22.133 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying using # : (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) 0.039 * * [simplify]: iteration 0 : 24 enodes (cost 7 ) 0.041 * * [simplify]: iteration 1 : 42 enodes (cost 7 ) 0.042 * * [simplify]: iteration 2 : 54 enodes (cost 7 ) 0.044 * * [simplify]: iteration 3 : 54 enodes (cost 7 ) 0.044 * [simplify]: Simplified to: (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.087 * [approximate]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.096 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.110 * [approximate]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in (z t) around 0 0.110 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in t 0.110 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.110 * [taylor]: Taking taylor expansion of z in t 0.110 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.110 * [taylor]: Taking taylor expansion of t in t 0.110 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.110 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.110 * [taylor]: Taking taylor expansion of z in z 0.110 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.110 * [taylor]: Taking taylor expansion of t in z 0.111 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.111 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.111 * [taylor]: Taking taylor expansion of z in z 0.111 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.111 * [taylor]: Taking taylor expansion of t in z 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow t 2)) in t 0.111 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.111 * [taylor]: Taking taylor expansion of t in t 0.112 * [taylor]: Taking taylor expansion of 0 in t 0.114 * [taylor]: Taking taylor expansion of 0 in t 0.116 * [taylor]: Taking taylor expansion of 0 in t 0.119 * [taylor]: Taking taylor expansion of 0 in t 0.119 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.119 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.119 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.119 * [taylor]: Taking taylor expansion of t in t 0.119 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.119 * [taylor]: Taking taylor expansion of z in t 0.119 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.119 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.119 * [taylor]: Taking taylor expansion of t in z 0.119 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.119 * [taylor]: Taking taylor expansion of z in z 0.120 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.120 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.120 * [taylor]: Taking taylor expansion of t in z 0.120 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.120 * [taylor]: Taking taylor expansion of z in z 0.120 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.120 * [taylor]: Taking taylor expansion of t in t 0.121 * [taylor]: Taking taylor expansion of 0 in t 0.123 * [taylor]: Taking taylor expansion of 0 in t 0.126 * [taylor]: Taking taylor expansion of 0 in t 0.126 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.126 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.126 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.126 * [taylor]: Taking taylor expansion of t in t 0.126 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.126 * [taylor]: Taking taylor expansion of z in t 0.126 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.126 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.126 * [taylor]: Taking taylor expansion of t in z 0.126 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.126 * [taylor]: Taking taylor expansion of z in z 0.127 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.127 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.127 * [taylor]: Taking taylor expansion of t in z 0.127 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.127 * [taylor]: Taking taylor expansion of z in z 0.127 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.127 * [taylor]: Taking taylor expansion of t in t 0.128 * [taylor]: Taking taylor expansion of 0 in t 0.130 * [taylor]: Taking taylor expansion of 0 in t 0.133 * [taylor]: Taking taylor expansion of 0 in t 0.133 * * * [progress]: simplifying candidates 0.134 * [simplify]: Simplifying using # : (- (+ (log x) (log x)) (+ (log y) (log y))) (- (+ (log x) (log x)) (log (* y y))) (- (log (* x x)) (+ (log y) (log y))) (- (log (* x x)) (log (* y y))) (log (/ (* x x) (* y y))) (exp (/ (* x x) (* y y))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (* y y) y) (* (* y y) y))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (* y y) (* y y)) (* y y))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) y) (* (* y y) y))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (/ (* x x) (* y y))) (cbrt (/ (* x x) (* y y)))) (cbrt (/ (* x x) (* y y))) (* (* (/ (* x x) (* y y)) (/ (* x x) (* y y))) (/ (* x x) (* y y))) (sqrt (/ (* x x) (* y y))) (sqrt (/ (* x x) (* y y))) (- (* x x)) (- (* y y)) (/ x y) (/ x y) (/ 1 (* y y)) (/ (* y y) (* x x)) (/ (* x x) y) (/ (* y y) x) (- (+ (log z) (log z)) (+ (log t) (log t))) (- (+ (log z) (log z)) (log (* t t))) (- (log (* z z)) (+ (log t) (log t))) (- (log (* z z)) (log (* t t))) (log (/ (* z z) (* t t))) (exp (/ (* z z) (* t t))) (/ (* (* (* z z) z) (* (* z z) z)) (* (* (* t t) t) (* (* t t) t))) (/ (* (* (* z z) z) (* (* z z) z)) (* (* (* t t) (* t t)) (* t t))) (/ (* (* (* z z) (* z z)) (* z z)) (* (* (* t t) t) (* (* t t) t))) (/ (* (* (* z z) (* z z)) (* z z)) (* (* (* t t) (* t t)) (* t t))) (* (cbrt (/ (* z z) (* t t))) (cbrt (/ (* z z) (* t t)))) (cbrt (/ (* z z) (* t t))) (* (* (/ (* z z) (* t t)) (/ (* z z) (* t t))) (/ (* z z) (* t t))) (sqrt (/ (* z z) (* t t))) (sqrt (/ (* z z) (* t t))) (- (* z z)) (- (* t t)) (/ z t) (/ z t) (/ 1 (* t t)) (/ (* t t) (* z z)) (/ (* z z) t) (/ (* t t) z) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) 0.138 * * [simplify]: iteration 0 : 285 enodes (cost 248 ) 0.144 * * [simplify]: iteration 1 : 1335 enodes (cost 170 ) 0.164 * * [simplify]: iteration 2 : 5001 enodes (cost 160 ) 0.165 * [simplify]: Simplified to: (* 2 (log (/ x y))) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (exp (/ (* x x) (* y y))) (pow (/ (* x x) (* y y)) 3) (pow (/ (* x x) (* y y)) 3) (pow (/ (* x x) (* y y)) 3) (pow (/ (* x x) (* y y)) 3) (* (cbrt (/ (* x x) (* y y))) (cbrt (/ (* x x) (* y y)))) (cbrt (/ (* x x) (* y y))) (pow (/ (* x x) (* y y)) 3) (fabs (/ x y)) (fabs (/ x y)) (- (* x x)) (- (* y y)) (/ x y) (/ x y) (/ 1 (* y y)) (/ (* y y) (* x x)) (/ (* x x) y) (/ (* y y) x) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (exp (/ (* z z) (* t t))) (pow (/ (* z z) (* t t)) 3) (pow (/ (* z z) (* t t)) 3) (pow (/ (* z z) (* t t)) 3) (pow (/ (* z z) (* t t)) 3) (* (cbrt (/ (* z z) (* t t))) (cbrt (/ (* z z) (* t t)))) (cbrt (/ (* z z) (* t t))) (pow (/ (* z z) (* t t)) 3) (fabs (/ z t)) (fabs (/ z t)) (- (* z z)) (- (* t t)) (/ z t) (/ z t) (/ 1 (* t t)) (/ (* t t) (* z z)) (/ (* z z) t) (/ (* t t) z) (/ (* x x) (* y y)) (/ (* x x) (* y y)) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (/ (* z z) (* t t)) (/ (* z z) (* t t)) 0.165 * * * [progress]: adding candidates to table 0.236 * * [progress]: iteration 2 / 4 0.237 * * * [progress]: picking best candidate 0.245 * * * * [pick]: Picked # 0.245 * * * [progress]: localizing error 0.253 * * * [progress]: generating rewritten candidates 0.253 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.267 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.295 * * * [progress]: generating series expansions 0.295 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.295 * [approximate]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in (z t) around 0 0.295 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in t 0.295 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.295 * [taylor]: Taking taylor expansion of z in t 0.295 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.295 * [taylor]: Taking taylor expansion of t in t 0.296 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.296 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.296 * [taylor]: Taking taylor expansion of z in z 0.296 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.296 * [taylor]: Taking taylor expansion of t in z 0.296 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.296 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.296 * [taylor]: Taking taylor expansion of z in z 0.296 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.296 * [taylor]: Taking taylor expansion of t in z 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow t 2)) in t 0.297 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.297 * [taylor]: Taking