17.015 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying using # : (- (log (+ 1.0 (exp x))) (* x y)) 0.059 * * [simplify]: iteration 0 : 12 enodes (cost 5 ) 0.061 * * [simplify]: iteration 1 : 19 enodes (cost 5 ) 0.062 * * [simplify]: iteration 2 : 23 enodes (cost 5 ) 0.063 * * [simplify]: iteration 3 : 23 enodes (cost 5 ) 0.064 * [simplify]: Simplified to: (- (log (+ 1.0 (exp x))) (* x y)) 0.064 * * [progress]: iteration 1 / 4 0.064 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.077 * * * [progress]: generating rewritten candidates 0.077 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.080 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.084 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.091 * * * [progress]: generating series expansions 0.091 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.091 * [approximate]: Taking taylor expansion of (log (+ (exp x) 1.0)) in (x) around 0 0.091 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.091 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.091 * [taylor]: Taking taylor expansion of (exp x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.092 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.092 * [taylor]: Taking taylor expansion of (exp x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [approximate]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in (x) around 0 0.109 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.109 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.109 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.110 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.110 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [approximate]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.131 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.131 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.131 * [taylor]: Taking taylor expansion of -1 in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.132 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.132 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.132 * [taylor]: Taking taylor expansion of -1 in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.152 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.152 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.152 * [taylor]: Taking taylor expansion of (exp x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.152 * [taylor]: Taking taylor expansion of (exp x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.159 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.159 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.160 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.162 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.162 * [taylor]: Taking taylor expansion of -1 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 (/ -1 x)) 1.0) in x 0.162 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.165 * [approximate]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 0.165 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in y 0.165 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in y 0.165 * [taylor]: Taking taylor expansion of (exp x) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of 1.0 in y 0.165 * [taylor]: Taking taylor expansion of (* x y) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in x 0.165 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.165 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (exp x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (* x y) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in x 0.166 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.166 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.166 * [taylor]: Taking taylor expansion of (exp x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (* x y) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of (log 2.0) in y 0.168 * [taylor]: Taking taylor expansion of 2.0 in y 0.173 * [taylor]: Taking taylor expansion of (- 0.5 y) in y 0.173 * [taylor]: Taking taylor expansion of 0.5 in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (- 0.25 (* 1/2 (/ 1 (pow 2.0 2)))) in y 0.185 * [taylor]: Taking taylor expansion of 0.25 in y 0.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow 2.0 2))) in y 0.185 * [taylor]: Taking taylor expansion of 1/2 in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow 2.0 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow 2.0 2) in y 0.185 * [taylor]: Taking taylor expansion of 2.0 in y 0.188 * [approximate]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 0.188 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in y 0.188 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in y 0.188 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of 1.0 in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.188 * [taylor]: Taking taylor expansion of (* x y) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in x 0.188 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.188 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.188 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.189 * [taylor]: Taking taylor expansion of (* x y) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in x 0.189 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.189 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.189 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.190 * [taylor]: Taking taylor expansion of (* x y) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.190 * [taylor]: Taking taylor expansion of 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 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [approximate]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 0.205 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 0.205 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in y 0.205 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in y 0.205 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.205 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.205 * [taylor]: Taking taylor expansion of -1 in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of 1.0 in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.205 * [taylor]: Taking taylor expansion of (* x y) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in x 0.206 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.206 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.206 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.206 * [taylor]: Taking taylor expansion of -1 in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.206 * [taylor]: Taking taylor expansion of (* x y) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in x 0.206 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.207 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.207 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.207 * [taylor]: Taking taylor expansion of -1 in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.207 * [taylor]: Taking taylor expansion of (* x y) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.208 * [taylor]: Taking taylor expansion of 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 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.222 * * * [progress]: simplifying candidates 0.223 * [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)) 0.228 * * [simplify]: iteration 0 : 236 enodes (cost 404 ) 0.233 * * [simplify]: iteration 1 : 702 enodes (cost 369 ) 0.244 * * [simplify]: iteration 2 : 2284 enodes (cost 367 ) 0.282 * * [simplify]: iteration 3 : 5002 enodes (cost 340 ) 0.284 * [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)) 0.284 * * * [progress]: adding candidates to table 0.454 * * [progress]: iteration 2 / 4 0.454 * * * [progress]: picking best candidate 0.461 * * * * [pick]: Picked # 0.461 * * * [progress]: localizing error 0.472 * * * [progress]: generating rewritten candidates 0.472 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.476 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.476 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.479 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.480 * * * [progress]: generating series expansions 0.480 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.480 * [approximate]: Taking taylor expansion of (log (+ (exp x) 1.0)) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.480 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.480 * [taylor]: Taking taylor expansion of (exp x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.481 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.481 * [taylor]: Taking taylor expansion of (exp x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [approximate]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.498 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.498 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.498 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.498 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [approximate]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in (x) around 0 0.519 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.519 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.519 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.519 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.519 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.543 * [approximate]: Taking taylor expansion of (expm1 (log1p (log (+ (exp x) 1.0)))) in (x) around 0 0.543 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (exp x) 1.0)))) in x 0.543 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (exp x) 1.0)))) 1) 0.543 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (exp x) 1.0)))) in x 0.543 * [taylor]: Taking taylor expansion of (log1p (log (+ (exp x) 1.0))) in x 0.543 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (exp x) 1.0)))) 0.543 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (exp x) 1.0))) in x 0.543 * [taylor]: Taking taylor expansion of 1 in x 0.543 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.543 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.543 * [taylor]: Taking taylor expansion of (exp x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of 1 in x 0.547 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (exp x) 1.0)))) in x 0.547 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (exp x) 1.0)))) 1) 0.547 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (exp x) 1.0)))) in x 0.547 * [taylor]: Taking taylor expansion of (log1p (log (+ (exp x) 1.0))) in x 0.547 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (exp x) 1.0)))) 0.547 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (exp x) 1.0))) in x 0.547 * [taylor]: Taking taylor expansion of 1 in x 0.547 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.547 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.547 * [taylor]: Taking taylor expansion of (exp x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of 1 in x 0.653 * [approximate]: Taking taylor expansion of (expm1 (log1p (log (+ (exp (/ 1 x)) 1.0)))) in (x) around 0 0.653 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (exp (/ 1 x)) 1.0)))) in x 0.653 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (exp (/ 1 x)) 1.0)))) 1) 0.653 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (exp (/ 1 x)) 1.0)))) in x 0.653 * [taylor]: Taking taylor expansion of (log1p (log (+ (exp (/ 1 x)) 1.0))) in x 0.653 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (exp (/ 1 x)) 1.0)))) 0.653 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (exp (/ 1 x)) 1.0))) in x 0.653 * [taylor]: Taking taylor expansion of 1 in x 0.653 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.653 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.653 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of 1 in x 0.654 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (exp (/ 1 x)) 1.0)))) in x 0.654 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (exp (/ 1 x)) 1.0)))) 1) 0.654 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (exp (/ 1 x)) 1.0)))) in x 0.654 * [taylor]: Taking taylor expansion of (log1p (log (+ (exp (/ 1 x)) 1.0))) in x 0.654 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (exp (/ 1 x)) 1.0)))) 0.654 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (exp (/ 1 x)) 1.0))) in x 0.654 * [taylor]: Taking taylor expansion of 1 in x 0.654 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.654 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.654 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of 1 in x 0.711 * [approximate]: Taking taylor expansion of (expm1 (log1p (log (+ (exp (/ -1 x)) 1.0)))) in (x) around 0 0.712 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (exp (/ -1 x)) 1.0)))) in x 0.712 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (exp (/ -1 x)) 1.0)))) 1) 0.712 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (exp (/ -1 x)) 1.0)))) in x 0.712 * [taylor]: Taking taylor expansion of (log1p (log (+ (exp (/ -1 x)) 1.0))) in x 0.712 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (exp (/ -1 x)) 1.0)))) 0.712 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (exp (/ -1 x)) 1.0))) in x 0.712 * [taylor]: Taking taylor expansion of 1 in x 0.712 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.712 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.712 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.712 * [taylor]: Taking taylor expansion of -1 in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [taylor]: Taking taylor expansion of 1 in x 0.713 * [taylor]: Taking taylor expansion of (expm1 (log1p (log (+ (exp (/ -1 x)) 1.0)))) in x 0.713 * [taylor]: Rewrote expression to (- (exp (log1p (log (+ (exp (/ -1 x)) 1.0)))) 1) 0.713 * [taylor]: Taking taylor expansion of (exp (log1p (log (+ (exp (/ -1 x)) 1.0)))) in x 0.713 * [taylor]: Taking taylor expansion of (log1p (log (+ (exp (/ -1 x)) 1.0))) in x 0.713 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (exp (/ -1 x)) 1.0)))) 0.713 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (exp (/ -1 x)) 1.0))) in x 0.713 * [taylor]: Taking taylor expansion of 1 in x 0.713 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.713 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.713 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * [taylor]: Taking taylor expansion of 1 in x 0.766 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.767 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.767 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.767 * [taylor]: Taking taylor expansion of (exp x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.767 * [taylor]: Taking taylor expansion of (exp x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.769 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.769 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.770 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of 1.0 in x 0.775 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.775 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.775 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.775 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.775 * [taylor]: Taking taylor expansion of -1 in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of 1.0 in x 0.775 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.775 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.775 