16.616 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.014 * [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 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.034 * [taylor]: Taking taylor expansion of 0.5 in y 0.034 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.034 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.034 * [taylor]: Taking taylor expansion of 0.5 in x 0.034 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.034 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.035 * [taylor]: Taking taylor expansion of 0.5 in x 0.035 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.035 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.035 * [taylor]: Taking taylor expansion of 0.5 in y 0.035 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.036 * [taylor]: Taking taylor expansion of 1 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.039 * [taylor]: Taking taylor expansion of 0.5 in y 0.039 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.039 * [taylor]: Taking taylor expansion of 0.5 in x 0.039 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.040 * [taylor]: Taking taylor expansion of 0.5 in x 0.040 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of 1 in y 0.041 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.041 * [taylor]: Taking taylor expansion of 0.5 in y 0.041 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) 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 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.045 * [taylor]: Taking taylor expansion of 0.5 in x 0.045 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.045 * [taylor]: Taking taylor expansion of 0.5 in x 0.045 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of -1 in y 0.047 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.047 * [taylor]: Taking taylor expansion of 0.5 in y 0.047 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * * * [progress]: simplifying candidates 0.051 * [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)))) 0.054 * * [simplify]: iteration 0 : 88 enodes (cost 110 ) 0.056 * * [simplify]: iteration 1 : 226 enodes (cost 97 ) 0.060 * * [simplify]: iteration 2 : 540 enodes (cost 97 ) 0.069 * * [simplify]: iteration 3 : 1522 enodes (cost 97 ) 0.095 * * [simplify]: iteration 4 : 5001 enodes (cost 97 ) 0.096 * [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) 0.096 * * * [progress]: adding candidates to table 0.137 * * [progress]: iteration 2 / 4 0.137 * * * [progress]: picking best candidate 0.144 * * * * [pick]: Picked # 0.144 * * * [progress]: localizing error 0.153 * * * [progress]: generating rewritten candidates 0.153 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.154 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.155 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.156 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.163 * * * [progress]: generating series expansions 0.163 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.163 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.163 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.163 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.163 * [taylor]: Taking taylor expansion of 1/3 in x 0.163 * [taylor]: Taking taylor expansion of (log x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.164 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.164 * [taylor]: Taking taylor expansion of 1/3 in x 0.164 * [taylor]: Taking taylor expansion of (log x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.217 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.217 * [taylor]: Taking taylor expansion of 1/3 in x 0.217 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.218 * [taylor]: Taking taylor expansion of 1/3 in x 0.218 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [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 0.271 * [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 0.338 * [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 0.339 * [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 0.389 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.389 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.389 * [taylor]: Taking taylor expansion of 1/3 in x 0.389 * [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 0.390 * [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 0.446 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.446 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.446 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.447 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.447 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.447 * [taylor]: Taking taylor expansion of 1/3 in x 0.447 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.448 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.448 * [taylor]: Taking taylor expansion of -1 in x 0.449 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.449 * [taylor]: Taking taylor expansion of 1/3 in x 0.449 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.523 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.523 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.523 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.523 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.523 * [taylor]: Taking taylor expansion of 1/3 in x 0.523 * [taylor]: Taking taylor expansion of (log x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.524 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.524 * [taylor]: Taking taylor expansion of 1/3 in x 0.524 * [taylor]: Taking taylor expansion of (log x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.574 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.574 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.574 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.574 * [taylor]: Taking taylor expansion of 1/3 in x 0.574 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 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 0.633 * [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 0.636 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.636 * [taylor]: Taking taylor expansion of 1/3 in x 0.636 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.636 * [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 0.706 * [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 0.706 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.707 * [taylor]: Taking taylor expansion of 1/3 in x 0.707 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.764 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 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 0.766 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.766 * [taylor]: Taking taylor expansion of 1/3 in x 0.766 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.826 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 0.826 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.826 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.826 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.826 * [taylor]: Taking taylor expansion of -1 in x 0.827 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.827 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.827 