13.750 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.013 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.015 * [simplify]: Simplified to: (/ x (+ y x)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.016 * * * * [pick]: Picked # 0.016 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of (+ x y) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.039 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.051 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.064 * * * [progress]: simplifying candidates 0.064 * [simplify]: Simplifying using # : (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.068 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.070 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.076 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.092 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.138 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.140 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.140 * * * [progress]: adding candidates to table 0.187 * * [progress]: iteration 2 / 4 0.187 * * * [progress]: picking best candidate 0.191 * * * * [pick]: Picked # 0.192 * * * [progress]: localizing error 0.196 * * * [progress]: generating rewritten candidates 0.196 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.205 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.213 * * * [progress]: generating series expansions 0.213 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.213 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (+ x y) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (+ x y) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (+ x y) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.225 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.225 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.225 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.226 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.227 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of 1 in y 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.242 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.242 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.242 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.244 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of 1 in y 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.255 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.255 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 0.255 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.255 * [taylor]: Taking taylor expansion of (+ x y) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.255 * [taylor]: Taking taylor expansion of (+ x y) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.255 * [taylor]: Taking taylor expansion of (+ x y) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.265 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.266 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of 1 in x 0.269 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.275 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.275 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.275 * [taylor]: Taking taylor expansion of -1 in x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.276 * [taylor]: Taking taylor expansion of -1 in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.277 * [taylor]: Taking taylor expansion of -1 in y 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of -1 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.285 * * * [progress]: simplifying candidates 0.286 * [simplify]: Simplifying using # : (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.290 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.295 * * [simplify]: iteration 1 : 1013 enodes (cost 310 ) 0.311 * * [simplify]: iteration 2 : 3518 enodes (cost 272 ) 0.343 * * [simplify]: iteration 3 : 5002 enodes (cost 272 ) 0.347 * [simplify]: Simplified to: (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (/ x (+ y x)) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (exp (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x x x (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (/ (cbrt x) (+ y x)) (/ (sqrt x) (+ y x)) (/ x (+ y x)) x (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 1) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (+ y x)) (+ y x) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.348 * * * [progress]: adding candidates to table 0.449 * * [progress]: iteration 3 / 4 0.449 * * * [progress]: picking best candidate 0.452 * * * * [pick]: Picked # 0.453 * * * [progress]: localizing error 0.464 * * * [progress]: generating rewritten candidates 0.464 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.465 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.466 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.467 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.471 * * * [progress]: generating series expansions 0.471 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.471 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.471 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.471 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.471 * [taylor]: Taking taylor expansion of 1/3 in x 0.471 * [taylor]: Taking taylor expansion of (log x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.472 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.472 * [taylor]: Taking taylor expansion of 1/3 in x 0.472 * [taylor]: Taking taylor expansion of (log x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.525 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.525 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.525 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.525 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.525 * [taylor]: Taking taylor expansion of 1/3 