x.re)) 3) (pow (* 3 (* (* x.im x.re) x.re)) 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 x.re) x.re)) 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))) (expm1 (* (* x.im x.re) x.re)) (log1p (* (* x.im x.re) x.re)) (* (* 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))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (expm1 (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (log1p (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (- (pow x.im 3)) (exp (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (log (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (exp (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (* (cbrt (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (cbrt (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3)))) (cbrt (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (pow (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) 3) (sqrt (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (sqrt (- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))) (- (pow (* 3 (* (* x.im x.re) x.re)) 3) (pow (pow x.im 3) 3)) (fma (* (* (* x.im x.re) x.im) (pow x.re 3)) 9 (fma 3 (* (* (* x.im x.re) x.re) (pow x.im 3)) (pow x.im 6))) (- (pow x.im 3)) (fma (* (* (* x.im x.re) x.im) (pow x.re 3)) 9 (- (* (pow x.im 3) (pow x.im 3)))) (fma 3 (* (* x.im x.re) x.re) (pow x.im 3)) (- (pow x.im 3)) (* 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) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) 0.852 * * * [progress]: adding candidates to table 0.973 * * [progress]: iteration 3 / 4 0.973 * * * [progress]: picking best candidate 0.985 * * * * [pick]: Picked # 0.985 * * * [progress]: localizing error 0.993 * * * [progress]: generating rewritten candidates 0.993 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.010 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.060 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.119 * * * [progress]: generating series expansions 1.119 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.119 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 1.119 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 1.119 * [taylor]: Taking taylor expansion of 3 in x.re 1.119 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.119 * [taylor]: Taking taylor expansion of x.im in x.re 1.119 * [taylor]: Taking taylor expansion of x.re in x.re 1.119 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 1.119 * [taylor]: Taking taylor expansion of 3 in x.im 1.119 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.119 * [taylor]: Taking taylor expansion of x.im in x.im 1.119 * [taylor]: Taking taylor expansion of x.re in x.im 1.120 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 1.120 * [taylor]: Taking taylor expansion of 3 in x.im 1.120 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.120 * [taylor]: Taking taylor expansion of x.im in x.im 1.120 * [taylor]: Taking taylor expansion of x.re in x.im 1.120 * [taylor]: Taking taylor expansion of 0 in x.re 1.121 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 1.121 * [taylor]: Taking taylor expansion of 3 in x.re 1.121 * [taylor]: Taking taylor expansion of x.re in x.re 1.122 * [taylor]: Taking taylor expansion of 0 in x.re 1.123 * [taylor]: Taking taylor expansion of 0 in x.re 1.126 * [taylor]: Taking taylor expansion of 0 in x.re 1.126 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 1.126 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 1.126 * [taylor]: Taking taylor expansion of 3 in x.re 1.126 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.126 * [taylor]: Taking taylor expansion of x.im in x.re 1.126 * [taylor]: Taking taylor expansion of x.re in x.re 1.126 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.126 * [taylor]: Taking taylor expansion of 3 in x.im 1.126 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.126 * [taylor]: Taking taylor expansion of x.im in x.im 1.126 * [taylor]: Taking taylor expansion of x.re in x.im 1.126 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.126 * [taylor]: Taking taylor expansion of 3 in x.im 1.127 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.127 * [taylor]: Taking taylor expansion of x.im in x.im 1.127 * [taylor]: Taking taylor expansion of x.re in x.im 1.127 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 1.127 * [taylor]: Taking taylor expansion of 3 in x.re 1.127 * [taylor]: Taking taylor expansion of x.re in x.re 1.128 * [taylor]: Taking taylor expansion of 0 in x.re 1.129 * [taylor]: Taking taylor expansion of 0 in x.re 1.130 * [taylor]: Taking taylor expansion of 0 in x.re 1.131 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 1.131 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 1.131 * [taylor]: Taking taylor expansion of 3 in x.re 1.131 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.131 * [taylor]: Taking taylor expansion of x.im in x.re 1.131 * [taylor]: Taking taylor expansion of x.re in x.re 1.131 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.131 * [taylor]: Taking taylor expansion of 3 in x.im 1.131 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.132 * [taylor]: Taking taylor expansion of x.im in x.im 1.132 * [taylor]: Taking taylor expansion of x.re in x.im 1.132 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.132 * [taylor]: Taking taylor expansion of 3 in x.im 1.132 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.132 * [taylor]: Taking taylor expansion of x.im in x.im 1.132 * [taylor]: Taking taylor expansion of x.re in x.im 1.132 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 1.132 * [taylor]: Taking taylor expansion of 3 in x.re 1.132 * [taylor]: Taking taylor expansion of x.re in x.re 1.133 * [taylor]: Taking taylor expansion of 0 in x.re 1.134 * [taylor]: Taking taylor expansion of 0 in x.re 1.136 * [taylor]: Taking taylor expansion of 0 in x.re 1.136 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.136 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.136 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 1.136 * [taylor]: Taking taylor expansion of 3 in x.re 1.136 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.136 * [taylor]: Taking taylor expansion of x.im in x.re 1.136 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.137 * [taylor]: Taking taylor expansion of x.re in x.re 1.137 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 1.137 * [taylor]: Taking taylor expansion of 3 in x.im 1.137 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.137 * [taylor]: Taking taylor expansion of x.im in x.im 1.137 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.137 * [taylor]: Taking taylor expansion of x.re in x.im 1.137 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 1.137 * [taylor]: Taking taylor expansion of 3 in x.im 1.137 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.137 * [taylor]: Taking taylor expansion of x.im in x.im 1.137 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.137 * [taylor]: Taking taylor expansion of x.re in x.im 1.137 * [taylor]: Taking taylor expansion of 0 in x.re 1.138 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 1.138 * [taylor]: Taking taylor expansion of 3 in x.re 1.138 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.138 * [taylor]: Taking taylor expansion of x.re in x.re 1.139 * [taylor]: Taking taylor expansion of 0 in x.re 1.142 * [taylor]: Taking taylor expansion of 0 in x.re 1.142 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.142 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 1.142 * [taylor]: Taking taylor expansion of 3 in x.re 1.142 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.142 * [taylor]: Taking taylor expansion of x.im in x.re 1.142 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.142 * [taylor]: Taking taylor expansion of x.re in x.re 1.143 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 1.143 * [taylor]: Taking taylor expansion of 3 in x.im 1.143 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.143 * [taylor]: Taking taylor expansion of x.im in x.im 1.143 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.143 * [taylor]: Taking taylor expansion of x.re in x.im 1.143 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 1.143 * [taylor]: Taking taylor expansion of 3 in x.im 1.143 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.143 * [taylor]: Taking taylor expansion of x.im in x.im 1.143 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.143 * [taylor]: Taking taylor expansion of x.re in x.im 1.144 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 1.144 * [taylor]: Taking taylor expansion of 3 in x.re 1.144 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.144 * [taylor]: Taking taylor expansion of x.re in x.re 1.145 * [taylor]: Taking taylor expansion of 0 in x.re 1.147 * [taylor]: Taking taylor expansion of 0 in x.re 1.150 * [taylor]: Taking taylor expansion of 0 in x.re 1.154 * [taylor]: Taking taylor expansion of 0 in x.re 1.154 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.154 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 1.154 * [taylor]: Taking taylor expansion of -3 in x.re 1.154 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.154 * [taylor]: Taking taylor expansion of x.im in x.re 1.154 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.154 * [taylor]: Taking taylor expansion of x.re in x.re 1.154 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 1.154 * [taylor]: Taking taylor expansion of -3 in x.im 1.154 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.154 * [taylor]: Taking taylor expansion of x.im in x.im 1.154 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.154 * [taylor]: Taking taylor expansion of x.re in x.im 1.155 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 1.155 * [taylor]: Taking taylor expansion of -3 in x.im 1.155 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.155 * [taylor]: Taking taylor expansion of x.im in x.im 1.155 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.155 * [taylor]: Taking taylor expansion of x.re in x.im 1.155 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 1.155 * [taylor]: Taking taylor expansion of -3 in x.re 1.155 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.155 * [taylor]: Taking taylor expansion of x.re in x.re 1.157 * [taylor]: Taking taylor expansion of 0 in x.re 1.159 * [taylor]: Taking taylor expansion of 0 in x.re 1.162 * [taylor]: Taking taylor expansion of 0 in x.re 1.165 * [taylor]: Taking taylor expansion of 0 in x.re 1.165 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.165 * [approximate]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in (x.im x.re) around 0 1.165 * [taylor]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in x.re 1.165 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 1.166 * [taylor]: Taking taylor expansion of 3 in x.re 1.166 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.166 * [taylor]: Taking taylor expansion of x.im in x.re 1.166 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.166 * [taylor]: Taking taylor expansion of x.re in x.re 1.166 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.re 1.166 * [taylor]: Taking taylor expansion of x.im in x.re 1.166 * [taylor]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in x.im 1.166 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 1.166 * [taylor]: Taking taylor expansion of 3 in x.im 1.166 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.166 * [taylor]: Taking taylor expansion of x.im in x.im 1.166 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.166 * [taylor]: Taking taylor expansion of x.re in x.im 1.166 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 1.166 * [taylor]: Taking taylor expansion of x.im in x.im 1.166 * [taylor]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in x.im 1.166 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 1.166 * [taylor]: Taking taylor expansion of 3 in x.im 1.166 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.166 * [taylor]: Taking taylor expansion of x.im in x.im 1.166 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.166 * [taylor]: Taking taylor expansion of x.re in x.im 1.166 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 1.166 * [taylor]: Taking taylor expansion of x.im in x.im 1.167 * [taylor]: Taking taylor expansion of 0 in x.re 1.167 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 1.167 * [taylor]: Taking taylor expansion of 3 in x.re 1.167 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.167 * [taylor]: Taking taylor expansion of x.re in x.re 1.169 * [taylor]: Taking taylor expansion of 0 in x.re 1.171 * [taylor]: Taking taylor expansion of -1 in x.re 1.175 * [taylor]: Taking taylor expansion of 0 in x.re 1.179 * [approximate]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in (x.im x.re) around 0 1.179 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in x.re 1.179 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.re 1.179 * [taylor]: Taking taylor expansion of 3 in