14.477 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ (* x y) z) 0.017 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 0.018 * * [simplify]: iteration 1 : 8 enodes (cost 5 ) 0.019 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.020 * * [simplify]: iteration 3 : 15 enodes (cost 5 ) 0.022 * * [simplify]: iteration 4 : 16 enodes (cost 5 ) 0.024 * * [simplify]: iteration done : 16 enodes (cost 5 ) 0.024 * [simplify]: Simplified to: (/ (* x y) z) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [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 y) z) in (x y z) around 0 0.034 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.034 * [taylor]: Taking taylor expansion of (* x y) in z 0.034 * [taylor]: Taking taylor expansion of x in z 0.034 * [taylor]: Taking taylor expansion of y in z 0.034 * [taylor]: Taking taylor expansion of z in z 0.034 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 0.034 * [taylor]: Taking taylor expansion of (* x y) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of z in y 0.035 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.035 * [taylor]: Taking taylor expansion of (* x y) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of z in x 0.036 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.036 * [taylor]: Taking taylor expansion of (* x y) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of z in x 0.036 * [taylor]: Taking taylor expansion of (/ y z) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of z in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.036 * [taylor]: Taking taylor expansion of z in z 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in z 0.037 * [taylor]: Taking taylor expansion of 0 in z 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in z 0.039 * [taylor]: Taking taylor expansion of 0 in z 0.039 * [taylor]: Taking taylor expansion of 0 in z 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in z 0.041 * [taylor]: Taking taylor expansion of 0 in z 0.041 * [taylor]: Taking taylor expansion of 0 in z 0.041 * [taylor]: Taking taylor expansion of 0 in z 0.041 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x y z) around 0 0.041 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.041 * [taylor]: Taking taylor expansion of z in z 0.041 * [taylor]: Taking taylor expansion of (* x y) in z 0.041 * [taylor]: Taking taylor expansion of x in z 0.041 * [taylor]: Taking taylor expansion of y in z 0.041 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.042 * [taylor]: Taking taylor expansion of z in y 0.042 * [taylor]: Taking taylor expansion of (* x y) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.042 * [taylor]: Taking taylor expansion of z in x 0.042 * [taylor]: Taking taylor expansion of (* x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.043 * [taylor]: Taking taylor expansion of z in x 0.043 * [taylor]: Taking taylor expansion of (* x y) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ z y) in y 0.043 * [taylor]: Taking taylor expansion of z in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of z in z 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in z 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in z 0.046 * [taylor]: Taking taylor expansion of 0 in z 0.047 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x y z) around 0 0.047 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 0.047 * [taylor]: Taking taylor expansion of -1 in z 0.047 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.047 * [taylor]: Taking taylor expansion of z in z 0.047 * [taylor]: Taking taylor expansion of (* x y) in z 0.047 * [taylor]: Taking taylor expansion of x in z 0.047 * [taylor]: Taking taylor expansion of y in z 0.047 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 0.047 * [taylor]: Taking taylor expansion of -1 in y 0.047 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.047 * [taylor]: Taking taylor expansion of z in y 0.047 * [taylor]: Taking taylor expansion of (* x y) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.048 * [taylor]: Taking taylor expansion of -1 in x 0.048 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.048 * [taylor]: Taking taylor expansion of z in x 0.048 * [taylor]: Taking taylor expansion of (* x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.048 * [taylor]: Taking taylor expansion of -1 in x 0.048 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.048 * [taylor]: Taking taylor expansion of z in x 0.048 * [taylor]: Taking taylor expansion of (* x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in y 0.049 * [taylor]: Taking taylor expansion of -1 in y 0.049 * [taylor]: Taking taylor expansion of (/ z y) in y 0.049 * [taylor]: Taking taylor expansion of z in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (* -1 z) in z 0.049 * [taylor]: Taking taylor expansion of -1 in z 0.049 * [taylor]: Taking taylor expansion of z in z 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in z 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in z 0.055 * [taylor]: Taking taylor expansion of 0 in z 0.056 * * * [progress]: simplifying candidates 0.056 * [simplify]: Simplifying using # : (expm1 (/ (* x y) z)) (log1p (/ (* x y) z)) (- (+ (log x) (log y)) (log z)) (- (log (* x y)) (log z)) (log (/ (* x y) z)) (exp (/ (* x y) z)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z)) (* (cbrt (/ (* x y) z)) (cbrt (/ (* x y) z))) (cbrt (/ (* x y) z)) (* (* (/ (* x y) z) (/ (* x y) z)) (/ (* x y) z)) (sqrt (/ (* x y) z)) (sqrt (/ (* x y) z)) (- (* x y)) (- z) (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) (/ x 1) (/ y z) (/ 1 z) (/ z (* x y)) (/ (* x y) (* (cbrt z) (cbrt z))) (/ (* x y) (sqrt z)) (/ (* x y) 1) (/ z y) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 0.058 * * [simplify]: iteration 0 : 50 enodes (cost 198 ) 0.071 * * [simplify]: iteration 1 : 119 enodes (cost 191 ) 0.095 * * [simplify]: iteration 2 : 474 enodes (cost 161 ) 0.253 * * [simplify]: iteration 3 : 2155 enodes (cost 161 ) 0.948 * * [simplify]: iteration done : 5000 enodes (cost 161 ) 0.948 * [simplify]: Simplified to: (expm1 (/ (* x y) z)) (log1p (/ (* x y) z)) (log (/ (* x y) z)) (log (/ (* x y) z)) (log (/ (* x y) z)) (exp (/ (* x y) z)) (pow (/ (* x y) z) 3) (pow (/ (* x y) z) 3) (* (cbrt (/ (* x y) z)) (cbrt (/ (* x y) z))) (cbrt (/ (* x y) z)) (pow (/ (* x y) z) 3) (sqrt (/ (* x y) z)) (sqrt (/ (* x y) z)) (- (* x y)) (- z) (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) x (/ y z) (/ 1 z) (/ z (* x y)) (/ (* x y) (* (cbrt z) (cbrt z))) (/ (* x y) (sqrt z)) (* x y) (/ z y) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 0.948 * * * [progress]: adding candidates to table 0.998 * * [progress]: iteration 2 / 4 0.999 * * * [progress]: picking best candidate 1.009 * * * * [pick]: Picked # 1.009 * * * [progress]: localizing error 1.014 * * * [progress]: generating rewritten candidates 1.015 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.030 * * * [progress]: generating series expansions 1.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.030 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x y z) around 0 1.030 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 1.030 * [taylor]: Taking taylor expansion of (* x y) in z 1.030 * [taylor]: Taking taylor expansion of x in z 1.030 * [taylor]: Taking taylor expansion of y in z 1.030 * [taylor]: Taking taylor expansion of z in z 1.031 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 1.031 * [taylor]: Taking taylor expansion of (* x y) in y 1.031 * [taylor]: Taking taylor expansion of x in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of z in y 1.031 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 1.031 * [taylor]: Taking taylor expansion of (* x y) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.031 * [taylor]: Taking taylor expansion of z in x 1.032 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 1.032 * [taylor]: Taking taylor expansion of (* x y) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of z in x 1.032 * [taylor]: Taking taylor expansion of (/ y z) in y 1.032 * [taylor]: Taking taylor expansion of y in y 1.032 * [taylor]: Taking taylor expansion of z in y 1.032 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.032 * [taylor]: Taking taylor expansion of z in z 1.033 * [taylor]: Taking taylor expansion of 0 in y 1.033 * [taylor]: Taking taylor expansion of 0 in z 1.033 * [taylor]: Taking taylor expansion of 0 in z 1.035 * [taylor]: Taking taylor expansion of 0 in y 1.035 * [taylor]: Taking taylor expansion of 0 in z 1.035 * [taylor]: Taking taylor expansion of 0 in z 1.035 * [taylor]: Taking taylor expansion of 0 in z 1.036 * [taylor]: Taking taylor expansion of 0 in y 1.037 * [taylor]: Taking taylor expansion of 0 in z 1.037 * [taylor]: Taking taylor expansion of 0 in z 1.037 * [taylor]: Taking taylor expansion of 0 in z 1.037 * [taylor]: Taking taylor expansion of 0 in z 1.037 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x y z) around 0 1.037 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 1.037 * [taylor]: Taking taylor expansion of z in z 1.037 * [taylor]: Taking taylor expansion of (* x y) in z 1.037 * [taylor]: Taking taylor expansion of x in z 1.037 * [taylor]: Taking taylor expansion of y in z 1.037 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 1.037 * [taylor]: Taking taylor expansion of z in y 1.037 * [taylor]: Taking taylor expansion of (* x y) in y 1.037 * [taylor]: Taking taylor expansion of x in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 1.038 * [taylor]: Taking taylor expansion of z in x 1.038 * [taylor]: Taking taylor expansion of (* x y) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 1.038 * [taylor]: Taking taylor expansion of z in x 1.038 * [taylor]: Taking taylor expansion of (* x y) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of (/ z y) in y 1.039 * [taylor]: Taking taylor expansion of z in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.039 * [taylor]: Taking taylor expansion of z in z 1.039 * [taylor]: Taking taylor expansion of 0 in y 1.040 * [taylor]: Taking taylor expansion of 0 in z 1.041 * [taylor]: Taking taylor expansion of 0 in y 1.041 * [taylor]: Taking taylor expansion of 0 in z 1.042 * [taylor]: Taking taylor expansion of 0 in z 1.042 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x y z) around 0 1.042 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 1.042 * [taylor]: Taking taylor expansion of -1 in z 1.042 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 1.042 * [taylor]: Taking taylor expansion of z in z 1.042 * [taylor]: Taking taylor expansion of (* x y) in z 1.042 * [taylor]: Taking taylor expansion of x in z 1.042 * [taylor]: Taking taylor expansion of y in z 1.042 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 1.042 * [taylor]: Taking taylor expansion of -1 in y 1.042 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 1.042 * [taylor]: Taking taylor expansion of z in y 1.042 * [taylor]: Taking taylor expansion of (* x y) in y 1.042 * [taylor]: Taking taylor expansion of x in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 1.043 * [taylor]: Taking taylor expansion of -1 in x 1.043 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 1.043 * [taylor]: Taking taylor expansion of z in x 1.043 * [taylor]: Taking taylor expansion of (* x y) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.044 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 1.044 * [taylor]: Taking taylor expansion of -1 in x 1.044 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 1.044 * [taylor]: Taking taylor expansion of z in x 1.044 * [taylor]: Taking taylor expansion of (* x y) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of y in x 1.044 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in y 1.044 * [taylor]: Taking taylor expansion of -1 in y 1.045 * [taylor]: Taking taylor expansion of (/ z y) in y 1.045 * [taylor]: Taking taylor expansion of z in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of (* -1 z) in