in x 0.525 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of 1/3 in x 0.526 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.577 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.577 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.577 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.577 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.578 * [taylor]: Taking taylor expansion of 1/3 in x 0.578 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.579 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.579 * [taylor]: Taking taylor expansion of -1 in x 0.579 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.579 * [taylor]: Taking taylor expansion of 1/3 in x 0.579 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.646 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.646 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.646 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.646 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.646 * [taylor]: Taking taylor expansion of 1/3 in x 0.646 * [taylor]: Taking taylor expansion of (log x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.646 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.646 * [taylor]: Taking taylor expansion of 1/3 in x 0.646 * [taylor]: Taking taylor expansion of (log x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.699 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.699 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.699 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.699 * [taylor]: Taking taylor expansion of 1/3 in x 0.699 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.700 * [taylor]: Taking taylor expansion of 1/3 in x 0.700 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.763 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.763 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.763 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.763 * [taylor]: Taking taylor expansion of -1 in x 0.764 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.765 * [taylor]: Taking taylor expansion of 1/3 in x 0.765 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.766 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.766 * [taylor]: Taking taylor expansion of -1 in x 0.767 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.767 * [taylor]: Taking taylor expansion of 1/3 in x 0.767 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.839 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.839 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.839 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.839 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.839 * [taylor]: Taking taylor expansion of 1/3 in x 0.839 * [taylor]: Taking taylor expansion of (log x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.840 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.840 * [taylor]: Taking taylor expansion of 1/3 in x 0.840 * [taylor]: Taking taylor expansion of (log x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.885 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.885 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.885 * [taylor]: Taking taylor expansion of 1/3 in x 0.885 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.886 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.886 * [taylor]: Taking taylor expansion of 1/3 in x 0.886 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.941 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.941 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.941 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.941 * [taylor]: Taking taylor expansion of -1 in x 0.942 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.942 * [taylor]: Taking taylor expansion of 1/3 in x 0.942 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.943 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.943 * [taylor]: Taking taylor expansion of -1 in x 0.943 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.943 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.943 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.943 * [taylor]: Taking taylor expansion of 1/3 in x 0.943 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.943 * [taylor]: Taking taylor expansion of x in x 1.009 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.010 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/3) in (y x) around 0 1.010 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in x 1.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in x 1.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in x 1.010 * [taylor]: Taking taylor expansion of 1/3 in x 1.010 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 1.010 * [taylor]: Taking taylor expansion of (+ x y) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of y in x 1.010 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 1.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in y 1.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in y 1.010 * [taylor]: Taking taylor expansion of 1/3 in y 1.010 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 1.010 * [taylor]: Taking taylor expansion of (+ x y) in y 1.010 * [taylor]: Taking taylor expansion of x in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.010 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/3) in y 1.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x y)))) in y 1.