26.093 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (- (log (+ 1.0 (exp x))) (* x y)) 0.030 * * [simplify]: iteration 0 : 12 enodes (cost 5 ) 0.031 * * [simplify]: iteration 1 : 19 enodes (cost 5 ) 0.033 * * [simplify]: iteration 2 : 23 enodes (cost 5 ) 0.034 * * [simplify]: iteration 3 : 23 enodes (cost 5 ) 0.034 * [simplify]: Simplified to: (- (log (+ 1.0 (exp x))) (* x y)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.050 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.053 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.060 * [approximate]: Taking taylor expansion of (log (+ (exp x) 1.0)) in (x) around 0 0.060 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.061 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (exp x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.062 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (exp x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [approximate]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in (x) around 0 0.078 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.078 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.079 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.079 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [approximate]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in (x) around 0 0.100 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.100 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.100 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.100 * [taylor]: Taking taylor expansion of -1 in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.100 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.100 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.100 * [taylor]: Taking taylor expansion of -1 in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.121 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.121 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.121 * [taylor]: Taking taylor expansion of (exp x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.121 * [taylor]: Taking taylor expansion of (exp x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.130 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.130 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.132 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.132 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.132 * [taylor]: Taking taylor expansion of -1 in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.133 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.133 * [taylor]: Taking taylor expansion of -1 in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.135 * [approximate]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in (x y) around 0 0.135 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 0.135 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in y 0.135 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in y 0.135 * [taylor]: Taking taylor expansion of (exp x) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of 1.0 in y 0.135 * [taylor]: Taking taylor expansion of (* x y) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in x 0.135 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.135 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.135 * [taylor]: Taking taylor expansion of (exp x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (* x y) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in x 0.136 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.136 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.136 * [taylor]: Taking taylor expansion of (exp x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (* x y) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (log 2.0) in y 0.137 * [taylor]: Taking taylor expansion of 2.0 in y 0.142 * [taylor]: Taking taylor expansion of (- 0.5 y) in y 0.142 * [taylor]: Taking taylor expansion of 0.5 in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of (- 0.25 (* 1/2 (/ 1 (pow 2.0 2)))) in y 0.154 * [taylor]: Taking taylor expansion of 0.25 in y 0.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow 2.0 2))) in y 0.154 * [taylor]: Taking taylor expansion of 1/2 in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow 2.0 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow 2.0 2) in y 0.154 * [taylor]: Taking taylor expansion of 2.0 in y 0.156 * [approximate]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 0.156 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 0.156 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in y 0.157 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in y 0.157 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of 1.0 in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.157 * [taylor]: Taking taylor expansion of (* x y) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in x 0.157 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.157 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.157 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.158 * [taylor]: Taking taylor expansion of (* x y) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in x 0.158 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.158 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.158 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.158 * [taylor]: Taking taylor expansion of (* x y) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in y 0.160 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in y 0.160 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [taylor]: Taking taylor expansion of 1.0 in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [approximate]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 0.173 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in y 0.173 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in y 0.173 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.174 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.174 * [taylor]: Taking taylor expansion of -1 in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of 1.0 in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.174 * [taylor]: Taking taylor expansion of (* x y) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in x 0.174 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.174 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.174 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.175 * [taylor]: Taking taylor expansion of (* x y) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in x 0.175 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.175 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.175 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.175 * [taylor]: Taking taylor expansion of -1 in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.176 * [taylor]: Taking taylor expansion of (* x y) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in y 0.177 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in y 0.177 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.178 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.178 * [taylor]: Taking taylor expansion of -1 in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of 1.0 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.190 * * * [progress]: simplifying candidates 0.191 * [simplify]: Simplifying using # : (expm1 (log (+ 1.0 (exp x)))) (log1p (log (+ 1.0 (exp