7.404 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.066 * * * [progress]: [2/2] Setting up program. 0.068 * [progress]: [Phase 2 of 3] Improving. 0.068 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (- x))) 2.0) 0.071 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.072 * * [simplify]: iteration 1 : 23 enodes (cost 5 ) 0.073 * * [simplify]: iteration 2 : 31 enodes (cost 5 ) 0.075 * * [simplify]: iteration 3 : 36 enodes (cost 5 ) 0.076 * * [simplify]: iteration 4 : 41 enodes (cost 5 ) 0.078 * * [simplify]: iteration 5 : 65 enodes (cost 5 ) 0.079 * * [simplify]: iteration 6 : 103 enodes (cost 5 ) 0.082 * * [simplify]: iteration 7 : 250 enodes (cost 5 ) 0.090 * * [simplify]: iteration 8 : 1252 enodes (cost 5 ) 0.285 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.285 * [simplify]: Simplified to: (/ (- (exp x) (exp (- x))) 2.0) 0.285 * * [progress]: iteration 1 / 4 0.285 * * * [progress]: picking best candidate 0.287 * * * * [pick]: Picked # 0.287 * * * [progress]: localizing error 0.293 * * * [progress]: generating rewritten candidates 0.293 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.299 * * * [progress]: generating series expansions 0.299 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.299 * [approximate]: Taking taylor expansion of (- (exp x) (exp (- x))) in (x) around 0 0.299 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 0.299 * [taylor]: Taking taylor expansion of (exp x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.300 * [taylor]: Taking taylor expansion of (- x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 0.300 * [taylor]: Taking taylor expansion of (exp x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.300 * [taylor]: Taking taylor expansion of (- x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.324 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.324 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.325 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.325 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.328 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.328 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.328 * [taylor]: Taking taylor expansion of -1 in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.329 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.329 * [taylor]: Taking taylor expansion of -1 in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.333 * * * [progress]: simplifying candidates 0.333 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp (exp (- x)))) (log (- (exp x) (exp (- x)))) (exp (- (exp x) (exp (- x)))) (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (cbrt (- (exp x) (exp (- x)))) (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (- (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (+ (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (exp (- x))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))) (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))) (- (exp x) (exp (- x))) (- (exp (- x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (- x))) (- (exp x) (exp (* -1 x))) 0.336 * * [simplify]: iteration 0 : 100 enodes (cost 120 ) 0.338 * * [simplify]: iteration 1 : 257 enodes (cost 108 ) 0.342 * * [simplify]: iteration 2 : 763 enodes (cost 107 ) 0.361 * * [simplify]: iteration 3 : 4896 enodes (cost 105 ) 0.886 * * [simplify]: iteration 4 : 5001 enodes (cost 105 ) 0.891 * [simplify]: Simplified to: (exp (- (exp x) (exp (- x)))) (log (- (exp x) (exp (- x)))) (exp (- (exp x) (exp (- x)))) (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (cbrt (- (exp x) (exp (- x)))) (pow (- (exp x) (exp (* -1 x))) 3) (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (- (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (+ 1 (exp (+ x x))) (pow (exp x) -2)) (- (exp (* -1 x))) (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (- x))) (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))) (- (exp x) (exp (* -1 x))) (- (exp (* -1 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (* -1 x))) (- (exp x) (exp (* -1 x))) 0.891 * * * [progress]: adding candidates to table 0.932 * * [progress]: iteration 2 / 4 0.932 * * * [progress]: picking best candidate 0.937 * * * * [pick]: Picked # 0.937 * * * [progress]: localizing error 0.949 * * * [progress]: generating rewritten candidates 0.949 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.958 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.963 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.966 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.977 * * * [progress]: generating series expansions 0.977 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.977 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 0.977 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.977 * [taylor]: Taking taylor expansion of 1/3 in x 0.977 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.977 * [taylor]: Taking taylor expansion of 1/3 in x 0.977 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.988 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 0.988 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.988 * [taylor]: Taking taylor expansion of 1/3 in x 