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.827 * [taylor]: Taking taylor expansion of 1/3 in x 0.827 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.828 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.828 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.828 * [taylor]: Taking taylor expansion of -1 in x 0.829 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.829 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.829 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.829 * [taylor]: Taking taylor expansion of 1/3 in x 0.829 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.907 * * * [progress]: simplifying candidates 0.908 * [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)) 0.912 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 0.915 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 0.928 * * [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 1.225 * * [progress]: iteration 3 / 4 1.225 * * * [progress]: picking best candidate 1.234 * * * * [pick]: Picked # 1.234 * * * [progress]: localizing error 1.248 * * * [progress]: generating rewritten candidates 1.248 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.250 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.251 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.252 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 1.254 * * * [progress]: generating series expansions 1.254 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.254 * [approximate]: Taking taylor expansion of (pow x 1/9) in (x) around 0 1.254 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 1.255 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 1.255 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 1.255 * [taylor]: Taking taylor expansion of 1/9 in x 1.255 * [taylor]: Taking taylor expansion of (log x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 1.255 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 1.255 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 1.256 * [taylor]: Taking taylor expansion of 1/9 in x 1.256 * [taylor]: Taking taylor expansion of (log x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.307 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/9) in (x) around 0 1.307 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 1.307 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 1.307 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 1.307 * [taylor]: Taking taylor expansion of 1/9 in x 1.307 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 1.308 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 1.308 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 1.308 * [taylor]: Taking taylor expansion of 1/9 in x 1.308 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.365 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in (x) around 0 1.365 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 1.365 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 1.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 1.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 1.365 * [taylor]: Taking taylor expansion of 1/3 in x 1.365 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 1.365 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.365 * [taylor]: Taking taylor expansion of -1 in x 1.369 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 1.369 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 1.369 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 1.369 * [taylor]: Taking taylor expansion of 1/9 in x 1.369 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 1.370 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 1.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 1.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 1.370 * [taylor]: Taking taylor expansion of 1/3 in x 1.370 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 1.370 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.370 * [taylor]: Taking taylor expansion of -1 in x 1.374 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 1.374 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 1.374 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 1.374 * [taylor]: Taking taylor expansion of 1/9 in x 1.374 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.502 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.502 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.502 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.502 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.502 * [taylor]: Taking taylor expansion of 1/3 in x 1.502 * [taylor]: Taking taylor expansion of (log x) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.503 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.503 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.503 * [taylor]: Taking taylor expansion of 1/3 in x 1.503 * [taylor]: Taking taylor expansion of (log x) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.568 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.568 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.568 * [taylor]: Taking taylor expansion of 1/3 in x 1.568 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.569 * [taylor]: Taking taylor expansion of 1/3 in x 1.569 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.626 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.626 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.626 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.626 * [taylor]: Taking taylor expansion of -1 in x 1.627 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.627 * [taylor]: Taking taylor expansion of 1/3 in x 1.627 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.628 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.628 * [taylor]: Taking taylor expansion of -1 in x 1.629 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.629 * [taylor]: Taking taylor expansion of 1/3 in x 1.629 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.701 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.701 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.701 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.701 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.701 * [taylor]: Taking taylor expansion of 1/3 in x 1.701 * [taylor]: Taking taylor expansion of (log x) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.702 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.702 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.702 * [taylor]: Taking taylor expansion of 1/3 in x 1.702 * [taylor]: Taking taylor expansion of (log x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.758 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.758 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.758 * [taylor]: Taking taylor expansion of 1/3 in x 1.758 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.759 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.759 * [taylor]: Taking taylor expansion of 1/3 in x 1.759 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.759 * [taylor]: Taking taylor expansion of x in x 1.819 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.819 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.819 