17.420 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (- x (* y y)) 0.016 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.018 * * [simplify]: iteration 2 : 10 enodes (cost 2 ) 0.018 * [simplify]: Simplified to: (- x (* y y)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.026 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of 1 in y 0.028 * [taylor]: Taking taylor expansion of 0 in y 0.029 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of 1 in y 0.034 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of -1 in y 0.047 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.061 * * * [progress]: simplifying candidates 0.061 * [simplify]: Simplifying using # : (/ (exp x) (exp (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (* (* (- x (* y y)) (- x (* y y))) (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y)))) (neg (* y y)) (- (* x x) (* (* y y) (* y y))) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (neg (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.064 * * [simplify]: iteration 0 : 76 enodes (cost 64 ) 0.066 * * [simplify]: iteration 1 : 239 enodes (cost 59 ) 0.070 * * [simplify]: iteration 2 : 647 enodes (cost 58 ) 0.084 * * [simplify]: iteration 3 : 2429 enodes (cost 58 ) 0.140 * * [simplify]: iteration 4 : 5002 enodes (cost 58 ) 0.141 * [simplify]: Simplified to: (exp (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (pow (- x (pow y 2)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x (+ x (* y y))) (pow y 4)) (neg (* y y)) (- (* x x) (* (* y y) (* y y))) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (neg (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.141 * * * [progress]: adding candidates to table 0.161 * * [progress]: iteration 2 / 4 0.161 * * * [progress]: picking best candidate 0.163 * * * * [pick]: Picked # 0.163 * * * [progress]: localizing error 0.168 * * * [progress]: generating rewritten candidates 0.168 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.187 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.197 * * * [progress]: generating series expansions 0.197 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.198 * [approximate]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in y 0.198 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in y 0.198 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in x 0.198 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.198 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in x 0.202 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.202 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of -1 in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (neg (* +nan.0 y)) in y 0.208 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.208 * [taylor]: Taking taylor expansion of +nan.0 in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 y) (neg +nan.0))) in y 0.217 * [taylor]: Taking taylor expansion of (+ (* +nan.0 y) (neg +nan.0)) in y 0.217 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.218 * [taylor]: Taking taylor expansion of +nan.0 in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.218 * [taylor]: Taking taylor expansion of +nan.0 in y 0.223 * [approximate]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in (x y) around 0 0.223 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in y 0.223 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 0.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 0.224 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 0.226 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0))) in y 0.239 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0)) in y 0.239 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.239 * [taylor]: Taking taylor expansion of +nan.0 in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) +nan.0) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of +nan.0 in y 0.249 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ 1 y)) (neg +nan.0))) in y 0.249 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (neg +nan.0)) in y 0.249 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.249 * [taylor]: Taking taylor expansion of +nan.0 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 (neg +nan.0) in y 0.249 * [taylor]: Taking taylor expansion of +nan.0 in y 0.261 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ 1 y)) (neg +nan.0))) in y 0.261 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (neg +nan.0)) in y 0.261 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.261 * [taylor]: Taking taylor expansion of +nan.0 in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.262 * [taylor]: Taking taylor expansion of +nan.0 in y 0.264 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in (x y) around 0 0.