9.120 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (- (log (+ 1.0 (exp x))) (* x y)) 0.048 * * [simplify]: iteration 0 : 12 enodes (cost 5 ) 0.050 * * [simplify]: iteration 1 : 19 enodes (cost 5 ) 0.051 * * [simplify]: iteration 2 : 23 enodes (cost 5 ) 0.052 * * [simplify]: iteration 3 : 23 enodes (cost 5 ) 0.053 * [simplify]: Simplified to: (- (log (+ 1.0 (exp x))) (* x y)) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.066 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.069 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.077 * [approximate]: Taking taylor expansion of (log (+ (exp x) 1.0)) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.077 * [taylor]: Taking taylor expansion of (exp x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.078 * [taylor]: Taking taylor expansion of (exp x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [approximate]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.095 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.095 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.095 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.095 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [approximate]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in (x) around 0 0.123 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.123 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.123 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.123 * [taylor]: Taking taylor expansion of -1 in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.124 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.124 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.124 * [taylor]: Taking taylor expansion of -1 in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.145 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.145 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.145 * [taylor]: Taking taylor expansion of (exp x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.145 * [taylor]: Taking taylor expansion of (exp x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.147 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.148 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.150 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.150 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.153 * [approximate]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 0.153 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in y 0.153 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in y 0.153 * [taylor]: Taking taylor expansion of (exp x) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of 1.0 in y 0.153 * [taylor]: Taking taylor expansion of (* x y) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in x 0.153 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.153 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.153 * [taylor]: Taking taylor expansion of (exp x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of (* x y) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in x 0.154 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.154 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.154 * [taylor]: Taking taylor expansion of (exp x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of (* x y) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (log 2.0) in y 0.155 * [taylor]: Taking taylor expansion of 2.0 in y 0.160 * [taylor]: Taking taylor expansion of (- 0.5 y) in y 0.160 * [taylor]: Taking taylor expansion of 0.5 in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of (- 0.25 (* 1/2 (/ 1 (pow 2.0 2)))) in y 0.173 * [taylor]: Taking taylor expansion of 0.25 in y 0.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow 2.0 2))) in y 0.173 * [taylor]: Taking taylor expansion of 1/2 in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow 2.0 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow 2.0 2) in y 0.173 * [taylor]: Taking taylor expansion of 2.0 in y 0.175 * [approximate]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 0.175 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in y 0.175 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in y 0.176 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of 1.0 in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.176 * [taylor]: Taking taylor expansion of (* x y) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in x 0.176 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.176 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.176 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.177 * [taylor]: Taking taylor expansion of (* x y) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in x 0.177 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.177 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.177 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.178 * [taylor]: Taking taylor expansion of (* x y) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in y 0.179 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in y 0.179 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of 1.0 in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [approximate]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 0.193 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in y 0.193 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in y 0.193 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.193 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.193 * [taylor]: Taking taylor expansion of -1 in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of 1.0 in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.193 * [taylor]: Taking taylor expansion of (* x y) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in