7.133 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) 0.030 * [simplify]: Sending expressions to egg_math: (+ (* (- (* h0 h0) (* h1 h1)) h1) (* (+ (* h0 h1) (* h1 h0)) h0)) 0.033 * * [simplify]: iteration 0 : 23 enodes (cost 8 ) 0.035 * * [simplify]: iteration 1 : 56 enodes (cost 7 ) 0.036 * * [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 ) 0.094 * [simplify]: Simplified to: (- (* 3 (* x.im (* x.re x.re))) (pow x.im 3)) 0.097 * * [progress]: iteration 1 / 4 0.097 * * * [progress]: picking best candidate 0.099 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.107 * * * [progress]: generating rewritten candidates 0.107 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.126 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.168 * * * [progress]: generating series expansions 0.168 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.168 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.168 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.168 * [taylor]: Taking taylor expansion of x.im in x.re 0.168 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.168 * [taylor]: Taking taylor expansion of x.re in x.re 0.168 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.168 * [taylor]: Taking taylor expansion of x.im in x.im 0.168 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.168 * [taylor]: Taking taylor expansion of x.re in x.im 0.168 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.168 * [taylor]: Taking taylor expansion of x.im in x.im 0.168 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.168 * [taylor]: Taking taylor expansion of x.re in x.im 0.169 * [taylor]: Taking taylor expansion of 0 in x.re 0.169 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.169 * [taylor]: Taking taylor expansion of x.re in x.re 0.170 * [taylor]: Taking taylor expansion of 0 in x.re 0.172 * [taylor]: Taking taylor expansion of 0 in x.re 0.172 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.172 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.172 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.172 * [taylor]: Taking taylor expansion of x.im in x.re 0.172 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.172 * [taylor]: Taking taylor expansion of x.re in x.re 0.173 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.173 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.173 * [taylor]: Taking taylor expansion of x.im in x.im 0.173 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.173 * [taylor]: Taking taylor expansion of x.re in x.im 0.173 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.173 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.173 * [taylor]: Taking taylor expansion of x.im in x.im 0.173 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.173 * [taylor]: Taking taylor expansion of x.re in x.im 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.174 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.174 * [taylor]: Taking taylor expansion of x.re in x.re 0.175 * [taylor]: Taking taylor expansion of 0 in x.re 0.177 * [taylor]: Taking taylor expansion of 0 in x.re 0.180 * [taylor]: Taking taylor expansion of 0 in x.re 0.183 * [taylor]: Taking taylor expansion of 0 in x.re 0.184 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.184 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.184 * [taylor]: Taking taylor expansion of -1 in x.re 0.184 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.184 * [taylor]: Taking taylor expansion of x.im in x.re 0.184 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.184 * [taylor]: Taking taylor expansion of x.re in x.re 0.184 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.184 * [taylor]: Taking taylor expansion of -1 in x.im 0.184 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.184 * [taylor]: Taking taylor expansion of x.im in x.im 0.184 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.184 * [taylor]: Taking taylor expansion of x.re in x.im 0.185 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.185 * [taylor]: Taking taylor expansion of -1 in x.im 0.185 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.185 * [taylor]: Taking taylor expansion of x.im in x.im 0.185 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.185 * [taylor]: Taking taylor expansion of x.re in x.im 0.185 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.185 * [taylor]: Taking taylor expansion of -1 in x.re 0.185 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.185 * [taylor]: Taking taylor expansion of x.re in x.re 0.189 * [taylor]: Taking taylor expansion of 0 in x.re 0.191 * [taylor]: Taking taylor expansion of 0 in x.re 0.194 * [taylor]: Taking taylor expansion of 0 in x.re 0.198 * [taylor]: Taking taylor expansion of 0 in x.re 0.198 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.198 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.198 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.198 * [taylor]: Taking taylor expansion of 3 in x.re 0.198 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.198 * [taylor]: Taking taylor expansion of x.im in x.re 0.198 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.198 * [taylor]: Taking taylor expansion of x.re in x.re 