x.re 1.179 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 1.179 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.179 * [taylor]: Taking taylor expansion of x.im in x.re 1.179 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.179 * [taylor]: Taking taylor expansion of x.re in x.re 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.re 1.179 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.re 1.179 * [taylor]: Taking taylor expansion of x.im in x.re 1.179 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in x.im 1.179 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 1.179 * [taylor]: Taking taylor expansion of 3 in x.im 1.179 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 1.180 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.180 * [taylor]: Taking taylor expansion of x.im in x.im 1.180 * [taylor]: Taking taylor expansion of (pow x.re 2) 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.im 3)) in x.im 1.180 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 1.180 * [taylor]: Taking taylor expansion of x.im in x.im 1.181 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in x.im 1.181 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 1.181 * [taylor]: Taking taylor expansion of 3 in x.im 1.181 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 1.181 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.181 * [taylor]: Taking taylor expansion of x.im in x.im 1.181 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.181 * [taylor]: Taking taylor expansion of x.re in x.im 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 1.181 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 1.181 * [taylor]: Taking taylor expansion of x.im in x.im 1.182 * [taylor]: Taking taylor expansion of -1 in x.re 1.184 * [taylor]: Taking taylor expansion of 0 in x.re 1.185 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.re 2))) in x.re 1.185 * [taylor]: Taking taylor expansion of 3 in x.re 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 1.186 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.186 * [taylor]: Taking taylor expansion of x.re in x.re 1.189 * [taylor]: Taking taylor expansion of 0 in x.re 1.194 * [taylor]: Taking taylor expansion of 0 in x.re 1.196 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in (x.im x.re) around 0 1.196 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in x.re 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.re 1.196 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.re 1.196 * [taylor]: Taking taylor expansion of x.im in x.re 1.196 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.re 1.196 * [taylor]: Taking taylor expansion of 3 in x.re 1.196 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 1.196 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.196 * [taylor]: Taking taylor expansion of x.im in x.re 1.196 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.196 * [taylor]: Taking taylor expansion of x.re in x.re 1.197 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in x.im 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 1.197 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 1.197 * [taylor]: Taking taylor expansion of x.im in x.im 1.197 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 1.197 * [taylor]: Taking taylor expansion of 3 in x.im 1.197 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 1.197 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.197 * [taylor]: Taking taylor expansion of x.im in x.im 1.197 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.197 * [taylor]: Taking taylor expansion of x.re in x.im 1.198 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in x.im 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 1.198 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 1.198 * [taylor]: Taking taylor expansion of x.im in x.im 1.199 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 1.199 * [taylor]: Taking taylor expansion of 3 in x.im 1.199 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 1.199 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.199 * [taylor]: Taking taylor expansion of x.im in x.im 1.199 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.199 * [taylor]: Taking taylor expansion of x.re in x.im 1.199 * [taylor]: Taking taylor expansion of 1 in x.re 1.201 * [taylor]: Taking taylor expansion of 0 in x.re 1.203 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.re 2)))) in x.re 1.203 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.re 2))) in x.re 1.203 * [taylor]: Taking taylor expansion of 3 in x.re 1.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 1.203 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.203 * [taylor]: Taking taylor expansion of x.re in x.re 1.207 * [taylor]: Taking taylor expansion of 0 in x.re 1.212 * [taylor]: Taking taylor expansion of 0 in x.re 1.214 * * * [progress]: simplifying candidates 1.215 * [simplify]: Simplifying using # : (expm1 (* 3 (* x.im x.re))) (log1p (* 3 (* x.im x.re))) (* 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)) (expm1 (* (* 3 (* x.im x.re)) x.re)) (log1p (* (* 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) (+ (+ (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) (fma (* 3 (* x.im x.re)) x.re (- (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3)))) (fma (- (pow (cbrt x.im) 3)) (pow (* (cbrt x.im) (cbrt x.im)) 3) (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3))) (fma (* 3 (* x.im x.re)) x.re (- (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3)))) (fma (- (pow (sqrt x.im) 3)) (pow (sqrt x.im) 3) (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3))) (fma (* 3 (* x.im x.re)) x.re (- (* (pow x.im 3) (pow 1 3)))) (fma (- (pow x.im 3)) (pow 1 3) (* (pow x.im 3) (pow 1 3))) (fma (* 3 (* x.im x.re)) x.re (- (* x.im (* x.im x.im)))) (fma (- x.im) (* x.im x.im) (* x.im (* x.im x.im))) (fma (* 3 (* x.im x.re)) x.re (- (* (cbrt (pow x.im 3)) (* (cbrt (pow x.im 3)) (cbrt (pow x.im 3)))))) (fma (- (cbrt (pow x.im 3))) (* (cbrt (pow x.im 3)) (cbrt (pow x.im 3))) (* (cbrt (pow x.im 3)) (* (cbrt (pow x.im 3)) (cbrt (pow x.im 3))))) (fma (* 3 (* x.im x.re)) x.re (- (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3)))) (fma (- (pow (cbrt x.im) 3)) (pow (* (cbrt x.im) (cbrt x.im)) 3) (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3))) (fma (* 3 (* x.im x.re)) x.re (- (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3)))) (fma (- (pow (sqrt x.im) 3)) (pow (sqrt x.im) 