x 0.193 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.193 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.193 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.193 * [taylor]: Taking taylor expansion of -1 in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.194 * [taylor]: Taking taylor expansion of (* x y) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in x 0.194 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.194 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.194 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.194 * [taylor]: Taking taylor expansion of -1 in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.195 * [taylor]: Taking taylor expansion of (* x y) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in y 0.197 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in y 0.197 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.197 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.197 * [taylor]: Taking taylor expansion of -1 in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of 1.0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.216 * * * [progress]: simplifying candidates 0.217 * [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)) 0.222 * * [simplify]: iteration 0 : 236 enodes (cost 404 ) 0.226 * * [simplify]: iteration 1 : 702 enodes (cost 369 ) 0.237 * * [simplify]: iteration 2 : 2284 enodes (cost 367 ) 0.274 * * [simplify]: iteration 3 : 5002 enodes (cost 340 ) 0.276 * [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)) 0.276 * * * [progress]: adding candidates to table 0.438 * * [progress]: iteration 2 / 4 0.438 * * * [progress]: picking best candidate 0.444 * * * * [pick]: Picked # 0.444 * * * [progress]: localizing error 0.454 * * * [progress]: generating rewritten candidates 0.454 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.458 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.461 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 0.464 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 0.469 * * * [progress]: generating series expansions 0.469 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.469 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 0.469 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 0.469 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.469 * [taylor]: Taking taylor expansion of (exp x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 0.472 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 0.472 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.472 * [taylor]: Taking taylor expansion of (exp x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in (x) around 0 0.523 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 0.523 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 0.523 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.523 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 0.524 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 0.524 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.524 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in (x) around 0 0.548 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 0.548 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.548 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.548 * [taylor]: Taking taylor expansion of -1 in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 0.549 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.549 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.549 * [taylor]: Taking taylor expansion of -1 in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.579 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in (x) around 0 0.579 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 0.579 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 0.579 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.579 * [taylor]: Taking taylor expansion of (exp x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 0.582 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 0.582 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.582 * [taylor]: Taking taylor expansion of (exp x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in (x) around 0 0.630 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 0.630 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.630 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 0.631 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 0.631 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.631 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in (x) around 0 0.661 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 0.661 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 0.661 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) 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 0.662 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 0.662 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 0.662 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.662 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.662 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.687 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 0.687 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.687 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.687 * [taylor]: Taking taylor expansion of (exp x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of 1.0 in x 0.687 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.687 * [taylor]: Taking taylor expansion of (exp x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.690 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.690 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.690 