15.636 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.068 * [progress]: [Phase 2 of 3] Improving. 0.068 * [simplify]: Simplifying using # : (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) 0.071 * * [simplify]: iteration 0 : 24 enodes (cost 7 ) 0.072 * * [simplify]: iteration 1 : 42 enodes (cost 7 ) 0.074 * * [simplify]: iteration 2 : 54 enodes (cost 7 ) 0.075 * * [simplify]: iteration 3 : 54 enodes (cost 7 ) 0.075 * [simplify]: Simplified to: (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.077 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.090 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.095 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.101 * * * [progress]: generating series expansions 0.101 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.101 * [approximate]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.126 * [approximate]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in (z t) around 0 0.126 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) 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) in t 0.126 * [taylor]: Taking taylor expansion of t in t 0.127 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) 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 z 0.127 * [taylor]: Taking taylor expansion of t in z 0.127 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) 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 z 0.127 * [taylor]: Taking taylor expansion of t in z 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow t 2)) in t 0.128 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.128 * [taylor]: Taking taylor expansion of t in t 0.129 * [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 0.135 * [taylor]: Taking taylor expansion of 0 in t 0.136 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.136 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.136 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.136 * [taylor]: Taking taylor expansion of t in t 0.136 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.136 * [taylor]: Taking taylor expansion of z in t 0.136 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.136 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.136 * [taylor]: Taking taylor expansion of t in z 0.136 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.136 * [taylor]: Taking taylor expansion of z in z 0.137 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.137 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.137 * [taylor]: Taking taylor expansion of t in z 0.137 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.137 * [taylor]: Taking taylor expansion of z in z 0.137 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.137 * [taylor]: Taking taylor expansion of t in t 0.138 * [taylor]: Taking taylor expansion of 0 in t 0.140 * [taylor]: Taking taylor expansion of 0 in t 0.143 * [taylor]: Taking taylor expansion of 0 in t 0.143 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.143 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.143 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.143 * [taylor]: Taking taylor expansion of t in t 0.143 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.143 * [taylor]: Taking taylor expansion of z in t 0.144 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.144 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.144 * [taylor]: Taking taylor expansion of t in z 0.144 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.144 * [taylor]: Taking taylor expansion of z in z 0.144 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.144 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.144 * [taylor]: Taking taylor expansion of t in z 0.144 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.144 * [taylor]: Taking taylor expansion of z in z 0.145 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.145 * [taylor]: Taking taylor expansion of t in t 0.146 * [taylor]: Taking taylor expansion of 0 in t 0.148 * [taylor]: Taking taylor expansion of 0 in t 0.150 * [taylor]: Taking taylor expansion of 0 in t 0.151 * * * [progress]: simplifying candidates 0.151 * [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)) 0.155 * * [simplify]: iteration 0 : 285 enodes (cost 248 ) 0.161 * * [simplify]: iteration 1 : 1335 enodes (cost 170 ) 0.180 * * [simplify]: iteration 2 : 5001 enodes (cost 160 ) 0.181 * [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)) 0.181 * * * [progress]: adding candidates to table 0.260 * * [progress]: iteration 2 / 4 0.260 * * * [progress]: picking best candidate 0.271 * * * * [pick]: Picked # 0.271 * * * [progress]: localizing error 0.279 * * * [progress]: generating rewritten candidates 0.279 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.284 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.299 * * * [progress]: generating series expansions 0.299 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.299 * [approximate]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in (z t) around 0 0.299 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in t 0.299 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.299 * [taylor]: Taking taylor expansion of z in t 0.299 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.299 * [taylor]: Taking taylor expansion of t in t 0.300 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.300 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.300 * [taylor]: Taking taylor expansion of z in z 0.300 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.300 * [taylor]: Taking taylor expansion of t in z 0.300 * [taylor]: Taking taylor expansion of (/ (pow z 2) (pow t 2)) in z 0.300 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.300 * [taylor]: Taking taylor expansion of z in z 0.300 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.300 * [taylor]: Taking taylor expansion of t in z 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow t 2)) in t 0.301 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.301 * [taylor]: Taking taylor expansion of t in t 0.302 * [taylor]: Taking taylor expansion of 0 in t 0.308 * [taylor]: Taking taylor expansion of 0 in t 0.310 * [taylor]: Taking taylor expansion of 0 in t 0.313 * [taylor]: Taking taylor expansion of 0 in t 0.313 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.313 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.313 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.313 * [taylor]: Taking taylor expansion of t in t 0.313 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.313 * [taylor]: Taking taylor expansion of z in t 0.314 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.314 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.314 * [taylor]: Taking taylor expansion of t in z 0.314 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.314 * [taylor]: Taking taylor expansion of z in z 0.314 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.314 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.314 * [taylor]: Taking taylor expansion of t in z 0.314 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.314 * [taylor]: Taking taylor expansion of z in z 0.315 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.315 * [taylor]: Taking taylor expansion of t in t 0.316 * [taylor]: Taking taylor expansion of 0 in t 0.318 * [taylor]: Taking taylor expansion of 0 in t 0.320 * [taylor]: Taking taylor expansion of 0 in t 0.321 * [approximate]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in (z t) around 0 0.321 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in t 0.321 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.321 * [taylor]: Taking taylor expansion of t in t 0.321 * [taylor]: Taking taylor expansion of (pow z 2) in t 0.321 * [taylor]: Taking taylor expansion of z in t 0.321 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.321 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.321 * [taylor]: Taking taylor expansion of t in z 0.321 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.321 * [taylor]: Taking taylor expansion of z in z 0.322 * [taylor]: Taking taylor expansion of (/ (pow t 2) (pow z 2)) in z 0.322 * [taylor]: Taking taylor expansion of (pow t 2) in z 0.322 * [taylor]: Taking taylor expansion of t in z 0.322 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.322 * [taylor]: Taking taylor expansion of z in z 0.322 * [taylor]: Taking taylor expansion of (pow t 2) in t 0.322 * [taylor]: Taking taylor expansion of t in t 0.323 * [taylor]: Taking taylor expansion of 0 in t 0.325 * [taylor]: Taking taylor expansion of 0 in t 0.328 * [taylor]: Taking taylor expansion of 0 in t 0.328 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.328 * [approximate]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.328 * [taylor]: Taking taylor expansion of x in y 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 (/ (pow x 2) (pow y 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.338 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * * * [progress]: simplifying candidates 0.354 * [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)) 