x)))) (log (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x))))) (log (cbrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x)))) (log 1) (log (+ 1.0 (exp x))) (log 1) (log (+ 1.0 (exp x))) (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (- (* 1.0 1.0) (* (exp x) (exp x)))) (log (- 1.0 (exp x))) (log (+ 1.0 (exp x))) (log (log (+ 1.0 (exp x)))) (exp (log (+ 1.0 (exp x)))) (* (cbrt (log (+ 1.0 (exp x)))) (cbrt (log (+ 1.0 (exp x))))) (cbrt (log (+ 1.0 (exp x)))) (* (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (log (+ 1.0 (exp x)))) (sqrt (log (+ 1.0 (exp x)))) (sqrt (log (+ 1.0 (exp x)))) (expm1 (+ 1.0 (exp x))) (log1p (+ 1.0 (exp x))) (* (exp 1.0) (exp (exp x))) (log (+ 1.0 (exp x))) (exp (+ 1.0 (exp x))) (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))) (cbrt (+ 1.0 (exp x))) (* (* (+ 1.0 (exp x)) (+ 1.0 (exp x))) (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (- (* 1.0 1.0) (* (exp x) (exp x))) (- 1.0 (exp x)) (+ 1.0 (exp x)) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (fma (- y) x (* y x)) (fma (* (cbrt (log (+ 1.0 (exp x)))) (cbrt (log (+ 1.0 (exp x))))) (cbrt (log (+ 1.0 (exp x)))) (- (* y x))) (fma (- y) x (* y x)) (fma (sqrt (log (+ 1.0 (exp x)))) (sqrt (log (+ 1.0 (exp x)))) (- (* y x))) (fma (- y) x (* y x)) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (fma (- y) x (* y x)) (expm1 (- (log (+ 1.0 (exp x))) (* x y))) (log1p (- (log (+ 1.0 (exp x))) (* x y))) (- (* x y)) (- (* x y)) (- (* x y)) (- (* x y)) (/ (+ 1.0 (exp x)) (exp (* x y))) (log (- (log (+ 1.0 (exp x))) (* x y))) (exp (- (log (+ 1.0 (exp x))) (* x y))) (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (* (* (- (log (+ 1.0 (exp x))) (* x y)) (- (log (+ 1.0 (exp x))) (* x y))) (- (log (+ 1.0 (exp x))) (* x y))) (sqrt (- (log (+ 1.0 (exp x))) (* x y))) (sqrt (- (log (+ 1.0 (exp x))) (* x y))) (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (+ (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (+ (* (* x y) (* x y)) (* (log (+ 1.0 (exp x))) (* x y)))) (- (* x y)) (- (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (* (* x y) (* x y))) (+ (log (+ 1.0 (exp x))) (* x y)) (- (log (cbrt (+ 1.0 (exp x)))) (* x y)) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)) (- (log (+ 1.0 (exp x))) (* x y)) (- (log (+ 1.0 (exp x))) (* x y)) (+ (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (* x y)) (+ (log (- 1.0 (exp x))) (* x y)) (- (* x y)) (- (+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x))) (* 1/2 (/ (pow x 2) (pow 2.0 2)))) (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0)) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (exp x) 1.0) (+ (exp x) 1.0) (+ (log 2.0) (+ (* 0.125 (pow x 2)) (* 0.5 x))) (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)) 0.196 * * [simplify]: iteration 0 : 236 enodes (cost 404 ) 0.200 * * [simplify]: iteration 1 : 702 enodes (cost 369 ) 0.211 * * [simplify]: iteration 2 : 2284 enodes (cost 367 ) 0.248 * * [simplify]: iteration 3 : 5002 enodes (cost 340 ) 0.250 * [simplify]: Simplified to: (expm1 (log (+ 1.0 (exp x)))) (log1p (log (+ 1.0 (exp x)))) (* 2 (log (cbrt (+ 1.0 (exp x))))) (log (cbrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x)))) 0 (log (+ (exp x) 1.0)) 0 (log (+ (exp x) 1.0)) (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (- (* 1.0 1.0) (* (exp x) (exp x)))) (log (- 1.0 (exp x))) (log (+ (exp x) 1.0)) (log (log (+ 1.0 (exp x)))) (+ 1.0 (exp x)) (* (cbrt (log (+ 1.0 (exp x)))) (cbrt (log (+ 1.0 (exp x))))) (cbrt (log (+ 1.0 (exp x)))) (pow (log (+ 1.0 (exp x))) 3) (sqrt (log (+ 1.0 (exp x)))) (sqrt (log (+ 1.0 (exp x)))) (expm1 (+ 1.0 (exp x))) (log1p (+ 1.0 (exp x))) (exp (+ 1.0 (exp x))) (log (+ (exp x) 1.0)) (exp (+ 1.0 (exp x))) (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))) (cbrt (+ 1.0 (exp x))) (pow (+ 1.0 (exp x)) 3) (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0)) (- (* 1.0 1.0) (* (exp x) (exp x))) (- 1.0 (exp x)) (+ 1.0 (exp x)) (- (log (+ (exp x) 1.0)) (* y x)) 0 (- (log (+ (exp x) 1.0)) (* y x)) 0 (- (log (+ (exp x) 1.0)) (* y x)) 0 (- (log (+ (exp x) 1.0)) (* y x)) 0 (expm1 (- (log (+ 1.0 (exp x))) (* x y))) (log1p (- (log (+ 1.0 (exp x))) (* x y))) (- (* x y)) (- (* x y)) (- (* x y)) (- (* x y)) (/ (+ 1.0 (exp x)) (exp (* x y))) (log (- (log (+ 1.0 (exp x))) (* x y))) (/ (+ 1.0 (exp x)) (exp (* x y))) (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) (sqrt (- (log (+ 1.0 (exp x))) (* x y))) (sqrt (- (log (+ 1.0 (exp x))) (* x y))) (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (fma (log (+ (exp x) 1.0)) (fma x y (log (+ (exp x) 1.0))) (* (* x y) (* x y))) (- (* x y)) (* (- (log (+ (exp x) 1.0)) (* x y)) (fma x y (log (+ (exp x) 1.0)))) (fma x y (log (+ (exp x) 1.0))) (- (log (cbrt (+ 1.0 (exp x)))) (* x y)) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)) (- (log (+ (exp x) 1.0)) (* y x)) (- (log (+ (exp x) 1.0)) (* y x)) (fma x y (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (fma x y (log (- 1.0 (exp x)))) (- (* x y)) (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0)) (fma 1/2 (pow x 2) (+ x 2.0)) (+ 1.0 (exp x)) (+ 1.0 (exp x)) (fma x (+ (* 0.125 x) 0.5) (log 2.0)) (- (log (+ (exp x) 1.0)) (* y x)) (- (log (+ (exp x) 1.0)) (* y x)) 0.250 * * * [progress]: adding candidates to table 0.412 * * [progress]: iteration 2 / 4 0.413 * * * [progress]: picking best candidate 0.417 * * * * [pick]: Picked # 0.418 * * * [progress]: localizing error 0.435 * * * [progress]: generating rewritten candidates 0.435 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 3) 0.454 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 3 1 2) 0.461 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.474 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.480 * * * [progress]: generating series expansions 0.481 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 3) 0.481 * [approximate]: Taking taylor expansion of (log (- (+ (pow (exp x) 2) 1.0) (* 1.0 (exp x)))) in (x) around 0 0.481 * [taylor]: Taking taylor expansion of (log (- (+ (pow (exp x) 2) 1.0) (* 1.0 (exp x)))) in x 0.481 * [taylor]: Taking taylor expansion of (- (+ (pow (exp x) 2) 1.0) (* 1.0 (exp x))) in x 0.481 * [taylor]: Taking taylor expansion of (+ (pow (exp x) 2) 1.0) in x 0.481 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 0.481 * [taylor]: Taking taylor expansion of (exp x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (exp x)) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (exp x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (log (- (+ (pow (exp x) 2) 1.0) (* 1.0 (exp x)))) in x 0.483 * [taylor]: Taking taylor expansion of (- (+ (pow (exp x) 2) 1.0) (* 1.0 (exp x))) in x 0.483 * [taylor]: Taking taylor expansion of (+ (pow (exp x) 2) 1.0) in x 0.483 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 0.483 * [taylor]: Taking taylor expansion of (exp x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of (* 1.0 (exp x)) in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of (exp x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.505 * [approximate]: Taking taylor expansion of (log (- (+ (pow (exp (/ 1 x)) 2) 1.0) (* 1.0 (exp (/ 1 x))))) in (x) around 0 0.505 * [taylor]: Taking taylor expansion of (log (- (+ (pow (exp (/ 1 x)) 2) 1.0) (* 1.0 (exp (/ 1 x))))) in x 0.505 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ 1 x)) 2) 1.0) (* 1.0 (exp (/ 1 x)))) in x 