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.264 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.264 * [taylor]: Taking taylor expansion of -1 in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in y 0.264 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.264 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.264 * [taylor]: Taking taylor expansion of -1 in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.265 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.265 * [taylor]: Taking taylor expansion of -1 in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.266 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.266 * [taylor]: Taking taylor expansion of -1 in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.268 * [taylor]: Taking taylor expansion of -1 in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.269 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.269 * [taylor]: Taking taylor expansion of -1 in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0))) in y 0.278 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0)) in y 0.278 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.278 * [taylor]: Taking taylor expansion of +nan.0 in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) +nan.0) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of +nan.0 in y 0.287 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ 1 y)) (neg +nan.0))) in y 0.287 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (neg +nan.0)) in y 0.287 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.287 * [taylor]: Taking taylor expansion of +nan.0 in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.287 * [taylor]: Taking taylor expansion of +nan.0 in y 0.299 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ 1 y)) (neg +nan.0))) in y 0.300 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (neg +nan.0)) in y 0.300 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.300 * [taylor]: Taking taylor expansion of +nan.0 in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.300 * [taylor]: Taking taylor expansion of +nan.0 in y 0.302 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.302 * [approximate]: Taking taylor expansion of (- (sqrt x) y) in (x y) around 0 0.302 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in y 0.302 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.302 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.303 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of (neg y) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.305 * [taylor]: Taking taylor expansion of +nan.0 in y 0.308 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.308 * [taylor]: Taking taylor expansion of +nan.0 in y 0.309 * [approximate]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in (x y) around 0 0.309 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 0.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (neg +nan.0))) in y 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (neg +nan.0)) in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.316 * [taylor]: Taking taylor expansion of +nan.0 in y 0.319 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.319 * [taylor]: Taking taylor expansion of +nan.0 in y 0.324 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.324 * [taylor]: Taking taylor expansion of +nan.0 in y 0.326 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in (x y) around 0 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.326 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.326 * [taylor]: Taking taylor expansion of -1 in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.326 * [taylor]: Taking taylor expansion of -1 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.328 * [taylor]: Taking taylor expansion of -1 in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of +nan.0 in y 0.332 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.332 * [taylor]: Taking taylor expansion of +nan.0 in y 0.337 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.337 * [taylor]: Taking taylor expansion of +nan.0 in y 0.338 * * * [progress]: simplifying candidates 0.339 * [simplify]: Simplifying using # : (* (+ (sqrt x) y) (- (sqrt x) y)) (+ (log (+ (sqrt x) y)) (log (- (sqrt x) y))) (log (* (+ (sqrt x) y) (- (sqrt x) y))) (exp (* (+ (sqrt x) y) (- (sqrt x) y))) (* (* (* (+ (sqrt x) y) (+ (sqrt x) y)) (+ (sqrt x) y)) (* (* (- (sqrt x) y) (- (sqrt x) y)) (- (sqrt x) y))) (* (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y)))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (* (* (* (+ (sqrt x) y) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (sqrt x) y))) (* (+ (sqrt x) y) (- (sqrt x) y))) (sqrt (* (+ (sqrt x) y) (- (sqrt x) y))) (sqrt (* (+ (sqrt x) y) (- (sqrt x) y))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (* (sqrt x) (sqrt x)) (- (* y y) (* (sqrt