0.988 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.989 * [taylor]: Taking taylor expansion of 1/3 in x 0.989 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.999 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 0.999 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.999 * [taylor]: Taking taylor expansion of -1/3 in x 0.999 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 1.000 * [taylor]: Taking taylor expansion of -1/3 in x 1.000 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.010 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.011 * [approximate]: Taking taylor expansion of (* 1/60 (pow x 5)) in (x) around 0 1.011 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 1.011 * [taylor]: Taking taylor expansion of 1/60 in x 1.011 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 1.011 * [taylor]: Taking taylor expansion of 1/60 in x 1.011 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.025 * [approximate]: Taking taylor expansion of (/ 1/60 (pow x 5)) in (x) around 0 1.025 * [taylor]: Taking taylor expansion of (/ 1/60 (pow x 5)) in x 1.025 * [taylor]: Taking taylor expansion of 1/60 in x 1.025 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (/ 1/60 (pow x 5)) in x 1.026 * [taylor]: Taking taylor expansion of 1/60 in x 1.026 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.044 * [approximate]: Taking taylor expansion of (/ -1/60 (pow x 5)) in (x) around 0 1.044 * [taylor]: Taking taylor expansion of (/ -1/60 (pow x 5)) in x 1.044 * [taylor]: Taking taylor expansion of -1/60 in x 1.044 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of (/ -1/60 (pow x 5)) in x 1.045 * [taylor]: Taking taylor expansion of -1/60 in x 1.045 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.059 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.059 * [approximate]: Taking taylor expansion of (+ (* 2 x) (* 1/60 (pow x 5))) in (x) around 0 1.059 * [taylor]: Taking taylor expansion of (+ (* 2 x) (* 1/60 (pow x 5))) in x 1.059 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.059 * [taylor]: Taking taylor expansion of 2 in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 1.059 * [taylor]: Taking taylor expansion of 1/60 in x 1.059 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (+ (* 2 x) (* 1/60 (pow x 5))) in x 1.059 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.059 * [taylor]: Taking taylor expansion of 2 in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 1.059 * [taylor]: Taking taylor expansion of 1/60 in x 1.059 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.085 * [approximate]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 2 (/ 1 x))) in (x) around 0 1.085 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 2 (/ 1 x))) in x 1.085 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 1.085 * [taylor]: Taking taylor expansion of 1/60 in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.085 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.086 * [taylor]: Taking taylor expansion of 2 in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 2 (/ 1 x))) in x 1.086 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 1.086 * [taylor]: Taking taylor expansion of 1/60 in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.086 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.087 * [taylor]: Taking taylor expansion of 2 in x 1.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.134 * [approximate]: Taking taylor expansion of (- (+ (* 1/60 (/ 1 (pow x 5))) (* 2 (/ 1 x)))) in (x) around 0 1.134 * [taylor]: Taking taylor expansion of (- (+ (* 1/60 (/ 1 (pow x 5))) (* 2 (/ 1 x)))) in x 1.134 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 2 (/ 1 x))) in x 1.134 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 1.134 * [taylor]: Taking taylor expansion of 1/60 in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.134 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.135 * [taylor]: Taking taylor expansion of 2 in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (- (+ (* 1/60 (/ 1 (pow x 5))) (* 2 (/ 1 x)))) in x 1.135 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 2 (/ 1 x))) in x 1.135 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 1.135 * [taylor]: Taking taylor expansion of 1/60 in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.135 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.136 * [taylor]: Taking taylor expansion of 2 in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.355 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.355 * [approximate]: Taking taylor expansion of (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) in (x) around 0 1.355 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) in x 1.355 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.355 * [taylor]: Taking taylor expansion of 1/3 in x 1.355 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (+ (* 1/60 (pow x 5)) (* 2 x)) in x 1.355 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 1.355 * [taylor]: Taking taylor expansion of 1/60 in x 1.355 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.355 * [taylor]: Taking taylor expansion of 2 