taylor expansion of t in t 0.298 * [taylor]: Taking taylor expansion of 0 in t 0.299 * [taylor]: Taking taylor expansion of 0 in t 0.301 * [taylor]: Taking taylor expansion of 0 in t 0.304 * [taylor]: Taking taylor expansion of 0 in t 0.304 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.304 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.304 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.304 * [taylor]: Taking taylor expansion of t in t 0.304 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.304 * [taylor]: Taking taylor expansion of z in t 0.305 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.305 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.305 * [taylor]: Taking taylor expansion of t in z 0.305 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.305 * [taylor]: Taking taylor expansion of z in z 0.305 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.305 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.305 * [taylor]: Taking taylor expansion of t in z 0.305 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.305 * [taylor]: Taking taylor expansion of z in z 0.306 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.306 * [taylor]: Taking taylor expansion of t in t 0.307 * [taylor]: Taking taylor expansion of 0 in t 0.309 * [taylor]: Taking taylor expansion of 0 in t 0.311 * [taylor]: Taking taylor expansion of 0 in t 0.311 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.311 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.311 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.311 * [taylor]: Taking taylor expansion of t in t 0.311 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.311 * [taylor]: Taking taylor expansion of z in t 0.312 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.312 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.312 * [taylor]: Taking taylor expansion of t in z 0.312 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.312 * [taylor]: Taking taylor expansion of z in z 0.312 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.312 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.312 * [taylor]: Taking taylor expansion of t in z 0.312 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.312 * [taylor]: Taking taylor expansion of z in z 0.313 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.313 * [taylor]: Taking taylor expansion of t in t 0.314 * [taylor]: Taking taylor expansion of 0 in t 0.316 * [taylor]: Taking taylor expansion of 0 in t 0.318 * [taylor]: Taking taylor expansion of 0 in t 0.318 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.318 * [approximate]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in (x y) around 0 0.318 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.327 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.334 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.341 * * * [progress]: simplifying candidates 0.342 * [simplify]: Simplifying using # : (- (+ (log z) (log z)) (+ (log t) (log t))) (- (+ (log z) (log z)) (log (* t t))) (- (log (* z z)) (+ (log t) (log t))) (- (log (* z z)) (log (* t t))) (log (/ (* z z) (* t t))) (exp (/ (* z z) (* t t))) (/ (* (* (* z z) z) (* (* z z) z)) (* (* (* t t) t) (* (* t t) t))) (/ (* (* (* z z) z) (* (* z z) z)) (* (* (* t t) (* t t)) (* t t))) (/ (* (* (* z z) (* z z)) (* z z)) (* (* (* t t) t) (* (* t t) t))) (/ (* (* (* z z) (* z z)) (* z z)) (* (* (* t t) (* t t)) (* t t))) (* (cbrt (/ (* z z) (* t t))) (cbrt (/ (* z z) (* t t)))) (cbrt (/ (* z z) (* t t))) (* (* (/ (* z z) (* t t)) (/ (* z z) (* t t))) (/ (* z z) (* t t))) (sqrt (/ (* z z) (* t t))) (sqrt (/ (* z z) (* t t))) (- (* z z)) (- (* t t)) (/ z t) (/ z t) (/ 1 (* t t)) (/ (* t t) (* z z)) (/ (* z z) t) (/ (* t t) z) (+ 1 1) (* (/ x y) (/ x y)) (+ 1 1) (+ (- (log x) (log y)) (- (log x) (log y))) (+ (- (log x) (log y)) (log (/ x y))) (+ (log (/ x y)) (- (log x) (log y))) (+ (log (/ x y)) (log (/ x y))) (log (* (/ x y) (/ x y))) (exp (* (/ x y) (/ x y))) (* (/ (* (* x x) x) (* (* y y) y)) (/ (* (* x x) x) (* (* y y) y))) (* (/ (* (* x x) x) (* (* y y) y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (/ (* (* x x) x) (* (* y y) y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))) (cbrt (* (/ x y) (/ x y))) (* (* (* (/ x y) (/ x y)) (* (/ x y) (/ x y))) (* (/ x y) (/ x y))) (sqrt (* (/ x y) (/ x y))) (sqrt (* (/ x y) (/ x y))) (* x x) (* y y) (* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (sqrt (/ x y)) (sqrt (/ x y))) (* (sqrt (/ x y)) (sqrt (/ x y))) (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ (cbrt x) (sqrt y)) (/ (cbrt x) (sqrt y))) (* (/ (* (cbrt x) (cbrt x)) 1) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ (cbrt x) y) (/ (cbrt x) y)) (* (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ (sqrt x) (cbrt y)) (/ (sqrt x) (cbrt y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt x) 1) (/ (sqrt x) 1)) (* (/ (sqrt x) y) (/ (sqrt x) y)) (* (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (/ x (cbrt y))) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (* (/ x (sqrt y)) (/ x (sqrt y))) (* (/ 1 1) (/ 1 1)) (* (/ x y) (/ x y)) (* 1 1) (* (/ x y) (/ x y)) (* x x) (* (/ 1 y) (/ 1 y)) (* (sqrt (/ x y)) (sqrt (/ x y))) (* (sqrt (/ x y)) (sqrt (/ x y))) (* (sqrt (/ x y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt x) (sqrt y))) (* 2 1) (* (/ x y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ x y) (sqrt (/ x y))) (* (/ x y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ x y) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ x y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (sqrt x) (sqrt y))) (* (/ x y) (/ (sqrt x) 1)) (* (/ x y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x y) (/ 1 (sqrt y))) (* (/ x y) (/ 1 1)) (* (/ x y) 1) (* (/ x y) x) (* (cbrt (/ x y)) (/ x y)) (* (sqrt (/ x y)) (/ x y)) (* (/ (cbrt x) (cbrt y)) (/ x y)) (* (/ (cbrt x) (sqrt y)) (/ x y)) (* (/ (cbrt x) y) (/ x y)) (* (/ (sqrt x) (cbrt y)) (/ x y)) (* (/ (sqrt x) (sqrt y)) (/ x y)) (* (/ (sqrt x) y) (/ x y)) (* (/ x (cbrt y)) (/ x y)) (* (/ x (sqrt y)) (/ x y)) (* (/ x y) (/ x y)) (* (/ x y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ x y) x) (* x (/ x y)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) 0.347 * * [simplify]: iteration 0 : 482 enodes (cost 529 ) 0.356 * * [simplify]: iteration 1 : 2387 enodes (cost 434 ) 0.392 * * [simplify]: iteration 2 : 5001 enodes (cost 394 ) 0.394 * [simplify]: Simplified to: (log (/ (* z z) (* t t))) (log (/ (* z z) (* t t))) (log (/ (* z z) (* t t))) (log (/ (* z z) (* t t))) (log (/ (* z z) (* t t))) (exp (/ (* z z) (* t t))) (pow (/ (* z z) (* t t)) 3) (pow (/ (* z z) (* t t)) 3) (pow (/ (* z z) (* t t)) 3) (pow (/ (* z z) (* t t)) 3) (* (cbrt (/ (* z z) (* t t))) (cbrt (/ (* z z) (* t t)))) (cbrt (/ (* z z) (* t t))) (pow (/ (* z z) (* t t)) 3) (fabs (/ z t)) (fabs (/ z t)) (- (* z z)) (- (* t t)) (/ z t) (/ z t) (/ 1 (* t t)) (/ (* t t) (* z z)) (/ (* z z) t) (/ (* t t) z) 2 (/ (pow x 2) (pow y 2)) 2 (* 2 (log (/ x y))) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (exp (* (/ x y) (/ x y))) (pow (* (/ x y) (/ x y)) 3) (pow (* (/ x y) (/ x y)) 3) (pow (* (/ x y) (/ x y)) 3) (pow (* (/ x y) (/ x y)) 3) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))) (cbrt (* (/ x y) (/ x y))) (pow (* (/ x y) (/ x y)) 3) (fabs (/ x y)) (fabs (/ x y)) (pow x 2) (pow y 2) (pow (cbrt (/ x y)) 4) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ x y) (/ x y) (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (cbrt x) (/ (cbrt x) y)) (* (/ (cbrt x) 1) (/ (pow (cbrt x) 3) 1)) (* (/ (cbrt x) y) (/ (cbrt x) y)) (/ (/ (/ x (* (cbrt y) (cbrt y))) (cbrt y)) (cbrt y)) (/ x (* (cbrt y) (cbrt y))) (/ x y) (/ x y) x (/ (/ x y) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (/ x (cbrt y))) (/ 1 y) (* x (/ x y)) 1 (/ (pow x 2) (pow y 2)) 1 (/ (pow x 2) (pow y 2)) (pow x 2) (/ (/ 1 y) y) (/ x y) (/ x y) (* (sqrt (/ x y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt x) (sqrt y))) (/ x y) (/ x y) 2 (* (/ x y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (pow (sqrt (/ x y)) 3) (* (/ x y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (* x (* (cbrt x) (cbrt x))) y) (* (/ x y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (sqrt x) (sqrt y))) (/ (* x (sqrt x)) y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ x y) (* x (/ x y)) (pow (cbrt (/ x y)) 4) (pow (sqrt (/ x y)) 3) (* (/ (cbrt x) (cbrt y)) (/ x y)) (* (/ (cbrt x) (sqrt y)) (/ x y)) (* (/ (cbrt x) y) (/ x y)) (* (/ (sqrt x) (cbrt y)) (/ x y)) (* (/ x y) (/ (sqrt x) (sqrt y))) (* (/ (sqrt x) y) (/ x y)) (* (/ x (cbrt y)) (/ x y)) (* (/ x (sqrt y)) (/ x y)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (/ x y) y) (* x (/ x y)) (* x (/ x y)) (/ (* z z) (* t t)) (/ (* z z) (* t t)) (/ (* z z) (* t t)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) 0.397 * * * [progress]: adding candidates to table 0.557 * * [progress]: iteration 3 / 4 0.557 * * * [progress]: picking best candidate 0.580 * * * * [pick]: Picked # 0.580 * * * [progress]: localizing error 0.588 * * * [progress]: generating rewritten candidates 0.588 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.610 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.641 * * * [progress]: generating series expansions 0.642 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.642 * [approximate]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in (x y) around 0 0.642 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.646 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.651 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.651 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.652 * [taylor]: Taking taylor expansion of x in y 0.652 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.658 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.665 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.665 * [approximate]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in (z t) around 0 0.665 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in t 0.665 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.665 * [taylor]: Taking taylor expansion of z in t 0.665 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.665 * [taylor]: Taking taylor expansion of t in t 0.666 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.666 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.666 * [taylor]: Taking taylor expansion of z in z 0.666 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.666 * [taylor]: Taking taylor expansion of t in z 0.666 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.666 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.666 * [taylor]: Taking taylor expansion of z in z 0.666 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.666 * [taylor]: Taking taylor expansion of t in z 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow t 2)) in t 0.667 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.667 * [taylor]: Taking taylor expansion of t in t 0.668 * [taylor]: Taking taylor expansion of 0 in t 0.669 * [taylor]: Taking taylor expansion of 0 in t 0.672 * [taylor]: Taking taylor expansion of 0 in t 0.674 * [taylor]: Taking taylor expansion of 0 in t 0.675 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.675 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.675 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.675 * [taylor]: Taking taylor expansion of t in t 0.675 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.675 * [taylor]: Taking taylor expansion of z in t 0.675 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.675 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.675 * [taylor]: Taking taylor expansion of t in z 0.675 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.675 * [taylor]: Taking taylor expansion of z in z 0.675 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.676 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.676 * [taylor]: Taking taylor expansion of t in z 0.676 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.676 * [taylor]: Taking taylor expansion of z in z 0.676 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.676 * [taylor]: Taking taylor expansion of t in t 0.677 * [taylor]: Taking taylor expansion of 0 in t 0.679 * [taylor]: Taking taylor expansion of 0 in t 0.681 * [taylor]: Taking taylor expansion of 0 in t 0.682 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.682 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.682 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.682 * [taylor]: Taking taylor expansion of t in t 0.682 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.682 * [taylor]: Taking taylor expansion of z in t 0.682 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.682 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.682 * [taylor]: Taking taylor expansion of t in z 0.682 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.682 * [taylor]: Taking taylor expansion of z in z 0.682 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.683 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.683 * [taylor]: Taking taylor expansion of t in z 0.683 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.683 * [taylor]: Taking taylor expansion of z in z 0.683 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.683 * [taylor]: Taking taylor expansion of t in t 0.684 * [taylor]: Taking taylor expansion of 0 in t 0.686 * [taylor]: Taking taylor expansion of 0 in t 0.692 * [taylor]: Taking taylor expansion of 0 in t 0.692 * * * [progress]: simplifying candidates 0.694 * [simplify]: Simplifying using # : (+ 1 1) (* (/ x y) (/ x y)) (+ 1 1) (+ (- (log x) (log y)) (- (log x) (log y))) (+ (- (log x) (log y)) (log (/ x y))) (+ (log (/ x y)) (- (log x) (log y))) (+ (log (/ x y)) (log (/ x y))) (log (* (/ x y) (/ x y))) (exp (* (/ x y) (/ x y))) (* (/ (* (* x x) x) (* (* y y) y)) (/ (* (* x x) x) (* (* y y) y))) (* (/ (* (* x x) x) (* (* y y) y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (/ (* (* x x) x) (* (* y y) y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))) (cbrt (* (/ x y) (/ x y))) (* (* (* (/ x y) (/ x y)) (* (/ x y) (/ x y))) (* (/ x y) (/ x y))) (sqrt (* (/ x y) (/ x y))) (sqrt (* (/ x y) (/ x y))) (* x x) (* y y) (* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (sqrt (/ x y)) (sqrt (/ x y))) (* (sqrt (/ x y)) (sqrt (/ x y))) (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ (cbrt x) (sqrt y)) (/ (cbrt x) (sqrt y))) (* (/ (* (cbrt x) (cbrt x)) 1) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ (cbrt x) y) (/ (cbrt x) y)) (* (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ (sqrt x) (cbrt y)) (/ (sqrt x) (cbrt y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt x) 1) (/ (sqrt x) 1)) (* (/ (sqrt x) y) (/ (sqrt x) y)) (* (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (/ x (cbrt y))) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (* (/ x (sqrt y)) (/ x (sqrt y))) (* (/ 1 1) (/ 1 1)) (* (/ x y) (/ x y)) (* 1 1) (* (/ x y) (/ x y)) (* x x) (* (/ 1 y) (/ 1 y)) (* (sqrt (/ x y)) (sqrt (/ x y))) (* (sqrt (/ x y)) (sqrt (/ x y))) (* (sqrt (/ x y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt x) (sqrt y))) (* 2 1) (* (/ x y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ x y) (sqrt (/ x y))) (* (/ x y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ x y) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ x y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (sqrt x) (sqrt y))) (* (/ x y) (/ (sqrt x) 1)) (* (/ x y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x y) (/ 1 (sqrt y))) (* (/ x y) (/ 1 1)) (* (/ x y) 1) (* (/ x y) x) (* (cbrt (/ x y)) (/ x y)) (* (sqrt (/ x y)) (/ x y)) (* (/ (cbrt x) (cbrt y)) (/ x y)) (* (/ (cbrt x) (sqrt y)) (/ x y)) (* (/ (cbrt x) y) (/ x y)) (* (/ (sqrt x) (cbrt y)) (/ x y)) (* (/ (sqrt x) (sqrt y)) (/ x y)) (* (/ (sqrt x) y) (/ x y)) (* (/ x (cbrt y)) (/ x y)) (* (/ x (sqrt y)) (/ x y)) (* (/ x y) (/ x y)) (* (/ x y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ x y) x) (* x (/ x y)) (+ 1 1) (* (/ z t) (/ z t)) (+ 1 1) (+ (- (log z) (log t)) (- (log z) (log t))) (+ (- (log z) (log t)) (log (/ z t))) (+ (log (/ z t)) (- (log z) (log t))) (+ (log (/ z t)) (log (/ z t))) (log (* (/ z t) (/ z t))) (exp (* (/ z t) (/ z t))) (* (/ (* (* z z) z) (* (* t t) t)) (/ (* (* z z) z) (* (* t t) t))) (* (/ (* (* z z) z) (* (* t t) t)) (* (* (/ z t) (/ z t)) (/ z t))) (* (* (* (/ z t) (/ z t)) (/ z t)) (/ (* (* z z) z) (* (* t t) t))) (* (* (* (/ z t) (/ z t)) (/ z t)) (* (* (/ z t) (/ z t)) (/ z t))) (* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t)))) (cbrt (* (/ z t) (/ z t))) (* (* (* (/ z t) (/ z t)) (* (/ z t) (/ z t))) (* (/ z t) (/ z t))) (sqrt (* (/ z t) (/ z t))) (sqrt (* (/ z t) (/ z t))) (* z z) (* t t) (* (* (cbrt (/ z t)) (cbrt (/ z t))) (* (cbrt (/ z t)) (cbrt (/ z t)))) (* (cbrt (/ z t)) (cbrt (/ z t))) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (* (/ (* (cbrt z) (cbrt z)) (sqrt t)) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (* (/ (cbrt z) (sqrt t)) (/ (cbrt z) (sqrt t))) (* (/ (* (cbrt z) (cbrt z)) 1) (/ (* (cbrt z) (cbrt z)) 1)) (* (/ (cbrt z) t) (/ (cbrt z) t)) (* (/ (sqrt z) (* (cbrt t) (cbrt t))) (/ (sqrt z) (* (cbrt t) (cbrt t)))) (* (/ (sqrt z) (cbrt t)) (/ (sqrt z) (cbrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) 1) (/ (sqrt z) 1)) (* (/ (sqrt z) t) (/ (sqrt z) t)) (* (/ 1 (* (cbrt t) (cbrt t))) (/ 1 (* (cbrt