22.152 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (fabs (- x y))) 0.020 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 8 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (sqrt (fabs (- x y))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [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 (sqrt (fabs (- x y))) in (x y) around 0 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.030 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.030 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.030 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.031 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.031 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.033 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.033 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.033 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.034 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.034 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.034 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [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 (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.036 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.036 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.036 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.036 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.036 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * * * [progress]: simplifying candidates 0.039 * [simplify]: Simplifying using # : (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt 1) (sqrt (fabs (- x y))) (/ 1 2) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.041 * * [simplify]: iteration 0 : 28 enodes (cost 72 ) 0.043 * * [simplify]: iteration 1 : 32 enodes (cost 70 ) 0.044 * * [simplify]: iteration 2 : 35 enodes (cost 70 ) 0.045 * * [simplify]: iteration 3 : 40 enodes (cost 70 ) 0.047 * * [simplify]: iteration 4 : 59 enodes (cost 70 ) 0.049 * * [simplify]: iteration 5 : 113 enodes (cost 70 ) 0.053 * * [simplify]: iteration 6 : 540 enodes (cost 70 ) 0.067 * * [simplify]: iteration 7 : 1779 enodes (cost 69 ) 0.130 * * [simplify]: iteration 8 : 5002 enodes (cost 69 ) 0.131 * [simplify]: Simplified to: (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) 1/2 (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.131 * * * [progress]: adding candidates to table 0.163 * * [progress]: iteration 2 / 4 0.163 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.172 * * * [progress]: generating rewritten candidates 0.172 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.185 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.186 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.187 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.195 * * * [progress]: generating series expansions 0.195 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.196 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.196 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.196 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.196 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.196 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.196 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.196 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [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 (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.198 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.199 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.199 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.199 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.199 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.199 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.199 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.201 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.202 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.202 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.202 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.202 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.202 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.202 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.204 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.204 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.204 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.204 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.204 * [taylor]: Taking taylor expansion of 1/4 in y 0.204 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.204 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.205 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.205 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.205 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.205 * [taylor]: Taking taylor expansion of 1/4 in x 0.205 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.205 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.205 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.205 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.205 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.205 * [taylor]: Taking taylor expansion of 1/4 in x 0.205 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.205 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.205 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.205 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.205 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.205 * [taylor]: Taking taylor expansion of 1/4 in y 0.205 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.205 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.217 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.217 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.217 * [taylor]: Taking taylor expansion of 1/4 in y 0.217 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.217 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.217 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.217 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.217 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.217 * [taylor]: Taking taylor expansion of 1/4 in x 0.217 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.217 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.218 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.218 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.218 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.218 * [taylor]: Taking taylor expansion of 1/4 in x 0.218 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.218 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.218 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.218 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.218 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.218 * [taylor]: Taking taylor expansion of 1/4 in y 0.218 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.218 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.230 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.230 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.230 * [taylor]: Taking taylor expansion of 1/4 in y 0.230 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.230 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.231 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.231 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.231 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.231 * [taylor]: Taking taylor expansion of 1/4 in x 0.231 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.231 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.231 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.231 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.231 * [taylor]: Taking taylor expansion of 1/4 in x 0.231 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.231 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.232 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.232 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.232 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.232 * [taylor]: Taking taylor expansion of 1/4 in y 0.232 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.232 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.244 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.244 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.244 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.244 * [taylor]: Taking taylor expansion of 1/4 in y 0.244 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.244 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.244 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.244 * [taylor]: Taking taylor expansion of 1/4 in x 0.245 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.245 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.245 