0.505 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 x)) 2) 1.0) in x 0.506 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 0.506 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (exp (/ 1 x))) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (log (- (+ (pow (exp (/ 1 x)) 2) 1.0) (* 1.0 (exp (/ 1 x))))) in x 0.507 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ 1 x)) 2) 1.0) (* 1.0 (exp (/ 1 x)))) in x 0.507 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 x)) 2) 1.0) in x 0.507 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 0.507 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (* 1.0 (exp (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.544 * [approximate]: Taking taylor expansion of (log (- (+ (pow (exp (/ -1 x)) 2) 1.0) (* 1.0 (exp (/ -1 x))))) in (x) around 0 0.544 * [taylor]: Taking taylor expansion of (log (- (+ (pow (exp (/ -1 x)) 2) 1.0) (* 1.0 (exp (/ -1 x))))) in x 0.544 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 x)) 2) 1.0) (* 1.0 (exp (/ -1 x)))) in x 0.544 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 x)) 2) 1.0) in x 0.544 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 0.544 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.544 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.544 * [taylor]: Taking taylor expansion of -1 in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (exp (/ -1 x))) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.544 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.544 * [taylor]: Taking taylor expansion of -1 in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (log (- (+ (pow (exp (/ -1 x)) 2) 1.0) (* 1.0 (exp (/ -1 x))))) in x 0.545 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 x)) 2) 1.0) (* 1.0 (exp (/ -1 x)))) in x 0.545 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 x)) 2) 1.0) in x 0.545 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 0.545 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.545 * [taylor]: Taking taylor expansion of -1 in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (* 1.0 (exp (/ -1 x))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.546 * [taylor]: Taking taylor expansion of -1 in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.587 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 3 1 2) 0.587 * [approximate]: Taking taylor expansion of (- (pow (exp x) 2) (* 1.0 (exp x))) in (x) around 0 0.587 * [taylor]: Taking taylor expansion of (- (pow (exp x) 2) (* 1.0 (exp x))) in x 0.587 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 0.587 * [taylor]: Taking taylor expansion of (exp x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (* 1.0 (exp x)) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (exp x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (- (pow (exp x) 2) (* 1.0 (exp x))) in x 0.587 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 0.587 * [taylor]: Taking taylor expansion of (exp x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (* 1.0 (exp x)) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (exp x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.602 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 x)) 2) (* 1.0 (exp (/ 1 x)))) in (x) around 0 0.602 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 x)) 2) (* 1.0 (exp (/ 1 x)))) in x 0.602 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 0.602 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (* 1.0 (exp (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 x)) 2) (* 1.0 (exp (/ 1 x)))) in x 0.602 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 0.602 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (* 1.0 (exp (/ 1 x))) in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.616 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 x)) 2) (* 1.0 (exp (/ -1 x)))) in (x) around 0 0.616 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 x)) 2) (* 1.0 (exp (/ -1 x)))) in x 0.616 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 0.617 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.617 * [taylor]: Taking taylor expansion of -1 in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (* 1.0 (exp (/ -1 x))) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.617 * [taylor]: Taking taylor expansion of -1 in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 x)) 2) (* 1.0 (exp (/ -1 x)))) in x 0.617 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 0.617 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.617 * [taylor]: Taking taylor expansion of -1 in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (* 1.0 (exp (/ -1 x))) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.618 * [taylor]: Taking taylor expansion of -1 in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.631 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.632 * [approximate]: Taking taylor expansion of (log (+ (pow (exp x) 3) 1.0)) in (x) around 0 0.632 * [taylor]: Taking taylor expansion of (log (+ (pow (exp x) 3) 1.0)) in x 0.632 * [taylor]: Taking taylor expansion of (+ (pow (exp x) 3) 1.0) in x 0.632 * [taylor]: Taking taylor expansion of (pow (exp x) 3) in x 0.632 * [taylor]: Taking taylor expansion of (exp x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.633 * [taylor]: Taking taylor expansion of (log (+ (pow (exp x) 3) 1.0)) in x 0.633 * [taylor]: Taking taylor expansion of (+ (pow (exp x) 3) 1.0) in x 0.633 * [taylor]: Taking taylor expansion of (pow (exp x) 3) in x 0.633 * [taylor]: Taking taylor expansion of (exp x) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [approximate]: Taking taylor expansion of (log (+ (pow (exp (/ 1 x)) 3) 1.0)) in (x) around 0 0.660 * [taylor]: Taking taylor expansion of (log (+ (pow (exp (/ 1 x)) 3) 1.0)) in x 0.660 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 x)) 3) 1.0) in x 0.660 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 3) in x 0.660 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of (log (+ (pow (exp (/ 1 x)) 3) 1.0)) in x 0.661 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 x)) 3) 1.0) in x 0.661 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 3) in x 0.661 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [approximate]: Taking taylor expansion of (log (+ (pow (exp (/ -1 x)) 3) 1.0)) in (x) around 0 0.693 * [taylor]: Taking taylor expansion of (log (+ (pow (exp (/ -1 x)) 3) 1.0)) in x 0.693 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 x)) 3) 1.0) in x 0.693 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 3) in x 0.693 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.693 * [taylor]: Taking taylor expansion of -1 in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (log (+ (pow (exp (/ -1 x)) 3) 1.0)) in x 0.694 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 x)) 3) 1.0) in x 0.694 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 3) in x 0.694 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.694 * [taylor]: Taking taylor expansion of -1 in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.727 * [approximate]: Taking taylor expansion of (pow (exp x) 3) in (x) around 0 0.727 * [taylor]: Taking taylor expansion of (pow (exp x) 3) in x 0.727 * [taylor]: Taking taylor expansion of (exp x) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (pow (exp x) 3) in x 0.727 * [taylor]: Taking taylor expansion