15.801 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) 0.035 * * [simplify]: iteration 0 : 54 enodes (cost 8 ) 0.036 * * [simplify]: iteration 1 : 141 enodes (cost 8 ) 0.039 * * [simplify]: iteration 2 : 325 enodes (cost 8 ) 0.043 * * [simplify]: iteration 3 : 979 enodes (cost 8 ) 0.059 * * [simplify]: iteration 4 : 3700 enodes (cost 8 ) 0.108 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.109 * [simplify]: Simplified to: (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) 0.109 * * [progress]: iteration 1 / 4 0.109 * * * [progress]: picking best candidate 0.114 * * * * [pick]: Picked # 0.114 * * * [progress]: localizing error 0.125 * * * [progress]: generating rewritten candidates 0.125 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.140 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 0.142 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.145 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.154 * * * [progress]: generating series expansions 0.154 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.154 * [approximate]: Approximating (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in (y z t x) around 0 0.165 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in z 0.165 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 0.165 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 0.170 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in z 0.177 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 0.177 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 0.177 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 0.182 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in z 0.182 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 0.182 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 0.183 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 0.186 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 0.189 * [approximate]: Approximating (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in (y z t x) around 0 0.205 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 0.205 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 0.206 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 0.219 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 0.220 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 0.220 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 0.221 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 0.235 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 0.237 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 0.245 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 0.252 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 0.252 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 0.252 * [approximate]: Approximating (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in (y z t x) around 0 0.268 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 0.268 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 0.269 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 0.278 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 0.279 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 0.279 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 0.281 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 0.297 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 0.299 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 0.307 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 0.314 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 0.314 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 0.314 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 0.314 * [approximate]: Approximating (tanh (/ x y)) in (x y) around 0 0.318 * [taylor]: Taking taylor expansion of (tanh (/ x y)) in y 0.322 * [taylor]: Taking taylor expansion of (tanh (/ x y)) in y 0.328 * [taylor]: Taking taylor expansion of (tanh (/ x y)) in y 0.336 * [approximate]: Approximating (tanh (/ y x)) in (x y) around 0 0.339 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 0.342 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 0.347 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 0.354 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 0.367 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 0.367 * [approximate]: Approximating (tanh (/ y x)) in (x y) around 0 0.370 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 0.376 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 0.380 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 0.388 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 0.400 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 0.401 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.401 * [approximate]: Approximating (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in (x y z t) around 0 0.412 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in y 0.420 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in y 0.420 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in z 0.420 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in t 0.421 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in z 0.436 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in y 0.436 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in z 0.436 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in t 0.437 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in z 0.437 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in t 0.441 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in z 0.441 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in t 0.442 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in t 0.442 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in t 0.465 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in y 0.469 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in z 0.469 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in t 0.469 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in z 0.469 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in t 0.470 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in z 0.470 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in t 0.476 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in z 0.476 * [taylor]: Taking taylor expansion of (- (+ (* (tanh (/ t y)) (* z y)) x) (* (tanh (/ x y)) (* z y))) in t 0.476 * [approximate]: Approximating (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in (x y z t) around 0 0.489 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in y 0.489 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in z 0.491 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in y 0.512 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in z 0.513 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in t 0.514 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in z 0.514 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in t 0.522 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in y 0.522 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in z 0.551 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in z 0.551 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in z 0.552 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in t 0.553 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in t 0.553 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in t 0.566 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in y 0.566 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in z 0.566 