3) (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3))) (fma (* 3 (* x.im x.re)) x.re (- (* (pow x.im 3) (pow 1 3)))) (fma (- (pow x.im 3)) (pow 1 3) (* (pow x.im 3) (pow 1 3))) (fma (* 3 (* x.im x.re)) x.re (- (* (* x.im x.im) x.im))) (fma (- (* x.im x.im)) x.im (* (* x.im x.im) x.im)) (fma (* 3 (* x.im x.re)) x.re (- (* (sqrt (pow x.im 3)) (sqrt (pow x.im 3))))) (fma (- (sqrt (pow x.im 3))) (sqrt (pow x.im 3)) (* (sqrt (pow x.im 3)) (sqrt (pow x.im 3)))) (fma (* 3 (* x.im x.re)) x.re (- (* (pow x.im 3) 1))) (fma (- (pow x.im 3)) 1 (* (pow x.im 3) 1)) (fma (* 3 (* x.im x.re)) x.re (- (* (pow x.im (/ 3 2)) (pow x.im (/ 3 2))))) (fma (- (pow x.im (/ 3 2))) (pow x.im (/ 3 2)) (* (pow x.im (/ 3 2)) (pow x.im (/ 3 2)))) (expm1 (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (log1p (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (- (pow x.im 3)) (/ (exp (* (* 3 (* x.im x.re)) x.re)) (exp (pow x.im 3))) (log (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (exp (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (* (cbrt (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (cbrt (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)))) (cbrt (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (* (* (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (sqrt (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (sqrt (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (- (pow (* (* 3 (* x.im x.re)) x.re) 3) (pow (pow x.im 3) 3)) (+ (* (* (* 3 (* x.im x.re)) x.re) (* (* 3 (* x.im x.re)) x.re)) (+ (* (pow x.im 3) (pow x.im 3)) (* (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)))) (- (pow x.im 3)) (- (* (* (* 3 (* x.im x.re)) x.re) (* (* 3 (* x.im x.re)) x.re)) (* (pow x.im 3) (pow x.im 3))) (+ (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (- (pow x.im 3)) (* 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))) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) 1.215 * [simplify]: Sending expressions to egg_math: (expm1 (* 3 (* h0 h1))) (log1p (* 3 (* h0 h1))) (* 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)) (expm1 (* (* 3 (* h0 h1)) h1)) (log1p (* (* 3 (* 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 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) (fma (* 3 (* h0 h1)) h1 (- (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3)))) (fma (- (pow (cbrt h0) 3)) (pow (* (cbrt h0) (cbrt h0)) 3) (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3))) (fma (* 3 (* h0 h1)) h1 (- (* (pow (sqrt h0) 3) (pow (sqrt h0) 3)))) (fma (- (pow (sqrt h0) 3)) (pow (sqrt h0) 3) (* (pow (sqrt h0) 3) (pow (sqrt h0) 3))) (fma (* 3 (* h0 h1)) h1 (- (* (pow h0 3) (pow 1 3)))) (fma (- (pow h0 3)) (pow 1 3) (* (pow h0 3) (pow 1 3))) (fma (* 3 (* h0 h1)) h1 (- (* h0 (* h0 h0)))) (fma (- h0) (* h0 h0) (* h0 (* h0 h0))) (fma (* 3 (* h0 h1)) h1 (- (* (cbrt (pow h0 3)) (* (cbrt (pow h0 3)) (cbrt (pow h0 3)))))) (fma (- (cbrt (pow h0 3))) (* (cbrt (pow h0 3)) (cbrt (pow h0 3))) (* (cbrt (pow h0 3)) (* (cbrt (pow h0 3)) (cbrt (pow h0 3))))) (fma (* 3 (* h0 h1)) h1 (- (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3)))) (fma (- (pow (cbrt h0) 3)) (pow (* (cbrt h0) (cbrt h0)) 3) (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3))) (fma (* 3 (* h0 h1)) h1 (- (* (pow (sqrt h0) 3) (pow (sqrt h0) 3)))) (fma (- (pow (sqrt h0) 3)) (pow (sqrt h0) 3) (* (pow (sqrt h0) 3) (pow (sqrt h0) 3))) (fma (* 3 (* h0 h1)) h1 (- (* (pow h0 3) (pow 1 3)))) (fma (- (pow h0 3)) (pow 1 3) (* (pow h0 3) (pow 1 3))) (fma (* 3 (* h0 h1)) h1 (- (* (* h0 h0) h0))) (fma (- (* h0 h0)) h0 (* (* h0 h0) h0)) (fma (* 3 (* h0 h1)) h1 (- (* (sqrt (pow h0 3)) (sqrt (pow h0 3))))) (fma (- (sqrt (pow h0 3))) (sqrt (pow h0 3)) (* (sqrt (pow h0 3)) (sqrt (pow h0 3)))) (fma (* 3 (* h0 h1)) h1 (- (* (pow h0 3) 1))) (fma (- (pow h0 3)) 1 (* (pow h0 3) 1)) (fma (* 3 (* h0 h1)) h1 (- (* (pow h0 (/ 3 2)) (pow h0 (/ 3 2))))) (fma (- (pow h0 (/ 3 2))) (pow h0 (/ 3 2)) (* (pow h0 (/ 3 2)) (pow h0 (/ 3 2)))) (expm1 (- (* (* 3 (* h0 h1)) h1) (pow h0 3))) (log1p (- (* (* 3 (* h0 h1)) h1) (pow h0 3))) (- (pow h0 3)) (/ (exp (* (* 3 (* h0 h1)) h1)) (exp (pow h0 3))) (log (- (* (* 3 (* h0 h1)) h1) (pow h0 3))) (exp (- (* (* 3 (* h0 h1)) h1) (pow h0 3))) (* (cbrt (- (* (* 3 (* h0 h1)) h1) (pow h0 3))) (cbrt (- (* (* 3 (* h0 h1)) h1) (pow h0 3)))) (cbrt (- (* (* 3 (* h0 h1)) h1) (pow h0 3))) (* (* (- (* (* 3 (* h0 h1)) h1) (pow h0 3)) (- (* (* 3 (* h0 h1)) h1) (pow h0 3))) (- (* (* 3 (* h0 h1)) h1) (pow h0 3))) (sqrt (- (* (* 3 (* h0 h1)) h1) (pow h0 3))) (sqrt (- (* (* 3 (* h0 h1)) h1) (pow h0 3))) (- (pow (* (* 3 (* h0 h1)) h1) 3) (pow (pow h0 3) 3)) (+ (* (* (* 3 (* h0 h1)) h1) (* (* 3 (* h0 h1)) h1)) (+ (* (pow h0 3) (pow h0 3)) (* (* (* 3 (* h0 h1)) h1) (pow h0 3)))) (- (pow h0 3)) (- (* (* (* 3 (* h0 h1)) h1) (* (* 3 (* h0 h1)) h1)) (* (pow h0 3) (pow h0 3))) (+ (* (* 3 (* h0 h1)) h1) (pow h0 3)) (- (pow h0 3)) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (- (* 3 (* h0 (pow h1 2))) (pow h0 3)) (- (* 3 (* h0 (pow h1 2))) (pow h0 3)) (- (* 3 (* h0 (pow h1 2))) (pow h0 3)) 1.220 * * [simplify]: iteration 0 : 353 enodes (cost 457 ) 1.228 * * [simplify]: iteration 1 : 1904 enodes (cost 388 ) 1.291 * * [simplify]: iteration 2 : 5002 enodes (cost 386 ) 1.293 * [simplify]: Simplified to: (expm1 (* 3 (* x.im x.re))) (log1p (* 3 (* x.im x.re))) (* 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)) (expm1 (* (* 3 (* x.im x.re)) x.re)) (log1p (* (* 3 (* 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 x.re)) x.re) 3) (pow (* (* 3 (* x.im x.re)) x.re) 3) (pow (* (* 3 (* x.im x.re)) x.re) 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 x.re)) x.re) 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)) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (expm1 (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (log1p (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (- (pow x.im 3)) (exp (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (log (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (exp (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (* (cbrt (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (cbrt (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)))) (cbrt (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (pow (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) 3) (sqrt (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (sqrt (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))) (- (pow (* (* 3 (* x.im x.re)) x.re) 3) (pow (pow x.im 3) 3)) (fma (* (* x.im x.re) 