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.819 * [taylor]: Taking taylor expansion of -1 in x 1.820 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.820 * [taylor]: Taking taylor expansion of 1/3 in x 1.820 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.821 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.821 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.821 * [taylor]: Taking taylor expansion of -1 in x 1.822 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.822 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.822 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.822 * [taylor]: Taking taylor expansion of 1/3 in x 1.822 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.885 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 1.885 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.885 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.885 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.885 * [taylor]: Taking taylor expansion of 1/3 in x 1.885 * [taylor]: Taking taylor expansion of (log x) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.886 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.886 * [taylor]: Taking taylor expansion of 1/3 in x 1.886 * [taylor]: Taking taylor expansion of (log x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.941 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.941 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.941 * [taylor]: Taking taylor expansion of 1/3 in x 1.941 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.941 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.942 * [taylor]: Taking taylor expansion of 1/3 in x 1.942 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.999 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.999 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.999 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.999 * [taylor]: Taking taylor expansion of -1 in x 2.000 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.000 * [taylor]: Taking taylor expansion of 1/3 in x 2.000 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.001 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.001 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.001 * [taylor]: Taking taylor expansion of -1 in x 2.002 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.002 * [taylor]: Taking taylor expansion of 1/3 in x 2.002 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.070 * * * [progress]: simplifying candidates 2.071 * [simplify]: Simplifying using # : (expm1 (cbrt (cbrt x))) (log1p (cbrt (cbrt x))) (log (cbrt (cbrt x))) (exp (cbrt (cbrt x))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt 1)) (cbrt (cbrt x)) (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt 1) (cbrt (cbrt x)) (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (sqrt (cbrt (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 1/9) (pow (/ 1 x) -1/9) (* (pow (* -1 x) 1/9) (pow (cbrt -1) 1/3)) (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)) 2.074 * * [simplify]: iteration 0 : 75 enodes (cost 209 ) 2.076 * * [simplify]: iteration 1 : 145 enodes (cost 195 ) 2.079 * * [simplify]: iteration 2 : 361 enodes (cost 187 ) 2.087 * * [simplify]: iteration 3 : 1382 enodes (cost 187 ) 2.119 * * [simplify]: iteration 4 : 5002 enodes (cost 187 ) 2.120 * [simplify]: Simplified to: (expm1 (cbrt (cbrt x))) (log1p (cbrt (cbrt x))) (log (cbrt (cbrt x))) (exp (cbrt (cbrt x))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt 1)) (cbrt (cbrt x)) (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt 1) (cbrt (cbrt x)) (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (pow x 1/3) (sqrt (cbrt (cbrt x))) (sqrt (cbrt (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) (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)) (cbrt 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)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (pow x 1/9) (pow (/ 1 x) -1/9) (* (pow (* -1 x) 1/9) (pow (cbrt -1) 1/3)) (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)) 2.120 * * * [progress]: adding candidates to table 2.359 * * [progress]: iteration 4 / 4 2.359 * * * [progress]: picking best candidate 2.367 * * * * [pick]: Picked # 2.367 * * * [progress]: localizing error 2.384 * * * [progress]: generating rewritten candidates 2.384 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.388 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.390 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.392 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 2.394 * * * [progress]: generating series expansions 2.394 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.394 * [approximate]: Taking taylor expansion of (pow x 1/9) in (x) around 0 2.394 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 2.394 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 2.394 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 2.394 * [taylor]: Taking taylor expansion of 1/9 in x 2.394 * [taylor]: Taking taylor expansion of (log x) in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.395 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 2.395 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 2.395 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 2.396 * [taylor]: Taking taylor expansion of 1/9 in x 2.396 * [taylor]: Taking taylor expansion of (log x) in x 2.396 * [taylor]: Taking taylor expansion of x in x 2.444 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/9) in (x) around 0 2.444 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.444 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.445 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.445 * [taylor]: Taking taylor expansion of 1/9 in x 2.445 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.445 * [taylor]: Taking taylor expansion of x in x 2.445 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.445 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.446 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.446 * [taylor]: Taking taylor expansion of 1/9 in x 2.446 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.446 * [taylor]: Taking taylor expansion of x in x 2.502 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in (x) around 0 2.502 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 2.502 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 2.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 2.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 2.502 * [taylor]: Taking taylor expansion of 1/3 in x 2.502 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 2.502 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.502 * [taylor]: Taking taylor expansion of -1 in x 2.506 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.506 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.506 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.506 * [taylor]: Taking taylor expansion of 1/9 in x 2.506 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.506 * [taylor]: Taking taylor expansion of x in x 2.507 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 2.507 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 2.