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x y))) in y 1.010 * [taylor]: Taking taylor expansion of 1/3 in y 1.010 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 1.010 * [taylor]: Taking taylor expansion of (+ x y) in y 1.010 * [taylor]: Taking taylor expansion of x in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.010 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.010 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.010 * [taylor]: Taking taylor expansion of 1/3 in x 1.010 * [taylor]: Taking taylor expansion of (log x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) in x 1.012 * [taylor]: Taking taylor expansion of 1/3 in x 1.012 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.012 * [taylor]: Taking taylor expansion of 1/3 in x 1.012 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow x 5)) 1/3)) in x 1.017 * [taylor]: Taking taylor expansion of -1/9 in x 1.017 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 5)) 1/3) in x 1.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 5))))) in x 1.017 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 5)))) in x 1.017 * [taylor]: Taking taylor expansion of 1/3 in x 1.017 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 5))) in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.017 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.019 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in (y x) around 0 1.019 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 1.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 1.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 1.019 * [taylor]: Taking taylor expansion of 1/3 in x 1.019 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 1.020 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.020 * [taylor]: Taking taylor expansion of y in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 1.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 1.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 1.021 * [taylor]: Taking taylor expansion of 1/3 in y 1.021 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 1.021 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.021 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.021 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.021 * [taylor]: Taking taylor expansion of x in y 1.022 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 1.022 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 1.022 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 1.022 * [taylor]: Taking taylor expansion of 1/3 in y 1.022 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 1.022 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.022 * [taylor]: Taking taylor expansion of x in y 1.023 * [taylor]: Taking taylor expansion of (pow y -1/3) in x 1.023 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log y))) in x 1.023 * [taylor]: Taking taylor expansion of (* -1/3 (log y)) in x 1.023 * [taylor]: Taking taylor expansion of -1/3 in x 1.023 * [taylor]: Taking taylor expansion of (log y) in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.025 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 x) (pow (/ 1 y) 1/3))) in x 1.025 * [taylor]: Taking taylor expansion of 1/3 in x 1.025 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (/ 1 y) 1/3)) in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.025 * [taylor]: Taking taylor expansion of 1/3 in x 1.025 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.025 * [taylor]: Taking taylor expansion of y in x 1.031 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) in x 1.032 * [taylor]: Taking taylor expansion of -1/9 in x 1.032 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3)) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.032 * [taylor]: Taking taylor expansion of 1/3 in x 1.032 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.049 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ 1 (pow x 3)) (pow (/ 1 y) 1/3))) in x 1.049 * [taylor]: Taking taylor expansion of 5/81 in x 1.049 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (pow (/ 1 y) 1/3)) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.049 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.050 * [taylor]: Taking taylor expansion of 1/3 in x 1.050 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.050 * [taylor]: Taking taylor expansion of y in x 1.069 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in (y x) around 0 1.070 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in x 1.070 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.070 * [taylor]: Taking taylor expansion of -1 in x 1.070 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in x 1.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in x 1.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in x 1.070 * [taylor]: Taking taylor expansion of 1/3 in x 1.070 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 1.072 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.072 * [taylor]: Taking taylor expansion of -1 in y 1.072 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 1.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 1.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 1.072 * [taylor]: Taking taylor expansion of 1/3 in y 1.072 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.073 * [taylor]: Taking taylor expansion of x in y 1.074 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 y) (/ 1 x)) 1/3)) in y 1.074 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.074 * [taylor]: Taking taylor expansion of -1 in y 1.074 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/3) in y 1.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 y) (/ 1 x))))) in y 1.