in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) in x 1.355 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.355 * [taylor]: Taking taylor expansion of 1/3 in x 1.355 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (+ (* 1/60 (pow x 5)) (* 2 x)) in x 1.355 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 1.355 * [taylor]: Taking taylor expansion of 1/60 in x 1.355 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.355 * [taylor]: Taking taylor expansion of 2 in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.365 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in (x) around 0 1.365 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 1.365 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.366 * [taylor]: Taking taylor expansion of 2 in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 1.366 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 1.366 * [taylor]: Taking taylor expansion of 1/60 in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.366 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.367 * [taylor]: Taking taylor expansion of 1/3 in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.367 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 1.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.368 * [taylor]: Taking taylor expansion of 2 in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 1.368 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 1.368 * [taylor]: Taking taylor expansion of 1/60 in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.368 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.369 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.369 * [taylor]: Taking taylor expansion of 1/3 in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.369 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.386 * [approximate]: Taking taylor expansion of (- (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))))) in (x) around 0 1.386 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))))) in x 1.386 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 1.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.386 * [taylor]: Taking taylor expansion of 2 in x 1.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 1.386 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 1.386 * [taylor]: Taking taylor expansion of 1/60 in x 1.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.387 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.387 * [taylor]: Taking taylor expansion of 1/3 in x 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.387 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.388 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))))) in x 1.388 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 1.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.388 * [taylor]: Taking taylor expansion of 2 in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.388 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 1.389 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 1.389 * [taylor]: Taking taylor expansion of 1/60 in x 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.389 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.390 * [taylor]: Taking taylor expansion of 1/3 in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.390 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.408 * * * [progress]: simplifying candidates 1.409 * [simplify]: Simplifying using # : (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (log (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (* (* (* 1/3 1/3) 1/3) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (* (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x (/ 3 2))) (* (sqrt 1/3) (pow x (/ 3 2))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 (* x x)) (* 1/3 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 x) (* 1/3 (sqrt (pow x 3))) (* 1/3 1) (* 1/3 (pow x (/ 3 2))) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (+ (log 1/60) (* (log x) 5)) (+ (log 1/60) (* (log x) 5)) (+ (log 1/60) (log (pow x 5))) (log (* 1/60 (pow x 5))) (exp (* 1/60 (pow x 5))) (* (* (* 1/60 1/60) 1/60) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 1/60 (pow x 5))) (cbrt (* 1/60 (pow x 5)))) (cbrt (* 1/60 (pow x 5))) (* (* (* 1/60 (pow x 5)) (* 1/60 (pow x 5))) (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (pow x (/ 5 2))) (* (sqrt 1/60) (pow x (/ 5 2))) (* 1/60 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/60 (pow (sqrt x) 5)) (* 1/60 (pow 1 5)) (* 1/60 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/60 (sqrt (pow x 5))) (* 1/60 1) (* 1/60 (pow x (/ 5 2))) (* (cbrt 1/60) (pow x 5)) (* (sqrt 1/60) (pow x 5)) (* 1/60 (pow x 5)) (* (exp (* 1/60 (pow x 5))) (exp (* 2 x))) (log (+ (* 1/60 (pow x 5)) (* 2 x))) (exp (+ (* 1/60 (pow x 5)) (* 2 x))) (* (cbrt (+ (* 1/60 (pow x 5)) (* 2 x))) (cbrt (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/60 (pow x 5)) (* 2 x))) (* (* (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (pow (* 1/60 (pow x 5)) 3) (pow (* 2 x) 3)) (+ (* (* 1/60 (pow x 5)) (* 1/60 (pow x 5))) (- (* (* 2 x) (* 2 x)) (* (* 1/60 (pow x 5)) (* 2 x)))) (- (* (* 1/60 (pow x 5)) (* 1/60 (pow x 5))) (* (* 2 x) (* 2 x))) (- (* 1/60 (pow x 5)) (* 2 x)) (* (exp (* 1/3 (pow x 3))) (* (exp (* 1/60 (pow x 5))) (exp (* 2 x)))) (* (exp (* 1/3 (pow x 3))) (exp (+ (* 1/60 (pow x 5)) (* 2 x)))) (log (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (exp (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (* (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (* (* (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sqrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sqrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (+ (pow (* 1/3 (pow x 3)) 3) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3)) (+ (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (- (* (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/60 (pow x 5)) (* 2 x))) (* (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))) (- (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (- (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (+ (* 2 x) (* 1/60 (pow x 5))) (+ (* 2 x) (* 1/60 (pow x 5))) (+ (* 2 x) (* 1/60 (pow x 5))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) 1.414 * * [simplify]: iteration 0 : 354 enodes (cost 458 ) 1.421 * * [simplify]: iteration 1 : 1537 enodes (cost 430 ) 1.455 * * [simplify]: iteration 2 : 5002 enodes (cost 429 ) 1.457 * [simplify]: Simplified to: (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x 3/2)) (* (sqrt 1/3) (pow x 3/2)) (* (* 1/3 x) x) (* 1/3 (pow (sqrt x) 3)) 1/3 (* (* 1/3 x) x) (* (* 1/3 x) x) (* (* 1/3 x) x) (* 1/3 (pow (sqrt x) 3)) 1/3 (* 1/3 x) (* 1/3 (sqrt (pow x 3))) 1/3 (* 1/3 (pow x 3/2)) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (exp (* 1/60 (pow x 5))) (pow (* 1/60 (pow x 5)) 3) (* (cbrt (* 1/60 (pow x 5))) (cbrt (* 1/60 (pow x 5)))) (cbrt (* 1/60 (pow x 5))) (pow (* 1/60 (pow x 5)) 3) (sqrt (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (pow x 5/2)) (* (sqrt 1/60) (pow x 5/2)) (* 1/60 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/60 (pow (sqrt x) 5)) 1/60 (* 1/60 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/60 (sqrt (pow x 5))) 1/60 (* 1/60 (pow x 5/2)) (* (cbrt 1/60) (pow x 5)) (* (sqrt 1/60) (pow x 5)) (* 1/60 (pow x 5)) (exp (+ (* 1/60 (pow x 5)) (* 2 x))) (log (+ (* 1/60 (pow x 5)) (* 2 x))) (exp (+ (* 1/60 (pow x 5)) (* 2 x))) (* (cbrt (+ (* 1/60 (pow x 5)) (* 2 x))) (cbrt (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/60 (pow x 5)) (* 2 x))) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3) (sqrt (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (pow (* 1/60 (pow x 5)) 3) (pow (* 2 x) 3)) (+ (* 4 (* x x)) (- (* (pow x 10) 1/3600) (* x (* (pow x 5) 1/30)))) (+ (- (* 4 (* x x))) (* (pow x 10) 1/3600)) (- (* 1/60 (pow x 5)) (* 2 x)) (exp (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (exp (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (log (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (exp (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (* (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (pow (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 3) (sqrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sqrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (+ (pow (* 1/3 (pow x 3)) 3) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3)) (+ (* (+ (* 1/60 (pow x 5)) (* 2 x)) (- (+ (* 1/60 (pow x 5)) (* 2 x)) (* 1/3 (pow x 3)))) (* 1/9 (* (pow x 3) (pow x 3)))) (+ (- (* (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (* (pow x 6) 1/9)) (- (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 1.458 * * * [progress]: adding candidates to table 1.640 * * [progress]: iteration 3 / 4 1.640 * * * [progress]: picking best candidate 1.643 * * * * [pick]: Picked # 1.643 * * * [progress]: localizing error 1.650 * * * [progress]: generating rewritten candidates 1.650 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.655 * * * [progress]: generating series expansions 1.655 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.655 * [approximate]: Taking taylor expansion of (- (exp x) (exp (* -1 x))) in (x) around 0 1.655 * [taylor]: Taking taylor expansion of (- (exp x) (exp (* -1 x))) in x 1.655 * [taylor]: Taking taylor expansion of (exp x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.655 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 1.655 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.655 * [taylor]: Taking taylor expansion of -1 in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of (- (exp x) (exp (* -1 x))) in x 1.656 * [taylor]: Taking taylor expansion of (exp x) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 1.656 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.656 * [taylor]: Taking taylor expansion of -1 in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.680 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 1.680 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (/ -1 x))) in x 1.680 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.681 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.681 * [taylor]: Taking taylor expansion of -1 in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (/ -1 x))) in x 1.681 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.681 