0.360 * * [simplify]: iteration 0 : 482 enodes (cost 529 ) 0.368 * * [simplify]: iteration 1 : 2387 enodes (cost 434 ) 0.406 * * [simplify]: iteration 2 : 5001 enodes (cost 394 ) 0.408 * [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)) 0.408 * * * [progress]: adding candidates to table 0.577 * * [progress]: iteration 3 / 4 0.577 * * * [progress]: picking best candidate 0.600 * * * * [pick]: Picked # 0.600 * * * [progress]: localizing error 0.608 * * * [progress]: generating rewritten candidates 0.608 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.620 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.626 * * * [progress]: generating series expansions 0.626 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.627 * [approximate]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in (x y) around 0 0.627 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.637 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.637 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.644 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 0.644 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.645 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.647 * [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 0.652 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.652 * [approximate]: Taking taylor expansion of (pow (fabs (/ z t)) 2) in (z t) around 0 0.652 * [taylor]: Taking taylor expansion of (pow (fabs (/ z t)) 2) in t 0.652 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in t 0.652 * [taylor]: Taking taylor expansion of (pow (fabs (/ z t)) 2) in z 0.652 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in z 0.652 * [taylor]: Taking taylor expansion of (pow (fabs (/ z t)) 2) in z 0.652 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in z 0.652 * [taylor]: Taking taylor expansion of (pow (fabs (/ z t)) 2) in t 0.652 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in t 0.653 * [taylor]: Taking taylor expansion of 0 in t 0.658 * [taylor]: Taking taylor expansion of 0 in t 0.659 * [taylor]: Taking taylor expansion of 0 in t 0.659 * [approximate]: Taking taylor expansion of (pow (fabs (/ t z)) 2) in (z t) around 0 0.659 * [taylor]: Taking taylor expansion of (pow (fabs (/ t z)) 2) in t 0.659 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.659 * [taylor]: Taking taylor expansion of (pow (fabs (/ t z)) 2) in z 0.659 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.659 * [taylor]: Taking taylor expansion of (pow (fabs (/ t z)) 2) in z 0.659 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.659 * [taylor]: Taking taylor expansion of (pow (fabs (/ t z)) 2) in t 0.659 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.660 * [taylor]: Taking taylor expansion of 0 in t 0.660 * [taylor]: Taking taylor expansion of 0 in t 0.661 * [taylor]: Taking taylor expansion of 0 in t 0.661 * [approximate]: Taking taylor expansion of (pow (fabs (/ t z)) 2) in (z t) around 0 0.661 * [taylor]: Taking taylor expansion of (pow (fabs (/ t z)) 2) in t 0.661 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.661 * [taylor]: Taking taylor expansion of (pow (fabs (/ t z)) 2) in z 0.661 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.662 * [taylor]: Taking taylor expansion of (pow (fabs (/ t z)) 2) in z 0.662 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.662 * [taylor]: Taking taylor expansion of (pow (fabs (/ t z)) 2) in t 0.662 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.662 * [taylor]: Taking taylor expansion of 0 in t 0.662 * [taylor]: Taking taylor expansion of 0 in t 0.663 * [taylor]: Taking taylor expansion of 0 in t 0.664 * * * [progress]: simplifying candidates 0.665 * [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) (* (fabs (/ z t)) (fabs (/ z t))) (+ 1 1) (+ (log (fabs (/ z t))) (log (fabs (/ z t)))) (log (* (fabs (/ z t)) (fabs (/ z t)))) (exp (* (fabs (/ z t)) (fabs (/ z t)))) (* (* (* (fabs (/ z t)) (fabs (/ z t))) (fabs (/ z t))) (* (* (fabs (/ z t)) (fabs (/ z t))) (fabs (/ z t)))) (* (cbrt (* (fabs (/ z t)) (fabs (/ z t)))) (cbrt (* (fabs (/ z t)) (fabs (/ z t))))) (cbrt (* (fabs (/ z t)) (fabs (/ z t)))) (* (* (* (fabs (/ z t)) (fabs (/ z t))) (* (fabs (/ z t)) (fabs (/ z t)))) (* (fabs (/ z t)) (fabs (/ z t)))) (sqrt (* (fabs (/ z t)) (fabs (/ z t)))) (sqrt (* (fabs (/ z t)) (fabs (/ z t)))) (* (* (cbrt (fabs (/ z t))) (cbrt (fabs (/ z t)))) (* (cbrt (fabs (/ z t))) (cbrt (fabs (/ z t))))) (* (cbrt (fabs (/ z t))) (cbrt (fabs (/ z