19.253 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying using # : (/ (* (cosh x) (/ y x)) z) 0.059 * * [simplify]: iteration 0 : 18 enodes (cost 4 ) 0.060 * * [simplify]: iteration 1 : 41 enodes (cost 4 ) 0.062 * * [simplify]: iteration 2 : 102 enodes (cost 4 ) 0.064 * * [simplify]: iteration 3 : 224 enodes (cost 4 ) 0.067 * * [simplify]: iteration 4 : 401 enodes (cost 4 ) 0.071 * * [simplify]: iteration 5 : 758 enodes (cost 4 ) 0.083 * * [simplify]: iteration 6 : 2403 enodes (cost 4 ) 0.111 * * [simplify]: iteration 7 : 5001 enodes (cost 4 ) 0.112 * [simplify]: Simplified to: (/ (* (cosh x) (/ y x)) z) 0.112 * * [progress]: iteration 1 / 4 0.112 * * * [progress]: picking best candidate 0.116 * * * * [pick]: Picked # 0.116 * * * [progress]: localizing error 0.122 * * * [progress]: generating rewritten candidates 0.122 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.128 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.135 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.138 * * * [progress]: generating series expansions 0.138 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.138 * [approximate]: Approximating (/ (* (cosh x) y) (* x z)) in (x y z) around 0 0.147 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 0.147 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.151 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 0.151 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.152 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.158 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 0.158 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.158 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.158 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.167 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 0.167 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.167 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.167 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.167 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.168 * [approximate]: Approximating (/ (* (cosh (/ 1 x)) (* x z)) y) in (x y z) around 0 0.180 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in y 0.181 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 0.192 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in y 0.196 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 0.205 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in y 0.206 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 0.212 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 0.220 * [approximate]: Approximating (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in (x y z) around 0 0.232 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in y 0.233 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in z 0.241 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in y 0.245 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in z 0.256 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in y 0.256 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in z 0.265 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in z 0.274 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.274 * [approximate]: Approximating (/ (* (cosh x) y) x) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) x) in y 0.284 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) x) in y 0.289 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) x) in y 0.298 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) x) in y 0.299 * [approximate]: Approximating (/ (* (cosh (/ 1 x)) x) y) in (x y) around 0 0.306 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) x) y) in y 0.309 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) x) y) in y 0.315 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) x) y) in y 0.324 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) x) y) in y 0.332 * [approximate]: Approximating (/ (* x (cosh (/ -1 x))) y) in (x y) around 0 0.339 * [taylor]: Taking taylor expansion of (/ (* x (cosh (/ -1 x))) y) in y 0.345 * [taylor]: Taking taylor expansion of (/ (* x (cosh (/ -1 x))) y) in y 0.352 * [taylor]: Taking taylor expansion of (/ (* x (cosh (/ -1 x))) y) in y 0.361 * [taylor]: Taking taylor expansion of (/ (* x (cosh (/ -1 x))) y) in y 0.367 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.367 * [approximate]: Approximating (cosh x) in (x) around 0 0.390 * [approximate]: Approximating (cosh (/ 1 x)) in (x) around 0 0.405 * [approximate]: Approximating (cosh (/ -1 x)) in (x) around 0 0.425 * * * [progress]: simplifying candidates 0.426 * [simplify]: Simplifying using # : (- (+ (log (cosh x)) (- (log y) (log x))) (log z)) (- (+ (log (cosh x)) (log (/ y x))) (log z)) (- (log (* (cosh x) (/ y x))) (log z)) (log (/ (* (cosh x) (/ y x)) z)) (exp (/ (* (cosh x) (/ y x)) z)) (/ (* (* (* (cosh x) (cosh x)) (cosh x)) (/ (* (* y y) y) (* (* x x) x))) (* (* z z) z)) (/ (* (* (* (cosh x) (cosh x)) (cosh x)) (* (* (/ y x) (/ y x)) (/ y x))) (* (* z z) z)) (/ (* (* (* (cosh x) (/ y x)) (* (cosh x) (/ y x))) (* (cosh x) (/ y x))) (* (* z z) z)) (* (cbrt (/ (* (cosh x) (/ y x)) z)) (cbrt (/ (* (cosh x) (/ y x)) z))) (cbrt (/ (* (cosh x) (/ y x)) z)) (* (* (/ (* (cosh x) (/ y x)) z) (/ (* (cosh x) (/ y x)) z)) (/ (* (cosh x) (/ y