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.692 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.692 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.692 * [taylor]: Taking taylor expansion of -1 in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) 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 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 0.695 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.695 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.695 * [taylor]: Taking taylor expansion of (exp x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.695 * [taylor]: Taking taylor expansion of (exp x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.698 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.698 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.698 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.698 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.700 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.700 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.700 * [taylor]: Taking taylor expansion of -1 in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.700 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.701 * [taylor]: Taking taylor expansion of -1 in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * * * [progress]: simplifying candidates 0.704 * [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 (+ 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)) (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)) (+ x 2.0)) (+ (exp x) 1.0) (+ (exp x) 1.0) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (exp x) 1.0) (+ (exp x) 1.0) 0.708 * * [simplify]: iteration 0 : 165 enodes (cost 504 ) 0.711 * * [simplify]: iteration 1 : 423 enodes (cost 460 ) 0.718 * * [simplify]: iteration 2 : 1201 enodes (cost 448 ) 0.745 * * [simplify]: iteration 3 : 5002 enodes (cost 438 ) 0.747 * [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))))) 0 (log (sqrt (+ (exp x) 1.0))) 0 (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 (+ (exp x) 1.0))) 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))))) 0 (log (sqrt (+ (exp x) 1.0))) 0 (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 (+ (exp x) 1.0))) 3) (sqrt (log (sqrt (+ 1.0 (exp x))))) (sqrt (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)) (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 (/ x 2.0) (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 (/ x 2.0) (log (sqrt 2.0)))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (fma 1/2 (pow x 2) (+ x 2.0)) (+ 1.0 (exp x)) (+ 1.0 (exp x)) (fma 1/2 (pow x 2) (+ x 2.0)) (+ 1.0 (exp x)) (+ 1.0 (exp x)) 0.748 * * * [progress]: adding candidates to table 1.018 * * [progress]: iteration 3 / 4 1.018 * * * [progress]: picking best candidate 1.023 * * * * [pick]: Picked # 1.023 * * * [progress]: localizing error 1.034 * * * [progress]: generating rewritten candidates 1.034 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.035 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.039 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.040 * * * [progress]: generating series expansions 1.040 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.040 * [approximate]: Taking taylor expansion of (log (fma 1/2 (pow x 2) (+ x 2.0))) in (x) around 0 1.040 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow x 2) (+ x 2.0))) in x 1.040 * [taylor]: Taking taylor expansion of (fma 1/2 (pow x 2) (+ x 2.0)) in x 1.040 * [taylor]: Rewrote expression to (+ (* 1/2 (pow x 2)) (+ x 2.0)) 1.040 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.040 * [taylor]: Taking taylor expansion of 1/2 in x 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of 2.0 in x 1.042 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow x 2) (+ x 2.0))) in x 1.042 * [taylor]: Taking taylor expansion of (fma 1/2 (pow x 2) (+ x 2.0)) in x 1.042 * [taylor]: Rewrote expression to (+ (* 1/2 (pow x 2)) (+ x 2.0)) 1.042 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.042 * [taylor]: Taking taylor expansion of 1/2 in x 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of 2.0 in x 1.059 * [approximate]: Taking taylor expansion of (log (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x)))) in (x) around 0 1.059 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x)))) in x 1.059 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x))) in x 1.060 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ 1 x) 2)) (+ 2.0 (/ 1 x))) 1.060 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in x 1.060 * [taylor]: Taking taylor expansion of 1/2 in x 1.060 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (+ 2.0 (/ 1 x)) in x 1.060 * [taylor]: Taking taylor expansion of 2.0 in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x)))) in x 1.061 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x))) in x 1.061 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ 1 x) 2)) (+ 2.0 (/ 1 x))) 1.061 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in x 1.061 * [taylor]: Taking taylor expansion of 1/2 in x 1.061 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of (+ 2.0 (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of 2.0 in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.081 * [approximate]: Taking taylor expansion of (log (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x)))) in (x) around 0 1.081 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x)))) in x 1.081 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x))) in x 1.082 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ -1 x) 2)) (- 2.0 (/ 1 x))) 1.082 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ -1 x) 2)) in x 1.082 * [taylor]: Taking taylor expansion of 1/2 in x 1.082 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 1.