t) (cbrt t)))) (* (/ z (cbrt t)) (/ z (cbrt t))) (* (/ 1 (sqrt t)) (/ 1 (sqrt t))) (* (/ z (sqrt t)) (/ z (sqrt t))) (* (/ 1 1) (/ 1 1)) (* (/ z t) (/ z t)) (* 1 1) (* (/ z t) (/ z t)) (* z z) (* (/ 1 t) (/ 1 t)) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (sqrt (/ z t)) (sqrt (/ z t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (sqrt (/ z t))) (* (/ (sqrt z) (sqrt t)) (sqrt (/ z t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* 2 1) (* (/ z t) (* (cbrt (/ z t)) (cbrt (/ z t)))) (* (/ z t) (sqrt (/ z t))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) 1)) (* (/ z t) (/ (sqrt z) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (sqrt z) (sqrt t))) (* (/ z t) (/ (sqrt z) 1)) (* (/ z t) (/ 1 (* (cbrt t) (cbrt t)))) (* (/ z t) (/ 1 (sqrt t))) (* (/ z t) (/ 1 1)) (* (/ z t) 1) (* (/ z t) z) (* (cbrt (/ z t)) (/ z t)) (* (sqrt (/ z t)) (/ z t)) (* (/ (cbrt z) (cbrt t)) (/ z t)) (* (/ (cbrt z) (sqrt t)) (/ z t)) (* (/ (cbrt z) t) (/ z t)) (* (/ (sqrt z) (cbrt t)) (/ z t)) (* (/ (sqrt z) (sqrt t)) (/ z t)) (* (/ (sqrt z) t) (/ z t)) (* (/ z (cbrt t)) (/ z t)) (* (/ z (sqrt t)) (/ z t)) (* (/ z t) (/ z t)) (* (/ z t) (/ z t)) (* (/ 1 t) (/ z t)) (* (/ z t) z) (* z (/ z t)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) 0.701 * * [simplify]: iteration 0 : 668 enodes (cost 810 ) 0.712 * * [simplify]: iteration 1 : 3378 enodes (cost 698 ) 0.767 * * [simplify]: iteration 2 : 5002 enodes (cost 664 ) 0.771 * [simplify]: Simplified to: 2 (/ (pow x 2) (pow y 2)) 2 (* 2 (log (/ x y))) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (* 2 (log (/ x y))) (exp (* (/ x y) (/ x y))) (pow (* (/ x y) (/ x y)) 3) (pow (* (/ x y) (/ x y)) 3) (pow (* (/ x y) (/ x y)) 3) (pow (* (/ x y) (/ x y)) 3) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))) (cbrt (* (/ x y) (/ x y))) (pow (* (/ x y) (/ x y)) 3) (fabs (/ x y)) (fabs (/ x y)) (pow x 2) (pow y 2) (pow (cbrt (/ x y)) 4) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ x y) (/ x y) (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ (cbrt x) (sqrt y)) (/ (cbrt x) (sqrt y))) (* (/ (cbrt x) 1) (/ (pow (cbrt x) 3) 1)) (* (/ (cbrt x) y) (/ (cbrt x) y)) (/ (/ (/ x (* (cbrt y) (cbrt y))) (cbrt y)) (cbrt y)) (/ x (* (cbrt y) (cbrt y))) (/ x y) (/ x y) x (/ (/ x y) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (/ x (cbrt y))) (/ (/ 1 (sqrt y)) (pow y 1/2)) (* (/ x (sqrt y)) (/ x (sqrt y))) 1 (/ (pow x 2) (pow y 2)) 1 (/ (pow x 2) (pow y 2)) (pow x 2) (* (/ 1 y) (/ 1 y)) (/ x y) (/ x y) (* (sqrt (/ x y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt x) (sqrt y))) (/ x y) (/ x y) 2 (* (/ x y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (pow (sqrt (/ x y)) 3) (* (/ x y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (* x (* (cbrt x) (cbrt x))) y) (* (/ x y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (sqrt x) (sqrt y))) (/ (* x (sqrt x)) y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ x y) (* x (/ x y)) (pow (cbrt (/ x y)) 4) (pow (sqrt (/ x y)) 3) (* (/ (cbrt x) (cbrt y)) (/ x y)) (* (/ (cbrt x) (sqrt y)) (/ x y)) (* (/ (cbrt x) y) (/ x y)) (* (/ (sqrt x) (cbrt y)) (/ x y)) (* (/ x y) (/ (sqrt x) (sqrt y))) (* (/ (sqrt x) y) (/ x y)) (* (/ x (cbrt y)) (/ x y)) (* (/ x (sqrt y)) (/ x y)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (/ x y) y) (* x (/ x y)) (* x (/ x y)) 2 (/ (pow z 2) (pow t 2)) 2 (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (* 2 (log (/ z t))) (exp (* (/ z t) (/ z t))) (pow (* (/ z t) (/ z t)) 3) (pow (* (/ z t) (/ z t)) 3) (pow (* (/ z t) (/ z t)) 3) (pow (* (/ z t) (/ z t)) 3) (* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t)))) (cbrt (* (/ z t) (/ z t))) (pow (* (/ z t) (/ z t)) 3) (fabs (/ z t)) (fabs (/ z t)) (pow z 2) (pow t 2) (pow (cbrt (/ z t)) 4) (* (cbrt (/ z t)) (cbrt (/ z t))) (/ z t) (/ z t) (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (* (cbrt z) (cbrt z)) (sqrt t)) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (* (/ (cbrt z) (sqrt t)) (/ (cbrt z) (sqrt t))) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (/ (cbrt z) t) (/ (cbrt z) t)) (/ (/ (/ z (* (cbrt t) (cbrt t))) (cbrt t)) (cbrt t)) (/ z (* (cbrt t) (cbrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) z (/ (/ z t) t) (/ (/ 1 (* (cbrt t) (cbrt t))) (* (cbrt t) (cbrt t))) (* (/ z (cbrt t)) (/ z (cbrt t))) (* (/ 1 (sqrt t)) (/ 1 (sqrt t))) (* (/ z (sqrt t)) (/ z (sqrt t))) 1 (/ (pow z 2) (pow t 2)) 1 (/ (pow z 2) (pow t 2)) (pow z 2) (* (/ 1 t) (/ 1 t)) (/ z t) (/ z t) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (sqrt (/ z t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) (sqrt t)) (/ (sqrt z) (sqrt t))) 2 (* (/ z t) (* (cbrt (/ z t)) (cbrt (/ z t)))) (pow (sqrt (/ z t)) 3) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (* (cbrt z) (cbrt z)) (sqrt t))) (/ (* z (* (cbrt z) (cbrt z))) t) (* (/ z t) (/ (sqrt z) (* (cbrt t) (cbrt t)))) (* (/ z t) (/ (sqrt z) (sqrt t))) (/ (* z (sqrt z)) t) (/ (/ z t) (* (cbrt t) (cbrt t))) (/ (/ z t) (sqrt t)) (/ z t) (/ z t) (* z (/ z t)) (pow (cbrt (/ z t)) 4) (pow (sqrt (/ z t)) 3) (* (/ (cbrt z) (cbrt t)) (/ z t)) (* (/ (cbrt z) (sqrt t)) (/ z t)) (* (/ (cbrt z) t) (/ z t)) (* (/ (sqrt z) (cbrt t)) (/ z t)) (* (/ z t) (/ (sqrt z) (sqrt t))) (* (/ (sqrt z) t) (/ z t)) (* (/ z (cbrt t)) (/ z t)) (* (/ z (sqrt t)) (/ z t)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (/ z t) t) (* z (/ z t)) (* z (/ z t)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) (/ (pow z 2) (pow t 2)) 0.772 * * * [progress]: adding candidates to table 1.042 * * [progress]: iteration 4 / 4 1.042 * * * [progress]: picking best candidate 1.071 * * * * [pick]: Picked # 1.071 * * * [progress]: localizing error 1.083 * * * [progress]: generating rewritten candidates 1.083 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.092 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.103 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.111 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.127 * * * [progress]: generating series expansions 1.127 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.128 * [approximate]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.128 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in y 1.128 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in y 1.128 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in y 1.128 * [taylor]: Taking taylor expansion of 1/3 in y 1.128 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in y 1.128 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 1.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.128 * [taylor]: Taking taylor expansion of x in y 1.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.128 * [taylor]: Taking taylor expansion of y in y 1.129 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 1.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 1.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 1.129 * [taylor]: Taking taylor expansion of 1/3 in x 1.129 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 1.129 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 1.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.129 * [taylor]: Taking taylor expansion of y in x 1.130 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 1.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 1.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 1.131 * [taylor]: Taking taylor expansion of 1/3 in x 1.131 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 1.131 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 1.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.131 * [taylor]: Taking taylor expansion of y in x 1.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 1.132 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 1.132 * [taylor]: Taking taylor expansion of 1/3 in y 1.132 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 1.132 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.132 * [taylor]: Taking taylor expansion of 2 in y 1.132 * [taylor]: Taking taylor expansion of (log x) in y 1.132 * [taylor]: Taking taylor expansion of x in y 1.132 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.132 * [taylor]: Taking taylor expansion of y in y 1.136 * [taylor]: Taking taylor expansion of 0 in y 1.143 * [taylor]: Taking taylor expansion of 0 in y 1.153 * [taylor]: Taking taylor expansion of 0 in y 1.154 * [approximate]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.154 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 1.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 1.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 1.154 * [taylor]: Taking taylor expansion of 1/3 in y 1.154 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 1.154 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 1.