9.766 * [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 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.036 * [taylor]: Taking taylor expansion of 0.5 in y 0.036 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.036 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.036 * [taylor]: Taking taylor expansion of 0.5 in x 0.036 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.036 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.036 * [taylor]: Taking taylor expansion of 0.5 in x 0.036 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.036 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.036 * [taylor]: Taking taylor expansion of 0.5 in y 0.036 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.037 * [taylor]: Taking taylor expansion of 1 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.040 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.040 * [taylor]: Taking taylor expansion of 0.5 in y 0.040 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.041 * [taylor]: Taking taylor expansion of 0.5 in x 0.041 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.041 * [taylor]: Taking taylor expansion of 0.5 in x 0.041 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of 1 in y 0.042 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.042 * [taylor]: Taking taylor expansion of 0.5 in y 0.042 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.046 * [taylor]: Taking taylor expansion of 0.5 in y 0.046 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.046 * [taylor]: Taking taylor expansion of 0.5 in x 0.046 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.046 * [taylor]: Taking taylor expansion of 0.5 in x 0.046 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of -1 in y 0.048 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.048 * [taylor]: Taking taylor expansion of 0.5 in y 0.048 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * * * [progress]: simplifying candidates 0.052 * [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)))) 0.055 * * [simplify]: iteration 0 : 88 enodes (cost 110 ) 0.057 * * [simplify]: iteration 1 : 226 enodes (cost 97 ) 0.061 * * [simplify]: iteration 2 : 540 enodes (cost 97 ) 0.070 * * [simplify]: iteration 3 : 1522 enodes (cost 97 ) 0.098 * * [simplify]: iteration 4 : 5001 enodes (cost 97 ) 0.099 * [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) 0.099 * * * [progress]: adding candidates to table 0.143 * * [progress]: iteration 2 / 4 0.144 * * * [progress]: picking best candidate 0.150 * * * * [pick]: Picked # 0.150 * * * [progress]: localizing error 0.159 * * * [progress]: generating rewritten candidates 0.159 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.160 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.160 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.161 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.168 * * * [progress]: generating series expansions 0.168 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.168 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.168 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.168 * [taylor]: Taking taylor expansion of 1/3 in x 0.168 * [taylor]: Taking taylor expansion of (log x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.169 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.169 * [taylor]: Taking taylor expansion of 1/3 in x 0.169 * [taylor]: Taking taylor expansion of (log x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.222 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.222 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.222 * [taylor]: Taking taylor expansion of 1/3 in x 0.222 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.223 * [taylor]: Taking taylor expansion of 1/3 in x 0.223 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.273 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.273 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.273 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.273 * [taylor]: Taking taylor expansion of -1 in x 0.274 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of 1/3 in x 0.274 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.275 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.275 * [taylor]: Taking taylor expansion of -1 in x 0.276 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of 1/3 in x 0.276 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.343 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.343 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.343 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.343 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.343 * [taylor]: Taking taylor expansion of 1/3 in x 0.343 * [taylor]: Taking taylor expansion of (log x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.344 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.344 * [taylor]: Taking taylor expansion of 1/3 in x 0.344 * [taylor]: Taking taylor expansion of (log x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.397 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.397 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.397 * [taylor]: Taking taylor expansion of 1/3 in x 0.397 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.398 * [taylor]: Taking taylor expansion of 1/3 in x 0.398 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.454 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.454 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.454 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.455 * [taylor]: Taking taylor expansion of 1/3 in x 0.455 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.456 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.456 * [taylor]: Taking taylor expansion of -1 in x 0.457 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.457 * [taylor]: Taking taylor expansion of 1/3 in x 0.457 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.526 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.526 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.526 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.526 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.526 * [taylor]: Taking taylor expansion of 1/3 in x 0.526 * [taylor]: Taking taylor expansion of (log x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.527 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.527 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.527 * [taylor]: Taking taylor expansion of 1/3 in x 0.527 * [taylor]: Taking taylor expansion of (log x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.575 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.575 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.575 * [taylor]: Taking taylor expansion of 1/3 in x 0.575 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.576 * [taylor]: Taking taylor expansion of 1/3 in x 0.576 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.633 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.633 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.633 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.633 * [taylor]: Taking taylor expansion of -1 in x 0.634 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.634 * [taylor]: Taking taylor expansion of 1/3 in x 0.634 