z 1.045 * [taylor]: Taking taylor expansion of -1 in z 1.045 * [taylor]: Taking taylor expansion of z in z 1.046 * [taylor]: Taking taylor expansion of 0 in y 1.047 * [taylor]: Taking taylor expansion of 0 in z 1.049 * [taylor]: Taking taylor expansion of 0 in y 1.049 * [taylor]: Taking taylor expansion of 0 in z 1.050 * [taylor]: Taking taylor expansion of 0 in z 1.051 * * * [progress]: simplifying candidates 1.052 * [simplify]: Simplifying using # : (expm1 (* (* x y) (/ 1 z))) (log1p (* (* x y) (/ 1 z))) (* (* x y) (/ 1 z)) (* (* x y) (/ 1 z)) (+ (+ (log x) (log y)) (- (log z))) (+ (+ (log x) (log y)) (- 0 (log z))) (+ (+ (log x) (log y)) (- (log 1) (log z))) (+ (+ (log x) (log y)) (log (/ 1 z))) (+ (log (* x y)) (- (log z))) (+ (log (* x y)) (- 0 (log z))) (+ (log (* x y)) (- (log 1) (log z))) (+ (log (* x y)) (log (/ 1 z))) (log (* (* x y) (/ 1 z))) (exp (* (* x y) (/ 1 z))) (* (* (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* z z) z))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z))) (* (* (* (* x y) (* x y)) (* x y)) (/ (* (* 1 1) 1) (* (* z z) z))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z))) (* (cbrt (* (* x y) (/ 1 z))) (cbrt (* (* x y) (/ 1 z)))) (cbrt (* (* x y) (/ 1 z))) (* (* (* (* x y) (/ 1 z)) (* (* x y) (/ 1 z))) (* (* x y) (/ 1 z))) (sqrt (* (* x y) (/ 1 z))) (sqrt (* (* x y) (/ 1 z))) (* (* x y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (* (* x y) (sqrt (/ 1 z))) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt z) (cbrt z)))) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt z))) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (* x y) (/ (sqrt 1) (* (cbrt z) (cbrt z)))) (* (* x y) (/ (sqrt 1) (sqrt z))) (* (* x y) (/ (sqrt 1) 1)) (* (* x y) (/ 1 (* (cbrt z) (cbrt z)))) (* (* x y) (/ 1 (sqrt z))) (* (* x y) (/ 1 1)) (* (* x y) 1) (* (* x y) 1) (* y (/ 1 z)) (* (* x y) 1) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 1.054 * * [simplify]: iteration 0 : 85 enodes (cost 427 ) 1.071 * * [simplify]: iteration 1 : 250 enodes (cost 336 ) 1.149 * * [simplify]: iteration 2 : 1040 enodes (cost 250 ) 1.953 * * [simplify]: iteration 3 : 4010 enodes (cost 250 ) 4.682 * * [simplify]: iteration done : 5001 enodes (cost 250 ) 4.682 * [simplify]: Simplified to: (expm1 (/ (* y x) z)) (log1p (/ (* y x) z)) (/ (* x y) z) (/ (* x y) z) (log (/ (* x y) z)) (log (/ (* x y) z)) (log (/ (* x y) z)) (log (/ (* x y) z)) (log (/ (* x y) z)) (log (/ (* x y) z)) (log (/ (* x y) z)) (log (/ (* x y) z)) (log (/ (* x y) z)) (exp (/ (* x y) z)) (pow (/ (* x y) z) 3) (pow (/ (* x y) z) 3) (pow (/ (* x y) z) 3) (pow (/ (* x y) z) 3) (* (cbrt (/ (* x y) z)) (cbrt (/ (* x y) z))) (cbrt (/ (* x y) z)) (pow (/ (* x y) z) 3) (sqrt (/ (* y x) z)) (sqrt (/ (* y x) z)) (* (* x y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (* (* x y) (sqrt (/ 1 z))) (/ (* y x) (* (cbrt z) (cbrt z))) (/ (* y x) (sqrt z)) (* y x) (/ (* y x) (* (cbrt z) (cbrt z))) (/ (* y x) (sqrt z)) (* y x) (/ (* y x) (* (cbrt z) (cbrt z))) (/ (* y x) (sqrt z)) (* y x) (* y x) (* y x) (/ y z) (* y x) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 4.682 * * * [progress]: adding candidates to table 4.743 * * [progress]: iteration 3 / 4 4.743 * * * [progress]: picking best candidate 4.755 * * * * [pick]: Picked # 4.755 * * * [progress]: localizing error 4.761 * * * [progress]: generating rewritten candidates 4.761 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 4.764 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.774 * * * [progress]: generating series expansions 4.774 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 4.774 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (z x y) around 0 4.774 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 4.774 * [taylor]: Taking taylor expansion of z in y 4.774 * [taylor]: Taking taylor expansion of (* x y) in y 4.774 * [taylor]: Taking taylor expansion of x in y 4.774 * [taylor]: Taking taylor expansion of y in y 4.775 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 4.775 * [taylor]: Taking taylor expansion of z in x 4.775 * [taylor]: Taking taylor expansion of (* x y) in x 4.775 * [taylor]: Taking taylor expansion of x in x 4.775 * [taylor]: Taking taylor expansion of y in x 4.775 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 4.775 * [taylor]: Taking taylor expansion of z in z 4.775 * [taylor]: Taking taylor expansion of (* x y) in z 4.775 * [taylor]: Taking taylor expansion of x in z 4.775 * [taylor]: Taking taylor expansion of y in z 4.775 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 4.775 * [taylor]: Taking taylor expansion of z in z 4.775 * [taylor]: Taking taylor expansion of (* x y) in z 4.775 * [taylor]: Taking taylor expansion of x in z 4.775 * [taylor]: Taking taylor expansion of y in z 4.776 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.776 * [taylor]: Taking taylor expansion of (* x y) in x 4.776 * [taylor]: Taking taylor expansion of x in x 4.776 * [taylor]: Taking taylor expansion of y in x 4.776 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.776 * [taylor]: Taking taylor expansion of y in y 4.776 * [taylor]: Taking taylor expansion of 0 in x 4.777 * [taylor]: Taking taylor expansion of 0 in y 4.778 * [taylor]: Taking taylor expansion of 0 in x 4.778 * [taylor]: Taking taylor expansion of 0 in y 4.779 * [taylor]: Taking taylor expansion of 0 in y 4.780 * [taylor]: Taking taylor expansion of 0 in x 4.780 * [taylor]: Taking taylor expansion of 0 in y 4.780 * [taylor]: Taking taylor expansion of 0 in y 4.781 * [taylor]: Taking taylor expansion of 0 in y 4.782 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (z x y) around 0 4.782 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 4.782 * [taylor]: Taking taylor expansion of (* x y) in y 4.782 * [taylor]: Taking taylor expansion of x in y 4.782 * [taylor]: Taking taylor expansion of y in y 4.782 * [taylor]: Taking taylor expansion of z in y 4.782 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 4.782 * [taylor]: Taking taylor