28.670 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.021 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.033 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.038 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.043 * [taylor]: Taking taylor expansion of 1/2 in y 0.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.048 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 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 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 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 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.057 * [taylor]: Taking taylor expansion of 1/2 in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of -1/8 in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of 1 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.073 * [taylor]: Taking taylor expansion of -1/2 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of -1/8 in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.079 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.080 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.105 * * * [progress]: simplifying candidates 0.105 * [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) (neg (+ (* +nan.0 (pow x 2)) (neg (+ (* +nan.0 (pow y 2)) (neg (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.109 * * [simplify]: iteration 0 : 141 enodes (cost 152 ) 0.113 * * [simplify]: iteration 1 : 475 enodes (cost 139 ) 0.121 * * [simplify]: iteration 2 : 1515 enodes (cost 137 ) 0.154 * * [simplify]: iteration 3 : 5002 enodes (cost 135 ) 0.155 * [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.0 (- (- (pow y 2) y) (pow x 2))) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.156 * * * [progress]: adding candidates to table 0.209 * * [progress]: iteration 2 / 4 0.209 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.221 * * * [progress]: generating rewritten candidates 0.221 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.227 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.231 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.237 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.244 * * * [progress]: generating series expansions 0.244 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.244 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.244 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.245 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.245 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.248 * [taylor]: Taking taylor expansion of 1/2 in y 0.248 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.253 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.253 * [taylor]: Taking taylor expansion of x in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.258 * [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 0.262 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.262 * [taylor]: Taking taylor expansion of 1/2 in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [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 0.268 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.268 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 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 0.275 * [taylor]: Taking taylor expansion of 1 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.277 * [taylor]: Taking taylor expansion of -1/2 in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.283 * [taylor]: Taking taylor expansion of -1/8 in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.284 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.284 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.286 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.288 * [taylor]: Taking taylor expansion of 1/2 in y 0.288 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.298 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of 1 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.306 * [taylor]: Taking taylor expansion of 1/2 in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of -1/8 in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.312 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.312 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.317 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of 1 in y 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.321 * [taylor]: Taking taylor expansion of -1/2 in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of -1/8 in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.328 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.328 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in y 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.328 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in y 0.329 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in x 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x 0.329 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in x 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x 0.330 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt y)) in y 0.333 * [taylor]: Taking taylor expansion of 3/2 in y 0.333 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in (x y) around 0 0.340 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in y 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in x 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of 1 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y 0.351 * [taylor]: Taking taylor expansion of 3/2 in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [approximate]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in y 0.355 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in x 0.357 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in x 0.359 