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.635 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.635 * [taylor]: Taking taylor expansion of -1 in x 0.635 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.635 * [taylor]: Taking taylor expansion of 1/3 in x 0.635 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.705 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.705 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.705 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.705 * [taylor]: Taking taylor expansion of 1/3 in x 0.705 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.706 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.706 * [taylor]: Taking taylor expansion of 1/3 in x 0.706 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.763 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.763 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.763 * [taylor]: Taking taylor expansion of 1/3 in x 0.763 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.764 * [taylor]: Taking taylor expansion of 1/3 in x 0.764 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.825 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 0.825 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.825 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.825 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.826 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.826 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.826 * [taylor]: Taking taylor expansion of 1/3 in x 0.826 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.827 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.827 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.827 * [taylor]: Taking taylor expansion of -1 in x 0.828 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.828 * [taylor]: Taking taylor expansion of 1/3 in x 0.828 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.828 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.906 * * * [progress]: simplifying candidates 0.907 * [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)) 0.910 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 0.914 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 0.927 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 0.992 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 0.994 * [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)) 0.994 * * * [progress]: adding candidates to table 1.251 * * [progress]: iteration 3 / 4 1.251 * * * [progress]: picking best candidate 1.259 * * * * [pick]: Picked # 1.259 * * * [progress]: localizing error 1.273 * * * [progress]: generating rewritten candidates 1.273 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.276 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.277 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.277 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2) 1.278 * * * [progress]: generating series expansions 1.278 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.278 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/9) in (x) around 0 1.278 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/9) in x 1.279 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow x 2)))) in x 1.279 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow x 2))) in x 1.279 * [taylor]: Taking taylor expansion of 1/9 in x 1.279 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/9) in x 1.280 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow x 2)))) in x 1.280 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow x 2))) in x 1.280 * [taylor]: Taking taylor expansion of 1/9 in x 1.280 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.334 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/9) in (x) around 0 1.334 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/9) in x 1.334 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow x 2))))) in x 1.334 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow x 2)))) in x 1.334 * [taylor]: Taking taylor expansion of 1/9 in x 1.334 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/9) in x 1.335 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow x 2))))) in x 1.335 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow x 2)))) in x 1.335 * [taylor]: Taking taylor expansion of 1/9 in x 1.335 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.396 * [approximate]: Taking taylor expansion of (* (pow (pow (cbrt -1) 2) 1/3) (pow (/ 1 (pow x 2)) 1/9)) in (x) around 0 1.396 * [taylor]: Taking taylor expansion of (* (pow (pow (cbrt -1) 2) 1/3) (pow (/ 1 (pow x 2)) 1/9)) in x 1.396 * [taylor]: Taking taylor expansion of (pow (pow (cbrt -1) 2) 1/3) in x 1.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cbrt -1) 2)))) in x 1.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cbrt -1) 2))) in x 1.396 * [taylor]: Taking taylor expansion of 1/3 in x 1.396 * [taylor]: Taking taylor expansion of (log (pow (cbrt -1) 2)) in x 1.396 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.396 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.396 * [taylor]: Taking taylor expansion of -1 in x 1.402 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/9) in x 1.402 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow x 2))))) in x 1.402 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow x 2)))) in x 1.402 * [taylor]: Taking taylor expansion of 1/9 in x 1.402 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.404 * [taylor]: Taking taylor expansion of (* (pow (pow (cbrt -1) 2) 1/3) (pow (/ 1 (pow x 2)) 1/9)) in x 1.404 * [taylor]: Taking taylor expansion of (pow (pow (cbrt -1) 2) 1/3) in x 1.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cbrt -1) 2)))) in x 1.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cbrt -1) 2))) in x 1.404 * [taylor]: Taking taylor expansion of 1/3 in x 1.404 * [taylor]: Taking taylor expansion of (log (pow (cbrt -1) 2)) in x 1.404 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.404 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.404 * [taylor]: Taking taylor expansion of -1 in x 1.410 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/9) in x 1.410 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow x 2))))) in x 1.410 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow x 2)))) in x 1.410 * [taylor]: Taking taylor expansion of 1/9 in x 1.410 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.548 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.548 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.548 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.548 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.548 * [taylor]: Taking taylor expansion of 1/3 in x 1.548 * [taylor]: Taking taylor expansion of (log x) in x 1.548 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.549 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.549 * [taylor]: Taking taylor expansion of 1/3 in x 1.549 * [taylor]: Taking taylor expansion of (log x) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.602 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.602 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.602 * [taylor]: Taking taylor expansion of 1/3 in x 1.602 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.603 * [taylor]: Taking taylor expansion