10.391 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (- (* x (log (/ x y))) z) 0.033 * [simplify]: Sending expressions to egg_math: (- (* h0 (log (/ h0 h1))) h2) 0.036 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.037 * * [simplify]: iteration 1 : 18 enodes (cost 4 ) 0.038 * * [simplify]: iteration 2 : 25 enodes (cost 4 ) 0.039 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.041 * * [simplify]: iteration 4 : 76 enodes (cost 4 ) 0.043 * * [simplify]: iteration 5 : 102 enodes (cost 4 ) 0.044 * * [simplify]: iteration 6 : 122 enodes (cost 4 ) 0.046 * * [simplify]: iteration 7 : 152 enodes (cost 4 ) 0.049 * * [simplify]: iteration 8 : 246 enodes (cost 4 ) 0.052 * * [simplify]: iteration 9 : 353 enodes (cost 4 ) 0.055 * * [simplify]: iteration 10 : 559 enodes (cost 4 ) 0.059 * * [simplify]: iteration 11 : 562 enodes (cost 4 ) 0.062 * * [simplify]: iteration 12 : 563 enodes (cost 4 ) 0.065 * * [simplify]: iteration 13 : 563 enodes (cost 4 ) 0.065 * [simplify]: Simplified to: (- (* x (log (/ x y))) z) 0.065 * * [progress]: iteration 1 / 4 0.065 * * * [progress]: picking best candidate 0.067 * * * * [pick]: Picked # 0.067 * * * [progress]: localizing error 0.075 * * * [progress]: generating rewritten candidates 0.075 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.078 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.093 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.113 * [approximate]: Taking taylor expansion of (log (/ x y)) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.113 * [taylor]: Taking taylor expansion of (/ x y) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.113 * [taylor]: Taking taylor expansion of (/ x y) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.114 * [taylor]: Taking taylor expansion of (/ x y) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.114 * [taylor]: Taking taylor expansion of (log x) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [approximate]: Taking taylor expansion of (log (/ y x)) in (x y) around 0 0.124 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.124 * [taylor]: Taking taylor expansion of (/ y x) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ y x) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.125 * [taylor]: Taking taylor expansion of (/ y x) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.125 * [taylor]: Taking taylor expansion of (log y) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (log x) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [approximate]: Taking taylor expansion of (log (/ y x)) in (x y) around 0 0.135 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.135 * [taylor]: Taking taylor expansion of (/ y x) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.136 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ y x) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ y x) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.136 * [taylor]: Taking taylor expansion of (log y) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (log x) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.147 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.147 * [approximate]: Taking taylor expansion of (* x (log (/ x y))) in (x y) around 0 0.147 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.147 * [taylor]: Taking taylor expansion of (/ x y) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.147 * [taylor]: Taking taylor expansion of (/ x y) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.147 * [taylor]: Taking taylor expansion of (/ x y) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.149 * [taylor]: Taking taylor expansion of (log x) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [approximate]: Taking taylor expansion of (/ (log (/ y x)) x) in (x y) around 0 0.156 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in y 0.156 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.156 * [taylor]: Taking taylor expansion of (/ y x) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.157 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.157 * [taylor]: Taking taylor expansion of (/ y x) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.158 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.158 * [taylor]: Taking taylor expansion of (/ y x) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.158 * [taylor]: Taking taylor expansion of (log y) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (log x) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [approximate]: Taking taylor expansion of (* -1 (/ (log (/ y x)) x)) in (x y) around 0 0.171 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ y x)) x)) in y 0.171 * [taylor]: Taking taylor expansion of -1 in y 0.171 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in y 0.171 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.171 * [taylor]: Taking taylor expansion of (/ y x) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ y x)) x)) in x 0.172 * [taylor]: Taking taylor expansion of -1 in x 0.172 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.172 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.172 * [taylor]: Taking taylor expansion of (/ y x) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ y x)) x)) in x 0.178 * [taylor]: Taking taylor expansion of -1 in x 0.178 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.178 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ y x) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (* -1 (- (log y) (log x))) in y 0.179 * [taylor]: Taking taylor expansion of -1 in y 0.179 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.179 * [taylor]: Taking taylor expansion of (log y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (log x) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.193 * [approximate]: Taking taylor expansion of (- (* x (log (/ x y))) z) in (x y z) around 0 0.194 * [taylor]: Taking taylor expansion of (- (* x (log (/ x y))) z) in z 0.194 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in z 0.194 * [taylor]: Taking taylor expansion of x in z 0.194 * [taylor]: Taking taylor expansion of (log (/ x y)) in z 0.194 * [taylor]: Taking taylor expansion of (/ x y) in z 0.194 * [taylor]: Taking taylor expansion of x in z 0.194 * [taylor]: Taking taylor expansion of y in z 0.194 * [taylor]: Taking taylor expansion of z in z 0.194 * [taylor]: Taking taylor expansion of (- (* x (log (/ x y))) z) in y 0.194 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.194 * [taylor]: Taking taylor expansion of (/ x y) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of z in y 0.194 * [taylor]: Taking taylor expansion of (- (* x (log (/ x y))) z) in x 0.194 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.194 * [taylor]: Taking taylor expansion of (/ x y) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of z in x 0.194 * [taylor]: Taking taylor expansion of (- (* x (log (/ x y))) z) in x 0.194 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.194 * [taylor]: Taking taylor expansion of (/ x y) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of z in x 0.195 * [taylor]: Taking taylor expansion of (- z) in y 0.195 * [taylor]: Taking taylor expansion of z in y 0.195 * [taylor]: Taking taylor expansion of (- z) in z 0.195 * [taylor]: Taking taylor expansion of z in z 0.196 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.196 * [taylor]: Taking taylor expansion of (log x) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (- (log x) (log y)) in z 0.197 * [taylor]: Taking taylor expansion of (log x) in z 0.197 * [taylor]: Taking taylor expansion of x in z 0.197 * [taylor]: Taking taylor expansion of (log y) in z 0.197 * [taylor]: Taking taylor expansion of y in z 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in z 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.203 * [taylor]: Taking taylor expansion of 0 in z 0.205 * [approximate]: Taking taylor expansion of (- (/ (log (/ y x)) x) (/ 1 z)) in (x y z) around 0 0.205 * [taylor]: Taking taylor expansion of (- (/ (log (/ y x)) x) (/ 1 z)) in z 0.205 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in z 0.205 * [taylor]: Taking taylor expansion of (log (/ y x)) in z 0.205 * [taylor]: Taking taylor expansion of (/ y x) in z 0.205 * [taylor]: Taking taylor expansion of y in z 0.205 * [taylor]: Taking taylor expansion of x in z 0.205 * [taylor]: Taking taylor expansion of x in z 0.205 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.205 * [taylor]: Taking taylor expansion of z in z 0.205 * [taylor]: Taking taylor expansion of (- (/ (log (/ y x)) x) (/ 1 z)) in y 0.205 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in y 0.205 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.205 * [taylor]: Taking taylor expansion of (/ y x) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.206 * [taylor]: Taking taylor expansion of z in y 0.206 * [taylor]: Taking taylor expansion of (- (/ (log (/ y x)) x) (/ 1 z)) in x 0.206 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.206 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ y x) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.207 * [taylor]: Taking taylor expansion of z in x 0.207 * [taylor]: Taking taylor expansion of (- (/ (log (/ y x)) x) (/ 1 z)) in x 0.207 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.207 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ y x) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.208 * [taylor]: Taking taylor expansion of z in x 0.208 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.208 * [taylor]: Taking taylor expansion of (log y) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (log x) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in z 0.208 * [taylor]: Taking taylor expansion of (log y) in z 0.208 * [taylor]: Taking taylor expansion of y in z 0.208 * [taylor]: Taking taylor expansion of (log x) in z 0.208 * [taylor]: Taking taylor expansion of x in z 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.210 * [taylor]: Taking taylor expansion of z in y 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in z 0.210 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.210 * [taylor]: Taking taylor expansion of z in z 0.212 * [taylor]: Taking taylor expansion of 0 in z 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in z 0.215 * [taylor]: Taking taylor expansion of 0 in z 0.218 * [taylor]: Taking taylor expansion of 0 in z 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in z 0.224 * [taylor]: Taking taylor expansion of 0 in z 0.225 * [taylor]: Taking taylor expansion of 0 in z 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.230 * [approximate]: Taking taylor expansion of (- (/ 1 z) (/ (log (/ y x)) x)) in (x y z) around 0 0.230 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ (log (/ y x)) x)) in z 0.230 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.230 * [taylor]: Taking taylor expansion of z in z 0.230 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in z 0.230 * [taylor]: Taking taylor expansion of (log (/ y x)) in z 0.230 * [taylor]: Taking taylor expansion of (/ y x) in z 0.230 * [taylor]: Taking taylor expansion of y in z 0.230 * [taylor]: Taking taylor expansion of x in z 0.230 * [taylor]: Taking taylor expansion of x in z 0.230 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ (log (/ y x)) x)) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.230 * [taylor]: Taking taylor expansion of z in y 0.230 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in y 0.230 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.230 * [taylor]: Taking taylor expansion of (/ y x) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ (log (/ y x)) x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.231 * [taylor]: Taking taylor expansion of z in x 0.231 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.231 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ y x) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ (log (/ y x)) x)) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.232 * [taylor]: Taking taylor expansion of z in x 0.232 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.232 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.232 * [taylor]: Taking taylor expansion of (/ y x) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (- (log x) (log y)) in y 0.233 * [taylor]: Taking taylor expansion of (log x) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (log y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (- (log x) (log y)) in z 0.233 * [taylor]: Taking taylor expansion of (log x) in z 0.233 * [taylor]: Taking taylor expansion of x in z 0.233 * [taylor]: Taking taylor expansion of (log y) in z 0.233 * [taylor]: Taking taylor expansion of y in z 0.235 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.235 * [taylor]: Taking taylor expansion of z in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.235 * [taylor]: Taking taylor expansion of z in z 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of 0 in z 0.240 * [taylor]: Taking taylor expansion of 0 in z 0.243 * [taylor]: Taking taylor expansion of 0 in z 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of 0 in z 0.249 * [taylor]: Taking taylor expansion of 0 in z 0.249 * [taylor]: Taking taylor expansion of 0 in z 0.253 * [taylor]: Taking taylor expansion of 0 in z 0.254 * * * [progress]: simplifying candidates 0.256 * [simplify]: Simplifying using # : (expm1 (log (/ x y))) (log1p (log (/ x y))) (log (* (cbrt (/ x y)) (cbrt (/ x y)))) (log (cbrt (/ x y))) (log (sqrt (/ x y))) (log (sqrt (/ x y))) (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (log (/ (cbrt x) (cbrt y))) (log (/ (* (cbrt x) (cbrt x)) (sqrt y))) (log (/ (cbrt x) (sqrt y))) (log (/ (* (cbrt x) (cbrt x)) 1)) (log (/ (cbrt x) y)) (log (/ (sqrt x) (* (cbrt y) (cbrt y)))) (log (/ (sqrt x) (cbrt y))) (log (/ (sqrt x) (sqrt y))) (log (/ (sqrt x) (sqrt y))) (log (/ (sqrt x) 1)) (log (/ (sqrt x) y)) (log (/ 1 (* (cbrt y) (cbrt y)))) (log (/ x (cbrt y))) (log (/ 1 (sqrt y))) (log (/ x (sqrt y))) (log (/ 1 1)) (log (/ x y)) (log 1) (log (/ x y)) (log x) (log (/ 1 y)) (log x) (log y) (log (/ x y)) (log (log (/ x y))) (exp (log (/ x y))) (* (cbrt (log (/ x y))) (cbrt (log (/ x y)))) (cbrt (log (/ x y))) (* (* (log (/ x y)) (log (/ x y))) (log (/ x y))) (sqrt (log (/ x y))) (sqrt (log (/ x y))) (expm1 (* x (log (/ x y)))) (log1p (* x (log (/ x y)))) (* x (log (/ x y))) (+ (log x) (log (log (/ x y)))) (log (* x (log (/ x y)))) (exp (* x (log (/ x y)))) (* (* (* x x) x) (* (* (log (/ x y)) (log (/ x y))) (log (/ x y)))) (* (cbrt (* x (log (/ x y)))) (cbrt (* x (log (/ x y))))) (cbrt (* x (log (/ x y)))) (* (* (* x (log (/ x y))) (* x (log (/ x y)))) (* x (log (/ x y)))) (sqrt (* x (log (/ x y)))) (sqrt (* x (log (/ x y)))) (* (sqrt x) (sqrt (log (/ x y)))) (* (sqrt x) (sqrt (log (/ x y)))) (* x (log (* (cbrt (/ x y)) (cbrt (/ x y))))) (* x (log (cbrt (/ x y)))) (* x (log (sqrt (/ x y)))) (* x (log (sqrt (/ x y)))) (* x (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (* x (log (/ (cbrt x) (cbrt y)))) (* x (log (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (* x (log (/ (cbrt x) (sqrt y)))) (* x (log (/ (* (cbrt x) (cbrt x)) 1))) (* x (log (/ (cbrt x) y))) (* x (log (/ (sqrt x) (* (cbrt y) (cbrt y))))) (* x (log (/ (sqrt x) (cbrt y)))) (* x (log (/ (sqrt x) (sqrt y)))) (* x (log (/ (sqrt x) (sqrt y)))) (* x (log (/ (sqrt x) 1))) (* x (log (/ (sqrt x) y))) (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))) (* x (log (/ 1 (sqrt y)))) (* x (log (/ x (sqrt y)))) (* x (log (/ 1 1))) (* x (log (/ x y))) (* x (log 1)) (* x (log (/ x y))) (* x (log x)) (* x (log (/ 1 y))) (* (log (* (cbrt (/ x y)) (cbrt (/ x y)))) x) (* (log (cbrt (/ x y))) x) (* (log (sqrt (/ x y))) x) (* (log (sqrt (/ x y))) x) (* (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) x) (* (log (/ (cbrt x) (cbrt y))) x) (* (log (/ (* (cbrt x) (cbrt x)) (sqrt y))) x) (* (log (/ (cbrt x) (sqrt y))) x) (* (log (/ (* (cbrt x) (cbrt x)) 1)) x) (* (log (/ (cbrt x) y)) x) (* (log (/ (sqrt x) (* 