of (exp x) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.732 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 x)) 3) in (x) around 0 0.732 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 3) in x 0.732 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 3) in x 0.732 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.748 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 x)) 3) in (x) around 0 0.748 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 3) in x 0.748 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.748 * [taylor]: Taking taylor expansion of -1 in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 3) in x 0.748 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.748 * [taylor]: Taking taylor expansion of -1 in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.758 * * * [progress]: simplifying candidates 0.760 * [simplify]: Simplifying using # : (expm1 (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log1p (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (* (cbrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (cbrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))) (log (cbrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log 1) (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (+ (pow (* 1.0 1.0) 3) (pow (- (* (exp x) (exp x)) (* 1.0 (exp x))) 3))) (log (+ (* (* 1.0 1.0) (* 1.0 1.0)) (- (* (- (* (exp x) (exp x)) (* 1.0 (exp x))) (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (* (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))) (log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* (exp x) (exp x)) (* 1.0 (exp x))) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (- (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (exp (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (* (cbrt (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (cbrt (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))) (cbrt (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (* (* (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (sqrt (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (sqrt (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (fma (exp x) (exp x) (- (* (exp x) 1.0))) (fma (- (exp x)) 1.0 (* (exp x) 1.0)) (expm1 (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (log1p (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (- (* 1.0 (exp x))) (/ (exp (* (exp x) (exp x))) (exp (* 1.0 (exp x)))) (log (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (exp (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (* (cbrt (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (cbrt (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (cbrt (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (* (* (- (* (exp x) (exp x)) (* 1.0 (exp x))) (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (sqrt (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (sqrt (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (- (pow (* (exp x) (exp x)) 3) (pow (* 1.0 (exp x)) 3)) (+ (* (* (exp x) (exp x)) (* (exp x) (exp x))) (+ (* (* 1.0 (exp x)) (* 1.0 (exp x))) (* (* (exp x) (exp x)) (* 1.0 (exp x))))) (- (* 1.0 (exp x))) (- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (* (* 1.0 (exp x)) (* 1.0 (exp x)))) (+ (* (exp x) (exp x)) (* 1.0 (exp x))) (- (exp x) 1.0) (- (* 1.0 (exp x))) (expm1 (log (+ (pow 1.0 3) (pow (exp x) 3)))) (log1p (log (+ (pow 1.0 3) (pow (exp x) 3)))) (log (* (cbrt (+ (pow 1.0 3) (pow (exp x) 3))) (cbrt (+ (pow 1.0 3) (pow (exp x) 3))))) (log (cbrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (+ 1.0 (exp x))) (log 1) (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (pow 1 3)) (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (pow 1 3)) (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (pow 1 3)) (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (pow 1 3)) (log (+ (pow 1.0 3) (pow (exp x) 3))) (log 1) (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (pow (pow 1.0 3) 3) (pow (pow (exp x) 3) 3))) (log (+ (* (pow 1.0 3) (pow 1.0 3)) (- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow 1.0 3) (pow (exp x) 3))))) (log (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (exp x) 3) (pow (exp x) 3)))) (log (- (pow 1.0 3) (pow (exp x) 3))) (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (log (+ (pow 1.0 3) (pow (exp x) 3)))) (exp (log (+ (pow 1.0 3) (pow (exp x) 3)))) (* (cbrt (log (+ (pow 1.0 3) (pow (exp x) 3)))) (cbrt (log (+ (pow 1.0 3) (pow (exp x) 3))))) (cbrt (log (+ (pow 1.0 3) (pow (exp x) 3)))) (* (* (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (pow 1.0 3) (pow (exp x) 3)))) (log (+ (pow 1.0 3) (pow (exp x) 3)))) (sqrt (log (+ (pow 1.0 3) (pow (exp x) 3)))) (sqrt (log (+ (pow 1.0 3) (pow (exp x) 3)))) (expm1 (pow (exp x) 3)) (log1p (pow (exp x) 3)) (* x 3) (* (log (exp x)) 3) (* 1 3) (* (cbrt x) 3) (* (sqrt x) 3) (* x 3) (pow (exp x) (* (cbrt 3) (cbrt 3))) (pow (exp x) (sqrt 3)) (pow (exp x) 1) (pow (* (cbrt (exp x)) (cbrt (exp x))) 3) (pow (cbrt (exp x)) 3) (pow (sqrt (exp x)) 3) (pow (sqrt (exp x)) 3) (pow 1 3) (pow (exp x) 3) (* (exp x) (exp x)) (log (pow (exp x) 3)) (exp (pow (exp x) 3)) (* (cbrt (pow (exp x) 3)) (cbrt (pow (exp x) 3))) (cbrt (pow (exp x) 3)) (* (* (pow (exp x) 3) (pow (exp x) 3)) (pow (exp x) 3)) (pow (* (cbrt (exp x)) (cbrt (exp x))) 3) (pow (cbrt (exp x)) 3) (pow (sqrt (exp x)) 3) (pow (sqrt (exp x)) 3) (pow 1 3) (pow (exp x) 3) (* (exp x) (exp x)) (sqrt (pow (exp x) 3)) (sqrt (pow (exp x) 3)) (pow (exp x) (/ 3 2)) (pow (exp x) (/ 3 2)) (+ (* 1.0 (pow x 2)) (+ (* 1.0 x) (log 1.0))) (log (- (+ (pow (exp x) 2) 1.0) (* 1.0 (exp x)))) (log (- (+ (pow (exp x) 2) 1.0) (* 1.0 (exp x)))) (+ (* 1.5 (pow x 2)) (+ (* 1.1666666666666665 (pow x 3)) (* 1.0 x))) (- (pow (exp x) 2) (* 1.0 (exp x))) (- (pow (exp x) 2) (* 1.0 (exp x))) (- (+ (log 2.0) (+ (* 2.25 (pow x 2)) (* 1.5 x))) (* 9/2 (/ (pow x 2) (pow 2.0 2)))) (log (+ (pow (exp x) 3) 1.0)) (log (+ (pow (exp x) 3) 1.0)) (+ (* 9/2 (pow x 2)) (+ (* 3 x) 1)) (pow (exp x) 3) (pow (exp x) 3) 0.767 * * [simplify]: iteration 0 : 398 enodes (cost 699 ) 0.776 * * [simplify]: iteration 1 : 1683 enodes (cost 631 ) 0.825 * * [simplify]: iteration 2 : 5001 enodes (cost 622 ) 0.829 * [simplify]: Simplified to: (expm1 (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log1p (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (* 2 (log (cbrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))) (log (cbrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) 0 (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (+ (pow (* 1.0 1.0) 3) (pow (- (* (exp x) (exp x)) (* 1.0 (exp x))) 3))) (log (+ (* (* 1.0 1.0) (* 1.0 1.0)) (- (* (- (* (exp x) (exp x)) (* 1.0 (exp x))) (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (* (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))) (log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* (exp x) (exp x)) (* 1.0 (exp x))) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (- (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0)) (* (cbrt (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (cbrt (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))) (cbrt (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (pow (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) 3) (sqrt (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (sqrt (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (* (exp x) (- (exp x) 1.0)) (* (exp x) (+ (- 1.0) 1.0)) (expm1 (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (log1p (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (- (* 1.0 (exp x))) (pow (exp (exp x)) (- (exp x) 1.0)) (fma 1 x (log (- (exp x) 1.0))) (pow (exp (exp x)) (- (exp x) 1.0)) (* (cbrt (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (cbrt (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (cbrt (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (pow (* (exp x) (- (exp x) 1.0)) 3) (sqrt (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (sqrt (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (* (pow (exp x) 3) (- (pow (exp x) 3) (pow 1.0 3))) (fma (* (pow (exp x) 2) 1.0) (+ 1.0 (exp x)) (pow (exp x) 4)) (- (* 1.0 (exp x))) (* (pow (exp x) 2) (- (pow (exp x) 2) (* 1.0 1.0))) (* (exp x) (+ (exp x) 1.0)) (- (exp x) 1.0) (- (* 1.0 (exp x))) (expm1 (log (+ (pow 1.0 3) (pow (exp x) 3)))) (log1p (log (+ (pow 1.0 3) (pow (exp x) 3)))) (* 2 (log (cbrt (+ (pow 1.0 3) (pow (exp x) 3))))) (log (cbrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (+ 1.0 (exp x))) 0 (log (+ (pow 1.0 3) (pow (exp x) 3))) 0 (log (+ (pow 1.0 3) (pow (exp x) 3))) 0 (log (+ (pow 1.0 3) (pow (exp x) 3))) 0 (log (+ (pow 1.0 3) (pow (exp x) 3))) 0 (log (+ (pow 1.0 3) (pow (exp x) 3))) 0 (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (pow (pow 1.0 3) 3) (pow (pow (exp x) 3) 3))) (log (+ (* (pow 1.0 3) (pow 1.0 3)) (- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow 1.0 3) (pow (exp x) 3))))) (log (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (exp x) 3) (pow (exp x) 3)))) (log (- (pow 1.0 3) (pow (exp x) 3))) (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (log (+ (pow 1.0 3) (pow (exp x) 3)))) (+ (pow 1.0 3) (pow (exp x) 3)) (* (cbrt (log (+ (pow 1.0 3) (pow (exp x) 3)))) (cbrt (log (+ (pow 1.0 3) (pow (exp x) 3))))) (cbrt (log (+ (pow 1.0 3) (pow (exp x) 3)))) (pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 3) (sqrt (log (+ (pow 1.0 3) (pow (exp x) 3)))) (sqrt (log (+ (pow 1.0 3) (pow (exp x) 3)))) (expm1 (pow (exp x) 3)) (log1p (pow (exp x) 3)) (* x 3) (* x 3) 3 (* (cbrt x) 3) (* (sqrt x) 3) (* x 3) (pow (exp x) (* (cbrt 3) (cbrt 3))) (pow (exp x) (sqrt 3)) (exp x) (pow (exp x) 2) (exp x) (pow (exp x) 3/2) (pow (exp x) 3/2) 1 (pow (exp x) 3) (pow (exp x) 2) (* x 3) (exp (pow (exp x) 3)) (pow (exp x) 2) (exp x) (pow (pow (exp x) 3) 3) (pow (exp x) 2) (exp x) (pow (exp x) 3/2) (pow (exp x) 3/2) 1 (pow (exp x) 3) (pow (exp x) 2) (sqrt (pow (exp x) 3)) (sqrt (pow (exp x) 3)) (pow (exp x) 3/2) (pow (exp x) 3/2) (fma 1.0 (pow x 2) (fma 1.0 x (log 1.0))) (log (- (+ (pow (exp x) 2) 1.0) (* 1.0 (exp x)))) (log (- (+ (pow (exp x) 2) 1.0) (* 1.0 (exp x)))) (fma 1.5 (pow x 2) (fma 1.1666666666666665 (pow x 3) (* 1.0 x))) (* (exp x) (- (exp x) 1.0)) (* (exp x) (- (exp x) 1.0)) (+ (log 2.0) (- (fma 2.25 (pow x 2) (* 1.5 x)) (* 9/2 (/ (pow x 2) (pow 2.0 2))))) (log (+ (pow (exp x) 3) 1.0)) (log (+ (pow (exp x) 3) 1.0)) (fma 9/2 (pow x 2) (fma 3 x 1)) (pow (exp x) 3) (pow (exp x) 3) 0.829 * * * [progress]: adding candidates to table 1.143 * * [progress]: iteration 3 / 4 1.143 * * * [progress]: picking best candidate 1.145 * * * * [pick]: Picked # 1.145 * * * [progress]: localizing error 1.155 * * * [progress]: generating rewritten candidates 1.155 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.158 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.162 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.181 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.187 * * * [progress]: generating series expansions 1.188 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.188 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in (x) around 0 1.188 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 1.188 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 1.188 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.188 * [taylor]: Taking taylor expansion of (exp x) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.191 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 1.191 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 1.191 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.191 * [taylor]: Taking taylor expansion of (exp x) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.191 * [taylor]: Taking taylor expansion of 1.0 in x 1.240 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in (x) around 0 1.240 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 1.241 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 1.241 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.241 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.241 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 1.241 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 1.241 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.241 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in (x) around 0 1.265 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 1.265 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 1.265 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.265 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.265 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.265 * [taylor]: Taking taylor expansion of -1 in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 1.266 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 1.266 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.266 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.266 * [taylor]: Taking taylor expansion of -1 in x 1.266 * [taylor]: Taking taylor expansion of x in x 1.266 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.294 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in (x) around 0 1.294 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 1.294 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 1.294 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.294 * [taylor]: Taking taylor expansion of (exp x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 1.297 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 1.297 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.297 * [taylor]: Taking taylor expansion of (exp x) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.297 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in (x) around 0 1.342 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 1.342 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 1.342 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.342 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 1.343 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 1.343 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.343 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in (x) around 0 1.366 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 1.366 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 1.366 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.366 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.366 * [taylor]: Taking taylor expansion of -1 in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 1.367 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 1.367 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.367 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.367 * [taylor]: Taking taylor expansion of -1 