6.062 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (- (* x (log (/ x y))) z) 0.031 * [simplify]: Sending expressions to egg_math: (- (* h0 (log (/ h0 h1))) h2) 0.035 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.038 * * [simplify]: iteration 1 : 18 enodes (cost 4 ) 0.040 * * [simplify]: iteration 2 : 25 enodes (cost 4 ) 0.043 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.046 * * [simplify]: iteration 4 : 76 enodes (cost 4 ) 0.050 * * [simplify]: iteration 5 : 102 enodes (cost 4 ) 0.053 * * [simplify]: iteration 6 : 122 enodes (cost 4 ) 0.057 * * [simplify]: iteration 7 : 152 enodes (cost 4 ) 0.061 * * [simplify]: iteration 8 : 246 enodes (cost 4 ) 0.066 * * [simplify]: iteration 9 : 353 enodes (cost 4 ) 0.072 * * [simplify]: iteration 10 : 559 enodes (cost 4 ) 0.076 * * [simplify]: iteration 11 : 562 enodes (cost 4 ) 0.081 * * [simplify]: iteration 12 : 563 enodes (cost 4 ) 0.085 * * [simplify]: iteration 13 : 563 enodes (cost 4 ) 0.086 * [simplify]: Simplified to: (- (* x (log (/ x y))) z) 0.086 * * [progress]: iteration 1 / 4 0.086 * * * [progress]: picking best candidate 0.088 * * * * [pick]: Picked # 0.089 * * * [progress]: localizing error 0.096 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.099 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.112 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.136 * * * [progress]: generating series expansions 0.136 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.136 * [approximate]: Taking taylor expansion of (log (/ x y)) in (x y) around 0 0.136 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.136 * [taylor]: Taking taylor expansion of (/ x y) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.136 * [taylor]: Taking taylor expansion of (/ x y) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.137 * [taylor]: Taking taylor expansion of (/ x y) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.138 * [taylor]: Taking taylor expansion of (log x) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [approximate]: Taking taylor expansion of (log (/ y x)) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.149 * [taylor]: Taking taylor expansion of (/ y x) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ y x) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ y x) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.150 * [taylor]: Taking taylor expansion of (log y) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (log x) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [approximate]: Taking taylor expansion of (log (/ y x)) in (x y) around 0 0.161 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.161 * [taylor]: Taking taylor expansion of (/ y x) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.162 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ y x) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ y x) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.162 * [taylor]: Taking taylor expansion of (log y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (log x) in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.174 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.174 * [approximate]: Taking taylor expansion of (* x (log (/ x y))) in (x y) around 0 0.174 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.174 * [taylor]: Taking taylor expansion of (/ x y) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.174 * [taylor]: Taking taylor expansion of (/ x y) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.174 * [taylor]: Taking taylor expansion of (/ x y) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.176 * [taylor]: Taking taylor expansion of (log x) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [approximate]: Taking taylor expansion of (/ (log (/ y x)) x) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in y 0.185 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.185 * [taylor]: Taking taylor expansion of (/ y x) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.186 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ y x) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.186 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ y x) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.187 * [taylor]: Taking taylor expansion of (log y) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (log x) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [approximate]: Taking taylor expansion of (* -1 (/ (log (/ y x)) x)) in (x y) around 0 0.202 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ y x)) x)) in y 0.202 * [taylor]: Taking taylor expansion of -1 in y 0.202 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in y 0.202 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.202 * [taylor]: Taking taylor expansion of (/ y x) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ y x)) x)) in x 0.203 * [taylor]: Taking taylor expansion of -1 in x 0.203 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.203 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ y x) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ y x)) x)) in x 0.203 * [taylor]: Taking taylor expansion of -1 in x 0.203 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.203 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ y x) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (* -1 (- (log y) (log x))) in y 0.204 * [taylor]: Taking taylor expansion of -1 in y 0.204 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.204 * [taylor]: Taking taylor expansion of (log y) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (log x) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.221 * [approximate]: Taking taylor expansion of (- (* x (log (/ x y))) z) in (x y z) around 0 0.221 * [taylor]: Taking taylor expansion of (- (* x (log (/ x y))) z) in z 0.221 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in z 0.221 * [taylor]: Taking taylor expansion of x in z 0.221 * [taylor]: Taking taylor expansion of (log (/ x y)) in z 0.221 * [taylor]: Taking taylor expansion of (/ x y) in z 0.221 * [taylor]: Taking taylor expansion of x in z 0.221 * [taylor]: Taking taylor expansion of y in z 0.221 * [taylor]: Taking taylor expansion of z in z 0.221 * [taylor]: Taking taylor expansion of (- (* x (log (/ x y))) z) in y 0.221 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.221 * [taylor]: Taking taylor expansion of (/ x y) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of z in y 0.222 * [taylor]: Taking taylor expansion of (- (* x (log (/ x y))) z) in x 0.222 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.222 * [taylor]: Taking taylor expansion of (/ x y) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of z in x 0.222 * [taylor]: Taking taylor expansion of (- (* x (log (/ x y))) z) in x 0.222 * [taylor]: Taking taylor expansion of (* x (log (/ x y))) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.222 * [taylor]: Taking taylor expansion of (/ x y) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of z in x 0.223 * [taylor]: Taking taylor expansion of (- z) in y 0.223 * [taylor]: Taking taylor expansion of z in y 0.223 * [taylor]: Taking taylor expansion of (- z) in z 0.223 * [taylor]: Taking taylor expansion of z in z 0.232 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.232 * [taylor]: Taking taylor expansion of (log x) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.232 * [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 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in z 0.238 * [taylor]: Taking taylor expansion of 0 in z 0.239 * [taylor]: Taking taylor expansion of 0 in z 0.241 * [approximate]: Taking taylor expansion of (- (/ (log (/ y x)) x) (/ 1 z)) in (x y z) around 0 0.241 * [taylor]: Taking taylor expansion of (- (/ (log (/ y x)) x) (/ 1 z)) in z 0.241 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in z 0.241 * [taylor]: Taking taylor expansion of (log (/ y x)) in z 0.241 * [taylor]: Taking taylor expansion of (/ y x) in z 0.241 * [taylor]: Taking taylor expansion of y in z 0.241 * [taylor]: Taking taylor expansion of x in z 0.241 * [taylor]: Taking taylor expansion of x in z 0.242 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.242 * [taylor]: Taking taylor expansion of z in z 