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 y) (/ 1 x)))) in y 1.074 * [taylor]: Taking taylor expansion of 1/3 in y 1.074 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.075 * [taylor]: Taking taylor expansion of x in y 1.076 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in x 1.076 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.076 * [taylor]: Taking taylor expansion of -1 in x 1.077 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.077 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.077 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.077 * [taylor]: Taking taylor expansion of 1/3 in x 1.077 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.079 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) x) (pow (/ 1 y) 1/3))) in x 1.080 * [taylor]: Taking taylor expansion of 1/3 in x 1.080 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) x) (pow (/ 1 y) 1/3)) in x 1.080 * [taylor]: Taking taylor expansion of (/ (cbrt -1) x) in x 1.080 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.080 * [taylor]: Taking taylor expansion of -1 in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.081 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.081 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.081 * [taylor]: Taking taylor expansion of 1/3 in x 1.081 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.081 * [taylor]: Taking taylor expansion of y in x 1.090 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow x 2)) (pow (/ 1 y) 1/3)))) in x 1.090 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow x 2)) (pow (/ 1 y) 1/3))) in x 1.090 * [taylor]: Taking taylor expansion of 1/9 in x 1.090 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow x 2)) (pow (/ 1 y) 1/3)) in x 1.090 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow x 2)) in x 1.090 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.090 * [taylor]: Taking taylor expansion of -1 in x 1.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.092 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.092 * [taylor]: Taking taylor expansion of 1/3 in x 1.092 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.092 * [taylor]: Taking taylor expansion of y in x 1.116 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow x 3)) (pow (/ 1 y) 1/3))) in x 1.116 * [taylor]: Taking taylor expansion of 5/81 in x 1.116 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow x 3)) (pow (/ 1 y) 1/3)) in x 1.116 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow x 3)) in x 1.116 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.116 * [taylor]: Taking taylor expansion of -1 in x 1.117 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in x 1.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in x 1.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in x 1.118 * [taylor]: Taking taylor expansion of 1/3 in x 1.118 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.118 * [taylor]: Taking taylor expansion of y in x 1.135 * * * [progress]: simplifying candidates 1.135 * [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 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 x))) (log1p (cbrt (+ y x))) (log (cbrt (+ y x))) (exp (cbrt (+ y x))) (cbrt (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (cbrt (+ y x))) (cbrt (sqrt (+ y x))) (cbrt (sqrt (+ y x))) (cbrt 1) (cbrt (+ y x)) (cbrt 1) (cbrt (+ y x)) (cbrt (+ (pow y 3) (pow x 3))) (cbrt (+ (* y y) (- (* x x) (* y x)))) (cbrt (- (* y y) (* x x))) (cbrt (- y x)) (* (cbrt (cbrt (+ y x))) (cbrt (cbrt (+ y x)))) (cbrt (cbrt (+ y x))) (* (* (cbrt (+ y x)) (cbrt (+ y x))) (cbrt (+ y x))) (sqrt (cbrt (+ y x))) (sqrt (cbrt (+ y 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)) (- (+ (pow x 1/3) (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) y))) (* 1/9 (* (pow (/ 1 (pow x 5)) 1/3) (pow y 2)))) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 1.139 * * [simplify]: iteration 0 : 154 enodes (cost 222 ) 1.142 * * [simplify]: iteration 1 : 394 enodes (cost 208 ) 1.149 * * [simplify]: iteration 2 : 1287 enodes (cost 199 ) 1.179 * * [simplify]: iteration 3 : 5001 enodes (cost 198 ) 1.181 * [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 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 x))) (log1p (cbrt (+ y x))) (log (cbrt (+ y x))) (exp (cbrt (+ y x))) (cbrt (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (cbrt (+ y x))) (cbrt (sqrt (+ y x))) (cbrt (sqrt (+ y x))) (cbrt 1) (cbrt (+ y x)) (cbrt 1) (cbrt (+ y x)) (cbrt (+ (pow y 3) (pow x 3))) (cbrt (+ (* y y) (- (* x x) (* y x)))) (cbrt (- (* y y) (* x x))) (cbrt (- y x)) (* (cbrt (cbrt (+ y x))) (cbrt (cbrt (+ y x)))) (cbrt (cbrt (+ y x))) (+ y x) (sqrt (cbrt (+ y x))) (sqrt (cbrt (+ y 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)) (fma y (- (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* (* 1/9 (pow (/ 1 (pow x 5)) 1/3)) y)) (pow x 1/3)) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 1.181 * * * [progress]: adding candidates to table 1.382 * * [progress]: iteration 4 / 4 1.382 * * * [progress]: picking best candidate 1.384 * * * * [pick]: Picked # 1.384 * * * [progress]: localizing error 1.390 * * * [progress]: generating rewritten candidates 1.390 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.397 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.404 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.414 * * * [progress]: generating series expansions 1.414 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.414 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.414 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.414 * [taylor]: Taking taylor expansion of x in y 1.414 * [taylor]: Taking taylor expansion of (+ x y) in y 1.414 * [taylor]: Taking taylor expansion of x in y 1.414 * [taylor]: Taking taylor expansion of y in y 1.415 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (+ x y) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of y in x 1.415 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (+ x y) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of y in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.415 * [taylor]: Taking taylor expansion of y in y 1.416 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.416 * [taylor]: Taking taylor expansion of y in y 1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.419 