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.775 * [taylor]: Taking taylor expansion of -1 in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of 1.0 in x 0.778 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.778 * [approximate]: Taking taylor expansion of (log1p (log (+ (exp x) 1.0))) in (x) around 0 0.778 * [taylor]: Taking taylor expansion of (log1p (log (+ (exp x) 1.0))) in x 0.778 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (exp x) 1.0)))) 0.778 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (exp x) 1.0))) in x 0.778 * [taylor]: Taking taylor expansion of 1 in x 0.778 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.778 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.778 * [taylor]: Taking taylor expansion of (exp x) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of 1.0 in x 0.780 * [taylor]: Taking taylor expansion of (log1p (log (+ (exp x) 1.0))) in x 0.780 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (exp x) 1.0)))) 0.780 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (exp x) 1.0))) in x 0.780 * [taylor]: Taking taylor expansion of 1 in x 0.780 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.780 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.780 * [taylor]: Taking taylor expansion of (exp x) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of 1.0 in x 0.841 * [approximate]: Taking taylor expansion of (log1p (log (+ (exp (/ 1 x)) 1.0))) in (x) around 0 0.841 * [taylor]: Taking taylor expansion of (log1p (log (+ (exp (/ 1 x)) 1.0))) in x 0.841 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (exp (/ 1 x)) 1.0)))) 0.841 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (exp (/ 1 x)) 1.0))) in x 0.841 * [taylor]: Taking taylor expansion of 1 in x 0.841 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.841 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.841 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [taylor]: Taking taylor expansion of (log1p (log (+ (exp (/ 1 x)) 1.0))) in x 0.842 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (exp (/ 1 x)) 1.0)))) 0.842 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (exp (/ 1 x)) 1.0))) in x 0.842 * [taylor]: Taking taylor expansion of 1 in x 0.842 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.842 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.842 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.886 * [approximate]: Taking taylor expansion of (log1p (log (+ (exp (/ -1 x)) 1.0))) in (x) around 0 0.887 * [taylor]: Taking taylor expansion of (log1p (log (+ (exp (/ -1 x)) 1.0))) in x 0.887 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (exp (/ -1 x)) 1.0)))) 0.887 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (exp (/ -1 x)) 1.0))) in x 0.887 * [taylor]: Taking taylor expansion of 1 in x 0.887 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.887 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.887 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.887 * [taylor]: Taking taylor expansion of -1 in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (log1p (log (+ (exp (/ -1 x)) 1.0))) in x 0.887 * [taylor]: Rewrote expression to (log (+ 1 (log (+ (exp (/ -1 x)) 1.0)))) 0.887 * [taylor]: Taking taylor expansion of (+ 1 (log (+ (exp (/ -1 x)) 1.0))) in x 0.887 * [taylor]: Taking taylor expansion of 1 in x 0.887 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.887 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.888 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.888 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.888 * [taylor]: Taking taylor expansion of -1 in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.928 * * * [progress]: simplifying candidates 0.929 * [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)))) (exp (log1p (log (+ 1.0 (exp x))))) (expm1 (expm1 (log1p (log (+ 1.0 (exp x)))))) (log1p (expm1 (log1p (log (+ 1.0 (exp x)))))) (log (expm1 (log1p (log (+ 1.0 (exp x)))))) (exp (expm1 (log1p (log (+ 1.0 (exp x)))))) (* (cbrt (expm1 (log1p (log (+ 1.0 (exp x)))))) (cbrt (expm1 (log1p (log (+ 1.0 (exp x))))))) (cbrt (expm1 (log1p (log (+ 1.0 (exp x)))))) (* (* (expm1 (log1p (log (+ 1.0 (exp x))))) (expm1 (log1p (log (+ 1.0 (exp x)))))) (expm1 (log1p (log (+ 1.0 (exp x)))))) (sqrt (expm1 (log1p (log (+ 1.0 (exp x)))))) (sqrt (expm1 (log1p (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)) (+ 1 (log (+ 1.0 (exp x)))) (expm1 (log1p (log (+ 1.0 (exp x))))) (log1p (log1p (log (+ 1.0 (exp x))))) (log (log1p (log (+ 1.0 (exp x))))) (exp (log1p (log (+ 1.0 (exp x))))) (* (cbrt (log1p (log (+ 1.0 (exp x))))) (cbrt (log1p (log (+ 1.0 (exp x)))))) (cbrt (log1p (log (+ 1.0 (exp x))))) (* (* (log1p (log (+ 1.0 (exp x)))) (log1p (log (+ 1.0 (exp x))))) (log1p (log (+ 1.0 (exp x))))) (sqrt (log1p (log (+ 1.0 (exp x))))) (sqrt (log1p (log (+ 1.0 (exp x))))) (- (+ (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)) (- (+ (* 0.25 (/ (pow x 2) (+ (log 2.0) 1))) (+ (* 0.25 (/ (* (log 2.0) (pow x 2)) (+ (log 2.0) 1))) (+ (log 2.0) (* 0.5 x)))) (+ (* 1/2 (/ (pow x 2) (* (+ (log 2.0) 1) (pow 2.0 2)))) (* 1/2 (/ (* (log 2.0) (pow x 2)) (* (+ (log 2.0) 1) (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) (- (+ (* 0.5 (/ x (+ (log 2.0) 1))) (+ (* 0.25 (/ (pow x 2) (+ (log 2.0) 1))) (log (+ (log 2.0) 1)))) (+ (* 0.125 (/ (pow x 2) (pow (+ (log 2.0) 1) 2))) (* 1/2 (/ (pow x 2) (* (+ (log 2.0) 1) (pow 2.0 2)))))) (log (+ (log (+ (exp x) 1.0)) 1)) (log (+ (log (+ (exp x) 1.0)) 1)) 0.934 * * [simplify]: iteration 0 : 251 enodes (cost 370 ) 0.938 * * [simplify]: iteration 1 : 777 enodes (cost 332 ) 0.951 * * [simplify]: iteration 2 : 2932 enodes (cost 322 ) 1.005 * * [simplify]: iteration 3 : 5001 enodes (cost 321 ) 1.007 * [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 (+ 1.0 (exp x))) 0 (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)))) (+ 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)))) (+ (log (+ (exp x) 1.0)) 1) (expm1 (log (+ 1.0 (exp x)))) (log1p (log (+ 1.0 (exp x)))) (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 (+ 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)) (+ (log (+ (exp x) 1.0)) 1) (log (+ 1.0 (exp x))) (log1p (log1p (log (+ 1.0 (exp x))))) (log (log1p (log (+ 1.0 (exp x))))) (+ (log (+ (exp x) 1.0)) 1) (* (cbrt (log1p (log (+ 1.0 (exp x))))) (cbrt (log1p (log (+ 1.0 (exp x)))))) (cbrt (log1p (log (+ 1.0 (exp x))))) (pow (log1p (log (+ 1.0 (exp x)))) 3) (sqrt (log1p (log (+ 1.0 (exp x))))) (sqrt (log1p (log (+ 1.0 (exp x))))) (fma (- 1/2) (/ (pow x 2) (pow 2.0 2)) (fma (pow x 2) 0.25 (fma x 0.5 (log 2.0)))) (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))) (+ (- (* (/ (pow x 2) (+ (log 2.0) 1)) (- 0.25 (/ 1/2 (pow 2.0 2)))) (* 1/2 (/ (* (log 2.0) (pow x 2)) (* (+ (log 2.0) 1) (pow 2.0 2))))) (fma (/ (* (log 2.0) (pow x 2)) (+ (log 2.0) 1)) 0.25 (fma x 0.5 (log 2.0)))) (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))) (fma 1/2 (pow x 2) (+ x 2.0)) (+ 1.0 (exp x)) (+ 1.0 (exp x)) (fma (/ 0.5 (+ (log 2.0) 1)) x (+ (- (* (/ (pow x 2) (+ (log 2.0) 1)) (- 0.25 (/ 1/2 (pow 2.0 2)))) (* 0.125 (/ (pow x 2) (pow (+ (log 2.0) 1) 2)))) (log1p (log 2.0)))) (log1p (log (+ 1.0 (exp x)))) (log1p (log (+ 1.0 (exp x)))) 1.007 * * * [progress]: adding candidates to table 1.192 * * [progress]: iteration 3 / 4 1.192 * * * [progress]: picking best candidate 1.197 * * * * [pick]: Picked # 1.197 * * * [progress]: localizing error 1.207 * * * [progress]: generating rewritten candidates 1.207 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.214 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 1.217 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1.222 * * * [progress]: generating series expansions 1.222 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.222 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in (x) around 0 1.222 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 1.222 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 1.222 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.222 * [taylor]: Taking taylor expansion of (exp x) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 1.226 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 1.226 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.226 * [taylor]: Taking taylor expansion of (exp x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.275 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in (x) around 0 1.275 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 1.275 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 1.275 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.275 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 1.276 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 1.276 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.276 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in (x) around 0 1.299 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 1.299 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 1.299 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.299 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.299 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.299 * [taylor]: Taking taylor expansion of -1 in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of 1.0 in x 1.300 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 1.300 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 1.300 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.300 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.300 * [taylor]: Taking taylor expansion of -1 in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.327 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in (x) around 0 1.327 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 1.327 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 1.327 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.327 * [taylor]: Taking taylor expansion of (exp x) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 1.330 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 1.330 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.330 * [taylor]: Taking taylor expansion of (exp x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.376 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in (x) around 0 1.376 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 1.376 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 1.376 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.376 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of 1.0 in x 1.377 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 1.377 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 1.377 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.377 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in (x) around 0 1.401 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 1.401 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 1.401 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.401 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.401 * [taylor]: Taking taylor expansion of -1 in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.404 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 1.404 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 1.404 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.404 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.405 * [taylor]: Taking taylor expansion of -1 in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 1.430 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 1.430 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.430 * [taylor]: Taking taylor expansion of (exp x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.430 * [taylor]: Taking taylor expansion of (exp x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.432 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 1.432 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.432 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of 1.0 in x 1.433 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.433 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.433 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 1.435 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.435 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.435 * [taylor]: Taking taylor expansion of -1 in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.435 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.435 * [taylor]: Taking taylor expansion of -1 in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.437 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 1.437 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.437 * [taylor]: Taking taylor expansion of (exp x) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.438 * [taylor]: Taking taylor expansion of (exp x) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 1.440 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.440 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.440 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.442 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 1.442 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.442 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.443 * [taylor]: Taking taylor expansion of -1 in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of 1.0 in x 1.443 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.443 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.443 * [taylor]: Taking taylor expansion of -1 in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * * * [progress]: simplifying candidates 1.446 * [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) 1.451 * * [simplify]: iteration 0 : 165 enodes (cost 504 ) 1.454 * * [simplify]: iteration 1 : 423 enodes (cost 460 ) 1.461 * * [simplify]: iteration 2 : 1201 enodes (cost 448 ) 1.487 * * [simplify]: iteration 3 : 5002 enodes (cost 438 ) 1.490 * [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)) 1.490 * * * [progress]: adding candidates to table 1.764 * * [progress]: iteration 4 / 4 1.764 * * * [progress]: picking best candidate 1.767 * * * * [pick]: Picked # 1.767 * * * [progress]: localizing error 1.782 * * * [progress]: generating rewritten candidates 1.782 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.798 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.830 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.849 * * * [progress]: generating series expansions 1.849 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.851 * [approximate]: Taking taylor expansion of (- (+ (* 0.25 (pow x 2)) (fma x 0.5 (log 2.0))) (+ (* 1/2 (/ (pow x 2) (pow 2.0 2))) (* x y))) in (x y) around 0 1.851 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (pow x 2)) (fma x 0.5 (log 2.0))) (+ (* 1/2 (/ (pow x 2) (pow 2.0 2))) (* x y))) in y 1.852 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (fma x 0.5 (log 2.0))) in y 1.852 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in y 1.852 * [taylor]: Taking taylor expansion of 0.25 in y 1.852 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.852 * [taylor]: Taking taylor expansion of x in y 1.852 * [taylor]: Taking taylor expansion of (fma x 0.5 (log 2.0)) in y 1.852 * [taylor]: Rewrote expression to (+ (* x 0.5) (log 2.0)) 1.852 * [taylor]: Taking taylor expansion of (* x 0.5) in y 1.852 * [taylor]: Taking taylor expansion of x in y 1.852 * [taylor]: Taking taylor expansion of 0.5 in y 1.852 * [taylor]: Taking taylor expansion of (log 2.0) in y 1.852 * [taylor]: Taking taylor expansion of 2.0 in y 1.852 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow x 2) (pow 2.0 2))) (* x y)) in y 1.852 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 2.0 2))) in y 1.852 * [taylor]: Taking taylor expansion of 1/2 in y 1.852 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 2.0 2)) in y 1.852 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.852 * [taylor]: Taking taylor expansion of x in y 1.852 * [taylor]: Taking taylor expansion of (pow 2.0 2) in y 1.852 * [taylor]: Taking taylor expansion of 2.0 in y 1.853 * [taylor]: Taking taylor expansion of (* x y) in y 1.853 * [taylor]: Taking taylor expansion of x in y 1.853 * [taylor]: Taking taylor expansion of y in y 1.853 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (pow x 2)) (fma x 0.5 (log 2.0))) (+ (* 1/2 (/ (pow x 2) (pow 2.0 2))) (* x y))) in x 1.853 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (fma x 0.5 (log 2.0))) in x 1.853 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 1.853 * [taylor]: Taking taylor expansion of 0.25 in x 1.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of (fma x 0.5 (log 2.0)) in x 1.853 * [taylor]: Rewrote expression to (+ (* x 0.5) (log 2.0)) 1.853 * [taylor]: Taking taylor expansion of (* x 0.5) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of 0.5 in x 1.853 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.853 * [taylor]: Taking taylor expansion of 2.0 in x 1.853 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow x 2) (pow 2.0 2))) (* x y)) in x 1.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 2.0 2))) in x 1.853 * [taylor]: Taking taylor expansion of 1/2 in x 1.853 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 2.0 2)) in x 1.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of (pow 2.0 2) in x 1.854 * [taylor]: Taking taylor expansion of 2.0 in x 1.854 * [taylor]: Taking taylor expansion of (* x y) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.854 * [taylor]: Taking taylor expansion of y in x 1.854 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (pow x 2)) (fma x 0.5 (log 2.0))) (+ (* 1/2 (/ (pow x 2) (pow 2.0 2))) (* x y))) in x 1.854 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (fma x 0.5 (log 2.0))) in x 1.854 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 1.854 * [taylor]: Taking taylor expansion of 0.25 in x 1.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.854 * [taylor]: Taking taylor expansion of (fma x 0.5 (log 2.0)) in x 1.855 * [taylor]: Rewrote expression to (+ (* x 0.5) (log 2.0)) 1.855 * [taylor]: Taking taylor expansion of (* x 0.5) in x 1.855 * [taylor]: Taking taylor expansion of x in x 1.855 * [taylor]: Taking taylor expansion of 0.5 in x 1.855 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.855 * [taylor]: Taking taylor expansion of 2.0 in x 1.855 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow x 2) (pow 2.0 2))) (* x y)) in x 1.855 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 2.0 2))) in x 1.855 * [taylor]: Taking taylor expansion of 1/2 in x 1.855 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 2.0 2)) in x 1.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.855 * [taylor]: Taking taylor expansion of x in x 1.855 * [taylor]: Taking taylor expansion of (pow 2.0 2) in x 1.855 * [taylor]: Taking taylor expansion of 2.0 in x 1.856 * [taylor]: Taking taylor expansion of (* x y) in x 1.856 * [taylor]: Taking taylor expansion of x in x 1.856 * [taylor]: Taking taylor expansion of y in x 1.858 * [taylor]: Taking taylor expansion of (log 2.0) in y 1.858 * [taylor]: Taking taylor expansion of 2.0 in y 1.861 * [taylor]: Taking taylor expansion of (- 0.5 y) in y 1.862 * [taylor]: Taking taylor expansion of 0.5 in y 1.862 * [taylor]: Taking taylor expansion of y in y 1.867 * [taylor]: Taking taylor expansion of 0.125 in y 1.870 * [approximate]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ 1 x) 0.5 (log 2.0))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y)))) in (x y) around 0 1.870 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ 1 x) 0.5 (log 2.0))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y)))) in y 1.870 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ 1 x) 0.5 (log 2.0))) in y 1.870 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in y 1.870 * [taylor]: Taking taylor expansion of 0.25 in y 1.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.870 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.870 * [taylor]: Taking taylor expansion of x in y 1.870 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 0.5 (log 2.0)) in y 1.870 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 0.5) (log 2.0)) 1.870 * [taylor]: Taking taylor expansion of (* (/ 1 x) 0.5) in y 1.870 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.870 * [taylor]: Taking taylor expansion of x in y 1.870 * [taylor]: Taking taylor expansion of 0.5 in y 1.870 * [taylor]: Taking taylor expansion of (log 2.0) in y 1.870 * [taylor]: Taking taylor expansion of 2.0 in y 1.871 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y))) in y 1.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) in y 1.871 * [taylor]: Taking taylor expansion of 1/2 in y 1.871 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 2.0 2))) in y 1.871 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 2.0 2)) in y 1.871 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.871 * [taylor]: Taking taylor expansion of x in y 1.871 * [taylor]: Taking taylor expansion of (pow 2.0 2) in y 1.871 * [taylor]: Taking taylor expansion of 2.0 in y 1.871 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.871 * [taylor]: Taking taylor expansion of (* x y) in y 1.871 * [taylor]: Taking taylor expansion of x in y 1.871 * [taylor]: Taking taylor expansion of y in y 1.872 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ 1 x) 0.5 (log 2.0))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y)))) in x 1.872 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ 1 x) 0.5 (log 2.0))) in x 1.872 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.872 * [taylor]: Taking taylor expansion of 0.25 in x 1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.872 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 0.5 (log 2.0)) in x 1.872 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 0.5) (log 2.0)) 1.872 * [taylor]: Taking taylor expansion of (* (/ 1 x) 0.5) in x 1.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.873 * [taylor]: Taking taylor expansion of 0.5 in x 1.873 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.873 * [taylor]: Taking taylor expansion of 2.0 in x 1.873 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y))) in x 1.873 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) in x 1.873 * [taylor]: Taking taylor expansion of 1/2 in x 1.873 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 2.0 2))) in x 1.873 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 2.0 2)) in x 1.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.873 * [taylor]: Taking taylor expansion of (pow 2.0 2) in x 1.873 * [taylor]: Taking taylor expansion of 2.0 in x 1.874 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.874 * [taylor]: Taking taylor expansion of (* x y) in x 1.874 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of y in x 1.875 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ 1 x) 0.5 (log 2.0))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y)))) in x 1.875 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ 1 x) 0.5 (log 2.0))) in x 1.875 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.875 * [taylor]: Taking taylor expansion of 0.25 in x 1.875 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.875 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.875 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 0.5 (log 2.0)) in x 1.875 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 0.5) (log 2.0)) 1.875 * [taylor]: Taking taylor expansion of (* (/ 1 x) 0.5) in x 1.