0.198 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.198 * [taylor]: Taking taylor expansion of 3 in x.im 0.198 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.198 * [taylor]: Taking taylor expansion of x.im in x.im 0.198 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.198 * [taylor]: Taking taylor expansion of x.re in x.im 0.198 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.198 * [taylor]: Taking taylor expansion of 3 in x.im 0.198 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.198 * [taylor]: Taking taylor expansion of x.im in x.im 0.198 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.198 * [taylor]: Taking taylor expansion of x.re in x.im 0.199 * [taylor]: Taking taylor expansion of 0 in x.re 0.199 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.199 * [taylor]: Taking taylor expansion of 3 in x.re 0.199 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.199 * [taylor]: Taking taylor expansion of x.re in x.re 0.201 * [taylor]: Taking taylor expansion of 0 in x.re 0.204 * [taylor]: Taking taylor expansion of 0 in x.re 0.204 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.204 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.204 * [taylor]: Taking taylor expansion of 3 in x.re 0.204 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.204 * [taylor]: Taking taylor expansion of x.im in x.re 0.204 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.204 * [taylor]: Taking taylor expansion of x.re in x.re 0.205 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.205 * [taylor]: Taking taylor expansion of 3 in x.im 0.205 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.205 * [taylor]: Taking taylor expansion of x.im in x.im 0.205 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.205 * [taylor]: Taking taylor expansion of x.re in x.im 0.205 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.205 * [taylor]: Taking taylor expansion of 3 in x.im 0.205 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.205 * [taylor]: Taking taylor expansion of x.im in x.im 0.205 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.205 * [taylor]: Taking taylor expansion of x.re in x.im 0.206 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.206 * [taylor]: Taking taylor expansion of 3 in x.re 0.206 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.206 * [taylor]: Taking taylor expansion of x.re in x.re 0.207 * [taylor]: Taking taylor expansion of 0 in x.re 0.210 * [taylor]: Taking taylor expansion of 0 in x.re 0.212 * [taylor]: Taking taylor expansion of 0 in x.re 0.216 * [taylor]: Taking taylor expansion of 0 in x.re 0.216 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.216 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.216 * [taylor]: Taking taylor expansion of -3 in x.re 0.216 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.216 * [taylor]: Taking taylor expansion of x.im in x.re 0.216 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.216 * [taylor]: Taking taylor expansion of x.re in x.re 0.217 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.217 * [taylor]: Taking taylor expansion of -3 in x.im 0.217 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.217 * [taylor]: Taking taylor expansion of x.im in x.im 0.217 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.217 * [taylor]: Taking taylor expansion of x.re in x.im 0.217 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.217 * [taylor]: Taking taylor expansion of -3 in x.im 0.217 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.217 * [taylor]: Taking taylor expansion of x.im in x.im 0.217 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.217 * [taylor]: Taking taylor expansion of x.re in x.im 0.218 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.218 * [taylor]: Taking taylor expansion of -3 in x.re 0.218 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.218 * [taylor]: Taking taylor expansion of x.re in x.re 0.219 * [taylor]: Taking taylor expansion of 0 in x.re 0.221 * [taylor]: Taking taylor expansion of 0 in x.re 0.224 * [taylor]: Taking taylor expansion of 0 in x.re 0.228 * [taylor]: Taking taylor expansion of 0 in x.re 0.228 * * * [progress]: simplifying candidates 0.229 * [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))) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.229 * [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))) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) 0.232 * * [simplify]: iteration 0 : 156 enodes (cost 197 ) 0.236 * * [simplify]: iteration 1 : 594 enodes (cost 161 ) 0.249 * * [simplify]: iteration 2 : 2921 enodes (cost 161 ) 0.310 * * [simplify]: iteration 3 : 5001 enodes (cost 161 ) 0.311 * [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 (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* 3 (* x.im (* x.re x.re)))) (cbrt (* 3 (* x.im (* x.re x.re))))) (cbrt (* 3 (* x.im (* x.re x.re)))) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* 3 (* x.im (* x.re x.re)))) (sqrt (* 3 (* x.im (* x.re x.re)))) (* 3 x.im) (* (cbrt 3) (* x.im (* x.re x.re))) (* (sqrt 3) (* x.im (* x.re x.re))) (* 3 (* x.im (pow x.re 2))) (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (* x.im (* x.re