9) (* (pow x.re 3) x.im) (fma (* 3 (* x.im x.re)) (* x.re (pow x.im 3)) (pow x.im 6))) (- (pow x.im 3)) (fma (* (* x.im x.re) 9) (* (pow x.re 3) x.im) (- (* (pow x.im 3) (pow x.im 3)))) (fma (* 3 (* x.im x.re)) x.re (pow x.im 3)) (- (pow x.im 3)) (* 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))) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) (- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3)) 1.294 * * * [progress]: adding candidates to table 1.407 * * [progress]: iteration 4 / 4 1.407 * * * [progress]: picking best candidate 1.417 * * * * [pick]: Picked # 1.417 * * * [progress]: localizing error 1.427 * * * [progress]: generating rewritten candidates 1.427 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.446 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.503 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.570 * * * [progress]: generating series expansions 1.570 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.570 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 1.570 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 1.570 * [taylor]: Taking taylor expansion of 3 in x.re 1.570 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.570 * [taylor]: Taking taylor expansion of x.im in x.re 1.570 * [taylor]: Taking taylor expansion of x.re in x.re 1.570 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 1.570 * [taylor]: Taking taylor expansion of 3 in x.im 1.570 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.570 * [taylor]: Taking taylor expansion of x.im in x.im 1.570 * [taylor]: Taking taylor expansion of x.re in x.im 1.570 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 1.570 * [taylor]: Taking taylor expansion of 3 in x.im 1.570 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.570 * [taylor]: Taking taylor expansion of x.im in x.im 1.570 * [taylor]: Taking taylor expansion of x.re in x.im 1.571 * [taylor]: Taking taylor expansion of 0 in x.re 1.571 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 1.571 * [taylor]: Taking taylor expansion of 3 in x.re 1.571 * [taylor]: Taking taylor expansion of x.re in x.re 1.572 * [taylor]: Taking taylor expansion of 0 in x.re 1.574 * [taylor]: Taking taylor expansion of 0 in x.re 1.576 * [taylor]: Taking taylor expansion of 0 in x.re 1.576 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 1.576 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 1.576 * [taylor]: Taking taylor expansion of 3 in x.re 1.576 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.576 * [taylor]: Taking taylor expansion of x.im in x.re 1.576 * [taylor]: Taking taylor expansion of x.re in x.re 1.577 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.577 * [taylor]: Taking taylor expansion of 3 in x.im 1.577 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.577 * [taylor]: Taking taylor expansion of x.im in x.im 1.577 * [taylor]: Taking taylor expansion of x.re in x.im 1.577 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.577 * [taylor]: Taking taylor expansion of 3 in x.im 1.577 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.577 * [taylor]: Taking taylor expansion of x.im in x.im 1.577 * [taylor]: Taking taylor expansion of x.re in x.im 1.577 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 1.577 * [taylor]: Taking taylor expansion of 3 in x.re 1.577 * [taylor]: Taking taylor expansion of x.re in x.re 1.578 * [taylor]: Taking taylor expansion of 0 in x.re 1.579 * [taylor]: Taking taylor expansion of 0 in x.re 1.581 * [taylor]: Taking taylor expansion of 0 in x.re 1.582 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 1.582 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 1.582 * [taylor]: Taking taylor expansion of 3 in x.re 1.582 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.582 * [taylor]: Taking taylor expansion of x.im in x.re 1.582 * [taylor]: Taking taylor expansion of x.re in x.re 1.582 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.582 * [taylor]: Taking taylor expansion of 3 in x.im 1.582 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.582 * [taylor]: Taking taylor expansion of x.im in x.im 1.582 * [taylor]: Taking taylor expansion of x.re in x.im 1.582 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.582 * [taylor]: Taking taylor expansion of 3 in x.im 1.582 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.583 * [taylor]: Taking taylor expansion of x.im in x.im 1.583 * [taylor]: Taking taylor expansion of x.re in x.im 1.583 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 1.583 * [taylor]: Taking taylor expansion of 3 in x.re 1.583 * [taylor]: Taking taylor expansion of x.re in x.re 1.584 * [taylor]: Taking taylor expansion of 0 in x.re 1.585 * [taylor]: Taking taylor expansion of 0 in x.re 1.586 * [taylor]: Taking taylor expansion of 0 in x.re 1.587 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.587 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.587 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 1.587 * [taylor]: Taking taylor expansion of 3 in x.re 1.587 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.587 * [taylor]: Taking taylor expansion of x.im in x.re 1.587 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.587 * [taylor]: Taking taylor expansion of x.re in x.re 1.587 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 1.587 * [taylor]: Taking taylor expansion of 3 in x.im 1.587 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.587 * [taylor]: Taking taylor expansion of x.im in x.im 1.587 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.587 * [taylor]: Taking taylor expansion of x.re in x.im 1.587 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 1.587 * [taylor]: Taking taylor expansion of 3 in x.im 1.587 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.587 * [taylor]: Taking taylor expansion of x.im in x.im 1.587 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.587 * [taylor]: Taking taylor expansion of x.re in x.im 1.588 * [taylor]: Taking taylor expansion of 0 in x.re 1.589 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 1.589 * [taylor]: Taking taylor expansion of 3 in x.re 1.589 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.589 * [taylor]: Taking taylor expansion of x.re in x.re 1.590 * [taylor]: Taking taylor expansion of 0 in x.re 1.593 * [taylor]: Taking taylor expansion of 0 in x.re 1.593 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.593 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 1.593 * [taylor]: Taking taylor expansion