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.359 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of 1 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of (neg (* 3/2 (/ 1 y))) in y 0.366 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y 0.366 * [taylor]: Taking taylor expansion of 3/2 in y 0.366 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.370 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.370 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.370 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.370 * [taylor]: Taking taylor expansion of x in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of 1 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of 1 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.385 * [taylor]: Taking taylor expansion of x in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of 1 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.394 * * * [progress]: simplifying candidates 0.395 * [simplify]: Simplifying using # : (log (cbrt (pow (sqrt (+ (* x x) y)) 3))) (exp (cbrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (pow (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) 3)) (cbrt (pow (cbrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) 3)) (cbrt (pow (sqrt (cbrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (cbrt (* (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3)))) (cbrt (cbrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (pow (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) 3)) (cbrt (pow (cbrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) 3)) (cbrt (pow (sqrt (cbrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (sqrt (+ (* x x) y))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (cbrt (sqrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (sqrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt 1) (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (+ (* x x) y)) (/ 3 2))) (cbrt (pow (sqrt (+ (* x x) y)) (/ 3 2))) (cbrt (pow (sqrt (+ (pow (* x x) 3) (pow y 3))) 3)) (cbrt (pow (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) 3)) (cbrt (pow (sqrt (- (* (* x x) (* x x)) (* y y))) 3)) (cbrt (pow (sqrt (- (* x x) y)) 3)) (* (cbrt (cbrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (cbrt (pow (sqrt (+ (* x x) y)) 3)))) (cbrt (cbrt (pow (sqrt (+ (* x x) y)) 3))) (* (* (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (pow (sqrt (+ (* x x) y)) 3))) (sqrt (cbrt (pow (sqrt (+ (* x x) y)) 3))) (sqrt (cbrt (pow (sqrt (+ (* x x) y)) 3))) (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))) (* (log (sqrt (+ (* x x) y))) 3) (* (log (sqrt (+ (* x x) y))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (+ (* x x) y)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ (* x x) y)) (sqrt 3)) (pow (sqrt (+ (* x x) y)) 1) (pow (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) 3) (pow (cbrt (sqrt (+ (* x x) y))) 3) (pow (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) 3) (pow (sqrt (cbrt (+ (* x x) y))) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow 1 3) (pow (sqrt (+ (* x x) y)) 3) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (log (pow (sqrt (+ (* x x) y)) 3)) (exp (pow (sqrt (+ (* x x) y)) 3)) (* (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (pow (sqrt (+ (* x x) y)) 3)) (* (* (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (+ (* x x) y)) 3)) (pow (sqrt (+ (* x x) y)) 3)) (pow (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) 3) (pow (cbrt (sqrt (+ (* x x) y))) 3) (pow (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) 3) (pow (sqrt (cbrt (+ (* x x) y))) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow 1 3) (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (+ (pow (* x x) 3) (pow y 3))) 3) (pow (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) 3) (pow (sqrt (- (* (* x x) (* x x)) (* y y))) 3) (pow (sqrt (- (* x x) y)) 3) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (/ 3 2) (sqrt (pow (sqrt (+ (* x x) y)) 3)) (sqrt (pow (sqrt (+ (* x x) y)) 3)) (pow (sqrt (+ (* x x) y)) (/ 3 2)) (pow (sqrt (+ (* x x) y)) (/ 3 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))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (neg (+ (* +nan.0 (pow x 2)) (neg (+ (* +nan.0 (pow y 2)) (neg (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (neg (+ (* +nan.0 (pow x 2)) (neg (+ (* +nan.0 (pow y 2)) (neg (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (neg (+ (* +nan.0 (* (pow x 2) y)) (neg (+ (* +nan.0 (pow y 3)) (neg (* +nan.0 (pow y 2))))))) (pow x 3) (* -1 (pow x 3)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.401 * * [simplify]: iteration 0 : 301 enodes (cost 544 ) 0.407 * * [simplify]: iteration 1 : 1159 enodes (cost 508 ) 0.432 * * [simplify]: iteration 2 : 5001 enodes (cost 490 ) 0.436 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (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 (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (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 (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (sqrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (sqrt (pow (sqrt (+ (* x x) y)) 3))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (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)) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (cbrt (+ (* 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))) (* (log (+ (* x x) y)) 3/2) (* (log (+ (* x x) y)) 3/2) 3/2 3 3/2 (pow (sqrt (+ (* x x) y)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ (* x x) y)) (sqrt 3)) (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (pow (fabs (cbrt (+ (* x x) y))) 3) (pow (sqrt (cbrt (+ (* x x) y))) 3) (pow (sqrt (+ (* x x) y)) 3/2) (pow (sqrt (+ (* x x) y)) 