25.994 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ (fabs (- x y)) (fabs y)) 0.017 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.019 * * [simplify]: iteration 1 : 9 enodes (cost 4 ) 0.020 * * [simplify]: iteration 2 : 9 enodes (cost 4 ) 0.020 * [simplify]: Simplified to: (/ (fabs (- x y)) (fabs y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.034 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.035 * [taylor]: Taking taylor expansion of (fabs y) in y 0.035 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.035 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.035 * [taylor]: Taking taylor expansion of (fabs y) in x 0.035 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.035 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.035 * [taylor]: Taking taylor expansion of (fabs y) in x 0.035 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.035 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.035 * [taylor]: Taking taylor expansion of (fabs y) in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [approximate]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.036 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.036 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.037 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.037 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.037 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.037 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.037 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.037 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.039 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.039 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.039 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.039 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.039 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.039 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.039 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.039 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.039 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.039 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.040 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * * * [progress]: simplifying candidates 0.042 * [simplify]: Simplifying using # : (expm1 (/ (fabs (- x y)) (fabs y))) (log1p (/ (fabs (- x y)) (fabs y))) (- (log (fabs (- x y))) (log (fabs y))) (log (/ (fabs (- x y)) (fabs y))) (exp (/ (fabs (- x y)) (fabs y))) (/ (* (* (fabs (- x y)) (fabs (- x y))) (fabs (- x y))) (* (* (fabs y) (fabs y)) (fabs y))) (* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y)))) (cbrt (/ (fabs (- x y)) (fabs y))) (* (* (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y))) (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (- (fabs (- x y))) (- (fabs y)) (/ (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (cbrt (fabs (- x y))) (cbrt (fabs y))) (/ (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) (sqrt (fabs y))) (/ (cbrt (fabs (- x y))) (sqrt (fabs y))) (/ (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) 1) (/ (cbrt (fabs (- x y))) (fabs y)) (/ (sqrt (fabs (- x y))) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (sqrt (fabs (- x y))) (cbrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) 1) (/ (sqrt (fabs (- x y))) (fabs y)) (/ 1 (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (fabs (- x y)) (cbrt (fabs y))) (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))) (/ 1 1) (/ (fabs (- x y)) (fabs y)) (/ 1 (fabs y)) (/ (fabs y) (fabs (- x y))) (/ (fabs (- x y)) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (fabs (- x y)) (sqrt (fabs y))) (/ (fabs (- x y)) 1) (/ (fabs y) (cbrt (fabs (- x y)))) (/ (fabs y) (sqrt (fabs (- x y)))) (/ (fabs y) (fabs (- x y))) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) 0.045 * * [simplify]: iteration 0 : 88 enodes (cost 236 ) 0.047 * * [simplify]: iteration 1 : 237 enodes (cost 218 ) 0.051 * * [simplify]: iteration 2 : 600 enodes (cost 218 ) 0.060 * * [simplify]: iteration 3 : 1536 enodes (cost 218 ) 0.086 * * [simplify]: iteration 4 : 4404 enodes (cost 218 ) 0.128 * * [simplify]: iteration 5 : 5002 enodes (cost 218 ) 0.130 * [simplify]: Simplified to: (expm1 (/ (fabs (- x y)) (fabs y))) (log1p (/ (fabs (- x y)) (fabs y))) (log (/ (fabs (- x y)) (fabs y))) (log (/ (fabs (- x y)) (fabs y))) (exp (/ (fabs (- x y)) (fabs y))) (pow (/ (fabs (- x y)) (fabs y)) 3) (* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y)))) (cbrt (/ (fabs (- x y)) (fabs y))) (pow (/ (fabs (- x y)) (fabs y)) 3) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (- (fabs (- x y))) (- (fabs y)) (/ (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (cbrt (fabs (- x y))) (cbrt (fabs y))) (/ (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) (sqrt (fabs y))) (/ (cbrt (fabs (- x y))) (sqrt (fabs y))) (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) (/ (cbrt (fabs (- x y))) (fabs y)) (/ (sqrt (fabs (- x y))) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (sqrt (fabs (- x y))) (cbrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)) (/ 1 (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (fabs (- x y)) (cbrt (fabs y))) (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))) 1 (/ (fabs (- x y)) (fabs y)) (/ 1 (fabs y)) (/ (fabs y) (fabs (- x y))) (/ (fabs (- x y)) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (fabs (- x y)) (sqrt (fabs y))) (fabs (- x y)) (/ (fabs y) (cbrt (fabs (- x y)))) (/ (fabs y) (sqrt (fabs (- x y)))) (/ (fabs y) (fabs (- x y))) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) 0.130 * * * [progress]: adding candidates to table 0.193 * * [progress]: iteration 2 / 4 0.193 * * * [progress]: picking best candidate 0.197 * * * * [pick]: Picked # 0.197 * * * [progress]: localizing error 0.212 * * * [progress]: generating rewritten candidates 0.212 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.235 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.240 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.245 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.256 * * * [progress]: generating series expansions 0.256 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.257 * [approximate]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.257 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.257 * [taylor]: Taking taylor expansion of (fabs y) in y 0.257 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.257 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.257 * [taylor]: Taking taylor expansion of (fabs y) in x 0.257 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.257 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.257 * [taylor]: Taking taylor expansion of (fabs y) in x 0.257 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.257 