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(/ x y))) z)) (exp (- (* x (log (/ x y))) z)) (* (cbrt (- (* x (log (/ x y))) z)) (cbrt (- (* x (log (/ x y))) z))) (cbrt (- (* x (log (/ x y))) z)) (* (* (- (* x (log (/ x y))) z) (- (* x (log (/ x y))) z)) (- (* x (log (/ x y))) z)) (sqrt (- (* x (log (/ x y))) z)) (sqrt (- (* x (log (/ x y))) z)) (- (pow (* x (log (/ x y))) 3) (pow z 3)) (+ (* (* x (log (/ x y))) (* x (log (/ x y)))) (+ (* z z) (* (* x (log (/ x y))) z))) (- z) (- (* (* x (log (/ x y))) (* x (log (/ x y)))) (* z z)) (+ (* x (log (/ x y))) z) (- (* x (log (cbrt (/ x y)))) z) (- (* x (log (sqrt (/ x y)))) z) (- (* x (log (/ (cbrt x) (cbrt y)))) z) (- (* x (log (/ (cbrt x) (sqrt y)))) z) (- (* x (log (/ (cbrt x) y))) z) (- (* x (log (/ (sqrt x) (cbrt y)))) z) (- (* x (log (/ (sqrt x) (sqrt y)))) z) (- (* x (log (/ (sqrt x) y))) z) (- (* x (log (/ x (cbrt y)))) z) (- (* x (log (/ x (sqrt y)))) z) (- (* x (log (/ x y))) z) (- (* x (log (/ x y))) z) (- (* x (log (/ 1 y))) z) (- (* (log (cbrt (/ x y))) x) z) (- (* (log (sqrt (/ x y))) x) z) (- (* (log (/ (cbrt x) (cbrt y))) x) z) (- (* (log (/ (cbrt x) (sqrt y))) x) z) (- (* (log (/ (cbrt x) y)) x) z) (- (* (log (/ (sqrt x) (cbrt y))) x) z) (- (* (log (/ (sqrt x) (sqrt y))) x) z) (- (* (log (/ (sqrt x) y)) x) z) (- (* (log (/ x (cbrt y))) x) z) (- (* (log (/ x (sqrt y))) x) z) (- (* (log (/ x y)) x) z) (- (* (log (/ x y)) x) z) (- (* (log (/ 1 y)) x) z) (- z) (- (log x) (log y)) (- (log (/ 1 y)) (log (/ 1 x))) (- (log (/ -1 y)) (log (/ -1 x))) (* x (- (log x) (log y))) (* x (- (log (/ 1 y)) (log (/ 1 x)))) (* x (- (log (/ -1 y)) (log (/ -1 x)))) (- (* (log x) x) (+ (* x (log y)) z)) (- (* x (log (/ 1 y))) (+ z (* x (log (/ 1 x))))) (- (* x (log (/ -1 y))) (+ z (* x (log (/ -1 x))))) 0.256 * [simplify]: Sending expressions to egg_math: (expm1 (log (/ h0 h1))) (log1p (log (/ h0 h1))) (log (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1)))) (log (cbrt (/ h0 h1))) (log (sqrt (/ h0 h1))) (log (sqrt (/ h0 h1))) (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))) (log (/ (cbrt h0) (cbrt h1))) (log (/ (* (cbrt h0) (cbrt h0)) (sqrt h1))) (log (/ (cbrt h0) (sqrt h1))) (log (/ (* (cbrt h0) (cbrt h0)) 1)) (log (/ (cbrt h0) h1)) (log (/ (sqrt h0) (* (cbrt h1) (cbrt h1)))) (log (/ (sqrt h0) (cbrt h1))) (log (/ (sqrt h0) (sqrt h1))) (log (/ (sqrt h0) (sqrt h1))) (log (/ (sqrt h0) 1)) (log (/ (sqrt h0) h1)) (log (/ 1 (* (cbrt h1) (cbrt h1)))) (log (/ h0 (cbrt h1))) (log (/ 1 (sqrt h1))) (log (/ h0 (sqrt h1))) (log (/ 1 1)) (log (/ h0 h1)) (log 1) (log (/ h0 h1)) (log h0) (log (/ 1 h1)) (log h0) (log h1) (log (/ h0 h1)) (log (log (/ h0 h1))) (exp (log (/ h0 h1))) (* (cbrt (log (/ h0 h1))) (cbrt (log (/ h0 h1)))) (cbrt (log (/ h0 h1))) (* (* (log (/ h0 h1)) (log (/ h0 h1))) (log (/ h0 h1))) (sqrt (log (/ h0 h1))) (sqrt (log (/ h0 h1))) (expm1 (* h0 (log (/ h0 h1)))) (log1p (* h0 (log (/ h0 h1)))) (* h0 (log (/ h0 h1))) (+ (log h0) (log (log (/ h0 h1)))) (log (* h0 (log (/ h0 h1)))) (exp (* h0 (log (/ h0 h1)))) (* (* (* h0 h0) h0) (* (* (log (/ h0 h1)) (log (/ h0 h1))) (log (/ h0 h1)))) (* (cbrt (* h0 (log (/ h0 h1)))) (cbrt (* h0 (log (/ h0 h1))))) (cbrt (* h0 (log (/ h0 h1)))) (* (* (* h0 (log (/ h0 h1))) (* h0 (log (/ h0 h1)))) (* h0 (log (/ h0 h1)))) (sqrt (* h0 (log (/ h0 h1)))) (sqrt (* h0 (log (/ h0 h1)))) (* (sqrt h0) (sqrt (log (/ h0 h1)))) (* (sqrt h0) (sqrt (log (/ h0 h1)))) (* h0 (log (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1))))) (* h0 (log (cbrt (/ h0 h1)))) (* h0 (log (sqrt (/ h0 h1)))) (* h0 (log (sqrt (/ h0 h1)))) (* h0 (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (* h0 (log (/ (cbrt h0) (cbrt h1)))) (* h0 (log (/ (* (cbrt h0) (cbrt h0)) (sqrt h1)))) (* h0 (log (/ (cbrt h0) (sqrt h1)))) (* h0 (log (/ (* (cbrt h0) (cbrt h0)) 1))) (* h0 (log (/ (cbrt h0) h1))) (* h0 (log (/ (sqrt h0) (* (cbrt h1) (cbrt h1))))) (* h0 (log (/ (sqrt h0) (cbrt h1)))) (* h0 (log (/ (sqrt h0) (sqrt h1)))) (* h0 (log (/ (sqrt h0) (sqrt h1)))) (* h0 (log (/ (sqrt h0) 1))) (* h0 (log (/ (sqrt h0) h1))) (* h0 (log (/ 1 (* (cbrt h1) (cbrt 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h1))) h2)) (sqrt (- (* h0 (log (/ h0 h1))) h2)) (sqrt (- (* h0 (log (/ h0 h1))) h2)) (- (pow (* h0 (log (/ h0 h1))) 3) (pow h2 3)) (+ (* (* h0 (log (/ h0 h1))) (* h0 (log (/ h0 h1)))) (+ (* h2 h2) (* (* h0 (log (/ h0 h1))) h2))) (- h2) (- (* (* h0 (log (/ h0 h1))) (* h0 (log (/ h0 h1)))) (* h2 h2)) (+ (* h0 (log (/ h0 h1))) h2) (- (* h0 (log (cbrt (/ h0 h1)))) h2) (- (* h0 (log (sqrt (/ h0 h1)))) h2) (- (* h0 (log (/ (cbrt h0) (cbrt h1)))) h2) (- (* h0 (log (/ (cbrt h0) (sqrt h1)))) h2) (- (* h0 (log (/ (cbrt h0) h1))) h2) (- (* h0 (log (/ (sqrt h0) (cbrt h1)))) h2) (- (* h0 (log (/ (sqrt h0) (sqrt h1)))) h2) (- (* h0 (log (/ (sqrt h0) h1))) h2) (- (* h0 (log (/ h0 (cbrt h1)))) h2) (- (* h0 (log (/ h0 (sqrt h1)))) h2) (- (* h0 (log (/ h0 h1))) h2) (- (* h0 (log (/ h0 h1))) h2) (- (* h0 (log (/ 1 h1))) h2) (- (* (log (cbrt (/ h0 h1))) h0) h2) (- (* (log (sqrt (/ h0 h1))) h0) h2) (- (* (log (/ (cbrt h0) (cbrt h1))) h0) h2) (- (* (log (/ (cbrt h0) (sqrt h1))) h0) h2) (- (* (log (/ (cbrt h0) h1)) h0) h2) (- (* (log (/ (sqrt h0) (cbrt h1))) h0) h2) (- (* (log (/ (sqrt h0) (sqrt h1))) h0) h2) (- (* (log (/ (sqrt h0) h1)) h0) h2) (- (* (log (/ h0 (cbrt h1))) h0) h2) (- (* (log (/ h0 (sqrt h1))) h0) h2) (- (* (log (/ h0 h1)) h0) h2) (- (* (log (/ h0 h1)) h0) h2) (- (* (log (/ 1 h1)) h0) h2) (- h2) (- (log h0) (log h1)) (- (log (/ 1 h1)) (log (/ 1 h0))) (- (log (/ -1 h1)) (log (/ -1 h0))) (* h0 (- (log h0) (log h1))) (* h0 (- (log (/ 1 h1)) (log (/ 1 h0)))) (* h0 (- (log (/ -1 h1)) (log (/ -1 h0)))) (- (* (log h0) h0) (+ (* h0 (log h1)) h2)) (- (* h0 (log (/ 1 h1))) (+ h2 (* h0 (log (/ 1 h0))))) (- (* h0 (log (/ -1 h1))) (+ h2 (* h0 (log (/ -1 h0))))) 0.262 * * [simplify]: iteration 0 : 413 enodes (cost 767 ) 0.269 * * [simplify]: iteration 1 : 1429 enodes (cost 702 ) 0.297 * * [simplify]: iteration 2 : 5001 enodes (cost 683 ) 0.306 * [simplify]: Simplified to: (expm1 (log (/ x y))) (log1p (log (/ x y))) (* 2 (log (cbrt (/ x y)))) (log (cbrt (/ x y))) (log (sqrt (/ x y))) 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(log (/ x y))) z)) (* (cbrt (- (* x (log (/ x y))) z)) (cbrt (- (* x (log (/ x y))) z))) (cbrt (- (* x (log (/ x y))) z)) (pow (- (* (log (/ x y)) x) z) 3) (sqrt (- (* x (log (/ x y))) z)) (sqrt (- (* x (log (/ x y))) z)) (- (pow (* x (log (/ x y))) 3) (pow z 3)) (+ (* z z) (* (* (log (/ x y)) x) (fma x (log (/ x y)) z))) (- z) (* (fma x (log (/ x y)) z) (- (* x (log (/ x y))) z)) (fma x (log (/ x y)) z) (- (* (log (cbrt (/ x y))) x) z) (- (* (log (sqrt (/ x y))) x) z) (- (* (log (/ (cbrt x) (cbrt y))) x) z) (- (* (log (/ (cbrt x) (sqrt y))) x) z) (- (* (log (/ (cbrt x) y)) x) z) (- (* (log (/ (sqrt x) (cbrt y))) x) z) (- (* (log (/ (sqrt x) (sqrt y))) x) z) (- (* (log (/ (sqrt x) y)) x) z) (- (* (log (/ x (cbrt y))) x) z) (- (* (log (/ x (sqrt y))) x) z) (- (* (log (/ x y)) x) z) (- (* (log (/ x y)) x) z) (- (fma x (log y) z)) (- (* (log (cbrt (/ x y))) x) z) (- (* (log (sqrt (/ x y))) x) z) (- (* (log (/ (cbrt x) (cbrt y))) x) z) (- (* (log (/ (cbrt x) (sqrt y))) x) z) (- (* (log (/ (cbrt x) y)) x) z) (- (* (log (/ (sqrt x) (cbrt y))) x) z) (- (* (log (/ (sqrt x) (sqrt y))) x) z) (- (* (log (/ (sqrt x) y)) x) z) (- (* (log (/ x (cbrt y))) x) z) (- (* (log (/ x (sqrt y))) x) z) (- (* (log (/ x y)) x) z) (- (* (log (/ x y)) x) z) (- (fma x (log y) z)) (- z) (log (/ x y)) (log (/ x y)) (- (log (/ -1 y)) (log (/ -1 x))) (* (log (/ x y)) x) (* (log (/ x y)) x) (* x (- (log (/ -1 y)) (log (/ -1 x)))) (- (* (log (/ x y)) x) z) (- (* (log (/ x y)) x) z) (- (* x (- (log (/ -1 y)) (log (/ -1 x)))) z) 0.307 * * * [progress]: adding candidates to table 0.579 * * [progress]: iteration 2 / 4 0.579 * * * [progress]: picking best candidate 0.601 * * * * [pick]: Picked # 0.601 * * * [progress]: localizing error 0.617 * * * [progress]: generating rewritten candidates 0.617 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 2) 0.618 