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in z 0.605 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in z 0.609 * [taylor]: Taking taylor expansion of (- (+ (/ (tanh (/ y t)) (* z y)) (/ 1 x)) (/ (tanh (/ y x)) (* y z))) in t 0.618 * [approximate]: Approximating (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in (x y z t) around 0 0.633 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in y 0.633 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in z 0.635 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in y 0.656 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in z 0.657 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in t 0.658 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in z 0.658 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in t 0.666 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in y 0.667 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in z 0.696 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in z 0.696 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in z 0.697 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in t 0.698 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in t 0.698 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in t 0.710 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in y 0.711 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in z 0.711 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in z 0.751 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in z 0.753 * [taylor]: Taking taylor expansion of (- (/ (tanh (/ y t)) (* z y)) (+ (/ (tanh (/ y x)) (* y z)) (/ 1 x))) in t 0.761 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 0.761 * [approximate]: Approximating (- (tanh (/ t y)) (tanh (/ x y))) in (t y x) around 0 0.774 * [taylor]: Taking taylor expansion of (- (tanh (/ t y)) (tanh (/ x y))) in y 0.775 * [taylor]: Taking taylor expansion of (- (tanh (/ t y)) (tanh (/ x y))) in x 0.782 * [taylor]: Taking taylor expansion of (- (tanh (/ t y)) (tanh (/ x y))) in y 0.783 * [taylor]: Taking taylor expansion of (- (tanh (/ t y)) (tanh (/ x y))) in x 0.785 * [taylor]: Taking taylor expansion of (- (tanh (/ t y)) (tanh (/ x y))) in x 0.798 * [taylor]: Taking taylor expansion of (- (tanh (/ t y)) (tanh (/ x y))) in y 0.798 * [taylor]: Taking taylor expansion of (- (tanh (/ t y)) (tanh (/ x y))) in x 0.799 * [taylor]: Taking taylor expansion of (- (tanh (/ t y)) (tanh (/ x y))) in x 0.801 * [taylor]: Taking taylor expansion of (- (tanh (/ t y)) (tanh (/ x y))) in x 0.809 * [approximate]: Approximating (- (tanh (/ y t)) (tanh (/ y x))) in (t y x) around 0 0.817 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in y 0.824 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.832 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in y 0.833 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.848 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.861 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in y 0.861 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.861 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.886 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.907 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in y 0.907 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.907 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.907 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.907 * [approximate]: Approximating (- (tanh (/ y t)) (tanh (/ y x))) in (t y x) around 0 0.916 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in y 0.923 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.934 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in y 0.934 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.949 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.959 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in y 0.959 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.959 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 0.984 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 1.004 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in y 1.004 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 1.005 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 1.005 * [taylor]: Taking taylor expansion of (- (tanh (/ y t)) (tanh (/ y x))) in x 1.006 * * * [progress]: simplifying candidates 1.010 * [simplify]: Simplifying using # : (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (+ (+ (log y) (log z)) (log (- (tanh (/ t y)) (tanh (/ x y))))) (+ (log (* y z)) (log (- (tanh (/ t y)) (tanh (/ x y))))) (log (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (exp (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* (* (* y y) y) (* (* z z) z)) (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* (* (* y z) (* y z)) (* y z)) (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (sqrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (sqrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))) (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))) (* (tanh (/ t y)) (* y z)) (* (neg (tanh (/ x y))) (* y z)) (* (tanh (/ t y)) (* y z)) (* (neg (tanh (/ x y))) (* y z)) (* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* y z) (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) 1) (* (* y z) (+ (sqrt (tanh (/ t y))) (sqrt (tanh (/ x y))))) (* (* y z) 1) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (* (* y z) (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y))))))) (* (* y z) (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (* 2 (/ x y))) 1)))) (* (* y z) (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- 1 (exp (* -2 (/ x y))))))) (* (* y z) (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (/ x y)) (exp (neg (/ x y))))))) (* (* y z) (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (* 2 (/ x y))) 1)))) (* (* y z) (- (* (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- 1 (exp (* -2 (/ x y))))))) (* (* y z) (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y))))))) (* (* y z) (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (* 2 (/ x y))) 1)))) (* (* y z) (- (* (- 1 (exp (* -2 (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- 1 (exp (* -2 (/ x y))))))) (* (* y z) (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3))) (* (* y z) (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (- (exp (/ x y)) (exp (neg (/ x y)))) (+ (exp (/ x y)) (exp (neg (/ x y)))) (- (exp (* 2 (/ x y))) 1) (+ (exp (* 2 (/ x y))) 1) (- 1 (exp (* -2 (/ x y)))) (+ 1 (exp (* -2 (/ x y)))) (log (tanh (/ x y))) (exp (tanh (/ x y))) (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y)))) (cbrt (tanh (/ x y))) (* (* (tanh (/ x y)) (tanh (/ x y))) (tanh (/ x y))) (sqrt (tanh (/ x y))) (sqrt (tanh (/ x y))) (* (exp x) (exp (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (log (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (exp (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (* (cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))) (cbrt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ x (* 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(tanh (/ x y)) 3)) (+ (* (tanh (/ t y)) (tanh (/ t y))) (+ (* (tanh (/ x y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ x y))))) (neg (tanh (/ x y))) (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))) (+ (tanh (/ t y)) (tanh (/ x y))) (+ (sqrt (tanh (/ t y))) (sqrt (tanh (/ x y)))) (- (sqrt (tanh (/ t y))) (sqrt (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (neg (tanh (/ x