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 2.507 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 2.507 * [taylor]: Taking taylor expansion of 1/3 in x 2.507 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 2.507 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.507 * [taylor]: Taking taylor expansion of -1 in x 2.510 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.510 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.510 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.510 * [taylor]: Taking taylor expansion of 1/9 in x 2.510 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.636 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.637 * [approximate]: Taking taylor expansion of (pow x 1/9) in (x) around 0 2.637 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 2.637 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 2.637 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 2.637 * [taylor]: Taking taylor expansion of 1/9 in x 2.637 * [taylor]: Taking taylor expansion of (log x) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 2.637 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 2.637 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 2.637 * [taylor]: Taking taylor expansion of 1/9 in x 2.637 * [taylor]: Taking taylor expansion of (log x) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.693 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/9) in (x) around 0 2.693 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.693 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.693 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.693 * [taylor]: Taking taylor expansion of 1/9 in x 2.693 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.694 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.694 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.694 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.694 * [taylor]: Taking taylor expansion of 1/9 in x 2.694 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.694 * [taylor]: Taking taylor expansion of x in x 2.747 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in (x) around 0 2.747 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 2.747 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 2.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 2.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 2.747 * [taylor]: Taking taylor expansion of 1/3 in x 2.747 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 2.747 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.747 * [taylor]: Taking taylor expansion of -1 in x 2.750 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.750 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.750 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.750 * [taylor]: Taking taylor expansion of 1/9 in x 2.750 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.751 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 2.751 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 2.751 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 2.751 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 2.751 * [taylor]: Taking taylor expansion of 1/3 in x 2.751 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 2.751 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.751 * [taylor]: Taking taylor expansion of -1 in x 2.755 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.755 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.755 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.755 * [taylor]: Taking taylor expansion of 1/9 in x 2.755 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.755 * [taylor]: Taking taylor expansion of x in x 2.883 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.883 * [approximate]: Taking taylor expansion of (pow x 1/9) in (x) around 0 2.883 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 2.883 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 2.883 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 2.883 * [taylor]: Taking taylor expansion of 1/9 in x 2.883 * [taylor]: Taking taylor expansion of (log x) in x 2.883 * [taylor]: Taking taylor expansion of x in x 2.884 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 2.884 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 2.884 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 2.884 * [taylor]: Taking taylor expansion of 1/9 in x 2.884 * [taylor]: Taking taylor expansion of (log x) in x 2.884 * [taylor]: Taking taylor expansion of x in x 2.937 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/9) in (x) around 0 2.937 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.937 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.937 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.937 * [taylor]: Taking taylor expansion of 1/9 in x 2.937 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.937 * [taylor]: Taking taylor expansion of x in x 2.938 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 2.938 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 2.938 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 2.938 * [taylor]: Taking taylor expansion of 1/9 in x 2.938 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.938 * [taylor]: Taking taylor expansion of x in x 2.996 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in (x) around 0 2.996 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 2.996 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 2.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 2.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 2.996 * [taylor]: Taking taylor expansion of 1/3 in x 2.996 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 2.996 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.996 * [taylor]: Taking taylor expansion of -1 in x 3.000 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 3.000 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 3.000 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 3.000 * [taylor]: Taking taylor expansion of 1/9 in x 3.000 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.000 * [taylor]: Taking taylor expansion of x in x 3.001 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 3.001 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 3.