in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.397 * [approximate]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) in (x y) around 0 1.397 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) in y 1.397 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (exp x) 1.0)))) in y 1.397 * [taylor]: Taking taylor expansion of 2 in y 1.397 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in y 1.397 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in y 1.397 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in y 1.397 * [taylor]: Taking taylor expansion of (exp x) in y 1.397 * [taylor]: Taking taylor expansion of x in y 1.397 * [taylor]: Taking taylor expansion of 1.0 in y 1.398 * [taylor]: Taking taylor expansion of (* x y) in y 1.398 * [taylor]: Taking taylor expansion of x in y 1.398 * [taylor]: Taking taylor expansion of y in y 1.398 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) in x 1.398 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (exp x) 1.0)))) in x 1.398 * [taylor]: Taking taylor expansion of 2 in x 1.398 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 1.398 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 1.398 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.398 * [taylor]: Taking taylor expansion of (exp x) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.398 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [taylor]: Taking taylor expansion of (* x y) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of y in x 1.401 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) in x 1.401 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (exp x) 1.0)))) in x 1.401 * [taylor]: Taking taylor expansion of 2 in x 1.401 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 1.401 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 1.401 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.401 * [taylor]: Taking taylor expansion of (exp x) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.404 * [taylor]: Taking taylor expansion of (* x y) in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.404 * [taylor]: Taking taylor expansion of y in x 1.407 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt 2.0))) in y 1.407 * [taylor]: Taking taylor expansion of 2 in y 1.407 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in y 1.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.407 * [taylor]: Taking taylor expansion of 2.0 in y 1.420 * [taylor]: Taking taylor expansion of (- (/ 1 (pow (sqrt 2.0) 2)) y) in y 1.420 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in y 1.420 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.420 * [taylor]: Taking taylor expansion of 2.0 in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.471 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow (sqrt 2.0) 2))) (* 1/2 (/ 1 (pow (sqrt 2.0) 4)))) in y 1.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sqrt 2.0) 2))) in y 1.472 * [taylor]: Taking taylor expansion of 1/2 in y 1.472 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in y 1.472 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.472 * [taylor]: Taking taylor expansion of 2.0 in y 1.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sqrt 2.0) 4))) in y 1.474 * [taylor]: Taking taylor expansion of 1/2 in y 1.474 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 4)) in y 1.474 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in y 1.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.474 * [taylor]: Taking taylor expansion of 2.0 in y 1.497 * [approximate]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) (/ 1 (* x y))) in (x y) around 0 1.497 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) (/ 1 (* x y))) in y 1.497 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) in y 1.497 * [taylor]: Taking taylor expansion of 2 in y 1.497 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in y 1.497 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in y 1.497 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in y 1.497 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.497 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.497 * [taylor]: Taking taylor expansion of x in y 1.497 * [taylor]: Taking taylor expansion of 1.0 in y 1.498 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.498 * [taylor]: Taking taylor expansion of (* x y) in y 1.498 * [taylor]: Taking taylor expansion of x in y 1.498 * [taylor]: Taking taylor expansion of y in y 1.499 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) (/ 1 (* x y))) in x 1.499 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) in x 1.499 * [taylor]: Taking taylor expansion of 2 in x 1.499 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 1.499 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 1.499 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.499 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.499 * [taylor]: Taking taylor expansion of 1.0 in x 1.500 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.500 * [taylor]: Taking taylor expansion of (* x y) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of y in x 1.500 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) (/ 1 (* x y))) in x 1.500 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) in x 1.500 * [taylor]: Taking taylor expansion of 2 in x 1.500 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 1.500 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 1.500 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.500 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of 1.0 in x 1.501 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.501 * [taylor]: Taking taylor expansion of (* x y) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of y in x 1.502 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.502 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.503 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) in y 1.503 * [taylor]: Taking taylor expansion of 2 in y 1.503 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in y 1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in y 1.503 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in y 1.503 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.503 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.503 * [taylor]: Taking taylor expansion of x in y 1.503 * [taylor]: Taking taylor expansion of 1.0 in y 1.507 * [taylor]: Taking taylor expansion of 0 in y 1.512 * [taylor]: Taking taylor expansion of 0 in y 1.519 * [taylor]: Taking taylor expansion of 0 in y 1.519 * [approximate]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) (/ 1 (* x y))) in (x y) around 0 1.520 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) (/ 1 (* x y))) in y 1.520 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) in y 1.520 * [taylor]: Taking taylor expansion of 2 in y 1.520 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in y 1.520 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in y 1.520 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in y 1.520 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.520 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.520 * [taylor]: Taking taylor expansion of -1 in y 1.520 * [taylor]: Taking taylor expansion of x in y 1.520 * [taylor]: Taking taylor expansion of 1.0 in y 1.521 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.521 * [taylor]: Taking taylor expansion of (* x y) in y 1.521 * [taylor]: Taking taylor expansion of x in y 1.521 * [taylor]: Taking taylor expansion of y in y 1.521 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) (/ 1 (* x y))) in x 1.521 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) in x 1.521 * [taylor]: Taking taylor expansion of 2 in x 1.521 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 1.521 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 1.521 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.521 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.521 * [taylor]: Taking taylor expansion of -1 in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.522 * [taylor]: Taking taylor expansion of 1.0 in x 1.522 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.522 * [taylor]: Taking taylor expansion of (* x y) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.522 * [taylor]: Taking taylor expansion of y in x 1.523 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) (/ 1 (* x y))) in x 1.523 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) in x 1.523 * [taylor]: Taking taylor expansion of 2 in x 1.523 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 1.523 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 1.523 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.523 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.523 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.523 * [taylor]: Taking taylor expansion of -1 in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of 1.0 in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.524 * [taylor]: Taking taylor expansion of (* x y) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of y in x 1.524 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.524 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.524 * [taylor]: Taking taylor expansion of y in y 1.525 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) in y 1.526 * [taylor]: Taking taylor expansion of 2 in y 1.526 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in y 1.526 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in y 1.526 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in y 1.526 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.526 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.526 * [taylor]: Taking taylor expansion of -1 in y 1.526 * [taylor]: Taking taylor expansion of x in y 1.526 * [taylor]: Taking taylor expansion of 1.0 in y 1.530 * [taylor]: Taking taylor expansion of 0 in y 1.534 * [taylor]: Taking taylor expansion of 0 in y 1.541 * [taylor]: Taking taylor expansion of 0 in y 1.542 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.542 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 1.542 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.542 * [taylor]: Taking taylor expansion of (exp x) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of 1.0 in x 1.542 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.542 * [taylor]: Taking taylor expansion of (exp x) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of 1.0 in x 1.551 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 1.551 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.551 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of 1.0 in x 1.551 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.552 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of 1.0 in x 1.554 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 1.554 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.554 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.554 * [taylor]: Taking taylor expansion of -1 in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.554 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.554 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.554 * [taylor]: Taking taylor expansion of -1 in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.556 * * * [progress]: simplifying candidates 1.558 * [simplify]: Simplifying using # : (expm1 (log (sqrt (+ 1.0 (exp x))))) (log1p (log (sqrt (+ 1.0 (exp x))))) (log (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x)))))) (log (cbrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))) (log (sqrt (cbrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt 1)) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt 1)) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log 1) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (sqrt (+ 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (log (sqrt (+ 1.0 (exp x))))) (exp (log (sqrt (+ 1.0 (exp x))))) (* (cbrt (log (sqrt (+ 1.0 (exp x))))) (cbrt (log (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (+ 1.0 (exp x))))) (* (* (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (expm1 (log (sqrt (+ 1.0 (exp x))))) (log1p (log (sqrt (+ 1.0 (exp x))))) (log (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x)))))) (log (cbrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))) (log (sqrt (cbrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt 1)) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt 1)) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log 1) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (sqrt (+ 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (log (sqrt (+ 1.0 (exp x))))) (exp (log (sqrt (+ 1.0 (exp x))))) (* (cbrt (log (sqrt (+ 1.0 (exp x))))) (cbrt (log (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (+ 1.0 (exp x))))) (* (* (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (expm1 (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (log1p (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (* (sqrt (+ 1.0 (exp x))) (/ (sqrt (+ 1.0 (exp x))) (exp (* x y)))) (* (sqrt (+ 1.0 (exp x))) (exp (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (log (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (exp (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (* (cbrt (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (cbrt (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))))) (cbrt (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (* (* (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (sqrt (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (sqrt (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (+ (pow (log (sqrt (+ 1.0 (exp x)))) 3) (pow (- (log (sqrt (+ 1.0 (exp x)))) (* x y)) 3)) (+ (* (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (- (* (- (log (sqrt (+ 1.0 (exp x)))) (* x y)) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (* (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))))) (- (* (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* (- (log (sqrt (+ 1.0 (exp x)))) (* x y)) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (- (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (+ (log (sqrt (+ 1.0 (exp x)))) (fma 1/2 (log (+ 1.0 (exp x))) (- (* y x)))) (+ (log (sqrt (+ 1.0 (exp x)))) (fma 1 (log (sqrt (+ 1.0 (exp x)))) (- (* y x)))) (+ (log (sqrt (+ 1.0 (exp x)))) (fma (/ 1 2) (log (+ 1.0 (exp x))) (- (* y x)))) (+ (log (sqrt (+ 1.0 (exp x)))) (fma (* (cbrt (log (sqrt (+ 1.0 (exp x))))) (cbrt (log (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (+ 1.0 (exp x))))) (- (* y x)))) (+ (log (sqrt (+ 1.0 (exp x)))) (fma (sqrt (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (- (* y x)))) (+ (log (sqrt (+ 1.0 (exp x)))) (fma 1 (log (sqrt (+ 1.0 (exp x)))) (- (* y x)))) (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (+ (log (sqrt (+ 1.0 (exp x)))) (log (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x))))))) (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x))))))) (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (sqrt (+ 1.0 (exp x)))))) (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt 1))) (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt 1))) (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (sqrt (+ 1.0 (exp x)))))) (+ (log (sqrt (+ 1.0 (exp x)))) (log 1)) (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (+ (log (cbrt (sqrt (+ 1.0 (exp x))))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (+ (log (sqrt (cbrt (+ 1.0 (exp x))))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (+ (log (sqrt (sqrt (+ 1.0 (exp x))))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (+ (log (sqrt (sqrt (+ 1.0 (exp x))))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (- (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (- (log (sqrt (- 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))) (expm1 (+ 1.0 (exp x))) (log1p (+ 1.0 (exp x))) (* (exp 1.0) (exp (exp x))) (log (+ 1.0 (exp x))) (exp (+ 1.0 (exp x))) (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))) (cbrt (+ 1.0 (exp x))) (* (* (+ 1.0 (exp x)) (+ 1.0 (exp x))) (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (- (* 1.0 1.0) (* (exp x) (exp x))) (- 1.0 (exp x)) (+ 1.0 (exp x)) (- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 2))) (+ (* 1/2 (/ x (pow (sqrt 2.0) 2))) (log (sqrt 2.0)))) (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 4)))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 2))) (+ (* 1/2 (/ x (pow (sqrt 2.0) 2))) (log (sqrt 2.0)))) (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 4)))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (pow (sqrt 2.0) 2))) (+ (/ x (pow (sqrt 2.0) 2)) (* 2 (log (sqrt 2.0))))) (* 1/2 (/ (pow x 2) (pow (sqrt 2.0) 4)))) (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (exp x) 1.0) (+ (exp x) 1.0) 1.564 * * [simplify]: iteration 0 : 329 enodes (cost 970 ) 1.569 * * [simplify]: iteration 1 : 1019 enodes (cost 872 ) 1.586 * * [simplify]: iteration 2 : 3881 enodes (cost 810 ) 1.667 * * [simplify]: iteration 3 : 5001 enodes (cost 783 ) 1.671 * [simplify]: Simplified to: (expm1 (log (sqrt (+ 1.0 (exp x))))) (log1p (log (sqrt (+ 1.0 (exp x))))) (* 2 (log (cbrt (sqrt (+ 1.0 (exp x)))))) (log (cbrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))) (log (sqrt (cbrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt 1)) (log (sqrt (+ (exp x) 1.0))) (log (sqrt 1)) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) 0 (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (sqrt (+ (exp x) 1.0))) (log (+ 1.0 (exp x))) (log (log (sqrt (+ 1.0 (exp x))))) (sqrt (+ 1.0 (exp x))) (* (cbrt (log (sqrt (+ 1.0 (exp x))))) (cbrt (log (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (+ 1.0 (exp x))))) (pow (log (sqrt (+ 1.0 (exp x)))) 3) (sqrt (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (expm1 (log (sqrt (+ 1.0 (exp x))))) (log1p (log (sqrt (+ 1.0 (exp x))))) (* 2 (log (cbrt (sqrt (+ 1.0 (exp x)))))) (log (cbrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))) (log (sqrt (cbrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt 1)) (log (sqrt (+ (exp x) 1.0))) (log (sqrt 1)) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) 0 (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (sqrt (+ (exp x) 1.0))) (log (+ 1.0 (exp x))) (log (log (sqrt (+ 1.0 (exp x))))) (sqrt (+ 1.0 (exp x))) (* (cbrt (log (sqrt (+ 1.0 (exp x))))) (cbrt (log (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (+ 1.0 (exp x))))) (pow (log (sqrt (+ 1.0 (exp x)))) 3) (sqrt (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (expm1 (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (log1p (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (* (+ 1.0 (exp x)) (exp (- (* y x)))) (* (+ 1.0 (exp x)) (exp (- (* y x)))) (log (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (* (+ 1.0 (exp x)) (exp (- (* y x)))) (* (cbrt (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (cbrt (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y))))) (cbrt (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (pow (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) 3) (sqrt (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (sqrt (+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (+ (pow (log (sqrt (+ 1.0 (exp x)))) 3) (pow (- (log (sqrt (+ 1.0 (exp x)))) (* x y)) 3)) (fma (log (sqrt (+ (exp x) 1.0))) (fma y x 0) (* (- (log (sqrt (+ 1.0 (exp x)))) (* x y)) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))) (* (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) (fma y x 0)) (fma y x 0) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (+ (- (log (sqrt (+ (exp x) 1.0))) (* x y)) (pow (cbrt (log (sqrt (+ 1.0 (exp x))))) 3)) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (log (+ 1.0 (exp x))) (fma 2 (log (cbrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (+ (exp x) 1.0)))) (fma 1/2 (log (+ 1.0 (exp x))) (log (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x))))))) (fma 1/2 (log (+ 1.0 (exp x))) (log (sqrt (sqrt (+ 1.0 (exp x)))))) (fma 1/2 (log (+ 1.0 (exp x))) (log (sqrt 1))) (fma 1/2 (log (+ 1.0 (exp x))) (log (sqrt 1))) (fma 1/2 (log (+ 1.0 (exp x))) (log (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (+ (exp x) 1.0))) (log (+ 1.0 (exp x))) (fma 1/2 (log (+ 1.0 (exp x))) (fma (- y) x (log (cbrt (sqrt (+ 1.0 (exp x))))))) (fma 1/2 (log (+ 1.0 (exp x))) (fma (- y) x (log (sqrt (cbrt (+ 1.0 (exp x))))))) (fma 1/2 (log (+ 1.0 (exp x))) (fma (- y) x (log (sqrt (sqrt (+ 1.0 (exp x))))))) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (fma 1/2 (log (+ 1.0 (exp x))) (fma (- y) x (log (sqrt (sqrt (+ 1.0 (exp x))))))) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (log (+ 1.0 (exp x))) (fma y x (- (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (+ 1.0 (exp x)))))) (fma y x (- (log (sqrt (- 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x)))))) (expm1 (+ 1.0 (exp x))) (log1p (+ 1.0 (exp x))) (exp (+ 1.0 (exp x))) (log (+ 1.0 (exp x))) (exp (+ 1.0 (exp x))) (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))) (cbrt (+ 1.0 (exp x))) (pow (+ 1.0 (exp x)) 3) (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0)) (- (* 1.0 1.0) (* (exp x) (exp x))) (- 1.0 (exp x)) (+ 1.0 (exp x)) (fma (/ x (/ 2.0 x)) (- 1/4 (/ 1/4 2.0)) (fma (/ 1/2 2.0) x (log (sqrt 2.0)))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (fma (/ x (/ 2.0 x)) (- 1/4 (/ 1/4 2.0)) (fma (/ 1/2 2.0) x (log (sqrt 2.0)))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (fma (/ x (/ 2.0 x)) (- 1/2 (/ 1/2 2.0)) (fma (/ (log (sqrt 2.0)) 1) 2 (/ x 2.0))) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (fma 1 (log (+ 1.0 (exp x))) (- (* y x))) (fma 1/2 (pow x 2) (+ x 2.0)) (+ 1.0 (exp x)) (+ 1.0 (exp x)) 1.671 * * * [progress]: adding candidates to table 2.004 * [progress]: [Phase 3 of 3] Extracting. 2.004 * * [regime]: Finding splitpoints for: (# #) 2.004 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.004 * * * * [regimes]: Trying to branch on y from (# #) 2.019 * * * * [regimes]: Trying to branch on x from (# #) 2.033 * * * [regime]: Found split indices: #