18.217 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.023 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.024 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.041 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.047 * [taylor]: Taking taylor expansion of 1/2 in y 0.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.048 * [taylor]: Taking taylor expansion of 1/2 in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of -1/8 in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.049 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.049 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.050 * [taylor]: Taking taylor expansion of -1/2 in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of -1/8 in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.051 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.055 * * * [progress]: simplifying candidates 0.055 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN)))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.058 * * [simplify]: iteration 0 : 139 enodes (cost 151 ) 0.061 * * [simplify]: iteration 1 : 485 enodes (cost 141 ) 0.069 * * [simplify]: iteration 2 : 1555 enodes (cost 139 ) 0.103 * * [simplify]: iteration 3 : 5002 enodes (cost 138 ) 0.104 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (- (pow x 4) (pow y 2)) (- (* x x) y) (* NAN (+ (* (* NAN NAN) (pow y 2)) (+ (* 1/2 (pow x 2)) y))) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.104 * * * [progress]: adding candidates to table 0.171 * * [progress]: iteration 2 / 4 0.171 * * * [progress]: picking best candidate 0.180 * * * * [pick]: Picked # 0.180 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.205 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.220 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.230 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.246 * * * [progress]: generating series expansions 0.246 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.246 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in (x y) around 0 0.246 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.246 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.247 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.247 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 1 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.249 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of 1 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.252 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.253 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of 1 in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.255 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.255 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in (x y) around 0 0.255 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in y 0.255 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.255 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 0.256 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.256 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 0.256 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.256 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.257 * [taylor]: Taking taylor expansion of 1/2 in y 0.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.258 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.258 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.258 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.259 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.259 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of 1 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.260 * [taylor]: Taking taylor expansion of 1/2 in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.262 * [taylor]: Taking taylor expansion of -1/8 in y 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 0.262 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.262 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.262 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.262 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.263 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.263 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of 1 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.264 * [taylor]: Taking taylor expansion of -1/2 in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.266 * [taylor]: Taking taylor expansion of -1/8 in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.266 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 1 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.267 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of 1 in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.270 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of 1 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.272 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (neg y) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of 1 in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of 1 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of 1 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * * * [progress]: simplifying candidates 0.279 * [simplify]: Simplifying using # : (- (log (- (pow x 4) (pow y 2))) (log (- (* x x) y))) (log (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (exp (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (/ (* (* (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2))) (- (pow x 4) (pow y 