y))) 0 0 0 0 (- (/ x y) (* 1/3 (/ (pow x 3) (pow y 3)))) (- (/ x y) (* 1/3 (/ (pow x 3) (pow y 3)))) (- x (* x z)) (- (+ x (* 1/3 (/ (* (pow x 3) z) (pow y 2)))) (* x z)) (- (+ x (* 1/3 (/ (* (pow x 3) z) (pow y 2)))) (* x z)) (* -1 (/ x y)) (- (/ t y) (* 1/3 (/ (pow t 3) (pow y 3)))) (- (/ t y) (* 1/3 (/ (pow t 3) (pow y 3)))) 1.017 * * [simplify]: iteration 0 : 592 enodes (cost 1136 ) 1.029 * * [simplify]: iteration 1 : 2728 enodes (cost 1079 ) 1.075 * * [simplify]: iteration 2 : 5001 enodes (cost 1079 ) 1.080 * [simplify]: Simplified to: (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* 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(exp (* -2 (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- 1 (exp (* -2 (/ x y)))))) (* (+ 1 (exp (* -2 (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (+ (* (tanh (/ x y)) (+ (tanh (/ x y)) (tanh (/ t y)))) (* (tanh (/ t y)) (tanh (/ t y)))) (neg (tanh (/ x y))) (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))) (+ (tanh (/ t y)) (tanh (/ x y))) (+ (sqrt (tanh (/ t y))) (sqrt (tanh (/ x y)))) (- (sqrt (tanh (/ t y))) (sqrt (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (neg (tanh (/ x y))) 0 0 0 0 (- (/ x y) (* 1/3 (/ (pow x 3) (pow y 3)))) (- (/ x y) (* 1/3 (/ (pow x 3) (pow y 3)))) (- x (* x z)) (- (+ x (* 1/3 (/ (* (pow x 3) z) (pow y 2)))) (* x z)) (- (+ x (* 1/3 (/ (* (pow x 3) z) (pow y 2)))) (* x z)) (* -1 (/ x y)) (- (/ t y) (* 1/3 (/ (pow t 3) (pow y 3)))) (- (/ t y) (* 1/3 (/ (pow t 3) (pow y 3)))) 1.081 * * * [progress]: adding candidates to table 1.595 * * [progress]: iteration 2 / 4 1.595 * * * [progress]: picking best candidate 1.624 * * * * [pick]: Picked # 1.624 * * * [progress]: localizing error 1.635 * * * [progress]: generating rewritten candidates 1.635 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.647 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.656 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 2) 1.658 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 1.663 * * * [progress]: generating series expansions 1.663 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.663 * [approximate]: Approximating (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in (y z t x) around 0 1.677 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in z 1.677 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 1.677 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 1.682 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in z 1.688 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 1.689 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 1.689 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 1.693 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in z 1.694 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 1.694 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 1.695 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 1.699 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 1.702 * [approximate]: Approximating (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in (y z t x) around 0 1.718 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 1.718 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 1.719 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 1.727 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 1.729 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 1.729 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 1.730 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 1.744 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 1.746 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 1.757 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 1.764 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 1.764 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 1.765 * [approximate]: Approximating (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in (y z t x) around 0 1.781 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 1.781 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 1.782 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 1.790 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 1.792 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 1.792 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 1.793 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 1.807 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 1.809 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 1.817 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 1.824 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 1.824 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 1.824 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.824 * [approximate]: Approximating (* (- (tanh (/ t y)) (tanh (/ x y))) z) in (z t y x) around 0 1.835 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in t 1.835 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in y 1.835 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in x 1.849 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in t 1.852 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in y 1.853 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in x 1.856 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in y 1.856 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in x 1.856 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in x 1.871 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in t 1.871 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in y 1.871 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in x 1.871 * [approximate]: Approximating (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in (z t y x) around 0 1.886 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in t 1.889 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in y 1.896 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in x 1.909 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in t 1.909 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in y 1.909 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in x 1.922 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in y 1.922 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in x 1.937 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in x 1.955 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in t 1.955 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in y 1.955 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in x 1.955 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in y 1.955 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in x 1.955 * [approximate]: Approximating (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in (z t y x) around 0 1.970 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in t 1.974 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in y 1.983 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in x 2.000 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in t 2.000 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in y 2.000 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in x 2.010 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in y 2.010 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in x 2.026 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in x 2.044 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in t 2.044 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in y 2.044 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in x 2.044 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in