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.257 * [taylor]: Taking taylor expansion of (fabs y) in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [approximate]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.259 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.259 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.259 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.259 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.259 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.259 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.259 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.259 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.259 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.259 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.259 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [approximate]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in (x y) around 0 0.261 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.261 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.261 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.261 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.261 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.262 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.262 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.262 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.262 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.262 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.262 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.262 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.264 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.264 * [approximate]: Taking taylor expansion of (sqrt (/ (fabs (- x y)) (fabs y))) in (x y) around 0 0.264 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- x y)) (fabs y))) in y 0.264 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.264 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.264 * [taylor]: Taking taylor expansion of (fabs y) in y 0.264 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- x y)) (fabs y))) in x 0.264 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.264 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.264 * [taylor]: Taking taylor expansion of (fabs y) in x 0.265 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- x y)) (fabs y))) in x 0.265 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.265 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.265 * [taylor]: Taking taylor expansion of (fabs y) in x 0.265 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- x y)) (fabs y))) in y 0.265 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.265 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.265 * [taylor]: Taking taylor expansion of (fabs y) in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [approximate]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y)))) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y)))) in y 0.268 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.268 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.268 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.269 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y)))) in x 0.269 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.269 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.269 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.269 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y)))) in x 0.269 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.269 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.270 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.270 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y)))) in y 0.270 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.270 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.270 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [approximate]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y)))) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y)))) in y 0.274 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.274 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.274 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.274 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y)))) in x 0.274 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.274 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.275 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y)))) in x 0.275 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.275 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.275 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.276 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y)))) in y 0.276 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.276 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.276 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.279 * [approximate]: Taking taylor expansion of (sqrt (/ (fabs (- x y)) (fabs y))) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- x y)) (fabs y))) in y 0.279 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.279 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.279 * [taylor]: Taking taylor expansion of (fabs y) in y 0.280 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- x y)) (fabs y))) in x 0.280 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.280 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.280 * [taylor]: Taking taylor expansion of (fabs y) in x 0.280 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- x y)) (fabs y))) in x 0.280 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.280 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.280 * [taylor]: Taking taylor expansion of (fabs y) in x 0.280 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- x y)) (fabs y))) in y 0.280 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.280 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.280 * [taylor]: Taking taylor expansion of (fabs y) in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [approximate]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y)))) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y)))) in y 0.283 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.283 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.283 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.284 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y)))) in x 0.284 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.284 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.284 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.285 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y)))) in x 0.285 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.285 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.285 