x)) z)) (sqrt (/ (* (cosh x) (/ y x)) z)) (sqrt (/ (* (cosh x) (/ y x)) z)) (neg (* (cosh x) (/ y x))) (neg z) (/ (cosh x) (* (cbrt z) (cbrt z))) (/ (/ y x) (cbrt z)) (/ (cosh x) (sqrt z)) (/ (/ y x) (sqrt z)) (/ (cosh x) 1) (/ (/ y x) z) (/ 1 z) (/ z (* (cosh x) (/ y x))) (/ (* (cosh x) (/ y x)) (* (cbrt z) (cbrt z))) (/ (* (cosh x) (/ y x)) (sqrt z)) (/ (* (cosh x) (/ y x)) 1) (/ z (/ y x)) (* z (* 2 x)) (* z x) (* z 2) (* (cosh x) (/ y x)) (+ (log (cosh x)) (- (log y) (log x))) (+ (log (cosh x)) (log (/ y x))) (log (* (cosh x) (/ y x))) (exp (* (cosh x) (/ y x))) (* (* (* (cosh x) (cosh x)) (cosh x)) (/ (* (* y y) y) (* (* x x) x))) (* (* (* (cosh x) (cosh x)) (cosh x)) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* (cosh x) (/ y x))) (cbrt (* (cosh x) (/ y x)))) (cbrt (* (cosh x) (/ y x))) (* (* (* (cosh x) (/ y x)) (* (cosh x) (/ y x))) (* (cosh x) (/ y x))) (sqrt (* (cosh x) (/ y x))) (sqrt (* (cosh x) (/ y x))) (* (+ (exp x) (exp (neg x))) y) (* 2 x) (* (sqrt (cosh x)) (sqrt (/ y x))) (* (sqrt (cosh x)) (sqrt (/ y x))) (* (sqrt (cosh x)) (/ (sqrt y) (sqrt x))) (* (sqrt (cosh x)) (/ (sqrt y) (sqrt x))) (* (cosh x) (* (cbrt (/ y x)) (cbrt (/ y x)))) (* (cosh x) (sqrt (/ y x))) (* (cosh x) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* (cosh x) (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (cosh x) (/ (* (cbrt y) (cbrt y)) 1)) (* (cosh x) (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* (cosh x) (/ (sqrt y) (sqrt x))) (* (cosh x) (/ (sqrt y) 1)) (* (cosh x) (/ 1 (* (cbrt x) (cbrt x)))) (* (cosh x) (/ 1 (sqrt x))) (* (cosh x) (/ 1 1)) (* (cosh x) 1) (* (cosh x) y) (* (cbrt (cosh x)) (/ y x)) (* (sqrt (cosh x)) (/ y x)) (* (cosh x) (/ y x)) (* (cosh x) y) (* (+ (exp x) (exp (neg x))) (/ y x)) (+ (exp x) (exp (neg x))) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (* (* (cosh x) (cosh x)) (cosh x)) (sqrt (cosh x)) (sqrt (cosh x)) (+ (* 1/2 (/ (* x y) z)) (/ y (* x z))) (/ (* (+ (* 1/2 (exp (neg x))) (* 1/2 (exp x))) y) (* z x)) (/ (* (+ (* 1/2 (exp (* -1 x))) (* 1/2 (exp x))) y) (* z x)) (+ (/ y x) (* 1/2 (* x y))) (/ (* (+ (* 1/2 (exp (neg x))) (* 1/2 (exp x))) y) x) (/ (* (+ (* 1/2 (exp (* -1 x))) (* 1/2 (exp x))) y) x) (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (* 1/2 (+ (exp (neg x)) (exp x))) (* 1/2 (+ (exp (* -1 x)) (exp x))) 0.430 * * [simplify]: iteration 0 : 365 enodes (cost 414 ) 0.437 * * [simplify]: iteration 1 : 1576 enodes (cost 354 ) 0.467 * * [simplify]: iteration 2 : 5001 enodes (cost 354 ) 0.470 * [simplify]: Simplified to: (log (/ (* (cosh x) (/ y x)) z)) (log (/ (* (cosh x) (/ y x)) z)) (log (/ (* (cosh x) (/ y x)) z)) (log (/ (* (cosh x) (/ y x)) z)) (exp (/ (* (cosh x) (/ y x)) z)) (pow (/ (* (cosh x) (/ y x)) z) 3) (pow (/ (* (cosh x) (/ y x)) z) 3) (pow (/ (* (cosh x) (/ y x)) z) 3) (* (cbrt (/ (* (cosh x) (/ y x)) z)) (cbrt (/ (* (cosh x) (/ y x)) z))) (cbrt (/ (* (cosh x) (/ y x)) z)) (pow (/ (* (cosh x) (/ y x)) z) 3) (sqrt (/ (* (cosh x) (/ y x)) z)) (sqrt (/ (* (cosh x) (/ y x)) z)) (neg (* (cosh x) (/ y x))) (neg z) (/ (cosh x) (* (cbrt z) (cbrt z))) (/ (/ y x) (cbrt z)) (/ (cosh x) (sqrt z)) (/ (/ y x) (sqrt z)) (cosh x) (/ y (* x z)) (/ 1 z) (/ z (* (cosh x) (/ y x))) (/ (* (cosh x) (/ y x)) (* (cbrt z) (cbrt z))) (/ (* (cosh x) (/ y x)) (sqrt z)) (* (cosh x) (/ y x)) (/ z (/ y x)) (* z (* 2 x)) (* z x) (* z 2) (* (cosh x) (/ y x)) (log (* (cosh x) (/ y x))) (log (* (cosh x) (/ y x))) (log (* (cosh x) (/ y x))) (exp (* (cosh x) (/ y x))) (pow (* (cosh x) (/ y x)) 3) (pow (* (cosh x) (/ y x)) 3) (* (cbrt (* (cosh x) (/ y x))) (cbrt (* (cosh x) (/ y x)))) (cbrt (* (cosh x) (/ y x))) (pow (* (cosh x) (/ y x)) 3) (sqrt (* (cosh x) (/ y x))) (sqrt (* (cosh x) (/ y x))) (* (+ (exp x) (exp (neg x))) y) (* 2 x) (* (sqrt (cosh x)) (sqrt (/ y x))) (* (sqrt (cosh x)) (sqrt (/ y x))) (* (sqrt (cosh x)) (/ (sqrt y) (sqrt x))) (* (sqrt (cosh x)) (/ (sqrt y) (sqrt x))) (* (cosh x) (* (cbrt (/ y x)) (cbrt (/ y x)))) (* (cosh x) (sqrt (/ y x))) (* (cosh x) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* (cosh x) (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) (cosh x)) (* (cosh x) (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* (cosh x) (/ (sqrt y) (sqrt x))) (* (sqrt y) (cosh x)) (/ (cosh x) (* (cbrt x) (cbrt x))) (/ (cosh x) (sqrt x)) (cosh x) (cosh x) (* (cosh x) y) (* (cbrt (cosh x)) (/ y x)) (* (sqrt (cosh x)) (/ y x)) (* (cosh x) (/ y x)) (* (cosh x) y) (* (+ (exp x) (exp (neg x))) (/ y x)) (+ (exp (* -1 x)) (exp x)) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (pow (cosh x) 3) (sqrt (cosh x)) (sqrt (cosh x)) (+ (* 1/2 (/ (* x y) z)) (/ y (* x z))) (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y)) (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y)) (+ (/ y x) (* 1/2 (* x y))) (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y)) (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y)) (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (* 1/2 (+ (exp (* -1 x)) (exp x))) (* 1/2 (+ (exp (* -1 x)) (exp x))) 0.470 * * * [progress]: adding candidates to table 0.713 * * [progress]: iteration 2 / 4 0.713 * * * [progress]: picking best candidate 0.742 * * * * [pick]: Picked # 0.742 * * * [progress]: localizing error 0.748 * * * [progress]: generating