8.874 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (+ x (/ (fabs (- y x)) 2.0)) 0.016 * * [simplify]: iteration 0 : 10 enodes (cost 4 ) 0.017 * * [simplify]: iteration 1 : 11 enodes (cost 4 ) 0.018 * * [simplify]: iteration 2 : 11 enodes (cost 4 ) 0.018 * [simplify]: Simplified to: (+ x (/ (fabs (- y x)) 2.0)) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.032 * [taylor]: Taking taylor expansion of 0.5 in y 0.032 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.032 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.032 * [taylor]: Taking taylor expansion of 0.5 in x 0.032 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.032 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.032 * [taylor]: Taking taylor expansion of 0.5 in x 0.032 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.033 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.033 * [taylor]: Taking taylor expansion of 0.5 in y 0.033 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.033 * [taylor]: Taking taylor expansion of 1 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 (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.036 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.036 * [taylor]: Taking taylor expansion of 0.5 in y 0.036 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.037 * [taylor]: Taking taylor expansion of 0.5 in x 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.037 * [taylor]: Taking taylor expansion of 0.5 in x 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of 1 in y 0.038 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.038 * [taylor]: Taking taylor expansion of 0.5 in y 0.038 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 0.042 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.042 * [taylor]: Taking taylor expansion of 0.5 in y 0.042 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.042 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.042 * [taylor]: Taking taylor expansion of 0.5 in x 0.042 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.043 * [taylor]: Taking taylor expansion of 0.5 in x 0.043 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of -1 in y 0.044 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.044 * [taylor]: Taking taylor expansion of 0.5 in y 0.044 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * * * [progress]: simplifying candidates 0.048 * [simplify]: Simplifying using # : (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) (* (exp x) (exp (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) 0.051 * * [simplify]: iteration 0 : 88 enodes (cost 110 ) 0.053 * * [simplify]: iteration 1 : 226 enodes (cost 97 ) 0.057 * * [simplify]: iteration 2 : 540 enodes (cost 97 ) 0.065 * * [simplify]: iteration 3 : 1522 enodes (cost 97 ) 0.093 * * [simplify]: iteration 4 : 5001 enodes (cost 97 ) 0.094 * [simplify]: Simplified to: (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (pow (+ x (/ (fabs (- y x)) 2.0)) 3) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (fma (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x) (* x x)) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) 0.094 * * * [progress]: adding candidates to table 0.137 * * [progress]: iteration 2 / 4 0.137 * * * [progress]: picking best candidate 0.146 * * * * [pick]: Picked # 0.146 * * * [progress]: localizing error 0.155 * * * [progress]: generating rewritten candidates 0.155 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.155 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.156 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.156 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.166 * * * [progress]: generating series expansions 0.166 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.166 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.166 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.166 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.166 * [taylor]: Taking taylor expansion of 1/3 in x 0.166 * [taylor]: Taking taylor expansion of (log x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.167 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.167 * [taylor]: Taking taylor expansion of 1/3 in x 0.167 * [taylor]: Taking taylor expansion of (log x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.215 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.215 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of 1/3 in x 0.215 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.216 * [taylor]: Taking taylor expansion of 1/3 in x 0.216 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.269 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.269 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.269 * [taylor]: Taking taylor expansion of -1 in x 0.270 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of 1/3 in x 0.270 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.271 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.271 * [taylor]: Taking taylor expansion of -1 in x 0.272 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.272 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.272 * [taylor]: Taking taylor expansion of 1/3 in x 0.272 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.338 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.338 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.338 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.338 * [taylor]: Taking taylor expansion of 1/3 in x 0.338 * [taylor]: Taking taylor expansion of (log x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.339 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.339 * [taylor]: Taking taylor expansion of 1/3 in x 0.339 * [taylor]: Taking taylor expansion of (log x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.390 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.390 * [taylor]: Taking taylor expansion of 1/3 in x 0.390 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.391 * [taylor]: Taking taylor expansion of 1/3 in x 0.391 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.442 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.442 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.442 * [taylor]: Taking taylor expansion of -1 in x 0.443 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.443 * [taylor]: Taking taylor expansion of 1/3 in x 0.443 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.444 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.444 * [taylor]: Taking taylor expansion of -1 in x 0.445 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.445 * [taylor]: Taking taylor expansion of 1/3 in x 0.445 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.509 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.509 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.509 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.509 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.509 * [taylor]: Taking taylor expansion of 1/3 in x 0.509 * [taylor]: Taking taylor expansion of (log x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.510 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.510 * [taylor]: Taking taylor expansion of 1/3 in x 0.510 * [taylor]: Taking taylor expansion of (log x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.561 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.561 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of 1/3 in x 0.562 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of 1/3 in x 0.562 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.616 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.616 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.616 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.616 * [taylor]: Taking taylor expansion of -1 in x 0.617 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of 1/3 in x 0.617 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.619 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.619 * [taylor]: Taking taylor expansion of -1 in x 0.619 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.620 * [taylor]: Taking taylor expansion of 1/3 in x 0.620 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.685 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.685 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.685 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.685 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.685 * [taylor]: Taking taylor expansion of 1/3 in x 0.685 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.686 * [taylor]: Taking taylor expansion of 1/3 in x 0.686 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.738 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.738 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.738 * [taylor]: Taking taylor expansion of 1/3 in x 0.738 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.739 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.739 * [taylor]: Taking taylor expansion of 1/3 in x 0.739 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.798 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 0.798 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.798 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.798 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.798 * [taylor]: Taking taylor expansion of -1 in x 0.798 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.798 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.799 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.799 * [taylor]: Taking taylor expansion of 1/3 in x 0.799 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.799 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.800 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.800 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.800 * [taylor]: Taking taylor expansion of -1 in x 0.800 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.800 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.800 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.800 * [taylor]: Taking taylor expansion of 1/3 in x 0.800 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.801 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.877 * * * [progress]: simplifying candidates 0.878 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 0.882 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 0.885 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 0.900 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 0.965 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 0.967 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 0.967 * * * [progress]: adding candidates to table 1.212 * * [progress]: iteration 3 / 4 1.212 * * * [progress]: picking best candidate 1.220 * * * * [pick]: Picked # 1.220 * * * [progress]: localizing error 1.228 * * * [progress]: generating rewritten candidates 1.228 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.277 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.292 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.304 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.314 * * * [progress]: generating series expansions 1.314 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.314 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 1.314 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.314 * [taylor]: Taking taylor expansion of x in y 1.314 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.314 * [taylor]: Taking taylor expansion of 0.5 in y 1.314 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.314 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.314 * [taylor]: Taking taylor expansion of 0.5 in x 1.314 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.314 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.314 * [taylor]: Taking taylor expansion of 0.5 in x 1.314 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.315 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.315 * [taylor]: Taking taylor expansion of 0.5 in y 1.315 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.316 * [taylor]: Taking taylor expansion of 1 in y 1.317 * [taylor]: Taking taylor expansion of 0 in y 1.319 * [taylor]: Taking taylor expansion of 0 in y 1.319 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 1.319 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.319 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.319 * [taylor]: Taking taylor expansion of 0.5 in y 1.319 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.319 * [taylor]: Taking taylor expansion of x in y 1.319 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.319 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.319 * [taylor]: Taking taylor expansion of 0.5 in x 1.319 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.320 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.320 * [taylor]: Taking taylor expansion of 0.5 in x 1.320 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of 1 in y 1.321 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.321 * [taylor]: Taking taylor expansion of 0.5 in y 1.321 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.322 * [taylor]: Taking taylor expansion of 0 in y 1.324 * [taylor]: Taking taylor expansion of 0 in y 1.325 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 1.325 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.325 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.325 * [taylor]: Taking taylor expansion of 0.5 in y 1.325 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.325 * [taylor]: Taking taylor expansion of x in y 1.325 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.325 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.325 * [taylor]: Taking taylor expansion of 0.5 in x 1.325 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.325 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.325 * [taylor]: Taking taylor expansion of 0.5 in x 1.325 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.326 * [taylor]: Taking taylor expansion of -1 in y 1.328 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.328 * [taylor]: Taking taylor expansion of 0.5 in y 1.328 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.329 * [taylor]: Taking taylor expansion of 0 in y 1.331 * [taylor]: Taking taylor expansion of 0 in y 1.331 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.332 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 1.332 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 1.332 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.332 * [taylor]: Taking taylor expansion of x in y 1.332 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.332 * [taylor]: Taking taylor expansion of 0.5 in y 1.332 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.333 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.333 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.333 * [taylor]: Taking taylor expansion of 0.5 in x 1.333 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.334 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.334 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.334 * [taylor]: Taking taylor expansion of 0.5 in x 1.334 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.335 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 1.335 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 1.335 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.335 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.335 * [taylor]: Taking taylor expansion of 0.5 in y 1.336 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 1.336 * [taylor]: Taking taylor expansion of 1/2 in y 1.336 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 1.336 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 1.336 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 1.336 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.337 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 1.337 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.337 * [taylor]: Taking taylor expansion of 0.5 in y 1.342 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 1.343 * [taylor]: Taking taylor expansion of -1/8 in y 1.343 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 1.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 1.343 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 1.343 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 1.344 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 1.344 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.344 * [taylor]: Taking taylor expansion of 0.5 in y 1.353 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 1.353 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 1.354 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.354 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.354 * [taylor]: Taking taylor expansion of 0.5 in y 1.354 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.354 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.354 * [taylor]: Taking taylor expansion of x in y 1.355 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.355 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.355 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.355 * [taylor]: Taking taylor expansion of 0.5 in x 1.355 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.357 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.357 * [taylor]: Taking taylor expansion of 0.5 in x 1.357 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of 0 in y 1.363 * [taylor]: Taking taylor expansion of +nan.0 in y 1.364 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 1.364 * [taylor]: Taking taylor expansion of +nan.0 in y 1.365 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 1.365 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.365 * [taylor]: Taking taylor expansion of 0.5 in y 1.365 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.365 * [taylor]: Taking taylor expansion of +nan.0 in y 1.367 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 1.367 * [taylor]: Taking taylor expansion of +nan.0 in y 1.367 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 1.367 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.367 * [taylor]: Taking taylor expansion of +nan.0 in y 1.367 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.367 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.367 * [taylor]: Taking taylor expansion of +nan.0 in y 1.370 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 1.370 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 1.370 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.370 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.370 * [taylor]: Taking taylor expansion of 0.5 in y 1.370 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.370 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.370 * [taylor]: Taking taylor expansion of x in y 1.371 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.371 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.371 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.371 * [taylor]: Taking taylor expansion of 0.5 in x 1.371 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.373 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.373 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.373 * [taylor]: Taking taylor expansion of 0.5 in x 1.373 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of 0 in y 1.375 * [taylor]: Taking taylor expansion of +nan.0 in y 1.377 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 1.377 * [taylor]: Taking taylor expansion of +nan.0 in y 1.377 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 1.377 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.377 * [taylor]: Taking taylor expansion of 0.5 in y 1.377 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.377 * [taylor]: Taking taylor expansion of +nan.0 in y 1.380 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 1.380 * [taylor]: Taking taylor expansion of +nan.0 in y 1.380 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 1.380 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.380 * [taylor]: Taking taylor expansion of +nan.0 in y 1.380 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.380 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.380 * [taylor]: Taking taylor expansion of +nan.0 in y 1.382 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.383 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 1.383 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 1.383 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.383 * [taylor]: Taking taylor expansion of x in y 1.383 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.383 * [taylor]: Taking taylor expansion of 0.5 in y 1.383 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.384 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.384 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.384 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.384 * [taylor]: Taking taylor expansion of 0.5 in x 1.384 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.384 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.384 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.385 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.385 * [taylor]: Taking taylor expansion of 0.5 in x 1.385 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.385 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 1.385 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 1.385 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.386 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.386 * [taylor]: Taking taylor expansion of 0.5 in y 1.387 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 1.387 * [taylor]: Taking taylor expansion of 1/2 in y 1.387 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 1.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 1.387 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 1.387 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.387 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 1.387 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.387 * [taylor]: Taking taylor expansion of 0.5 in y 1.393 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 1.393 * [taylor]: Taking taylor expansion of -1/8 in y 1.393 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 1.393 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 1.393 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 1.393 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 1.394 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 1.394 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.394 * [taylor]: Taking taylor expansion of 0.5 in y 1.404 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 1.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 1.404 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.404 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.404 * [taylor]: Taking taylor expansion of 0.5 in y 1.404 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.404 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.404 * [taylor]: Taking taylor expansion of x in y 1.405 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.405 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.405 * [taylor]: Taking taylor expansion of 0.5 in x 1.405 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.407 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.407 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.407 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.407 * [taylor]: Taking taylor expansion of 0.5 in x 1.407 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of 0 in y 1.408 * [taylor]: Taking taylor expansion of +nan.0 in y 1.410 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 1.410 * [taylor]: Taking taylor expansion of +nan.0 in y 1.410 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 1.410 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.410 * [taylor]: Taking taylor expansion of 0.5 in y 1.410 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.410 * [taylor]: Taking taylor expansion of +nan.0 in y 1.412 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 1.412 * [taylor]: Taking taylor expansion of +nan.0 in y 1.412 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 1.413 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.413 * [taylor]: Taking taylor expansion of +nan.0 in y 1.413 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.413 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.413 * [taylor]: Taking taylor expansion of +nan.0 in y 1.415 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 1.415 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 1.415 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.415 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.415 * [taylor]: Taking taylor expansion of 0.5 in y 1.415 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.415 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.415 * [taylor]: Taking taylor expansion of x in y 1.416 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.416 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.417 * [taylor]: Taking taylor expansion of 0.5 in x 1.417 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.418 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.418 * [taylor]: Taking taylor expansion of 0.5 in x 1.418 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of 0 in y 1.420 * [taylor]: Taking taylor expansion of +nan.0 in y 1.422 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 1.422 * [taylor]: Taking taylor expansion of +nan.0 in y 1.422 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 1.422 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.422 * [taylor]: Taking taylor expansion of 0.5 in y 1.422 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.422 * [taylor]: Taking taylor expansion of +nan.0 in y 1.425 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 1.425 * [taylor]: Taking taylor expansion of +nan.0 in y 1.425 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 1.425 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.425 * [taylor]: Taking taylor expansion of +nan.0 in y 1.425 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.425 