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.876 * [taylor]: Taking taylor expansion of 0.5 in x 1.876 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.876 * [taylor]: Taking taylor expansion of 2.0 in x 1.876 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y))) in x 1.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) in x 1.876 * [taylor]: Taking taylor expansion of 1/2 in x 1.876 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 2.0 2))) in x 1.876 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 2.0 2)) in x 1.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.876 * [taylor]: Taking taylor expansion of (pow 2.0 2) in x 1.876 * [taylor]: Taking taylor expansion of 2.0 in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.877 * [taylor]: Taking taylor expansion of (* x y) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.877 * [taylor]: Taking taylor expansion of y in x 1.879 * [taylor]: Taking taylor expansion of 0.125 in y 1.883 * [taylor]: Taking taylor expansion of (- 0.5 (/ 1 y)) in y 1.883 * [taylor]: Taking taylor expansion of 0.5 in y 1.883 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.883 * [taylor]: Taking taylor expansion of y in y 1.891 * [taylor]: Taking taylor expansion of (log 2.0) in y 1.891 * [taylor]: Taking taylor expansion of 2.0 in y 1.894 * [approximate]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ -1 x) 0.5 (log 2.0))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y)))) in (x y) around 0 1.895 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ -1 x) 0.5 (log 2.0))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y)))) in y 1.895 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ -1 x) 0.5 (log 2.0))) in y 1.895 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in y 1.895 * [taylor]: Taking taylor expansion of 0.25 in y 1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.895 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.895 * [taylor]: Taking taylor expansion of x in y 1.895 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 0.5 (log 2.0)) in y 1.895 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 0.5) (log 2.0)) 1.895 * [taylor]: Taking taylor expansion of (* (/ -1 x) 0.5) in y 1.895 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.895 * [taylor]: Taking taylor expansion of -1 in y 1.895 * [taylor]: Taking taylor expansion of x in y 1.895 * [taylor]: Taking taylor expansion of 0.5 in y 1.895 * [taylor]: Taking taylor expansion of (log 2.0) in y 1.895 * [taylor]: Taking taylor expansion of 2.0 in y 1.895 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y))) in y 1.895 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) in y 1.895 * [taylor]: Taking taylor expansion of 1/2 in y 1.895 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 2.0 2))) in y 1.895 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 2.0 2)) in y 1.895 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.895 * [taylor]: Taking taylor expansion of x in y 1.895 * [taylor]: Taking taylor expansion of (pow 2.0 2) in y 1.895 * [taylor]: Taking taylor expansion of 2.0 in y 1.896 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.896 * [taylor]: Taking taylor expansion of (* x y) in y 1.896 * [taylor]: Taking taylor expansion of x in y 1.896 * [taylor]: Taking taylor expansion of y in y 1.896 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ -1 x) 0.5 (log 2.0))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y)))) in x 1.896 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ -1 x) 0.5 (log 2.0))) in x 1.896 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.896 * [taylor]: Taking taylor expansion of 0.25 in x 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.897 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 0.5 (log 2.0)) in x 1.897 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 0.5) (log 2.0)) 1.897 * [taylor]: Taking taylor expansion of (* (/ -1 x) 0.5) in x 1.897 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.897 * [taylor]: Taking taylor expansion of -1 in x 1.897 * [taylor]: Taking taylor expansion of x in x 1.897 * [taylor]: Taking taylor expansion of 0.5 in x 1.897 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.897 * [taylor]: Taking taylor expansion of 2.0 in x 1.898 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y))) in x 1.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) in x 1.898 * [taylor]: Taking taylor expansion of 1/2 in x 1.898 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 2.0 2))) in x 1.898 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 2.0 2)) in x 1.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [taylor]: Taking taylor expansion of (pow 2.0 2) in x 1.898 * [taylor]: Taking taylor expansion of 2.0 in x 1.899 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.899 * [taylor]: Taking taylor expansion of (* x y) in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.899 * [taylor]: Taking taylor expansion of y in x 1.899 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ -1 x) 0.5 (log 2.0))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y)))) in x 1.899 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ -1 x) 0.5 (log 2.0))) in x 1.899 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.899 * [taylor]: Taking taylor expansion of 0.25 in x 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.900 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 0.5 (log 2.0)) in x 1.900 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 0.5) (log 2.0)) 1.900 * [taylor]: Taking taylor expansion of (* (/ -1 x) 0.5) in x 1.900 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.900 * [taylor]: Taking taylor expansion of -1 in x 1.900 * [taylor]: Taking taylor expansion of x in x 1.900 * [taylor]: Taking taylor expansion of 0.5 in x 1.900 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.900 * [taylor]: Taking taylor expansion of 2.0 in x 1.901 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) (/ 1 (* x y))) in x 1.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) in x 1.901 * [taylor]: Taking taylor expansion of 1/2 in x 1.901 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 2.0 2))) in x 1.901 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 2.0 2)) in x 1.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.901 * [taylor]: Taking taylor expansion of (pow 2.0 2) in x 1.901 * [taylor]: Taking taylor expansion of 2.0 in x 1.902 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.902 * [taylor]: Taking taylor expansion of (* x y) in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of y in x 1.911 * [taylor]: Taking taylor expansion of 0.125 in y 1.916 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 0.5)) in y 1.916 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in y 1.916 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.916 * [taylor]: Taking taylor expansion of y in y 1.916 * [taylor]: Taking taylor expansion of 0.5 in y 1.924 * [taylor]: Taking taylor expansion of (log 2.0) in y 1.925 * [taylor]: Taking taylor expansion of 2.0 in y 1.927 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.928 * [approximate]: Taking taylor expansion of (- (+ (* 0.25 (pow x 2)) (fma x 0.5 (log 2.0))) (* 1/2 (/ (pow x 2) (pow 2.0 2)))) in (x) around 0 1.928 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (pow x 2)) (fma x 0.5 (log 2.0))) (* 1/2 (/ (pow x 2) (pow 2.0 2)))) in x 1.928 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (fma x 0.5 (log 2.0))) in x 1.928 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 1.928 * [taylor]: Taking taylor expansion of 0.25 in x 1.