rewritten candidates 0.748 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.752 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.759 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.762 * * * [progress]: generating series expansions 0.762 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.762 * [approximate]: Approximating (/ y (* x z)) in (y x z) around 0 0.763 * [taylor]: Taking taylor expansion of (/ y (* x z)) in x 0.763 * [taylor]: Taking taylor expansion of (/ y (* x z)) in z 0.764 * [taylor]: Taking taylor expansion of (/ y (* x z)) in x 0.765 * [taylor]: Taking taylor expansion of (/ y (* x z)) in z 0.766 * [taylor]: Taking taylor expansion of (/ y (* x z)) in x 0.766 * [taylor]: Taking taylor expansion of (/ y (* x z)) in z 0.767 * [taylor]: Taking taylor expansion of (/ y (* x z)) in z 0.768 * [taylor]: Taking taylor expansion of (/ y (* x z)) in x 0.768 * [taylor]: Taking taylor expansion of (/ y (* x z)) in z 0.768 * [taylor]: Taking taylor expansion of (/ y (* x z)) in z 0.770 * [taylor]: Taking taylor expansion of (/ y (* x z)) in z 0.770 * [approximate]: Approximating (/ (* x z) y) in (y x z) around 0 0.771 * [taylor]: Taking taylor expansion of (/ (* x z) y) in x 0.771 * [taylor]: Taking taylor expansion of (/ (* x z) y) in z 0.772 * [taylor]: Taking taylor expansion of (/ (* x z) y) in x 0.772 * [taylor]: Taking taylor expansion of (/ (* x z) y) in z 0.773 * [taylor]: Taking taylor expansion of (/ (* x z) y) in z 0.775 * [taylor]: Taking taylor expansion of (/ (* x z) y) in x 0.775 * [taylor]: Taking taylor expansion of (/ (* x z) y) in z 0.775 * [taylor]: Taking taylor expansion of (/ (* x z) y) in z 0.776 * [taylor]: Taking taylor expansion of (/ (* x z) y) in z 0.776 * [approximate]: Approximating (* -1 (/ (* x z) y)) in (y x z) around 0 0.777 * [taylor]: Taking taylor expansion of (* -1 (/ (* x z) y)) in x 0.778 * [taylor]: Taking taylor expansion of (* -1 (/ (* x z) y)) in z 0.779 * [taylor]: Taking taylor expansion of (* -1 (/ (* x z) y)) in x 0.779 * [taylor]: Taking taylor expansion of (* -1 (/ (* x z) y)) in z 0.781 * [taylor]: Taking taylor expansion of (* -1 (/ (* x z) y)) in z 0.783 * [taylor]: Taking taylor expansion of (* -1 (/ (* x z) y)) in x 0.783 * [taylor]: Taking taylor expansion of (* -1 (/ (* x z) y)) in z 0.783 * [taylor]: Taking taylor expansion of (* -1 (/ (* x z) y)) in z 0.785 * [taylor]: Taking taylor expansion of (* -1 (/ (* x z) y)) in z 0.786 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.786 * [approximate]: Approximating (/ (* (cosh x) y) (* x z)) in (x y z) around 0 0.793 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 0.794 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.800 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 0.801 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.801 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.807 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 0.807 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.807 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.807 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.816 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 0.816 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.817 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.817 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.817 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 0.818 * [approximate]: Approximating (/ (* (cosh (/ 1 x)) (* x z)) y) in (x y z) around 0 0.830 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in y 0.830 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 0.837 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in y 0.841 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 0.851 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in y 0.851 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 0.857 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 0.866 * [approximate]: Approximating (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in (x y z) around 0 0.880 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in y 0.881 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in z 0.889 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in y 0.893 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in z 0.904 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in y 0.904 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in z 0.911 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in z 0.919 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.919 * [approximate]: Approximating (cosh x) in (x) around 0 0.942 * [approximate]: Approximating (cosh (/ 1 x)) in (x) around 0 0.961 * [approximate]: Approximating (cosh (/ -1 x)) in (x) around 0 0.977 * * * [progress]: simplifying candidates 0.978 * [simplify]: Simplifying using # : (- (log y) (+ (log x) (log z))) (- (log y) (log (* x z))) (log (/ y (* x z))) (exp (/ y (* x z))) (/ (* (* y y) y) (* (* (* x x) x) (* (* z z) z))) (/ (* (* y y) y) (* (* (* x z) (* x z)) (* x z))) (* (cbrt (/ y (* x z))) (cbrt (/ y (* x z)))) (cbrt (/ y (* x z))) (* (* (/ y (* x z)) (/ y (* x z))) (/ y (* x z))) (sqrt (/ y (* x z))) (sqrt (/ y (* x z))) (neg y) (neg (* x z)) (/ (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z) (/ (sqrt y) x) (/ (sqrt y) z) (/ 1 x) (/ y z) (/ 1 (* x z)) (/ (* x z) y) (/ y x) (/ (* x z) (cbrt y)) (/ (* x z) (sqrt y)) (/ (* x z) y) (* (cosh x) (/ y (* x z))) (+ (log (cosh x)) (- (log y) (+ (log x) (log z)))) (+ (log (cosh x)) (- (log y) (log (* x z)))) (+ (log (cosh x)) (log (/ y (* x z)))) (log (* (cosh x) (/ y (* x z)))) (exp (* (cosh x) (/ y (* x z)))) (* (* (* (cosh x) (cosh x)) (cosh x)) (/ (* (* y y) y) (* (* (* x x) x) (* (* z z) z)))) (* (* (* (cosh x) (cosh x)) (cosh x)) (/ (* (* y y) y) (* (* (* x z) (* x z)) (* x z)))) (* (* (* (cosh x) (cosh x)) (cosh x)) (* (* (/ y (* x z)) (/ y (* x z))) (/ y (* x z)))) (* (cbrt (* (cosh x) (/ y (* x z)))) (cbrt (* (cosh x) (/ y (* x z))))) (cbrt (* (cosh x) (/ y (* x z)))) (* (* (* (cosh x) (/ y (* x z))) (* (cosh x) (/ y (* x z)))) (* (cosh x) (/ y (* x z)))) (sqrt (* (cosh x) (/ y (* x z)))) (sqrt (* (cosh x) (/ y (* x z)))) (* (+ (exp x) (exp (neg x))) y) (* 2 (* x z)) (* (sqrt (cosh x)) (sqrt (/ y (* x z)))) (* (sqrt (cosh x)) (sqrt (/ y (* x z)))) (* (cosh x) (* (cbrt (/ y (* x z))) (cbrt (/ y (* x z))))) (* (cosh x) (sqrt (/ y (* x z)))) (* (cosh x) (/ (* (cbrt y) (cbrt y)) x)) (* (cosh x) (/ (sqrt y) x)) (* (cosh x) (/ 1 x)) (* (cosh x) 1) (* (cosh x) y) (* (cbrt (cosh x)) (/ y (* x z))) (* (sqrt (cosh x)) (/ y (* x z))) (* (cosh x) (/ y (* x z))) (* (cosh x) y) (* (+ (exp x) (exp (neg x))) (/ y (* x z))) (+ (exp x) (exp (neg x))) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (* (* (cosh x) (cosh x)) (cosh x)) (sqrt (cosh x)) (sqrt (cosh x)) (/ y (* x z)) (/ y (* x z)) (/ y (* x z)) (+ (* 1/2 (/ (* x y) z)) (/ y (* x z))) (/ (* (+ (* 1/2 (exp (neg x))) (* 1/2 (exp x))) y) (* z x)) (/ (* (+ (* 1/2 (exp (* -1 x))) (* 1/2 (exp x))) y) (* z x)) (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (* 1/2 (+ (exp (neg x)) (exp x))) (* 1/2 (+ (exp (* -1 x)) (exp x))) 0.982 * * [simplify]: iteration 0 : 279 enodes (cost 330 ) 0.987 * * [simplify]: iteration 1 : 1152 enodes (cost 276 ) 1.012 * * [simplify]: iteration 2 : 5001 enodes (cost 276 ) 1.014 * [simplify]: Simplified to: (log (/ y (* x z))) (log (/ y (* x z))) (log (/ y (* x z))) (exp (/ y (* x z))) (pow (/ y (* x z)) 3) (pow (/ y (* x z)) 3) (* (cbrt (/ y (* x z))) (cbrt (/ y (* x z)))) (cbrt (/ y (* x z))) (pow (/ y (* x z)) 3) (sqrt (/ y (* x z))) (sqrt (/ y (* x z))) (neg y) (neg (* x z)) (/ (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z) (/ (sqrt y) x) (/ (sqrt y) z) (/ 1 x) (/ y z) (/ 1 (* x z)) (/ (* x z) y) (/ y x) (/ (* x z) (cbrt y)) (/ (* x z) (sqrt y)) (/ (* x z) y) (* (cosh x) (/ y (* x z))) (log (* (cosh x) (/ y (* x z)))) (log (* (cosh x) (/ y (* x z)))) (log (* (cosh x) (/ y (* x z)))) (log (* (cosh x) (/ y (* x z)))) (exp (* (cosh x) (/ y (* x z)))) (pow (* (cosh x) (/ y (* x z))) 3) (pow (* (cosh x) (/ y (* x z))) 3) (pow (* (cosh x) (/ y (* x z))) 3) (* (cbrt (* (cosh x) (/ y (* x z)))) (cbrt (* (cosh x) (/ y (* x z))))) (cbrt (* (cosh x) (/ y (* x z)))) (pow (* (cosh x) (/ y (* x z))) 3) (sqrt (* (cosh x) (/ y (* x z)))) (sqrt (* (cosh x) (/ y (* x z)))) (* (+ (exp x) (exp (neg x))) y) (* 2 (* x z)) (* (sqrt (cosh x)) (sqrt (/ y (* x z)))) (* (sqrt (cosh x)) (sqrt (/ y (* x z)))) (* (cosh x) (* (cbrt (/ y (* x z))) (cbrt (/ y (* x z))))) (* (cosh x) (sqrt (/ y (* x z)))) (* (cosh x) (/ (* (cbrt y) (cbrt y)) x)) (* (cosh x) (/ (sqrt y) x)) (/ (cosh x) x) (cosh x) (* (cosh x) y) (* (cbrt (cosh x)) (/ y (* x z))) (* (sqrt (cosh x)) (/ y (* x z))) (* (cosh x) (/ y (* x z))) (* (cosh x) y) (* (+ (exp x) (exp (neg x))) (/ y (* x z))) (+ (exp (* -1 x)) (exp x)) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (pow (cosh x) 3) (sqrt (cosh x)) (sqrt (cosh x)) (/ y (* x z)) (/ y (* x z)) (/ y (* x z)) (+ (* 1/2 (/ (* x y) z)) (/ y (* x z))) (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y)) (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y)) (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (* 1/2 (+ (exp (* -1 x)) (exp x))) (* 1/2 (+ (exp (* -1 x)) (exp x))) 1.014 * * * [progress]: adding candidates to table 1.160 * * [progress]: iteration 3 / 4 1.160 * * * [progress]: picking best candidate 1.185 * * * * [pick]: Picked # 1.185 * * * [progress]: localizing error 1.194 * * * [progress]: generating rewritten candidates 1.194 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.204 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.208 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.212 * * * [progress]: generating series expansions 1.212 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.212 * [approximate]: Approximating (/ (* (cosh x) y) (* x z)) in (x y z) around 0 1.220 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 1.220 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.224 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 1.224 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.225 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.231 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 1.231 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.231 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.231 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.240 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 1.240 