x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.311 * * * [progress]: adding candidates to table 0.392 * * [progress]: iteration 2 / 4 0.392 * * * [progress]: picking best candidate 0.401 * * * * [pick]: Picked # 0.401 * * * [progress]: localizing error 0.408 * * * [progress]: generating rewritten candidates 0.408 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.453 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.471 * * * [progress]: generating series expansions 0.471 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.471 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.471 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.471 * [taylor]: Taking taylor expansion of 3 in x.re 0.471 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.471 * [taylor]: Taking taylor expansion of x.im in x.re 0.471 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.471 * [taylor]: Taking taylor expansion of x.re in x.re 0.471 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.471 * [taylor]: Taking taylor expansion of 3 in x.im 0.471 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.471 * [taylor]: Taking taylor expansion of x.im in x.im 0.471 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.471 * [taylor]: Taking taylor expansion of x.re in x.im 0.471 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.471 * [taylor]: Taking taylor expansion of 3 in x.im 0.471 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.471 * [taylor]: Taking taylor expansion of x.im in x.im 0.471 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.471 * [taylor]: Taking taylor expansion of x.re in x.im 0.472 * [taylor]: Taking taylor expansion of 0 in x.re 0.473 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.473 * [taylor]: Taking taylor expansion of 3 in x.re 0.473 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.473 * [taylor]: Taking taylor expansion of x.re in x.re 0.475 * [taylor]: Taking taylor expansion of 0 in x.re 0.477 * [taylor]: Taking taylor expansion of 0 in x.re 0.477 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.477 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.477 * [taylor]: Taking taylor expansion of 3 in x.re 0.478 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.478 * [taylor]: Taking taylor expansion of x.im in x.re 0.478 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.478 * [taylor]: Taking taylor expansion of x.re in x.re 0.478 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.478 * [taylor]: Taking taylor expansion of 3 in x.im 0.478 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.478 * [taylor]: Taking taylor expansion of x.im in x.im 0.478 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.478 * [taylor]: Taking taylor expansion of x.re in x.im 0.478 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.478 * [taylor]: Taking taylor expansion of 3 in x.im 0.478 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.478 * [taylor]: Taking taylor expansion of x.im in x.im 0.479 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.479 * [taylor]: Taking taylor expansion of x.re in x.im 0.479 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.479 * [taylor]: Taking taylor expansion of 3 in x.re 0.479 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.479 * [taylor]: Taking taylor expansion of x.re in x.re 0.481 * [taylor]: Taking taylor expansion of 0 in x.re 0.483 * [taylor]: Taking taylor expansion of 0 in x.re 0.486 * [taylor]: Taking taylor expansion of 0 in x.re 0.489 * [taylor]: Taking taylor expansion of 0 in x.re 0.490 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.490 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.490 * [taylor]: Taking taylor expansion of -3 in x.re 0.490 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.490 * [taylor]: Taking taylor expansion of x.im in x.re 0.490 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.490 * [taylor]: Taking taylor expansion of x.re in x.re 0.490 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.490 * [taylor]: Taking taylor expansion of -3 in x.im 0.490 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.490 * [taylor]: Taking taylor expansion of x.im in x.im 0.490 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.490 * [taylor]: Taking taylor expansion of x.re in x.im 0.491 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.491 * [taylor]: Taking taylor expansion of -3 in x.im 0.491 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.491 * [taylor]: Taking taylor expansion of x.im in x.im 0.491 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.491 * [taylor]: Taking taylor expansion of x.re in x.im 0.491 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.491 * [taylor]: Taking taylor expansion of -3 in x.re 0.491 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.491 * [taylor]: Taking taylor expansion of x.re in x.re 0.493 * [taylor]: Taking taylor expansion of 0 in x.re 0.495 * [taylor]: Taking taylor expansion of 0 in x.re 0.498 * [taylor]: Taking taylor expansion of 0 in x.re 0.501 * [taylor]: Taking taylor expansion of 0 in x.re 0.502 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.502 * [approximate]: Taking taylor expansion of (* x.im (pow