of 1/3 in x 1.603 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.654 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.654 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.654 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.654 * [taylor]: Taking taylor expansion of -1 in x 1.655 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.655 * [taylor]: Taking taylor expansion of 1/3 in x 1.655 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.656 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.656 * [taylor]: Taking taylor expansion of -1 in x 1.656 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.657 * [taylor]: Taking taylor expansion of 1/3 in x 1.657 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.657 * [taylor]: Taking taylor expansion of x in x 1.724 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.724 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.724 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.724 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.724 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.724 * [taylor]: Taking taylor expansion of 1/3 in x 1.724 * [taylor]: Taking taylor expansion of (log x) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.725 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.725 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.725 * [taylor]: Taking taylor expansion of 1/3 in x 1.725 * [taylor]: Taking taylor expansion of (log x) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.780 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.780 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.780 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.780 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.780 * [taylor]: Taking taylor expansion of 1/3 in x 1.780 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.781 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.781 * [taylor]: Taking taylor expansion of 1/3 in x 1.781 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.838 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.838 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.838 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.838 * [taylor]: Taking taylor expansion of -1 in x 1.839 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.839 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.839 * [taylor]: Taking taylor expansion of 1/3 in x 1.839 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.839 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.840 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.840 * [taylor]: Taking taylor expansion of -1 in x 1.840 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.840 * [taylor]: Taking taylor expansion of 1/3 in x 1.840 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.908 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2) 1.908 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.908 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.908 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.908 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.908 * [taylor]: Taking taylor expansion of 1/3 in x 1.908 * [taylor]: Taking taylor expansion of (log x) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.909 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.909 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.909 * [taylor]: Taking taylor expansion of 1/3 in x 1.909 * [taylor]: Taking taylor expansion of (log x) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.957 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.957 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.957 * [taylor]: Taking taylor expansion of 1/3 in x 1.957 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.958 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.958 * [taylor]: Taking taylor expansion of 1/3 in x 1.958 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.959 * [taylor]: Taking taylor expansion of x in x 2.016 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.016 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.016 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.016 * [taylor]: Taking taylor expansion of -1 in x 2.017 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.017 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.017 * [taylor]: Taking taylor expansion of 1/3 in x 2.017 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.018 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.018 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.018 * [taylor]: Taking taylor expansion of -1 in x 2.019 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.019 * [taylor]: Taking taylor expansion of 1/3 in x 2.019 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.019 * [taylor]: Taking taylor expansion of x in x 2.088 * * * [progress]: simplifying candidates 2.089 * [simplify]: Simplifying using # : (expm1 (cbrt (* (cbrt x) (cbrt x)))) (log1p (cbrt (* (cbrt x) (cbrt x)))) (log (cbrt (* (cbrt x) (cbrt x)))) (exp (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x)) (cbrt (cbrt x)) (* (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (* (cbrt x) (cbrt x))))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x)))) (sqrt (cbrt (* (cbrt x) (cbrt x)))) (sqrt (cbrt (* (cbrt x) (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)) (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)) (pow x 2/9) (pow (/ 1 x) -2/9) (* (pow (pow (cbrt -1) 2) 1/3) (pow (pow x 2) 1/9)) (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)) 2.092 * * [simplify]: iteration 0 : 82 enodes (cost 202 ) 2.094 * * [simplify]: iteration 1 : 172 enodes (cost 184 ) 2.098 * * [simplify]: iteration 2 : 563 enodes (cost 174 ) 2.111 * * [simplify]: iteration 3 : 2341 enodes (cost 174 ) 2.171 * * [simplify]: iteration 4 : 5002 enodes (cost 171 ) 2.172 * [simplify]: Simplified to: (expm1 (cbrt (* (cbrt x) (cbrt x)))) (log1p (cbrt (* (cbrt x) (cbrt x)))) (log (cbrt (* (cbrt x) (cbrt x)))) (exp (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x)) (cbrt (cbrt x)) (* (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (* (cbrt x) (cbrt x))))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (pow x 2/3) (sqrt (cbrt (* (cbrt x) (cbrt x)))) (sqrt (cbrt (* (cbrt x) (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)) (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)) (pow x 2/9) (pow (/ 1 x) -2/9) (* (pow (pow (cbrt -1) 2) 1/3) (pow (pow x 2) 1/9)) (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)) 2.173 * * * [progress]: adding candidates to table 2.418 * * [progress]: iteration 4 / 4 2.418 * * * [progress]: picking best candidate 2.423 * * * * [pick]: Picked # 2.423 * * * [progress]: localizing error 2.430 * * * [progress]: generating rewritten candidates 2.430 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.479 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.490 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.501 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.511 * * * [progress]: generating series expansions 2.511 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.511 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 2.511 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 2.511 * [taylor]: Taking taylor expansion of x in y 2.511 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 2.511 * [taylor]: Taking taylor expansion of 0.5 in y 2.511 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.511 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.511 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.511 * [taylor]: Taking taylor expansion of 0.5 in x 2.511 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.511 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.512 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.512 * [taylor]: Taking taylor expansion of 0.5 in x 2.512 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.512 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 2.512 * [taylor]: Taking taylor expansion of 0.5 in y 2.512 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.513 * [taylor]: Taking taylor expansion of 1 in y 2.514 * [taylor]: Taking taylor expansion of 0 in y 2.519 * [taylor]: Taking taylor expansion of 0 in y 2.519 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 2.519 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 2.519 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.519 * [taylor]: Taking taylor expansion of 0.5 in y 2.519 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.519 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.519 * [taylor]: Taking taylor expansion of x in y 2.519 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.519 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.519 * [taylor]: Taking taylor expansion of 0.5 in x 2.519 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.520 * [taylor]: Taking taylor expansion of x in x 2.520 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.520 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.520 * [taylor]: Taking taylor expansion of 0.5 in x 2.520 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.520 * [taylor]: Taking taylor expansion of x in x 2.521 * [taylor]: Taking taylor expansion of 1 in y 2.521 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.521 * [taylor]: Taking taylor expansion of 0.5 in y 2.521 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.523 * [taylor]: Taking taylor expansion of 0 in y 2.524 * [taylor]: Taking taylor expansion of 0 in y 2.525 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 2.525 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 2.525 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.525 * [taylor]: Taking taylor expansion of 0.5 in y 2.525 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.525 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.525 * [taylor]: Taking taylor expansion of x in y 2.525 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.525 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.525 * [taylor]: Taking taylor expansion of 0.5 in x 2.525 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.525 * [taylor]: Taking taylor expansion of x in x 2.526 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.526 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.526 * [taylor]: Taking taylor expansion of 0.5 in x 2.526 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.526 * [taylor]: Taking taylor expansion of x in x 2.526 * [taylor]: Taking taylor expansion of -1 in y 2.527 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.527 * [taylor]: Taking taylor expansion of 0.5 in y 2.527 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.529 * [taylor]: Taking taylor expansion of 0 in y 2.531 * [taylor]: Taking taylor expansion of 0 in y 2.531 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.531 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 2.531 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 2.531 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 2.531 * [taylor]: Taking taylor expansion of x in y 2.531 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 2.531 * [taylor]: Taking taylor expansion of 0.5 in y 2.531 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.532 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 2.532 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.532 * [taylor]: Taking taylor expansion of x in x 2.532 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.532 * [taylor]: Taking taylor expansion of 0.5 in x 2.532 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.533 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 2.533 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.533 * [taylor]: Taking taylor expansion of x in x 2.533 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.533 * [taylor]: Taking taylor expansion of 0.5 in x 2.533 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.534 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 2.534 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 2.534 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.534 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 2.534 * [taylor]: Taking taylor expansion of 0.5 in y 2.536 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 2.536 * [taylor]: Taking taylor expansion of 1/2 in y 2.536 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 2.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 2.536 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 2.536 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.536 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 2.536 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 2.536 * [taylor]: Taking taylor expansion of 0.5 in y 2.542 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 2.542 * [taylor]: Taking taylor expansion of -1/8 in y 2.542 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 2.542 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 2.542 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 2.542 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.543 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 2.543 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 2.543 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 2.543 * [taylor]: Taking taylor expansion of 0.5 in y 2.552 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 2.552 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 2.553 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 2.553 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.553 * [taylor]: Taking taylor expansion of 0.5 in y 2.553 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.553 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.553 * [taylor]: Taking taylor expansion of x in y 2.554 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 2.554 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.554 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.554 * [taylor]: Taking taylor expansion of 0.5 in x 2.554 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.554 * [taylor]: Taking taylor expansion of x in x 2.556 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 2.556 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.556 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.556 * [taylor]: Taking taylor expansion of 0.5 in x 2.556 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.556 * [taylor]: Taking taylor expansion of x in x 2.557 * [taylor]: Taking taylor expansion