0.242 * [taylor]: Taking taylor expansion of (- (/ (log (/ y x)) x) (/ 1 z)) in y 0.242 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in y 0.242 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.242 * [taylor]: Taking taylor expansion of (/ y x) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.243 * [taylor]: Taking taylor expansion of z in y 0.243 * [taylor]: Taking taylor expansion of (- (/ (log (/ y x)) x) (/ 1 z)) in x 0.243 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.243 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ y x) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.244 * [taylor]: Taking taylor expansion of z in x 0.244 * [taylor]: Taking taylor expansion of (- (/ (log (/ y x)) x) (/ 1 z)) in x 0.244 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.244 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ y x) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.245 * [taylor]: Taking taylor expansion of z in x 0.245 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.245 * [taylor]: Taking taylor expansion of (log y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (log x) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in z 0.246 * [taylor]: Taking taylor expansion of (log y) in z 0.246 * [taylor]: Taking taylor expansion of y in z 0.246 * [taylor]: Taking taylor expansion of (log x) in z 0.246 * [taylor]: Taking taylor expansion of x in z 0.248 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.248 * [taylor]: Taking taylor expansion of z in y 0.248 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in z 0.248 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.248 * [taylor]: Taking taylor expansion of z in z 0.250 * [taylor]: Taking taylor expansion of 0 in z 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of 0 in z 0.254 * [taylor]: Taking taylor expansion of 0 in z 0.258 * [taylor]: Taking taylor expansion of 0 in z 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of 0 in z 0.265 * [taylor]: Taking taylor expansion of 0 in z 0.266 * [taylor]: Taking taylor expansion of 0 in z 0.272 * [taylor]: Taking taylor expansion of 0 in z 0.273 * [approximate]: Taking taylor expansion of (- (/ 1 z) (/ (log (/ y x)) x)) in (x y z) around 0 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ (log (/ y x)) x)) in z 0.273 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.273 * [taylor]: Taking taylor expansion of z in z 0.273 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in z 0.273 * [taylor]: Taking taylor expansion of (log (/ y x)) in z 0.273 * [taylor]: Taking taylor expansion of (/ y x) in z 0.273 * [taylor]: Taking taylor expansion of y in z 0.273 * [taylor]: Taking taylor expansion of x in z 0.273 * [taylor]: Taking taylor expansion of x in z 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ (log (/ y x)) x)) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.273 * [taylor]: Taking taylor expansion of z in y 0.273 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in y 0.273 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.274 * [taylor]: Taking taylor expansion of (/ y x) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ (log (/ y x)) x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.275 * [taylor]: Taking taylor expansion of z in x 0.275 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.275 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ y x) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ (log (/ y x)) x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.276 * [taylor]: Taking taylor expansion of z in x 0.276 * [taylor]: Taking taylor expansion of (/ (log (/ y x)) x) in x 0.276 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ y x) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (- (log x) (log y)) in y 0.277 * [taylor]: Taking taylor expansion of (log x) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (log y) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (- (log x) (log y)) in z 0.278 * [taylor]: Taking taylor expansion of (log x) in z 0.278 * [taylor]: Taking taylor expansion of x in z 0.278 * [taylor]: Taking taylor expansion of (log y) in z 0.278 * [taylor]: Taking taylor expansion of y in z 0.280 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.280 * [taylor]: Taking taylor expansion of z in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.280 * [taylor]: Taking taylor expansion of z in z 0.282 * [taylor]: Taking taylor expansion of 0 in z 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [taylor]: Taking taylor expansion of 0 in z 0.286 * [taylor]: Taking taylor expansion of 0 in z 0.290 * [taylor]: Taking taylor expansion of 0 in z 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of 0 in z 0.297 * [taylor]: Taking taylor expansion of 0 in z 0.297 * [taylor]: Taking taylor expansion of 0 in z 0.303 * [taylor]: Taking taylor expansion of 0 in z 0.303 * * * [progress]: simplifying candidates 0.305 * [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) (* (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)) x) (* x 1) (* x (* (cbrt (log (/ x y))) (cbrt (log (/ x y))))) (* x (sqrt (log (/ x y)))) (* x 1) (* (cbrt x) (log (/ x y))) (* (sqrt x) (log (/ x y))) (* x (log (/ x y))) (fma x (log (/ x y)) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z)))) (fma x (log (/ x y)) (- (* (sqrt z) (sqrt z)))) (fma (- (sqrt z)) (sqrt z) (* (sqrt z) (sqrt z))) (fma x (log (/ x y)) (- (* z 1))) (fma (- z) 1 (* z 1)) (expm1 (- (* x (log (/ x y))) z)) (log1p (- (* x (log (/ x y))) z)) (- z) (/ (exp (* x (log (/ x y)))) (exp z)) (log (- (* x (log (/ 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))))) 0.306 * [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 h1))))) (* h0 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h0) (* (log 1) h0) (* (log (/ h0 h1)) h0) (* (log h0) h0) (* (log (/ 1 h1)) h0) (* h0 1) (* h0 (* (cbrt (log (/ h0 h1))) (cbrt (log (/ h0 h1))))) (* h0 (sqrt (log (/ h0 h1)))) (* h0 1) (* (cbrt h0) (log (/ h0 h1))) (* (sqrt h0) (log (/ h0 h1))) (* h0 (log (/ h0 h1))) (fma h0 (log (/ h0 h1)) (- (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2)))) (fma h0 (log (/ h0 h1)) (- (* (sqrt h2) (sqrt h2)))) (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2))) (fma h0 (log (/ h0 h1)) (- (* h2 1))) (fma (- h2) 1 (* h2 1)) (expm1 (- (* h0 (log (/ h0 h1))) h2)) (log1p (- (* h0 (log (/ h0 h1))) h2)) (- h2) (/ (exp (* h0 (log (/ h0 h1)))) (exp h2)) (log (- (* h0 (log (/ h0 h1))) h2)) (exp (- (* h0 (log (/ h0 h1))) h2)) (* (cbrt (- (* h0 (log (/ h0 h1))) h2)) (cbrt (- (* h0 (log (/ h0 h1))) h2))) (cbrt (- (* h0 (log (/ h0 h1))) h2)) (* (* (- (* h0 (log (/ h0 h1))) h2) (- (* h0 (log (/ h0 h1))) h2)) (- (* h0 (log (/ h0 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))))) 0.313 * * [simplify]: iteration 0 : 413 enodes (cost 767 ) 0.323 * * [simplify]: iteration 1 : 1429 enodes (cost 702 ) 0.357 * * [simplify]: iteration 2 : 5001 enodes (cost 683 ) 0.362 * [simplify]: Simplified to: (expm1 (log (/ x y))) (log1p (log (/ x y))) (* 2 (log (cbrt (/ x y)))) (log (cbrt (/ x y))) (log (sqrt (/ x y))) (log (sqrt (/ x y))) (* 2 (log (/ (cbrt x) (cbrt y)))) (log (/ (cbrt x) (cbrt y))) (log (/ (* (cbrt x) (cbrt x)) (sqrt y))) (log (/ (cbrt x) (sqrt y))) (* 2 (log (cbrt x))) (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)) (log (/ (sqrt x) y)) (log (/ 1 (* (cbrt y) (cbrt y)))) (log (/ x (cbrt y))) (log (/ 1 (sqrt y))) (log (/ x (sqrt y))) 0 (log (/ x y)) 0 (log (/ x y)) (log x) (log (/ 1 y)) (log x) (log y) (log (/ x y)) (log (log (/ x y))) (/ x y) (* (cbrt (log (/ x y))) (cbrt (log (/ x y)))) (cbrt (log (/ x y))) (pow (log (/ x y)) 3) (sqrt (log (/ x y))) (sqrt (log (/ x y))) (expm1 (* x (log (/ x y)))) (log1p (* x (log (/ x y)))) (* (log (/ x y)) x) (log (* x (log (/ x y)))) (log (* x (log (/ x y)))) (pow (/ x y) x) (pow (* x (log (/ x y))) 3) (* (cbrt (* x (log (/ x y)))) (cbrt (* x (log (/ x y))))) (cbrt (* x (log (/ x y)))) (pow (* x (log (/ x y))) 3) (sqrt (* x (log (/ x y)))) (sqrt 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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) 0.362 * * * [progress]: adding candidates to table 0.686 * * [progress]: iteration 2 / 4 0.686 * * * [progress]: picking