0.195 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.063 * * * [progress]: [2/2] Setting up program. 0.065 * [progress]: [Phase 2 of 3] Improving. 0.066 * [simplify]: Simplifying using # : (- (log (+ 1.0 (exp x))) (* x y)) 0.067 * * [simplify]: iteration 0 : 8 enodes (cost 9 ) 0.068 * * [simplify]: iteration 1 : 12 enodes (cost 9 ) 0.069 * * [simplify]: iteration 2 : 19 enodes (cost 9 ) 0.071 * * [simplify]: iteration 3 : 23 enodes (cost 9 ) 0.073 * * [simplify]: iteration done : 23 enodes (cost 9 ) 0.073 * [simplify]: Simplified to: (- (log (+ 1.0 (exp x))) (* x y)) 0.074 * * [progress]: iteration 1 / 4 0.074 * * * [progress]: picking best candidate 0.076 * * * * [pick]: Picked # 0.076 * * * [progress]: localizing error 0.084 * * * [progress]: generating rewritten candidates 0.084 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.087 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.090 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.097 * * * [progress]: generating series expansions 0.097 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.097 * [approximate]: Taking taylor expansion of (log (+ (exp x) 1.0)) in (x) around 0 0.097 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.097 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.097 * [taylor]: Taking taylor expansion of (exp x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (exp x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [approximate]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in (x) around 0 0.115 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.115 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.115 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.116 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.116 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [approximate]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.141 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.141 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.141 * [taylor]: Taking taylor expansion of -1 in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.142 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.142 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.142 * [taylor]: Taking taylor expansion of -1 in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.162 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.162 * [taylor]: Taking taylor expansion of (exp x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.162 * [taylor]: Taking taylor expansion of (exp x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.167 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.167 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.167 * [taylor]: Taking taylor expansion of -1 in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.168 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.168 * [taylor]: Taking taylor expansion of -1 in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.170 * [approximate]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in (x y) around 0 0.170 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 0.170 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in y 0.170 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in y 0.170 * [taylor]: Taking taylor expansion of (exp x) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of 1.0 in y 0.170 * [taylor]: Taking taylor expansion of (* x y) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in x 0.170 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.170 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.170 * [taylor]: Taking taylor expansion of (exp x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (* x y) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in x 0.171 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.171 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.171 * [taylor]: Taking taylor expansion of (exp x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (* x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.173 * [taylor]: Taking taylor expansion of (log 2.0) in y 0.173 * [taylor]: Taking taylor expansion of 2.0 in y 0.177 * [taylor]: Taking taylor expansion of (- 0.5 y) in y 0.178 * [taylor]: Taking taylor expansion of 0.5 in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (- 0.25 (* 1/2 (/ 1 (pow 2.0 2)))) in y 0.190 * [taylor]: Taking taylor expansion of 0.25 in y 0.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow 2.0 2))) in y 0.190 * [taylor]: Taking taylor expansion of 1/2 in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow 2.0 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow 2.0 2) in y 0.190 * [taylor]: Taking taylor expansion of 2.0 in y 0.192 * [approximate]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 0.192 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in y 0.192 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in y 0.192 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [taylor]: Taking taylor expansion of 1.0 in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.192 * [taylor]: Taking taylor expansion of (* x y) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [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 x in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.193 * [taylor]: Taking taylor expansion of (* x y) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [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 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 (- (/ 1 y)) in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in y 0.196 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in y 0.196 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [taylor]: Taking taylor expansion of 1.0 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [approximate]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 0.209 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in y 0.209 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in y 0.209 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.209 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.209 * [taylor]: Taking taylor expansion of -1 in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of 1.0 in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.209 * [taylor]: Taking taylor expansion of (* x y) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in x 0.209 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.209 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.209 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.209 * [taylor]: Taking taylor expansion of -1 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.210 * [taylor]: Taking taylor expansion of (* x y) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in x 0.210 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.210 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.210 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.210 * [taylor]: Taking taylor expansion of -1 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.211 * [taylor]: Taking taylor expansion of (* x y) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in y 0.218 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in y 0.218 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.218 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.218 * [taylor]: Taking taylor expansion of -1 in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of 1.0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * * * [progress]: simplifying candidates 0.232 * [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)) 0.235 * * [simplify]: iteration 0 : 105 enodes (cost 724 ) 0.251 * * [simplify]: iteration 1 : 236 enodes (cost 686 ) 0.292 * * [simplify]: iteration 2 : 615 enodes (cost 635 )