of 0 in y 2.557 * [taylor]: Taking taylor expansion of +nan.0 in y 2.559 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 2.559 * [taylor]: Taking taylor expansion of +nan.0 in y 2.559 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 2.559 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.559 * [taylor]: Taking taylor expansion of 0.5 in y 2.559 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.559 * [taylor]: Taking taylor expansion of +nan.0 in y 2.561 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 2.561 * [taylor]: Taking taylor expansion of +nan.0 in y 2.561 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 2.561 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.562 * [taylor]: Taking taylor expansion of +nan.0 in y 2.562 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.562 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.562 * [taylor]: Taking taylor expansion of +nan.0 in y 2.564 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 2.564 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 2.564 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 2.564 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.564 * [taylor]: Taking taylor expansion of 0.5 in y 2.564 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.564 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.564 * [taylor]: Taking taylor expansion of x in y 2.565 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 2.565 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.565 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.566 * [taylor]: Taking taylor expansion of 0.5 in x 2.566 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.566 * [taylor]: Taking taylor expansion of x in x 2.567 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 2.567 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.567 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.567 * [taylor]: Taking taylor expansion of 0.5 in x 2.567 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.568 * [taylor]: Taking taylor expansion of x in x 2.569 * [taylor]: Taking taylor expansion of 0 in y 2.569 * [taylor]: Taking taylor expansion of +nan.0 in y 2.571 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 2.571 * [taylor]: Taking taylor expansion of +nan.0 in y 2.571 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 2.571 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.571 * [taylor]: Taking taylor expansion of 0.5 in y 2.571 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.571 * [taylor]: Taking taylor expansion of +nan.0 in y 2.574 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 2.574 * [taylor]: Taking taylor expansion of +nan.0 in y 2.574 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 2.574 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.574 * [taylor]: Taking taylor expansion of +nan.0 in y 2.574 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.574 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.574 * [taylor]: Taking taylor expansion of +nan.0 in y 2.576 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.576 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 2.576 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 2.576 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 2.576 * [taylor]: Taking taylor expansion of x in y 2.577 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 2.577 * [taylor]: Taking taylor expansion of 0.5 in y 2.577 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.577 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 2.577 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.577 * [taylor]: Taking taylor expansion of x in x 2.577 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.577 * [taylor]: Taking taylor expansion of 0.5 in x 2.578 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.578 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 2.578 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.578 * [taylor]: Taking taylor expansion of x in x 2.578 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.578 * [taylor]: Taking taylor expansion of 0.5 in x 2.578 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.579 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 2.579 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 2.579 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.580 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 2.580 * [taylor]: Taking taylor expansion of 0.5 in y 2.581 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 2.581 * [taylor]: Taking taylor expansion of 1/2 in y 2.581 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 2.581 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 2.581 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 2.581 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.581 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 2.581 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 2.581 * [taylor]: Taking taylor expansion of 0.5 in y 2.587 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 2.587 * [taylor]: Taking taylor expansion of -1/8 in y 2.587 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 2.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 2.587 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 2.587 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 2.587 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.588 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 2.588 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 2.588 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 2.588 * [taylor]: Taking taylor expansion of 0.5 in y 2.597 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 2.597 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 2.597 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 2.597 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.597 * [taylor]: Taking taylor expansion of 0.5 in y 2.597 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.598 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.598 * [taylor]: Taking taylor expansion of x in y 2.599 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 2.599 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.599 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.599 * [taylor]: Taking taylor expansion of 0.5 in x 2.599 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.599 * [taylor]: Taking taylor expansion of x in x 2.600 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 2.600 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.600 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.600 * [taylor]: Taking taylor expansion of 0.5 in x 2.601 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.601 * [taylor]: Taking taylor expansion of x in x 2.602 * [taylor]: Taking taylor expansion of 0 in y 2.602 * [taylor]: Taking taylor expansion of +nan.0 in y 2.608 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 2.608 * [taylor]: Taking taylor expansion of +nan.0 in y 2.608 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 2.608 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.608 * [taylor]: Taking taylor expansion of 0.5 in y 2.608 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.608 * [taylor]: Taking taylor expansion