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.425 * [taylor]: Taking taylor expansion of +nan.0 in y 1.427 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.427 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 1.427 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.428 * [taylor]: Taking taylor expansion of x in y 1.428 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.428 * [taylor]: Taking taylor expansion of 0.5 in y 1.428 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.428 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.428 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.428 * [taylor]: Taking taylor expansion of 0.5 in x 1.428 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.428 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.428 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.428 * [taylor]: Taking taylor expansion of 0.5 in x 1.428 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.428 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.428 * [taylor]: Taking taylor expansion of 0.5 in y 1.428 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.429 * [taylor]: Taking taylor expansion of 1 in y 1.430 * [taylor]: Taking taylor expansion of 0 in y 1.431 * [taylor]: Taking taylor expansion of 0 in y 1.432 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 1.432 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.432 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.432 * [taylor]: Taking taylor expansion of 0.5 in y 1.432 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.432 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.432 * [taylor]: Taking taylor expansion of x in y 1.432 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.432 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.432 * [taylor]: Taking taylor expansion of 0.5 in x 1.432 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.432 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.432 * [taylor]: Taking taylor expansion of 0.5 in x 1.432 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.433 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of 1 in y 1.434 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.434 * [taylor]: Taking taylor expansion of 0.5 in y 1.434 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.435 * [taylor]: Taking taylor expansion of 0 in y 1.437 * [taylor]: Taking taylor expansion of 0 in y 1.437 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 1.437 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.437 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.437 * [taylor]: Taking taylor expansion of 0.5 in y 1.437 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.437 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.437 * [taylor]: Taking taylor expansion of x in y 1.437 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.437 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.437 * [taylor]: Taking taylor expansion of 0.5 in x 1.437 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.438 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.438 * [taylor]: Taking taylor expansion of 0.5 in x 1.438 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of -1 in y 1.440 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.440 * [taylor]: Taking taylor expansion of 0.5 in y 1.440 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.441 * [taylor]: Taking taylor expansion of 0 in y 1.443 * [taylor]: Taking taylor expansion of 0 in y 1.443 * * * [progress]: simplifying candidates 1.445 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (log1p (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ 1 1) (+ (log (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (log (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (log (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (exp (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (cbrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (cbrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)))) (* (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) (* (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)))) (* (sqrt (- x (/ (fabs (- y x)) 2.0))) (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (- x (/ (fabs (- y x)) 2.0))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) (* (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* 1 1) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) 1) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (expm1 (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (log1p (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (log (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (exp (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt 1) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt 1) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (- x (/ (fabs (- y x)) 2.0))) (/ 1 2) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (expm1 (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (log1p (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (log (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (exp (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt 1) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt 1) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (- x (/ (fabs (- y x)) 2.0))) (/ 1 2) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) (* (exp x) (exp (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (- (+ (* 1/2 (* (/ x (sqrt 0.5)) (sqrt (/ 1 (fabs (- y x)))))) (* (sqrt (fabs (- y x))) (sqrt 0.5))) (* 1/8 (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3)))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* 1/2 (* (/ x (sqrt 0.5)) (sqrt (/ 1 (fabs (- y x)))))) (* (sqrt (fabs (- y x))) (sqrt 0.5))) (* 1/8 (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3)))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) 1.456 * * [simplify]: iteration 0 : 287 enodes (cost 1107 ) 1.462 * * [simplify]: iteration 1 : 1125 enodes (cost 1001 ) 1.487 * * [simplify]: iteration 2 : 5002 enodes (cost 967 ) 1.491 * [simplify]: Simplified to: (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) 1 1 2 1 1 (pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 4) (+ x (/ (fabs (- y x)) 2.0)) (pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 4) 2 (log (+ x (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (pow (+ x (/ (fabs (- y x)) 2.0)) 3) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (pow (+ x (/ (fabs (- y x)) 2.0)) 3) (pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 4) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (fma (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x) (pow x 2)) (* (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) (* (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (pow (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 4) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) 1 (+ x (/ (fabs (- y x)) 2.0)) 1 (+ x (/ (fabs (- y x)) 2.0)) 1 (+ x (/ (fabs (- y x)) 2.0)) 1 (+ x (/ (fabs (- y x)) 2.0)) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) 1 (+ x (/ (fabs (- y x)) 2.0)) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) 1 2 1 (* (pow (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 4) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (pow (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 4) (* (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (+ x (/ (fabs (- y x)) 2.0)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (hypot (pow x 3/2) (pow (/ (fabs (- y x)) 2.0) 3/2))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (hypot (pow x 3/2) (pow (/ (fabs (- y x)) 2.0) 3/2))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (expm1 (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (log1p (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (log (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (exp (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 3) (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 1 (sqrt (+ x (/ (fabs (- y x)) 2.0))) 1 (sqrt (+ x (/ (fabs (- y x)) 2.0))) (hypot (pow x 3/2) (pow (/ (fabs (- y x)) 2.0) 3/2)) (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (- x (/ (fabs (- y x)) 2.0))) 1/2 (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (expm1 (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (log1p (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (log (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (exp (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 3) (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 1 (sqrt (+ x (/ (fabs (- y x)) 2.0))) 1 (sqrt (+ x (/ (fabs (- y x)) 2.0))) (hypot (pow x 3/2) (pow (/ (fabs (- y x)) 2.0) 3/2)) (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (- x (/ (fabs (- y x)) 2.0))) 1/2 (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (pow (+ x (/ (fabs (- y x)) 2.0)) 3) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (fma (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x) (pow x 2)) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (* 1/2 (/ x (sqrt 0.5))) (sqrt (/ 1 (fabs (- y x)))) (- (* (sqrt (fabs (- y x))) (sqrt 0.5)) (* 1/8 (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3))))))) (fma (- +nan.0) (/ (fabs (- y x)) (pow x 2)) (fma +nan.0 (/ 1 (pow x 2)) (fma (- +nan.0) (/ (fabs (- y x)) x) (fma +nan.0 (/ 1 x) (- +nan.0))))) (fma (- +nan.0) (/ (fabs (- y x)) (pow x 2)) (fma +nan.0 (/ 1 (pow x 2)) (fma (- +nan.0) (/ (fabs (- y x)) x) (fma +nan.0 (/ 1 x) (- +nan.0))))) (fma (* 1/2 (/ x (sqrt 0.5))) (sqrt (/ 1 (fabs (- y x)))) (- (* (sqrt (fabs (- y x))) (sqrt 0.5)) (* 1/8 (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3))))))) (fma (- +nan.0) (/ (fabs (- y x)) (pow x 2)) (fma +nan.0 (/ 1 (pow x 2)) (fma (- +nan.0) (/ (fabs (- y x)) x) (fma +nan.0 (/ 1 x) (- +nan.0))))) (fma (- +nan.0) (/ (fabs (- y x)) (pow x 2)) (fma +nan.0 (/ 1 (pow x 2)) (fma (- +nan.0) (/ (fabs (- y x)) x) (fma +nan.0 (/ 1 x) (- +nan.0))))) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) 1.492 * * * [progress]: adding candidates to table 1.739 * * [progress]: iteration 4 / 4 1.739 * * * [progress]: picking best candidate 1.747 * * * * [pick]: Picked # 1.747 * * * [progress]: localizing error 1.760 * * * [progress]: generating rewritten candidates 1.760 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.760 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.761 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.761 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.769 * * * [progress]: generating series expansions 1.769 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.769 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.769 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.769 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.769 * [taylor]: Taking taylor expansion of 1/3 in x 1.769 * [taylor]: Taking taylor expansion of (log x) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.770 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.770 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.770 * [taylor]: Taking taylor expansion of 1/3 in x 1.770 * [taylor]: Taking taylor expansion of (log x) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.823 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.823 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.823 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.823 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.823 * [taylor]: Taking taylor expansion of 1/3 in x 1.823 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.824 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.824 * [taylor]: Taking taylor expansion of 1/3 in x 1.824 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.824 * [taylor]: Taking taylor expansion of x in x 1.902 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.902 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.902 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.902 * [taylor]: Taking taylor expansion of -1 in x 1.902 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.903 * [taylor]: Taking taylor expansion of 1/3 in x 1.903 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.903 * [taylor]: Taking taylor expansion of x in x 1.903 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.903 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.903 * [taylor]: Taking taylor expansion of -1 in x 1.904 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.904 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.904 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.904 * [taylor]: Taking taylor expansion of 1/3 in x 1.904 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.904 * [taylor]: Taking taylor expansion of x in x 1.972 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.972 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.972 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.972 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.972 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.972 * [taylor]: Taking taylor