x.re 2)) in (x.im x.re) around 0 0.502 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.502 * [taylor]: Taking taylor expansion of x.im in x.re 0.502 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.502 * [taylor]: Taking taylor expansion of x.re in x.re 0.502 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.502 * [taylor]: Taking taylor expansion of x.im in x.im 0.502 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.502 * [taylor]: Taking taylor expansion of x.re in x.im 0.502 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.502 * [taylor]: Taking taylor expansion of x.im in x.im 0.502 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.502 * [taylor]: Taking taylor expansion of x.re in x.im 0.502 * [taylor]: Taking taylor expansion of 0 in x.re 0.502 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.502 * [taylor]: Taking taylor expansion of x.re in x.re 0.503 * [taylor]: Taking taylor expansion of 0 in x.re 0.505 * [taylor]: Taking taylor expansion of 0 in x.re 0.505 * [approximate]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.505 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.re 0.505 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.505 * [taylor]: Taking taylor expansion of x.im in x.re 0.505 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.505 * [taylor]: Taking taylor expansion of x.re in x.re 0.505 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.506 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.506 * [taylor]: Taking taylor expansion of x.im in x.im 0.506 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.506 * [taylor]: Taking taylor expansion of x.re in x.im 0.506 * [taylor]: Taking taylor expansion of (/ 1 (* x.im (pow x.re 2))) in x.im 0.506 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.506 * [taylor]: Taking taylor expansion of x.im in x.im 0.506 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.506 * [taylor]: Taking taylor expansion of x.re in x.im 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x.re 2)) in x.re 0.507 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.507 * [taylor]: Taking taylor expansion of x.re in x.re 0.508 * [taylor]: Taking taylor expansion of 0 in x.re 0.510 * [taylor]: Taking taylor expansion of 0 in x.re 0.513 * [taylor]: Taking taylor expansion of 0 in x.re 0.517 * [taylor]: Taking taylor expansion of 0 in x.re 0.517 * [approximate]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.517 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.re 0.517 * [taylor]: Taking taylor expansion of -1 in x.re 0.517 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.517 * [taylor]: Taking taylor expansion of x.im in x.re 0.517 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.517 * [taylor]: Taking taylor expansion of x.re in x.re 0.517 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.517 * [taylor]: Taking taylor expansion of -1 in x.im 0.517 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.517 * [taylor]: Taking taylor expansion of x.im in x.im 0.517 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.517 * [taylor]: Taking taylor expansion of x.re in x.im 0.518 * [taylor]: Taking taylor expansion of (/ -1 (* x.im (pow x.re 2))) in x.im 0.518 * [taylor]: Taking taylor expansion of -1 in x.im 0.518 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.518 * [taylor]: Taking taylor expansion of x.im in x.im 0.518 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.518 * [taylor]: Taking taylor expansion of x.re in x.im 0.519 * [taylor]: Taking taylor expansion of (/ -1 (pow x.re 2)) in x.re 0.519 * [taylor]: Taking taylor expansion of -1 in x.re 0.519 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.519 * [taylor]: Taking taylor expansion of x.re in x.re 0.520 * [taylor]: Taking taylor expansion of 0 in x.re 0.523 * [taylor]: Taking taylor expansion of 0 in x.re 0.528 * [taylor]: Taking taylor expansion of 0 in x.re 0.531 * [taylor]: Taking taylor expansion of 0 in x.re 0.532 * * * [progress]: simplifying candidates 0.532 * [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) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) (* x.im (pow x.re 2)) 0.532 * [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) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) 0.536 * * [simplify]: iteration 0 : 169 enodes (cost 195 ) 0.541 * * [simplify]: iteration 1 : 861 enodes (cost 159 ) 0.564 * * [simplify]: iteration 2 : 5002 enodes (cost 159 ) 0.565 * [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 (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* 3 (* (* x.im x.re) x.re))) (cbrt (* 3 (* (* x.im x.re) x.re)))) (cbrt (* 3 (* (* x.im x.re) x.re))) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* 3 (* (* x.im x.re) x.re))) (sqrt (* 3 (* (* x.im x.re) x.re))) (* 3 (* x.im x.re)) (* (cbrt 3) (* (* x.im x.re) x.re)) (* (sqrt 3) (* (* x.im x.re) x.re)) (* 3 (* x.im (pow x.re 2))) (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))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) (* (* x.im x.re) x.re) 0.565 * * * [progress]: adding candidates to table 0.637 * * [progress]: iteration 3 / 4 0.637 * * * [progress]: picking best candidate 0.645 * * * * [pick]: Picked # 0.645 * * * [progress]: localizing error 0.653 * * * [progress]: generating rewritten candidates 0.653 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.671 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.716 * * * [progress]: generating series expansions 0.716 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.716 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.716 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.716 * [taylor]: Taking taylor expansion of 3 in x.re 0.716 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.716 * [taylor]: Taking taylor expansion of x.im in x.re 0.716 * [taylor]: Taking taylor expansion of x.re in x.re 0.716 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.716 * [taylor]: Taking taylor expansion of 3 in x.im 0.716 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.716 * [taylor]: Taking taylor expansion of x.im in x.im 0.716 * [taylor]: Taking taylor expansion of x.re in x.im 0.716 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.716 * [taylor]: Taking taylor expansion of 3 in x.im 0.716 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.716 * [taylor]: Taking taylor expansion of x.im in x.im 0.716 * [taylor]: Taking taylor expansion of x.re in x.im 0.717 * [taylor]: Taking taylor expansion of 0 in x.re 0.717 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.717 * [taylor]: Taking taylor expansion of 3 in x.re 0.717 * [taylor]: Taking taylor expansion of x.re in x.re 0.718 * [taylor]: Taking taylor expansion of 0 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 0.723 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.723 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.723 * [taylor]: Taking taylor expansion of 3 in x.re 0.723 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.723 * [taylor]: Taking taylor expansion of x.im in x.re 0.723 * [taylor]: Taking taylor expansion of x.re in x.re 0.723 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.723 * [taylor]: Taking taylor expansion of 3 in x.im 0.723 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.723 * [taylor]: Taking taylor expansion of x.im in x.im 0.723 * [taylor]: Taking taylor expansion of x.re in x.im 0.723 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.723 * [taylor]: Taking taylor expansion of 3 in x.im 0.723 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.723 * [taylor]: Taking taylor expansion of x.im in x.im 0.723 * [taylor]: Taking taylor expansion of x.re in x.im 0.724 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.724 * [taylor]: Taking taylor expansion of 3 in x.re 0.724 * [taylor]: Taking taylor expansion of x.re in x.re 0.727 * [taylor]: Taking taylor expansion of 0 in x.re 0.728 * [taylor]: Taking taylor expansion of 0 in x.re 0.730 * [taylor]: Taking taylor expansion of 0 in x.re 0.730 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 0.731 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 0.731 * [taylor]: Taking taylor expansion of 3 in x.re 0.731 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.731 * [taylor]: Taking taylor expansion of x.im in x.re 0.731 * [taylor]: Taking taylor expansion of x.re in x.re 0.731 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.731 * [taylor]: Taking taylor expansion of 3 in x.im 0.731 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.731 * [taylor]: Taking taylor expansion of x.im in x.im 0.731 * [taylor]: Taking taylor expansion of x.re in x.im 0.731 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 0.731 * [taylor]: Taking taylor expansion of 3 in x.im 0.731 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.731 * [taylor]: Taking taylor expansion of x.im in x.im 0.731 * [taylor]: Taking taylor expansion of x.re in x.im 0.732 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 0.732 * [taylor]: Taking taylor expansion of 3 in x.re 0.732 * [taylor]: Taking taylor expansion of x.re in x.re 0.732 * [taylor]: Taking taylor expansion of 0 in x.re 0.734 * [taylor]: Taking taylor expansion of 0 in x.re 0.735 * [taylor]: Taking taylor expansion of 0 in x.re 0.736 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.736 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.736 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.736 * [taylor]: Taking taylor expansion of 3 in x.re 0.736 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.736 * [taylor]: Taking taylor expansion of x.im in x.re 0.736 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.736 * [taylor]: Taking taylor expansion of x.re in x.re 0.736 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.736 * [taylor]: Taking taylor expansion of 3 in x.im 0.736 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.736 * [taylor]: Taking taylor expansion of x.im in x.im 0.736 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.736 * [taylor]: Taking taylor expansion of x.re in x.im 0.736 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.736 * [taylor]: Taking taylor expansion of 3 in x.im 0.736 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.736 * [taylor]: Taking taylor expansion of x.im in x.im 0.736 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.736 * [taylor]: Taking taylor expansion