2))) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y))) (* (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))) (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (* (* (/ (- (pow x 4) (pow y 2)) (- (* x x) y)) (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (neg (- (pow x 4) (pow y 2))) (neg (- (* x x) y)) (/ (pow x 4) (- (* x x) y)) (/ (pow y 2) (- (* x x) y)) (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y))) (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (sqrt (- (* x x) y))) (/ (cbrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y))) (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) 1) (/ (cbrt (- (pow x 4) (pow y 2))) (- (* x x) y)) (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (+ x (sqrt y))) (/ (cbrt (- (pow x 4) (pow y 2))) (- x (sqrt y))) (/ (sqrt (- (pow x 4) (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (sqrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y))) (/ 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(pow (sqrt y) 2)) (+ (pow x (/ 4 2)) y) (- (pow x (/ 4 2)) y) (+ (pow x (/ 4 2)) (sqrt (pow y 2))) (- (pow x (/ 4 2)) (sqrt (pow y 2))) (+ (pow x (/ 4 2)) (pow y (/ 2 2))) (- (pow x (/ 4 2)) (pow y (/ 2 2))) (- (pow x 4) (pow y 2)) (neg (pow y 2)) (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (neg y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (neg y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN)))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.292 * * [simplify]: iteration 0 : 741 enodes (cost 2680 ) 0.301 * * [simplify]: iteration 1 : 2154 enodes (cost 2403 ) 0.330 * * [simplify]: iteration 2 : 5002 enodes (cost 2249 ) 0.343 * [simplify]: Simplified to: (log (+ y (pow x 2))) (log (+ y (pow x 2))) (exp (+ y (pow x 2))) (pow (+ y (pow x 2)) 3) (* (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))) (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (pow (+ y (pow x 2)) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (neg (- (pow x 4) (pow y 2))) (neg (- (* x x) y)) (/ (pow x 4) (- (* x x) y)) (/ (pow y 2) (- (* x x) y)) (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y))) (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (sqrt (- (* x x) y))) (/ (cbrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y))) (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (/ (cbrt (- (pow x 4) (pow y 2))) (- (* x x) y)) (/ 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(sqrt (/ 1 (- (* x x) y))) (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow (* x x) 3) (pow y 3)))) (sqrt (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y)))) 1 (sqrt (+ (* x x) y)) (sqrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))) (sqrt (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))) (exp (- (pow x 4) (pow y 2))) (log (- (pow x 4) (pow y 2))) (exp (- (pow x 4) (pow y 2))) (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (cbrt (- (pow x 4) (pow y 2))) (pow (- (pow x 4) (pow y 2)) 3) (sqrt (- (pow x 4) (pow y 2))) (sqrt (- (pow x 4) (pow y 2))) (- (pow (pow x 4) 3) (pow (pow y 2) 3)) (+ (+ (pow x 8) (pow y 4)) (* (pow x 4) (pow y 2))) (neg (pow y 2)) (+ (pow x 8) (neg (pow y 4))) (+ (pow x 4) (pow y 2)) (+ y (pow x 2)) (- (pow x 2) y) (+ y (pow x 2)) (- (pow x 2) y) (+ (pow x 2) (sqrt (pow y 2))) (- (pow x 2) (sqrt (pow y 2))) (+ y (pow x 2)) (- (pow x 2) y) (+ y (sqrt (pow x 4))) (- (sqrt (pow x 4)) y) (+ y (sqrt (pow x 4))) (- (sqrt (pow x 4)) y) (+ (sqrt (pow x 4)) (sqrt (pow y 2))) (- (sqrt (pow x 4)) (sqrt (pow y 2))) (+ y (sqrt (pow x 4))) (- (sqrt (pow x 4)) y) (+ y (pow x 2)) (- (pow x 2) y) (+ y (pow x 2)) (- (pow x 2) y) (+ (pow x 2) (sqrt (pow y 2))) (- (pow x 2) (sqrt (pow y 2))) (+ y (pow x 2)) (- (pow x 2) y) (- (pow x 4) (pow y 2)) (neg (pow y 2)) (exp (- (* x x) y)) (log (- (pow x 2) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (pow x 2) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* y (+ y (pow x 2))) (pow x 4)) (neg y) (- (pow x 4) (pow y 2)) (+ y (pow x 2)) (+ x (sqrt y)) (- x (sqrt y)) (neg y) (+ y (pow x 2)) (+ y (pow x 2)) (+ y (pow x 2)) (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN)))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.348 * * * [progress]: adding candidates to table 1.394 * * [progress]: iteration 3 / 4 1.394 * * * [progress]: picking best candidate 1.400 * * * * [pick]: Picked # 1.400 * * * [progress]: localizing error 1.404 * * * [progress]: generating rewritten candidates 1.404 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.407 * * * [progress]: generating series expansions 1.407 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.407 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 1.407 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 1.407 * [taylor]: Taking taylor expansion of x in y 1.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.407 * [taylor]: Taking taylor expansion of 1/2 in y 1.407 * [taylor]: Taking taylor expansion of (/ y x) in y 1.407 * [taylor]: Taking taylor expansion of y in y 1.407 * [taylor]: Taking taylor expansion of x in y 1.407 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.407 * [taylor]: Taking taylor expansion of 1/2 in x 1.407 * [taylor]: Taking taylor expansion of (/ y x) in x 1.407 * [taylor]: Taking taylor expansion of y in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.408 * [taylor]: Taking taylor expansion of 1/2 in x 1.408 * [taylor]: Taking taylor expansion of (/ y x) in x 1.408 * [taylor]: Taking taylor expansion of y in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.408 * [taylor]: Taking taylor expansion of 1/2 in y 1.408 * [taylor]: Taking taylor expansion of y in y 1.408 * [taylor]: Taking taylor expansion of 0 in y 1.408 * [taylor]: Taking taylor expansion of 1 in y 1.408 * [taylor]: Taking taylor expansion of 0 in y 1.408 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 1.408 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 1.