1.984 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (- x (* y y)) 0.019 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.020 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.021 * * [simplify]: iteration 2 : 10 enodes (cost 2 ) 0.021 * [simplify]: Simplified to: (- x (* y y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.030 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of x in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of 1 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of 1 in y 0.038 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of -1 in y 0.051 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * * * [progress]: simplifying candidates 0.062 * [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)) 0.065 * * [simplify]: iteration 0 : 76 enodes (cost 64 ) 0.067 * * [simplify]: iteration 1 : 239 enodes (cost 59 ) 0.072 * * [simplify]: iteration 2 : 647 enodes (cost 58 ) 0.086 * * [simplify]: iteration 3 : 2429 enodes (cost 58 ) 0.143 * * [simplify]: iteration 4 : 5002 enodes (cost 58 ) 0.143 * [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)) 0.144 * * * [progress]: adding candidates to table 0.165 * * [progress]: iteration 2 / 4 0.165 * * * [progress]: picking best candidate 0.168 * * * * [pick]: Picked # 0.168 * * * [progress]: localizing error 0.174 * * * [progress]: generating rewritten candidates 0.174 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.184 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.187 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.192 * * * [progress]: generating series expansions 0.192 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.193 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of 1 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of 1 in y 0.201 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [approximate]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 (pow y 2)) (/ 1 x)))) 2) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 (pow y 2)) (/ 1 x)))) 2) in y 0.212 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 (pow y 2)) (/ 1 x)))) in y 0.212 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 (pow y 2)) (/ 1 x)))) 2) in x 0.215 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 (pow y 2)) (/ 1 x)))) in x 0.215 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (/ 1 (pow y 2)) (/ 1 x)))) 2) in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 (pow y 2)) (/ 1 x)))) in x 0.217 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of +nan.0 in y 0.222 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ 1 (pow y 2))) (neg +nan.0))) in y 0.222 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (neg +nan.0)) in y 0.222 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.222 * [taylor]: Taking taylor expansion of +nan.0 in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.223 * [taylor]: Taking taylor expansion of +nan.0 in y 0.227 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ 1 (pow y 4))) (neg (+ (* +nan.0 (/ 1 (pow y 2))) (neg +nan.0))))) in y 0.227 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 4))) (neg (+ (* +nan.0 (/ 1 (pow y 2))) (neg +nan.0)))) in y 0.227 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 4))) in y 0.227 * [taylor]: Taking taylor expansion of +nan.0 in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ 1 (pow y 2))) (neg +nan.0))) in y 0.228 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (neg +nan.0)) in y 0.228 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.228 * [taylor]: Taking taylor expansion of +nan.0 in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of (neg +nan.0) in y 0.229 * [taylor]: Taking taylor expansion of +nan.0 in y 0.236 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.236 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of 1 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of 