34.426 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.070 * * * [progress]: [2/2] Setting up program. 0.073 * [progress]: [Phase 2 of 3] Improving. 0.073 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) 0.075 * * [simplify]: iteration 0 : 15 enodes (cost 9 ) 0.076 * * [simplify]: iteration 1 : 24 enodes (cost 9 ) 0.077 * * [simplify]: iteration 2 : 32 enodes (cost 9 ) 0.078 * * [simplify]: iteration 3 : 44 enodes (cost 9 ) 0.080 * * [simplify]: iteration 4 : 59 enodes (cost 9 ) 0.081 * * [simplify]: iteration 5 : 174 enodes (cost 9 ) 0.086 * * [simplify]: iteration 6 : 1153 enodes (cost 9 ) 0.117 * * [simplify]: iteration 7 : 5001 enodes (cost 9 ) 0.118 * [simplify]: Simplified to: (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) 0.118 * * [progress]: iteration 1 / 4 0.118 * * * [progress]: picking best candidate 0.125 * * * * [pick]: Picked # 0.125 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.133 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.138 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.148 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.155 * * * [progress]: generating series expansions 0.155 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.155 * [approximate]: Approximating (- (exp x) (exp (neg x))) in (x) around 0 0.188 * [approximate]: Approximating (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in (x) around 0 0.194 * [approximate]: Approximating (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 0.200 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.200 * [approximate]: Approximating (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) in (x) around 0 0.261 * [approximate]: Approximating (/ (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in (x) around 0 0.276 * [approximate]: Approximating (/ (- (exp (/ -1 x)) (exp (/ 1 x))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.292 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.292 * [approximate]: Approximating (+ (exp (neg x)) (exp x)) in (x) around 0 0.311 * [approximate]: Approximating (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in (x) around 0 0.315 * [approximate]: Approximating (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.319 * * * [progress]: simplifying candidates 0.320 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp (exp (neg x)))) (log (- (exp x) (exp (neg x)))) (exp (- (exp x) (exp (neg x)))) (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (cbrt (- (exp x) (exp (neg x)))) (* (* (- (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (- (pow (exp x) 3) (pow (exp (neg x)) 3)) (+ (* (exp x) (exp x)) (+ (* (exp (neg x)) (exp (neg x))) (* (exp x) (exp (neg x))))) (neg (exp (neg x))) (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))) (- (exp x) (exp (neg x))) (neg (exp (neg x))) (- (log (- (exp x) (exp (neg x)))) (log (+ (exp x) (exp (neg x))))) (log (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (exp (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (/ (* (* (- (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (- (exp x) (exp (neg x)))) (* (* (+ (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))))) (* (cbrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (cbrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))))) (cbrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (* (* (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (sqrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (sqrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (neg (- (exp x) (exp (neg x)))) (neg (+ (exp x) (exp (neg x)))) (/ (exp x) (+ (exp x) (exp (neg x)))) (/ (exp (neg x)) (+ (exp x) (exp (neg x)))) (/ (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (cbrt (- (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (sqrt (+ (exp x) (exp (neg x))))) (/ (cbrt (- (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) 1) (/ (cbrt (- (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x)))) (/ (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) 1) (/ (cbrt (- (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x)))) (/ (sqrt (- (exp x) (exp (neg x)))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (- (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (/ (sqrt (- 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(exp x) (exp (neg x))))) (/ (+ (exp x) (exp (neg x))) (sqrt (- (exp x) (exp (neg x))))) (/ (+ (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (/ (+ (exp x) (exp (neg x))) (- (sqrt (exp x)) (sqrt (exp (neg x))))) (/ (+ (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (pow (exp x) 3) (pow (exp (neg x)) 3))) (/ (- (exp x) (exp (neg x))) (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x))))) (* (+ (exp x) (exp (neg x))) (+ (* (exp x) (exp x)) (+ (* (exp (neg x)) (exp (neg x))) (* (exp x) (exp (neg x)))))) (* (+ (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (exp (exp x)) (exp (exp (neg x)))) (log (+ (exp x) (exp (neg x)))) (exp (+ (exp x) (exp (neg x)))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (cbrt (+ (exp x) (exp (neg x)))) (* (* (+ (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x)))) (+ (pow (exp x) 3) (pow (exp (neg x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (neg x)) (exp (neg x))) (* (exp x) (exp (neg x))))) (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x)))) (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (neg x))) (- (exp x) (exp (* -1 x))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp (neg x)) (exp x)) (+ (exp (* -1 x)) (exp x)) 0.325 * * [simplify]: iteration 0 : 285 enodes (cost 936 ) 0.330 * * [simplify]: iteration 1 : 951 enodes (cost 868 ) 0.350 * * [simplify]: iteration 2 : 4961 enodes (cost 857 ) 0.560 * * [simplify]: iteration 3 : 5001 enodes (cost 857 ) 0.565 * [simplify]: Simplified to: (exp (- (exp x) (exp (neg x)))) (log (- (exp x) (exp (neg x)))) (exp (- (exp x) (exp (neg x)))) (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (cbrt (- 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(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (- (exp (neg x)) (exp x)) (- (/ -1 (exp x)) (exp x)) (/ (exp x) (+ (exp (neg x)) (exp x))) (/ 1 (+ 1 (exp (+ x x)))) (/ (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (cbrt (- (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (sqrt (+ (exp x) (exp (neg x))))) (/ (cbrt (- (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (/ (cbrt (- (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x)))) (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (/ (cbrt (- (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x)))) (/ (sqrt (- (exp x) (exp (neg x)))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (- (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg 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(exp (neg x))) (sqrt (- (exp x) (exp (neg x))))) (/ (+ (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (/ (+ (exp x) (exp (neg x))) (- (sqrt (exp x)) (sqrt (exp (neg x))))) (/ (+ (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (pow (exp x) 3) (pow (exp (neg x)) 3))) (/ (- (exp x) (exp (neg x))) (- (/ (exp (+ x x)) 1) (/ (pow (exp x) -2) 1))) (* (+ (+ 1 (exp (+ x x))) (pow (exp -1) (* 2 x))) (+ (exp (* -1 x)) (exp x))) (+ (pow (exp x) -2) (+ 1 (+ 1 (exp (+ x x))))) (exp (+ (exp x) (exp (neg x)))) (log (+ (exp (* -1 x)) (exp x))) (exp (+ (exp x) (exp (neg x)))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (cbrt (+ (exp x) (exp (neg x)))) (pow (+ (exp (* -1 x)) (exp x)) 3) (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x)))) (+ (pow (exp x) 3) (pow (exp (neg x)) 3)) (+ (+ (exp (+ x x)) -1) (pow (exp x) -2)) (- (/ (exp (+ x x)) 1) (/ (pow (exp x) -2) 1)) (- (exp x) (exp (neg x))) (+ (exp (* -1 x)) (exp x)) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (neg x))) (- (exp x) (exp (neg x))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) 0.565 * * * [progress]: adding candidates to table 0.790 * * [progress]: iteration 2 / 4 0.790 * * * [progress]: picking best candidate 0.793 * * * * [pick]: Picked # 0.793 * * * [progress]: localizing error 0.795 * * * [progress]: generating rewritten candidates 0.795 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.796 * * * [progress]: generating series expansions 0.796 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.796 * [approximate]: Approximating (tanh x) in (x) around 0 0.854 * [approximate]: Approximating (tanh (/ 1 x)) in (x) around 0 0.873 * [approximate]: Approximating (tanh (/ -1 x)) in (x) around 0 0.887 * * * [progress]: simplifying candidates 0.887 * [simplify]: Simplifying using # : (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))) (log (tanh x)) (exp (tanh x)) (* (cbrt (tanh x)) (cbrt (tanh x))) (cbrt (tanh x)) (* (* (tanh x) (tanh x)) (tanh x)) (sqrt (tanh x)) (sqrt (tanh x)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) 0.890 * * [simplify]: iteration 0 : 92 enodes (cost 48 ) 0.892 * * [simplify]: iteration 1 : 206 enodes (cost 45 ) 0.895 * * [simplify]: iteration 2 : 619 enodes (cost 45 ) 0.907 * * [simplify]: iteration 3 : 3203 enodes (cost 45 ) 0.965 * * [simplify]: iteration 4 : 5002 enodes (cost 45 ) 0.966 * [simplify]: Simplified to: (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)) (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))) (log (tanh x)) (exp (tanh x)) (* (cbrt (tanh x)) (cbrt (tanh x))) (cbrt (tanh x)) (pow (tanh x) 3) (sqrt (tanh x)) (sqrt (tanh x)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (tanh x) (tanh x) 0.966 * * * [progress]: adding candidates to table 0.987 * [progress]: [Phase 3 of 3] Extracting. 0.990 * [simplify]: Simplifying using # : (tanh x) 0.990 * * [simplify]: iteration 0 : 2 enodes (cost 1 ) 0.990 * [simplify]: Simplified to: (tanh x)