of +nan.0 in y 2.611 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 2.611 * [taylor]: Taking taylor expansion of +nan.0 in y 2.611 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 2.611 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.611 * [taylor]: Taking taylor expansion of +nan.0 in y 2.611 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.611 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.611 * [taylor]: Taking taylor expansion of +nan.0 in y 2.613 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 2.613 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 2.613 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 2.613 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.613 * [taylor]: Taking taylor expansion of 0.5 in y 2.613 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.613 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.613 * [taylor]: Taking taylor expansion of x in y 2.615 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 2.615 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.615 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.615 * [taylor]: Taking taylor expansion of 0.5 in x 2.615 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.615 * [taylor]: Taking taylor expansion of x in x 2.617 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 2.617 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.617 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.617 * [taylor]: Taking taylor expansion of 0.5 in x 2.617 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.617 * [taylor]: Taking taylor expansion of x in x 2.618 * [taylor]: Taking taylor expansion of 0 in y 2.618 * [taylor]: Taking taylor expansion of +nan.0 in y 2.620 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 2.620 * [taylor]: Taking taylor expansion of +nan.0 in y 2.620 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 2.620 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.620 * [taylor]: Taking taylor expansion of 0.5 in y 2.620 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.620 * [taylor]: Taking taylor expansion of +nan.0 in y 2.623 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 2.623 * [taylor]: Taking taylor expansion of +nan.0 in y 2.623 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 2.623 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.623 * [taylor]: Taking taylor expansion of +nan.0 in y 2.623 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.623 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.623 * [taylor]: Taking taylor expansion of +nan.0 in y 2.625 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.626 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 2.626 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 2.626 * [taylor]: Taking taylor expansion of x in y 2.626 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 2.626 * [taylor]: Taking taylor expansion of 0.5 in y 2.626 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.626 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.626 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.626 * [taylor]: Taking taylor expansion of 0.5 in x 2.626 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.626 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.626 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.626 * [taylor]: Taking taylor expansion of 0.5 in x 2.626 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.626 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 2.626 * [taylor]: Taking taylor expansion of 0.5 in y 2.626 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.627 * [taylor]: Taking taylor expansion of 1 in y 2.628 * [taylor]: Taking taylor expansion of 0 in y 2.630 * [taylor]: Taking taylor expansion of 0 in y 2.630 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 2.630 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 2.630 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.630 * [taylor]: Taking taylor expansion of 0.5 in y 2.630 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.630 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.630 * [taylor]: Taking taylor expansion of x in y 2.630 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.630 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.630 * [taylor]: Taking taylor expansion of 0.5 in x 2.630 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.630 * [taylor]: Taking taylor expansion of x in x 2.630 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.630 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.630 * [taylor]: Taking taylor expansion of 0.5 in x 2.630 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.631 * [taylor]: Taking taylor expansion of x in x 2.631 * [taylor]: Taking taylor expansion of 1 in y 2.632 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.632 * [taylor]: Taking taylor expansion of 0.5 in y 2.632 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.633 * [taylor]: Taking taylor expansion of 0 in y 2.635 * [taylor]: Taking taylor expansion of 0 in y 2.635 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 2.635 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 2.635 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.635 * [taylor]: Taking taylor expansion of 0.5 in y 2.635 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.635 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.635 * [taylor]: Taking taylor expansion of x in y 2.635 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.635 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.635 * [taylor]: Taking taylor expansion of 0.5 in x 2.635 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.636 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.636 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.636 * [taylor]: Taking taylor expansion of 0.5 in x 2.636 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of -1 in y 2.638 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.638 * [taylor]: Taking taylor expansion of 0.5 in y 2.638 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.639 * [taylor]: Taking taylor expansion of 0 in y 2.641 * [taylor]: Taking taylor expansion of 0 in y 2.641 * * * [progress]: simplifying candidates 2.643 * [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 (/ 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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)))) 2.651 * * [simplify]: iteration 0 : 287 enodes (cost 1107 ) 2.656 * * [simplify]: iteration 1 : 1125 enodes (cost 1001 ) 2.681 * * [simplify]: iteration 2 : 5002 enodes (cost 967 ) 2.686 * [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 (/ 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+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) 2.686 * * * [progress]: adding candidates to table 2.969 * [progress]: [Phase 3 of 3] Extracting. 2.969 * * [regime]: Finding splitpoints for: (# # # # #) 2.970 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (/ (fabs (- y x)) 2.0)) y x) 2.970 * * * * [regimes]: Trying to branch on (+ x (/ (fabs (- y x)) 2.0)) from (# # # # #) 2.996 * * * * [regimes]: Trying to branch on y from (# # # # #) 3.020 * * * * [regimes]: Trying to branch on x from (# # # # #) 3.041 * * * [regime]: Found split indices: #