y 2.044 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in x 2.044 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 2) 2.044 * [approximate]: Approximating (tanh (/ x y)) in (x y) around 0 2.048 * [taylor]: Taking taylor expansion of (tanh (/ x y)) in y 2.052 * [taylor]: Taking taylor expansion of (tanh (/ x y)) in y 2.059 * [taylor]: Taking taylor expansion of (tanh (/ x y)) in y 2.067 * [approximate]: Approximating (tanh (/ y x)) in (x y) around 0 2.070 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 2.073 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 2.080 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 2.088 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 2.100 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 2.100 * [approximate]: Approximating (tanh (/ y x)) in (x y) around 0 2.103 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 2.106 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 2.111 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 2.120 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 2.132 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 2.132 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 2.133 * [approximate]: Approximating (tanh (/ t y)) in (t y) around 0 2.136 * [taylor]: Taking taylor expansion of (tanh (/ t y)) in y 2.140 * [taylor]: Taking taylor expansion of (tanh (/ t y)) in y 2.147 * [taylor]: Taking taylor expansion of (tanh (/ t y)) in y 2.157 * [approximate]: Approximating (tanh (/ y t)) in (t y) around 0 2.160 * [taylor]: Taking taylor expansion of (tanh (/ y t)) in y 2.163 * [taylor]: Taking taylor expansion of (tanh (/ y t)) in y 2.169 * [taylor]: Taking taylor expansion of (tanh (/ y t)) in y 2.176 * [taylor]: Taking taylor expansion of (tanh (/ y t)) in y 2.189 * [taylor]: Taking taylor expansion of (tanh (/ y t)) in y 2.190 * [approximate]: Approximating (tanh (/ y t)) in (t y) around 0 2.193 * [taylor]: Taking taylor expansion of (tanh (/ y t)) in y 2.196 * [taylor]: Taking taylor expansion of (tanh (/ y t)) in y 2.200 * [taylor]: Taking taylor expansion of (tanh (/ y t)) in y 2.208 * [taylor]: Taking taylor expansion of (tanh (/ y t)) in y 2.220 * [taylor]: Taking taylor expansion of (tanh (/ y t)) in y 2.221 * * * [progress]: simplifying candidates 2.222 * [simplify]: Simplifying using # : (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))) (+ (log y) (+ (log z) (log (- (tanh (/ t y)) (tanh (/ x y)))))) (+ (log y) (log (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (log (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (exp (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (* y y) y) (* (* (* z z) z) (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (* y y) y) (* (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (sqrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (sqrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* y (* z (tanh (/ t y)))) (* y (* z (neg (tanh (/ x y))))) (* y (* z (tanh (/ t y)))) (* y (* z (neg (tanh (/ x y))))) (* y (* (tanh (/ t y)) z)) (* y (* (neg (tanh (/ x y))) z)) (* y (* (tanh (/ t y)) z)) (* y (* (neg (tanh (/ x y))) z)) (* (* z (tanh (/ t y))) y) (* (* z (neg (tanh (/ x y)))) y) (* (* z (tanh (/ t y))) y) (* (* z (neg (tanh (/ x y)))) y) (* (* (tanh (/ t y)) z) y) (* (* (neg (tanh (/ x y))) z) y) (* (* (tanh (/ t y)) z) y) (* (* (neg (tanh (/ x y))) z) y) (* y z) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (sqrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* y (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y)))))))) (* y (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (* 2 (/ x y))) 1))))) (* y (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- 1 (exp (* -2 (/ x y)))))))) (* y (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (/ x y)) (exp (neg (/ x y)))))))) (* y (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (* 2 (/ x y))) 1))))) (* y (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- 1 (exp (* -2 (/ x y)))))))) (* y (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y)))))))) (* y (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (* 2 (/ x y))) 1))))) (* y (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- 1 (exp (* -2 (/ x y)))))))) (* y (* z (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)))) (* y (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (+ (log z) (log (- (tanh (/ t y)) (tanh (/ x y))))) (log (* z (- (tanh (/ t y)) (tanh (/ x y))))) (exp (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (* (* z z) z) (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (sqrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (sqrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (sqrt z) (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) (* (sqrt z) (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) (* z (tanh (/ t y))) (* z (neg (tanh (/ x y)))) (* z (tanh (/ t y))) (* z (neg (tanh (/ x y)))) (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z) (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z) (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (* z (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) (* z 1) (* z (+ (sqrt (tanh (/ t y))) (sqrt (tanh (/ x y))))) (* z 1) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (sqrt z) (- (tanh (/ t y)) (tanh (/ x y)))) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y))))))) (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (* 2 (/ x y))) 1)))) (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- 1 (exp (* -2 (/ x y))))))) (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (/ x y)) (exp (neg (/ x y))))))) (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (* 2 (/ x y))) 1)))) (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- 1 (exp (* -2 (/ x y))))))) (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y))))))) (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (* 2 (/ x y))) 1)))) (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- 1 (exp (* -2 (/ x y))))))) (* z (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3))) (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (- (exp (/ x y)) (exp (neg (/ x y)))) (+ (exp (/ x y)) (exp (neg (/ x y)))) (- (exp (* 2 (/ x y))) 1) (+ (exp (* 2 (/ x y))) 1) (- 1 (exp (* -2 (/ x y)))) (+ 1 (exp (* -2 (/ x y)))) (log (tanh (/ x y))) (exp (tanh (/ x y))) (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y)))) (cbrt (tanh (/ x y))) (* (* (tanh (/ x y)) (tanh (/ x y))) (tanh (/ x y))) (sqrt (tanh (/ x y))) (sqrt (tanh (/ x y))) (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (* 2 (/ t y))) 1) (+ (exp (* 2 (/ t y))) 1) (- 1 (exp (* -2 (/ t y)))) (+ 1 (exp (* -2 (/ t y)))) (log (tanh (/ t y))) (exp (tanh (/ t y))) (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y))) (* (* (tanh (/ t y)) (tanh (/ t y))) (tanh (/ t y))) (sqrt (tanh (/ t y))) (sqrt (tanh (/ t y))) 0 0 0 0 (/ (* t z) y) (/ (* t z) y) 0 (- (/ x y) (* 1/3 (/ (pow x 3) (pow y 3)))) (- (/ x y) (* 1/3 (/ (pow x 3) (pow y 3)))) 0 (- (/ t y) (* 1/3 (/ (pow t 3) (pow y 3)))) (- (/ t y) (* 1/3 (/ (pow t 3) (pow y 3)))) 2.229 * * [simplify]: iteration 0 : 470 enodes (cost 1039 ) 2.238 * * [simplify]: iteration 1 : 2128 enodes (cost 970 ) 2.274 * * [simplify]: iteration 2 : 5003 enodes (cost 970 ) 2.279 * [simplify]: Simplified to: (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))) (log (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (log (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (log (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (exp (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (pow (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))) 3) (pow (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))) 3) (* (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (pow (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))) 3) (sqrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (sqrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* y (* (tanh (/ t y)) z)) (* y (* (neg (tanh (/ x y))) z)) (* y (* (tanh (/ t y)) z)) (* y (* (neg (tanh (/ x y))) z)) (* y (* (tanh (/ t y)) z)) (* y (* (neg (tanh (/ x y))) z)) (* y (* (tanh (/ t y)) z)) (* y (* (neg (tanh (/ x y))) z)) (* y (* (tanh (/ t y)) z)) (* y (* (neg (tanh (/ x y))) z)) (* y (* (tanh (/ t y)) z)) (* y (* (neg (tanh (/ x y))) z)) (* y (* (tanh (/ t y)) z)) (* y (* (neg (tanh (/ x y))) z)) (* y (* (tanh (/ t y)) z)) (* y (* (neg (tanh (/ x y))) z)) (* y z) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (sqrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* y (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y)))))))) (* y (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (* 2 (/ x y))) 1))))) (* y (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- 1 (exp (* -2 (/ x y)))))))) (* y (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (/ x y)) (exp (neg (/ x y)))))))) (* y (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (* 2 (/ x y))) 1))))) (* y (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- 1 (exp (* -2 (/ x y)))))))) (* y (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y)))))))) (* y (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (* 2 (/ x y))) 1))))) (* y (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- 1 (exp (* -2 (/ x y)))))))) (* y (* z (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)))) (* y (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (log (* z (- (tanh (/ t y)) (tanh (/ x y))))) (log (* z (- (tanh (/ t y)) (tanh (/ x y))))) (exp (* z (- (tanh (/ t y)) (tanh (/ x y))))) (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3) (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (pow (* z (- (tanh (/ t y)) (tanh (/ x y)))) 3) (sqrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (sqrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (sqrt z) (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) (* (sqrt z) (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) (* z (tanh (/ t y))) (* z (neg (tanh (/ x y)))) (* z (tanh (/ t y))) (* z (neg (tanh (/ x y)))) (* z (tanh (/ t y))) (* z (neg (tanh (/ x y)))) (* z (tanh (/ t y))) (* z (neg (tanh (/ x y)))) (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (* z (sqrt (- (tanh (/ t y)) (tanh (/ x y))))) z (* z (+ (sqrt (tanh (/ t y))) (sqrt (tanh (/ x y))))) z (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (sqrt z) (- (tanh (/ t y)) (tanh (/ x y)))) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y))))))) (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (* 2 (/ x y))) 1)))) (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- 1 (exp (* -2 (/ x y))))))) (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (/ x y)) (exp (neg (/ x y))))))) (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (* 2 (/ x y))) 1)))) (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- 1 (exp (* -2 (/ x y))))))) (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y))))))) (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (* 2 (/ x y))) 1)))) (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- 1 (exp (* -2 (/ x y))))))) (* z (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3))) (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (- (exp (/ x y)) (exp (neg (/ x y)))) (+ (exp (/ x y)) (exp (neg (/ x y)))) (- (exp (* 2 (/ x y))) 1) (+ (exp (* 2 (/ x y))) 1) (- 1 (exp (* -2 (/ x y)))) (+ 1 (exp (* -2 (/ x y)))) (log (tanh (/ x y))) (exp (tanh (/ x y))) (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y)))) (cbrt (tanh (/ x y))) (pow (tanh (/ x y)) 3) (sqrt (tanh (/ x y))) (sqrt (tanh (/ x y))) (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (* 2 (/ t y))) 1) (+ (exp (* 2 (/ t y))) 1) (- 1 (exp (* -2 (/ t y)))) (+ 1 (exp (* -2 (/ t y)))) (log (tanh (/ t y))) (exp (tanh (/ t y))) (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y))) (pow (tanh (/ t y)) 3) (sqrt (tanh (/ t y))) (sqrt (tanh (/ t y))) 0 0 0 0 (/ (* t z) y) (/ (* t z) y) 0 (- (/ x y) (* 1/3 (/ (pow x 3) (pow y 3)))) (- (/ x y) (* 1/3 (/ (pow x 3) (pow y 3)))) 0 (- (/ t y) (* 1/3 (/ (pow t 3) (pow y 3)))) (- (/ t y) (* 1/3 (/ (pow t 3) (pow y 3)))) 2.280 * * * [progress]: adding candidates to table 2.957 * * [progress]: iteration 3 / 4 2.957 * * * [progress]: picking best candidate 2.974 * * * * [pick]: Picked # 2.974 * * * [progress]: localizing error 2.989 * * * [progress]: generating rewritten candidates 2.989 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.012 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 3.021 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 3.033 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 3.041 * * * [progress]: generating series expansions 3.041 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.041 * [approximate]: Approximating (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in (y z t x) around 0 3.051 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in z 3.051 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 3.051 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 3.056 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in z 3.064 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 3.064 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 3.064 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 3.069 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in z 3.069 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 3.069 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 3.071 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 3.074 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 3.077 * [approximate]: Approximating (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in (y z t x) around 0 3.096 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 3.096 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 3.097 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 3.106 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 3.107 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 3.107 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 3.109 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 3.123 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 3.125 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 3.132 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 3.139 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 3.139 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 3.140 * [approximate]: Approximating (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in (y z t x) around 0 3.183 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in z 3.183 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in t 3.184 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in x 3.195 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in z 3.197 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in t 3.197 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in x 3.198 