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.154 * [taylor]: Taking taylor expansion of y in y 1.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.154 * [taylor]: Taking taylor expansion of x in y 1.155 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.155 * [taylor]: Taking taylor expansion of 1/3 in x 1.155 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.155 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.155 * [taylor]: Taking taylor expansion of y in x 1.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.156 * [taylor]: Taking taylor expansion of 1/3 in x 1.156 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.156 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.156 * [taylor]: Taking taylor expansion of y in x 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 1.157 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 1.157 * [taylor]: Taking taylor expansion of 1/3 in y 1.157 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 1.157 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.157 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.158 * [taylor]: Taking taylor expansion of 2 in y 1.158 * [taylor]: Taking taylor expansion of (log x) in y 1.158 * [taylor]: Taking taylor expansion of x in y 1.161 * [taylor]: Taking taylor expansion of 0 in y 1.168 * [taylor]: Taking taylor expansion of 0 in y 1.183 * [taylor]: Taking taylor expansion of 0 in y 1.183 * [approximate]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.183 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 1.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 1.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 1.183 * [taylor]: Taking taylor expansion of 1/3 in y 1.183 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 1.183 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 1.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.183 * [taylor]: Taking taylor expansion of y in y 1.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.183 * [taylor]: Taking taylor expansion of x in y 1.184 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.184 * [taylor]: Taking taylor expansion of 1/3 in x 1.184 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.184 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.184 * [taylor]: Taking taylor expansion of y in x 1.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.185 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.185 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.185 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.185 * [taylor]: Taking taylor expansion of 1/3 in x 1.185 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.186 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.186 * [taylor]: Taking taylor expansion of y in x 1.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 1.187 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 1.187 * [taylor]: Taking taylor expansion of 1/3 in y 1.187 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 1.187 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.187 * [taylor]: Taking taylor expansion of y in y 1.187 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.187 * [taylor]: Taking taylor expansion of 2 in y 1.187 * [taylor]: Taking taylor expansion of (log x) in y 1.187 * [taylor]: Taking taylor expansion of x in y 1.191 * [taylor]: Taking taylor expansion of 0 in y 1.198 * [taylor]: Taking taylor expansion of 0 in y 1.208 * [taylor]: Taking taylor expansion of 0 in y 1.209 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.209 * [approximate]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.209 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in y 1.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in y 1.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in y 1.209 * [taylor]: Taking taylor expansion of 1/3 in y 1.209 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in y 1.209 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.209 * [taylor]: Taking taylor expansion of x in y 1.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.210 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 1.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 1.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 1.210 * [taylor]: Taking taylor expansion of 1/3 in x 1.210 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 1.210 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 1.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.210 * [taylor]: Taking taylor expansion of y in x 1.211 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 1.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 1.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 1.211 * [taylor]: Taking taylor expansion of 1/3 in x 1.211 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 1.211 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 1.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.211 * [taylor]: Taking taylor expansion of y in x 1.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 1.212 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 1.212 * [taylor]: Taking taylor expansion of 1/3 in y 1.212 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 1.212 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.212 * [taylor]: Taking taylor expansion of 2 in y 1.212 * [taylor]: Taking taylor expansion of (log x) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.213 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.213 * [taylor]: Taking taylor expansion of y in y 1.216 * [taylor]: Taking taylor expansion of 0 in y 1.223 * [taylor]: Taking taylor expansion of 0 in y 1.234 * [taylor]: Taking taylor expansion of 0 in y 1.234 * [approximate]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.234 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 1.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 1.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 1.234 * [taylor]: Taking taylor expansion of 1/3 in y 1.234 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 1.234 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 1.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.234 * [taylor]: Taking taylor expansion of y in y 1.234 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.234 * [taylor]: Taking taylor expansion of x in y 1.235 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.235 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.235 * [taylor]: Taking taylor expansion of 1/3 in x 1.235 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.235 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.235 * [taylor]: Taking taylor expansion of y in x 1.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.236 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.236 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.236 * [taylor]: Taking taylor expansion of 1/3 in x 1.236 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.236 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.236 * [taylor]: Taking taylor expansion of y in x 1.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 1.237 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 1.237 * [taylor]: Taking taylor expansion of 1/3 in y 1.237 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 1.237 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.237 * [taylor]: Taking taylor expansion of y in y 1.238 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.238 * [taylor]: Taking taylor expansion of 2 in y 1.238 * [taylor]: Taking taylor expansion of (log x) in y 1.238 * [taylor]: Taking taylor expansion of x in y 1.241 * [taylor]: Taking taylor expansion of 0 in y 1.249 * [taylor]: Taking taylor expansion of 0 in y 1.259 * [taylor]: Taking taylor expansion of 0 in y 1.260 * [approximate]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.260 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 1.260 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 1.260 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 1.260 * [taylor]: Taking taylor expansion of 1/3 in y 1.260 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 1.260 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 1.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.260 * [taylor]: Taking taylor expansion of y in y 1.260 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.260 * [taylor]: Taking taylor expansion of x in y 1.261 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.261 * [taylor]: Taking taylor expansion of 1/3 in x 1.261 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.261 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.261 * [taylor]: Taking taylor expansion of y in x 1.