expansion of 1/3 in x 1.972 * [taylor]: Taking taylor expansion of (log x) in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.973 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.973 * [taylor]: Taking taylor expansion of 1/3 in x 1.973 * [taylor]: Taking taylor expansion of (log x) in x 1.973 * [taylor]: Taking taylor expansion of x in x 2.021 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.021 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.021 * [taylor]: Taking taylor expansion of 1/3 in x 2.021 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.022 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.022 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.022 * [taylor]: Taking taylor expansion of 1/3 in x 2.022 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.079 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.079 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.079 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.079 * [taylor]: Taking taylor expansion of -1 in x 2.080 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.080 * [taylor]: Taking taylor expansion of 1/3 in x 2.080 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.080 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.081 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.081 * [taylor]: Taking taylor expansion of -1 in x 2.081 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.081 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.081 * [taylor]: Taking taylor expansion of 1/3 in x 2.081 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.149 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 2.149 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.149 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.149 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.149 * [taylor]: Taking taylor expansion of 1/3 in x 2.149 * [taylor]: Taking taylor expansion of (log x) in x 2.149 * [taylor]: Taking taylor expansion of x in x 2.150 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.150 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.150 * [taylor]: Taking taylor expansion of 1/3 in x 2.150 * [taylor]: Taking taylor expansion of (log x) in x 2.150 * [taylor]: Taking taylor expansion of x in x 2.204 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.204 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.204 * [taylor]: Taking taylor expansion of 1/3 in x 2.204 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.204 * [taylor]: Taking taylor expansion of x in x 2.205 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.205 * [taylor]: Taking taylor expansion of 1/3 in x 2.205 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.205 * [taylor]: Taking taylor expansion of x in x 2.262 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.262 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.262 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.262 * [taylor]: Taking taylor expansion of -1 in x 2.263 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.263 * [taylor]: Taking taylor expansion of 1/3 in x 2.263 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.263 * [taylor]: Taking taylor expansion of x in x 2.264 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.264 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.264 * [taylor]: Taking taylor expansion of -1 in x 2.264 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.265 * [taylor]: Taking taylor expansion of 1/3 in x 2.265 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.265 * [taylor]: Taking taylor expansion of x in x 2.326 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.327 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 2.327 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.327 * [taylor]: Taking taylor expansion of 1/3 in x 2.327 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.327 * [taylor]: Taking taylor expansion of x in x 2.327 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.328 * [taylor]: Taking taylor expansion of 1/3 in x 2.328 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.328 * [taylor]: Taking taylor expansion of x in x 2.385 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 2.385 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.385 * [taylor]: Taking taylor expansion of 1/3 in x 2.385 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.385 * [taylor]: Taking taylor expansion of x in x 2.386 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.387 * [taylor]: Taking taylor expansion of 1/3 in x 2.387 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.387 * [taylor]: Taking taylor expansion of x in x 2.447 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 2.447 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 2.447 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 2.447 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.447 * [taylor]: Taking taylor expansion of -1 in x 2.448 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.448 * [taylor]: Taking taylor expansion of 1/3 in x 2.448 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.449 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 2.449 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 2.449 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.449 * [taylor]: Taking taylor expansion of -1 in x 2.450 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.450 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.450 * [taylor]: Taking taylor expansion of 1/3 in x 2.450 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.450 * [taylor]: Taking taylor expansion of x in x 2.538 * * * [progress]: simplifying candidates 2.539 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.543 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 2.546 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 2.560 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 2.623 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 2.625 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.626 * * * [progress]: adding candidates to table 2.930 * [progress]: [Phase 3 of 3] Extracting. 2.930 * * [regime]: Finding splitpoints for: (# # # # #) 2.931 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (/ (fabs (- y x)) 2.0)) y x) 2.931 * * * * [regimes]: Trying to branch on (+ x (/ (fabs (- y x)) 2.0)) from (# # # # #) 2.959 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.980 * * * * [regimes]: Trying to branch on x from (# # # # #) 3.005 * * * [regime]: Found split indices: #