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 3.001 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 3.001 * [taylor]: Taking taylor expansion of 1/3 in x 3.001 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 3.001 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.001 * [taylor]: Taking taylor expansion of -1 in x 3.004 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 3.004 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 3.004 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 3.004 * [taylor]: Taking taylor expansion of 1/9 in x 3.004 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.004 * [taylor]: Taking taylor expansion of x in x 3.125 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 3.126 * [approximate]: Taking taylor expansion of (pow x 1/9) in (x) around 0 3.126 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 3.126 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 3.126 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 3.126 * [taylor]: Taking taylor expansion of 1/9 in x 3.126 * [taylor]: Taking taylor expansion of (log x) in x 3.126 * [taylor]: Taking taylor expansion of x in x 3.126 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 3.126 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 3.126 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 3.126 * [taylor]: Taking taylor expansion of 1/9 in x 3.126 * [taylor]: Taking taylor expansion of (log x) in x 3.126 * [taylor]: Taking taylor expansion of x in x 3.181 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/9) in (x) around 0 3.181 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 3.181 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 3.181 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 3.181 * [taylor]: Taking taylor expansion of 1/9 in x 3.181 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.181 * [taylor]: Taking taylor expansion of x in x 3.182 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 3.182 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 3.182 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 3.182 * [taylor]: Taking taylor expansion of 1/9 in x 3.182 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.182 * [taylor]: Taking taylor expansion of x in x 3.240 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in (x) around 0 3.240 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 3.240 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 3.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 3.240 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 3.240 * [taylor]: Taking taylor expansion of 1/3 in x 3.240 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 3.240 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.241 * [taylor]: Taking taylor expansion of -1 in x 3.245 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 3.245 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 3.245 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 3.245 * [taylor]: Taking taylor expansion of 1/9 in x 3.245 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.245 * [taylor]: Taking taylor expansion of x in x 3.246 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 3.246 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 3.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 3.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 3.246 * [taylor]: Taking taylor expansion of 1/3 in x 3.246 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 3.246 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.246 * [taylor]: Taking taylor expansion of -1 in x 3.249 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 3.249 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 3.249 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 3.249 * [taylor]: Taking taylor expansion of 1/9 in x 3.249 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.250 * [taylor]: Taking taylor expansion of x in x 3.384 * * * [progress]: simplifying candidates 3.385 * [simplify]: Simplifying using # : (expm1 (cbrt (cbrt x))) (log1p (cbrt (cbrt x))) (log (cbrt (cbrt x))) (exp (cbrt (cbrt x))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt 1)) (cbrt (cbrt x)) (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt 1) (cbrt (cbrt x)) (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (expm1 (cbrt (cbrt x))) (log1p (cbrt (cbrt x))) (log (cbrt (cbrt x))) (exp (cbrt (cbrt x))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt 1)) (cbrt (cbrt x)) (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt 1) (cbrt (cbrt x)) (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (expm1 (cbrt (cbrt x))) (log1p (cbrt (cbrt x))) (log (cbrt (cbrt x))) (exp (cbrt (cbrt x))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt 1)) (cbrt (cbrt x)) (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt 1) (cbrt (cbrt x)) (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (expm1 (cbrt (cbrt x))) (log1p (cbrt (cbrt x))) (log (cbrt (cbrt x))) (exp (cbrt (cbrt x))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt 1)) (cbrt (cbrt x)) (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt 1) (cbrt (cbrt x)) (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (pow x 1/9) (pow (/ 1 x) -1/9) (* (pow (* -1 x) 1/9) (pow (cbrt -1) 1/3)) (pow x 1/9) (pow (/ 1 x) -1/9) (* (pow (* -1 x) 1/9) (pow (cbrt -1) 1/3)) (pow x 1/9) (pow (/ 1 x) -1/9) (* (pow (* -1 x) 1/9) (pow (cbrt -1) 1/3)) (pow x 1/9) (pow (/ 1 x) -1/9) (* (pow (* -1 x) 1/9) (pow (cbrt -1) 1/3)) 3.389 * * [simplify]: iteration 0 : 55 enodes (cost 320 ) 3.391 * * [simplify]: iteration 1 : 87 enodes (cost 300 ) 3.393 * * [simplify]: iteration 2 : 202 enodes (cost 292 ) 3.397 * * [simplify]: iteration 3 : 668 enodes (cost 292 ) 3.419 * * [simplify]: iteration 4 : 3954 enodes (cost 292 ) 3.512 * * [simplify]: iteration 5 : 5001 enodes (cost 288 ) 3.514 * [simplify]: Simplified to: (expm1 (cbrt (cbrt x))) (log1p (cbrt (cbrt x))) (log (cbrt (cbrt x))) (exp (cbrt (cbrt x))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt 1)) (cbrt (cbrt x)) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt 1) (cbrt (cbrt x)) (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt x) (sqrt (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (expm1 (cbrt (cbrt x))) (log1p (cbrt (cbrt x))) (log (cbrt (cbrt x))) (exp (cbrt (cbrt x))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt 1)) (cbrt (cbrt x)) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt 1) (cbrt (cbrt x)) (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt x) (sqrt (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (expm1 (cbrt (cbrt x))) (log1p (cbrt (cbrt x))) (log (cbrt (cbrt x))) (exp (cbrt (cbrt x))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt 1)) (cbrt (cbrt x)) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt 1) (cbrt (cbrt x)) (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt x) (sqrt (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (expm1 (cbrt (cbrt x))) (log1p (cbrt (cbrt x))) (log (cbrt (cbrt x))) (exp (cbrt (cbrt x))) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt (sqrt x))) (cbrt (cbrt 1)) (cbrt (cbrt x)) (cbrt (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt (sqrt (cbrt x))) (cbrt 1) (cbrt (cbrt x)) (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))) (cbrt x) (sqrt (cbrt (cbrt x))) (sqrt (cbrt (cbrt x))) (pow x 1/9) (pow (/ 1 x) -1/9) (* (pow (* -1 x) 1/9) (pow (cbrt -1) 1/3)) (pow x 1/9) (pow (/ 1 x) -1/9) (* (pow (* -1 x) 1/9) (pow (cbrt -1) 1/3)) (pow x 1/9) (pow (/ 1 x) -1/9) (* (pow (* -1 x) 1/9) (pow (cbrt -1) 1/3)) (pow x 1/9) (pow (/ 1 x) -1/9) (* (pow (* -1 x) 1/9) (pow (cbrt -1) 1/3)) 3.514 * * * [progress]: adding candidates to table 3.806 * [progress]: [Phase 3 of 3] Extracting. 3.806 * * [regime]: Finding splitpoints for: (# # # #) 3.807 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (/ (fabs (- y x)) 2.0)) y x) 3.807 * * * * [regimes]: Trying to branch on (+ x (/ (fabs (- y x)) 2.0)) from (# # # #) 3.829 * * * * [regimes]: Trying to branch on y from (# # # #) 3.851 * * * * [regimes]: Trying to branch on x from (# # # #) 3.869 * * * [regime]: Found split indices: #