best candidate 0.703 * * * * [pick]: Picked # 0.703 * * * [progress]: localizing error 0.722 * * * [progress]: generating rewritten candidates 0.722 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) 0.723 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1) 0.724 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1 2) 0.725 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1 2) 0.727 * * * [progress]: generating series expansions 0.727 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 1) 0.727 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.727 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.727 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.727 * [taylor]: Taking taylor expansion of 1/3 in x 0.727 * [taylor]: Taking taylor expansion of (log x) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.729 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.729 * [taylor]: Taking taylor expansion of 1/3 in x 0.729 * [taylor]: Taking taylor expansion of (log x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.782 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.782 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.782 * [taylor]: Taking taylor expansion of 1/3 in x 0.782 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.783 * [taylor]: Taking taylor expansion of 1/3 in x 0.783 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.847 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.847 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.847 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.847 * [taylor]: Taking taylor expansion of -1 in x 0.848 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.848 * [taylor]: Taking taylor expansion of 1/3 in x 0.848 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.849 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.849 * [taylor]: Taking taylor expansion of -1 in x 0.850 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.850 * [taylor]: Taking taylor expansion of 1/3 in x 0.850 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.927 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1) 0.927 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.927 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.927 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.927 * [taylor]: Taking taylor expansion of 1/3 in x 0.927 * [taylor]: Taking taylor expansion of (log x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.928 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.928 * [taylor]: Taking taylor expansion of 1/3 in x 0.928 * [taylor]: Taking taylor expansion of (log x) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.989 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.989 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.989 * [taylor]: Taking taylor expansion of 1/3 in x 0.989 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.991 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.991 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.991 * [taylor]: Taking taylor expansion of 1/3 in x 0.991 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 1.047 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.047 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.047 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.047 * [taylor]: Taking taylor expansion of -1 in x 1.048 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.049 * [taylor]: Taking taylor expansion of 1/3 in x 1.049 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.050 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.050 * [taylor]: Taking taylor expansion of -1 in x 1.051 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.051 * [taylor]: Taking taylor expansion of 1/3 in x 1.051 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.128 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1 2) 1.128 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.128 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.128 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.128 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.128 * [taylor]: Taking taylor expansion of 1/3 in y 1.128 * [taylor]: Taking taylor expansion of (log y) in y 1.128 * [taylor]: Taking taylor expansion of y in y 1.129 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.129 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.129 * [taylor]: Taking taylor expansion of 1/3 in y 1.129 * [taylor]: Taking taylor expansion of (log y) in y 1.129 * [taylor]: Taking taylor expansion of y in y 1.190 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.190 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.190 * [taylor]: Taking taylor expansion of 1/3 in y 1.190 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.190 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.190 * [taylor]: Taking taylor expansion of y in y 1.191 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.191 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.191 * [taylor]: Taking taylor expansion of 1/3 in y 1.191 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.191 * [taylor]: Taking taylor expansion of y in y 1.254 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.254 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.254 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.254 * [taylor]: Taking taylor expansion of -1 in y 1.255 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.255 * [taylor]: Taking taylor expansion of 1/3 in y 1.255 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.255 * [taylor]: Taking taylor expansion of y in y 1.256 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.256 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.256 * [taylor]: Taking taylor expansion of -1 in y 1.257 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.257 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.257 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.257 * [taylor]: Taking taylor expansion of 1/3 in y 1.257 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.257 * [taylor]: Taking taylor expansion of y in y 1.333 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1 2) 1.333 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.333 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.333 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.333 * [taylor]: Taking taylor expansion of 1/3 in y 1.333 * [taylor]: Taking taylor expansion of (log y) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.334 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.334 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.334 * [taylor]: Taking taylor expansion of 1/3 in y 1.334 * [taylor]: Taking taylor expansion of (log y) in y 1.334 * [taylor]: Taking taylor expansion of y in y 1.386 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.386 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.386 * [taylor]: Taking taylor expansion of 1/3 in y 1.386 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.386 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.386 * [taylor]: Taking taylor expansion of y in y 1.387 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.388 * [taylor]: Taking taylor expansion of 1/3 in y 1.388 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.388 * [taylor]: Taking taylor expansion of y in y 1.451 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.451 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.451 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.451 * [taylor]: Taking taylor expansion of -1 in y 1.453 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.453 * [taylor]: Taking taylor expansion of 1/3 in y 1.453 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.453 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.453 * [taylor]: Taking taylor expansion of y in y 1.454 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.454 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.454 * [taylor]: Taking taylor expansion of -1 in y 1.455 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.455 * [taylor]: Taking taylor expansion of 1/3 in y 1.455 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.455 