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.681 * [taylor]: Taking taylor expansion of -1 in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.685 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 1.685 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 1.685 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.685 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.685 * [taylor]: Taking taylor expansion of -1 in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 1.685 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.685 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.685 * [taylor]: Taking taylor expansion of -1 in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.686 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.689 * * * [progress]: simplifying candidates 1.689 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp (exp (* -1 x)))) (log (- (exp x) (exp (* -1 x)))) (exp (- (exp x) (exp (* -1 x)))) (* (cbrt (- (exp x) (exp (* -1 x)))) (cbrt (- (exp x) (exp (* -1 x))))) (cbrt (- (exp x) (exp (* -1 x)))) (* (* (- (exp x) (exp (* -1 x))) (- (exp x) (exp (* -1 x)))) (- (exp x) (exp (* -1 x)))) (sqrt (- (exp x) (exp (* -1 x)))) (sqrt (- (exp x) (exp (* -1 x)))) (- (pow (exp x) 3) (pow (exp (* -1 x)) 3)) (+ (* (exp x) (exp x)) (+ (* (exp (* -1 x)) (exp (* -1 x))) (* (exp x) (exp (* -1 x))))) (- (exp (* -1 x))) (- (* (exp x) (exp x)) (* (exp (* -1 x)) (exp (* -1 x)))) (+ (exp x) (exp (* -1 x))) (+ (sqrt (exp x)) (sqrt (exp (* -1 x)))) (- (sqrt (exp x)) (sqrt (exp (* -1 x)))) (- (exp x) (exp (* -1 x))) (- (exp (* -1 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (* -1 x))) (- (exp x) (exp (* -1 x))) 1.692 * * [simplify]: iteration 0 : 94 enodes (cost 120 ) 1.694 * * [simplify]: iteration 1 : 206 enodes (cost 111 ) 1.698 * * [simplify]: iteration 2 : 527 enodes (cost 110 ) 1.708 * * [simplify]: iteration 3 : 1967 enodes (cost 110 ) 1.761 * * [simplify]: iteration 4 : 5001 enodes (cost 110 ) 1.762 * [simplify]: Simplified to: (exp (- (exp x) (exp (* -1 x)))) (log (- (exp x) (exp (* -1 x)))) (exp (- (exp x) (exp (* -1 x)))) (* (cbrt (- (exp x) (exp (* -1 x)))) (cbrt (- (exp x) (exp (* -1 x))))) (cbrt (- (exp x) (exp (* -1 x)))) (pow (- (exp x) (exp (* -1 x))) 3) (sqrt (- (exp x) (exp (* -1 x)))) (sqrt (- (exp x) (exp (* -1 x)))) (- (pow (exp x) 3) (pow (exp (* -1 x)) 3)) (+ (* (exp x) (+ (exp x) (exp (* -1 x)))) (pow (exp x) -2)) (- (exp (* -1 x))) (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))) (+ (sqrt (exp x)) (sqrt (exp (* -1 x)))) (- (sqrt (exp x)) (sqrt (exp (* -1 x)))) (- (exp x) (exp (* -1 x))) (- (exp (* -1 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (* -1 x))) (- (exp x) (exp (* -1 x))) 1.762 * * * [progress]: adding candidates to table 1.786 * * [progress]: iteration 4 / 4 1.786 * * * [progress]: picking best candidate 1.789 * * * * [pick]: Picked # 1.789 * * * [progress]: localizing error 1.807 * * * [progress]: generating rewritten candidates 1.807 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.838 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.933 * * * [progress]: generating series expansions 1.933 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.934 * [approximate]: Taking taylor expansion of (- (exp (* 2 x)) (exp (- (* 2 x)))) in (x) around 0 1.934 * [taylor]: Taking taylor expansion of (- (exp (* 2 x)) (exp (- (* 2 x)))) in x 1.934 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.934 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.934 * [taylor]: Taking taylor expansion of 2 in x 1.934 * [taylor]: Taking taylor expansion of x in x 1.935 * [taylor]: Taking taylor expansion of (exp (- (* 2 x))) in x 1.935 * [taylor]: Taking taylor expansion of (- (* 2 x)) in x 1.935 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.935 * [taylor]: Taking taylor expansion of 2 in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.936 * [taylor]: Taking taylor expansion of (- (exp (* 2 x)) (exp (- (* 2 x)))) in x 1.936 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.936 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.936 * [taylor]: Taking taylor expansion of 2 in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (exp (- (* 2 x))) in x 1.937 * [taylor]: Taking taylor expansion of (- (* 2 x)) in x 1.937 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.937 * [taylor]: Taking taylor expansion of 2 in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.968 * [approximate]: Taking taylor expansion of (- (exp (* 2 (/ 1 x))) (exp (- (* 2 (/ 1 x))))) in (x) around 0 1.968 * [taylor]: Taking taylor expansion of (- (exp (* 2 (/ 1 x))) (exp (- (* 2 (/ 1 x))))) in x 1.968 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.968 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.968 * [taylor]: Taking taylor expansion of 2 in x 1.