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.240 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.241 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.241 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.242 * [approximate]: Approximating (/ (* (cosh (/ 1 x)) (* x z)) y) in (x y z) around 0 1.253 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in y 1.254 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 1.260 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in y 1.264 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 1.279 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in y 1.279 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 1.285 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 1.294 * [approximate]: Approximating (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in (x y z) around 0 1.305 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in y 1.306 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in z 1.314 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in y 1.318 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in z 1.329 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in y 1.329 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in z 1.336 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (* z (cosh (/ -1 x)))) y)) in z 1.344 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.344 * [approximate]: Approximating (/ (cosh x) x) in (x) around 0 1.373 * [approximate]: Approximating (* (cosh (/ 1 x)) x) in (x) around 0 1.398 * [approximate]: Approximating (* -1 (* x (cosh (/ -1 x)))) in (x) around 0 1.441 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.441 * [approximate]: Approximating (cosh x) in (x) around 0 1.463 * [approximate]: Approximating (cosh (/ 1 x)) in (x) around 0 1.479 * [approximate]: Approximating (cosh (/ -1 x)) in (x) around 0 1.495 * * * [progress]: simplifying candidates 1.496 * [simplify]: Simplifying using # : (* (/ (cosh x) x) (/ y z)) (+ (- (log (cosh x)) (log x)) (- (log y) (log z))) (+ (- (log (cosh x)) (log x)) (log (/ y z))) (+ (log (/ (cosh x) x)) (- (log y) (log z))) (+ (log (/ (cosh x) x)) (log (/ y z))) (log (* (/ (cosh x) x) (/ y z))) (exp (* (/ (cosh x) x) (/ y z))) (* (/ (* (* (cosh x) (cosh x)) (cosh x)) (* (* x x) x)) (/ (* (* y y) y) (* (* z z) z))) (* (/ (* (* (cosh x) (cosh x)) (cosh x)) (* (* x x) x)) (* (* (/ y z) (/ y z)) (/ y z))) (* (* (* (/ (cosh x) x) (/ (cosh x) x)) (/ (cosh x) x)) (/ (* (* y y) y) (* (* z z) z))) (* (* (* (/ (cosh x) x) (/ (cosh x) x)) (/ (cosh x) x)) (* (* (/ y z) (/ y z)) (/ y z))) (* (cbrt (* (/ (cosh x) x) (/ y z))) (cbrt (* (/ (cosh x) x) (/ y z)))) (cbrt (* (/ (cosh x) x) (/ y z))) (* (* (* (/ (cosh x) x) (/ y z)) (* (/ (cosh x) x) (/ y z))) (* (/ (cosh x) x) (/ y z))) (sqrt (* (/ (cosh x) x) (/ y z))) (sqrt (* (/ (cosh x) x) (/ y z))) (* (cosh x) y) (* x z) (* (sqrt (/ (cosh x) x)) (sqrt (/ y z))) (* (sqrt (/ (cosh x) x)) (sqrt (/ y z))) (* (sqrt (/ (cosh x) x)) (/ (sqrt y) (sqrt z))) (* (sqrt (/ (cosh x) x)) (/ (sqrt y) (sqrt z))) (* (/ (sqrt (cosh x)) (sqrt x)) (sqrt (/ y z))) (* (/ (sqrt (cosh x)) (sqrt x)) (sqrt (/ y z))) (* (/ (sqrt (cosh x)) (sqrt x)) (/ (sqrt y) (sqrt z))) (* (/ (sqrt (cosh x)) (sqrt x)) (/ (sqrt y) (sqrt z))) (* (/ (cosh x) x) (* (cbrt (/ y z)) (cbrt (/ y z)))) (* (/ (cosh x) x) (sqrt (/ y z))) (* (/ (cosh x) x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))) (* (/ (cosh x) x) (/ (* (cbrt y) (cbrt y)) (sqrt z))) (* (/ (cosh x) x) (/ (* (cbrt y) (cbrt y)) 1)) (* (/ (cosh x) x) (/ (sqrt y) (* (cbrt z) (cbrt z)))) (* (/ (cosh x) x) (/ (sqrt y) (sqrt z))) (* (/ (cosh x) x) (/ (sqrt y) 1)) (* (/ (cosh x) x) (/ 1 (* (cbrt z) (cbrt z)))) (* (/ (cosh x) x) (/ 1 (sqrt z))) (* (/ (cosh x) x) (/ 1 1)) (* (/ (cosh x) x) 1) (* (/ (cosh x) x) y) (* (cbrt (/ (cosh x) x)) (/ y z)) (* (sqrt (/ (cosh x) x)) (/ y z)) (* (/ (cbrt (cosh x)) (cbrt x)) (/ y z)) (* (/ (cbrt (cosh x)) (sqrt x)) (/ y z)) (* (/ (cbrt (cosh x)) x) (/ y z)) (* (/ (sqrt (cosh x)) (cbrt x)) (/ y z)) (* (/ (sqrt (cosh x)) (sqrt x)) (/ y z)) (* (/ (sqrt (cosh x)) x) (/ y z)) (* (/ (cosh x) (cbrt x)) (/ y z)) (* (/ (cosh x) (sqrt x)) (/ y z)) (* (/ (cosh x) x) (/ y z)) (* (/ (cosh x) x) (/ y z)) (* (/ 1 x) (/ y z)) (* (/ (cosh x) x) y) (* (cosh x) (/ y z)) (- (log (cosh x)) (log x)) (log (/ (cosh x) x)) (exp (/ (cosh x) x)) (/ (* (* (cosh x) (cosh x)) (cosh x)) (* (* x x) x)) (* (cbrt (/ (cosh x) x)) (cbrt (/ (cosh x) x))) (cbrt (/ (cosh x) x)) (* (* (/ (cosh x) x) (/ (cosh x) x)) (/ (cosh x) x)) (sqrt (/ (cosh x) x)) (sqrt (/ (cosh x) x)) (neg (cosh x)) (neg x) (/ (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt x) (cbrt x))) (/ (cbrt (cosh x)) (cbrt x)) (/ (* (cbrt (cosh x)) (cbrt (cosh x))) (sqrt x)) (/ (cbrt (cosh x)) (sqrt x)) (/ (* (cbrt (cosh x)) (cbrt (cosh x))) 1) (/ (cbrt (cosh x)) x) (/ (sqrt (cosh x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cosh x)) (cbrt x)) (/ (sqrt (cosh x)) (sqrt x)) (/ (sqrt (cosh x)) (sqrt x)) (/ (sqrt (cosh x)) 1) (/ (sqrt (cosh x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cosh x) (cbrt x)) (/ 1 (sqrt x)) (/ (cosh x) (sqrt x)) (/ 1 1) (/ (cosh x) x) (/ 1 x) (/ x (cosh x)) (/ (cosh x) (* (cbrt x) (cbrt x))) (/ (cosh x) (sqrt x)) (/ (cosh x) 1) (/ x (cbrt (cosh x))) (/ x (sqrt (cosh x))) (/ x (cosh x)) (* x 2) (+ (exp x) (exp (neg x))) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (* (* (cosh x) (cosh x)) (cosh x)) (sqrt (cosh x)) (sqrt (cosh x)) (+ (* 1/2 (/ (* x y) z)) (/ y (* x z))) (/ (* (+ (* 1/2 (exp (neg x))) (* 1/2 (exp x))) y) (* z x)) (/ (* (+ (* 1/2 (exp (* -1 x))) (* 1/2 (exp x))) y) (* z x)) (+ (* 1/24 (pow x 3)) (+ (/ 1 x) (* 1/2 x))) (/ (+ (* 1/2 (exp (neg x))) (* 1/2 (exp x))) x) (/ (+ (* 1/2 (exp (* -1 x))) (* 1/2 (exp x))) x) (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (* 1/2 (+ (exp (neg x)) (exp x))) (* 1/2 (+ (exp (* -1 x)) (exp x))) 1.501 * * [simplify]: iteration 0 : 451 enodes (cost 545 ) 1.509 * * [simplify]: iteration 1 : 1891 enodes (cost 487 ) 1.541 * * [simplify]: iteration 2 : 5002 enodes (cost 487 ) 1.544 * [simplify]: Simplified to: (* (/ (cosh x) x) (/ y z)) (log (* (/ (cosh x) x) (/ y z))) (log (* (/ (cosh x) x) (/ y z))) (log (* (/ (cosh x) x) (/ y z))) (log (* (/ (cosh x) x) (/ y z))) (log (* (/ (cosh x) x) (/ y z))) (exp (* (/ (cosh x) x) (/ y z))) (pow (* (/ (cosh x) x) (/ y z)) 3) (pow (* (/ (cosh x) x) (/ y z)) 3) (pow (* (/ (cosh x) x) (/ y z)) 3) (pow (* (/ (cosh x) x) (/ y z)) 3) (* (cbrt (* (/ (cosh x) x) (/ y z))) (cbrt (* (/ (cosh x) x) (/ y z)))) (cbrt (* (/ (cosh x) x) (/ y z))) (pow (* (/ (cosh x) x) (/ y z)) 3) (sqrt (* (/ (cosh x) x) (/ y z))) (sqrt (* (/ (cosh x) x) (/ y z))) (* (cosh x) y) (* x z) (* (sqrt (/ (cosh x) x)) (sqrt (/ y z))) (* (sqrt (/ (cosh x) x)) (sqrt (/ y z))) (* (sqrt (/ (cosh x) x)) (/ (sqrt y) (sqrt z))) (* (sqrt (/ (cosh x) x)) (/ (sqrt y) (sqrt z))) (* (/ (sqrt (cosh x)) (sqrt x)) (sqrt (/ y z))) (* (/ (sqrt (cosh x)) (sqrt x)) (sqrt (/ y z))) (* (/ (sqrt (cosh x)) (sqrt x)) (/ (sqrt y) (sqrt z))) (* (/ (sqrt (cosh x)) (sqrt x)) (/ (sqrt y) (sqrt z))) (* (/ (cosh x) x) (* (cbrt (/ y z)) (cbrt (/ y z)))) (* (/ (cosh x) x) (sqrt (/ y z))) (* (/ (cosh x) x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))) (* (/ (cosh x) x) (/ (* (cbrt y) (cbrt y)) (sqrt z))) (/ (* (cosh x) (* (cbrt y) (cbrt y))) x) (* (/ (cosh x) x) (/ (sqrt y) (* (cbrt z) (cbrt z)))) (* (/ (cosh x) x) (/ (sqrt y) (sqrt z))) (/ (* (cosh x) (sqrt y)) x) (/ (/ (cosh x) x) (* (cbrt z) (cbrt z))) (/ (/ (cosh x) x) (sqrt z)) (/ (cosh x) x) (/ (cosh x) x) (* (/ (cosh x) x) y) (* (cbrt (/ (cosh x) x)) (/ y z)) (* (sqrt (/ (cosh x) x)) (/ y z)) (* (/ (cbrt (cosh x)) (cbrt x)) (/ y z)) (* (/ (cbrt (cosh x)) (sqrt x)) (/ y z)) (* (/ (cbrt (cosh x)) x) (/ y z)) (* (/ (sqrt (cosh x)) (cbrt x)) (/ y z)) (* (/ (sqrt (cosh x)) (sqrt x)) (/ y z)) (* (/ (sqrt (cosh x)) x) (/ y z)) (* (/ (cosh x) (cbrt x)) (/ y z)) (* (/ (cosh x) (sqrt x)) (/ y z)) (* (/ (cosh x) x) (/ y z)) (* (/ (cosh x) x) (/ y z)) (/ y (* x z)) (* (/ (cosh x) x) y) (* (cosh x) (/ y z)) (log (/ (cosh x) x)) (log (/ (cosh x) x)) (exp (/ (cosh x) x)) (pow (/ (cosh x) x) 3) (* (cbrt (/ (cosh x) x)) (cbrt (/ (cosh x) x))) (cbrt (/ (cosh x) x)) (pow (/ (cosh x) x) 3) (sqrt (/ (cosh x) x)) (sqrt (/ (cosh x) x)) (neg (cosh x)) (* -1 x) (/ (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt x) (cbrt x))) (/ (cbrt (cosh x)) (cbrt x)) (/ (* (cbrt (cosh x)) (cbrt (cosh x))) (sqrt x)) (/ (cbrt (cosh x)) (sqrt x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (/ (cbrt (cosh x)) x) (/ (sqrt (cosh x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cosh x)) (cbrt x)) (/ (sqrt (cosh x)) (sqrt x)) (/ (sqrt (cosh x)) (sqrt x)) (sqrt (cosh x)) (/ (sqrt (cosh x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cosh x) (cbrt x)) (/ 1 (sqrt x)) (/ (cosh x) (sqrt x)) 1 (/ (cosh x) x) (/ 1 x) (/ x (cosh x)) (/ (cosh x) (* (cbrt x) (cbrt x))) (/ (cosh x) (sqrt x)) (cosh x) (/ x (cbrt (cosh x))) (/ x (sqrt (cosh x))) (/ x (cosh x)) (* x 2) (+ (exp (* -1 x)) (exp x)) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (pow (cosh x) 3) (sqrt (cosh x)) (sqrt (cosh x)) (+ (* 1/2 (/ (* x y) z)) (/ y (* x z))) (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y)) (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y)) (+ (* 1/24 (pow x 3)) (+ (/ 1 x) (* 1/2 x))) (/ 1/2 (/ x (+ (exp (* -1 x)) (exp x)))) (/ 1/2 (/ x (+ (exp (* -1 x)) (exp x)))) (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (* 1/2 (+ (exp (* -1 x)) (exp x))) (* 1/2 (+ (exp (* -1 x)) (exp x))) 1.545 * * * [progress]: adding candidates to table 1.872 * * [progress]: iteration 4 / 4 1.872 * * * [progress]: picking best candidate 1.894 * * * * [pick]: Picked # 1.894 * * * [progress]: localizing error 1.901 * * * [progress]: generating rewritten candidates 1.901 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.907 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.914 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.917 * * * [progress]: generating series expansions 1.917 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.917 * [approximate]: Approximating (/ (* (cosh x) y) (* x z)) in (x y z) around 0 1.925 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 1.925 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.929 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 1.929 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.929 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.936 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 