of 3 in x.re 1.593 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.593 * [taylor]: Taking taylor expansion of x.im in x.re 1.593 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.593 * [taylor]: Taking taylor expansion of x.re in x.re 1.594 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 1.594 * [taylor]: Taking taylor expansion of 3 in x.im 1.594 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.594 * [taylor]: Taking taylor expansion of x.im in x.im 1.594 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.594 * [taylor]: Taking taylor expansion of x.re in x.im 1.594 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 1.594 * [taylor]: Taking taylor expansion of 3 in x.im 1.594 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.594 * [taylor]: Taking taylor expansion of x.im in x.im 1.594 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.594 * [taylor]: Taking taylor expansion of x.re in x.im 1.595 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 1.595 * [taylor]: Taking taylor expansion of 3 in x.re 1.595 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.595 * [taylor]: Taking taylor expansion of x.re in x.re 1.596 * [taylor]: Taking taylor expansion of 0 in x.re 1.598 * [taylor]: Taking taylor expansion of 0 in x.re 1.601 * [taylor]: Taking taylor expansion of 0 in x.re 1.605 * [taylor]: Taking taylor expansion of 0 in x.re 1.605 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 1.605 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 1.605 * [taylor]: Taking taylor expansion of -3 in x.re 1.605 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.605 * [taylor]: Taking taylor expansion of x.im in x.re 1.605 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.605 * [taylor]: Taking taylor expansion of x.re in x.re 1.605 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 1.605 * [taylor]: Taking taylor expansion of -3 in x.im 1.605 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.605 * [taylor]: Taking taylor expansion of x.im in x.im 1.605 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.605 * [taylor]: Taking taylor expansion of x.re in x.im 1.606 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 1.606 * [taylor]: Taking taylor expansion of -3 in x.im 1.606 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.606 * [taylor]: Taking taylor expansion of x.im in x.im 1.606 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.606 * [taylor]: Taking taylor expansion of x.re in x.im 1.607 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 1.607 * [taylor]: Taking taylor expansion of -3 in x.re 1.607 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.607 * [taylor]: Taking taylor expansion of x.re in x.re 1.608 * [taylor]: Taking taylor expansion of 0 in x.re 1.610 * [taylor]: Taking taylor expansion of 0 in x.re 1.613 * [taylor]: Taking taylor expansion of 0 in x.re 1.616 * [taylor]: Taking taylor expansion of 0 in x.re 1.617 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.617 * [approximate]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in (x.im x.re) around 0 1.617 * [taylor]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in x.re 1.617 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 1.617 * [taylor]: Taking taylor expansion of 3 in x.re 1.617 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.617 * [taylor]: Taking taylor expansion of x.im in x.re 1.617 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.617 * [taylor]: Taking taylor expansion of x.re in x.re 1.617 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.re 1.617 * [taylor]: Taking taylor expansion of x.im in x.re 1.617 * [taylor]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in x.im 1.617 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 1.617 * [taylor]: Taking taylor expansion of 3 in x.im 1.617 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.617 * [taylor]: Taking taylor expansion of x.im in x.im 1.617 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.617 * [taylor]: Taking taylor expansion of x.re in x.im 1.617 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 1.617 * [taylor]: Taking taylor expansion of x.im in x.im 1.617 * [taylor]: Taking taylor expansion of (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) in x.im 1.617 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 1.617 * [taylor]: Taking taylor expansion of 3 in x.im 1.617 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.617 * [taylor]: Taking taylor expansion of x.im in x.im 1.617 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.617 * [taylor]: Taking taylor expansion of x.re in x.im 1.617 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 1.617 * [taylor]: Taking taylor expansion of x.im in x.im 1.618 * [taylor]: Taking taylor expansion of 0 in x.re 1.619 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 1.619 * [taylor]: Taking taylor expansion of 3 in x.re 1.619 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.619 * [taylor]: Taking taylor expansion of x.re in x.re 1.620 * [taylor]: Taking taylor expansion of 0 in x.re 1.623 * [taylor]: Taking taylor expansion of -1 in x.re 1.627 * [taylor]: Taking taylor expansion of 0 in x.re 1.628 * [approximate]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in (x.im x.re) around 0 1.628 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in x.re 1.628 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.re 1.628 * [taylor]: Taking taylor expansion of 3 in x.re 1.628 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 1.628 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.628 * [taylor]: Taking taylor expansion of x.im in x.re 1.628 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.628 * [taylor]: Taking taylor expansion of x.re in x.re 1.