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.285 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y)))) in y 0.285 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.285 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.285 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [approximate]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y)))) in (x y) around 0 0.292 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y)))) in y 0.292 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.292 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.292 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.293 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y)))) in x 0.293 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.293 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.293 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.293 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y)))) in x 0.293 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.293 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.294 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.294 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y)))) in y 0.294 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.294 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.294 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.298 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.298 * [approximate]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in (x y) around 0 0.298 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.298 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.298 * [taylor]: Taking taylor expansion of (fabs y) in y 0.298 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.298 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.298 * [taylor]: Taking taylor expansion of (fabs y) in x 0.298 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.298 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.298 * [taylor]: Taking taylor expansion of (fabs y) in x 0.298 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.298 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.298 * [taylor]: Taking taylor expansion of (fabs y) in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [approximate]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.300 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.300 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.300 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.300 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.300 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.300 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.300 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.300 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.300 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.300 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.300 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [approximate]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in (x y) around 0 0.302 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.302 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.302 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.302 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.302 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.302 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.302 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.303 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.303 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.303 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.303 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.303 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.304 * * * [progress]: simplifying candidates 0.307 * [simplify]: Simplifying using # : (expm1 (* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))) (log1p (* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y))) (* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y)))) (* (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y))) (+ 1 1) (+ (log (sqrt (/ (fabs (- x y)) (fabs y)))) (log (sqrt (/ (fabs (- x y)) (fabs y))))) (log (* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))) (exp (* (sqrt (/ 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y))) (cbrt (fabs y))) (/ (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) (sqrt (fabs y))) (/ (cbrt (fabs (- x y))) (sqrt (fabs y))) (/ (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) 1) (/ (cbrt (fabs (- x y))) (fabs y)) (/ (sqrt (fabs (- x y))) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (sqrt (fabs (- x y))) (cbrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) 1) (/ (sqrt (fabs (- x y))) (fabs y)) (/ 1 (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (fabs (- x y)) (cbrt (fabs y))) (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))) (/ 1 1) (/ (fabs (- x y)) (fabs y)) (/ 1 (fabs y)) (/ (fabs y) (fabs (- x y))) (/ (fabs (- x y)) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (fabs (- x y)) (sqrt (fabs y))) (/ (fabs (- x y)) 1) (/ (fabs y) (cbrt (fabs (- x y)))) (/ (fabs y) (sqrt (fabs (- x y)))) (/ (fabs y) (fabs (- x y))) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) 0.315 * * [simplify]: iteration 0 : 241 enodes (cost 1615 ) 0.321 * * [simplify]: iteration 1 : 1158 enodes (cost 1494 ) 0.348 * * [simplify]: iteration 2 : 5001 enodes (cost 1460 ) 0.355 * [simplify]: Simplified to: (expm1 (/ (fabs (- x y)) (fabs y))) (log1p (/ (fabs (- x y)) (fabs y))) 1 1 2 1 1 (pow (sqrt (/ (fabs (- x y)) (fabs y))) 4) (/ (fabs (- x y)) (fabs y)) (pow (sqrt (/ (fabs (- x y)) (fabs y))) 4) 2 (log (/ (fabs (- x y)) (fabs y))) (log (/ (fabs (- x y)) (fabs y))) (exp (/ (fabs (- x y)) (fabs y))) (pow (/ (fabs (- x y)) (fabs y)) 3) (* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y)))) (cbrt (/ (fabs (- x y)) (fabs y))) (pow (/ (fabs (- x y)) (fabs y)) 3) (pow (sqrt (/ (fabs (- x y)) 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(fabs y))) 1 (/ (fabs (- x y)) (fabs y)) (/ 1 (fabs y)) (/ (fabs y) (fabs (- x y))) (/ (fabs (- x y)) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (fabs (- x y)) (sqrt (fabs y))) (fabs (- x y)) (/ (fabs y) (cbrt (fabs (- x y)))) (/ (fabs y) (sqrt (fabs (- x y)))) (/ (fabs y) (fabs (- x y))) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) 0.356 * * * [progress]: adding candidates to table 0.694 * [progress]: [Phase 3 of 3] Extracting. 0.694 * * [regime]: Finding splitpoints for: (# #) 0.694 * * * [regime-changes]: Trying 3 branch expressions: ((/ (fabs (- x y)) (fabs y)) y x) 0.694 * * * * [regimes]: Trying to branch on (/ (fabs (- x y)) (fabs y)) from (# #) 0.711 * * * * [regimes]: Trying to branch on y from (# #) 0.725 * * * * [regimes]: Trying to branch on x from (# #) 0.737 * * * [regime]: Found split indices: #