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.082 * [taylor]: Taking taylor expansion of -1 in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 1.082 * [taylor]: Taking taylor expansion of 2.0 in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x)))) in x 1.084 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x))) in x 1.084 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ -1 x) 2)) (- 2.0 (/ 1 x))) 1.084 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ -1 x) 2)) in x 1.084 * [taylor]: Taking taylor expansion of 1/2 in x 1.084 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 1.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.084 * [taylor]: Taking taylor expansion of -1 in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 1.084 * [taylor]: Taking taylor expansion of 2.0 in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.099 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.099 * [approximate]: Taking taylor expansion of (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y)) in (x y) around 0 1.099 * [taylor]: Taking taylor expansion of (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y)) in y 1.099 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow x 2) (+ x 2.0))) in y 1.099 * [taylor]: Taking taylor expansion of (fma 1/2 (pow x 2) (+ x 2.0)) in y 1.100 * [taylor]: Rewrote expression to (+ (* 1/2 (pow x 2)) (+ x 2.0)) 1.100 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in y 1.100 * [taylor]: Taking taylor expansion of 1/2 in y 1.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of (+ x 2.0) in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of 2.0 in y 1.100 * [taylor]: Taking taylor expansion of (* x y) in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y)) in x 1.100 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow x 2) (+ x 2.0))) in x 1.100 * [taylor]: Taking taylor expansion of (fma 1/2 (pow x 2) (+ x 2.0)) in x 1.100 * [taylor]: Rewrote expression to (+ (* 1/2 (pow x 2)) (+ x 2.0)) 1.100 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.100 * [taylor]: Taking taylor expansion of 1/2 in x 1.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of 2.0 in x 1.101 * [taylor]: Taking taylor expansion of (* x y) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of y in x 1.101 * [taylor]: Taking taylor expansion of (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y)) in x 1.101 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow x 2) (+ x 2.0))) in x 1.101 * [taylor]: Taking taylor expansion of (fma 1/2 (pow x 2) (+ x 2.0)) in x 1.101 * [taylor]: Rewrote expression to (+ (* 1/2 (pow x 2)) (+ x 2.0)) 1.101 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.101 * [taylor]: Taking taylor expansion of 1/2 in x 1.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of 2.0 in x 1.102 * [taylor]: Taking taylor expansion of (* x y) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of y in x 1.103 * [taylor]: Taking taylor expansion of (log 2.0) in y 1.103 * [taylor]: Taking taylor expansion of 2.0 in y 1.108 * [taylor]: Taking taylor expansion of (- 0.5 y) in y 1.108 * [taylor]: Taking taylor expansion of 0.5 in y 1.108 * [taylor]: Taking taylor expansion of y in y 1.121 * [taylor]: Taking taylor expansion of (- 0.25 (* 1/2 (/ 1 (pow 2.0 2)))) in y 1.121 * [taylor]: Taking taylor expansion of 0.25 in y 1.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow 2.0 2))) in y 1.121 * [taylor]: Taking taylor expansion of 1/2 in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow 2.0 2)) in y 1.121 * [taylor]: Taking taylor expansion of (pow 2.0 2) in y 1.121 * [taylor]: Taking taylor expansion of 2.0 in y 1.123 * [approximate]: Taking taylor expansion of (- (log (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x)))) (/ 1 (* x y))) in (x y) around 0 1.124 * [taylor]: Taking taylor expansion of (- (log (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x)))) (/ 1 (* x y))) in y 1.124 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x)))) in y 1.124 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x))) in y 1.124 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ 1 x) 2)) (+ 2.0 (/ 1 x))) 1.124 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in y 1.124 * [taylor]: Taking taylor expansion of 1/2 in y 1.124 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 1.124 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.124 * [taylor]: Taking taylor expansion of x in y 1.124 * [taylor]: Taking taylor expansion of (+ 2.0 (/ 1 x)) in y 1.124 * [taylor]: Taking taylor expansion of 2.0 in y 1.124 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.124 * [taylor]: Taking taylor expansion of x in y 1.124 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.124 * [taylor]: Taking taylor expansion of (* x y) in y 1.124 * [taylor]: Taking taylor expansion of x in y 1.124 * [taylor]: Taking taylor expansion of y in y 1.125 * [taylor]: Taking taylor expansion of (- (log (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x)))) (/ 1 (* x y))) in x 1.125 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x)))) in x 1.125 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x))) in x 1.125 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ 1 x) 2)) (+ 2.0 (/ 1 x))) 1.125 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in x 1.125 * [taylor]: Taking taylor expansion of 1/2 in x 1.125 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (+ 2.0 (/ 1 x)) in x 1.125 * [taylor]: Taking taylor expansion of 2.0 in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.127 * [taylor]: Taking taylor expansion