3/2) 1 (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (+ (* x x) y)) 3/2) (pow (sqrt (+ (* x x) y)) 3/2) 1 (pow (sqrt (+ (* x x) y)) 3) (+ (* x x) y) (* (log (+ (* x x) y)) 3/2) (exp (pow (sqrt (+ (* x x) y)) 3)) (+ (* x x) y) (sqrt (+ (* x x) y)) (pow (pow (sqrt (+ (* x x) y)) 3) 3) (+ (* x x) y) (sqrt (+ (* x x) y)) (pow (fabs (cbrt (+ (* x x) y))) 3) (pow (sqrt (cbrt (+ (* x x) y))) 3) (pow (sqrt (+ (* x x) y)) 3/2) (pow (sqrt (+ (* x x) y)) 3/2) 1 (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (+ (* x x) y)) 3/2) (pow (sqrt (+ (* x x) y)) 3/2) 1 (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (+ (pow (* x x) 3) (pow y 3))) 3) (pow (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) 3) (pow (sqrt (- (* (* x x) (* x x)) (* y y))) 3) (pow (sqrt (- (* x x) y)) 3) (+ (* x x) y) 3/2 (sqrt (pow (sqrt (+ (* x x) y)) 3)) (sqrt (pow (sqrt (+ (* x x) y)) 3)) (pow (sqrt (+ (* x x) y)) 3/2) (pow (sqrt (+ (* x x) y)) 3/2) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (pow (cbrt (sqrt (+ (* x x) y))) 4) (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.0 (+ (* -1 (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (* +nan.0 (+ (* -1 (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (* +nan.0 (+ (neg (* (* x x) y)) (- (pow y 3) (pow y 2)))) (pow x 3) (* -1 (pow x 3)) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.436 * * * [progress]: adding candidates to table 0.579 * * [progress]: iteration 3 / 4 0.579 * * * [progress]: picking best candidate 0.581 * * * * [pick]: Picked # 0.581 * * * [progress]: localizing error 0.586 * * * [progress]: generating rewritten candidates 0.586 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.592 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.599 * * * [progress]: generating series expansions 0.599 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.599 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 0.599 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 0.599 * [taylor]: Taking taylor expansion of -1/2 in x 0.599 * [taylor]: Taking taylor expansion of (/ y x) in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.599 * [taylor]: Taking taylor expansion of -1/2 in y 0.599 * [taylor]: Taking taylor expansion of (/ y x) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.599 * [taylor]: Taking taylor expansion of -1/2 in y 0.599 * [taylor]: Taking taylor expansion of (/ y x) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.599 * [taylor]: Taking taylor expansion of -1/2 in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of 0 in x 0.601 * [taylor]: Taking taylor expansion of 0 in x 0.603 * [taylor]: Taking taylor expansion of 0 in x 0.603 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.604 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.604 * [taylor]: Taking taylor expansion of -1/2 in x 0.604 * [taylor]: Taking taylor expansion of (/ x y) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of y in x 0.604 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.604 * [taylor]: Taking taylor expansion of -1/2 in y 0.604 * [taylor]: Taking taylor expansion of (/ x y) in y 0.604 * [taylor]: Taking taylor expansion of x in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.604 * [taylor]: Taking taylor expansion of -1/2 in y 0.604 * [taylor]: Taking taylor expansion of (/ x y) in y 0.604 * [taylor]: Taking taylor expansion of x in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.604 * [taylor]: Taking taylor expansion of -1/2 in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of 0 in x 0.607 * [taylor]: Taking taylor expansion of 0 in x 0.609 * [taylor]: Taking taylor expansion of 0 in x 0.610 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.610 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.610 * [taylor]: Taking taylor expansion of -1/2 in x 0.610 * [taylor]: Taking taylor expansion of (/ x y) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.610 * [taylor]: Taking taylor expansion of -1/2 in y 0.610 * [taylor]: Taking taylor expansion of (/ x y) in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.610 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.610 * [taylor]: Taking taylor expansion of -1/2 in y 0.610 * [taylor]: Taking taylor expansion of (/ x y) in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.610 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.610 * [taylor]: Taking taylor expansion of -1/2 in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of 0 in x 0.613 * [taylor]: Taking taylor expansion of 0 in x 0.616 * [taylor]: Taking taylor expansion of 0 in x 0.616 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.616 * [approximate]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in (y x) around 0 0.616 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in x 0.616 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.616 * [taylor]: Taking taylor expansion of 1/2 in x 0.616 * [taylor]: Taking taylor expansion of (/ y x) in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y 0.616 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.616 * [taylor]: Taking taylor expansion of 1/2 in y 0.616 * [taylor]: Taking taylor expansion of (/ y x) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y 0.616 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.616 * [taylor]: Taking taylor expansion of 1/2 in y 0.616 * [taylor]: Taking taylor expansion of (/ y x) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (neg x) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of 1/2 in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of 0 in x 0.621 * [taylor]: Taking taylor expansion of 0 in x 0.623 * [taylor]: Taking taylor expansion of 0 in x 0.629 * [approximate]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 0.629 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in x 0.629 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.629 * [taylor]: Taking taylor expansion of 1/2 in x 0.629 * [taylor]: Taking taylor expansion of (/ x y) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y 0.630 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.630 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.630 * [taylor]: Taking taylor expansion of 1/2 in y 0.630 * [taylor]: Taking taylor expansion of (/ x y) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y 0.630 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.630 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.630 * [taylor]: Taking taylor expansion of 1/2 in y 0.630 * [taylor]: Taking taylor expansion of (/ x y) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x 0.630 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.630 * [taylor]: Taking taylor expansion of 1/2 in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of 0 in x 0.638 * [taylor]: Taking taylor expansion of 0 in x 0.642 * [taylor]: Taking taylor expansion of 0 in x 0.643 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 0.643 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.644 * [taylor]: Taking taylor expansion of 1/2 in x 0.644 * [taylor]: Taking taylor expansion of (/ x y) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.644 * [taylor]: Taking taylor expansion of 1/2 in y 0.644 * [taylor]: Taking taylor expansion of (/ x y) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.644 * [taylor]: Taking taylor expansion of 1/2 in y 0.644 * [taylor]: Taking taylor expansion of (/ x y) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x 0.644 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.644 * [taylor]: Taking taylor expansion of 1/2 in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of 0 in x 0.651 * [taylor]: Taking taylor expansion of 0 in x 0.655 * [taylor]: Taking taylor expansion of 0 in x 0.656 * * * [progress]: simplifying candidates 0.657 * [simplify]: Simplifying using # : (* -1/2 (/ y x)) (+ (log -1/2) (- (log y) (log x))) (+ (log -1/2) (log (/ y x))) (log (* -1/2 (/ y x))) (exp (* -1/2 (/ y x))) (* (* (* -1/2 -1/2) -1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* -1/2 -1/2) -1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x))) (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* -1/2 (sqrt (/ y x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (sqrt y) (sqrt x))) (* -1/2 (/ (sqrt y) 1)) (* -1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* -1/2 (/ 1 (sqrt x))) (* -1/2 (/ 1 1)) (* -1/2 1) (* -1/2 y) (* (cbrt -1/2) (/ y x)) (* (sqrt -1/2) (/ y x)) (* -1/2 (/ y x)) (* -1/2 y) (/ (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) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (neg (+ x (* 1/2 (/ y x)))) (neg (+ x (* 1/2 (/ y x)))) (neg (+ x (* 1/2 (/ y x)))) 0.661 * * [simplify]: iteration 0 : 219 enodes (cost 205 ) 0.666 * * [simplify]: iteration 1 : 893 enodes (cost 190 ) 0.685 * * [simplify]: iteration 2 : 4202 enodes (cost 189 ) 0.753 * * [simplify]: iteration 3 : 5001 enodes (cost 189 ) 0.755 * [simplify]: Simplified to: (* -1/2 (/ y x)) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (exp (* -1/2 (/ y x))) (pow (* -1/2 (/ y x)) 3) (pow (* -1/2 (/ y x)) 3) (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x))) (pow (* -1/2 (/ y x)) 3) (sqrt (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* -1/2 (sqrt (/ y x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) -1/2) (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) -1/2) (/ -1/2 (* (cbrt x) (cbrt x))) (/ -1/2 (sqrt x)) -1/2 -1/2 (* -1/2 y) (* (cbrt -1/2) (/ y x)) (* (sqrt -1/2) (/ y x)) (* -1/2 (/ y x)) (* -1/2 y) (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)) (+ (* -1/2 (/ y x)) 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)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x) 0.755 * * * [progress]: adding candidates to table 0.817 * * [progress]: iteration 4 / 4 0.817 * * * [progress]: picking best candidate 0.819 * * * * [pick]: Picked # 0.819 * * * [progress]: localizing error 0.824 * * * [progress]: generating rewritten candidates 0.824 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.831 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.835 * * * [progress]: generating series expansions 0.835 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.835 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.835 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.835 * [taylor]: Taking taylor expansion of 1/2 in x 0.835 * [taylor]: Taking taylor expansion of (/ y x) in x 0.835 * [taylor]: Taking taylor expansion of y in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.835 * [taylor]: Taking taylor expansion of 1/2 in y 0.835 * [taylor]: Taking taylor expansion of (/ y x) in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.835 * [taylor]: Taking taylor expansion of x in y 0.835 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.835 * [taylor]: Taking taylor expansion of 1/2 in y 0.835 * [taylor]: Taking taylor expansion of (/ y x) in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of x in y 0.836 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.836 * [taylor]: Taking taylor expansion of 1/2 in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of 0 in x 0.838 * [taylor]: Taking taylor expansion of 0 in x 0.839 * [taylor]: Taking taylor expansion of 0 in x 0.840 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.840 * [taylor]: Taking taylor expansion of 1/2 in x 0.840 * [taylor]: Taking taylor expansion of (/ x y) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.840 * [taylor]: Taking taylor expansion of 1/2 in y 0.840 * [taylor]: Taking taylor expansion of (/ x y) in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.840 * [taylor]: Taking taylor expansion of 1/2 in y 0.840 * [taylor]: Taking taylor expansion of (/ x y) in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.840 * [taylor]: Taking taylor expansion of 1/2 in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of 0 in x 0.844 * [taylor]: Taking taylor expansion of 0 in x 0.846 * [taylor]: Taking taylor expansion of 0 in x 0.846 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.846 * [taylor]: Taking taylor expansion of 1/2 in x 0.846 * [taylor]: Taking taylor expansion of (/ x y) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.847 * [taylor]: Taking taylor expansion of 1/2 in y 0.847 * [taylor]: Taking taylor expansion of (/ x y) in y 0.847 * [taylor]: Taking taylor expansion of x in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.847 * [taylor]: Taking taylor expansion of 1/2 in y 0.847 * [taylor]: Taking taylor expansion of (/ x y) in y 0.847 * [taylor]: Taking taylor expansion of x in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.847 * [taylor]: Taking taylor expansion of 1/2 in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of 0 in x 0.850 * [taylor]: Taking taylor expansion of 0 in x 0.852 * [taylor]: Taking taylor expansion of 0 in x 0.853 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.853 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.853 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.853 * [taylor]: Taking taylor expansion of 1/2 in y 0.853 * [taylor]: Taking taylor expansion of (/ y x) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.853 * [taylor]: Taking taylor expansion of 1/2 in x 0.853 * [taylor]: Taking taylor expansion of (/ y x) in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.853 * [taylor]: Taking taylor expansion of 1/2 in x 0.853 * [taylor]: Taking taylor expansion of (/ y x) in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.853 * [taylor]: Taking taylor expansion of 1/2 in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.857 * [taylor]: Taking taylor expansion of 1 in y 0.860 * [taylor]: Taking taylor expansion of 0 in y 0.861 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.861 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.861 * [taylor]: Taking taylor expansion of 1/2 in y 0.861 * [taylor]: Taking taylor expansion of (/ x y) in y 0.861 * [taylor]: Taking taylor expansion of x in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.861 * [taylor]: Taking taylor expansion of x in y 0.861 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.861 * [taylor]: Taking taylor expansion of 1/2 in x 0.861 * [taylor]: Taking taylor expansion of (/ x y) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of y in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.861 * [taylor]: Taking taylor expansion of 1/2 in x 0.861 * [taylor]: Taking taylor expansion of (/ x y) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of y in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of 1 in y 0.863 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.863 * [taylor]: Taking taylor expansion of 1/2 in y 0.863 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of 0 in y 0.868 * [taylor]: Taking taylor expansion of 0 in y 0.868 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.868 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.868 * [taylor]: Taking taylor expansion of 1/2 in y 0.868 * [taylor]: Taking taylor expansion of (/ x y) in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.868 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.868 * [taylor]: Taking taylor expansion of 1/2 in x 0.868 * [taylor]: Taking taylor expansion of (/ x y) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.869 * [taylor]: Taking taylor expansion of 1/2 in x 0.869 * [taylor]: Taking taylor expansion of (/ x y) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of y in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of -1 in y 0.870 * [taylor]: Taking taylor expansion of 0 in y 0.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.871 * [taylor]: Taking taylor expansion of 1/2 in y 0.871 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of 0 in y 0.880 * [taylor]: Taking taylor expansion of 0 in y 0.881 * * * [progress]: simplifying candidates 0.881 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* (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))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.886 * * [simplify]: iteration 0 : 223 enodes (cost 199 ) 0.891 * * [simplify]: iteration 1 : 960 enodes (cost 186 ) 0.915 * * [simplify]: iteration 2 : 4224 enodes (cost 186 ) 0.988 * * [simplify]: iteration 3 : 5001 enodes (cost 186 ) 0.990 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (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))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.990 * * * [progress]: adding candidates to table 1.052 * [progress]: [Phase 3 of 3] Extracting. 1.052 * * [regime]: Finding splitpoints for: (# # # #) 1.052 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.052 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.069 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.080 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.100 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 1.112 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.135 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 1.150 * * * * [regimes]: Trying to branch on y from (# # # #) 1.176 * * * * [regimes]: Trying to branch on x from (# # # #) 1.202 * * * [regime]: Found split indices: #