t)))) (* (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t)))) (* (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t)))) (* 1 1) (* (fabs (/ z t)) (fabs (/ z t))) (* (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t)))) (* (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t)))) (* 2 1) (* (fabs (/ z t)) (* (cbrt (fabs (/ z t))) (cbrt (fabs (/ z t))))) (* (fabs (/ z t)) (sqrt (fabs (/ z t)))) (* (fabs (/ z t)) 1) (* (cbrt (fabs (/ z t))) (fabs (/ z t))) (* (sqrt (fabs (/ z t))) (fabs (/ z t))) (* (fabs (/ z t)) (fabs (/ z t))) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (pow (fabs (/ z t)) 2) (pow (fabs (/ z t)) 2) (pow (fabs (/ z t)) 2) 0.670 * * [simplify]: iteration 0 : 396 enodes (cost 544 ) 0.678 * * [simplify]: iteration 1 : 1932 enodes (cost 463 ) 0.712 * * [simplify]: iteration 2 : 5001 enodes (cost 415 ) 0.714 * [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) (/ (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)) 2 (pow (fabs (/ z t)) 2) 2 (* 2 (log (fabs (/ z t)))) (* 2 (log (fabs (/ z t)))) (exp (pow (fabs (/ z t)) 2)) (pow (pow (fabs (/ z t)) 2) 3) (* (cbrt (* (fabs (/ z t)) (fabs (/ z t)))) (cbrt (* (fabs (/ z t)) (fabs (/ z t))))) (cbrt (* (fabs (/ z t)) (fabs (/ z t)))) (pow (pow (fabs (/ z t)) 2) 3) (fabs (fabs (/ z t))) (fabs (fabs (/ z t))) (pow (cbrt (fabs (/ z t))) 4) (* (cbrt (fabs (/ z t))) (cbrt (fabs (/ z t)))) (fabs (/ z t)) (fabs (/ z t)) 1 (pow (fabs (/ z t)) 2) (fabs (/ z t)) (fabs (/ z t)) 2 (* (fabs (/ z t)) (* (cbrt (fabs (/ z t))) (cbrt (fabs (/ z t))))) (pow (sqrt (fabs (/ z t))) 3) (fabs (/ z t)) (pow (cbrt (fabs (/ z t))) 4) (pow (sqrt (fabs (/ z t))) 3) (pow (fabs (/ z t)) 2) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (pow (fabs (/ z t)) 2) (pow (fabs (/ z t)) 2) (pow (fabs (/ z t)) 2) 0.715 * * * [progress]: adding candidates to table 0.915 * * [progress]: iteration 4 / 4 0.915 * * * [progress]: picking best candidate 0.945 * * * * [pick]: Picked # 0.945 * * * [progress]: localizing error 0.956 * * * [progress]: generating rewritten candidates 0.956 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.957 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.958 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.960 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.976 * * * [progress]: generating series expansions 0.976 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.976 * [approximate]: Taking taylor expansion of (sqrt (fabs (/ z t))) in (z t) around 0 0.976 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ z t))) in t 0.976 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in t 0.976 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ z t))) in z 0.976 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in z 0.976 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ z t))) in z 0.976 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in z 0.977 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ z t))) in t 0.977 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in t 0.977 * [taylor]: Taking taylor expansion of 0 in t 0.978 * [taylor]: Taking taylor expansion of 0 in t 0.979 * [taylor]: Taking taylor expansion of 0 in t 0.979 * [approximate]: Taking taylor expansion of (sqrt (fabs (/ t z))) in (z t) around 0 0.979 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in t 0.979 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.979 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in z 0.979 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.979 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in z 0.979 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.979 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in t 0.979 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.980 * [taylor]: Taking taylor expansion of 0 in t 0.980 * [taylor]: Taking taylor expansion of 0 in t 0.981 * [taylor]: Taking taylor expansion of 0 in t 0.981 * [approximate]: Taking taylor expansion of (sqrt (fabs (/ t z))) in (z t) around 0 0.981 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in t 0.981 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.982 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in z 0.982 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.982 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in z 0.982 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.982 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in t 0.982 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.982 * [taylor]: Taking taylor expansion of 0 in t 0.983 * [taylor]: Taking taylor expansion of 0 in t 0.984 * [taylor]: Taking taylor expansion of 0 in t 0.984 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.984 * [approximate]: Taking taylor expansion of (sqrt (fabs (/ z t))) in (z t) around 0 0.984 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ z t))) in t 0.984 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in t 0.984 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ z t))) in z 0.984 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in z 0.984 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ z t))) in z 0.984 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in z 0.985 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ z t))) in t 0.985 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in t 0.985 * [taylor]: Taking taylor expansion of 0 in t 0.985 * [taylor]: Taking taylor expansion of 0 in t 0.986 * [taylor]: Taking taylor expansion of 0 in t 0.986 * [approximate]: Taking taylor expansion of (sqrt (fabs (/ t z))) in (z t) around 0 0.986 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in t 0.987 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.987 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in z 0.987 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.987 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in z 0.987 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.987 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in t 0.987 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.987 * [taylor]: Taking taylor expansion of 0 in t 0.988 * [taylor]: Taking taylor expansion of 0 in t 0.989 * [taylor]: Taking taylor expansion of 0 in t 0.989 * [approximate]: Taking taylor expansion of (sqrt (fabs (/ t z))) in (z t) around 0 0.989 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in t 0.989 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.989 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in z 0.989 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.989 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in z 0.989 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.989 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in t 0.989 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.990 * [taylor]: Taking taylor expansion of 0 in t 0.990 * [taylor]: Taking taylor expansion of 0 in t 0.991 * [taylor]: Taking taylor expansion of 0 in t 0.991 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.991 * [approximate]: Taking taylor expansion of (pow (sqrt (fabs (/ z t))) 3) in (z t) around 0 0.991 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ z t))) 3) in t 0.991 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ z t))) in t 0.991 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in t 0.992 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ z t))) 3) in z 0.992 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ z t))) in z 0.992 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in z 0.992 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ z t))) 3) in z 0.992 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ z t))) in z 0.992 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in z 0.992 * [taylor]: Taking taylor expansion of (sqrt (pow (fabs (/ z t)) 3)) in t 0.992 * [taylor]: Taking taylor expansion of (pow (fabs (/ z t)) 3) in t 0.992 * [taylor]: Taking taylor expansion of (fabs (/ z t)) in t 0.993 * [taylor]: Taking taylor expansion of 0 in t 0.994 * [taylor]: Taking taylor expansion of 0 in t 0.997 * [taylor]: Taking taylor expansion of 0 in t 0.997 * [approximate]: Taking taylor expansion of (pow (sqrt (fabs (/ t z))) 3) in (z t) around 0 0.997 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ t z))) 3) in t 0.997 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in t 0.998 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.998 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ t z))) 3) in z 0.998 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in z 0.998 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.998 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ t z))) 3) in z 0.998 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in z 0.998 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 0.998 * [taylor]: Taking taylor expansion of (sqrt (pow (fabs (/ t z)) 3)) in t 0.998 * [taylor]: Taking taylor expansion of (pow (fabs (/ t z)) 3) in t 0.998 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 0.999 * [taylor]: Taking taylor expansion of 0 in t 1.005 * [taylor]: Taking taylor expansion of 0 in t 1.008 * [taylor]: Taking taylor expansion of 0 in t 1.009 * [approximate]: Taking taylor expansion of (pow (sqrt (fabs (/ t z))) 3) in (z t) around 0 1.009 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ t z))) 3) in t 1.009 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in t 1.009 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 1.009 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ t z))) 3) in z 1.009 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in z 1.009 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 1.009 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (/ t z))) 3) in z 1.009 * [taylor]: Taking taylor expansion of (sqrt (fabs (/ t z))) in z 1.009 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in z 1.009 * [taylor]: Taking taylor expansion of (sqrt (pow (fabs (/ t z)) 3)) in t 1.009 * [taylor]: Taking taylor expansion of (pow (fabs (/ t z)) 3) in t 1.009 * [taylor]: Taking taylor expansion of (fabs (/ t z)) in t 1.010 * [taylor]: Taking taylor expansion of 0 in t 1.012 * [taylor]: Taking taylor expansion of 0 in t 1.015 * [taylor]: Taking taylor expansion of 0 in t 1.015 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.015 * [approximate]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in (x y) around 0 1.015 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.015 * [taylor]: Taking taylor expansion of x in y 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of 0 in y 1.019 * [taylor]: Taking taylor expansion of 0 in y 1.022 * [taylor]: Taking taylor expansion of 0 in y 1.024 * [taylor]: Taking taylor expansion of 0 in y 1.025 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 1.025 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.025 * [taylor]: Taking taylor expansion of x in y 1.025 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.025 * [taylor]: Taking taylor expansion of y in x 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.027 * [taylor]: Taking taylor expansion of 0 in y 1.029 * [taylor]: Taking taylor expansion of 0 in y 1.032 * [taylor]: Taking taylor expansion of 0 in y 1.033 * [approximate]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in (x y) around 0 1.033 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.034 * [taylor]: Taking taylor expansion of y in x 1.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of 0 in y 1.038 * [taylor]: Taking taylor expansion of 0 in y 1.041 * [taylor]: Taking taylor expansion of 0 in y 1.041 * * * [progress]: simplifying candidates 1.043 * [simplify]: Simplifying using # : (log (sqrt (fabs (/ z t)))) (exp (sqrt (fabs (/ z t)))) (* (cbrt (sqrt (fabs (/ z t)))) (cbrt (sqrt (fabs (/ z t))))) (cbrt (sqrt (fabs (/ z t)))) (* (* (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t)))) (sqrt (fabs (/ z t)))) (sqrt (* (cbrt (fabs (/ z t))) (cbrt (fabs (/ z t))))) (sqrt (cbrt (fabs (/ z t)))) (sqrt (sqrt (fabs (/ z t)))) (sqrt (sqrt (fabs (/ z t)))) (sqrt 1) (sqrt (fabs (/ z t))) (/ 1 2) (sqrt (sqrt (fabs (/ z t)))) (sqrt (sqrt (fabs (/ z t)))) (log (sqrt (fabs (/ z t)))) (exp (sqrt (fabs (/ z t)))) (* (cbrt (sqrt (fabs (/ z t)))) (cbrt (sqrt (fabs (/ z t))))) (cbrt (sqrt (fabs (/ z t)))) (* (* (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t)))) (sqrt (fabs (/ z t)))) (sqrt (* (cbrt (fabs (/ z t))) (cbrt (fabs (/ z t))))) (sqrt (cbrt (fabs (/ z t)))) (sqrt (sqrt (fabs (/ z t)))) (sqrt (sqrt (fabs (/ z t)))) (sqrt 1) (sqrt (fabs (/ z t))) (/ 1 2) (sqrt (sqrt (fabs (/ z t)))) (sqrt (sqrt (fabs (/ z t)))) (* (log (sqrt (fabs (/ z t)))) 3) (* (log (sqrt (fabs (/ z t)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (fabs (/ z t))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (fabs (/ z t))) (sqrt 3)) (pow (sqrt (fabs (/ z t))) 1) (pow (* (cbrt (sqrt (fabs (/ z t)))) (cbrt (sqrt (fabs (/ z t))))) 3) (pow (cbrt (sqrt (fabs (/ z t)))) 3) (pow (sqrt (* (cbrt (fabs (/ z t))) (cbrt (fabs (/ z t))))) 3) (pow (sqrt (cbrt (fabs (/ z t)))) 3) (pow (sqrt (sqrt (fabs (/ z t)))) 3) (pow (sqrt (sqrt (fabs (/ z t)))) 3) (pow (sqrt 1) 3) (pow (sqrt (fabs (/ z t))) 3) (pow (sqrt (sqrt (fabs (/ z t)))) 3) (pow (sqrt (sqrt (fabs (/ z t)))) 3) (pow 1 3) (pow (sqrt (fabs (/ z t))) 3) (* (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t)))) (log (pow (sqrt (fabs (/ z t))) 3)) (exp (pow (sqrt (fabs (/ z t))) 3)) (* (cbrt (pow (sqrt (fabs (/ z t))) 3)) (cbrt (pow (sqrt (fabs (/ z t))) 3))) (cbrt (pow (sqrt (fabs (/ z t))) 3)) (* (* (pow (sqrt (fabs (/ z t))) 3) (pow (sqrt (fabs (/ z t))) 3)) (pow (sqrt (fabs (/ z t))) 3)) (pow (* (cbrt (sqrt (fabs (/ z