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 2 1 2) 0.618 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1 1) 0.619 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 1 1) 0.621 * * * [progress]: generating series expansions 0.621 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 2) 0.621 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.621 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.621 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.621 * [taylor]: Taking taylor expansion of 1/3 in y 0.621 * [taylor]: Taking taylor expansion of (log y) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.622 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.622 * [taylor]: Taking taylor expansion of 1/3 in y 0.622 * [taylor]: Taking taylor expansion of (log y) in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.674 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.674 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.674 * [taylor]: Taking taylor expansion of 1/3 in y 0.674 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.675 * [taylor]: Taking taylor expansion of 1/3 in y 0.675 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.675 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.725 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.725 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.725 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.725 * [taylor]: Taking taylor expansion of -1 in y 0.725 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.725 * [taylor]: Taking taylor expansion of 1/3 in y 0.725 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.726 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.726 * [taylor]: Taking taylor expansion of -1 in y 0.727 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.727 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.727 * [taylor]: Taking taylor expansion of 1/3 in y 0.727 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.792 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 2 1 2) 0.792 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.792 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.792 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.792 * [taylor]: Taking taylor expansion of 1/3 in y 0.792 * [taylor]: Taking taylor expansion of (log y) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.792 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.792 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.792 * [taylor]: Taking taylor expansion of 1/3 in y 0.792 * [taylor]: Taking taylor expansion of (log y) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.845 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.845 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.845 * [taylor]: Taking taylor expansion of 1/3 in y 0.845 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.845 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.846 * [taylor]: Taking taylor expansion of 1/3 in y 0.846 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.902 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.902 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.902 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.902 * [taylor]: Taking taylor expansion of -1 in y 0.903 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.903 * [taylor]: Taking taylor expansion of 1/3 in y 0.903 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.904 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.904 * [taylor]: Taking taylor expansion of -1 in y 0.905 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.905 * [taylor]: Taking taylor expansion of 1/3 in y 0.905 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.971 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1 1) 0.971 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.971 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.971 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.971 * [taylor]: Taking taylor expansion of 1/3 in x 0.971 * [taylor]: Taking taylor expansion of (log x) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.972 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.972 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.972 * [taylor]: Taking taylor expansion of 1/3 in x 0.972 * [taylor]: Taking taylor expansion of (log x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 1.019 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.019 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.019 * [taylor]: Taking taylor expansion of 1/3 in x 1.019 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.020 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.020 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.020 * [taylor]: Taking taylor expansion of 1/3 in x 1.020 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.076 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.076 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.076 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.076 * [taylor]: Taking taylor expansion of -1 in x 1.077 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.077 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.077 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.077 * [taylor]: Taking taylor expansion of 1/3 in x 1.077 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.078 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.078 * [taylor]: Taking taylor expansion of -1 in x 1.078 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.079 * [taylor]: Taking taylor expansion of 1/3 in x 1.079 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.144 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 1 1) 1.144 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.146 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.146 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.146 * [taylor]: Taking taylor expansion of 1/3 in x 1.146 * [taylor]: Taking taylor expansion of (log x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.146 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.146 * [taylor]: Taking taylor expansion of 1/3 in x 1.146 * [taylor]: Taking taylor expansion of (log x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.193 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.193 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.193 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.193 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.193 * [taylor]: Taking taylor expansion of 1/3 in x 1.193 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.194 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.194 * [taylor]: Taking taylor expansion of 1/3 in x 1.194 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.252 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.252 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.252 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.252 * [taylor]: Taking taylor expansion of -1 in x 1.253 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.253 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.253 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.253 * [taylor]: Taking taylor expansion of 1/3 in x 1.253 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.254 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.254 * [taylor]: Taking taylor expansion of -1 in x 1.255 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.255 * [taylor]: Taking taylor expansion of 1/3 in x 1.255 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.324 * * * [progress]: simplifying candidates 1.325 * [simplify]: Simplifying using # : (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.325 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h1)) (log1p (cbrt h1)) (log (cbrt h1)) (exp (cbrt h1)) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (cbrt h1)) (cbrt (sqrt h1)) (cbrt (sqrt h1)) (cbrt 1) (cbrt h1) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (expm1 (cbrt h1)) (log1p (cbrt