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.419 * [taylor]: Taking taylor expansion of y in y 1.426 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.426 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.426 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.426 * [taylor]: Taking taylor expansion of x in y 1.426 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.426 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.426 * [taylor]: Taking taylor expansion of y in y 1.426 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.426 * [taylor]: Taking taylor expansion of x in y 1.427 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.427 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.427 * [taylor]: Taking taylor expansion of y in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.428 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.428 * [taylor]: Taking taylor expansion of y in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of 1 in y 1.431 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.431 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.431 * [taylor]: Taking taylor expansion of y in y 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.439 * [taylor]: Taking taylor expansion of y in y 1.444 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.444 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.444 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.444 * [taylor]: Taking taylor expansion of x in y 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.444 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.444 * [taylor]: Taking taylor expansion of y in y 1.444 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.444 * [taylor]: Taking taylor expansion of x in y 1.444 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.444 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.444 * [taylor]: Taking taylor expansion of y in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.446 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.446 * [taylor]: Taking taylor expansion of y in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.448 * [taylor]: Taking taylor expansion of 1 in y 1.449 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.449 * [taylor]: Taking taylor expansion of y in y 1.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.453 * [taylor]: Taking taylor expansion of y in y 1.457 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.457 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in (x y) around 0 1.457 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in y 1.457 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.457 * [taylor]: Taking taylor expansion of x in y 1.457 * [taylor]: Taking taylor expansion of (+ x y) in y 1.457 * [taylor]: Taking taylor expansion of x in y 1.457 * [taylor]: Taking taylor expansion of y in y 1.457 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 1.457 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (+ x y) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of y in x 1.457 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 1.457 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (+ x y) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of y in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.457 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.457 * [taylor]: Taking taylor expansion of y in y 1.463 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 4)))) in y 1.463 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.463 * [taylor]: Taking taylor expansion of 3 in y 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.463 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.463 * [taylor]: Taking taylor expansion of y in y 1.473 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 5))) in y 1.473 * [taylor]: Taking taylor expansion of 6 in y 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.473 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.473 * [taylor]: Taking taylor expansion of y in y 1.489 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 1.489 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 1.489 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.489 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.489 * [taylor]: Taking taylor expansion of x in y 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.489 * [taylor]: Taking taylor expansion of y in y 1.489 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.489 * [taylor]: Taking taylor expansion of x in y 1.490 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.490 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.490 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.490 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.490 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.490 * [taylor]: Taking taylor expansion of y in x 1.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.492 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.492 * [taylor]: Taking taylor expansion of y in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of 1 in y 1.495 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 1.495 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 1.495 * [taylor]: Taking taylor expansion of 3 in y 1.