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [taylor]: Taking taylor expansion of (fma x 0.5 (log 2.0)) in x 1.929 * [taylor]: Rewrote expression to (+ (* x 0.5) (log 2.0)) 1.929 * [taylor]: Taking taylor expansion of (* x 0.5) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.929 * [taylor]: Taking taylor expansion of 0.5 in x 1.929 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.929 * [taylor]: Taking taylor expansion of 2.0 in x 1.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 2.0 2))) in x 1.929 * [taylor]: Taking taylor expansion of 1/2 in x 1.929 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 2.0 2)) in x 1.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.929 * [taylor]: Taking taylor expansion of (pow 2.0 2) in x 1.929 * [taylor]: Taking taylor expansion of 2.0 in x 1.930 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (pow x 2)) (fma x 0.5 (log 2.0))) (* 1/2 (/ (pow x 2) (pow 2.0 2)))) in x 1.930 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (fma x 0.5 (log 2.0))) in x 1.930 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 1.930 * [taylor]: Taking taylor expansion of 0.25 in x 1.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of (fma x 0.5 (log 2.0)) in x 1.930 * [taylor]: Rewrote expression to (+ (* x 0.5) (log 2.0)) 1.930 * [taylor]: Taking taylor expansion of (* x 0.5) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of 0.5 in x 1.930 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.930 * [taylor]: Taking taylor expansion of 2.0 in x 1.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 2.0 2))) in x 1.931 * [taylor]: Taking taylor expansion of 1/2 in x 1.931 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 2.0 2)) in x 1.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of (pow 2.0 2) in x 1.931 * [taylor]: Taking taylor expansion of 2.0 in x 1.942 * [approximate]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ 1 x) 0.5 (log 2.0))) (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2))))) in (x) around 0 1.942 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ 1 x) 0.5 (log 2.0))) (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2))))) in x 1.942 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ 1 x) 0.5 (log 2.0))) in x 1.943 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.943 * [taylor]: Taking taylor expansion of 0.25 in x 1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.943 * [taylor]: Taking taylor expansion of x in x 1.943 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 0.5 (log 2.0)) in x 1.943 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 0.5) (log 2.0)) 1.943 * [taylor]: Taking taylor expansion of (* (/ 1 x) 0.5) in x 1.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.943 * [taylor]: Taking taylor expansion of x in x 1.944 * [taylor]: Taking taylor expansion of 0.5 in x 1.944 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.944 * [taylor]: Taking taylor expansion of 2.0 in x 1.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) in x 1.944 * [taylor]: Taking taylor expansion of 1/2 in x 1.944 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 2.0 2))) in x 1.944 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 2.0 2)) in x 1.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.944 * [taylor]: Taking taylor expansion of x in x 1.944 * [taylor]: Taking taylor expansion of (pow 2.0 2) in x 1.944 * [taylor]: Taking taylor expansion of 2.0 in x 1.945 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ 1 x) 0.5 (log 2.0))) (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2))))) in x 1.945 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ 1 x) 0.5 (log 2.0))) in x 1.945 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.945 * [taylor]: Taking taylor expansion of 0.25 in x 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.945 * [taylor]: Taking taylor expansion of x in x 1.946 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 0.5 (log 2.0)) in x 1.946 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 0.5) (log 2.0)) 1.946 * [taylor]: Taking taylor expansion of (* (/ 1 x) 0.5) in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.946 * [taylor]: Taking taylor expansion of 0.5 in x 1.946 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.946 * [taylor]: Taking taylor expansion of 2.0 in x 1.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) in x 1.946 * [taylor]: Taking taylor expansion of 1/2 in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 2.0 2))) in x 1.946 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 2.0 2)) in x 1.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.947 * [taylor]: Taking taylor expansion of (pow 2.0 2) in x 1.947 * [taylor]: Taking taylor expansion of 2.0 in x 1.962 * [approximate]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ -1 x) 0.5 (log 2.0))) (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2))))) in (x) around 0 1.962 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ -1 x) 0.5 (log 2.0))) (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2))))) in x 1.962 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ -1 x) 0.5 (log 2.0))) in x 1.962 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.962 * [taylor]: Taking taylor expansion of 0.25 in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 0.5 (log 2.0)) in x 1.963 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 0.5) (log 2.0)) 1.963 * [taylor]: Taking taylor expansion of (* (/ -1 x) 0.5) in x 1.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.963 * [taylor]: Taking taylor expansion of -1 in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of 0.5 in x 1.964 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.964 * [taylor]: Taking taylor expansion of 2.0 in x 1.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) in x 1.964 * [taylor]: Taking taylor expansion of 1/2 in x 1.964 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 2.0 2))) in x 1.964 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 2.0 2)) in x 1.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.964 * [taylor]: Taking taylor expansion of x in x 1.964 * [taylor]: Taking taylor expansion of (pow 2.0 2) in x 1.964 * [taylor]: Taking taylor expansion of 2.0 in x 1.965 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ -1 x) 0.5 (log 2.0))) (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2))))) in x 1.965 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (fma (/ -1 x) 0.5 (log 2.0))) in x 1.965 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 1.965 * [taylor]: Taking taylor expansion of 0.25 in x 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 0.5 (log 2.0)) in x 1.966 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 0.5) (log 2.0)) 1.966 * [taylor]: Taking taylor expansion of (* (/ -1 x) 0.5) in x 1.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.966 * [taylor]: Taking taylor expansion of -1 in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of 0.5 in x 1.966 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.966 * [taylor]: Taking taylor expansion of 2.0 in x 1.966 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 2.0 2)))) in x 1.966 * [taylor]: Taking taylor expansion of 1/2 in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 2.0 2))) in x 1.966 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 2.0 2)) in x 1.