h1)) (log (cbrt h1)) (exp (cbrt h1)) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (cbrt h1)) (cbrt (sqrt h1)) (cbrt (sqrt h1)) (cbrt 1) (cbrt h1) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) 1.328 * * [simplify]: iteration 0 : 73 enodes (cost 172 ) 1.330 * * [simplify]: iteration 1 : 149 enodes (cost 160 ) 1.333 * * [simplify]: iteration 2 : 350 enodes (cost 152 ) 1.340 * * [simplify]: iteration 3 : 1283 enodes (cost 152 ) 1.375 * * [simplify]: iteration 4 : 5001 enodes (cost 152 ) 1.376 * [simplify]: Simplified to: (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.376 * * * [progress]: adding candidates to table 1.637 * * [progress]: iteration 3 / 4 1.637 * * * [progress]: picking best candidate 1.657 * * * * [pick]: Picked # 1.658 * * * [progress]: localizing error 1.671 * * * [progress]: generating rewritten candidates 1.671 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 2) 1.672 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 2) 1.673 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1 1) 1.674 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1 1) 1.676 * * * [progress]: generating series expansions 1.676 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 2) 1.676 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.676 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.676 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.676 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.676 * [taylor]: Taking taylor expansion of 1/3 in y 1.676 * [taylor]: Taking taylor expansion of (log y) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.677 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.677 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.677 * [taylor]: Taking taylor expansion of 1/3 in y 1.677 * [taylor]: Taking taylor expansion of (log y) in y 1.677 * [taylor]: Taking taylor expansion of y in y 1.725 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.725 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.725 * [taylor]: Taking taylor expansion of 1/3 in y 1.725 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.725 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.725 * [taylor]: Taking taylor expansion of y in y 1.731 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.731 * [taylor]: Taking taylor expansion of 1/3 in y 1.731 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.731 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.731 * [taylor]: Taking taylor expansion of y in y 1.783 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.783 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.783 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.783 * [taylor]: Taking taylor expansion of -1 in y 1.784 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.784 * [taylor]: Taking taylor expansion of 1/3 in y 1.784 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.784 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.784 * [taylor]: Taking taylor expansion of y in y 1.785 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.785 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.785 * [taylor]: Taking taylor expansion of -1 in y 1.786 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.786 * [taylor]: Taking taylor expansion of 1/3 in y 1.786 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.786 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.786 * [taylor]: Taking taylor expansion of y in y 1.852 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 2) 1.852 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.852 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.852 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.852 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.852 * [taylor]: Taking taylor expansion of 1/3 in y 1.852 * [taylor]: Taking taylor expansion of (log y) in y 1.852 * [taylor]: Taking taylor expansion of y in y 1.853 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.853 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.853 * [taylor]: Taking taylor expansion of 1/3 in y 1.853 * [taylor]: Taking taylor expansion of (log y) in y 1.853 * [taylor]: Taking taylor expansion of y in y 1.905 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.905 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.905 * [taylor]: Taking taylor expansion of 1/3 in y 1.905 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.905 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.905 * [taylor]: Taking taylor expansion of y in y 1.906 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.906 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.906 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.906 * [taylor]: Taking taylor expansion of 1/3 in y 1.906 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.906 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.906 * [taylor]: Taking taylor expansion of y in y 1.956 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.956 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.956 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.956 * [taylor]: Taking taylor expansion of -1 in y 1.957 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.957 * [taylor]: Taking taylor expansion of 1/3 in y 1.957 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.957 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.957 * [taylor]: Taking taylor expansion of y in y 1.958 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.958 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.958 * [taylor]: Taking taylor expansion of -1 in y 1.959 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.959 * [taylor]: Taking taylor expansion of 1/3 in y 1.959 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.959 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.959 * [taylor]: Taking taylor expansion of y in y 2.027 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1 1) 2.027 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.027 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.027 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.028 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.028 * [taylor]: Taking taylor expansion of 1/3 in x 2.028 * [taylor]: Taking taylor expansion of (log x) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.028 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.028 * [taylor]: Taking taylor expansion of 1/3 in x 2.028 * [taylor]: Taking taylor expansion of (log x) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.081 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.081 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.081 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.081 * [taylor]: Taking taylor expansion of 1/3 in x 2.081 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.082 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.082 * [taylor]: Taking taylor expansion of 1/3 in x 2.082 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.082 * [taylor]: Taking taylor expansion of x in x 2.138 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.138 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.138 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.138 * [taylor]: Taking taylor expansion of -1 in x 2.138 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.138 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.139 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.139 * [taylor]: Taking taylor expansion of 1/3 in x 2.139 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.139 * [taylor]: Taking taylor expansion of x in x 2.139 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.139 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.139 * [taylor]: Taking taylor expansion of -1 in x 2.140 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.140 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.140 * [taylor]: Taking taylor expansion of 1/3 in x 2.140 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.140 * [taylor]: Taking taylor expansion of x in x 2.200 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1 1) 2.201 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.201 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.201 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.201 * [taylor]: Taking taylor expansion of 1/3 in x 2.201 * [taylor]: Taking taylor expansion of (log x) in x 2.201 * [taylor]: Taking taylor expansion of x in x 2.201 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.201 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.201 * [taylor]: Taking taylor expansion of 1/3 in x 2.201 * [taylor]: Taking taylor expansion of (log x) in x 2.201 * [taylor]: Taking taylor expansion of x in x 2.453 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.453 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.453 * [taylor]: Taking taylor expansion of 1/3 in x 2.453 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.454 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.454 * [taylor]: Taking taylor expansion of 1/3 in x 2.454 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.508 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.508 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.508 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.508 * [taylor]: Taking taylor expansion of -1 in x 2.509 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.509 * [taylor]: Taking taylor expansion of 1/3 in x 2.509 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.509 * [taylor]: Taking taylor expansion of x in x 2.510 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.510 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.510 * [taylor]: Taking taylor expansion of -1 in x 2.511 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.511 * [taylor]: Taking taylor expansion of 1/3 in x 2.511 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.575 * * * [progress]: simplifying candidates 2.576 * [simplify]: Simplifying using # : (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.576 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h1)) (log1p (cbrt h1)) (log (cbrt h1)) (exp (cbrt h1)) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (cbrt h1)) (cbrt (sqrt h1)) (cbrt (sqrt h1)) (cbrt 1) (cbrt h1) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (expm1 (cbrt h1)) (log1p (cbrt h1)) (log (cbrt h1)) (exp (cbrt h1)) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (cbrt h1)) (cbrt (sqrt h1)) (cbrt (sqrt h1)) (cbrt 1) (cbrt h1) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) 2.580 * * [simplify]: iteration 0 : 73 enodes (cost 172 ) 2.582 * * [simplify]: iteration 1 : 149 enodes (cost 160 ) 2.585 * * [simplify]: iteration 2 : 350 enodes (cost 152 ) 2.593 * * [simplify]: iteration 3 : 1283 enodes (cost 152 ) 2.629 * * [simplify]: iteration 4 : 5001 enodes (cost 152 ) 2.630 * [simplify]: Simplified to: (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.631 * * * [progress]: adding candidates to table 2.875 * * [progress]: iteration 4 / 4 2.875 * * * [progress]: picking best candidate 2.889 * * * * [pick]: Picked # 2.889 * * * [progress]: localizing error 2.908 * * * [progress]: generating rewritten candidates 2.908 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.922 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 2.923 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 2) 2.924 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1) 2.926 * * * [progress]: generating series expansions 2.926 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.926 * [approximate]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow y 2)) 1/3)) in (x y) around 0 2.926 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow y 2)) 1/3)) in y 2.926 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in y 2.926 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in y 2.926 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in y 2.926 * [taylor]: Taking taylor expansion of 1/3 in y 2.926 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in y 2.926 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 2.926 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.926 * [taylor]: Taking taylor expansion of x in y 2.926 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.926 * [taylor]: Taking taylor expansion of y in y 2.927 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow y 2)) 1/3)) in x 2.927 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 2.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 2.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 2.928 * [taylor]: Taking taylor expansion of 1/3 in x 2.928 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 2.928 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 2.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.928 * [taylor]: Taking taylor expansion of x in x 2.928 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.928 * [taylor]: Taking taylor expansion of y in x 2.929 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow y 2)) 1/3)) in x 2.929 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 2.929 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 2.929 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 2.929 * [taylor]: Taking taylor expansion of 1/3 in x 2.929 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 2.929 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 2.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.929 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.929 * [taylor]: Taking taylor expansion of y in x 2.930 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 2.930 * [taylor]: Taking taylor expansion of 1/3 in y 2.930 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 2.930 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 2.930 * [taylor]: Taking taylor expansion of 2 in y 2.930 * [taylor]: Taking taylor expansion of (log x) in y 2.930 * [taylor]: Taking taylor expansion of x in y 2.930 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 2.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.930 * [taylor]: Taking taylor expansion of y in y 2.935 * [taylor]: Taking taylor expansion of 0 in y 2.942 * [taylor]: Taking taylor expansion of 0 in y 2.954 * [taylor]: Taking taylor expansion of 0 in y 2.954 * [approximate]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in (x y) around 0 2.954 * [taylor]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in y 2.954 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 2.954 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 2.954 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 2.954 * [taylor]: Taking taylor expansion of 1/3 in y 2.954 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 2.954 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 2.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.954 * [taylor]: Taking taylor expansion of y in y 2.954 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.954 * [taylor]: Taking taylor expansion of x in y 2.956 * [taylor]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in x 2.956 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 2.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 2.956 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 2.956 * [taylor]: Taking taylor expansion of 1/3 in x 2.956 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 2.956 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 2.956 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.956 * [taylor]: Taking taylor expansion of y in x 2.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.956 * [taylor]: Taking taylor expansion of x in x 2.957 * [taylor]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in x 2.957 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 2.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 2.