expansion of (* x y) in x 4.782 * [taylor]: Taking taylor expansion of x in x 4.782 * [taylor]: Taking taylor expansion of y in x 4.782 * [taylor]: Taking taylor expansion of z in x 4.782 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 4.782 * [taylor]: Taking taylor expansion of (* x y) in z 4.783 * [taylor]: Taking taylor expansion of x in z 4.783 * [taylor]: Taking taylor expansion of y in z 4.783 * [taylor]: Taking taylor expansion of z in z 4.783 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 4.783 * [taylor]: Taking taylor expansion of (* x y) in z 4.783 * [taylor]: Taking taylor expansion of x in z 4.783 * [taylor]: Taking taylor expansion of y in z 4.783 * [taylor]: Taking taylor expansion of z in z 4.783 * [taylor]: Taking taylor expansion of (* x y) in x 4.783 * [taylor]: Taking taylor expansion of x in x 4.783 * [taylor]: Taking taylor expansion of y in x 4.783 * [taylor]: Taking taylor expansion of y in y 4.784 * [taylor]: Taking taylor expansion of 0 in x 4.784 * [taylor]: Taking taylor expansion of 0 in y 4.784 * [taylor]: Taking taylor expansion of 0 in y 4.786 * [taylor]: Taking taylor expansion of 0 in x 4.786 * [taylor]: Taking taylor expansion of 0 in y 4.786 * [taylor]: Taking taylor expansion of 0 in y 4.786 * [taylor]: Taking taylor expansion of 0 in y 4.787 * [approximate]: Taking taylor expansion of (* -1 (/ (* x y) z)) in (z x y) around 0 4.787 * [taylor]: Taking taylor expansion of (* -1 (/ (* x y) z)) in y 4.787 * [taylor]: Taking taylor expansion of -1 in y 4.787 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 4.787 * [taylor]: Taking taylor expansion of (* x y) in y 4.787 * [taylor]: Taking taylor expansion of x in y 4.787 * [taylor]: Taking taylor expansion of y in y 4.787 * [taylor]: Taking taylor expansion of z in y 4.787 * [taylor]: Taking taylor expansion of (* -1 (/ (* x y) z)) in x 4.787 * [taylor]: Taking taylor expansion of -1 in x 4.787 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 4.787 * [taylor]: Taking taylor expansion of (* x y) in x 4.787 * [taylor]: Taking taylor expansion of x in x 4.787 * [taylor]: Taking taylor expansion of y in x 4.787 * [taylor]: Taking taylor expansion of z in x 4.788 * [taylor]: Taking taylor expansion of (* -1 (/ (* x y) z)) in z 4.788 * [taylor]: Taking taylor expansion of -1 in z 4.788 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 4.788 * [taylor]: Taking taylor expansion of (* x y) in z 4.788 * [taylor]: Taking taylor expansion of x in z 4.788 * [taylor]: Taking taylor expansion of y in z 4.788 * [taylor]: Taking taylor expansion of z in z 4.788 * [taylor]: Taking taylor expansion of (* -1 (/ (* x y) z)) in z 4.788 * [taylor]: Taking taylor expansion of -1 in z 4.788 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 4.788 * [taylor]: Taking taylor expansion of (* x y) in z 4.788 * [taylor]: Taking taylor expansion of x in z 4.788 * [taylor]: Taking taylor expansion of y in z 4.788 * [taylor]: Taking taylor expansion of z in z 4.788 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in x 4.788 * [taylor]: Taking taylor expansion of -1 in x 4.788 * [taylor]: Taking taylor expansion of (* x y) in x 4.788 * [taylor]: Taking taylor expansion of x in x 4.788 * [taylor]: Taking taylor expansion of y in x 4.789 * [taylor]: Taking taylor expansion of (- y) in y 4.789 * [taylor]: Taking taylor expansion of y in y 4.790 * [taylor]: Taking taylor expansion of 0 in x 4.790 * [taylor]: Taking taylor expansion of 0 in y 4.791 * [taylor]: Taking taylor expansion of 0 in y 4.793 * [taylor]: Taking taylor expansion of 0 in x 4.793 * [taylor]: Taking taylor expansion of 0 in y 4.793 * [taylor]: Taking taylor expansion of 0 in y 4.794 * [taylor]: Taking taylor expansion of 0 in y 4.795 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.795 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (z x y) around 0 4.795 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 4.795 * [taylor]: Taking taylor expansion of (* x y) in y 4.795 * [taylor]: Taking taylor expansion of x in y 4.795 * [taylor]: Taking taylor expansion of y in y 4.795 * [taylor]: Taking taylor expansion of z in y 4.795 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 4.795 * [taylor]: Taking taylor expansion of (* x y) in x 4.795 * [taylor]: Taking taylor expansion of x in x 4.795 * [taylor]: Taking taylor expansion of y in x 4.795 * [taylor]: Taking taylor expansion of z in x 4.796 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 4.796 * [taylor]: Taking taylor expansion of (* x y) in z 4.796 * [taylor]: Taking taylor expansion of x in z 4.796 * [taylor]: Taking taylor expansion of y in z 4.796 * [taylor]: Taking taylor expansion of z in z 4.796 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 4.796 * [taylor]: Taking taylor expansion of (* x y) in z 4.796 * [taylor]: Taking taylor expansion of x in z 4.796 * [taylor]: Taking taylor expansion of y in z 4.796 * [taylor]: Taking taylor expansion of z in z 4.796 * [taylor]: Taking taylor expansion of (* x y) in x 4.796 * [taylor]: Taking taylor expansion of x in x 4.796 * [taylor]: Taking taylor expansion of y in x 4.796 * [taylor]: Taking taylor expansion of y in y 4.797 * [taylor]: Taking taylor expansion of 0 in x 4.797 * [taylor]: Taking taylor expansion of 0 in y 4.797 * [taylor]: Taking taylor expansion of 0 in y 4.799 * [taylor]: Taking taylor expansion of 0 in x 4.799 * [taylor]: Taking taylor expansion of 0 in y 4.799 * [taylor]: Taking taylor expansion of 0 in y 4.799 * [taylor]: Taking taylor expansion of 0 in y 4.800 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (z x y) around 0 4.800 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 4.800 * [taylor]: Taking taylor expansion of z in y 4.800 * [taylor]: Taking taylor expansion of (* x y) in y 4.800 * [taylor]: Taking taylor expansion of x in y 4.800 * [taylor]: Taking taylor expansion of y in y 4.800 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 4.800 * [taylor]: Taking taylor expansion of z in x 4.800 * [taylor]: Taking taylor expansion of (* x y) in x 4.800 * [taylor]: Taking taylor expansion of x in x 4.800 * [taylor]: Taking taylor expansion of y in x 4.801 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 4.801 * [taylor]: Taking taylor expansion of z in z 4.801 * [taylor]: Taking taylor expansion of (* x y) in z 4.801 * [taylor]: Taking taylor expansion of x in z 4.801 * [taylor]: Taking taylor expansion of y in z 4.801 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 4.801 * [taylor]: Taking taylor expansion of z in z 4.801 * [taylor]: Taking taylor expansion of (* x y) in z 4.801 * [taylor]: Taking taylor expansion of x in z 4.801 * [taylor]: Taking taylor expansion of y in z 4.801 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.801 * [taylor]: Taking taylor expansion of (* x y) in x 4.801 * [taylor]: Taking taylor expansion of x in x 4.801 * [taylor]: Taking taylor expansion of y in x 4.801 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.801 * [taylor]: Taking taylor expansion of y in y 4.802 * [taylor]: Taking taylor expansion of 0 in x 4.802 * [taylor]: Taking taylor expansion of 0 in y 4.803 * [taylor]: Taking taylor expansion of 0 in x 4.803 * [taylor]: Taking taylor expansion of 0 in y 4.804 * [taylor]: Taking taylor expansion of 0 in y 4.805 * [taylor]: Taking taylor expansion of 0 in x 4.805 * [taylor]: Taking taylor expansion of 0 in y 4.806 * [taylor]: Taking taylor expansion of 0 in y 4.807 * [taylor]: Taking taylor expansion of 0 in y 4.807 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (z x y) around 0 4.807 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 4.807 * [taylor]: Taking taylor expansion of -1 in y 4.807 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 4.807 * [taylor]: Taking taylor expansion of z in y 4.807 * [taylor]: Taking taylor expansion of (* x y) in y 4.807 * [taylor]: Taking taylor expansion of x in y 4.807 * [taylor]: Taking taylor expansion of y in y 4.808 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 4.808 * [taylor]: Taking taylor expansion of -1 in x 4.808 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 4.808 * [taylor]: Taking taylor expansion of z in x 4.808 * [taylor]: Taking taylor expansion of (* x y) in x 4.808 * [taylor]: Taking taylor expansion of x in x 4.808 * [taylor]: Taking taylor expansion of y in x 4.808 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 4.808 * [taylor]: Taking taylor expansion of -1 in z 4.808 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 4.808 * [taylor]: Taking taylor expansion of z in z 4.808 * [taylor]: Taking taylor expansion of (* x y) in z 4.808 * [taylor]: Taking taylor expansion of x in z 4.808 * [taylor]: Taking taylor expansion of y in z 4.808 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 4.808 * [taylor]: Taking taylor expansion of -1 in z 4.808 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 4.808 * [taylor]: Taking taylor expansion of z in z 4.808 * [taylor]: Taking taylor expansion of (* x y) in z 4.808 * [taylor]: Taking taylor expansion of x in z 4.808 * [taylor]: Taking taylor expansion of y in z 4.808 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 4.808 * [taylor]: Taking taylor expansion of -1 in x 4.809 * [taylor]: Taking taylor expansion of (* x y) in x 4.809 * [taylor]: Taking taylor expansion of x in x 4.809 * [taylor]: Taking taylor expansion of y in x 4.809 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.809 * [taylor]: Taking taylor expansion of -1 in y 4.809 * [taylor]: Taking taylor expansion of y in y 4.810 * [taylor]: Taking taylor expansion of 0 in x 4.811 * [taylor]: Taking taylor expansion of 0 in y 4.812 * [taylor]: Taking taylor expansion of 0 in x 4.812 * [taylor]: Taking taylor expansion of 0 in y 4.813 * [taylor]: Taking taylor expansion of 0 in y 4.815 * [taylor]: Taking taylor expansion of 0 in x 4.815 * [taylor]: Taking taylor expansion of 0 in y 4.815 * [taylor]: Taking taylor expansion of 0 in y 4.816 * [taylor]: Taking taylor expansion of 0 in y 4.817 * * * [progress]: simplifying candidates 4.818 * [simplify]: Simplifying using # : (expm1 (/ z (* x y))) (log1p (/ z (* x y))) (- (log z) (+ (log x) (log y))) (- (log z) (log (* x y))) (log (/ z (* x y))) (exp (/ z (* x y))) (/ (* (* z z) z) (* (* (* x x) x) (* (* y y) y))) (/ (* (* z z) z) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y)))) (cbrt (/ z (* x y))) (* (* (/ z (* x y)) (/ z (* x y))) (/ z (* x y))) (sqrt (/ z (* x y))) (sqrt (/ z (* x y))) (- z) (- (* x y)) (/ (* (cbrt z) (cbrt z)) x) (/ (cbrt z) y) (/ (sqrt z) x) (/ (sqrt z) y) (/ 1 x) (/ z y) (/ 1 (* x y)) (/ (* x y) z) (/ z x) (/ (* x y) (cbrt z)) (/ (* x y) (sqrt z)) (/ (* x y) z) (expm1 (/ 1 (/ z (* x y)))) (log1p (/ 1 (/ z (* x y)))) (- 1) (- (- (log z) (+ (log x) (log y)))) (- (- (log z) (log (* x y)))) (- (log (/ z (* x y)))) (- 0 (- (log z) (+ (log x) (log y)))) (- 0 (- (log z) (log (* x y)))) (- 0 (log (/ z (* x y)))) (- (log 1) (- (log z) (+ (log x) (log y)))) (- (log 1) (- (log z) (log (* x y)))) (- (log 1) (log (/ z (* x y)))) (log (/ 1 (/ z (* x y)))) (exp (/ 1 (/ z (* x y)))) (/ (* (* 1 1) 1) (/ (* (* z z) z) (* (* (* x x) x) (* (* y y) y)))) (/ (* (* 1 1) 1) (/ (* (* z z) z) (* (* (* x y) (* x y)) (* x y)))) (/ (* (* 1 1) 1) (* (* (/ z (* x y)) (/ z (* x y))) (/ z (* x y)))) (* (cbrt (/ 1 (/ z (* x y)))) (cbrt (/ 1 (/ z (* x y))))) (cbrt (/ 1 (/ z (* x y)))) (* (* (/ 1 (/ z (* x y))) (/ 1 (/ z (* x y)))) (/ 1 (/ z (* x y)))) (sqrt (/ 1 (/ z (* x y)))) (sqrt (/ 1 (/ z (* x y)))) (- 1) (- (/ z (* x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y))))) (/ (cbrt 1) (cbrt (/ z (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ z (* x y)))) (/ (cbrt 1) (sqrt (/ z (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt z) (cbrt z)) x)) (/ (cbrt 1) (/ (cbrt z) y)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt z) x)) (/ (cbrt 1) (/ (sqrt z) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ z y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ z (* x y))) (/ (* (cbrt 1) (cbrt 1)) z) (/ (cbrt 1) (/ 1 (* x y))) (/ (sqrt 1) (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y))))) (/ (sqrt 1) (cbrt (/ z (* x y)))) (/ (sqrt 1) (sqrt (/ z (* x y)))) (/ (sqrt 1) (sqrt (/ z (* x y)))) (/ (sqrt 1) (/ (* (cbrt z) (cbrt z)) x)) (/ (sqrt 1) (/ (cbrt z) y)) (/ (sqrt 1) (/ (sqrt z) x)) (/ (sqrt 1) (/ (sqrt z) y)) (/ (sqrt 1) (/ 1 x)) (/ (sqrt 1) (/ z y)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ z (* x y))) (/ (sqrt 1) z) (/ (sqrt 1) (/ 1 (* x y))) (/ 1 (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y))))) (/ 1 (cbrt (/ z (* x y)))) (/ 1 (sqrt (/ z (* x y)))) (/ 1 (sqrt (/ z (* x y)))) (/ 1 (/ (* (cbrt z) (cbrt z)) x)) (/ 1 (/ (cbrt z) y)) (/ 1 (/ (sqrt z) x)) (/ 1 (/ (sqrt z) y)) (/ 1 (/ 1 x)) (/ 1 (/ z y)) (/ 1 1) (/ 1 (/ z (* x y))) (/ 1 z) (/ 1 (/ 1 (* x y))) (/ 1 (/ z (* x y))) (/ (/ z (* x y)) 1) (/ 1 (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y))))) (/ 1 (sqrt (/ z (* x y)))) (/ 1 (/ (* (cbrt z) (cbrt z)) x)) (/ 1 (/ (sqrt z) x)) (/ 1 (/ 1 x)) (/ 1 1) (/ 1 z) (/ (/ z (* x y)) (cbrt 1)) (/ (/ z (* x y)) (sqrt 1)) (/ (/ z (* x y)) 1) (/ 1 z) (/ z (* x y)) (/ z (* x y)) (/ z (* x y)) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 4.821 * * [simplify]: iteration 0 : 122 enodes (cost 894 ) 4.846 * * [simplify]: iteration 1 : 283 enodes (cost 791 ) 4.925 * * [simplify]: iteration 2 : 1139 enodes (cost 631 ) 6.036 * * [simplify]: iteration 3 : 4773 enodes (cost 613 ) 9.015 * * [simplify]: iteration done : 5000 enodes (cost 613 ) 9.016 * [simplify]: Simplified to: (expm1 (/ z (* x y))) (log1p (/ z (* x y))) (log (/ z (* x y))) (log (/ z (* x y))) (log (/ z (* x y))) (exp (/ z (* x y))) (pow (/ (/ z x) y) 3) (pow (/ (/ z x) y) 3) (* (cbrt (/ (/ z y) x)) (cbrt (/ (/ z y) x))) (cbrt (/ (/ z y) x)) (pow (/ (/ z x) y) 3) (sqrt (/ (/ z y) x)) (sqrt (/ (/ z y) x)) (- z) (- (* x y)) (/ (cbrt z) (/ x (cbrt z))) (/ (cbrt z) y) (/ (sqrt z) x) (/ (sqrt z) y) (/ 1 x) (/ z y) (/ 1 (* y x)) (/ y (/ z x)) (/ z x) (/ (* x y) (cbrt z)) (/ (* x y) (sqrt z)) (/ y (/ z x)) (expm1 (/ (* x y) z)) (log1p (/ (* x y) z)) -1 (log (/ y (/ z x))) (log (/ y (/ z x))) (log (/ y (/ z x))) (log (/ y (/ z x))) (log (/ y (/ z x))) (log (/ y (/ z x))) (log (/ y (/ z x))) (log (/ y (/ z x))) (log (/ y (/ z x))) (log (/ y (/ z x))) (exp (/ y (/ z x))) (pow (/ y (/ z x)) 3) (pow (/ y (/ z x)) 3) (pow (/ y (/ z x)) 3) (* (cbrt (/ y (/ z x))) (cbrt (/ y (/ z x)))) (cbrt (/ y (/ z x))) (pow (/ y (/ z x)) 3) (sqrt (/ y (/ z x))) (sqrt (/ y (/ z x))) -1 (- (/ z (* x y))) (/ 1 (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y))))) (/ 1 (cbrt (/ (/ z y) x))) (/ 1 (sqrt (/ z (* x y)))) (/ 1 (sqrt (/ z (* x y)))) (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) x (/ y z) 1 (/ y (/ z x)) (/ 1 z) (* y x) (/ 1 (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y))))) (/ 1 (cbrt (/ (/ z y) x))) (/ 1 (sqrt (/ z (* x y)))) (/ 1 (sqrt (/ z (* x y)))) (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) x (/ y z) 1 (/ y (/ z x)) (/ 1 z) (* y x) (/ 1 (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y))))) (/ 1 (cbrt (/ (/ z y) x))) (/ 1 (sqrt (/ z (* x y)))) (/ 1 (sqrt (/ z (* x y)))) (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) x (/ y z) 1 (/ y (/ z x)) (/ 1 z) (* y x) (/ y (/ z x)) (/ (/ z y) x) (/ 1 (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y))))) (/ 1 (sqrt (/ z (* x y)))) (/ x (* (cbrt z) (cbrt z))) (/ x (sqrt z)) x 1 (/ 1 z) (/ (/ z y) x) (/ (/ z y) x) (/ (/ z y) x) (/ 1 z) (/ (/ z y) x) (/ (/ z y) x) (/ (/ z y) x) (/ y (/ z x)) (/ y (/ z x)) (/ y (/ z x)) 9.016 * * * [progress]: adding candidates to table 9.131 * * [progress]: iteration 4 / 4 9.131 * * * [progress]: picking best candidate 9.138 * * * * [pick]: Picked # 9.138 * * * [progress]: localizing error 9.143 * * * [progress]: generating rewritten candidates 9.143 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 9.152 * * * [progress]: generating series expansions 9.152 * * * * [progress]: [ 1 / 1 ] generating series at (2) 9.152 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x z y) around 0 9.152 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 9.152 * [taylor]: Taking taylor expansion of (* x y) in y 9.152 * [taylor]: Taking taylor expansion of x in y 9.152 * [taylor]: Taking taylor expansion of y in y 9.152 * [taylor]: Taking taylor expansion of z in y 9.153 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 9.153 * [taylor]: Taking taylor expansion of (* x y) in z 9.153 * [taylor]: Taking taylor expansion of x in z 9.153 * [taylor]: Taking taylor expansion of y in z 9.153 * [taylor]: Taking taylor expansion of z in z 9.153 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 9.153 * [taylor]: Taking taylor expansion of (* x y) in x 9.153 * [taylor]: Taking taylor expansion of x in x 9.153 * [taylor]: Taking taylor expansion of y in x 9.153 * [taylor]: Taking taylor expansion of z in x 9.153 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 9.153 * [taylor]: Taking taylor expansion of (* x y) in x 9.153 * [taylor]: Taking taylor expansion of x in x 9.153 * [taylor]: Taking taylor expansion of y in x 9.153 * [taylor]: Taking taylor expansion of z in x 9.154 * [taylor]: Taking taylor expansion of (/ y z) in z 9.154 * [taylor]: Taking taylor expansion of y in z 9.154 * [taylor]: Taking taylor expansion of z in z 9.154 * [taylor]: Taking taylor expansion of y in y 9.155 * [taylor]: Taking taylor expansion of 0 in z 9.155 * [taylor]: Taking taylor expansion of 0 in y 9.156 * [taylor]: Taking taylor expansion of 0 in z 9.156 * [taylor]: Taking taylor expansion of 0 in y 9.157 * [taylor]: Taking taylor expansion of 0 in y 9.157 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x z y) around 0 9.157 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 9.157 * [taylor]: Taking taylor expansion of z in y 9.157 * [taylor]: Taking taylor expansion of (* x y) in y 9.157 * [taylor]: Taking taylor expansion of x in y 9.158 * [taylor]: Taking taylor expansion