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.245 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.245 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.245 * [taylor]: Taking taylor expansion of 1/4 in x 0.245 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.245 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.245 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.245 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.245 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.245 * [taylor]: Taking taylor expansion of 1/4 in y 0.245 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.245 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.256 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.256 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.256 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.256 * [taylor]: Taking taylor expansion of 1/4 in y 0.256 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.256 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.257 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.257 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.257 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.257 * [taylor]: Taking taylor expansion of 1/4 in x 0.257 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.257 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.257 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.257 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.257 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.257 * [taylor]: Taking taylor expansion of 1/4 in x 0.257 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.257 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.258 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.258 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.258 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.258 * [taylor]: Taking taylor expansion of 1/4 in y 0.258 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.258 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.270 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.270 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.270 * [taylor]: Taking taylor expansion of 1/4 in y 0.270 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.270 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.270 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.270 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.270 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.271 * [taylor]: Taking taylor expansion of 1/4 in x 0.271 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.271 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.271 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.271 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.271 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.271 * [taylor]: Taking taylor expansion of 1/4 in x 0.271 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.271 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.271 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.271 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.271 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.271 * [taylor]: Taking taylor expansion of 1/4 in y 0.271 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.271 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.286 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.286 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.286 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.287 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.287 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.287 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.287 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.289 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.289 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.289 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.289 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.290 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.290 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [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)))) in (x y) around 0 0.292 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.292 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.292 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.292 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.292 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.293 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.293 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.295 * * * [progress]: simplifying candidates 0.296 * [simplify]: Simplifying using # : (expm1 (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (log1p (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (fabs (- x y)) (fabs (- x y))) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (* (fabs (- x y)) (fabs (- x y))) (+ 1 1) (+ (log (sqrt (sqrt (fabs (- x y))))) (log (sqrt (sqrt (fabs (- x y)))))) (log (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (exp (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (cbrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))))) (cbrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (sqrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt 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(fabs (- x y)))))) (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt 1)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt 1) (sqrt (sqrt (fabs (- x y)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (expm1 (sqrt (sqrt (fabs (- x y))))) (log1p (sqrt (sqrt (fabs (- x y))))) (log (sqrt (sqrt (fabs (- x y))))) (exp (sqrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y))))) (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))) (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt 1)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt 1) (sqrt (sqrt (fabs (- x y)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt 1) (sqrt (fabs (- x y))) (/ 1 2) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.302 * * [simplify]: iteration 0 : 137 enodes (cost 754 ) 0.306 * * [simplify]: iteration 1 : 525 enodes (cost 694 ) 0.320 * * [simplify]: iteration 2 : 3007 enodes (cost 678 ) 0.433 * * [simplify]: iteration 3 : 5002 enodes (cost 663 ) 0.437 * [simplify]: Simplified to: (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (fabs (- x y)) (sqrt (fabs (- x y))) (pow (sqrt (fabs (- x y))) 4) (fabs (- x y)) (pow (sqrt (fabs (- x y))) 4) 2 (log (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (fabs (- x y)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (* (cbrt (sqrt 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(sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (fabs (- x y)))) 3) (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) 1 (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) 1 (sqrt (sqrt (fabs (- x y)))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) 1/2 (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.437 * * * [progress]: adding candidates to table 0.624 * * [progress]: iteration 3 / 4 0.624 * * * [progress]: picking best candidate 0.626 * * * * [pick]: Picked # 0.626 * * * [progress]: localizing error 0.638 * * * [progress]: generating rewritten candidates 0.638 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.639 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.641 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.642 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.730 * * * [progress]: generating series expansions 0.730 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.730 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in (x y) around 0 0.730 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 0.730 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 0.730 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 0.730 * [taylor]: Taking taylor expansion of 1/12 in y 0.730 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.730 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.731 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 0.731 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 0.731 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 0.731 * [taylor]: Taking taylor expansion of 1/12 in x 0.731 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.731 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.731 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 0.731 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 0.731 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 0.731 * [taylor]: Taking taylor expansion of 1/12 in x 0.731 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.731 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.731 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 