of (* x y) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [taylor]: Taking taylor expansion of (- (log (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x)))) (/ 1 (* x y))) in x 1.127 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x)))) in x 1.127 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x))) in x 1.127 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ 1 x) 2)) (+ 2.0 (/ 1 x))) 1.127 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in x 1.127 * [taylor]: Taking taylor expansion of 1/2 in x 1.127 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (+ 2.0 (/ 1 x)) in x 1.127 * [taylor]: Taking taylor expansion of 2.0 in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.129 * [taylor]: Taking taylor expansion of (* x y) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of y in x 1.129 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.129 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.129 * [taylor]: Taking taylor expansion of y in y 1.131 * [taylor]: Taking taylor expansion of (- (log 1/2) (* 2 (log x))) in y 1.131 * [taylor]: Taking taylor expansion of (log 1/2) in y 1.131 * [taylor]: Taking taylor expansion of 1/2 in y 1.132 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.132 * [taylor]: Taking taylor expansion of 2 in y 1.132 * [taylor]: Taking taylor expansion of (log x) in y 1.132 * [taylor]: Taking taylor expansion of x in y 1.136 * [taylor]: Taking taylor expansion of 2 in y 1.148 * [taylor]: Taking taylor expansion of 2.0 in y 1.149 * [approximate]: Taking taylor expansion of (- (log (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x)))) (/ 1 (* x y))) in (x y) around 0 1.149 * [taylor]: Taking taylor expansion of (- (log (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x)))) (/ 1 (* x y))) in y 1.149 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x)))) in y 1.149 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x))) in y 1.149 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ -1 x) 2)) (- 2.0 (/ 1 x))) 1.149 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ -1 x) 2)) in y 1.149 * [taylor]: Taking taylor expansion of 1/2 in y 1.149 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 1.149 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.149 * [taylor]: Taking taylor expansion of -1 in y 1.149 * [taylor]: Taking taylor expansion of x in y 1.149 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in y 1.149 * [taylor]: Taking taylor expansion of 2.0 in y 1.149 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.149 * [taylor]: Taking taylor expansion of x in y 1.150 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.150 * [taylor]: Taking taylor expansion of (* x y) in y 1.150 * [taylor]: Taking taylor expansion of x in y 1.150 * [taylor]: Taking taylor expansion of y in y 1.150 * [taylor]: Taking taylor expansion of (- (log (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x)))) (/ 1 (* x y))) in x 1.150 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x)))) in x 1.150 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x))) in x 1.150 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ -1 x) 2)) (- 2.0 (/ 1 x))) 1.150 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ -1 x) 2)) in x 1.150 * [taylor]: Taking taylor expansion of 1/2 in x 1.151 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 1.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.151 * [taylor]: Taking taylor expansion of -1 in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 1.151 * [taylor]: Taking taylor expansion of 2.0 in x 1.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.152 * [taylor]: Taking taylor expansion of (* x y) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of y in x 1.153 * [taylor]: Taking taylor expansion of (- (log (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x)))) (/ 1 (* x y))) in x 1.153 * [taylor]: Taking taylor expansion of (log (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x)))) in x 1.153 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x))) in x 1.153 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ -1 x) 2)) (- 2.0 (/ 1 x))) 1.153 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ -1 x) 2)) in x 1.153 * [taylor]: Taking taylor expansion of 1/2 in x 1.153 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 1.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.153 * [taylor]: Taking taylor expansion of -1 in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 1.153 * [taylor]: Taking taylor expansion of 2.0 in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.155 * [taylor]: Taking taylor expansion of (* x y) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of y in x 1.155 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.155 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of (- (log 1/2) (* 2 (log x))) in y 1.158 * [taylor]: Taking taylor expansion of (log 1/2) in y 1.158 * [taylor]: Taking taylor expansion of 1/2 in y 1.158 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 1.158 * [taylor]: Taking taylor expansion of 2 in y 1.158 * [taylor]: Taking taylor expansion of (log x) in y 1.158 * [taylor]: Taking taylor expansion of x in y 1.163 * [taylor]: Taking taylor expansion of -2 in y 1.181 * [taylor]: Taking taylor expansion of 2.0 in y 1.182 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.182 * [approximate]: Taking taylor expansion of (fma 1/2 (pow x 2) (+ x 2.0)) in (x) around 0 1.182 * [taylor]: Taking taylor expansion of (fma 1/2 (pow x 2) (+ x 2.0)) in x 1.182 * [taylor]: Rewrote expression to (+ (* 1/2 (pow x 2)) (+ x 2.0)) 1.182 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.182 * [taylor]: Taking taylor expansion of 1/2 in x 1.