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.262 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.262 * [taylor]: Taking taylor expansion of 1/3 in x 1.262 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.262 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.262 * [taylor]: Taking taylor expansion of y in x 1.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 1.263 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 1.263 * [taylor]: Taking taylor expansion of 1/3 in y 1.263 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 1.263 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.263 * [taylor]: Taking taylor expansion of y in y 1.263 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.264 * [taylor]: Taking taylor expansion of 2 in y 1.264 * [taylor]: Taking taylor expansion of (log x) in y 1.264 * [taylor]: Taking taylor expansion of x in y 1.267 * [taylor]: Taking taylor expansion of 0 in y 1.277 * [taylor]: Taking taylor expansion of 0 in y 1.287 * [taylor]: Taking taylor expansion of 0 in y 1.288 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.288 * [approximate]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.288 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in y 1.288 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in y 1.288 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in y 1.288 * [taylor]: Taking taylor expansion of 1/3 in y 1.288 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in y 1.288 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 1.288 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.288 * [taylor]: Taking taylor expansion of x in y 1.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.288 * [taylor]: Taking taylor expansion of y in y 1.289 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 1.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 1.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 1.289 * [taylor]: Taking taylor expansion of 1/3 in x 1.289 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 1.289 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 1.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.289 * [taylor]: Taking taylor expansion of y in x 1.290 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 1.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 1.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 1.290 * [taylor]: Taking taylor expansion of 1/3 in x 1.290 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 1.290 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 1.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.290 * [taylor]: Taking taylor expansion of y in x 1.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 1.291 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 1.291 * [taylor]: Taking taylor expansion of 1/3 in y 1.291 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 1.292 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.292 * [taylor]: Taking taylor expansion of 2 in y 1.292 * [taylor]: Taking taylor expansion of (log x) in y 1.292 * [taylor]: Taking taylor expansion of x in y 1.292 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.292 * [taylor]: Taking taylor expansion of y in y 1.295 * [taylor]: Taking taylor expansion of 0 in y 1.302 * [taylor]: Taking taylor expansion of 0 in y 1.313 * [taylor]: Taking taylor expansion of 0 in y 1.313 * [approximate]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.313 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 1.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 1.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 1.313 * [taylor]: Taking taylor expansion of 1/3 in y 1.313 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 1.313 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 1.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.313 * [taylor]: Taking taylor expansion of y in y 1.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.313 * [taylor]: Taking taylor expansion of x in y 1.314 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.314 * [taylor]: Taking taylor expansion of 1/3 in x 1.314 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.314 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.315 * [taylor]: Taking taylor expansion of y in x 1.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.316 * [taylor]: Taking taylor expansion of 1/3 in x 1.316 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.316 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.316 * [taylor]: Taking taylor expansion of y in x 1.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 1.317 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 1.317 * [taylor]: Taking taylor expansion of 1/3 in y 1.317 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 1.317 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.317 * [taylor]: Taking taylor expansion of y in y 1.317 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.317 * [taylor]: Taking taylor expansion of 2 in y 1.317 * [taylor]: Taking taylor expansion of (log x) in y 1.317 * [taylor]: Taking taylor expansion of x in y 1.320 * [taylor]: Taking taylor expansion of 0 in y 1.328 * [taylor]: Taking taylor expansion of 0 in y 1.338 * [taylor]: Taking taylor expansion of 0 in y 1.339 * [approximate]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.339 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 1.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 1.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 1.339 * [taylor]: Taking taylor expansion of 1/3 in y 1.339 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 1.339 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 1.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.339 * [taylor]: Taking taylor expansion of y in y 1.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.339 * [taylor]: Taking taylor expansion of x in y 1.340 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.340 * [taylor]: Taking taylor expansion of 1/3 in x 1.340 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.340 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.340 * [taylor]: Taking taylor expansion of y in x 1.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.341 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 1.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 1.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 1.341 * [taylor]: Taking taylor expansion of 1/3 in x 1.341 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 1.341 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.341 * [taylor]: Taking taylor expansion of y in x 1.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 1.342 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 1.342 * [taylor]: Taking taylor expansion of 1/3 in y 1.342 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 1.342 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.342 * [taylor]: Taking taylor expansion of y in y 1.343 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.343 * [taylor]: Taking taylor expansion of 2 in y 1.343 * [taylor]: Taking taylor expansion of (log x) in y 1.343 * [taylor]: Taking taylor expansion of x in y 1.346 * [taylor]: Taking taylor expansion of 0 in y 1.353 * [taylor]: Taking taylor expansion of 0 in y 1.367 * [taylor]: Taking taylor expansion of 0 in y 1.367 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.368 * [approximate]: Taking taylor expansion of (pow (/ (pow x 4) (pow y 4)) 1/3) in (x y) around 0 1.368 * [taylor]: Taking taylor expansion of (pow (/ (pow x 4) (pow y 4)) 1/3) in y 1.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 4) (pow y 4))))) in y 1.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 4) (pow y 4)))) in y 1.368 * [taylor]: Taking taylor expansion of 1/3 in y 1.368 * [taylor]: Taking taylor expansion of (log (/ (pow x 4) (pow y 4))) in y 1.368 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow y 4)) in y 1.368 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.368 * [taylor]: Taking taylor expansion of x in y 1.368 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.368 * [taylor]: Taking taylor expansion of y in y 1.369 * [taylor]: Taking taylor expansion of (pow (/ (pow x 4) (pow y 4)) 1/3) in x 1.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 4) (pow y 4))))) in x 1.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 4) (pow y 4)))) in x 1.369 * [taylor]: Taking taylor expansion of 1/3 in x 1.369 * [taylor]: Taking taylor expansion of (log (/ (pow x 4) (pow y 4))) in x 1.369 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow y 4)) in x 1.369 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.369 * [taylor]: Taking taylor expansion of y in x 1.371 * [taylor]: Taking taylor expansion of (pow (/ (pow x 4) (pow y 4)) 1/3) in x 1.