1 in y 0.244 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of -1 in y 0.261 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.272 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 1 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.277 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [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 0.278 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.291 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.291 * [taylor]: Taking taylor expansion of x in y 0.291 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of -1 in y 0.293 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.304 * * * [progress]: simplifying candidates 0.306 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (- x (* y y)) (- x (* y y))) (* (sqrt (- x (* y y))) (sqrt (- x (* y y)))) (* (- x (* y y)) (- x (* y y))) (+ 1 1) (+ (log (sqrt (- x (* y y)))) (log (sqrt (- x (* y y))))) (log (* (sqrt (- x (* y y))) (sqrt (- x (* y y))))) (exp (* (sqrt (- x (* y y))) (sqrt (- x (* y y))))) (* (* (* (sqrt (- x (* y y))) (sqrt (- x (* y y)))) (sqrt (- x (* y y)))) (* (* (sqrt (- x (* y y))) (sqrt (- x (* y y)))) (sqrt (- x (* y y))))) (* (cbrt (* (sqrt (- x (* y y))) (sqrt (- x (* y y))))) (cbrt (* (sqrt (- x (* y y))) (sqrt (- x (* y y)))))) (cbrt (* (sqrt (- x (* y y))) (sqrt (- x (* y y))))) (* (* (* (sqrt (- x (* y y))) (sqrt (- x (* y y)))) (* (sqrt (- x (* y y))) (sqrt (- x (* y y))))) (* (sqrt (- x (* y y))) (sqrt (- x (* y y))))) (* (- x (* y y)) (- x (* y y))) (sqrt (* (sqrt (- x (* y y))) (sqrt (- x (* y y))))) (sqrt (* (sqrt (- x (* y y))) (sqrt (- x (* y y))))) (* (sqrt (- (pow x 3) (pow (* y y) 3))) (sqrt (- (pow x 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y))))) (sqrt (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y)))))) (* (sqrt (- (pow x 3) (pow (* y y) 3))) (sqrt (- (* x x) (* (* y y) (* y y))))) (* (sqrt (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y))))) (sqrt (+ x (* y y)))) (* (sqrt (- (* x x) (* (* y y) (* y y)))) (sqrt (- (pow x 3) (pow (* y y) 3)))) (* (sqrt (+ x (* y y))) (sqrt (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y)))))) (* (sqrt (- (* x x) (* (* y y) (* y y)))) (sqrt (- (* x x) (* (* y y) (* y y))))) (* (sqrt (+ x (* y y))) (sqrt (+ x (* y y)))) (* (* (cbrt (sqrt (- x (* y y)))) (cbrt (sqrt (- x (* y y))))) (* (cbrt (sqrt (- x (* y y)))) (cbrt (sqrt (- x (* y y)))))) (* (cbrt (sqrt (- x (* y y)))) (cbrt (sqrt (- x (* y y))))) (* (sqrt (* (cbrt (- x (* y y))) (cbrt (- x (* y y))))) (sqrt (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))))) (* (sqrt (cbrt (- x (* y y)))) (sqrt (cbrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- x (* y y))) (sqrt (- x (* y y)))) (* (sqrt (+ (sqrt x) y)) (sqrt (+ (sqrt x) y))) (* (sqrt (- (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* 1 1) (* (sqrt (- x (* y y))) (sqrt (- x (* y y)))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (sqrt (- x (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (- x (* y y))) (* (cbrt (sqrt (- x (* y y)))) (cbrt (sqrt (- x (* y y)))))) (* (sqrt (- x (* y y))) (sqrt (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))))) (* (sqrt (- x (* y y))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (- x (* y y))) (sqrt 1)) (* (sqrt (- x (* y y))) (sqrt (+ (sqrt x) y))) (* (sqrt (- x (* y y))) (sqrt (sqrt (- x (* y y))))) (* (sqrt (- x (* y y))) 1) (* (cbrt (sqrt (- x (* y y)))) (sqrt (- x (* y y)))) (* (sqrt (cbrt (- x (* y y)))) (sqrt (- x (* y y)))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (- x (* y y)))) (* (sqrt (- x (* y y))) (sqrt (- x (* y y)))) (* (sqrt (- (sqrt x) y)) (sqrt (- x (* y y)))) (* (sqrt (sqrt (- x (* y y)))) (sqrt (- x (* y y)))) (* (sqrt (- x (* y y))) (sqrt (- x (* y y)))) (* (sqrt (- x (* y y))) (sqrt (- (pow x 3) (pow (* y y) 3)))) (* (sqrt (- x (* y y))) (sqrt (- (* x x) (* (* y y) (* y y))))) (* (sqrt (- (pow x 3) (pow (* y y) 3))) (sqrt (- x (* y y)))) (* (sqrt (- (* x x) (* (* y y) (* y y)))) (sqrt (- x (* y y)))) (/ (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)) (/ (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)) (neg (+ (* +nan.0 (/ (pow y 2) x)) (neg (+ (* +nan.0 (/ (pow y 2) (pow x 2))) (neg +nan.0))))) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.311 * * [simplify]: iteration 0 : 205 enodes (cost 496 ) 0.316 * * [simplify]: iteration 1 : 788 enodes (cost 445 ) 0.336 * * [simplify]: iteration 2 : 4435 enodes (cost 427 ) 0.475 * * [simplify]: iteration 3 : 5002 enodes (cost 414 ) 0.478 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (- x (* y y))) 4) (- x (* y y)) (pow (sqrt (- x (* y y))) 4) 2 (log (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (pow (- x (* y y)) 3) (pow (sqrt (cbrt (- x (* y y)))) 4) (cbrt (- x (* y y))) (pow (- x (* y y)) 3) (pow (sqrt (- x (* y y))) 4) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x (+ (pow y 2) x)) (pow y 4)) (* (sqrt (- (pow x 3) (pow (* y y) 3))) (sqrt (- (* x x) (* (* y y) (* y y))))) (* (sqrt (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y))))) (sqrt (+ x (* y y)))) (* (sqrt (- (pow x 3) (pow (* y y) 3))) (sqrt (- (* x x) (* (* y y) (* y y))))) (* (sqrt (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y))))) (sqrt (+ x (* y y)))) (- (pow x 2) (pow y 4)) (+ x (* y y)) (pow (cbrt (sqrt (- x (* y y)))) 4) (* (cbrt (sqrt (- x (* y y)))) (cbrt (sqrt (- x (* y y))))) (pow (sqrt (cbrt (- x (* y y)))) 4) (cbrt (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) 1 (- x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) 1 (- x (* y y)) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) 1 2 1 (pow (cbrt (sqrt (- x (* y y)))) 5) (* (fabs (cbrt (- x (* y y)))) (sqrt (- x (* y y)))) (pow (sqrt (sqrt (- x (* y y)))) 3) (sqrt (- x (* y y))) (* (sqrt (- x (* y y))) (sqrt (+ (sqrt x) y))) (pow (sqrt (sqrt (- x (* y y)))) 3) (sqrt (- x (* y y))) (pow (cbrt (sqrt (- x (* y y)))) 4) (* (sqrt (cbrt (- x (* y y)))) (sqrt (- x (* y y)))) (pow (sqrt (sqrt (- x (* y y)))) 3) (- x (* y y)) (* (sqrt (- (sqrt x) y)) (sqrt (- x (* y y)))) (pow (sqrt (sqrt (- x (* y y)))) 3) (- x (* y y)) (* (sqrt (- x (* y y))) (sqrt (- (pow x 3) (pow (* y y) 3)))) (* (sqrt (- x (* y y))) (sqrt (- (* x x) (* (* y y) (* y y))))) (* (sqrt (- x (* y y))) (sqrt (- (pow x 3) (pow (* y y) 3)))) (* (sqrt (- x (* y y))) (sqrt (- (* x x) (* (* y y) (* y y))))) (exp (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (pow (sqrt (cbrt (- x (* y y)))) 4) (cbrt (- x (* y y))) (pow (- x (* y y)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x (+ (pow y 2) x)) (pow y 4)) (neg (* y y)) (- (pow x 2) (pow y 4)) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (neg (* y y)) (exp (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (pow (sqrt (cbrt (- x (* y y)))) 4) (cbrt (- x (* y y))) (pow (- x (* y y)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x (+ (pow y 2) x)) (pow y 4)) (neg (* y y)) (- (pow x 2) (pow y 4)) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (neg (* y y)) (- x (* y y)) (- x (* y y)) (- (- (* +nan.0 (/ (pow y 2) (pow x 2))) +nan.0) (* +nan.0 (/ (pow y 2) x))) (- x (* y y)) (- x (* y y)) (- x (* y y)) (- x (* y y)) (- x (* y y)) (- x (* y y)) 0.479 * * * [progress]: adding candidates to table 0.607 * [progress]: [Phase 3 of 3] Extracting. 0.607 * * [regime]: Finding splitpoints for: (# #) 0.607 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (- x (* y y)) y x) 0.607 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.618 * * * * [regimes]: Trying to branch on (- x (* y y)) from (# #) 0.631 * * * * [regimes]: Trying to branch on y from (# #) 0.642 * * * * [regimes]: Trying to branch on x from (# #) 0.653 * * * [regime]: Found split indices: #