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of 2.0 in x 1.183 * [taylor]: Taking taylor expansion of (fma 1/2 (pow x 2) (+ x 2.0)) in x 1.183 * [taylor]: Rewrote expression to (+ (* 1/2 (pow x 2)) (+ x 2.0)) 1.183 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.183 * [taylor]: Taking taylor expansion of 1/2 in x 1.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of 2.0 in x 1.185 * [approximate]: Taking taylor expansion of (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x))) in (x) around 0 1.185 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x))) in x 1.185 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ 1 x) 2)) (+ 2.0 (/ 1 x))) 1.185 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in x 1.185 * [taylor]: Taking taylor expansion of 1/2 in x 1.185 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 1.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.185 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (+ 2.0 (/ 1 x)) in x 1.186 * [taylor]: Taking taylor expansion of 2.0 in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ 1 x) 2) (+ 2.0 (/ 1 x))) in x 1.186 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ 1 x) 2)) (+ 2.0 (/ 1 x))) 1.186 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in x 1.186 * [taylor]: Taking taylor expansion of 1/2 in x 1.186 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (+ 2.0 (/ 1 x)) in x 1.186 * [taylor]: Taking taylor expansion of 2.0 in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.192 * [approximate]: Taking taylor expansion of (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x))) in (x) around 0 1.193 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x))) in x 1.193 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ -1 x) 2)) (- 2.0 (/ 1 x))) 1.193 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ -1 x) 2)) in x 1.193 * [taylor]: Taking taylor expansion of 1/2 in x 1.193 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 1.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.193 * [taylor]: Taking taylor expansion of -1 in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 1.193 * [taylor]: Taking taylor expansion of 2.0 in x 1.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of (fma 1/2 (pow (/ -1 x) 2) (- 2.0 (/ 1 x))) in x 1.194 * [taylor]: Rewrote expression to (+ (* 1/2 (pow (/ -1 x) 2)) (- 2.0 (/ 1 x))) 1.194 * [taylor]: Taking taylor expansion of (* 1/2 (pow (/ -1 x) 2)) in x 1.194 * [taylor]: Taking taylor expansion of 1/2 in x 1.194 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 1.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.194 * [taylor]: Taking taylor expansion of -1 in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 1.194 * [taylor]: Taking taylor expansion of 2.0 in x 1.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.200 * * * [progress]: simplifying candidates 1.201 * [simplify]: Simplifying using # : (expm1 (log (fma 1/2 (pow x 2) (+ x 2.0)))) (log1p (log (fma 1/2 (pow x 2) (+ x 2.0)))) (log (* (cbrt (fma 1/2 (pow x 2) (+ x 2.0))) (cbrt (fma 1/2 (pow x 2) (+ x 2.0))))) (log (cbrt (fma 1/2 (pow x 2) (+ x 2.0)))) (log (sqrt (fma 1/2 (pow x 2) (+ x 2.0)))) (log (sqrt (fma 1/2 (pow x 2) (+ x 2.0)))) (log 1) (log (fma 1/2 (pow x 2) (+ x 2.0))) (log (fma 1/2 (pow x 2) (+ x 2.0))) (log (log (fma 1/2 (pow x 2) (+ x 2.0)))) (exp (log (fma 1/2 (pow x 2) (+ x 2.0)))) (* (cbrt (log (fma 1/2 (pow x 2) (+ x 2.0)))) (cbrt (log (fma 1/2 (pow x 2) (+ x 2.0))))) (cbrt (log (fma 1/2 (pow x 2) (+ x 2.0)))) (* (* (log (fma 1/2 (pow x 2) (+ x 2.0))) (log (fma 1/2 (pow x 2) (+ x 2.0)))) (log (fma 1/2 (pow x 2) (+ x 2.0)))) (sqrt (log (fma 1/2 (pow x 2) (+ x 2.0)))) (sqrt (log (fma 1/2 (pow x 2) (+ x 2.0)))) (fma 1 (log (fma 1/2 (pow x 2) (+ x 2.0))) (- (* y x))) (fma (- y) x (* y x)) (fma (* (cbrt (log (fma 1/2 (pow x 2) (+ x 2.0)))) (cbrt (log (fma 1/2 (pow x 2) (+ x 2.0))))) (cbrt (log (fma 1/2 (pow x 2) (+ x 2.0)))) (- (* y x))) (fma (- y) x (* y x)) (fma (sqrt (log (fma 1/2 (pow x 2) (+ x 2.0)))) (sqrt (log (fma 1/2 (pow x 2) (+ x 2.0)))) (- (* y x))) (fma (- y) x (* y x)) (fma 1 (log (fma 1/2 (pow x 2) (+ x 2.0))) (- (* y x))) (fma (- y) x (* y x)) (expm1 (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (log1p (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (- (* x y)) (- (* x y)) (- (* x y)) (- (* x y)) (/ (fma 1/2 (pow x 2) (+ x 2.0)) (exp (* x y))) (log (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (exp (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (* (cbrt (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (cbrt (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y)))) (cbrt (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (* (* (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y)) (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (sqrt (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (sqrt (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (- (pow (log (fma 1/2 (pow x 2) (+ x 2.0))) 3) (pow (* x y) 3)) (+ (* (log (fma 1/2 (pow x 2) (+ x 2.0))) (log (fma 1/2 (pow x 2) (+ x 2.0)))) (+ (* (* x y) (* x y)) (* (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y)))) (- (* x y)) (- (* (log (fma 1/2 (pow x 2) (+ x 2.0))) (log (fma 1/2 (pow x 2) (+ x 2.0)))) (* (* x y) (* x y))) (+ (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y)) (- (log (cbrt (fma 1/2 (pow x 2) (+ x 2.0)))) (* x y)) (- (log (sqrt (fma 1/2 (pow x 2) (+ x 2.0)))) (* x y)) (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y)) (- (* x y)) (expm1 (fma 1/2 (pow x 2) (+ x 2.0))) (log1p (fma 1/2 (pow x 2) (+ x 2.0))) (* 1/2 (pow x 2)) (log (fma 1/2 (pow x 2) (+ x 2.0))) (exp (fma 1/2 (pow x 2) (+ x 2.0))) (* (cbrt (fma 1/2 (pow x 2) (+ x 2.0))) (cbrt (fma 1/2 (pow x 2) (+ x 2.0)))) (cbrt (fma 1/2 (pow x 2) (+ x 2.0))) (* (* (fma 1/2 (pow x 2) (+ x 2.0)) (fma 1/2 (pow x 2) (+ x 2.0))) (fma 1/2 (pow x 2) (+ x 2.0))) (sqrt (fma 1/2 (pow x 2) (+ x 2.0))) (sqrt (fma 1/2 (pow x 2) (+ x 2.0))) (- (+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x))) (* 1/2 (/ (pow x 2) (pow 2.0 2)))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (log 1/2) (* 2 (/ 1 x)))) (* 2 (log (/ 1 x)))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (log 1/2) (* 2 (/ 1 x)))) (* 2 (log (/ -1 x)))) (+ (log 2.0) (+ (* 0.125 (pow x 2)) (* 0.5 x))) (- (+ (log 1/2) (* 2 (/ 1 x))) (+ (* x y) (* 2 (log (/ 1 x))))) (- (+ (log 1/2) (* 2 (/ 1 x))) (+ (* x y) (* 2 (log (/ -1 x))))) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (* 1/2 (pow x 2)) (+ x 2.0)) 1.206 * * [simplify]: iteration 0 : 229 enodes (cost 423 ) 1.211 * * [simplify]: iteration 1 : 763 enodes (cost 380 ) 1.225 * * [simplify]: iteration 2 : 3267 enodes (cost 376 ) 1.284 * * [simplify]: iteration 3 : 5001 enodes (cost 356 ) 1.286 * [simplify]: Simplified to: (expm1 (log (fma 1/2 (pow x 2) (+ x 2.0)))) (log1p (log (fma 1/2 (pow x 2) (+ x 2.0)))) (* 2 (log (cbrt (fma 1/2 (pow x 2) (+ x 2.0))))) (log (cbrt (fma 1/2 (pow x 2) (+ x 2.0)))) (log (sqrt (fma 1/2 (pow x 2) (+ x 2.0)))) (log (sqrt (fma 1/2 (pow x 2) (+ x 2.0)))) 0 (log (fma 1/2 (pow x 2) (+ x 2.0))) (log (fma 1/2 (pow x 2) (+ x 2.0))) (log (log (fma 1/2 (pow x 2) (+ x 2.0)))) (fma 1/2 (pow x 2) (+ x 2.0)) (* (cbrt (log (fma 1/2 (pow x 2) (+ x 2.0)))) (cbrt (log (fma 1/2 (pow x 2) (+ x 2.0))))) (cbrt (log (fma 1/2 (pow x 2) (+ x 2.0)))) (pow (log (fma 1/2 (pow x 2) (+ x 2.0))) 3) (sqrt (log (fma 1/2 (pow x 2) (+ x 2.0)))) (sqrt (log (fma 1/2 (pow x 2) (+ x 2.0)))) (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* y x)) (fma (- y) x (* y x)) (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* y x)) (fma (- y) x (* y x)) (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* y x)) (fma (- y) x (* y x)) (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* y x)) (fma (- y) x (* y x)) (expm1 (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (log1p (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (- (* x y)) (- (* x y)) (- (* x y)) (- (* x y)) (/ (fma 1/2 (pow x 2) (+ x 2.0)) (exp (* x y))) (log (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (/ (fma 1/2 (pow x 2) (+ x 2.0)) (exp (* x y))) (* (cbrt (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (cbrt (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y)))) (cbrt (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (pow (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y)) 3) (sqrt (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (sqrt (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))) (- (pow (log (fma 1/2 (pow x 2) (+ x 2.0))) 3) (pow (* x y) 3)) (fma (log (fma 1/2 (pow x 2) (+ x 2.0))) (fma x y (log (fma 1/2 (pow x 2) (+ x 2.0)))) (* (* x y) (* x y))) (- (* x y)) (* (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y)) (fma x y (log (fma 1/2 (pow x 2) (+ x 2.0))))) (fma x y (log (fma 1/2 (pow x 2) (+ x 2.0)))) (- (log (cbrt (fma 1/2 (pow x 2) (+ x 2.0)))) (* x y)) (- (log (sqrt (fma 1/2 (pow x 2) (+ x 2.0)))) (* x y)) (- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* y x)) (- (* x y)) (expm1 (fma 1/2 (pow x 2) (+ x 2.0))) (log1p (fma 1/2 (pow x 2) (+ x 2.0))) (* 1/2 (pow x 2)) (log (fma 1/2 (pow x 2) (+ x 2.0))) (exp (fma 1/2 (pow x 2) (+ x 2.0))) (* (cbrt (fma 1/2 (pow x 2) (+ x 2.0))) (cbrt (fma 1/2 (pow x 2) (+ x 2.0)))) (cbrt (fma 1/2 (pow x 2) (+ x 2.0))) (pow (fma 1/2 (pow x 2) (+ x 2.0)) 3) (sqrt (fma 1/2 (pow x 2) (+ x 2.0))) (sqrt (fma 1/2 (pow x 2) (+ x 2.0))) (fma x (+ (* 0.25 x) 0.5) (- (log 2.0) (* 1/2 (/ (pow x 2) (pow 2.0 2))))) (fma (log x) 2 (fma (/ 1 x) (+ 2 (/ 2.0 x)) (log 1/2))) (fma (/ 1 x) (+ 2 (/ 2.0 x)) (- (log 1/2) (* 2 (log (/ -1 x))))) (fma x (+ (* 0.125 x) 0.5) (log 2.0)) (fma (log x) 2 (+ (/ 2 x) (- (log 1/2) (* y x)))) (+ (/ 2 x) (- (log 1/2) (fma x y (* 2 (log (/ -1 x)))))) (fma 1/2 (pow x 2) (+ x 2.0)) (fma 1/2 (pow x 2) (+ x 2.0)) (fma 1/2 (pow x 2) (+ x 2.0)) 1.287 * * * [progress]: adding candidates to table 1.446 * * [progress]: iteration 4 / 4 1.446 * * * [progress]: picking best candidate 1.450 * * * * [pick]: Picked # 1.451 * * * [progress]: localizing error 1.458 * * * [progress]: generating rewritten candidates 1.458 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.458 * * * [progress]: generating series expansions 1.458 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.459 * [approximate]: Taking taylor expansion of (fma x (+ (* 0.125 x) 0.5) (log 2.0)) in (x) around 0 1.459 * [taylor]: Taking taylor expansion of (fma x (+ (* 0.125 x) 0.5) (log 2.0)) in x 1.459 * [taylor]: Rewrote expression to (+ (* x (+ (* 0.125 x) 0.5)) (log 2.0)) 1.459 * [taylor]: Taking taylor expansion of (* x (+ (* 0.125 x) 0.5)) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (+ (* 0.125 x) 0.5) in x 1.459 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 1.459 * [taylor]: Taking taylor expansion of 0.125 in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of 0.5 in x 1.459 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.459 * [taylor]: Taking taylor expansion of 2.0 in x 1.460 * [taylor]: Taking taylor expansion of (fma x (+ (* 0.125 x) 0.5) (log 2.0)) in x 1.460 * [taylor]: Rewrote expression to (+ (* x (+ (* 0.125 x) 0.5)) (log 2.0)) 1.460 * [taylor]: Taking taylor expansion of (* x (+ (* 0.125 x) 0.5)) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of (+ (* 0.125 x) 0.5) in x 1.460 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 1.460 * [taylor]: Taking taylor expansion of 0.125 in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of 0.5 in x 1.460 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.460 * [taylor]: Taking taylor expansion of 2.0 in x 1.471 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (+ 0.5 (* 0.125 (/ 1 x))) (log 2.0)) in (x) around 0 1.471 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ 0.5 (* 0.125 (/ 1 x))) (log 2.0)) in x 1.471 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ 0.5 (* 0.125 (/ 1 x)))) (log 2.0)) 1.471 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ 0.5 (* 0.125 (/ 1 x)))) in x 1.