of x.re in x.im 0.737 * [taylor]: Taking taylor expansion of 0 in x.re 0.737 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.737 * [taylor]: Taking taylor expansion of 3 in x.re 0.737 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.737 * [taylor]: Taking taylor expansion of x.re in x.re 0.739 * [taylor]: Taking taylor expansion of 0 in x.re 0.742 * [taylor]: Taking taylor expansion of 0 in x.re 0.742 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.742 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.742 * [taylor]: Taking taylor expansion of 3 in x.re 0.742 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.742 * [taylor]: Taking taylor expansion of x.im in x.re 0.742 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.742 * [taylor]: Taking taylor expansion of x.re in x.re 0.743 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.743 * [taylor]: Taking taylor expansion of 3 in x.im 0.743 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.743 * [taylor]: Taking taylor expansion of x.im in x.im 0.743 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.743 * [taylor]: Taking taylor expansion of x.re in x.im 0.743 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.743 * [taylor]: Taking taylor expansion of 3 in x.im 0.743 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.743 * [taylor]: Taking taylor expansion of x.im in x.im 0.743 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.743 * [taylor]: Taking taylor expansion of x.re in x.im 0.744 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.744 * [taylor]: Taking taylor expansion of 3 in x.re 0.744 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.744 * [taylor]: Taking taylor expansion of x.re in x.re 0.745 * [taylor]: Taking taylor expansion of 0 in x.re 0.748 * [taylor]: Taking taylor expansion of 0 in x.re 0.750 * [taylor]: Taking taylor expansion of 0 in x.re 0.754 * [taylor]: Taking taylor expansion of 0 in x.re 0.754 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.754 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.754 * [taylor]: Taking taylor expansion of -3 in x.re 0.754 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.754 * [taylor]: Taking taylor expansion of x.im in x.re 0.754 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.754 * [taylor]: Taking taylor expansion of x.re in x.re 0.755 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.755 * [taylor]: Taking taylor expansion of -3 in x.im 0.755 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.755 * [taylor]: Taking taylor expansion of x.im in x.im 0.755 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.755 * [taylor]: Taking taylor expansion of x.re in x.im 0.755 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.755 * [taylor]: Taking taylor expansion of -3 in x.im 0.755 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.755 * [taylor]: Taking taylor expansion of x.im in x.im 0.755 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.755 * [taylor]: Taking taylor expansion of x.re in x.im 0.756 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.756 * [taylor]: Taking taylor expansion of -3 in x.re 0.756 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.756 * [taylor]: Taking taylor expansion of x.re in x.re 0.757 * [taylor]: Taking taylor expansion of 0 in x.re 0.759 * [taylor]: Taking taylor expansion of 0 in x.re 0.762 * [taylor]: Taking taylor expansion of 0 in x.re 0.766 * [taylor]: Taking taylor expansion of 0 in x.re 0.766 * * * [progress]: simplifying candidates 0.767 * [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) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.767 * [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) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) 0.770 * * [simplify]: iteration 0 : 169 enodes (cost 191 ) 0.775 * * [simplify]: iteration 1 : 855 enodes (cost 159 ) 0.800 * * [simplify]: iteration 2 : 5001 enodes (cost 159 ) 0.801 * [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 (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* (* 3 (* x.im x.re)) x.re)) (cbrt (* (* 3 (* x.im x.re)) x.re))) (cbrt (* (* 3 (* x.im x.re)) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* (* 3 (* x.im x.re)) x.re)) (sqrt (* (* 3 (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) (* (cbrt x.re) (cbrt x.re))) (* (* 3 (* x.im x.re)) (sqrt x.re)) (* 3 (* x.im x.re)) (* (* x.im x.re) x.re) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) 0.801 * * * [progress]: adding candidates to table 0.874 * * [progress]: iteration 4 / 4 0.874 * * * [progress]: picking best candidate 0.884 * * * * [pick]: Picked # 0.884 * * * [progress]: localizing error 0.892 * * * [progress]: generating rewritten candidates 0.892 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.945 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.962 * * * [progress]: generating series expansions 0.963 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.963 * [approximate]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.963 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.re 0.963 * [taylor]: Taking taylor expansion of 3 in x.re 0.963 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.963 * [taylor]: Taking taylor expansion of x.im in x.re 0.963 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.963 * [taylor]: Taking taylor expansion of x.re in x.re 0.963 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.963 * [taylor]: Taking taylor expansion of 3 in x.im 0.963 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.963 * [taylor]: Taking taylor expansion of x.im in x.im 0.963 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.963 * [taylor]: Taking taylor expansion of x.re in x.im 0.963 * [taylor]: Taking taylor expansion of (* 3 (* x.im (pow x.re 2))) in x.im 0.963 * [taylor]: Taking taylor expansion of 3 in x.im 0.963 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.963 * [taylor]: Taking taylor expansion of x.im in x.im 0.963 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.963 * [taylor]: Taking taylor expansion of x.re in x.im 0.964 * [taylor]: Taking taylor expansion of 0 in x.re 0.964 * [taylor]: Taking taylor expansion of (* 3 (pow x.re 2)) in x.re 0.964 * [taylor]: Taking taylor expansion of 3 in x.re 0.964 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.964 * [taylor]: Taking taylor expansion of x.re in x.re 0.966 * [taylor]: Taking taylor expansion of 0 in x.re 0.969 * [taylor]: Taking taylor expansion of 0 in x.re 0.969 * [approximate]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.969 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.re 0.969 * [taylor]: Taking taylor expansion of 3 in x.re 0.969 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.969 * [taylor]: Taking taylor expansion of x.im in x.re 0.969 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.969 * [taylor]: Taking taylor expansion of x.re in x.re 0.969 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.969 * [taylor]: Taking taylor expansion of 3 in x.im 0.970 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.970 * [taylor]: Taking taylor expansion of x.im in x.im 0.970 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.970 * [taylor]: Taking taylor expansion of x.re in x.im 0.970 * [taylor]: Taking taylor expansion of (/ 3 (* x.im (pow x.re 2))) in x.im 0.970 * [taylor]: Taking taylor expansion of 3 in x.im 0.970 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.970 * [taylor]: Taking taylor expansion of x.im in x.im 0.970 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.970 * [taylor]: Taking taylor expansion of x.re in x.im 0.971 * [taylor]: Taking taylor expansion of (/ 3 (pow x.re 2)) in x.re 0.971 * [taylor]: Taking taylor expansion of 3 in x.re 0.971 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.971 * [taylor]: Taking taylor expansion of x.re in x.re 0.972 * [taylor]: Taking taylor expansion of 0 in x.re 0.974 * [taylor]: Taking taylor expansion of 0 in x.re 0.977 * [taylor]: Taking taylor expansion of 0 in x.re 0.981 * [taylor]: Taking taylor expansion of 0 in x.re 0.981 * [approximate]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in (x.im x.re) around 0 0.981 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.re 0.981 * [taylor]: Taking taylor expansion of -3 in x.re 0.981 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.re 0.981 * [taylor]: Taking taylor expansion of x.im in x.re 0.981 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.981 * [taylor]: Taking taylor expansion of x.re in x.re 0.982 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.982 * [taylor]: Taking taylor expansion of -3 in x.im 0.982 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.982 * [taylor]: Taking taylor expansion of x.im in x.im 0.982 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.982 * [taylor]: Taking taylor expansion of x.re in x.im 0.982 * [taylor]: Taking taylor expansion of (/ -3 (* x.im (pow x.re 2))) in x.im 0.982 * [taylor]: Taking taylor expansion of -3 in x.im 0.982 * [taylor]: Taking taylor expansion of (* x.im (pow x.re 2)) in x.im 0.982 * [taylor]: Taking taylor expansion of x.im in x.im 0.982 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.im 0.982 * [taylor]: Taking taylor expansion of x.re in x.im 0.983 * [taylor]: Taking taylor expansion of (/ -3 (pow x.re 2)) in x.re 0.983 * [taylor]: Taking taylor expansion of -3 in x.re 0.983 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 0.983 * [taylor]: Taking taylor expansion of x.re in x.re 0.985 * [taylor]: Taking taylor expansion of 0 in x.re 0.987 * [taylor]: Taking taylor expansion of 0 in x.re 0.990 * [taylor]: Taking taylor expansion of 0 in x.re 0.993 * [taylor]: Taking taylor expansion of 0 in x.re 0.993 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.993 * [approximate]: Taking taylor expansion of (* 3 (* x.im x.re)) in (x.im x.re) around 0 0.993 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.re 0.993 * [taylor]: Taking taylor expansion of 3 in x.re 0.993 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 0.993 * [taylor]: Taking taylor expansion of x.im in x.re 0.993 * [taylor]: Taking taylor expansion of x.re in x.re 0.994 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.994 * [taylor]: Taking taylor expansion of 3 in x.im 0.994 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.994 * [taylor]: Taking taylor expansion of x.im in x.im 