x) y))) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y)))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (* (sqrt x) (sqrt x)) (* y y))) (* (+ (* (sqrt x) (sqrt x)) (- (* y y) (* (sqrt x) y))) (+ (sqrt x) y)) (* (- (* (sqrt x) (sqrt x)) (* y y)) (- (pow (sqrt x) 3) (pow y 3))) (* (- (sqrt x) y) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y)))) (* (- (* (sqrt x) (sqrt x)) (* y y)) (- (* (sqrt x) (sqrt x)) (* y y))) (* (- (sqrt x) y) (+ (sqrt x) y)) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (+ (sqrt x) y) (sqrt x)) (* (+ (sqrt x) y) (neg y)) (* (+ (sqrt x) y) (sqrt x)) (* (+ (sqrt x) y) (neg y)) (* (sqrt x) (+ (sqrt x) y)) (* (neg y) (+ (sqrt x) y)) (* (sqrt x) (+ (sqrt x) y)) (* (neg y) (+ (sqrt x) y)) (* (+ (sqrt x) y) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y)))) (* (+ (sqrt x) y) (sqrt (- (sqrt x) y))) (* (+ (sqrt x) y) 1) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ (sqrt x) y) 1) (* (cbrt (+ (sqrt x) y)) (- (sqrt x) y)) (* (sqrt (+ (sqrt x) y)) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (sqrt x) y) (- (* (sqrt x) (sqrt x)) (* y y))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (sqrt x) y)) (* (- (* (sqrt x) (sqrt x)) (* y y)) (- (sqrt x) y)) (/ (exp (sqrt x)) (exp y)) (log (- (sqrt x) y)) (exp (- (sqrt x) y)) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y))) (cbrt (- (sqrt x) y)) (* (* (- (sqrt x) y) (- (sqrt x) y)) (- (sqrt x) y)) (sqrt (- (sqrt x) y)) (sqrt (- (sqrt x) y)) (- (pow (sqrt x) 3) (pow y 3)) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y))) (neg y) (- (* (sqrt x) (sqrt x)) (* y y)) (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (- (sqrt x) y) (neg y) (neg (+ (* +nan.0 (pow x 2)) (- (pow y 2) (* +nan.0 (* x y))))) (neg (+ (pow y 2) (neg (+ (* +nan.0 (/ y x)) (neg (* +nan.0 y)))))) (neg (+ (pow y 2) (neg (+ (* +nan.0 (/ y x)) (neg (* +nan.0 y)))))) (neg (+ (* +nan.0 (pow x 2)) (- y (* +nan.0 x)))) (neg (+ +nan.0 (- y (* +nan.0 (/ 1 x))))) (neg (+ +nan.0 (- y (* +nan.0 (/ 1 x))))) 0.343 * * [simplify]: iteration 0 : 272 enodes (cost 376 ) 0.349 * * [simplify]: iteration 1 : 1172 enodes (cost 325 ) 0.372 * * [simplify]: iteration 2 : 5001 enodes (cost 314 ) 0.374 * [simplify]: Simplified to: (- x (pow y 2)) (log (- x (pow y 2))) (log (- x (pow y 2))) (exp (- x (pow y 2))) (pow (- x (pow y 2)) 3) (* (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y)))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (pow (- x (pow y 2)) 3) (sqrt (* (+ (sqrt x) y) (- (sqrt x) y))) (sqrt (* (+ (sqrt x) y) (- (sqrt x) y))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (* y (+ y (sqrt x))) x) (+ (* y (- y (sqrt x))) x)) (* (+ (pow (sqrt x) 3) (pow y 3)) (- x (pow y 2))) (* (+ (sqrt x) y) (+ (* y (- y (sqrt x))) x)) (* (- x (pow y 2)) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (* y (+ y (sqrt x))) x) (- (sqrt x) y)) (* (+ x (neg (pow y 2))) (+ x (neg (pow y 2)))) (- x (pow y 2)) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (+ x (* (sqrt x) y)) (* (neg y) (+ (sqrt x) y)) (+ x (* (sqrt x) y)) (* (neg y) (+ (sqrt x) y)) (+ x (* (sqrt x) y)) (* (neg y) (+ (sqrt x) y)) (+ x (* (sqrt x) y)) (* (neg y) (+ (sqrt x) y)) (* (+ (sqrt x) y) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y)))) (* (+ (sqrt x) y) (sqrt (- (sqrt x) y))) (+ (sqrt x) y) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (+ (sqrt x) y) (* (cbrt (+ (sqrt x) y)) (- (sqrt x) y)) (* (sqrt (+ (sqrt x) y)) (- (sqrt x) y)) (- x (pow y 2)) (- x (pow y 2)) (* (+ (sqrt x) y) (- (pow (sqrt x) 3) (pow y 3))) (* (+ x (neg (pow y 2))) (+ (sqrt x) y)) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (sqrt x) y)) (* (- (sqrt x) y) (+ x (neg (pow y 2)))) (exp (- (sqrt x) y)) (log (- (sqrt x) y)) (exp (- (sqrt x) y)) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y))) (cbrt (- (sqrt x) y)) (pow (- (sqrt x) y) 3) (sqrt (- (sqrt x) y)) (sqrt (- (sqrt x) y)) (- (pow (sqrt x) 3) (pow y 3)) (+ (* y (+ y (sqrt x))) x) (neg y) (- x (pow y 2)) (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (- (sqrt x) y) (neg y) (- (neg (* +nan.0 (pow x 2))) (* y (- y (* +nan.0 x)))) (+ (* +nan.0 (- (/ y x) y)) (neg (pow y 2))) (+ (* +nan.0 (- (/ y x) y)) (neg (pow y 2))) (neg (+ (* +nan.0 (pow x 2)) (- y (* +nan.0 x)))) (+ (neg (+ +nan.0 y)) (/ +nan.0 x)) (+ (neg (+ +nan.0 y)) (/ +nan.0 x)) 0.374 * * * [progress]: adding candidates to table 0.456 * [progress]: [Phase 3 of 3] Extracting. 0.456 * * [regime]: Finding splitpoints for: (# #) 0.457 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (- x (* y y)) y x) 0.457 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.466 * * * * [regimes]: Trying to branch on (- x (* y y)) from (# #) 0.479 * * * * [regimes]: Trying to branch on y from (# #) 0.490 * * * * [regimes]: Trying to branch on x from (# #) 0.501 * * * [regime]: Found split indices: #