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.471 * [taylor]: Taking taylor expansion of x in x 1.471 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.125 (/ 1 x))) in x 1.471 * [taylor]: Taking taylor expansion of 0.5 in x 1.471 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 1.471 * [taylor]: Taking taylor expansion of 0.125 in x 1.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.471 * [taylor]: Taking taylor expansion of x in x 1.472 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.472 * [taylor]: Taking taylor expansion of 2.0 in x 1.472 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ 0.5 (* 0.125 (/ 1 x))) (log 2.0)) in x 1.472 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ 0.5 (* 0.125 (/ 1 x)))) (log 2.0)) 1.472 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ 0.5 (* 0.125 (/ 1 x)))) in x 1.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.125 (/ 1 x))) in x 1.472 * [taylor]: Taking taylor expansion of 0.5 in x 1.473 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 1.473 * [taylor]: Taking taylor expansion of 0.125 in x 1.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.473 * [taylor]: Taking taylor expansion of 2.0 in x 1.481 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (- 0.5 (* 0.125 (/ 1 x))) (log 2.0)) in (x) around 0 1.481 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 0.5 (* 0.125 (/ 1 x))) (log 2.0)) in x 1.482 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 0.5 (* 0.125 (/ 1 x)))) (log 2.0)) 1.482 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 0.5 (* 0.125 (/ 1 x)))) in x 1.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.482 * [taylor]: Taking taylor expansion of -1 in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.125 (/ 1 x))) in x 1.482 * [taylor]: Taking taylor expansion of 0.5 in x 1.482 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 1.482 * [taylor]: Taking taylor expansion of 0.125 in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.482 * [taylor]: Taking taylor expansion of 2.0 in x 1.483 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 0.5 (* 0.125 (/ 1 x))) (log 2.0)) in x 1.483 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 0.5 (* 0.125 (/ 1 x)))) (log 2.0)) 1.483 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 0.5 (* 0.125 (/ 1 x)))) in x 1.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.483 * [taylor]: Taking taylor expansion of -1 in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.125 (/ 1 x))) in x 1.483 * [taylor]: Taking taylor expansion of 0.5 in x 1.483 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 1.483 * [taylor]: Taking taylor expansion of 0.125 in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.484 * [taylor]: Taking taylor expansion of 2.0 in x 1.494 * * * [progress]: simplifying candidates 1.494 * [simplify]: Simplifying using # : (expm1 (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (log1p (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (* x (+ (* 0.125 x) 0.5)) (log (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (exp (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (* (cbrt (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (cbrt (fma x (+ (* 0.125 x) 0.5) (log 2.0)))) (cbrt (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (* (* (fma x (+ (* 0.125 x) 0.5) (log 2.0)) (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (sqrt (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (sqrt (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (+ (log 2.0) (+ (* 0.125 (pow x 2)) (* 0.5 x))) (+ (log 2.0) (+ (* 0.125 (pow x 2)) (* 0.5 x))) (+ (log 2.0) (+ (* 0.125 (pow x 2)) (* 0.5 x))) 1.497 * * [simplify]: iteration 0 : 45 enodes (cost 77 ) 1.499 * * [simplify]: iteration 1 : 94 enodes (cost 61 ) 1.502 * * [simplify]: iteration 2 : 370 enodes (cost 60 ) 1.510 * * [simplify]: iteration 3 : 1911 enodes (cost 60 ) 1.556 * * [simplify]: iteration 4 : 5001 enodes (cost 60 ) 1.557 * [simplify]: Simplified to: (expm1 (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (log1p (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (* (fma 0.125 x 0.5) x) (log (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (exp (fma (fma 0.125 x 0.5) x (log 2.0))) (* (cbrt (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (cbrt (fma x (+ (* 0.125 x) 0.5) (log 2.0)))) (cbrt (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (pow (fma (fma 0.125 x 0.5) x (log 2.0)) 3) (sqrt (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (sqrt (fma x (+ (* 0.125 x) 0.5) (log 2.0))) (fma (fma 0.125 x 0.5) x (log 2.0)) (fma (fma 0.125 x 0.5) x (log 2.0)) (fma (fma 0.125 x 0.5) x (log 2.0)) 1.557 * * * [progress]: adding candidates to table 1.590 * [progress]: [Phase 3 of 3] Extracting. 1.590 * * [regime]: Finding splitpoints for: (# # # #) 1.591 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.591 * * * * [regimes]: Trying to branch on y from (# # # #) 1.609 * * * * [regimes]: Trying to branch on x from (# # # #) 1.629 * * * [regime]: Found split indices: #