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.408 * [taylor]: Taking taylor expansion of 1/2 in y 1.409 * [taylor]: Taking taylor expansion of (/ x y) in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.409 * [taylor]: Taking taylor expansion of y in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.409 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.409 * [taylor]: Taking taylor expansion of 1/2 in x 1.409 * [taylor]: Taking taylor expansion of (/ x y) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of y in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.409 * [taylor]: Taking taylor expansion of 1/2 in x 1.409 * [taylor]: Taking taylor expansion of (/ x y) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of y in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of 1 in y 1.409 * [taylor]: Taking taylor expansion of 0 in y 1.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.409 * [taylor]: Taking taylor expansion of 1/2 in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.409 * [taylor]: Taking taylor expansion of y in y 1.409 * [taylor]: Taking taylor expansion of 0 in y 1.410 * [taylor]: Taking taylor expansion of 0 in y 1.410 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 1.410 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 1.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.410 * [taylor]: Taking taylor expansion of 1/2 in y 1.410 * [taylor]: Taking taylor expansion of (/ x y) in y 1.410 * [taylor]: Taking taylor expansion of x in y 1.410 * [taylor]: Taking taylor expansion of y in y 1.410 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.410 * [taylor]: Taking taylor expansion of x in y 1.410 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.410 * [taylor]: Taking taylor expansion of 1/2 in x 1.410 * [taylor]: Taking taylor expansion of (/ x y) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of y in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.410 * [taylor]: Taking taylor expansion of 1/2 in x 1.410 * [taylor]: Taking taylor expansion of (/ x y) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of y in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (neg 1) in y 1.410 * [taylor]: Taking taylor expansion of 1 in y 1.410 * [taylor]: Taking taylor expansion of 0 in y 1.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.411 * [taylor]: Taking taylor expansion of 1/2 in y 1.411 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.411 * [taylor]: Taking taylor expansion of y in y 1.411 * [taylor]: Taking taylor expansion of 0 in y 1.411 * [taylor]: Taking taylor expansion of 0 in y 1.411 * * * [progress]: simplifying candidates 1.412 * [simplify]: Simplifying using # : (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 1.414 * * [simplify]: iteration 0 : 83 enodes (cost 76 ) 1.416 * * [simplify]: iteration 1 : 297 enodes (cost 68 ) 1.424 * * [simplify]: iteration 2 : 1101 enodes (cost 68 ) 1.447 * * [simplify]: iteration 3 : 3891 enodes (cost 68 ) 1.518 * * [simplify]: iteration 4 : 5001 enodes (cost 68 ) 1.519 * [simplify]: Simplified to: (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x)) (+ (* -1/4 (* (/ y x) (/ y x))) (* x x)) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 1.519 * * * [progress]: adding candidates to table 1.537 * * [progress]: iteration 4 / 4 1.537 * * * [progress]: picking best candidate 1.540 * * * * [pick]: Picked # 1.540 * * * [progress]: localizing error 1.544 * * * [progress]: generating rewritten candidates 1.544 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.551 * * * [progress]: generating series expansions 1.551 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.551 * [approximate]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in (y x) around 0 1.551 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in x 1.551 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.551 * [taylor]: Taking taylor expansion of 1/2 in x 1.551 * [taylor]: Taking taylor expansion of (/ y x) in x 1.551 * [taylor]: Taking taylor expansion of y in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y 1.551 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 1.552 * [taylor]: Taking taylor expansion of x in y 1.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.552 * [taylor]: Taking taylor expansion of 1/2 in y 1.552 * [taylor]: Taking taylor expansion of (/ y x) in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.552 * [taylor]: Taking taylor expansion of x in y 1.552 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y 1.552 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 1.552 * [taylor]: Taking taylor expansion of x in y 1.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.552 * [taylor]: Taking taylor expansion of 1/2 in y 1.552 * [taylor]: Taking taylor expansion of (/ y x) in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.552 * [taylor]: Taking taylor expansion of x in y 1.552 * [taylor]: Taking taylor expansion of (neg x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 x))) in x 1.