of y in y 9.158 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 9.158 * [taylor]: Taking taylor expansion of z in z 9.158 * [taylor]: Taking taylor expansion of (* x y) in z 9.158 * [taylor]: Taking taylor expansion of x in z 9.158 * [taylor]: Taking taylor expansion of y in z 9.158 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 9.158 * [taylor]: Taking taylor expansion of z in x 9.158 * [taylor]: Taking taylor expansion of (* x y) in x 9.158 * [taylor]: Taking taylor expansion of x in x 9.158 * [taylor]: Taking taylor expansion of y in x 9.159 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 9.159 * [taylor]: Taking taylor expansion of z in x 9.159 * [taylor]: Taking taylor expansion of (* x y) in x 9.159 * [taylor]: Taking taylor expansion of x in x 9.159 * [taylor]: Taking taylor expansion of y in x 9.159 * [taylor]: Taking taylor expansion of (/ z y) in z 9.159 * [taylor]: Taking taylor expansion of z in z 9.159 * [taylor]: Taking taylor expansion of y in z 9.159 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.159 * [taylor]: Taking taylor expansion of y in y 9.160 * [taylor]: Taking taylor expansion of 0 in z 9.160 * [taylor]: Taking taylor expansion of 0 in y 9.160 * [taylor]: Taking taylor expansion of 0 in y 9.162 * [taylor]: Taking taylor expansion of 0 in z 9.162 * [taylor]: Taking taylor expansion of 0 in y 9.162 * [taylor]: Taking taylor expansion of 0 in y 9.162 * [taylor]: Taking taylor expansion of 0 in y 9.164 * [taylor]: Taking taylor expansion of 0 in z 9.164 * [taylor]: Taking taylor expansion of 0 in y 9.164 * [taylor]: Taking taylor expansion of 0 in y 9.164 * [taylor]: Taking taylor expansion of 0 in y 9.164 * [taylor]: Taking taylor expansion of 0 in y 9.164 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x z y) around 0 9.164 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 9.164 * [taylor]: Taking taylor expansion of -1 in y 9.164 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 9.164 * [taylor]: Taking taylor expansion of z in y 9.164 * [taylor]: Taking taylor expansion of (* x y) in y 9.164 * [taylor]: Taking taylor expansion of x in y 9.164 * [taylor]: Taking taylor expansion of y in y 9.165 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 9.165 * [taylor]: Taking taylor expansion of -1 in z 9.165 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 9.165 * [taylor]: Taking taylor expansion of z in z 9.165 * [taylor]: Taking taylor expansion of (* x y) in z 9.165 * [taylor]: Taking taylor expansion of x in z 9.165 * [taylor]: Taking taylor expansion of y in z 9.165 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 9.165 * [taylor]: Taking taylor expansion of -1 in x 9.165 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 9.165 * [taylor]: Taking taylor expansion of z in x 9.165 * [taylor]: Taking taylor expansion of (* x y) in x 9.165 * [taylor]: Taking taylor expansion of x in x 9.165 * [taylor]: Taking taylor expansion of y in x 9.166 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 9.166 * [taylor]: Taking taylor expansion of -1 in x 9.166 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 9.166 * [taylor]: Taking taylor expansion of z in x 9.166 * [taylor]: Taking taylor expansion of (* x y) in x 9.166 * [taylor]: Taking taylor expansion of x in x 9.166 * [taylor]: Taking taylor expansion of y in x 9.166 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in z 9.166 * [taylor]: Taking taylor expansion of -1 in z 9.166 * [taylor]: Taking taylor expansion of (/ z y) in z 9.166 * [taylor]: Taking taylor expansion of z in z 9.166 * [taylor]: Taking taylor expansion of y in z 9.166 * [taylor]: Taking taylor expansion of (/ -1 y) in y 9.166 * [taylor]: Taking taylor expansion of -1 in y 9.166 * [taylor]: Taking taylor expansion of y in y 9.168 * [taylor]: Taking taylor expansion of 0 in z 9.168 * [taylor]: Taking taylor expansion of 0 in y 9.168 * [taylor]: Taking taylor expansion of 0 in y 9.170 * [taylor]: Taking taylor expansion of 0 in z 9.170 * [taylor]: Taking taylor expansion of 0 in y 9.170 * [taylor]: Taking taylor expansion of 0 in y 9.171 * [taylor]: Taking taylor expansion of 0 in y 9.174 * [taylor]: Taking taylor expansion of 0 in z 9.174 * [taylor]: Taking taylor expansion of 0 in y 9.174 * [taylor]: Taking taylor expansion of 0 in y 9.174 * [taylor]: Taking taylor expansion of 0 in y 9.175 * [taylor]: Taking taylor expansion of 0 in y 9.175 * * * [progress]: simplifying candidates 9.176 * [simplify]: Simplifying using # : (expm1 (/ x (/ z y))) (log1p (/ x (/ z y))) (- (log x) (- (log z) (log y))) (- (log x) (log (/ z y))) (log (/ x (/ z y))) (exp (/ x (/ z y))) (/ (* (* x x) x) (/ (* (* z z) z) (* (* y y) y))) (/ (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y))) (* (cbrt (/ x (/ z y))) (cbrt (/ x (/ z y)))) (cbrt (/ x (/ z y))) (* (* (/ x (/ z y)) (/ x (/ z y))) (/ x (/ z y))) (sqrt (/ x (/ z y))) (sqrt (/ x (/ z y))) (- x) (- (/ z y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ (cbrt x) (cbrt (/ z y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ z y))) (/ (cbrt x) (sqrt (/ z y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (cbrt z) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (sqrt y))) (/ (cbrt x) (/ (cbrt z) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) 1)) (/ (cbrt x) (/ (cbrt z) y)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (sqrt z) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) (sqrt y))) (/ (cbrt x) (/ (sqrt z) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) 1)) (/ (cbrt x) (/ (sqrt z) y)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ z (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt y))) (/ (cbrt x) (/ z (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ z y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ z y)) (/ (* (cbrt x) (cbrt x)) z) (/ (cbrt x) (/ 1 y)) (/ (sqrt x) (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ (sqrt x) (cbrt (/ z y))) (/ (sqrt x) (sqrt (/ z y))) (/ (sqrt x) (sqrt (/ z