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.969 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.969 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.969 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.969 * [taylor]: Taking taylor expansion of 2 in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (- (exp (* 2 (/ 1 x))) (exp (- (* 2 (/ 1 x))))) in x 1.970 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.970 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of 2 in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.970 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.970 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of 2 in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.975 * [approximate]: Taking taylor expansion of (- (exp (- (* 2 (/ 1 x)))) (exp (* 2 (/ 1 x)))) in (x) around 0 1.975 * [taylor]: Taking taylor expansion of (- (exp (- (* 2 (/ 1 x)))) (exp (* 2 (/ 1 x)))) in x 1.975 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.975 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.975 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.975 * [taylor]: Taking taylor expansion of 2 in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.975 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.975 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.975 * [taylor]: Taking taylor expansion of 2 in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (- (exp (- (* 2 (/ 1 x)))) (exp (* 2 (/ 1 x)))) in x 1.976 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.976 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.976 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.976 * [taylor]: Taking taylor expansion of 2 in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.977 * [taylor]: Taking taylor expansion of 2 in x 1.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.980 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.981 * [approximate]: Taking taylor expansion of (/ (- (exp (* 2 x)) (exp (- (* 2 x)))) (+ (exp (* -1 x)) (exp x))) in (x) around 0 1.981 * [taylor]: Taking taylor expansion of (/ (- (exp (* 2 x)) (exp (- (* 2 x)))) (+ (exp (* -1 x)) (exp x))) in x 1.981 * [taylor]: Taking taylor expansion of (- (exp (* 2 x)) (exp (- (* 2 x)))) in x 1.981 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.981 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.981 * [taylor]: Taking taylor expansion of 2 in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.981 * [taylor]: Taking taylor expansion of (exp (- (* 2 x))) in x 1.981 * [taylor]: Taking taylor expansion of (- (* 2 x)) in x 1.981 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.982 * [taylor]: Taking taylor expansion of 2 in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.983 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 1.983 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 1.983 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.983 * [taylor]: Taking taylor expansion of -1 in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.983 * [taylor]: Taking taylor expansion of (exp x) in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.986 * [taylor]: Taking taylor expansion of (/ (- (exp (* 2 x)) (exp (- (* 2 x)))) (+ (exp (* -1 x)) (exp x))) in x 1.986 * [taylor]: Taking taylor expansion of (- (exp (* 2 x)) (exp (- (* 2 x)))) in x 1.986 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.986 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.986 * [taylor]: Taking taylor expansion of 2 in x 1.986 * [taylor]: Taking taylor expansion of x in x 1.987 * [taylor]: Taking taylor expansion of (exp (- (* 2 x))) in x 1.987 * [taylor]: Taking taylor expansion of (- (* 2 x)) in x 1.987 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.987 * [taylor]: Taking taylor expansion of 2 in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.988 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 1.988 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 1.988 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.988 * [taylor]: Taking taylor expansion of -1 in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (exp x) in x 1.989 * [taylor]: Taking taylor expansion of x in x 2.035 * [approximate]: Taking taylor expansion of (/ (- (exp (* 2 (/ 1 x))) (exp (- (* 2 (/ 1 x))))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 2.035 * [taylor]: Taking taylor expansion of (/ (- (exp (* 2 (/ 1 x))) (exp (- (* 2 (/ 1 x))))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.035 * [taylor]: Taking taylor expansion of (- (exp (* 2 (/ 1 x))) (exp (- (* 2 (/ 1 x))))) in x 2.035 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 2.035 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.035 * [taylor]: Taking taylor expansion of 2 in x 2.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.036 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 2.036 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 2.036 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.036 * [taylor]: Taking taylor expansion of 2 in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.037 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.037 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.037 * [taylor]: Taking taylor expansion of x in x 2.037 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.037 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.037 * [taylor]: Taking taylor expansion of -1 in x 2.037 * [taylor]: Taking taylor expansion of x in x 2.038 * [taylor]: Taking taylor expansion of (/ (- (exp (* 2 (/ 1 x))) (exp (- (* 2 (/ 1 x))))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.038 * [taylor]: Taking taylor expansion of (- (exp (* 2 (/ 1 x))) (exp (- (* 2 (/ 1 x))))) in x 2.038 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 2.038 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.038 * [taylor]: Taking taylor expansion of 2 in x 2.