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 4) (pow y 4))))) in x 1.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 4) (pow y 4)))) in x 1.371 * [taylor]: Taking taylor expansion of 1/3 in x 1.371 * [taylor]: Taking taylor expansion of (log (/ (pow x 4) (pow y 4))) in x 1.371 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow y 4)) in x 1.371 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.371 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.371 * [taylor]: Taking taylor expansion of y in x 1.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 4 (log x)) (log (/ 1 (pow y 4)))))) in y 1.372 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 4 (log x)) (log (/ 1 (pow y 4))))) in y 1.372 * [taylor]: Taking taylor expansion of 1/3 in y 1.372 * [taylor]: Taking taylor expansion of (+ (* 4 (log x)) (log (/ 1 (pow y 4)))) in y 1.372 * [taylor]: Taking taylor expansion of (* 4 (log x)) in y 1.372 * [taylor]: Taking taylor expansion of 4 in y 1.372 * [taylor]: Taking taylor expansion of (log x) in y 1.372 * [taylor]: Taking taylor expansion of x in y 1.372 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.372 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.372 * [taylor]: Taking taylor expansion of y in y 1.377 * [taylor]: Taking taylor expansion of 0 in y 1.385 * [taylor]: Taking taylor expansion of 0 in y 1.398 * [taylor]: Taking taylor expansion of 0 in y 1.399 * [approximate]: Taking taylor expansion of (pow (/ (pow y 4) (pow x 4)) 1/3) in (x y) around 0 1.399 * [taylor]: Taking taylor expansion of (pow (/ (pow y 4) (pow x 4)) 1/3) in y 1.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 4) (pow x 4))))) in y 1.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 4) (pow x 4)))) in y 1.399 * [taylor]: Taking taylor expansion of 1/3 in y 1.399 * [taylor]: Taking taylor expansion of (log (/ (pow y 4) (pow x 4))) in y 1.399 * [taylor]: Taking taylor expansion of (/ (pow y 4) (pow x 4)) in y 1.399 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.399 * [taylor]: Taking taylor expansion of y in y 1.399 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.399 * [taylor]: Taking taylor expansion of x in y 1.400 * [taylor]: Taking taylor expansion of (pow (/ (pow y 4) (pow x 4)) 1/3) in x 1.400 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 4) (pow x 4))))) in x 1.400 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 4) (pow x 4)))) in x 1.400 * [taylor]: Taking taylor expansion of 1/3 in x 1.400 * [taylor]: Taking taylor expansion of (log (/ (pow y 4) (pow x 4))) in x 1.400 * [taylor]: Taking taylor expansion of (/ (pow y 4) (pow x 4)) in x 1.400 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.400 * [taylor]: Taking taylor expansion of y in x 1.400 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.402 * [taylor]: Taking taylor expansion of (pow (/ (pow y 4) (pow x 4)) 1/3) in x 1.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 4) (pow x 4))))) in x 1.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 4) (pow x 4)))) in x 1.402 * [taylor]: Taking taylor expansion of 1/3 in x 1.402 * [taylor]: Taking taylor expansion of (log (/ (pow y 4) (pow x 4))) in x 1.402 * [taylor]: Taking taylor expansion of (/ (pow y 4) (pow x 4)) in x 1.402 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.402 * [taylor]: Taking taylor expansion of y in x 1.402 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 4)) (* 4 (log x))))) in y 1.403 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 4)) (* 4 (log x)))) in y 1.403 * [taylor]: Taking taylor expansion of 1/3 in y 1.403 * [taylor]: Taking taylor expansion of (- (log (pow y 4)) (* 4 (log x))) in y 1.403 * [taylor]: Taking taylor expansion of (log (pow y 4)) in y 1.403 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.403 * [taylor]: Taking taylor expansion of y in y 1.404 * [taylor]: Taking taylor expansion of (* 4 (log x)) in y 1.404 * [taylor]: Taking taylor expansion of 4 in y 1.404 * [taylor]: Taking taylor expansion of (log x) in y 1.404 * [taylor]: Taking taylor expansion of x in y 1.408 * [taylor]: Taking taylor expansion of 0 in y 1.416 * [taylor]: Taking taylor expansion of 0 in y 1.428 * [taylor]: Taking taylor expansion of 0 in y 1.428 * [approximate]: Taking taylor expansion of (pow (/ (pow y 4) (pow x 4)) 1/3) in (x y) around 0 1.429 * [taylor]: Taking taylor expansion of (pow (/ (pow y 4) (pow x 4)) 1/3) in y 1.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 4) (pow x 4))))) in y 1.429 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 4) (pow x 4)))) in y 1.429 * [taylor]: Taking taylor expansion of 1/3 in y 1.429 * [taylor]: Taking taylor expansion of (log (/ (pow y 4) (pow x 4))) in y 1.429 * [taylor]: Taking taylor expansion of (/ (pow y 4) (pow x 4)) in y 1.429 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.429 * [taylor]: Taking taylor expansion of y in y 1.429 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.429 * [taylor]: Taking taylor expansion of x in y 1.430 * [taylor]: Taking taylor expansion of (pow (/ (pow y 4) (pow x 4)) 1/3) in x 1.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 4) (pow x 4))))) in x 1.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 4) (pow x 4)))) in x 1.430 * [taylor]: Taking taylor expansion of 1/3 in x 1.430 * [taylor]: Taking taylor expansion of (log (/ (pow y 4) (pow x 4))) in x 1.430 * [taylor]: Taking taylor expansion of (/ (pow y 4) (pow x 4)) in x 1.430 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.430 * [taylor]: Taking taylor expansion of y in x 1.430 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of (pow (/ (pow y 4) (pow x 4)) 1/3) in x 1.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 4) (pow x 4))))) in x 1.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 4) (pow x 4)))) in x 1.432 * [taylor]: Taking taylor expansion of 1/3 in x 1.432 * [taylor]: Taking taylor expansion of (log (/ (pow y 4) (pow x 4))) in x 1.432 * [taylor]: Taking taylor expansion of (/ (pow y 4) (pow x 4)) in x 1.432 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.432 * [taylor]: Taking taylor expansion of y in x 1.432 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 4)) (* 4 (log x))))) in y 1.433 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 4)) (* 4 (log x)))) in y 1.433 * [taylor]: Taking taylor expansion of 1/3 in y 1.433 * [taylor]: Taking taylor expansion of (- (log (pow y 4)) (* 4 (log x))) in y 1.433 * [taylor]: Taking taylor expansion of (log (pow y 4)) in y 1.433 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.433 * [taylor]: Taking taylor expansion of y in y 1.434 * [taylor]: Taking taylor expansion of (* 4 (log x)) in y 1.434 * [taylor]: Taking taylor expansion of 4 in y 1.434 * [taylor]: Taking taylor expansion of (log x) in y 1.434 * [taylor]: Taking taylor expansion of x in y 1.438 * [taylor]: Taking taylor expansion of 0 in y 1.446 * [taylor]: Taking taylor expansion of 0 in y 1.461 * [taylor]: Taking taylor expansion of 0 in y 1.462 * * * [progress]: simplifying candidates 1.463 * [simplify]: Simplifying using # : (log (cbrt (* (/ x y) (/ x y)))) (exp (cbrt (* (/ x y) (/ x y)))) (cbrt (/ x y)) (cbrt (/ x y)) (cbrt (* x x)) (cbrt (* y y)) (cbrt (* (/ x y) x)) (cbrt y) (cbrt (* x (/ x y))) (cbrt y) (* (cbrt (cbrt (* (/ x y) (/ x y)))) (cbrt (cbrt (* (/ x y) (/ x y))))) (cbrt (cbrt (* (/ x y) (/ x y)))) (* (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))) (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y)))) (log (cbrt (* (/ x y) (/ x y)))) (exp (cbrt (* (/ x y) (/ x y)))) (cbrt (/ x y)) (cbrt (/ x y)) (cbrt (* x x)) (cbrt (* y y)) (cbrt (* (/ x y) x)) (cbrt y) (cbrt (* x (/ x y))) (cbrt y) (* (cbrt (cbrt (* (/ x y) (/ x y)))) (cbrt (cbrt (* (/ x y) (/ x y))))) (cbrt (cbrt (* (/ x y) (/ x y)))) (* (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))) (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y)))) (log (cbrt (* (/ x y) (/ x y)))) (exp (cbrt (* (/ x y) (/ x y)))) (cbrt (/ x y)) (cbrt (/ x y)) (cbrt (* x x)) (cbrt (* y y)) (cbrt (* (/ x y) x)) (cbrt y) (cbrt (* x (/ x y))) (cbrt y) (* (cbrt (cbrt (* (/ x y) (/ x y)))) (cbrt (cbrt (* (/ x y) (/ x y))))) (cbrt (cbrt (* (/ x y) (/ x y)))) (* (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))) (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y)))) (+ 1/3 1/3) (+ 1 1) (* (* (/ x y) (/ x y)) (* (/ x y) (/ x y))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))) (+ 1 1) (+ (log (cbrt (* (/ x y) (/ x y)))) (log (cbrt (* (/ x y) (/ x y))))) (log (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))) (exp (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))) (* (* (/ x y) (/ x y)) (* (/ x y) (/ x y))) (* (cbrt (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))) (cbrt (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))))) (cbrt (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))) (* (* (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))) (sqrt (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))) (sqrt (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))) (* (cbrt (* x x)) (cbrt (* x x))) (* (cbrt (* y y)) (cbrt (* y y))) (* (cbrt (* x x)) (cbrt (* (/ x y) x))) (* (cbrt (* y y)) (cbrt y)) (* (cbrt (* x x)) (cbrt (* x (/ x y)))) (* (cbrt (* y y)) (cbrt y)) (* (cbrt (* (/ x y) x)) (cbrt (* x x))) (* (cbrt y) (cbrt (* y y))) (* (cbrt (* (/ x y) x)) (cbrt (* (/ x y) x))) (* (cbrt y) (cbrt y)) (* (cbrt (* (/ x y) x)) (cbrt (* x (/ x y)))) (* (cbrt y) (cbrt y)) (* (cbrt (* x (/ x y))) (cbrt (* x x))) (* (cbrt y) (cbrt (* y y))) (* (cbrt (* x (/ x y))) (cbrt (* (/ x y) x))) (* (cbrt y) (cbrt y)) (* (cbrt (* x (/ x y))) (cbrt (* x (/ x y)))) (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (* (cbrt (cbrt (* (/ x y) (/ x y)))) (cbrt (cbrt (* (/ x y) (/ x y))))) (* (cbrt (cbrt (* (/ x y) (/ x y)))) (cbrt (cbrt (* (/ x y) (/ x y)))))) (* (cbrt (cbrt (* (/ x y) (/ x y)))) (cbrt (cbrt (* (/ x y) (/ x y))))) (* (sqrt (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y))))) (* (sqrt (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y))))) (* 1 1) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (sqrt (cbrt (* (/ x y) (/ x y))))) (* (cbrt (/ x y)) (sqrt (cbrt (* (/ x y) (/ x y))))) (* (sqrt (cbrt (* (/ x y) (/ x y)))) (cbrt (/ x y))) (* (sqrt (cbrt (* (/ x y) (/ x y)))) (cbrt (/ x y))) (* (sqrt (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y))))) (* (sqrt (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y))))) (* 2 1/3) (* 2 1) (* (cbrt (* (/ x y) (/ x y))) (cbrt (/ x y))) (* (cbrt (* (/ x y) (/ x y))) (* (cbrt (cbrt (* (/ x y) (/ x y)))) (cbrt (cbrt (* (/ x y) (/ x y)))))) (* (cbrt (* (/ x y) (/ x y))) (sqrt (cbrt (* (/ x y) (/ x y))))) (* (cbrt (* (/ x y) (/ x y))) 1) (* (cbrt (/ x y)) (cbrt (* (/ x y) (/ x y)))) (* (cbrt (cbrt (* (/ x y) (/ x y)))) (cbrt (* (/ x y) (/ x y)))) (* (sqrt (cbrt (* (/ x y) (/ x y)))) (cbrt (* (/ x y) (/ x y)))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* x x))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) x))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* x (/ x y)))) (* (cbrt (* x x)) (cbrt (* (/ x y) (/ x y)))) (* (cbrt (* (/ x y) x)) (cbrt (* (/ x y) (/ x y)))) (* (cbrt (* x (/ x y))) (cbrt (* (/ x y) (/ x y)))) (exp (* 1/3 (- (* 2 (log x)) (* 2 (log y))))) (exp (* 1/3 (- (* 2 (log (/ 1 y))) (* 2 (log (/ 1 x)))))) (exp (* 1/3 (- (* 2 (log (/ -1 y))) (* 2 (log (/ -1 x)))))) (exp (* 1/3 (- (* 2 (log x)) (* 2 (log y))))) (exp (* 1/3 (- (* 2 (log (/ 1 y))) (* 2 (log (/ 1 x)))))) (exp (* 1/3 (- (* 2 (log (/ -1 y))) (* 2 (log (/ -1 x)))))) (exp (* 1/3 (- (* 2 (log x)) (* 2 (log y))))) (exp (* 1/3 (- (* 2 (log (/ 1 y))) (* 2 (log (/ 1 x)))))) (exp (* 1/3 (- (* 2 (log (/ -1 y))) (* 2 (log (/ -1 x)))))) (exp (* 1/3 (- (* 4 (log x)) (* 4 (log y))))) (exp (* 1/3 (- (* 4 (log (/ 1 y))) (* 4 (log (/ 1 x)))))) (exp (* 1/3 (- (* 4 (log (/ -1 y))) (* 4 (log (/ -1 x)))))) 1.469 * * [simplify]: iteration 0 : 197 enodes (cost 733 ) 1.473 * * [simplify]: iteration 1 : 610 enodes (cost 650 ) 1.487 * * [simplify]: iteration 2 : 2523 enodes (cost 587 ) 1.519 * * [simplify]: iteration 3 : 5001 enodes (cost 573 ) 1.522 * [simplify]: Simplified to: (log (cbrt (* (/ x y) (/ x y)))) (exp (cbrt (* (/ x y) (/ x y)))) (cbrt (/ x y)) (cbrt (/ x y)) (cbrt (* x x)) (cbrt (* y y)) (cbrt (* x (/ x y))) (cbrt y) (cbrt (* x (/ x y))) (cbrt y) (* (cbrt (cbrt (* (/ x y) (/ x y)))) (cbrt (cbrt (* (/ x y) (/ x y))))) (cbrt (cbrt (* (/ x y) (/ x y)))) (* (/ x y) (/ x y)) (sqrt (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y)))) (log (cbrt (* (/ x y) (/ x y)))) (exp (cbrt (* (/ x y) (/ x y)))) (cbrt (/ x y)) (cbrt (/ x y)) (cbrt (* x x)) (cbrt (* y y)) (cbrt (* x (/ x y))) (cbrt y) (cbrt (* x (/ x y))) (cbrt y) (* (cbrt (cbrt (* (/ x y) (/ x y)))) (cbrt (cbrt (* (/ x y) (/ x y))))) (cbrt (cbrt (* (/ x y) (/ x y)))) (* (/ x y) (/ x y)) (sqrt (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y)))) (log (cbrt (* (/ x y) (/ x y)))) (exp (cbrt (* (/ x y) (/ x y)))) (cbrt (/ x y)) (cbrt (/ x y)) (cbrt (* x x)) (cbrt (* y y)) (cbrt (* x (/ x y))) (cbrt y) (cbrt (* x (/ x y))) (cbrt y) (* (cbrt (cbrt (* (/ x y) (/ x y)))) (cbrt (cbrt (* (/ x y) (/ x y))))) (cbrt (cbrt (* (/ x y) (/ x y)))) (* (/ x y) (/ x y)) (sqrt (cbrt (* (/ x y) (/ x y)))) (sqrt (cbrt (* (/ x y) (/ x y)))) 2/3 2 (pow (/ x y) 4) (pow (sqrt (cbrt (* (/ x y) (/ x y)))) 4) 2 (* 2 (log (cbrt (* (/ x y) (/ x y))))) (* 2 (log (cbrt (* (/ x y) (/ x y))))) (pow (exp 1) (pow (sqrt (cbrt (* (/ x y) (/ x y)))) 4)) (pow (/ x y) 4) (* (cbrt (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))) (cbrt (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y)))))) (cbrt (* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))) (pow (/ x y) 4) (fabs (cbrt (* (/ x y) (/ x y)))) (fabs (cbrt (* (/ x y) (/ x y)))) (* (cbrt (* x x)) (cbrt (* x x))) (* (cbrt (* y y)) (cbrt (* y y))) (* (cbrt (* x x)) (cbrt (* x (/ x y)))) (* (cbrt (* y y)) (cbrt y)) (* (cbrt (* x x)) (cbrt (* x (/ x y)))) (* (cbrt (* y y)) (cbrt y)) (* (cbrt (* x x)) (cbrt (* x (/ x y)))) (* (cbrt (* y y)) (cbrt y)) (* (cbrt (* (/ x y) x)) (cbrt (* x (/ x y)))) (* (cbrt y) (cbrt y)) (* (cbrt (* (/ x y) x)) (cbrt (* x (/ x y)))) (* (cbrt y) (cbrt y)) (* (cbrt (* x x)) (cbrt (* x (/ x y)))) (* (cbrt (* y y)) (cbrt y)) (* (cbrt (* (/ x y) x)) (cbrt (* x (/ x y)))) (* (cbrt y) (cbrt y)) (* (cbrt (* (/ x y) x)) (cbrt (* x (/ x y)))) (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ x y))) (pow (cbrt (cbrt (* (/ x y) (/ x y)))) 4) (* (cbrt (cbrt (* (/ x y) (/ x y)))) (cbrt (cbrt (* (/ x y) (/ x y))))) (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))) 1 (pow (sqrt (cbrt (* (/ x y) (/ x y)))) 4) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (sqrt (cbrt (* (/ x y) (/ x y))))) (* (cbrt (/ x y)) (sqrt (cbrt (* (/ x y) (/ x y))))) (* (cbrt (/ x y)) (sqrt (cbrt (* (/ x y) (/ x y))))) (* (cbrt (/ x y)) (sqrt (cbrt (* (/ x y) (/ x y))))) (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))) 2/3 2 (* (cbrt (* (/ x y) (/ x y))) (cbrt (/ x y))) (pow (cbrt (cbrt (* (/ x y) (/ x y)))) 5) (pow (sqrt (cbrt (* (/ x y) (/ x y)))) 3) (cbrt (* (/ x y) (/ x y))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (/ x y))) (pow (cbrt (cbrt (* (/ x y) (/ x y)))) 4) (pow (sqrt (cbrt (* (/ x y) (/ x y)))) 3) (pow (sqrt (cbrt (* (/ x y) (/ x y)))) 4) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* x x))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* x (/ x y)))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* x (/ x y)))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* x x))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* x (/ x y)))) (* (cbrt (* (/ x y) (/ x y))) (cbrt (* x (/ x y)))) (* (pow (/ 1 y) 2/3) (pow x 2/3)) (* (pow (/ 1 y) 2/3) (pow x 2/3)) (pow (exp 2/3) (- (log (/ -1 y)) (log (/ -1 x)))) (* (pow (/ 1 y) 2/3) (pow x 2/3)) (* (pow (/ 1 y) 2/3) (pow x 2/3)) (pow (exp 2/3) (- (log (/ -1 y)) (log (/ -1 x)))) (* (pow (/ 1 y) 2/3) (pow x 2/3)) (* (pow (/ 1 y) 2/3) (pow x 2/3)) (pow (exp 2/3) (- (log (/ -1 y)) (log (/ -1 x)))) (* (pow (/ 1 y) 4/3) (pow x 4/3)) (* (pow (/ 1 y) 4/3) (pow x 4/3)) (pow (exp 4/3) (- (log (/ -1 y)) (log (/ -1 x)))) 1.522 * * * [progress]: adding candidates to table 1.753 * [progress]: [Phase 3 of 3] Extracting. 1.753 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 1.757 * * * [regime-changes]: Trying 8 branch expressions: ((* t t) (* z z) (/ (* z z) (* t t)) (* x x) t z y x) 1.757 * * * * [regimes]: Trying to branch on (* t t) from (# # # # # # # # # # # # # # # #) 1.802 * * * * [regimes]: Trying to branch on (* t t) from (# #) 1.815 * * * * [regimes]: Trying to branch on (* z z) from (# # # # # # # # # # # # # # # #) 1.859 * * * * [regimes]: Trying to branch on (* z z) from (# #) 1.874 * * * * [regimes]: Trying to branch on (/ (* z z) (* t t)) from (# # # # # # # # # # # # # # # #) 1.915 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # # # # # # # # #) 1.959 * * * * [regimes]: Trying to branch on t from (# # # # # # # # # # # # # # # #) 2.010 * * * * [regimes]: Trying to branch on z from (# # # # # # # # # # # # # # # #) 2.057 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # # # # #) 2.106 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # #) 2.155 * * * [regime]: Found split indices: #