1.936 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.937 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.937 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.945 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in y 1.945 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.946 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.946 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.946 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) (* x z)) in z 1.947 * [approximate]: Approximating (/ (* (cosh (/ 1 x)) (* x z)) y) in (x y z) around 0 1.961 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in y 1.962 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 1.968 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in y 1.972 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 1.982 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in y 1.982 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 1.989 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) (* x z)) y) in z 1.998 * [approximate]: Approximating (* -1 (/ (* z (* (cosh (/ -1 x)) x)) y)) in (x y z) around 0 2.010 * [taylor]: Taking taylor expansion of (* -1 (/ (* z (* (cosh (/ -1 x)) x)) y)) in y 2.011 * [taylor]: Taking taylor expansion of (* -1 (/ (* z (* (cosh (/ -1 x)) x)) y)) in z 2.019 * [taylor]: Taking taylor expansion of (* -1 (/ (* z (* (cosh (/ -1 x)) x)) y)) in y 2.022 * [taylor]: Taking taylor expansion of (* -1 (/ (* z (* (cosh (/ -1 x)) x)) y)) in z 2.036 * [taylor]: Taking taylor expansion of (* -1 (/ (* z (* (cosh (/ -1 x)) x)) y)) in y 2.036 * [taylor]: Taking taylor expansion of (* -1 (/ (* z (* (cosh (/ -1 x)) x)) y)) in z 2.042 * [taylor]: Taking taylor expansion of (* -1 (/ (* z (* (cosh (/ -1 x)) x)) y)) in z 2.051 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.051 * [approximate]: Approximating (/ (* (cosh x) y) z) in (x y z) around 0 2.058 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in y 2.058 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in z 2.062 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in y 2.062 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in z 2.062 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in z 2.067 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in y 2.067 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in z 2.067 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in z 2.068 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in z 2.075 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in y 2.075 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in z 2.075 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in z 2.075 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in z 2.075 * [taylor]: Taking taylor expansion of (/ (* (cosh x) y) z) in z 2.076 * [approximate]: Approximating (/ (* (cosh (/ 1 x)) z) y) in (x y z) around 0 2.084 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) z) y) in y 2.084 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) z) y) in z 2.089 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) z) y) in y 2.092 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) z) y) in z 2.099 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) z) y) in y 2.099 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) z) y) in z 2.104 * [taylor]: Taking taylor expansion of (/ (* (cosh (/ 1 x)) z) y) in z 2.114 * [approximate]: Approximating (/ (* z (cosh (/ -1 x))) y) in (x y z) around 0 2.121 * [taylor]: Taking taylor expansion of (/ (* z (cosh (/ -1 x))) y) in y 2.121 * [taylor]: Taking taylor expansion of (/ (* z (cosh (/ -1 x))) y) in z 2.125 * [taylor]: Taking taylor expansion of (/ (* z (cosh (/ -1 x))) y) in y 2.128 * [taylor]: Taking taylor expansion of (/ (* z (cosh (/ -1 x))) y) in z 2.134 * [taylor]: Taking taylor expansion of (/ (* z (cosh (/ -1 x))) y) in y 2.135 * [taylor]: Taking taylor expansion of (/ (* z (cosh (/ -1 x))) y) in z 2.140 * [taylor]: Taking taylor expansion of (/ (* z (cosh (/ -1 x))) y) in z 2.145 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 2.145 * [approximate]: Approximating (cosh x) in (x) around 0 2.167 * [approximate]: Approximating (cosh (/ 1 x)) in (x) around 0 2.183 * [approximate]: Approximating (cosh (/ -1 x)) in (x) around 0 2.202 * * * [progress]: simplifying candidates 2.203 * [simplify]: Simplifying using # : (- (+ (log (cosh x)) (- (log y) (log z))) (log x)) (- (+ (log (cosh x)) (log (/ y z))) (log x)) (- (log (* (cosh x) (/ y z))) (log x)) (log (/ (* (cosh x) (/ y z)) x)) (exp (/ (* (cosh x) (/ y z)) x)) (/ (* (* (* (cosh x) (cosh x)) (cosh x)) (/ (* (* y y) y) (* (* z z) z))) (* (* x x) x)) (/ (* (* (* (cosh x) (cosh x)) (cosh x)) (* (* (/ y z) (/ y z)) (/ y z))) (* (* x x) x)) (/ (* (* (* (cosh x) (/ y z)) (* (cosh x) (/ y z))) (* (cosh x) (/ y z))) (* (* x x) x)) (* (cbrt (/ (* (cosh x) (/ y z)) x)) (cbrt (/ (* (cosh x) (/ y z)) x))) (cbrt (/ (* (cosh x) (/ y z)) x)) (* (* (/ (* (cosh x) (/ y z)) x) (/ (* (cosh x) (/ y z)) x)) (/ (* (cosh x) (/ y z)) x)) (sqrt (/ (* (cosh x) (/ y z)) x)) (sqrt (/ (* (cosh x) (/ y z)) x)) (neg (* (cosh x) (/ y z))) (neg x) (/ (cosh x) (* (cbrt x) (cbrt x))) (/ (/ y z) (cbrt x)) (/ (cosh x) (sqrt x)) (/ (/ y z) (sqrt x)) (/ (cosh x) 