y))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (cbrt z) (cbrt y))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) (sqrt y))) (/ (sqrt x) (/ (cbrt z) (sqrt y))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) 1)) (/ (sqrt x) (/ (cbrt z) y)) (/ (sqrt x) (/ (sqrt z) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (sqrt z) (cbrt y))) (/ (sqrt x) (/ (sqrt z) (sqrt y))) (/ (sqrt x) (/ (sqrt z) (sqrt y))) (/ (sqrt x) (/ (sqrt z) 1)) (/ (sqrt x) (/ (sqrt z) y)) (/ (sqrt x) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ z (cbrt y))) (/ (sqrt x) (/ 1 (sqrt y))) (/ (sqrt x) (/ z (sqrt y))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ z y)) (/ (sqrt x) 1) (/ (sqrt x) (/ z y)) (/ (sqrt x) z) (/ (sqrt x) (/ 1 y)) (/ 1 (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ x (cbrt (/ z y))) (/ 1 (sqrt (/ z y))) (/ x (sqrt (/ z y))) (/ 1 (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (/ x (/ (cbrt z) (cbrt y))) (/ 1 (/ (* (cbrt z) (cbrt z)) (sqrt y))) (/ x (/ (cbrt z) (sqrt y))) (/ 1 (/ (* (cbrt z) (cbrt z)) 1)) (/ x (/ (cbrt z) y)) (/ 1 (/ (sqrt z) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt z) (cbrt y))) (/ 1 (/ (sqrt z) (sqrt y))) (/ x (/ (sqrt z) (sqrt y))) (/ 1 (/ (sqrt z) 1)) (/ x (/ (sqrt z) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ z (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ x (/ z (sqrt y))) (/ 1 (/ 1 1)) (/ x (/ z y)) (/ 1 1) (/ x (/ z y)) (/ 1 z) (/ x (/ 1 y)) (/ 1 (/ z y)) (/ (/ z y) x) (/ x (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ x (sqrt (/ z y))) (/ x (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (/ x (/ (* (cbrt z) (cbrt z)) (sqrt y))) (/ x (/ (* (cbrt z) (cbrt z)) 1)) (/ x (/ (sqrt z) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt z) (sqrt y))) (/ x (/ (sqrt z) 1)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ 1 (sqrt y))) (/ x (/ 1 1)) (/ x 1) (/ x z) (/ (/ z y) (cbrt x)) (/ (/ z y) (sqrt x)) (/ (/ z y) x) (/ x z) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 9.180 * * [simplify]: iteration 0 : 152 enodes (cost 892 ) 9.208 * * [simplify]: iteration 1 : 330 enodes (cost 825 ) 9.286 * * [simplify]: iteration 2 : 1307 enodes (cost 785 ) 9.718 * * [simplify]: iteration done : 5000 enodes (cost 783 ) 9.718 * [simplify]: Simplified to: (expm1 (/ x (/ z y))) (log1p (/ x (/ z y))) (log (/ x (/ z y))) (log (/ x (/ z y))) (log (/ x (/ z y))) (exp (/ x (/ z y))) (pow (/ (* x y) z) 3) (pow (/ (* x y) z) 3) (* (cbrt (/ x (/ z y))) (cbrt (/ x (/ z y)))) (cbrt (/ x (/ z y))) (pow (/ (* x y) z) 3) (sqrt (/ x (/ z y))) (sqrt (/ x (/ z y))) (- x) (- (/ z y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ (cbrt x) (cbrt (/ z y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ z y))) (/ (cbrt x) (sqrt (/ z y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (cbrt z) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (sqrt y))) (/ (cbrt x) (/ (cbrt z) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z))) (/ (cbrt x) (/ (cbrt z) y)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (sqrt z) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) (sqrt y))) (/ (cbrt x) (/ (sqrt z) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (sqrt z)) (/ (cbrt x) (/ (sqrt z) y)) (* (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (cbrt x) (/ z (cbrt y))) (* (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (/ z (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ z y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ z y)) (/ (* (cbrt x) (cbrt x)) z) (* (cbrt x) y) (/ (sqrt x) (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ (sqrt x) (cbrt (/ z y))) (/ (sqrt x) (sqrt (/ z y))) (/ (sqrt x) (sqrt (/ z y))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (cbrt z) (cbrt y))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) (sqrt y))) (/ (sqrt x) (/ (cbrt z) (sqrt y))) (/ (sqrt x) (* (cbrt z) (cbrt z))) (/ (sqrt x) (/ (cbrt z) y)) (/ (sqrt x) (/ (sqrt z) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (sqrt z) (cbrt y))) (/ (sqrt x) (/ (sqrt z) (sqrt y))) (/ (sqrt x) (/ (sqrt z) (sqrt y))) (/ (sqrt x) (sqrt z)) (/ (sqrt x) (/ (sqrt z) y)) (* (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (/ z (cbrt y))) (* (sqrt x) (sqrt y)) (/ (sqrt x) (/ z (sqrt y))) (sqrt x) (/ (sqrt x) (/ z y)) (sqrt x) (/ (sqrt x) (/ z y)) (/ (sqrt x) z) (* (sqrt x) y) (/ 1 (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ x (cbrt (/ z y))) (/ 1 (sqrt (/ z y))) (/ x (sqrt (/ z y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt y))) (/ (sqrt y) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (sqrt y))) (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)) (/ (* (cbrt y) (cbrt y)) (sqrt z)) (/ x (/ (sqrt z) (cbrt y))) (/ (sqrt y) (sqrt z)) (/ x (/ (sqrt z) (sqrt y))) (/ 1 (sqrt z)) (/ x (/ (sqrt z) y)) (* (cbrt y) (cbrt y)) (/ x (/ z (cbrt y))) (sqrt y) (/ x (/ z (sqrt y))) 1 (/ x (/ z y)) 1 (/ x (/ z y)) (/ 1 z) (* x y) (/ y z) (/ (/ z y) x) (/ x (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ x (sqrt (/ z y))) (/ x (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (/ x (/ (* (cbrt z) (cbrt z)) (sqrt y))) (/ x (* (cbrt z) (cbrt z))) (/ x (/ (sqrt z) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt z) (sqrt y))) (/ x (sqrt z)) (* x (* (cbrt y) (cbrt y))) (* x (sqrt y)) x x (/ x z) (/ (/ z y) (cbrt x)) (/ (/ z y) (sqrt x)) (/ (/ z y) x) (/ x z) (/ x (/ z y)) (/ x (/ z y)) (/ x (/ z y)) 9.719 * * * [progress]: adding candidates to table 9.890 * [progress]: [Phase 3 of 3] Extracting. 9.890 * * [regime]: Finding splitpoints for: (# # # # # # #) 9.891 * * * [regime-changes]: Trying 4 branch expressions: ((* x y) z y x) 9.891 * * * * [regimes]: Trying to branch on (* x y) from (# # # # # # #) 9.935 * * * * [regimes]: Trying to branch on (* x y) from (# #) 9.948 * * * * [regimes]: Trying to branch on z from (# # # # # # #) 9.995 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 10.024 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 10.064 * * * [regime]: Found split indices: #