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.455 * [taylor]: Taking taylor expansion of y in y 1.531 * * * [progress]: simplifying candidates 1.532 * [simplify]: Simplifying using # : (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)) (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)) (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)) (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)) 1.532 * [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)) 1.536 * * [simplify]: iteration 0 : 73 enodes (cost 172 ) 1.540 * * [simplify]: iteration 1 : 149 enodes (cost 160 ) 1.545 * * [simplify]: iteration 2 : 350 enodes (cost 152 ) 1.554 * * [simplify]: iteration 3 : 1283 enodes (cost 152 ) 1.595 * * [simplify]: iteration 4 : 5001 enodes (cost 152 ) 1.597 * [simplify]: Simplified to: (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)) (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)) (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)) (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)) 1.597 * * * [progress]: adding candidates to table 1.872 * * [progress]: iteration 3 / 4 1.872 * * * [progress]: picking best candidate 1.887 * * * * [pick]: Picked # 1.887 * * * [progress]: localizing error 1.907 * * * [progress]: generating rewritten candidates 1.908 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.924 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.925 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2) 1.926 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 1.928 * * * [progress]: generating series expansions 1.928 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.928 * [approximate]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow y 2)) 1/3)) in (x y) around 0 1.928 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow y 2)) 1/3)) in y 1.928 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in y 1.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in y 1.928 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in y 1.928 * [taylor]: Taking taylor expansion of 1/3 in y 1.929 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in y 1.929 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 1.929 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.929 * [taylor]: Taking taylor expansion of x in y 1.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.929 * [taylor]: Taking taylor expansion of y in y 1.930 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow y 2)) 1/3)) in x 1.930 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 1.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 1.930 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 1.930 * [taylor]: Taking taylor expansion of 1/3 in x 1.930 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 1.930 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 1.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.930 * [taylor]: Taking taylor expansion of y in x 1.932 * [taylor]: Taking taylor expansion of (log (pow (/ (pow x 2) (pow y 2)) 1/3)) in x 1.932 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 1.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 1.932 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 1.932 * [taylor]: Taking taylor expansion of 1/3 in x 1.932 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 1.932 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 1.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.932 * [taylor]: Taking taylor expansion of y in x 1.933 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 1.933 * [taylor]: Taking taylor expansion of 1/3 in y 1.933 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 1.934 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.934 * [taylor]: Taking taylor expansion of 2 in y 1.934 * [taylor]: Taking taylor expansion of (log x) in y 1.934 * [taylor]: Taking taylor expansion of x in y 1.934 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.934 * [taylor]: Taking taylor expansion of y in y 1.939 * [taylor]: Taking taylor expansion of 0 in y 1.948 * [taylor]: Taking taylor expansion of 0 in y 1.962 * [taylor]: Taking taylor expansion of 0 in y 1.962 * [approximate]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in (x y) around 0 1.962 * [taylor]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in y 1.963 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 1.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 1.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 1.963 * [taylor]: Taking taylor expansion of 1/3 in y 1.963 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 1.963 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 1.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.963 * [taylor]: Taking taylor expansion of y in y 1.963 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.963 * [taylor]: Taking taylor expansion of x in y 1.964 * [taylor]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in x 1.964 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.964 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.964 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.964 * [taylor]: Taking taylor expansion of 1/3 in x 1.964 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.964 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.964 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.964 * [taylor]: Taking taylor expansion of y in x 1.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.964 * [taylor]: Taking taylor expansion of x in x 1.965 * [taylor]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in x 1.965 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.966 * [taylor]: Taking taylor expansion of 1/3 in x 1.966 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.966 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.966 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.966 * [taylor]: Taking taylor expansion of y in x 1.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 1.967 * [taylor]: Taking taylor expansion of 1/3 in y 1.967 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 1.967 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.967 * [taylor]: Taking taylor expansion of y in y 1.968 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.968 * [taylor]: Taking taylor expansion of 2 in y 1.968 * [taylor]: Taking taylor expansion of (log x) in y 1.968 * [taylor]: Taking taylor expansion of x in y 1.972 * [taylor]: Taking taylor expansion of 0 in y 1.981 * [taylor]: Taking taylor expansion of 0 in y 1.995 * [taylor]: Taking taylor expansion of 0 in y 1.996 * [approximate]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in (x y) around 0 1.996 * [taylor]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in y 1.996 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 1.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 1.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 1.996 * [taylor]: Taking taylor expansion of 1/3 in y 1.996 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 1.996 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 1.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.996 * [taylor]: Taking taylor expansion of y in y 1.996 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.996 * [taylor]: Taking taylor expansion of x in y 1.998 * [taylor]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in x 1.998 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.998 * [taylor]: Taking taylor expansion of 1/3 in x 1.998 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.998 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.998 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.998 * [taylor]: Taking taylor expansion of y in x 1.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.999 * [taylor]: Taking taylor expansion of (log (pow (/ (pow y 2) (pow x 2)) 1/3)) in x 2.000 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 2.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 2.