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.495 * [taylor]: Taking taylor expansion of y in y 1.501 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.501 * [taylor]: Taking taylor expansion of 6 in y 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.501 * [taylor]: Taking taylor expansion of y in y 1.508 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 1.508 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 1.508 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.508 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.508 * [taylor]: Taking taylor expansion of x in y 1.508 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.508 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.508 * [taylor]: Taking taylor expansion of y in y 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.509 * [taylor]: Taking taylor expansion of x in y 1.509 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.509 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.509 * [taylor]: Taking taylor expansion of y in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.511 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.511 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.511 * [taylor]: Taking taylor expansion of y in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of 1 in y 1.520 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 1.520 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 1.520 * [taylor]: Taking taylor expansion of 3 in y 1.520 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.520 * [taylor]: Taking taylor expansion of y in y 1.525 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.525 * [taylor]: Taking taylor expansion of 6 in y 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.525 * [taylor]: Taking taylor expansion of y in y 1.533 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.533 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.533 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.533 * [taylor]: Taking taylor expansion of x in y 1.533 * [taylor]: Taking taylor expansion of (+ x y) in y 1.533 * [taylor]: Taking taylor expansion of x in y 1.533 * [taylor]: Taking taylor expansion of y in y 1.533 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of (+ x y) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of y in x 1.533 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of (+ x y) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of y in x 1.533 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.533 * [taylor]: Taking taylor expansion of y in y 1.535 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.535 * [taylor]: Taking taylor expansion of y in y 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.538 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.538 * [taylor]: Taking taylor expansion of y in y 1.544 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.545 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.545 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.545 * [taylor]: Taking taylor expansion of x in y 1.545 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.545 * [taylor]: Taking taylor expansion of y in y 1.545 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.545 * [taylor]: Taking taylor expansion of x in y 1.545 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.545 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.545 * [taylor]: Taking taylor expansion of y in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.547 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.547 * [taylor]: Taking taylor expansion of y in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of 1 in y 1.550 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.550 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.553 * [taylor]: Taking taylor expansion of y in y 1.557 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.557 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.557 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.557 * [taylor]: Taking taylor expansion of x in y 1.557 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.557 * [taylor]: Taking taylor expansion of y in y 1.558 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.558 * [taylor]: Taking taylor expansion of x in y 1.558 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.558 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.558 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.560 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.560 * [taylor]: Taking taylor expansion of y in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of 1 in y 1.563 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.563 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.563 * [taylor]: Taking taylor expansion of y in y 1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.566 * [taylor]: Taking taylor expansion of y in y 1.570 * * * [progress]: simplifying candidates 1.572 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (/ x (+ y x)) 3))) (log1p (cbrt (pow (/ x (+ y x)) 3))) (log (cbrt (pow (/ x (+ y x)) 3))) (exp (cbrt (pow (/ x (+ y x)) 3))) (cbrt (pow (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) 3)) (cbrt (pow (cbrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (cbrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) 3)) (cbrt (pow (/ (cbrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (sqrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ x (cbrt (+ y x))) 3)) (cbrt (pow (/ 1 (sqrt (+ y x))) 3)) (cbrt (pow (/ x (sqrt (+ y x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow x 3)) (cbrt (pow (/ 1 (+ y x)) 3)) (cbrt (pow (/ x (+ (pow y 3) (pow x 3))) 3)) (cbrt (pow (+ (* y y) (- (* x x) (* y x))) 3)) (cbrt (pow (/ x (- (* y y) (* x x))) 3)) (cbrt (pow (- y x) 3)) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (cbrt (* (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ x (+ y x)) 3)))) (cbrt (cbrt (pow (/ x (+ y x)) 3))) (cbrt (pow (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) 3)) (cbrt (pow (cbrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (cbrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) 3)) (cbrt (pow (/ (cbrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (sqrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ x (cbrt (+ y x))) 3)) (cbrt (pow (/ 1 (sqrt (+ y x))) 3)) (cbrt (pow (/ x (sqrt (+ y x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow x 3)) (cbrt (pow (/ 1 (+ y x)) 3)) (cbrt (pow (/ x (+ (pow y 3) (pow x 3))) 3)) (cbrt (pow (+ (* y y) (- (* x x) (* y x))) 3)) (cbrt (pow (/ x (- (* y y) (* x x))) 3)) (cbrt (pow (- y x) 3)) (cbrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (sqrt (pow (/ x (+ y x)) 3))) (cbrt (sqrt (pow (/ x (+ y x)) 3))) (cbrt 1) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ x (+ y x)) (/ 3 2))) (cbrt (pow (/ x (+ y x)) (/ 3 2))) (cbrt (pow x 3)) (cbrt (pow (+ y x) 3)) (* (cbrt (cbrt (pow (/ x (+ y x)) 3))) (cbrt (cbrt (pow (/ x (+ y x)) 3)))) (cbrt (cbrt (pow (/ x (+ y x)) 3))) (* (* (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ x (+ y x)) 3))) (cbrt (pow (/ x (+ y x)) 3))) (sqrt (cbrt (pow (/ x (+ y x)) 3))) (sqrt (cbrt (pow (/ x (+ y x)) 3))) (expm1 (pow (/ x (+ y x)) 3)) (log1p (pow (/ x (+ y x)) 3)) (* (- (log x) (log (+ y x))) 3) (* (log (/ x (+ y x))) 3) (* (log (/ x (+ y x))) 3) (* 1 3) (pow (/ x (+ y x)) (* (cbrt 3) (cbrt 3))) (pow (/ x (+ y x)) (sqrt 3)) (pow (/ x (+ y x)) 1) (pow (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) 3) (pow (cbrt (/ x (+ y x))) 3) (pow (sqrt (/ x (+ y x))) 3) (pow (sqrt (/ x (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ (cbrt x) (cbrt (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) 3) (pow (/ (cbrt x) (sqrt (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ y x)) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ y x)) 3) (pow (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ (sqrt x) (cbrt (+ y x))) 3) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ y x)) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ y x)) 3) (pow (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ x (cbrt (+ y x))) 3) (pow (/ 1 (sqrt (+ y x))) 3) (pow (/ x (sqrt (+ y x))) 3) (pow (/ 1 1) 3) (pow (/ x (+ y x)) 3) (pow (/ 1 1) 3) (pow (/ x (+ y x)) 3) (pow 1 3) (pow (/ x (+ y x)) 3) (pow x 3) (pow (/ 1 (+ y x)) 3) (pow (/ x (+ (pow y 3) (pow x 3))) 3) (pow (+ (* y y) (- (* x x) (* y x))) 3) (pow (/ x (- (* y y) (* x x))) 3) (pow (- y x) 3) (* (/ x (+ y x)) (/ x (+ y x))) (log (pow (/ x (+ y x)) 3)) (exp (pow (/ x (+ y x)) 3)) (* (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ x (+ y x)) 3))) (cbrt (pow (/ x (+ y x)) 3)) (* (* (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3)) (pow (/ x (+ y x)) 3)) (pow (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) 3) (pow (cbrt (/ x (+ y x))) 3) (pow (sqrt (/ x (+ y x))) 3) (pow (sqrt (/ x (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ (cbrt x) (cbrt (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) 3) (pow (/ (cbrt x) (sqrt (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ y x)) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ y x)) 3) (pow (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ (sqrt x) (cbrt (+ y x))) 3) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ y x)) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ y x)) 3) (pow (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ x (cbrt (+ y x))) 3) (pow (/ 1 (sqrt (+ y x))) 3) (pow (/ x (sqrt (+ y x))) 3) (pow (/ 1 1) 3) (pow (/ x (+ y x)) 3) (pow (/ 1 1) 3) (pow (/ x (+ y x)) 3) (pow 1 3) (pow (/ x (+ y x)) 3) (pow x 3) (pow (/ 1 (+ y x)) 3) (pow (/ x (+ (pow y 3) (pow x 3))) 3) (pow (+ (* y y) (- (* x x) (* y x))) 3) (pow (/ x (- (* y y) (* x x))) 3) (pow (- y x) 3) (pow x 3) (pow (+ y x) 3) (* (/ x (+ y x)) (/ x (+ y x))) (sqrt (pow (/ x (+ y x)) 3)) (sqrt (pow (/ x (+ y x)) 3)) (pow (/ x (+ y x)) (/ 3 2)) (pow (/ x (+ y x)) (/ 3 2)) (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0 0 0 0 0 0 1.579 * * [simplify]: iteration 0 : 396 enodes (cost 820 ) 1.587 * * [simplify]: iteration 1 : 1788 enodes (cost 741 ) 1.618 * * [simplify]: iteration 2 : 5002 enodes (cost 733 ) 1.623 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) x (/ 1 (+ y x)) (/ x (+ (pow y 3) (pow x 3))) (fma x (- x y) (* y y)) (/ x (- (* y y) (* x x))) (- y x) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (sqrt 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(pow (fma x (- x y) (* y y)) 3) (pow (/ x (- (* y y) (* x x))) 3) (pow (- y x) 3) (pow (/ x (+ y x)) 2) (log (pow (/ x (+ y x)) 3)) (exp (pow (/ x (+ y x)) 3)) (pow (/ x (+ y x)) 2) (/ x (+ y x)) (pow (pow (/ x (+ y x)) 3) 3) (pow (/ x (+ y x)) 2) (/ x (+ y x)) (pow (/ x (+ y x)) 3/2) (pow (/ x (+ y x)) 3/2) (pow (/ x (+ y x)) 2) (/ x (+ y x)) (/ (* x x) (pow (sqrt (+ y x)) 3)) (pow (/ (cbrt x) (sqrt (+ y x))) 3) (* x x) (pow (/ (cbrt x) (+ y x)) 3) (* x x) (pow (/ (cbrt x) (+ y x)) 3) (/ (pow (sqrt x) 3) (* (+ y x) (+ y x))) (/ x (/ (+ y x) (sqrt x))) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (sqrt x) 3) (pow (/ (sqrt x) (+ y x)) 3) (pow (sqrt x) 3) (pow (/ (sqrt x) (+ y x)) 3) (/ 1 (* (+ y x) (+ y x))) (/ (pow x 3) (+ y x)) (pow (/ 1 (sqrt (+ y x))) 3) (pow (/ x (sqrt (+ y x))) 3) 1 (pow (/ x (+ y x)) 3) 1 (pow (/ x (+ y x)) 3) 1 (pow (/ x (+ y x)) 3) (pow x 3) (pow (/ 1 (+ y x)) 3) (pow (/ x (+ (pow y 3) (pow x 3))) 3) (pow (fma x (- x y) (* y y)) 3) (pow (/ x (- (* y y) (* x x))) 3) (pow (- y x) 3) (pow x 3) (pow (+ y x) 3) (pow (/ x (+ y x)) 2) (sqrt (pow (/ x (+ y x)) 3)) (sqrt (pow (/ x (+ y x)) 3)) (pow (/ x (+ y x)) 3/2) (pow (/ x (+ y x)) 3/2) (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0 0 0 0 0 0 1.624 * * * [progress]: adding candidates to table 1.782 * [progress]: [Phase 3 of 3] Extracting. 1.782 * * [regime]: Finding splitpoints for: (# # # #) 1.783 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 1.783 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # # #) 1.795 * * * * [regimes]: Trying to branch on y from (# # # #) 1.813 * * * * [regimes]: Trying to branch on x from (# # # #) 1.827 * * * [regime]: Found split indices: #