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.038 * [taylor]: Taking taylor expansion of x in x 2.039 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 2.039 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 2.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.039 * [taylor]: Taking taylor expansion of 2 in x 2.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.039 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.040 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.040 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.040 * [taylor]: Taking taylor expansion of -1 in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.049 * [approximate]: Taking taylor expansion of (/ (- (exp (- (* 2 (/ 1 x)))) (exp (* 2 (/ 1 x)))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 2.049 * [taylor]: Taking taylor expansion of (/ (- (exp (- (* 2 (/ 1 x)))) (exp (* 2 (/ 1 x)))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.049 * [taylor]: Taking taylor expansion of (- (exp (- (* 2 (/ 1 x)))) (exp (* 2 (/ 1 x)))) in x 2.049 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 2.049 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 2.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.049 * [taylor]: Taking taylor expansion of 2 in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 2.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.050 * [taylor]: Taking taylor expansion of 2 in x 2.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.051 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.051 * [taylor]: Taking taylor expansion of -1 in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.052 * [taylor]: Taking taylor expansion of (/ (- (exp (- (* 2 (/ 1 x)))) (exp (* 2 (/ 1 x)))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.052 * [taylor]: Taking taylor expansion of (- (exp (- (* 2 (/ 1 x)))) (exp (* 2 (/ 1 x)))) in x 2.052 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 2.052 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 2.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.052 * [taylor]: Taking taylor expansion of 2 in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.053 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 2.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.053 * [taylor]: Taking taylor expansion of 2 in x 2.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.054 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.054 * [taylor]: Taking taylor expansion of -1 in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.062 * * * [progress]: simplifying candidates 2.063 * [simplify]: Simplifying using # : (* (exp (exp (+ x x))) (/ 1 (exp (exp (+ (* -1 x) (* -1 x)))))) (* (exp (exp (+ x x))) (exp (- (exp (+ (* -1 x) (* -1 x)))))) (log (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))) (exp (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))) (* (cbrt (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))) (cbrt (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))))) (cbrt (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))) (* (* (+ 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(exp (* 2 x)) (exp (- (* 2 x)))) (+ (exp (* -1 x)) (exp x))) (/ (- (exp (* 2 x)) (exp (* -2 x))) (+ (exp (* -1 x)) (exp x))) 2.070 * * [simplify]: iteration 0 : 291 enodes (cost 1128 ) 2.075 * * [simplify]: iteration 1 : 1112 enodes (cost 956 ) 2.099 * * [simplify]: iteration 2 : 5001 enodes (cost 918 ) 2.102 * [simplify]: Simplified to: (exp (- (exp (* 2 x)) (exp (* -2 x)))) (exp (- (exp (* 2 x)) (exp (* -2 x)))) (log (- (exp (* 2 x)) (exp (* -2 x)))) (exp (- (exp (* 2 x)) (exp (* -2 x)))) (* (cbrt (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))) (cbrt (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))))) (cbrt (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))) (pow (- (exp (* 2 x)) (exp (* -2 x))) 3) (sqrt (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))) (sqrt (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))) (- (pow (exp (+ x x)) 3) (/ 1 (pow (exp (+ x x)) 3))) (+ (+ (pow (exp x) 4) 1) (pow (exp x) -4)) (- (/ (pow (exp x) 4) 1) (/ (pow (exp -2) (+ x x)) 1)) (+ (exp (* -2 x)) (exp 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(exp (* 2 x)) (exp (* -2 x))) (- (exp (* 2 x)) (exp (* -2 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (/ (- (exp (* 2 x)) (exp (* -2 x))) (+ (exp (* -1 x)) (exp x))) (/ (- (exp (* 2 x)) (exp (* -2 x))) (+ (exp (* -1 x)) (exp x))) 2.103 * * * [progress]: adding candidates to table 2.244 * [progress]: [Phase 3 of 3] Extracting. 2.244 * * [regime]: Finding splitpoints for: (# # #) 2.244 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.244 * * * * [regimes]: Trying to branch on x from (# # #) 2.260 * * * [regime]: Found split indices: #