t)))) (cbrt (sqrt (fabs (/ z t))))) 3) (pow (cbrt (sqrt (fabs (/ z t)))) 3) (pow (sqrt (* (cbrt (fabs (/ z t))) (cbrt (fabs (/ z t))))) 3) (pow (sqrt (cbrt (fabs (/ z t)))) 3) (pow (sqrt (sqrt (fabs (/ z t)))) 3) (pow (sqrt (sqrt (fabs (/ z t)))) 3) (pow (sqrt 1) 3) (pow (sqrt (fabs (/ z t))) 3) (pow (sqrt (sqrt (fabs (/ z t)))) 3) (pow (sqrt (sqrt (fabs (/ z t)))) 3) (pow 1 3) (pow (sqrt (fabs (/ z t))) 3) (* (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t)))) (/ 3 2) (sqrt (pow (sqrt (fabs (/ z t))) 3)) (sqrt (pow (sqrt (fabs (/ z t))) 3)) (pow (sqrt (fabs (/ z t))) (/ 3 2)) (pow (sqrt (fabs (/ z t))) (/ 3 2)) (+ 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)) (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t))) (sqrt (pow (fabs (/ z t)) 3)) (sqrt (pow (fabs (/ z t)) 3)) (sqrt (pow (fabs (/ z t)) 3)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) 1.050 * * [simplify]: iteration 0 : 455 enodes (cost 710 ) 1.060 * * [simplify]: iteration 1 : 2300 enodes (cost 624 ) 1.103 * * [simplify]: iteration 2 : 5001 enodes (cost 582 ) 1.106 * [simplify]: Simplified to: (log (sqrt (fabs (/ z t)))) (exp (sqrt (fabs (/ z t)))) (cbrt (fabs (/ z t))) (cbrt (sqrt (fabs (/ z t)))) (pow (sqrt (fabs (/ z t))) 3) (fabs (cbrt (fabs (/ z t)))) (sqrt (cbrt (fabs (/ z t)))) (pow (sqrt (fabs (/ z t))) 1/2) (pow (sqrt (fabs (/ z t))) 1/2) 1 (sqrt (fabs (/ z t))) 1/2 (pow (sqrt (fabs (/ z t))) 1/2) (pow (sqrt (fabs (/ z t))) 1/2) (log (sqrt (fabs (/ z t)))) (exp (sqrt (fabs (/ z t)))) (cbrt (fabs (/ z t))) (cbrt (sqrt (fabs (/ z t)))) (pow (sqrt (fabs (/ z t))) 3) (fabs (cbrt (fabs (/ z t)))) (sqrt (cbrt (fabs (/ z t)))) (pow (sqrt (fabs (/ z t))) 1/2) (pow (sqrt (fabs (/ z t))) 1/2) 1 (sqrt (fabs (/ z t))) 1/2 (pow (sqrt (fabs (/ z t))) 1/2) (pow (sqrt (fabs (/ z t))) 1/2) (log (pow (sqrt (fabs (/ z t))) 3)) (log (pow (sqrt (fabs (/ z t))) 3)) 3/2 3 3/2 (pow (sqrt (fabs (/ z t))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (fabs (/ z t))) (sqrt 3)) (sqrt (fabs (/ z t))) (fabs (/ z t)) (sqrt (fabs (/ z t))) (pow (fabs (cbrt (fabs (/ z t)))) 3) (pow (sqrt (cbrt (fabs (/ z t)))) 3) (pow (sqrt (fabs (/ z t))) 3/2) (pow (sqrt (fabs (/ z t))) 3/2) 1 (pow (sqrt (fabs (/ z t))) 3) (pow (sqrt (fabs (/ z t))) 3/2) (pow (sqrt (fabs (/ z t))) 3/2) 1 (pow (sqrt (fabs (/ z t))) 3) (fabs (/ z t)) (log (pow (sqrt (fabs (/ z t))) 3)) (exp (pow (sqrt (fabs (/ z t))) 3)) (fabs (/ z t)) (sqrt (fabs (/ z t))) (pow (pow (sqrt (fabs (/ z t))) 3) 3) (fabs (/ z t)) (sqrt (fabs (/ z t))) (pow (fabs (cbrt (fabs (/ z t)))) 3) (pow (sqrt (cbrt (fabs (/ z t)))) 3) (pow (sqrt (fabs (/ z t))) 3/2) (pow (sqrt (fabs (/ z t))) 3/2) 1 (pow (sqrt (fabs (/ z t))) 3) (pow (sqrt (fabs (/ z t))) 3/2) (pow (sqrt (fabs (/ z t))) 3/2) 1 (pow (sqrt (fabs (/ z t))) 3) (fabs (/ z t)) 3/2 (sqrt (pow (sqrt (fabs (/ z t))) 3)) (sqrt (pow (sqrt (fabs (/ z t))) 3)) (pow (sqrt (fabs (/ z t))) 3/2) (pow (sqrt (fabs (/ z t))) 3/2) 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 (/ 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)) (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t))) (sqrt (fabs (/ z t))) (sqrt (pow (fabs (/ z t)) 3)) (sqrt (pow (fabs (/ z t)) 3)) (sqrt (pow (fabs (/ z t)) 3)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) (/ (pow x 2) (pow y 2)) 1.107 * * * [progress]: adding candidates to table 1.431 * [progress]: [Phase 3 of 3] Extracting. 1.431 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 1.436 * * * [regime-changes]: Trying 9 branch expressions: ((* t t) (* z z) (/ (* z z) (* t t)) (* y y) (* x x) t z y x) 1.436 * * * * [regimes]: Trying to branch on (* t t) from (# # # # # # # # # # # # # # #) 1.487 * * * * [regimes]: Trying to branch on (* t t) from (# # #) 1.502 * * * * [regimes]: Trying to branch on (* z z) from (# # # # # # # # # # # # # # #) 1.552 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 1.571 * * * * [regimes]: Trying to branch on (/ (* z z) (* t t)) from (# # # # # # # # # # # # # # #) 1.620 * * * * [regimes]: Trying to branch on (/ (* z z) (* t t)) from (# #) 1.637 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # # # # # # # #) 1.688 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # # # # # # # #) 1.738 * * * * [regimes]: Trying to branch on t from (# # # # # # # # # # # # # # #) 1.795 * * * * [regimes]: Trying to branch on z from (# # # # # # # # # # # # # # #) 1.847 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # # # #) 1.900 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # #) 1.952 * * * [regime]: Found split indices: #