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 2.957 * [taylor]: Taking taylor expansion of 1/3 in x 2.957 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 2.957 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 2.957 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.957 * [taylor]: Taking taylor expansion of y in x 2.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.957 * [taylor]: Taking taylor expansion of x in x 2.958 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 2.958 * [taylor]: Taking taylor expansion of 1/3 in y 2.958 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 2.958 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 2.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.958 * [taylor]: Taking taylor expansion of y in y 2.959 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 2.959 * [taylor]: Taking taylor expansion of 2 in y 2.959 * [taylor]: Taking taylor expansion of (log x) in y 2.959 * [taylor]: Taking taylor expansion of x in y 2.963 * [taylor]: Taking taylor expansion of 0 in y 2.971 * [taylor]: Taking taylor expansion of 0 in y 2.982 * [taylor]: Taking taylor expansion of 0 in y 2.983 * [approximate]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in (x y) around 0 2.983 * [taylor]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in y 2.983 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 2.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 2.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 2.983 * [taylor]: Taking taylor expansion of 1/3 in y 2.983 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 2.983 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 2.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.983 * [taylor]: Taking taylor expansion of y in y 2.983 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.983 * [taylor]: Taking taylor expansion of x in y 2.984 * [taylor]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in x 2.984 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 2.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 2.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 2.984 * [taylor]: Taking taylor expansion of 1/3 in x 2.984 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 2.984 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 2.984 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.984 * [taylor]: Taking taylor expansion of y in x 2.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.984 * [taylor]: Taking taylor expansion of x in x 2.985 * [taylor]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in x 2.985 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 2.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 2.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 2.985 * [taylor]: Taking taylor expansion of 1/3 in x 2.986 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 2.986 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 2.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.986 * [taylor]: Taking taylor expansion of y in x 2.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.987 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 2.987 * [taylor]: Taking taylor expansion of 1/3 in y 2.987 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 2.987 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 2.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.987 * [taylor]: Taking taylor expansion of y in y 2.987 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 2.987 * [taylor]: Taking taylor expansion of 2 in y 2.987 * [taylor]: Taking taylor expansion of (log x) in y 2.987 * [taylor]: Taking taylor expansion of x in y 2.991 * [taylor]: Taking taylor expansion of 0 in y 2.999 * [taylor]: Taking taylor expansion of 0 in y 3.016 * [taylor]: Taking taylor expansion of 0 in y 3.016 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 3.016 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 3.016 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.016 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.016 * [taylor]: Taking taylor expansion of 1/3 in y 3.016 * [taylor]: Taking taylor expansion of (log y) in y 3.016 * [taylor]: Taking taylor expansion of y in y 3.016 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.016 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.017 * [taylor]: Taking taylor expansion of 1/3 in y 3.017 * [taylor]: Taking taylor expansion of (log y) in y 3.017 * [taylor]: Taking taylor expansion of y in y 3.063 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 3.063 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.063 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.063 * [taylor]: Taking taylor expansion of 1/3 in y 3.063 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.063 * [taylor]: Taking taylor expansion of y in y 3.064 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.064 * [taylor]: Taking taylor expansion of 1/3 in y 3.064 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.064 * [taylor]: Taking taylor expansion of y in y 3.118 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 3.119 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 3.119 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.119 * [taylor]: Taking taylor expansion of -1 in y 3.119 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.119 * [taylor]: Taking taylor expansion of 1/3 in y 3.119 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.119 * [taylor]: Taking taylor expansion of y in y 3.120 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 3.120 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.120 * [taylor]: Taking taylor expansion of -1 in y 3.121 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.121 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.121 * [taylor]: Taking taylor expansion of 1/3 in y 3.121 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.121 * [taylor]: Taking taylor expansion of y in y 3.187 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 2) 3.187 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 3.187 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.187 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.187 * [taylor]: Taking taylor expansion of 1/3 in y 3.187 * [taylor]: Taking taylor expansion of (log y) in y 3.187 * [taylor]: Taking taylor expansion of y in y 3.187 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.188 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.188 * [taylor]: Taking taylor expansion of 1/3 in y 3.188 * [taylor]: Taking taylor expansion of (log y) in y 3.188 * [taylor]: Taking taylor expansion of y in y 3.239 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 3.239 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.239 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.239 * [taylor]: Taking taylor expansion of 1/3 in y 3.239 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.239 * [taylor]: Taking taylor expansion of y in y 3.240 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.240 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.240 * [taylor]: Taking taylor expansion of 1/3 in y 3.240 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.240 * [taylor]: Taking taylor expansion of y in y 3.290 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 3.290 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 3.290 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.290 * [taylor]: Taking taylor expansion of -1 in y 3.290 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.291 * [taylor]: Taking taylor expansion of 1/3 in y 3.291 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.291 * [taylor]: Taking taylor expansion of y in y 3.291 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 3.291 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.291 * [taylor]: Taking taylor expansion of -1 in y 3.292 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.292 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.292 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.292 * [taylor]: Taking taylor expansion of 1/3 in y 3.292 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.292 