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.re 1.628 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.re 1.628 * [taylor]: Taking taylor expansion of x.im in x.re 1.628 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in x.im 1.628 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 1.628 * [taylor]: Taking taylor expansion of 3 in x.im 1.628 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 1.628 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.628 * [taylor]: Taking taylor expansion of x.im in x.im 1.628 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.628 * [taylor]: Taking taylor expansion of x.re in x.im 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 1.629 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 1.629 * [taylor]: Taking taylor expansion of x.im in x.im 1.630 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (* x.im (pow x.re 2)))) (/ 1 (pow x.im 3))) in x.im 1.630 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 1.630 * [taylor]: Taking taylor expansion of 3 in x.im 1.630 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 1.630 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.630 * [taylor]: Taking taylor expansion of x.im in x.im 1.630 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.630 * [taylor]: Taking taylor expansion of x.re in x.im 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 1.630 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 1.630 * [taylor]: Taking taylor expansion of x.im in x.im 1.631 * [taylor]: Taking taylor expansion of -1 in x.re 1.633 * [taylor]: Taking taylor expansion of 0 in x.re 1.634 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.re 2))) in x.re 1.634 * [taylor]: Taking taylor expansion of 3 in x.re 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 1.634 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.634 * [taylor]: Taking taylor expansion of x.re in x.re 1.641 * [taylor]: Taking taylor expansion of 0 in x.re 1.646 * [taylor]: Taking taylor expansion of 0 in x.re 1.648 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in (x.im x.re) around 0 1.648 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in x.re 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.re 1.648 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.re 1.648 * [taylor]: Taking taylor expansion of x.im in x.re 1.648 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.re 1.648 * [taylor]: Taking taylor expansion of 3 in x.re 1.648 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 1.648 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 1.648 * [taylor]: Taking taylor expansion of x.im in x.re 1.648 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.649 * [taylor]: Taking taylor expansion of x.re in x.re 1.649 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in x.im 1.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 1.649 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 1.649 * [taylor]: Taking taylor expansion of x.im in x.im 1.649 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 1.650 * [taylor]: Taking taylor expansion of 3 in x.im 1.650 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 1.650 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.650 * [taylor]: Taking taylor expansion of x.im in x.im 1.650 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.650 * [taylor]: Taking taylor expansion of x.re in x.im 1.650 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 3)) (* 3 (/ 1 (* x.im (pow x.re 2))))) in x.im 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 3)) in x.im 1.650 * [taylor]: Taking taylor expansion of (pow x.im 3) in x.im 1.650 * [taylor]: Taking taylor expansion of x.im in x.im 1.651 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (* x.im (pow x.re 2)))) in x.im 1.651 * [taylor]: Taking taylor expansion of 3 in x.im 1.651 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 1.651 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 1.651 * [taylor]: Taking taylor expansion of x.im in x.im 1.651 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 1.651 * [taylor]: Taking taylor expansion of x.re in x.im 1.652 * [taylor]: Taking taylor expansion of 1 in x.re 1.653 * [taylor]: Taking taylor expansion of 0 in x.re 1.654 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow x.re 2)))) in x.re 1.654 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow x.re 2))) in x.re 1.654 * [taylor]: Taking taylor expansion of 3 in x.re 1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 1.655 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 1.655 * [taylor]: Taking taylor expansion of x.re in x.re 1.658 * [taylor]: Taking taylor expansion of 0 in x.re 1.664 * [taylor]: Taking taylor expansion of 0 in x.re 1.666 * * * [progress]: simplifying candidates 1.667 * [simplify]: Simplifying using # : (expm1 (* (* 3 x.im) x.re)) (log1p (* (* 3 x.im) 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) (expm1 (* (* (* 3 x.im) x.re) x.re)) (log1p (* (* (* 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) (+ (+ (+ (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) (fma (* (* 3 x.im) x.re) x.re (- (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3)))) (fma (- (pow (cbrt x.im) 3)) (pow (* (cbrt x.im) (cbrt x.im)) 3) (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3))) (fma (* (* 3 x.im) x.re) x.re (- (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3)))) (fma (- (pow (sqrt x.im) 3)) (pow (sqrt x.im) 3) (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3))) (fma (* (* 3 x.im) x.re) x.re (- (* (pow x.im 3) (pow 1 3)))) (fma (- (pow x.im 3)) (pow 1 3) (* (pow x.im 3) (pow 1 3))) (fma (* (* 3 x.im) x.re) x.re (- (* x.im (* x.im x.im)))) (fma (- x.im) (* x.im x.im) (* x.im (* x.im x.im))) (fma (* (* 3 x.im) x.re) x.re (- (* (cbrt (pow x.im 3)) (* (cbrt (pow x.im 3)) (cbrt (pow x.im 3)))))) (fma (- (cbrt (pow x.im 3))) (* (cbrt (pow x.im 3)) (cbrt (pow x.im 3))) (* (cbrt (pow x.im 3)) (* (cbrt (pow x.im 3)) (cbrt (pow x.im 3))))) (fma (* (* 3 x.im) x.re) x.re (- (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3)))) (fma (- (pow (cbrt x.im) 3)) (pow (* (cbrt x.im) (cbrt x.im)) 3) (* (pow (cbrt x.im) 3) (pow (* (cbrt x.im) (cbrt x.im)) 3))) (fma (* (* 3 x.im) x.re) x.re (- (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3)))) (fma (- (pow (sqrt x.im) 3)) (pow (sqrt x.im) 3) (* (pow (sqrt x.im) 3) (pow (sqrt x.im) 3))) (fma (* (* 3 x.im) x.re) x.re (- (* (pow x.im 3) (pow 1 3)))) (fma (- (pow x.im 3)) (pow 1 3) (* (pow x.im 3) (pow 1 3))) (fma (* (* 3 x.im) x.re) x.re (- (* (* x.im x.im) x.im))) (fma (- (* x.im x.im)) x.im (* (* x.im x.im) x.im)) (fma (* (* 3 x.im) x.re) x.re (- (* (sqrt (pow x.im 3)) (sqrt (pow x.im 3))))) (fma (- (sqrt (pow x.im 3))) (sqrt (pow x.im 3)) (* (sqrt (pow x.im 3)) (sqrt (pow x.im 3)))) (fma (* (* 3 x.im) x.re) x.re (- (* (pow x.im 3) 1))) (fma (- (pow x.im 3)) 1 (* (pow x.im 3) 1)) (fma (* (* 3 x.im) x.re) x.re (- (* (pow x.im (/ 3 2)) (pow x.im (/ 3 2))))) (fma (- (pow x.im (/ 3 2))) (pow x.im (/ 3 2)) (* (pow x.im (/ 3 2)) (pow x.im (/ 3 2)))) (expm1 (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (log1p (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (- (pow x.im 3)) (/ (exp (* (* (* 3 x.im) x.re) x.re)) (exp (pow x.im 3))) (log (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (exp (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (* (cbrt (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (cbrt (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)))) (cbrt (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (* (* (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (sqrt (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (sqrt (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (- (pow (* (* (* 3 x.im) x.re) x.re) 3) (pow (pow x.im 3) 3)) (+ (* (* (* (* 3 x.im) x.re) x.re) (* (* (* 3 x.im) x.re) x.re)) (+ (* (pow x.im 3) (pow x.im 3)) (* (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)))) (- (pow x.im 3)) (- (* (* (* (* 3 x.im) x.re) x.re) (* (* (* 3 x.im) x.re) x.re)) (* (pow x.im 3) (pow x.im 3))) (+ (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (- (pow x.im 3)) (* 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))) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) 1.667 * [simplify]: Sending expressions to egg_math: (expm1 (* (* 3 h0) h1)) (log1p (* (* 3 h0) 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) (expm1 (* (* (* 3 h0) h1) h1)) (log1p (* (* (* 3 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 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) (fma (* (* 3 h0) h1) h1 (- (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3)))) (fma (- (pow (cbrt h0) 3)) (pow (* (cbrt h0) (cbrt h0)) 3) (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3))) (fma (* (* 3 h0) h1) h1 (- (* (pow (sqrt h0) 3) (pow (sqrt h0) 3)))) (fma (- (pow (sqrt h0) 3)) (pow (sqrt h0) 3) (* (pow (sqrt h0) 3) (pow (sqrt h0) 3))) (fma (* (* 3 h0) h1) h1 (- (* (pow h0 3) (pow 1 3)))) (fma (- (pow h0 3)) (pow 1 3) (* (pow h0 3) (pow 1 3))) (fma (* (* 3 h0) h1) h1 (- (* h0 (* h0 h0)))) (fma (- h0) (* h0 h0) (* h0 (* h0 h0))) (fma (* (* 3 h0) h1) h1 (- (* (cbrt (pow h0 3)) (* (cbrt (pow h0 3)) (cbrt (pow h0 3)))))) (fma (- (cbrt (pow h0 3))) (* (cbrt (pow h0 3)) (cbrt (pow h0 3))) (* (cbrt (pow h0 3)) (* (cbrt (pow h0 3)) (cbrt (pow h0 3))))) (fma (* (* 3 h0) h1) h1 (- (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3)))) (fma (- (pow (cbrt h0) 3)) (pow (* (cbrt h0) (cbrt h0)) 3) (* (pow (cbrt h0) 3) (pow (* (cbrt h0) (cbrt h0)) 3))) (fma (* (* 3 h0) h1) h1 (- (* (pow (sqrt h0) 3) (pow (sqrt h0) 3)))) (fma (- (pow (sqrt h0) 3)) (pow (sqrt h0) 3) (* (pow (sqrt h0) 3) (pow (sqrt h0) 3))) (fma (* (* 3 h0) h1) h1 (- (* (pow h0 3) (pow 1 3)))) (fma (- (pow h0 3)) (pow 1 3) (* (pow h0 3) (pow 1 3))) (fma (* (* 3 h0) h1) h1 (- (* (* h0 h0) h0))) (fma (- (* h0 h0)) h0 (* (* h0 h0) h0)) (fma (* (* 3 h0) h1) h1 (- (* (sqrt (pow h0 3)) (sqrt (pow h0 3))))) (fma (- (sqrt (pow h0 3))) (sqrt (pow h0 3)) (* (sqrt (pow h0 3)) (sqrt (pow h0 3)))) (fma (* (* 3 h0) h1) h1 (- (* (pow h0 3) 1))) (fma (- (pow h0 3)) 1 (* (pow h0 3) 1)) (fma (* (* 3 h0) h1) h1 (- (* (pow h0 (/ 3 2)) (pow h0 (/ 3 2))))) (fma (- (pow h0 (/ 3 2))) (pow h0 (/ 3 2)) (* (pow h0 (/ 3 2)) (pow h0 (/ 3 2)))) (expm1 (- (* (* (* 3 h0) h1) h1) (pow h0 3))) (log1p (- (* (* (* 3 h0) h1) h1) (pow h0 3))) (- (pow h0 3)) (/ (exp (* (* (* 3 h0) h1) h1)) (exp (pow h0 3))) (log (- (* (* (* 3 h0) h1) h1) (pow h0 3))) (exp (- (* (* (* 3 h0) h1) h1) (pow h0 3))) (* (cbrt (- (* (* (* 3 h0) h1) h1) (pow h0 3))) (cbrt (- (* (* (* 3 h0) h1) h1) (pow h0 3)))) (cbrt (- (* (* (* 3 h0) h1) h1) (pow h0 3))) (* (* (- (* (* (* 3 h0) h1) h1) (pow h0 3)) (- (* (* (* 3 h0) h1) h1) (pow h0 3))) (- (* (* (* 3 h0) h1) h1) (pow h0 3))) (sqrt (- (* (* (* 3 h0) h1) h1) (pow h0 3))) (sqrt (- (* (* (* 3 h0) h1) h1) (pow h0 3))) (- (pow (* (* (* 3 h0) h1) h1) 3) (pow (pow h0 3) 3)) (+ (* (* (* (* 3 h0) h1) h1) (* (* (* 3 h0) h1) h1)) (+ (* (pow h0 3) (pow h0 3)) (* (* (* (* 3 h0) h1) h1) (pow h0 3)))) (- (pow h0 3)) (- (* (* (* (* 3 h0) h1) h1) (* (* (* 3 h0) h1) h1)) (* (pow h0 3) (pow h0 3))) (+ (* (* (* 3 h0) h1) h1) (pow h0 3)) (- (pow h0 3)) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (- (* 3 (* h0 (pow h1 2))) (pow h0 3)) (- (* 3 (* h0 (pow h1 2))) (pow h0 3)) (- (* 3 (* h0 (pow h1 2))) (pow h0 3)) 1.672 * * [simplify]: iteration 0 : 355 enodes (cost 459 ) 1.681 * * [simplify]: iteration 1 : 2021 enodes (cost 388 ) 1.746 * * [simplify]: iteration 2 : 5002 enodes (cost 386 ) 1.748 * [simplify]: Simplified to: (expm1 (* (* 3 x.im) x.re)) (log1p (* (* 3 x.im) x.re)) (* (* 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) (expm1 (* (* (* 3 x.im) x.re) x.re)) (log1p (* (* (* 3 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) x.re) x.re) 3) (pow (* (* (* 3 x.im) x.re) x.re) 3) (pow (* (* (* 3 x.im) x.re) x.re) 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) x.re) x.re) 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) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (fma (- (pow x.im 3)) 1 (pow x.im 3)) (expm1 (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (log1p (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (- (pow x.im 3)) (exp (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (log (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (exp (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (* (cbrt (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (cbrt (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)))) (cbrt (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (pow (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) 3) (sqrt (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (sqrt (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))) (- (pow (* (* (* 3 x.im) x.re) x.re) 3) (pow (pow x.im 3) 3)) (fma (* x.re (* 9 (* x.im x.im))) (pow x.re 3) (fma (* (* 3 x.im) x.re) (* x.re (pow x.im 3)) (pow x.im 6))) (- (pow x.im 3)) (fma (* x.re (* 9 (* x.im x.im))) (pow x.re 3) (- (* (pow x.im 3) (pow x.im 3)))) (fma (* (* 3 x.im) x.re) x.re (pow x.im 3)) (- (pow x.im 3)) (* (* 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))) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) (- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3)) 1.748 * * * [progress]: adding candidates to table 1.862 * [progress]: [Phase 3 of 3] Extracting. 1.862 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.863 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 1.863 * * * * [regimes]: Trying to branch on x.im from (# # # # # # #) 1.886 * * * * [regimes]: Trying to branch on x.re from (# # # # # # #) 1.908 * * * [regime]: Found split indices: #