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in x 3.217 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in z 3.219 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in t 3.226 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in x 3.233 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in t 3.233 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (- (tanh (/ y t)) (tanh (/ y x)))) (* z y))) in x 3.233 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 3.233 * [approximate]: Approximating (* (- (tanh (/ t y)) (tanh (/ x y))) z) in (z t y x) around 0 3.243 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in t 3.243 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in y 3.243 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in x 3.258 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in t 3.261 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in y 3.263 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in x 3.265 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in y 3.265 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in x 3.265 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in x 3.280 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in t 3.280 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in y 3.280 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) z) in x 3.280 * [approximate]: Approximating (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in (z t y x) around 0 3.294 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in t 3.297 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in y 3.304 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in x 3.318 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in t 3.318 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in y 3.318 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in x 3.330 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in y 3.330 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in x 3.345 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in x 3.361 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in t 3.361 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in y 3.362 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in x 3.362 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in y 3.362 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) z) in x 3.362 * [approximate]: Approximating (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in (z t y x) around 0 3.377 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in t 3.381 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in y 3.390 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in x 3.406 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in t 3.406 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in y 3.406 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in x 3.416 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in y 3.416 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in x 3.431 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in x 3.450 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in t 3.450 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in y 3.450 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in x 3.450 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in y 3.450 * [taylor]: Taking taylor expansion of (* -1 (/ (- (tanh (/ y t)) (tanh (/ y x))) z)) in x 3.450 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 3.451 * [approximate]: Approximating (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in (y z t x) around 0 3.463 * [taylor]: Taking taylor expansion of (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in z 3.467 * [taylor]: Taking taylor expansion of (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in t 3.467 * [taylor]: Taking taylor expansion of (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in x 3.474 * [taylor]: Taking taylor expansion of (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in z 3.474 * [taylor]: Taking taylor expansion of (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in t 3.474 * [taylor]: Taking taylor expansion of (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in x 3.494 * [taylor]: Taking taylor expansion of (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in t 3.499 * [taylor]: Taking taylor expansion of (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in x 3.502 * [taylor]: Taking taylor expansion of (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in x 3.511 * [taylor]: Taking taylor expansion of (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in z 3.511 * [taylor]: Taking taylor expansion of (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in t 3.511 * [taylor]: Taking taylor expansion of (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) (pow y 1/3)) in x 3.511 * [approximate]: Approximating (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in (y z t x) around 0 3.528 * [taylor]: Taking taylor expansion of (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in z 3.529 * [taylor]: Taking taylor expansion of (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in t 3.532 * [taylor]: Taking taylor expansion of (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in x 3.545 * [taylor]: Taking taylor expansion of (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in z 3.549 * [taylor]: Taking taylor expansion of (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in t 3.549 * [taylor]: Taking taylor expansion of (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in x 3.553 * [taylor]: Taking taylor expansion of (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in x 3.579 * [taylor]: Taking taylor expansion of (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in z 3.581 * [taylor]: Taking taylor expansion of (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in t 3.600 * [taylor]: Taking taylor expansion of (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in x 3.618 * [taylor]: Taking taylor expansion of (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in t 3.619 * [taylor]: Taking taylor expansion of (* (/ (- (tanh (/ y t)) (tanh (/ y x))) z) (pow (/ 1 y) 1/3)) in x 3.619 * [approximate]: Approximating (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in (y z t x) around 0 3.651 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in z 3.654 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in t 3.662 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in x 3.678 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in z 3.684 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in t 3.684 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in x 3.692 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in x 3.725 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in z 3.733 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in t 3.760 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in x 3.783 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in t 3.783 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (cbrt -1) (- (tanh (/ y t)) (tanh (/ y x)))) z) (pow (/ 1 y) 1/3))) in x 3.783 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 3.784 * [approximate]: Approximating (pow y 1/3) in (y) around 0 3.841 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 3.902 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 3.979 * * * [progress]: simplifying candidates 3.981 * [simplify]: Simplifying using # : (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (+ (+ (log (cbrt y)) (log (cbrt y))) (+ (log (cbrt y)) (+ (log z) (log (- (tanh (/ t y)) (tanh (/ x y))))))) (+ (+ (log (cbrt y)) (log (cbrt y))) (+ (log (cbrt y)) (log (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (+ (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (+ (log (* (cbrt y) (cbrt y))) (+ (log (cbrt y)) (+ (log z) (log (- (tanh (/ t y)) (tanh (/ x y))))))) (+ (log (* (cbrt y) (cbrt y))) (+ (log (cbrt y)) (log (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (+ (log (* (cbrt y) (cbrt y))) (log (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (log (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (exp (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (* (* y y) (* y (* (* (* z z) z) (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))))) (* (* y y) (* y (* (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (* (* y y) (* (* (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (* (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* y (* (* (* z z) z) (* (* (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))))))) (* (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* y (* (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (* (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* (* (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (* (cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))) (cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (* (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (sqrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (sqrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) 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(neg (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- 1 (exp (* -2 (/ x y))))))) (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (/ x y)) (exp (neg (/ x y))))))) (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (* 2 (/ x y))) 1)))) (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- 1 (exp (* -2 (/ x y))))))) (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y))))))) (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (* 2 (/ x y))) 1)))) (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- 1 (exp (* -2 (/ x y))))))) (* z (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3))) (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (log (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (log (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (log (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (exp (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (pow (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) 3) (pow (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) 3) (* (cbrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (cbrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (pow (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) 3) (sqrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (sqrt (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (* (cbrt y) (* (tanh (/ t y)) z)) (* (cbrt y) (* (neg (tanh (/ x y))) z)) (* (cbrt y) (* (tanh (/ t y)) z)) (* (cbrt y) (* (neg (tanh (/ x y))) z)) (* (cbrt y) (* (tanh (/ t y)) z)) (* (cbrt y) (* (neg (tanh (/ x y))) z)) (* (cbrt y) (* (tanh (/ t y)) z)) (* (cbrt y) (* (neg (tanh (/ x y))) z)) (* (cbrt y) (* (tanh (/ t y)) z)) (* (cbrt y) (* (neg (tanh (/ x y))) z)) (* (cbrt y) (* (tanh (/ t y)) z)) (* (cbrt y) (* (neg (tanh (/ x y))) z)) (* (cbrt y) (* (tanh (/ t y)) z)) (* (cbrt y) (* (neg (tanh (/ x y))) z)) (* (cbrt y) (* (tanh (/ t y)) z)) (* (cbrt y) (* (neg (tanh (/ x y))) z)) (* (cbrt y) z) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt (sqrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (sqrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))) (* (cbrt y) (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y)))))))) (* (cbrt y) (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- (exp (* 2 (/ x y))) 1))))) (* (cbrt y) (* z (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (- 1 (exp (* -2 (/ x y)))))))) (* (cbrt y) (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (/ x y)) (exp (neg (/ x y)))))))) (* (cbrt y) (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ (exp (* 2 (/ x y))) 1)) (* (+ (exp (* 2 (/ t y))) 1) (- (exp (* 2 (/ x y))) 1))))) (* (cbrt y) (* z (- (* (- (exp (* 2 (/ t y))) 1) (+ 1 (exp (* -2 (/ x y))))) (* (+ (exp (* 2 (/ t y))) 1) (- 1 (exp (* -2 (/ x y)))))))) (* (cbrt y) (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (/ x y)) (exp (neg (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (/ x y)) (exp (neg (/ x y)))))))) (* (cbrt y) (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ (exp (* 2 (/ x y))) 1)) (* (+ 1 (exp (* -2 (/ t y)))) (- (exp (* 2 (/ x y))) 1))))) (* (cbrt y) (* z (- (* (- 1 (exp (* -2 (/ t y)))) (+ 1 (exp (* -2 (/ x y))))) (* (+ 1 (exp (* -2 (/ t y)))) (- 1 (exp (* -2 (/ x y)))))))) (* (cbrt y) (* z (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)))) (* (cbrt y) (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) 0 0 0 0 (/ (* t z) y) (/ (* t z) y) 0 0 0 (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 4.066 * * * [progress]: adding candidates to table 5.188 * * [progress]: iteration 4 / 4 5.188 * * * [progress]: picking best candidate 5.206 * * * * [pick]: Picked # 5.206 * * * [progress]: localizing error 5.219 * * * [progress]: generating rewritten candidates 5.219 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 5.223 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 5.240 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 5.244 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1) 5.249 * * * [progress]: generating series expansions 5.249 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 5.249 * [approximate]: Approximating (tanh (/ x y)) in (x y) around 0 5.253 * [taylor]: Taking taylor expansion of (tanh (/ x y)) in y 5.257 * [taylor]: Taking taylor expansion of (tanh (/ x y)) in y 5.263 * [taylor]: Taking taylor expansion of (tanh (/ x y)) in y 5.271 * [approximate]: Approximating (tanh (/ y x)) in (x y) around 0 5.274 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.277 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.281 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.288 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.300 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.301 * [approximate]: Approximating (tanh (/ y x)) in (x y) around 0 5.304 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.307 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.311 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.322 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.335 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.335 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 5.335 * [approximate]: Approximating (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in (y z t x) around 0 5.345 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in z 5.345 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 5.345 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 5.350 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in z 5.357 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 5.357 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 5.357 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 5.362 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in z 5.362 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 