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.292 * [taylor]: Taking taylor expansion of y in y 3.358 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1) 3.358 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 3.358 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.358 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.358 * [taylor]: Taking taylor expansion of 1/3 in y 3.358 * [taylor]: Taking taylor expansion of (log y) in y 3.358 * [taylor]: Taking taylor expansion of y in y 3.359 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.359 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.359 * [taylor]: Taking taylor expansion of 1/3 in y 3.359 * [taylor]: Taking taylor expansion of (log y) in y 3.359 * [taylor]: Taking taylor expansion of y in y 3.412 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 3.412 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.412 * [taylor]: Taking taylor expansion of 1/3 in y 3.412 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.412 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.412 * [taylor]: Taking taylor expansion of y in y 3.413 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.413 * [taylor]: Taking taylor expansion of 1/3 in y 3.413 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.413 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.413 * [taylor]: Taking taylor expansion of y in y 3.469 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 3.469 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 3.469 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.469 * [taylor]: Taking taylor expansion of -1 in y 3.470 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.470 * [taylor]: Taking taylor expansion of 1/3 in y 3.470 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.470 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.470 * [taylor]: Taking taylor expansion of y in y 3.471 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 3.471 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.471 * [taylor]: Taking taylor expansion of -1 in y 3.471 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.472 * [taylor]: Taking taylor expansion of 1/3 in y 3.472 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.472 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.472 * [taylor]: Taking taylor expansion of y in y 3.532 * * * [progress]: simplifying candidates 3.533 * [simplify]: Simplifying using # : (expm1 (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (log1p (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (log (* (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))))) (log (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (log (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (log (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (log (/ (cbrt x) (cbrt y))) (log (/ (cbrt x) (cbrt y))) (log 1) (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (log (* (cbrt x) (cbrt x))) (log (/ 1 (* (cbrt y) (cbrt y)))) (log (* (cbrt x) (cbrt x))) (log (* (cbrt y) (cbrt y))) (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (log (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (exp (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (* (cbrt (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (cbrt (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))))) (cbrt (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (* (* (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (sqrt (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (sqrt (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (* 1/3 (- (* 2 (log x)) (* 2 (log y)))) (* 1/3 (- (* 2 (log (/ 1 y))) (* 2 (log (/ 1 x))))) (* 1/3 (- (* 2 (log (/ -1 y))) (* 2 (log (/ -1 x))))) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 3.533 * [simplify]: Sending expressions to egg_math: (expm1 (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (log1p (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (log (* (cbrt (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))) (cbrt (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))))) (log (cbrt (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (log (sqrt (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (log (sqrt (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (log (/ (cbrt h0) (cbrt h1))) (log (/ (cbrt h0) (cbrt h1))) (log 1) (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))) (log (* (cbrt h0) (cbrt h0))) (log (/ 1 (* (cbrt h1) (cbrt h1)))) (log (* (cbrt h0) (cbrt h0))) (log (* (cbrt h1) (cbrt h1))) (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))) (log (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (exp (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (* (cbrt (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (cbrt (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))))) (cbrt (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (* (* (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))) (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (sqrt (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (sqrt (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))))) (expm1 (cbrt h1)) (log1p (cbrt h1)) (log (cbrt h1)) (exp (cbrt h1)) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (cbrt h1)) (cbrt (sqrt h1)) (cbrt (sqrt h1)) (cbrt 1) (cbrt h1) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (expm1 (cbrt h1)) (log1p (cbrt h1)) (log (cbrt h1)) (exp (cbrt h1)) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (cbrt h1)) (cbrt (sqrt h1)) (cbrt (sqrt h1)) (cbrt 1) (cbrt h1) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (expm1 (cbrt h1)) (log1p (cbrt h1)) (log (cbrt h1)) (exp (cbrt h1)) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (cbrt h1)) (cbrt (sqrt h1)) (cbrt (sqrt h1)) (cbrt 1) (cbrt h1) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (* 1/3 (- (* 2 (log h0)) (* 2 (log h1)))) (* 1/3 (- (* 2 (log (/ 1 h1))) (* 2 (log (/ 1 h0))))) (* 1/3 (- (* 2 (log (/ -1 h1))) (* 2 (log (/ -1 h0))))) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) 3.537 * * [simplify]: iteration 0 : 137 enodes (cost 341 ) 3.539 * * [simplify]: iteration 1 : 299 enodes (cost 298 ) 3.545 * * [simplify]: iteration 2 : 949 enodes (cost 281 ) 3.562 * * [simplify]: iteration 3 : 4282 enodes (cost 276 ) 3.635 * * [simplify]: iteration 4 : 5001 enodes (cost 276 ) 3.637 * [simplify]: Simplified to: (expm1 (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (log1p (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (* 2 (log (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))))) (log (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (log (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (log (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (log (/ (cbrt x) (cbrt y))) (log (/ (cbrt x) (cbrt y))) 0 (* 2 (log (/ (cbrt x) (cbrt y)))) (* 2 (log (cbrt x))) (- 0 (* 2/3 (log y))) (* 2 (log (cbrt x))) (* 2/3 (log y)) (* 2 (log (/ (cbrt x) (cbrt y)))) (+ (log 2) (log (log (/ (cbrt x) (cbrt y))))) (* (/ (cbrt x) (pow y 2/3)) (cbrt x)) (* (cbrt (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (cbrt (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))))) (cbrt (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (* 8 (pow (log (/ (cbrt x) (cbrt y))) 3)) (sqrt (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (sqrt (log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (* 2/3 (- (log x) (log y))) (* 2/3 (- (log x) (log y))) (* 2/3 (- (log (/ -1 y)) (log (/ -1 x)))) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 3.637 * * * [progress]: adding candidates to table 3.901 * [progress]: [Phase 3 of 3] Extracting. 3.901 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.903 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 3.903 * * * * [regimes]: Trying to branch on z from (# # # # # # # #) 3.937 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 3.971 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 4.005 * * * [regime]: Found split indices: #