0.994 * [taylor]: Taking taylor expansion of x.re in x.im 0.994 * [taylor]: Taking taylor expansion of (* 3 (* x.im x.re)) in x.im 0.994 * [taylor]: Taking taylor expansion of 3 in x.im 0.994 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 0.994 * [taylor]: Taking taylor expansion of x.im in x.im 0.994 * [taylor]: Taking taylor expansion of x.re in x.im 0.994 * [taylor]: Taking taylor expansion of 0 in x.re 0.994 * [taylor]: Taking taylor expansion of (* 3 x.re) in x.re 0.995 * [taylor]: Taking taylor expansion of 3 in x.re 0.995 * [taylor]: Taking taylor expansion of x.re in x.re 0.996 * [taylor]: Taking taylor expansion of 0 in x.re 0.997 * [taylor]: Taking taylor expansion of 0 in x.re 1.000 * [taylor]: Taking taylor expansion of 0 in x.re 1.000 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 1.000 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 1.000 * [taylor]: Taking taylor expansion of 3 in x.re 1.000 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.000 * [taylor]: Taking taylor expansion of x.im in x.re 1.000 * [taylor]: Taking taylor expansion of x.re in x.re 1.000 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.000 * [taylor]: Taking taylor expansion of 3 in x.im 1.000 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.000 * [taylor]: Taking taylor expansion of x.im in x.im 1.000 * [taylor]: Taking taylor expansion of x.re in x.im 1.001 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.001 * [taylor]: Taking taylor expansion of 3 in x.im 1.001 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.001 * [taylor]: Taking taylor expansion of x.im in x.im 1.001 * [taylor]: Taking taylor expansion of x.re in x.im 1.001 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 1.001 * [taylor]: Taking taylor expansion of 3 in x.re 1.001 * [taylor]: Taking taylor expansion of x.re in x.re 1.002 * [taylor]: Taking taylor expansion of 0 in x.re 1.003 * [taylor]: Taking taylor expansion of 0 in x.re 1.005 * [taylor]: Taking taylor expansion of 0 in x.re 1.005 * [approximate]: Taking taylor expansion of (/ 3 (* x.im x.re)) in (x.im x.re) around 0 1.005 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.re 1.005 * [taylor]: Taking taylor expansion of 3 in x.re 1.005 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.re 1.005 * [taylor]: Taking taylor expansion of x.im in x.re 1.005 * [taylor]: Taking taylor expansion of x.re in x.re 1.006 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.006 * [taylor]: Taking taylor expansion of 3 in x.im 1.006 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.006 * [taylor]: Taking taylor expansion of x.im in x.im 1.006 * [taylor]: Taking taylor expansion of x.re in x.im 1.006 * [taylor]: Taking taylor expansion of (/ 3 (* x.im x.re)) in x.im 1.006 * [taylor]: Taking taylor expansion of 3 in x.im 1.006 * [taylor]: Taking taylor expansion of (* x.im x.re) in x.im 1.006 * [taylor]: Taking taylor expansion of x.im in x.im 1.006 * [taylor]: Taking taylor expansion of x.re in x.im 1.007 * [taylor]: Taking taylor expansion of (/ 3 x.re) in x.re 1.007 * [taylor]: Taking taylor expansion of 3 in x.re 1.007 * [taylor]: Taking taylor expansion of x.re in x.re 1.007 * [taylor]: Taking taylor expansion of 0 in x.re 1.009 * [taylor]: Taking taylor expansion of 0 in x.re 1.010 * [taylor]: Taking taylor expansion of 0 in x.re 1.011 * * * [progress]: simplifying candidates 1.011 * [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 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) (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) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) (* 3 (* x.im x.re)) 1.012 * [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 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) (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) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 (pow h1 2))) (* 3 (* h0 h1)) (* 3 (* h0 h1)) (* 3 (* h0 h1)) 1.015 * * [simplify]: iteration 0 : 171 enodes (cost 193 ) 1.020 * * [simplify]: iteration 1 : 994 enodes (cost 159 ) 1.047 * * [simplify]: iteration 2 : 5001 enodes (cost 159 ) 1.049 * [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 (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (pow (* 3 (* x.im (pow x.re 2))) 3) (* (cbrt (* (* (* 3 x.im) x.re) x.re)) (cbrt (* (* (* 3 x.im) x.re) x.re))) (cbrt (* (* (* 3 x.im) x.re) x.re)) (pow (* 3 (* x.im (pow x.re 2))) 3) (sqrt (* (* (* 3 x.im) x.re) x.re)) (sqrt (* (* (* 3 x.im) x.re) x.re)) (* (* (* 3 x.im) x.re) (* (cbrt x.re) (cbrt x.re))) (* (* (* 3 x.im) x.re) (sqrt x.re)) (* (* 3 x.im) x.re) (pow x.re 2) (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) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* 3 (* x.im (pow x.re 2))) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) (* (* 3 x.im) x.re) 1.049 * * * [progress]: adding candidates to table 1.121 * [progress]: [Phase 3 of 3] Extracting. 1.121 * * [regime]: Finding splitpoints for: (# # # # # #) 1.122 * * * [regime-changes]: Trying 2 branch expressions: (x.im x.re) 1.122 * * * * [regimes]: Trying to branch on x.im from (# # # # # #) 1.144 * * * * [regimes]: Trying to branch on x.re from (# # # # # #) 1.169 * * * [regime]: Found split indices: #