0.731 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 0.731 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 0.731 * [taylor]: Taking taylor expansion of 1/12 in y 0.731 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.731 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.743 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in (x y) around 0 0.743 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 0.743 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.743 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.743 * [taylor]: Taking taylor expansion of 1/12 in y 0.743 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.743 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.743 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 0.743 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.743 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.743 * [taylor]: Taking taylor expansion of 1/12 in x 0.743 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.744 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.744 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 0.744 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.744 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.744 * [taylor]: Taking taylor expansion of 1/12 in x 0.744 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.744 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.744 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 0.744 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.744 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.744 * [taylor]: Taking taylor expansion of 1/12 in y 0.744 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.744 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.746 * [taylor]: Taking taylor expansion of 0 in y 0.750 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.757 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in (x y) around 0 0.757 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.757 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.757 * [taylor]: Taking taylor expansion of 1/12 in y 0.757 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.757 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.757 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.757 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.757 * [taylor]: Taking taylor expansion of 1/12 in x 0.757 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.757 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.757 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.757 * [taylor]: Taking taylor expansion of 1/12 in x 0.757 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.757 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.758 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 0.758 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.758 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.758 * [taylor]: Taking taylor expansion of 1/12 in y 0.758 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.758 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.760 * [taylor]: Taking taylor expansion of 0 in y 0.764 * [taylor]: Taking taylor expansion of 0 in y 0.770 * [taylor]: Taking taylor expansion of 0 in y 0.770 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.770 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in (x y) around 0 0.770 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 0.770 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 0.770 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 0.770 * [taylor]: Taking taylor expansion of 1/12 in y 0.770 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.770 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.770 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 0.770 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 0.770 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 0.770 * [taylor]: Taking taylor expansion of 1/12 in x 0.770 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.770 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.771 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 0.771 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 0.771 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 0.771 * [taylor]: Taking taylor expansion of 1/12 in x 0.771 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.771 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.771 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 0.771 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 0.771 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 0.771 * [taylor]: Taking taylor expansion of 1/12 in y 0.771 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.771 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.785 * [taylor]: Taking taylor expansion of 0 in y 0.785 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in (x y) around 0 0.785 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.785 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.785 * [taylor]: Taking taylor expansion of 1/12 in y 0.785 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.785 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.786 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 0.786 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.786 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.786 * [taylor]: Taking taylor expansion of 1/12 in x 0.786 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.786 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.786 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 0.786 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.786 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.786 * [taylor]: Taking taylor expansion of 1/12 in x 0.786 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.786 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.786 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 0.786 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.786 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.786 * [taylor]: Taking taylor expansion of 1/12 in y 0.786 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.786 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.789 * [taylor]: Taking taylor expansion of 0 in y 0.792 * [taylor]: Taking taylor expansion of 0 in y 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.799 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in (x y) around 0 0.799 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 0.799 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.799 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.799 * [taylor]: Taking taylor expansion of 1/12 in y 0.799 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.799 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.799 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 0.799 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.799 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.799 * [taylor]: Taking taylor expansion of 1/12 in x 0.799 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.799 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 0.800 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.800 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.800 * [taylor]: Taking taylor expansion of 1/12 in x 0.800 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.800 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 0.800 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.800 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.800 * [taylor]: Taking taylor expansion of 1/12 in y 0.800 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.800 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.802 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.812 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.812 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in (x y) around 0 0.812 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 0.813 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 0.813 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 0.813 * [taylor]: Taking taylor expansion of 1/12 in y 0.813 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.813 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.813 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 0.813 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 0.813 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 0.813 * [taylor]: Taking taylor expansion of 1/12 in x 0.813 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.813 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.813 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 0.813 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 0.813 