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 1.552 * [taylor]: Taking taylor expansion of 1/2 in x 1.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of 0 in x 1.552 * [taylor]: Taking taylor expansion of 0 in x 1.553 * [taylor]: Taking taylor expansion of 0 in x 1.553 * [approximate]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 1.553 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in x 1.553 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.553 * [taylor]: Taking taylor expansion of 1/2 in x 1.553 * [taylor]: Taking taylor expansion of (/ x y) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of y in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y 1.553 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 1.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.553 * [taylor]: Taking taylor expansion of 1/2 in y 1.553 * [taylor]: Taking taylor expansion of (/ x y) in y 1.553 * [taylor]: Taking taylor expansion of x in y 1.553 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.553 * [taylor]: Taking taylor expansion of x in y 1.553 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y 1.553 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 1.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.553 * [taylor]: Taking taylor expansion of 1/2 in y 1.553 * [taylor]: Taking taylor expansion of (/ x y) in y 1.553 * [taylor]: Taking taylor expansion of x in y 1.553 * [taylor]: Taking taylor expansion of y in y 1.554 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.554 * [taylor]: Taking taylor expansion of x in y 1.554 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x 1.554 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.554 * [taylor]: Taking taylor expansion of 1/2 in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of 0 in x 1.554 * [taylor]: Taking taylor expansion of 0 in x 1.555 * [taylor]: Taking taylor expansion of 0 in x 1.555 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 1.555 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.555 * [taylor]: Taking taylor expansion of 1/2 in x 1.555 * [taylor]: Taking taylor expansion of (/ x y) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 1.555 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.555 * [taylor]: Taking taylor expansion of x in y 1.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.555 * [taylor]: Taking taylor expansion of 1/2 in y 1.555 * [taylor]: Taking taylor expansion of (/ x y) in y 1.555 * [taylor]: Taking taylor expansion of x in y 1.555 * [taylor]: Taking taylor expansion of y in y 1.555 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 1.555 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.555 * [taylor]: Taking taylor expansion of x in y 1.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.555 * [taylor]: Taking taylor expansion of 1/2 in y 1.555 * [taylor]: Taking taylor expansion of (/ x y) in y 1.555 * [taylor]: Taking taylor expansion of x in y 1.555 * [taylor]: Taking taylor expansion of y in y 1.555 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x 1.555 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.556 * [taylor]: Taking taylor expansion of 1/2 in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of 0 in x 1.556 * [taylor]: Taking taylor expansion of 0 in x 1.556 * [taylor]: Taking taylor expansion of 0 in x 1.557 * * * [progress]: simplifying candidates 1.557 * [simplify]: Simplifying using # : (/ (exp (* -1/2 (/ y x))) (exp x)) (log (- (* -1/2 (/ y x)) x)) (exp (- (* -1/2 (/ y x)) x)) (* (cbrt (- (* -1/2 (/ y x)) x)) (cbrt (- (* -1/2 (/ y x)) x))) (cbrt (- (* -1/2 (/ y x)) x)) (* (* (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x)) (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (- (pow (* -1/2 (/ y x)) 3) (pow x 3)) (+ (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (+ (* x x) (* (* -1/2 (/ y x)) x))) (neg x) (- (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* x x)) (+ (* -1/2 (/ y x)) x) (neg x) (neg (+ x (* 1/2 (/ y x)))) (neg (+ x (* 1/2 (/ y x)))) (neg (+ x (* 1/2 (/ y x)))) 1.559 * * [simplify]: iteration 0 : 79 enodes (cost 82 ) 1.562 * * [simplify]: iteration 1 : 231 enodes (cost 72 ) 1.568 * * [simplify]: iteration 2 : 1176 enodes (cost 71 ) 1.591 * * [simplify]: iteration 3 : 5002 enodes (cost 71 ) 1.592 * [simplify]: Simplified to: (exp (- (* -1/2 (/ y x)) x)) (log (- (* -1/2 (/ y x)) x)) (exp (- (* -1/2 (/ y x)) x)) (* (cbrt (- (* -1/2 (/ y x)) x)) (cbrt (- (* -1/2 (/ y x)) x))) (cbrt (- (* -1/2 (/ y x)) x)) (pow (- (* -1/2 (/ y x)) x) 3) (sqrt (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (- (pow (* -1/2 (/ y x)) 3) (pow x 3)) (+ (* (* -1/2 (/ y x)) (+ x (* -1/2 (/ y x)))) (* x x)) (neg x) (- (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* x x)) (+ (* -1/2 (/ y x)) x) (neg x) (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x) 1.592 * * * [progress]: adding candidates to table 1.610 * [progress]: [Phase 3 of 3] Extracting. 1.610 * * [regime]: Finding splitpoints for: (# # # #) 1.610 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.610 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.651 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.692 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.738 * * * * [regimes]: Trying to branch on y from (# # # #) 1.807 * * * * [regimes]: Trying to branch on x from (# # # #) 1.859 * * * [regime]: Found split indices: #