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 2.000 * [taylor]: Taking taylor expansion of 1/3 in x 2.000 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 2.000 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 2.000 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.000 * [taylor]: Taking taylor expansion of y in x 2.000 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.001 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 2.001 * [taylor]: Taking taylor expansion of 1/3 in y 2.001 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 2.001 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 2.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.001 * [taylor]: Taking taylor expansion of y in y 2.002 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 2.002 * [taylor]: Taking taylor expansion of 2 in y 2.002 * [taylor]: Taking taylor expansion of (log x) in y 2.002 * [taylor]: Taking taylor expansion of x in y 2.014 * [taylor]: Taking taylor expansion of 0 in y 2.023 * [taylor]: Taking taylor expansion of 0 in y 2.037 * [taylor]: Taking taylor expansion of 0 in y 2.037 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 2.037 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.037 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.037 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.037 * [taylor]: Taking taylor expansion of 1/3 in x 2.037 * [taylor]: Taking taylor expansion of (log x) in x 2.037 * [taylor]: Taking taylor expansion of x in x 2.038 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.038 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.038 * [taylor]: Taking taylor expansion of 1/3 in x 2.038 * [taylor]: Taking taylor expansion of (log x) in x 2.038 * [taylor]: Taking taylor expansion of x in x 2.091 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.091 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.091 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.091 * [taylor]: Taking taylor expansion of 1/3 in x 2.091 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.092 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.093 * [taylor]: Taking taylor expansion of 1/3 in x 2.093 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.157 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.158 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.158 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.158 * [taylor]: Taking taylor expansion of -1 in x 2.159 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.159 * [taylor]: Taking taylor expansion of 1/3 in x 2.159 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.159 * [taylor]: Taking taylor expansion of x in x 2.160 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.160 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.160 * [taylor]: Taking taylor expansion of -1 in x 2.161 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.161 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.161 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.161 * [taylor]: Taking taylor expansion of 1/3 in x 2.161 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.161 * [taylor]: Taking taylor expansion of x in x 2.239 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2) 2.239 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.239 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.239 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.239 * [taylor]: Taking taylor expansion of 1/3 in x 2.239 * [taylor]: Taking taylor expansion of (log x) in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.240 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.240 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.240 * [taylor]: Taking taylor expansion of 1/3 in x 2.240 * [taylor]: Taking taylor expansion of (log x) in x 2.240 * [taylor]: Taking taylor expansion of x in x 2.300 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.301 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.301 * [taylor]: Taking taylor expansion of 1/3 in x 2.301 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.301 * [taylor]: Taking taylor expansion of x in x 2.302 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.302 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.302 * [taylor]: Taking taylor expansion of 1/3 in x 2.302 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.302 * [taylor]: Taking taylor expansion of x in x 2.362 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.362 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.362 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.362 * [taylor]: Taking taylor expansion of -1 in x 2.363 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.363 * [taylor]: Taking taylor expansion of 1/3 in x 2.363 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.363 * [taylor]: Taking taylor expansion of x in x 2.364 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.364 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.364 * [taylor]: Taking taylor expansion of -1 in x 2.365 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.365 * [taylor]: Taking taylor expansion of 1/3 in x 2.365 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.443 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 2.443 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.444 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.444 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.444 * [taylor]: Taking taylor expansion of 1/3 in x 2.444 * [taylor]: Taking taylor expansion of (log x) in x 2.444 * [taylor]: Taking taylor expansion of x in x 2.444 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.445 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.445 * [taylor]: Taking taylor expansion of 1/3 in x 2.445 * [taylor]: Taking taylor expansion of (log x) in x 2.445 * [taylor]: Taking taylor expansion of x in x 2.507 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.507 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.507 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.507 * [taylor]: Taking taylor expansion of 1/3 in x 2.507 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.507 * [taylor]: Taking taylor expansion of x in x 2.508 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.508 * [taylor]: Taking taylor expansion of 1/3 in x 2.508 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.575 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.575 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.575 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.575 * [taylor]: Taking taylor expansion of -1 in x 2.576 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.576 * [taylor]: Taking taylor expansion of 1/3 in x 2.576 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.576 * [taylor]: Taking taylor expansion of x in x 2.577 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.577 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.577 * [taylor]: Taking taylor expansion of -1 in x 2.578 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.578 * [taylor]: Taking taylor expansion of 1/3 in x 2.578 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.578 * [taylor]: Taking taylor expansion of x in x 2.657 * * * [progress]: simplifying candidates 2.658 * [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 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)) (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)) (* 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 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)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.658 * [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 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 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)) (* 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 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 h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) 2.664 * * [simplify]: iteration 0 : 137 enodes (cost 341 ) 2.667 * * [simplify]: iteration 1 : 293 enodes (cost 300 ) 2.675 * * [simplify]: iteration 2 : 920 enodes (cost 281 ) 2.699 * * [simplify]: iteration 3 : 4414 enodes (cost 276 ) 2.793 * * [simplify]: iteration 4 : 5001 enodes (cost 276 ) 2.795 * [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)))) (* 2/3 (log x)) (* (- 2) (log (cbrt y))) (* 2/3 (log x)) (* 2 (log (cbrt y))) (* 2 (log (/ (cbrt x) (cbrt y)))) (+ (log 2) (log (log (/ (cbrt x) (cbrt y))))) (/ (pow x 2/3) (* (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))))) (* 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 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)) (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)) (* 2/3 (- (log x) (log y))) (* 2/3 (- (log x) (log y))) (* 2/3 (- (log (/ -1 y)) (log (/ -1 x)))) (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)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.795 * * * [progress]: adding candidates to table 3.111 * * [progress]: iteration 4 / 4 3.111 * * * [progress]: picking best candidate 3.123 * * * * [pick]: Picked # 3.123 * * * [progress]: localizing error 3.144 * * * [progress]: generating rewritten candidates 3.144 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 3.149 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 2) 3.150 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 2 2) 3.151 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2 1) 3.154 * * * [progress]: generating series expansions 3.154 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 3.154 * [approximate]: Taking taylor expansion of (log (* x (pow (/ 1 y) 1/3))) in (x y) around 0 3.154 * [taylor]: Taking taylor expansion of (log (* x (pow (/ 1 y) 1/3))) in y 3.154 * [taylor]: Taking taylor expansion of (* x (pow (/ 1 y) 1/3)) in y 3.154 * [taylor]: Taking taylor expansion of x in y 3.154 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.154 * [taylor]: Taking taylor expansion of 1/3 in y 3.154 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.154 * [taylor]: Taking taylor expansion of y in y 3.156 * [taylor]: Taking taylor expansion of (log (* x (pow (/ 1 y) 1/3))) in x 3.156 * [taylor]: Taking taylor expansion of (* x (pow (/ 1 y) 1/3)) in x 3.156 * [taylor]: Taking taylor expansion of x in x 3.156 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 3.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 3.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 3.156 * [taylor]: Taking taylor expansion of 1/3 in x 3.156 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 3.156 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.156 * [taylor]: Taking taylor expansion of y in x 3.159 * [taylor]: Taking taylor expansion of (log (* x (pow (/ 1 y) 1/3))) in x 3.159 * [taylor]: Taking taylor expansion of (* x (pow (/ 1 y) 1/3)) in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.159 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 3.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 3.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 3.159 * [taylor]: Taking taylor expansion of 1/3 in x 3.159 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 3.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.159 * [taylor]: Taking taylor expansion of y in x 3.162 * [taylor]: Taking taylor expansion of (+ (log x) (log (pow (/ 1 y) 1/3))) in y 3.162 * [taylor]: Taking taylor expansion of (log x) in y 3.162 * [taylor]: Taking taylor expansion of x in y 3.162 * [taylor]: Taking taylor expansion of (log (pow (/ 1 y) 1/3)) in y 3.162 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.162 * [taylor]: Taking taylor expansion of 1/3 in y 3.163 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.163 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.163 * [taylor]: Taking taylor expansion of y in y 3.169 * [taylor]: Taking taylor expansion of 0 in y 3.179 * [taylor]: Taking taylor expansion of 0 in y 3.195 * [taylor]: Taking taylor expansion of 0 in y 3.195 * [approximate]: Taking taylor expansion of (log (* (/ 1 x) (pow y 1/3))) in (x y) around 0 3.196 * [taylor]: Taking taylor expansion of (log (* (/ 1 x) (pow y 1/3))) in y 3.196 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow y 1/3)) in y 3.196 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.196 * [taylor]: Taking taylor expansion of x in y 3.196 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.196 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.196 * [taylor]: Taking taylor expansion of 1/3 in y 3.196 * [taylor]: Taking taylor expansion of (log y) in y 3.196 * [taylor]: Taking taylor expansion of y in y 3.197 * [taylor]: Taking taylor expansion of (log (* (/ 1 x) (pow y 1/3))) in x 3.197 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow y 1/3)) in x 3.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.197 * [taylor]: Taking taylor expansion of x in x 3.197 * [taylor]: Taking taylor expansion of (pow y 1/3) in x 3.197 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in x 3.197 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in x 3.197 * [taylor]: Taking taylor expansion of 1/3 in x 3.197 * [taylor]: Taking taylor expansion of (log y) in x 3.197 * [taylor]: Taking taylor expansion of y in x 3.198 * [taylor]: Taking taylor expansion of (log (* (/ 1 x) (pow y 1/3))) in x 3.198 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow y 1/3)) in x 3.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.198 * [taylor]: Taking taylor expansion of x in x 3.198 * [taylor]: Taking taylor expansion of (pow y 1/3) in x 3.198 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in x 3.198 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in x 3.198 * [taylor]: Taking taylor expansion of 1/3 in x 3.198 * [taylor]: Taking taylor expansion of (log y) in x 3.198 * [taylor]: Taking taylor expansion of y in x 3.199 * [taylor]: Taking taylor expansion of (- (log (pow y 1/3)) (log x)) in y 3.199 * [taylor]: Taking taylor expansion of (log (pow y 1/3)) in y 3.199 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.199 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.199 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.199 * [taylor]: Taking taylor expansion of 1/3 in y 3.199 * [taylor]: Taking taylor expansion of (log y) in y 3.199 * [taylor]: Taking taylor expansion of y in y 3.200 * [taylor]: Taking taylor expansion of (log x) in y 3.200 * [taylor]: Taking taylor expansion of x in y 3.203 * [taylor]: Taking taylor expansion of 0 in y 3.212 * [taylor]: Taking taylor expansion of 0 in y 3.233 * [taylor]: Taking taylor expansion of 0 in y 3.233 * [approximate]: Taking taylor expansion of (log (* -1 (* (/ 1 (* (cbrt -1) x)) (pow y 1/3)))) in (x y) around 0 3.233 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 (* (cbrt -1) x)) (pow y 1/3)))) in y 3.233 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 (* (cbrt -1) x)) (pow y 1/3))) in y 3.233 * [taylor]: Taking taylor expansion of -1 in y 3.233 * [taylor]: Taking taylor expansion of (* (/ 1 (* (cbrt -1) x)) (pow y 1/3)) in y 3.233 * [taylor]: Taking taylor expansion of (/ 1 (* (cbrt -1) x)) in y 3.233 * [taylor]: Taking taylor expansion of (* (cbrt -1) x) in y 3.233 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.234 * [taylor]: Taking taylor expansion of -1 in y 3.234 * [taylor]: Taking taylor expansion of x in y 3.235 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.235 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.235 * [taylor]: Taking taylor expansion of 1/3 in y 3.235 * [taylor]: Taking taylor expansion of (log y) in y 3.235 * [taylor]: Taking taylor expansion of y in y 3.237 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 (* (cbrt -1) x)) (pow y 1/3)))) in x 3.237 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 (* (cbrt -1) x)) (pow y 1/3))) in x 3.237 * [taylor]: Taking taylor expansion of -1 in x 3.237 * [taylor]: Taking taylor expansion of (* (/ 1 (* (cbrt -1) x)) (pow y 1/3)) in x 3.237 * [taylor]: Taking taylor expansion of (/ 1 (* (cbrt -1) x)) in x 3.237 * [taylor]: Taking taylor expansion of (* (cbrt -1) x) in x 3.237 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.237 * [taylor]: Taking taylor expansion of -1 in x 3.238 * [taylor]: Taking taylor expansion of x in x 3.240 * [taylor]: Taking taylor expansion of (pow y 1/3) in x 3.241 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in x 3.241 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in x 3.241 * [taylor]: Taking taylor expansion of 1/3 in x 3.241 * [taylor]: Taking taylor expansion of (log y) in x 3.241 * [taylor]: Taking taylor expansion of y in x 3.243 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 (* (cbrt -1) x)) (pow y 1/3)))) in x 3.243 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 (* (cbrt -1) x)) (pow y 1/3))) in x 3.243 * [taylor]: Taking taylor expansion of -1 in x 3.243 * [taylor]: Taking taylor expansion of (* (/ 1 (* (cbrt -1) x)) (pow y 1/3)) in x 3.243 * [taylor]: Taking taylor expansion of (/ 1 (* (cbrt -1) x)) in x 3.243 * [taylor]: Taking taylor expansion of (* (cbrt -1) x) in x 3.243 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.243 * [taylor]: Taking taylor expansion of -1 in x 3.244 * [taylor]: Taking taylor expansion of x in x 3.246 * [taylor]: Taking taylor expansion of (pow y 1/3) in x 3.