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 0.813 * [taylor]: Taking taylor expansion of 1/12 in x 0.813 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.813 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.813 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 0.813 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 0.813 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 0.813 * [taylor]: Taking taylor expansion of 1/12 in y 0.813 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.813 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.827 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in (x y) around 0 0.827 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 0.827 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.827 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.827 * [taylor]: Taking taylor expansion of 1/12 in y 0.827 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.827 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.827 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 0.827 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.827 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.827 * [taylor]: Taking taylor expansion of 1/12 in x 0.827 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.827 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.827 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 0.827 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.827 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.828 * [taylor]: Taking taylor expansion of 1/12 in x 0.828 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.828 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.828 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 0.828 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.828 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.828 * [taylor]: Taking taylor expansion of 1/12 in y 0.828 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.828 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in (x y) around 0 0.841 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 0.841 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.841 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.841 * [taylor]: Taking taylor expansion of 1/12 in y 0.841 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.841 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.841 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 0.841 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.841 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.841 * [taylor]: Taking taylor expansion of 1/12 in x 0.841 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.841 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.841 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 0.842 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.842 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.842 * [taylor]: Taking taylor expansion of 1/12 in x 0.842 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.842 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.842 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 0.842 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.842 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.842 * [taylor]: Taking taylor expansion of 1/12 in y 0.842 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.842 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.844 * [taylor]: Taking taylor expansion of 0 in y 0.848 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.854 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.855 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.855 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.855 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.855 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.855 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.855 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.855 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.855 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.855 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.857 * [taylor]: Taking taylor expansion of 0 in y 0.858 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.858 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.858 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.858 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.858 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.858 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.858 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.858 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.858 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.863 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.863 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.864 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.864 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.864 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.864 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.864 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.864 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.865 * [taylor]: Taking taylor expansion of 0 in y 0.865 * [taylor]: Taking taylor expansion of 0 in y 0.866 * [taylor]: Taking taylor expansion of 0 in y 0.867 * * * [progress]: simplifying candidates 0.868 * [simplify]: Simplifying using # : (expm1 (cbrt (sqrt (sqrt (fabs (- x y)))))) (log1p (cbrt (sqrt (sqrt (fabs (- x y)))))) (log (cbrt (sqrt (sqrt (fabs (- x y)))))) (exp (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))) (cbrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))))) (cbrt (sqrt (cbrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))))) (cbrt (sqrt (sqrt (cbrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt 1))) (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt 1)) (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) (cbrt 1) (cbrt (sqrt (sqrt (fabs (- x y))))) (* (cbrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (cbrt (sqrt (sqrt (fabs (- x y))))))) (cbrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (expm1 (cbrt (sqrt (sqrt (fabs (- x y)))))) (log1p (cbrt (sqrt (sqrt (fabs (- x y)))))) (log (cbrt (sqrt (sqrt (fabs (- x y)))))) (exp (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))) (cbrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))))) (cbrt (sqrt (cbrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))))) (cbrt (sqrt 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(fabs (- x y))) 0.874 * * [simplify]: iteration 0 : 182 enodes (cost 1339 ) 0.878 * * [simplify]: iteration 1 : 667 enodes (cost 1042 ) 0.901 * * [simplify]: iteration 2 : 4742 enodes (cost 782 ) 0.970 * * [simplify]: iteration 3 : 5001 enodes (cost 782 ) 0.973 * [simplify]: Simplified to: (expm1 (cbrt (sqrt (sqrt (fabs (- x y)))))) (log1p (cbrt (sqrt (sqrt (fabs (- x y)))))) (log (cbrt (sqrt (sqrt (fabs (- x y)))))) (exp (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))) (cbrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))))) (cbrt (sqrt (cbrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))))) (cbrt (sqrt (sqrt (cbrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) (cbrt 1) (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) (cbrt 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(fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (sqrt (sqrt (fabs (- x y)))))) 2 2 (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 2 2 (fma 3 (log (cbrt (sqrt (sqrt (fabs (- x y)))))) (log (sqrt (sqrt (fabs (- x y)))))) (fma 3 (log (cbrt (sqrt (sqrt (fabs (- x y)))))) (log (sqrt (sqrt (fabs (- x y)))))) (fma 3 (log (cbrt (sqrt (sqrt (fabs (- x y)))))) (log (sqrt (sqrt (fabs (- x y)))))) (fma 3 (log (cbrt (sqrt (sqrt (fabs (- x y)))))) (log (sqrt (sqrt (fabs (- x y)))))) (pow (exp (* (sqrt (sqrt (fabs (- x y)))) 1)) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 3)) (pow (sqrt (fabs (- x y))) 3) (pow (sqrt (fabs (- x y))) 3) (pow (sqrt (fabs (- x y))) 3) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4)) (* (sqrt (sqrt (fabs (- x y)))) (fabs (cbrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.974 * * * [progress]: adding candidates to table 1.176 * [progress]: [Phase 3 of 3] Extracting. 1.176 * * [regime]: Finding splitpoints for: (# # #) 1.176 * * * [regime-changes]: Trying 5 branch expressions: ((- x y) (fabs (- x y)) (sqrt (fabs (- x y))) y x) 1.176 * * * * [regimes]: Trying to branch on (- x y) from (# # #) 1.192 * * * * [regimes]: Trying to branch on (fabs (- x y)) from (# # #) 1.209 * * * * [regimes]: Trying to branch on (sqrt (fabs (- x y))) from (# # #) 1.231 * * * * [regimes]: Trying to branch on y from (# # #) 1.245 * * * * [regimes]: Trying to branch on x from (# # #) 1.258 * * * [regime]: Found split indices: #