4.385 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying using # : (- (pow x 4.0) (pow y 4.0)) 0.042 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.043 * * [simplify]: iteration 1 : 29 enodes (cost 3 ) 0.044 * * [simplify]: iteration 2 : 68 enodes (cost 3 ) 0.046 * * [simplify]: iteration 3 : 204 enodes (cost 3 ) 0.051 * * [simplify]: iteration 4 : 776 enodes (cost 3 ) 0.069 * * [simplify]: iteration 5 : 3986 enodes (cost 3 ) 0.172 * * [simplify]: iteration 6 : 5002 enodes (cost 3 ) 0.172 * [simplify]: Simplified to: (- (pow x 4.0) (pow y 4.0)) 0.172 * * [progress]: iteration 1 / 4 0.172 * * * [progress]: picking best candidate 0.174 * * * * [pick]: Picked # 0.174 * * * [progress]: localizing error 0.180 * * * [progress]: generating rewritten candidates 0.180 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.187 * * * [progress]: generating series expansions 0.187 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.188 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.188 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.192 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.193 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.194 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.195 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of 1 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.203 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.214 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.215 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.216 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of 1 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.228 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.239 * * * [progress]: simplifying candidates 0.239 * [simplify]: Simplifying using # : (/ (exp (pow x 4.0)) (exp (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (* (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0)))) (- (pow y 4.0)) (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0.242 * * [simplify]: iteration 0 : 126 enodes (cost 172 ) 0.245 * * [simplify]: iteration 1 : 340 enodes (cost 165 ) 0.252 * * [simplify]: iteration 2 : 1287 enodes (cost 165 ) 0.281 * * [simplify]: iteration 3 : 5001 enodes (cost 165 ) 0.282 * [simplify]: Simplified to: (exp (- (pow x 4.0) (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (pow (- (pow x 4.0) (pow y 4.0)) 3) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (* (pow y 4.0) (+ (pow y 4.0) (pow x 4.0))) (pow x (* 2 4.0))) (- (pow y 4.0)) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0.282 * * * [progress]: adding candidates to table 0.343 * * [progress]: iteration 2 / 4 0.343 * * * [progress]: picking best candidate 0.345 * * * * [pick]: Picked # 0.345 * * * [progress]: localizing error 0.354 * * * [progress]: generating rewritten candidates 0.354 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.371 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.377 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.390 * * * [progress]: generating series expansions 0.390 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.392 * [approximate]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.392 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in y 0.392 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 0.392 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 0.392 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (* -1 (pow y 4)) in y 0.393 * [taylor]: Taking taylor expansion of -1 in y 0.393 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.401 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.401 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.402 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.403 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of 1 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.438 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.438 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.439 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of 1 in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.456 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.477 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.478 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [taylor]: Taking taylor expansion of 1 in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of 1 in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of 1 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.505 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.506 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.506 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 1 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.513 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of 1 in y 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.525 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of 1 in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of 0 in y 0.535 * [taylor]: Taking taylor expansion of 0 in y 0.537 * * * [progress]: simplifying candidates 0.538 * [simplify]: Simplifying using # : (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (+ (log (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (log (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (log (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (exp (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (* (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (* (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (cbrt (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (cbrt (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))))) (cbrt (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (* (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (sqrt (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (sqrt (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (+ (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3)) (- (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3))) (* (+ (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (- (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2))) (* (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (+ (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (+ (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2))) (* (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))))) (* (+ (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3)) (- (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (+ (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (- (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2))) (* (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (- (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2)))) (- (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3))) (* (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (+ (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2))) (* (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))))) (* (- (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2)))) (- (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (pow x (/ 4.0 2))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow y (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (pow x (/ 4.0 2))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow y (/ 4.0 2)))) (* (pow x (/ 4.0 2)) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (- (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (pow x (/ 4.0 2)) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (- (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (* (cbrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (cbrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) 1) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow (sqrt x) (/ 4.0 2)) (pow (sqrt y) (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow (sqrt x) (/ 4.0 2)) (sqrt (pow y (/ 4.0 2))))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow (sqrt x) (/ 4.0 2)) (pow y (/ (/ 4.0 2) 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (sqrt (pow x (/ 4.0 2))) (pow (sqrt y) (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (sqrt (pow x (/ 4.0 2))) (sqrt (pow y (/ 4.0 2))))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (sqrt (pow x (/ 4.0 2))) (pow y (/ (/ 4.0 2) 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (/ (/ 4.0 2) 2)) (pow (sqrt y) (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (/ (/ 4.0 2) 2)) (sqrt (pow y (/ 4.0 2))))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (/ (/ 4.0 2) 2)) (pow y (/ (/ 4.0 2) 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (pow 1 (/ 4.0 2))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) 1) (* (cbrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (+ (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3)) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (- (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2)))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (exp (pow x (/ 4.0 2))) (exp (pow y (/ 4.0 2)))) (log (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (exp (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (cbrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (cbrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (cbrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (+ (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3)) (+ (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (- (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2))) (* (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (- (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2)))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (/ (exp (pow x (/ 4.0 2))) (exp (pow y (/ 4.0 2)))) (log (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (exp (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (cbrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (cbrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (cbrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (* (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (- (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3)) (+ (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (+ (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2))) (* (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (- (pow y (/ 4.0 2))) (- (* (pow x (/ 4.0 2)) (pow x (/ 4.0 2))) (* (pow y (/ 4.0 2)) (pow y (/ 4.0 2)))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow (sqrt x) (/ 4.0 2)) (pow (sqrt y) (/ 4.0 2))) (- (pow (sqrt x) (/ 4.0 2)) (pow (sqrt y) (/ 4.0 2))) (+ (pow (sqrt x) (/ 4.0 2)) (sqrt (pow y (/ 4.0 2)))) (- (pow (sqrt x) (/ 4.0 2)) (sqrt (pow y (/ 4.0 2)))) (+ (pow (sqrt x) (/ 4.0 2)) (pow y (/ (/ 4.0 2) 2))) (- (pow (sqrt x) (/ 4.0 2)) (pow y (/ (/ 4.0 2) 2))) (+ (sqrt (pow x (/ 4.0 2))) (pow (sqrt y) (/ 4.0 2))) (- (sqrt (pow x (/ 4.0 2))) (pow (sqrt y) (/ 4.0 2))) (+ (sqrt (pow x (/ 4.0 2))) (sqrt (pow y (/ 4.0 2)))) (- (sqrt (pow x (/ 4.0 2))) (sqrt (pow y (/ 4.0 2)))) (+ (sqrt (pow x (/ 4.0 2))) (pow y (/ (/ 4.0 2) 2))) (- (sqrt (pow x (/ 4.0 2))) (pow y (/ (/ 4.0 2) 2))) (+ (pow x (/ (/ 4.0 2) 2)) (pow (sqrt y) (/ 4.0 2))) (- (pow x (/ (/ 4.0 2) 2)) (pow (sqrt y) (/ 4.0 2))) (+ (pow x (/ (/ 4.0 2) 2)) (sqrt (pow y (/ 4.0 2)))) (- (pow x (/ (/ 4.0 2) 2)) (sqrt (pow y (/ 4.0 2)))) (+ (pow x (/ (/ 4.0 2) 2)) (pow y (/ (/ 4.0 2) 2))) (- (pow x (/ (/ 4.0 2) 2)) (pow y (/ (/ 4.0 2) 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow y (/ 4.0 2))) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.545 * * [simplify]: iteration 0 : 327 enodes (cost 1045 ) 0.551 * * [simplify]: iteration 1 : 1565 enodes (cost 962 ) 0.584 * * [simplify]: iteration 2 : 5001 enodes (cost 956 ) 0.589 * [simplify]: Simplified to: (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2))))) (log (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2)))))) (log (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2)))))) (/ (exp (pow x (* 2 (/ 4.0 2)))) (exp (pow y (* 2 (/ 4.0 2))))) (pow (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2))))) 3) (* (cbrt (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (cbrt (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))))) (cbrt (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (pow (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2))))) 3) (sqrt (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (sqrt (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (+ (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3)) (- (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3))) (* (+ (* (pow y (/ 4.0 2)) (+ (pow y (/ 4.0 2)) (pow x (/ 4.0 2)))) (pow x (* 2 (/ 4.0 2)))) (+ (* (pow y (/ 4.0 2)) (- (pow y (/ 4.0 2)) (pow x (/ 4.0 2)))) (pow x (* 2 (/ 4.0 2))))) (* (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2))))) (+ (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (* (pow y (/ 4.0 2)) (- (pow y (/ 4.0 2)) (pow x (/ 4.0 2)))) (pow x (* 2 (/ 4.0 2))))) (* (- (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3)) (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2)))))) (* (+ (* (pow y (/ 4.0 2)) (+ (pow y (/ 4.0 2)) (pow x (/ 4.0 2)))) (pow x (* 2 (/ 4.0 2)))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2))))) (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2)))))) (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2))))) (* (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (* (pow x (/ 4.0 2)) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (- (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (pow x (/ 4.0 2)) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (- (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (pow x (/ 4.0 2)) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (- (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (pow x (/ 4.0 2)) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (- (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (* (cbrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (cbrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow (sqrt x) (/ 4.0 2)) (pow (sqrt y) (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow (sqrt x) (/ 4.0 2)) (sqrt (pow y (/ 4.0 2))))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow (sqrt x) (/ 4.0 2)) (pow y (/ (/ 4.0 2) 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (sqrt (pow x (/ 4.0 2))) (pow (sqrt y) (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (sqrt (pow x (/ 4.0 2))) (sqrt (pow y (/ 4.0 2))))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (sqrt (pow x (/ 4.0 2))) (pow y (/ (/ 4.0 2) 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (/ (/ 4.0 2) 2)) (pow (sqrt y) (/ 4.0 2)))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (/ (/ 4.0 2) 2)) (sqrt (pow y (/ 4.0 2))))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (/ (/ 4.0 2) 2)) (pow y (/ (/ 4.0 2) 2)))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (* (cbrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2))))) (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2))))) (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2))))) (* (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3))) (* (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2))))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (+ (pow (pow x (/ 4.0 2)) 3) (pow (pow y (/ 4.0 2)) 3)) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2)))))) (exp (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (log (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (exp (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (* (cbrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (cbrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (cbrt (+ (pow x 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(+ (pow y (/ 4.0 2)) (pow x (/ 4.0 2)))) (pow x (* 2 (/ 4.0 2)))) (- (pow y (/ 4.0 2))) (+ (pow x (* 2 (/ 4.0 2))) (- (pow y (* 2 (/ 4.0 2))))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (+ (pow (sqrt x) (/ 4.0 2)) (pow (sqrt y) (/ 4.0 2))) (- (pow (sqrt x) (/ 4.0 2)) (pow (sqrt y) (/ 4.0 2))) (+ (pow (sqrt x) (/ 4.0 2)) (sqrt (pow y (/ 4.0 2)))) (- (pow (sqrt x) (/ 4.0 2)) (sqrt (pow y (/ 4.0 2)))) (+ (pow (sqrt x) (/ 4.0 2)) (pow y (/ (/ 4.0 2) 2))) (- (pow (sqrt x) (/ 4.0 2)) (pow y (/ (/ 4.0 2) 2))) (+ (sqrt (pow x (/ 4.0 2))) (pow (sqrt y) (/ 4.0 2))) (- (sqrt (pow x (/ 4.0 2))) (pow (sqrt y) (/ 4.0 2))) (+ (sqrt (pow x (/ 4.0 2))) (sqrt (pow y (/ 4.0 2)))) (- (sqrt (pow x (/ 4.0 2))) (sqrt (pow y (/ 4.0 2)))) (+ (sqrt (pow x (/ 4.0 2))) (pow y (/ (/ 4.0 2) 2))) (- (sqrt (pow x (/ 4.0 2))) (pow y (/ (/ 4.0 2) 2))) (+ (pow x (/ (/ 4.0 2) 2)) (pow (sqrt y) (/ 4.0 2))) (- (pow x (/ (/ 4.0 2) 2)) (pow (sqrt y) (/ 4.0 2))) (+ (pow x (/ (/ 4.0 2) 2)) (sqrt (pow y (/ 4.0 2)))) (- (pow x (/ (/ 4.0 2) 2)) (sqrt (pow y (/ 4.0 2)))) (+ (pow x (/ (/ 4.0 2) 2)) (pow y (/ (/ 4.0 2) 2))) (- (pow x (/ (/ 4.0 2) 2)) (pow y (/ (/ 4.0 2) 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow y (/ 4.0 2))) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.589 * * * [progress]: adding candidates to table 0.818 * [progress]: [Phase 3 of 3] Extracting. 0.818 * * [regime]: Finding splitpoints for: (# #) 0.818 * * * [regime-changes]: Trying 5 branch expressions: ((pow y 4.0) (pow x 4.0) (- (pow x 4.0) (pow y 4.0)) y x) 0.818 * * * * [regimes]: Trying to branch on (pow y 4.0) from (# #) 0.833 * * * * [regimes]: Trying to branch on (pow x 4.0) from (# #) 0.847 * * * * [regimes]: Trying to branch on (- (pow x 4.0) (pow y 4.0)) from (# #) 0.869 * * * * [regimes]: Trying to branch on y from (# #) 0.880 * * * * [regimes]: Trying to branch on x from (# #) 0.892 * * * [regime]: Found split indices: #