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in x 3.246 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in x 3.246 * [taylor]: Taking taylor expansion of 1/3 in x 3.246 * [taylor]: Taking taylor expansion of (log y) in x 3.246 * [taylor]: Taking taylor expansion of y in x 3.250 * [taylor]: Taking taylor expansion of (- (log (* -1 (* (/ 1 (cbrt -1)) (pow y 1/3)))) (log x)) in y 3.250 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 (cbrt -1)) (pow y 1/3)))) in y 3.250 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 (cbrt -1)) (pow y 1/3))) in y 3.250 * [taylor]: Taking taylor expansion of -1 in y 3.250 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow y 1/3)) in y 3.250 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in y 3.250 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.250 * [taylor]: Taking taylor expansion of -1 in y 3.251 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.251 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.251 * [taylor]: Taking taylor expansion of 1/3 in y 3.251 * [taylor]: Taking taylor expansion of (log y) in y 3.252 * [taylor]: Taking taylor expansion of y in y 3.255 * [taylor]: Taking taylor expansion of (log x) in y 3.255 * [taylor]: Taking taylor expansion of x in y 3.264 * [taylor]: Taking taylor expansion of 0 in y 3.281 * [taylor]: Taking taylor expansion of 0 in y 3.307 * [taylor]: Taking taylor expansion of 0 in y 3.308 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 2) 3.309 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 3.309 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.309 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.309 * [taylor]: Taking taylor expansion of 1/3 in y 3.309 * [taylor]: Taking taylor expansion of (log y) in y 3.309 * [taylor]: Taking taylor expansion of y in y 3.310 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.310 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.310 * [taylor]: Taking taylor expansion of 1/3 in y 3.310 * [taylor]: Taking taylor expansion of (log y) in y 3.310 * [taylor]: Taking taylor expansion of y in y 3.372 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 3.372 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.372 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.372 * [taylor]: Taking taylor expansion of 1/3 in y 3.372 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.372 * [taylor]: Taking taylor expansion of y in y 3.373 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.373 * [taylor]: Taking taylor expansion of 1/3 in y 3.373 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.373 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.373 * [taylor]: Taking taylor expansion of y in y 3.440 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 3.440 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 3.440 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.440 * [taylor]: Taking taylor expansion of -1 in y 3.441 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.441 * [taylor]: Taking taylor expansion of 1/3 in y 3.441 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.441 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.441 * [taylor]: Taking taylor expansion of y in y 3.442 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 3.442 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.442 * [taylor]: Taking taylor expansion of -1 in y 3.443 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.443 * [taylor]: Taking taylor expansion of 1/3 in y 3.443 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.443 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.443 * [taylor]: Taking taylor expansion of y in y 3.521 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 2 2) 3.522 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 3.522 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.522 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.522 * [taylor]: Taking taylor expansion of 1/3 in y 3.522 * [taylor]: Taking taylor expansion of (log y) in y 3.522 * [taylor]: Taking taylor expansion of y in y 3.523 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.523 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.523 * [taylor]: Taking taylor expansion of 1/3 in y 3.523 * [taylor]: Taking taylor expansion of (log y) in y 3.523 * [taylor]: Taking taylor expansion of y in y 3.577 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 3.577 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.577 * [taylor]: Taking taylor expansion of 1/3 in y 3.577 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.577 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.577 * [taylor]: Taking taylor expansion of y in y 3.579 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.579 * [taylor]: Taking taylor expansion of 1/3 in y 3.579 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.579 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.579 * [taylor]: Taking taylor expansion of y in y 3.645 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 3.645 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 3.645 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.645 * [taylor]: Taking taylor expansion of -1 in y 3.646 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.646 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.646 * [taylor]: Taking taylor expansion of 1/3 in y 3.646 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.646 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.646 * [taylor]: Taking taylor expansion of y in y 3.647 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 3.647 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.647 * [taylor]: Taking taylor expansion of -1 in y 3.647 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.648 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.648 * [taylor]: Taking taylor expansion of 1/3 in y 3.648 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.648 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.648 * [taylor]: Taking taylor expansion of y in y 3.724 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2 1) 3.724 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 3.724 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.724 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.724 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.724 * [taylor]: Taking taylor expansion of 1/3 in y 3.724 * [taylor]: Taking taylor expansion of (log y) in y 3.724 * [taylor]: Taking taylor expansion of y in y 3.725 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.725 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.725 * [taylor]: Taking taylor expansion of 1/3 in y 3.725 * [taylor]: Taking taylor expansion of (log y) in y 3.725 * [taylor]: Taking taylor expansion of y in y 3.786 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 3.786 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.786 * [taylor]: Taking taylor expansion of 1/3 in y 3.786 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.786 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.786 * [taylor]: Taking taylor expansion of y in y 3.787 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.788 * [taylor]: Taking taylor expansion of 1/3 in y 3.788 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.788 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.788 * [taylor]: Taking taylor expansion of y in y 3.844 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 3.845 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 3.845 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.845 * [taylor]: Taking taylor expansion of -1 in y 3.846 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.846 * [taylor]: Taking taylor expansion of 1/3 in y 3.846 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.846 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.846 * [taylor]: Taking taylor expansion of y in y 3.847 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 3.847 * [taylor]: Taking taylor expansion of (cbrt -1) in y 3.847 * [taylor]: Taking taylor expansion of -1 in y 3.848 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 3.