1) (/ (/ y z) x) (/ 1 x) (/ x (* (cosh x) (/ y z))) (/ (* (cosh x) (/ y z)) (* (cbrt x) (cbrt x))) (/ (* (cosh x) (/ y z)) (sqrt x)) (/ (* (cosh x) (/ y z)) 1) (/ x (/ y z)) (* x (* 2 z)) (* x z) (* x 2) (* (cosh x) (/ y z)) (+ (log (cosh x)) (- (log y) (log z))) (+ (log (cosh x)) (log (/ y z))) (log (* (cosh x) (/ y z))) (exp (* (cosh x) (/ y z))) (* (* (* (cosh x) (cosh x)) (cosh x)) (/ (* (* y y) y) (* (* z z) z))) (* (* (* (cosh x) (cosh x)) (cosh x)) (* (* (/ y z) (/ y z)) (/ y z))) (* (cbrt (* (cosh x) (/ y z))) (cbrt (* (cosh x) (/ y z)))) (cbrt (* (cosh x) (/ y z))) (* (* (* (cosh x) (/ y z)) (* (cosh x) (/ y z))) (* (cosh x) (/ y z))) (sqrt (* (cosh x) (/ y z))) (sqrt (* (cosh x) (/ y z))) (* (+ (exp x) (exp (neg x))) y) (* 2 z) (* (sqrt (cosh x)) (sqrt (/ y z))) (* (sqrt (cosh x)) (sqrt (/ y z))) (* (sqrt (cosh x)) (/ (sqrt y) (sqrt z))) (* (sqrt (cosh x)) (/ (sqrt y) (sqrt z))) (* (cosh x) (* (cbrt (/ y z)) (cbrt (/ y z)))) (* (cosh x) (sqrt (/ y z))) (* (cosh x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))) (* (cosh x) (/ (* (cbrt y) (cbrt y)) (sqrt z))) (* (cosh x) (/ (* (cbrt y) (cbrt y)) 1)) (* (cosh x) (/ (sqrt y) (* (cbrt z) (cbrt z)))) (* (cosh x) (/ (sqrt y) (sqrt z))) (* (cosh x) (/ (sqrt y) 1)) (* (cosh x) (/ 1 (* (cbrt z) (cbrt z)))) (* (cosh x) (/ 1 (sqrt z))) (* (cosh x) (/ 1 1)) (* (cosh x) 1) (* (cosh x) y) (* (cbrt (cosh x)) (/ y z)) (* (sqrt (cosh x)) (/ y z)) (* (cosh x) (/ y z)) (* (cosh x) y) (* (+ (exp x) (exp (neg x))) (/ y z)) (+ (exp x) (exp (neg x))) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (* (* (cosh x) (cosh x)) (cosh x)) (sqrt (cosh x)) (sqrt (cosh x)) (+ (* 1/2 (/ (* x y) z)) (/ y (* x z))) (/ (* (+ (* 1/2 (exp (neg x))) (* 1/2 (exp x))) y) (* z x)) (/ (* (+ (* 1/2 (exp (* -1 x))) (* 1/2 (exp x))) y) (* z x)) (+ (/ y z) (* 1/2 (/ (* (pow x 2) y) z))) (/ (* (+ (* 1/2 (exp (neg x))) (* 1/2 (exp x))) y) z) (/ (* (+ (* 1/2 (exp (* -1 x))) (* 1/2 (exp x))) y) z) (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (* 1/2 (+ (exp (neg x)) (exp x))) (* 1/2 (+ (exp (* -1 x)) (exp x))) 2.208 * * [simplify]: iteration 0 : 368 enodes (cost 416 ) 2.215 * * [simplify]: iteration 1 : 1638 enodes (cost 356 ) 2.246 * * [simplify]: iteration 2 : 5002 enodes (cost 356 ) 2.248 * [simplify]: Simplified to: (log (/ (* (cosh x) (/ y z)) x)) (log (/ (* (cosh x) (/ y z)) x)) (log (/ (* (cosh x) (/ y z)) x)) (log (/ (* (cosh x) (/ y z)) x)) (exp (/ (* (cosh x) (/ y z)) x)) (pow (/ (* (cosh x) (/ y z)) x) 3) (pow (/ (* (cosh x) (/ y z)) x) 3) (pow (/ (* (cosh x) (/ y z)) x) 3) (* (cbrt (/ (* (cosh x) (/ y z)) x)) (cbrt (/ (* (cosh x) (/ y z)) x))) (cbrt (/ (* (cosh x) (/ y z)) x)) (pow (/ (* (cosh x) (/ y z)) x) 3) (sqrt (/ (* (cosh x) (/ y z)) x)) (sqrt (/ (* (cosh x) (/ y z)) x)) (neg (* (cosh x) (/ y z))) (* -1 x) (/ (cosh x) (* (cbrt x) (cbrt x))) (/ (/ y z) (cbrt x)) (/ (cosh x) (sqrt x)) (/ (/ y z) (sqrt x)) (cosh x) (/ y (* x z)) (/ 1 x) (/ x (* (cosh x) (/ y z))) (/ (* (cosh x) (/ y z)) (* (cbrt x) (cbrt x))) (/ (* (cosh x) (/ y z)) (sqrt x)) (* (cosh x) (/ y z)) (/ x (/ y z)) (* x (* 2 z)) (* x z) (* x 2) (* (cosh x) (/ y z)) (log (* (cosh x) (/ y z))) (log (* (cosh x) (/ y z))) (log (* (cosh x) (/ y z))) (exp (* (cosh x) (/ y z))) (pow (* (cosh x) (/ y z)) 3) (pow (* (cosh x) (/ y z)) 3) (* (cbrt (* (cosh x) (/ y z))) (cbrt (* (cosh x) (/ y z)))) (cbrt (* (cosh x) (/ y z))) (pow (* (cosh x) (/ y z)) 3) (sqrt (* (cosh x) (/ y z))) (sqrt (* (cosh x) (/ y z))) (* (+ (exp x) (exp (neg x))) y) (* 2 z) (* (sqrt (cosh x)) (sqrt (/ y z))) (* (sqrt (cosh x)) (sqrt (/ y z))) (* (sqrt (cosh x)) (/ (sqrt y) (sqrt z))) (* (sqrt (cosh x)) (/ (sqrt y) (sqrt z))) (* (cosh x) (* (cbrt (/ y z)) (cbrt (/ y z)))) (* (cosh x) (sqrt (/ y z))) (* (cosh x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))) (* (cosh x) (/ (* (cbrt y) (cbrt y)) (sqrt z))) (* (* (cbrt y) (cbrt y)) (cosh x)) (* (cosh x) (/ (sqrt y) (* (cbrt z) (cbrt z)))) (* (cosh x) (/ (sqrt y) (sqrt z))) (* (sqrt y) (cosh x)) (/ (cosh x) (* (cbrt z) (cbrt z))) (/ (cosh x) (sqrt z)) (cosh x) (cosh x) (* (cosh x) y) (* (cbrt (cosh x)) (/ y z)) (* (sqrt (cosh x)) (/ y z)) (* (cosh x) (/ y z)) (* (cosh x) y) (* (+ (exp x) (exp (neg x))) (/ y z)) (+ (exp (* -1 x)) (exp x)) (log (cosh x)) (exp (cosh x)) (* (cbrt (cosh x)) (cbrt (cosh x))) (cbrt (cosh x)) (pow (cosh x) 3) (sqrt (cosh x)) (sqrt (cosh x)) (+ (* 1/2 (/ (* x y) z)) (/ y (* x z))) (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y)) (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y)) (+ (/ y z) (* 1/2 (/ (* (pow x 2) y) z))) (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ z y)) (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ z y)) (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (* 1/2 (+ (exp (* -1 x)) (exp x))) (* 1/2 (+ (exp (* -1 x)) (exp x))) 2.249 * * * [progress]: adding candidates to table 2.488 * [progress]: [Phase 3 of 3] Extracting. 2.488 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.489 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 2.489 * * * * [regimes]: Trying to branch on z from (# # # # # # #) 2.564 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.638 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.718 * * * [regime]: Found split indices: #