5.362 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 5.364 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in t 5.367 * [taylor]: Taking taylor expansion of (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) in x 5.370 * [approximate]: Approximating (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in (y z t x) around 0 5.385 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 5.386 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 5.387 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 5.397 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 5.399 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 5.399 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 5.400 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 5.414 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 5.416 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 5.423 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 5.430 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 5.430 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 5.430 * [approximate]: Approximating (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in (y z t x) around 0 5.445 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 5.446 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 5.447 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 5.455 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 5.456 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 5.456 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 5.458 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 5.474 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in z 5.476 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 5.483 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 5.490 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in t 5.490 * [taylor]: Taking taylor expansion of (/ (- (tanh (/ y t)) (tanh (/ y x))) (* z y)) in x 5.490 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 5.490 * [approximate]: Approximating (pow (tanh (/ x y)) 3) in (x y) around 0 5.494 * [taylor]: Taking taylor expansion of (pow (tanh (/ x y)) 3) in y 5.503 * [taylor]: Taking taylor expansion of (pow (tanh (/ x y)) 3) in y 5.512 * [taylor]: Taking taylor expansion of (pow (tanh (/ x y)) 3) in y 5.529 * [approximate]: Approximating (pow (tanh (/ y x)) 3) in (x y) around 0 5.533 * [taylor]: Taking taylor expansion of (pow (tanh (/ y x)) 3) in y 5.537 * [taylor]: Taking taylor expansion of (pow (tanh (/ y x)) 3) in y 5.544 * [taylor]: Taking taylor expansion of (pow (tanh (/ y x)) 3) in y 5.559 * [taylor]: Taking taylor expansion of (pow (tanh (/ y x)) 3) in y 5.576 * [taylor]: Taking taylor expansion of (pow (tanh (/ y x)) 3) in y 5.577 * [approximate]: Approximating (pow (tanh (/ y x)) 3) in (x y) around 0 5.580 * [taylor]: Taking taylor expansion of (pow (tanh (/ y x)) 3) in y 5.585 * [taylor]: Taking taylor expansion of (pow (tanh (/ y x)) 3) in y 5.593 * [taylor]: Taking taylor expansion of (pow (tanh (/ y x)) 3) in y 5.605 * [taylor]: Taking taylor expansion of (pow (tanh (/ y x)) 3) in y 5.622 * [taylor]: Taking taylor expansion of (pow (tanh (/ y x)) 3) in y 5.623 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1) 5.623 * [approximate]: Approximating (tanh (/ x y)) in (x y) around 0 5.629 * [taylor]: Taking taylor expansion of (tanh (/ x y)) in y 5.633 * [taylor]: Taking taylor expansion of (tanh (/ x y)) in y 5.639 * [taylor]: Taking taylor expansion of (tanh (/ x y)) in y 5.647 * [approximate]: Approximating (tanh (/ y x)) in (x y) around 0 5.649 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.652 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.657 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.664 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.676 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.677 * [approximate]: Approximating (tanh (/ y x)) in (x y) around 0 5.680 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.682 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.687 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.694 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.708 * [taylor]: Taking taylor expansion of (tanh (/ y x)) in y 5.709 * * * [progress]: simplifying candidates 5.710 * [simplify]: Simplifying using # : (log (cbrt (pow (tanh (/ x y)) 3))) (exp (cbrt (pow (tanh (/ x y)) 3))) (cbrt (pow (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y)))) 3)) (cbrt (pow (cbrt (tanh (/ x y))) 3)) (cbrt (pow (sqrt (tanh (/ x y))) 3)) (cbrt (pow (sqrt (tanh (/ x y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (tanh (/ x y)) 3)) (cbrt (* (tanh (/ x y)) (tanh (/ x y)))) (cbrt 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(+ (sqrt (tanh (/ t y))) (cbrt (pow (sqrt (tanh (/ x y))) 3)))) (* (* y z) (+ (sqrt (tanh (/ t y))) (cbrt (pow (sqrt (tanh (/ x y))) 3)))) (* (* y z) (+ (sqrt (tanh (/ t y))) (cbrt (sqrt (pow (tanh (/ x y)) 3))))) (* (* y z) (+ (sqrt (tanh (/ t y))) (cbrt (pow (tanh (/ x y)) (/ 3 2))))) (* (* y z) (+ (sqrt (tanh (/ t y))) (sqrt (cbrt (pow (tanh (/ x y)) 3))))) (* (* y z) 1) (* z (- (tanh (/ t y)) (cbrt (pow (tanh (/ x y)) 3)))) (* (* y z) (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (cbrt (pow (+ (exp (/ x y)) (exp (neg (/ x y)))) 3))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (cbrt (pow (- (exp (/ x y)) (exp (neg (/ x y)))) 3))))) (* (* y z) (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (cbrt (pow (+ (exp (* 2 (/ x y))) 1) 3))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (cbrt (pow (- (exp (* 2 (/ x y))) 1) 3))))) (* (* y z) (- (* (- (exp (/ t y)) (exp (neg (/ t y)))) (cbrt (pow (+ 1 (exp (* -2 (/ x y)))) 3))) (* (+ (exp (/ t y)) (exp (neg (/ t y)))) (cbrt (pow (- 1 (exp (* -2 (/ x y)))) 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3)))) (- (/ x y) (* 1/3 (/ (pow x 3) (pow y 3)))) 5.717 * * [simplify]: iteration 0 : 519 enodes (cost 956 ) 5.727 * * [simplify]: iteration 1 : 2572 enodes (cost 865 ) 5.770 * * [simplify]: iteration 2 : 5002 enodes (cost 855 ) 5.775 * [simplify]: Simplified to: (log (tanh (/ x y))) (exp (tanh (/ x y))) (cbrt (* (tanh (/ x y)) (tanh (/ x y)))) (cbrt (tanh (/ x y))) (sqrt (tanh (/ x y))) (sqrt (tanh (/ x y))) 1 (tanh (/ x y)) (cbrt (* (tanh (/ x y)) (tanh (/ x y)))) (cbrt (tanh (/ x y))) (cbrt (* (tanh (/ x y)) (tanh (/ x y)))) (cbrt (tanh (/ x y))) (cbrt (* (tanh (/ x y)) (tanh (/ x y)))) (cbrt (tanh (/ x y))) (sqrt (tanh (/ x y))) (sqrt (tanh (/ x y))) 1 (tanh (/ x y)) (cbrt (tanh (/ x y))) (cbrt (* (tanh (/ x y)) (tanh (/ x y)))) (cbrt (sqrt (pow (tanh (/ x y)) 3))) (cbrt (sqrt (pow (tanh (/ x y)) 3))) 1 (tanh (/ x y)) (sqrt (tanh (/ x y))) (sqrt (tanh (/ x y))) (- (exp (/ x y)) (exp (neg (/ x y)))) (+ (exp (/ x y)) (exp (neg (/ x y)))) (- (exp (* 2 (/ x y))) 1) (+ (exp (* 2 (/ x 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(pow x 3) (pow y 3)))) (- (/ x y) (* 1/3 (/ (pow x 3) (pow y 3)))) 5.776 * * * [progress]: adding candidates to table 6.527 * [progress]: [Phase 3 of 3] Extracting. 6.527 * * [regime]: Finding splitpoints for: (# # # # #) 6.528 * * * [regime-changes]: Trying 4 branch expressions: (t z y x) 6.528 * * * * [regimes]: Trying to branch on t from (# # # # #) 6.593 * * * * [regimes]: Trying to branch on z from (# # # # #) 6.660 * * * * [regimes]: Trying to branch on y from (# # # # #) 6.725 * * * * [regimes]: Trying to branch on x from (# # # # #) 6.793 * * * [regime]: Found split indices: #