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 3.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 3.848 * [taylor]: Taking taylor expansion of 1/3 in y 3.848 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 3.848 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.848 * [taylor]: Taking taylor expansion of y in y 3.924 * * * [progress]: simplifying candidates 3.926 * [simplify]: Simplifying using # : (expm1 (log (/ x (cbrt y)))) (log1p (log (/ x (cbrt y)))) (log (* (cbrt (/ x (cbrt y))) (cbrt (/ x (cbrt y))))) (log (cbrt (/ x (cbrt y)))) (log (sqrt (/ x (cbrt y)))) (log (sqrt (/ x (cbrt y)))) (log (/ (* (cbrt x) (cbrt x)) (cbrt (* (cbrt y) (cbrt y))))) (log (/ (cbrt x) (cbrt (cbrt y)))) (log (/ (* (cbrt x) (cbrt x)) (cbrt (sqrt y)))) (log (/ (cbrt x) (cbrt (sqrt y)))) (log (/ (* (cbrt x) (cbrt x)) (cbrt 1))) (log (/ (cbrt x) (cbrt y))) (log (/ (* (cbrt x) (cbrt x)) (* (cbrt (cbrt y)) (cbrt (cbrt y))))) (log (/ (cbrt x) (cbrt (cbrt y)))) (log (/ (* (cbrt x) (cbrt x)) (sqrt (cbrt y)))) (log (/ (cbrt x) (sqrt (cbrt y)))) (log (/ (* (cbrt x) (cbrt x)) 1)) (log (/ (cbrt x) (cbrt y))) (log (/ (sqrt x) (cbrt (* (cbrt y) (cbrt y))))) (log (/ (sqrt x) (cbrt (cbrt y)))) (log (/ (sqrt x) (cbrt (sqrt y)))) (log (/ (sqrt x) (cbrt (sqrt y)))) (log (/ (sqrt x) (cbrt 1))) (log (/ (sqrt x) (cbrt y))) (log (/ (sqrt x) (* (cbrt (cbrt y)) (cbrt (cbrt y))))) (log (/ (sqrt x) (cbrt (cbrt y)))) (log (/ (sqrt x) (sqrt (cbrt y)))) (log (/ (sqrt x) (sqrt (cbrt y)))) (log (/ (sqrt x) 1)) (log (/ (sqrt x) (cbrt y))) (log (/ 1 (cbrt (* (cbrt y) (cbrt y))))) (log (/ x (cbrt (cbrt y)))) (log (/ 1 (cbrt (sqrt y)))) (log (/ x (cbrt (sqrt y)))) (log (/ 1 (cbrt 1))) (log (/ x (cbrt y))) (log (/ 1 (* (cbrt (cbrt y)) (cbrt (cbrt y))))) (log (/ x (cbrt (cbrt y)))) (log (/ 1 (sqrt (cbrt y)))) (log (/ x (sqrt (cbrt y)))) (log (/ 1 1)) (log (/ x (cbrt y))) (log 1) (log (/ x (cbrt y))) (log x) (log (/ 1 (cbrt y))) (log x) (log (cbrt y)) (log (/ x (cbrt y))) (log (log (/ x (cbrt y)))) (exp (log (/ x (cbrt y)))) (* (cbrt (log (/ x (cbrt y)))) (cbrt (log (/ x (cbrt y))))) (cbrt (log (/ x (cbrt y)))) (* (* (log (/ x (cbrt y))) (log (/ x (cbrt y)))) (log (/ x (cbrt y)))) (sqrt (log (/ x (cbrt y)))) (sqrt (log (/ x (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)) (+ (log x) (log (pow y -1/3))) (- (log (pow (/ 1 y) 1/3)) (log (/ 1 x))) (- (log (* -1 (* (pow (/ -1 y) 1/3) (/ 1 (cbrt -1))))) (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)) 3.926 * [simplify]: Sending expressions to egg_math: (expm1 (log (/ h0 (cbrt h1)))) (log1p (log (/ h0 (cbrt h1)))) (log (* (cbrt (/ h0 (cbrt h1))) (cbrt (/ h0 (cbrt h1))))) (log (cbrt (/ h0 (cbrt h1)))) (log (sqrt (/ h0 (cbrt h1)))) (log (sqrt (/ h0 (cbrt h1)))) (log (/ (* (cbrt h0) (cbrt h0)) (cbrt (* (cbrt h1) (cbrt h1))))) (log (/ (cbrt h0) (cbrt (cbrt h1)))) (log (/ (* (cbrt h0) (cbrt h0)) (cbrt (sqrt h1)))) (log (/ (cbrt h0) (cbrt (sqrt h1)))) (log (/ (* (cbrt h0) (cbrt h0)) (cbrt 1))) (log (/ (cbrt h0) (cbrt h1))) (log (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))))) (log (/ (cbrt h0) (cbrt (cbrt h1)))) (log (/ (* (cbrt h0) (cbrt h0)) (sqrt (cbrt h1)))) (log (/ (cbrt h0) (sqrt (cbrt h1)))) (log (/ (* (cbrt h0) (cbrt h0)) 1)) (log (/ (cbrt h0) (cbrt h1))) (log (/ (sqrt h0) (cbrt (* (cbrt h1) (cbrt h1))))) (log (/ (sqrt h0) (cbrt (cbrt h1)))) (log (/ (sqrt h0) (cbrt (sqrt h1)))) (log (/ (sqrt h0) (cbrt (sqrt h1)))) (log (/ (sqrt h0) (cbrt 1))) (log (/ (sqrt h0) (cbrt h1))) (log (/ (sqrt h0) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))))) (log (/ (sqrt h0) (cbrt (cbrt h1)))) (log (/ (sqrt h0) (sqrt (cbrt h1)))) (log (/ (sqrt h0) (sqrt (cbrt h1)))) (log (/ (sqrt h0) 1)) (log (/ (sqrt h0) (cbrt h1))) (log (/ 1 (cbrt (* (cbrt h1) (cbrt h1))))) (log (/ h0 (cbrt (cbrt h1)))) (log (/ 1 (cbrt (sqrt h1)))) (log (/ h0 (cbrt (sqrt h1)))) (log (/ 1 (cbrt 1))) (log (/ h0 (cbrt h1))) (log (/ 1 (* (cbrt (cbrt h1)) (cbrt (cbrt h1))))) (log (/ h0 (cbrt (cbrt h1)))) (log (/ 1 (sqrt (cbrt h1)))) (log (/ h0 (sqrt (cbrt h1)))) (log (/ 1 1)) (log (/ h0 (cbrt h1))) (log 1) (log (/ h0 (cbrt h1))) (log h0) (log (/ 1 (cbrt h1))) (log h0) (log (cbrt h1)) (log (/ h0 (cbrt h1))) (log (log (/ h0 (cbrt h1)))) (exp (log (/ h0 (cbrt h1)))) (* (cbrt (log (/ h0 (cbrt h1)))) (cbrt (log (/ h0 (cbrt h1))))) (cbrt (log (/ h0 (cbrt h1)))) (* (* (log (/ h0 (cbrt h1))) (log (/ h0 (cbrt h1)))) (log (/ h0 (cbrt h1)))) (sqrt (log (/ h0 (cbrt h1)))) (sqrt (log (/ h0 (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)) (+ (log h0) (log (pow h1 -1/3))) (- (log (pow (/ 1 h1) 1/3)) (log (/ 1 h0))) (- (log (* -1 (* (pow (/ -1 h1) 1/3) (/ 1 (cbrt -1))))) (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)) 3.931 * * [simplify]: iteration 0 : 233 enodes (cost 406 ) 3.936 * * [simplify]: iteration 1 : 548 enodes (cost 383 ) 3.947 * * [simplify]: iteration 2 : 1616 enodes (cost 369 ) 3.972 * * [simplify]: iteration 3 : 5001 enodes (cost 355 ) 3.974 * [simplify]: Simplified to: (expm1 (log (/ x (cbrt y)))) (log1p (log (/ x (cbrt y)))) (* 2 (log (cbrt (/ x (cbrt y))))) (log (cbrt (/ x (cbrt y)))) (log (sqrt (/ x (cbrt y)))) (log (sqrt (/ x (cbrt y)))) (log (/ (* (cbrt x) (cbrt x)) (cbrt (* (cbrt y) (cbrt y))))) (log (/ (cbrt x) (cbrt (cbrt y)))) (log (/ (* (cbrt x) (cbrt x)) (cbrt (sqrt y)))) (log (/ (cbrt x) (cbrt (sqrt y)))) (* 2 (log (cbrt x))) (log (/ (cbrt x) (cbrt y))) (* 2 (log (/ (cbrt x) (cbrt (cbrt y))))) (log (/ (cbrt x) (cbrt (cbrt y)))) (log (/ (* (cbrt x) (cbrt x)) (sqrt (cbrt y)))) (log (/ (cbrt x) (sqrt (cbrt y)))) (* 2 (log (cbrt x))) (log (/ (cbrt x) (cbrt y))) (log (/ (sqrt x) (cbrt (* (cbrt y) (cbrt y))))) (log (/ (sqrt x) (cbrt (cbrt y)))) (log (/ (sqrt x) (cbrt (sqrt y)))) (log (/ (sqrt x) (cbrt (sqrt y)))) (log (sqrt x)) (log (/ (sqrt x) (cbrt y))) (log (/ (sqrt x) (* (cbrt (cbrt y)) (cbrt (cbrt y))))) (log (/ (sqrt x) (cbrt (cbrt y)))) (log (/ (sqrt x) (sqrt (cbrt y)))) (log (/ (sqrt x) (sqrt (cbrt y)))) (log (sqrt x)) (log (/ (sqrt x) (cbrt y))) (log (/ 1 (cbrt (* (cbrt y) (cbrt y))))) (log (/ x (cbrt (cbrt y)))) (log (/ 1 (cbrt (sqrt y)))) (log (/ x (cbrt (sqrt y)))) 0 (log (/ x (cbrt y))) (* (- 2) (log (cbrt (cbrt y)))) (log (/ x (cbrt (cbrt y)))) (log (/ 1 (sqrt (cbrt y)))) (log (/ x (sqrt (cbrt y)))) 0 (log (/ x (cbrt y))) 0 (log (/ x (cbrt y))) (log x) (log (/ 1 (cbrt y))) (log x) (log (cbrt y)) (log (/ x (cbrt y))) (log (log (/ x (cbrt y)))) (/ x (cbrt y)) (* (cbrt (log (/ x (cbrt y)))) (cbrt (log (/ x (cbrt y))))) (cbrt (log (/ x (cbrt y)))) (pow (log (/ x (cbrt y))) 3) (sqrt (log (/ x (cbrt y)))) (sqrt (log (/ x (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)) 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)) 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)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (fma -1/3 (log y) (log x)) (log (/ x (cbrt y))) (+ (log (* (pow (/ -1 y) 1/3) (/ 1 (cbrt -1)))) (log 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)) 3.974 * * * [progress]: adding candidates to table 4.305 * [progress]: [Phase 3 of 3] Extracting. 4.305 * * [regime]: Finding splitpoints for: (# # # # # # #) 4.307 * * * [regime-changes]: Trying 5 branch expressions: ((* x (log (/ x y))) (- (* x (log (/ x y))) z) z y x) 4.307 * * * * [regimes]: Trying to branch on (* x (log (/ x y))) from (# # # # # # #) 4.347 * * * * [regimes]: Trying to branch on (* x (log (/ x y))) from (# #) 4.365 * * * * [regimes]: Trying to branch on (- (* x (log (/ x y))) z) from (# # # # # # #) 4.403 * * * * [regimes]: Trying to branch on z from (# # # # # # #) 4.439 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 4.471 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 4.506 * * * [regime]: Found split indices: #