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of (pow 2.0 2) in x 1.967 * [taylor]: Taking taylor expansion of 2.0 in x 1.982 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.983 * [approximate]: Taking taylor expansion of (fma x 0.5 (log 2.0)) in (x) around 0 1.983 * [taylor]: Taking taylor expansion of (fma x 0.5 (log 2.0)) in x 1.983 * [taylor]: Rewrote expression to (+ (* x 0.5) (log 2.0)) 1.983 * [taylor]: Taking taylor expansion of (* x 0.5) in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.983 * [taylor]: Taking taylor expansion of 0.5 in x 1.983 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.983 * [taylor]: Taking taylor expansion of 2.0 in x 1.983 * [taylor]: Taking taylor expansion of (fma x 0.5 (log 2.0)) in x 1.983 * [taylor]: Rewrote expression to (+ (* x 0.5) (log 2.0)) 1.983 * [taylor]: Taking taylor expansion of (* x 0.5) in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.983 * [taylor]: Taking taylor expansion of 0.5 in x 1.983 * [taylor]: Taking taylor expansion of (log 2.0) in x 1.983 * [taylor]: Taking taylor expansion of 2.0 in x 2.054 * [approximate]: Taking taylor expansion of (fma (/ 1 x) 0.5 (log 2.0)) in (x) around 0 2.054 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 0.5 (log 2.0)) in x 2.054 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 0.5) (log 2.0)) 2.054 * [taylor]: Taking taylor expansion of (* (/ 1 x) 0.5) in x 2.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of 0.5 in x 2.055 * [taylor]: Taking taylor expansion of (log 2.0) in x 2.055 * [taylor]: Taking taylor expansion of 2.0 in x 2.055 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 0.5 (log 2.0)) in x 2.055 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 0.5) (log 2.0)) 2.055 * [taylor]: Taking taylor expansion of (* (/ 1 x) 0.5) in x 2.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of 0.5 in x 2.055 * [taylor]: Taking taylor expansion of (log 2.0) in x 2.055 * [taylor]: Taking taylor expansion of 2.0 in x 2.106 * [approximate]: Taking taylor expansion of (fma (/ -1 x) 0.5 (log 2.0)) in (x) around 0 2.106 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 0.5 (log 2.0)) in x 2.106 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 0.5) (log 2.0)) 2.106 * [taylor]: Taking taylor expansion of (* (/ -1 x) 0.5) in x 2.106 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.106 * [taylor]: Taking taylor expansion of -1 in x 2.106 * [taylor]: Taking taylor expansion of x in x 2.106 * [taylor]: Taking taylor expansion of 0.5 in x 2.106 * [taylor]: Taking taylor expansion of (log 2.0) in x 2.106 * [taylor]: Taking taylor expansion of 2.0 in x 2.107 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 0.5 (log 2.0)) in x 2.107 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 0.5) (log 2.0)) 2.107 * [taylor]: Taking taylor expansion of (* (/ -1 x) 0.5) in x 2.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.107 * [taylor]: Taking taylor expansion of -1 in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [taylor]: Taking taylor expansion of 0.5 in x 2.107 * [taylor]: Taking taylor expansion of (log 2.0) in x 2.107 * [taylor]: Taking taylor expansion of 2.0 in x 2.157 * * * [progress]: simplifying candidates 2.162 * [simplify]: Simplifying using # : (fma (* (cbrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (cbrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))))) (cbrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (- (* y x))) (fma (- y) x (* y x)) (fma (sqrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (sqrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (- (* y x))) (fma (- y) x (* y x)) (fma 1 (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (- (* y x))) (fma (- y) x (* y x)) (expm1 (- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))) (log1p (- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))) (- (* x y)) (- (* x y)) (- (* x y)) (/ (* (exp (fma x 0.5 (log 2.0))) (exp (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (exp (* x y))) (/ (exp (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (exp (* x y))) (log (- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))) (exp (- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))) (* (cbrt (- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))) (cbrt (- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y)))) (cbrt (- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))) (* (* (- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y)) (- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))) (- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))) (sqrt (- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))) (sqrt (- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))) (- (pow (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) 3) (pow (* x y) 3)) (+ (* (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (+ (* (* x y) (* x y)) (* (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y)))) (- (* x y)) (- (* (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (* (* x y) (* x y))) (+ (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y)) (- (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))) (* x y)) (- (* x y)) (expm1 (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (log1p (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (* (exp (fma x 0.5 (log 2.0))) (exp (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (log (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (exp (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (* (cbrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (cbrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))))) (cbrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (* (* (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (sqrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (sqrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (+ (pow (fma x 0.5 (log 2.0)) 3) (pow (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))) 3)) (+ (* (fma x 0.5 (log 2.0)) (fma x 0.5 (log 2.0))) (- (* (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))))) (- (* (fma x 0.5 (log 2.0)) (fma x 0.5 (log 2.0))) (* (* (pow x 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(fma x 0.5 (log 2.0))) (sqrt (fma x 0.5 (log 2.0))) (+ (log 2.0) (+ (* 0.125 (pow x 2)) (* 0.5 x))) (- (+ (* 0.125 (pow x 2)) (* 0.5 x)) (* x y)) (- (+ (* 0.125 (pow x 2)) (* 0.5 x)) (* x y)) (+ (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))) (+ (log 2.0) (* 0.5 x)) (+ (log 2.0) (* 0.5 x)) (+ (log 2.0) (* 0.5 x)) 2.182 * * [simplify]: iteration 0 : 1276 enodes (cost 3322 ) 2.199 * * [simplify]: iteration 1 : 4558 enodes (cost 2635 ) 2.240 * * [simplify]: iteration 2 : 5001 enodes (cost 2632 ) 2.251 * [simplify]: Simplified to: (fma (* (cbrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (cbrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))))) (cbrt (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))) (- (* y x))) (fma (- y) x (* y x)) (- (fma (- 0.25 (/ 1/2 (pow 2.0 2))) (pow x 2) (fma x 0.5 (log 2.0))) (* y x)) (fma (- y) x (* y x)) 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0.25 (- (* (/ 1/2 (cbrt (pow 2.0 2))) (/ 1 (* (cbrt (pow 2.0 2)) (cbrt (pow 2.0 2))))))) (pow x 2) (fma x 0.5 (log 2.0))) (fma (fma 1 0.25 (- (* (/ 1/2 (sqrt (pow 2.0 2))) (/ 1 (sqrt (pow 2.0 2)))))) (pow x 2) (fma x 0.5 (log 2.0))) (fma (- 0.25 (/ 1/2 (pow 2.0 2))) (pow x 2) (fma x 0.5 (log 2.0))) (fma (- 0.25 (/ 1/2 (pow 2.0 2))) (pow x 2) (fma x 0.5 (log 2.0))) (fma (- 0.25 (/ 1/2 (pow 2.0 2))) (pow x 2) (fma x 0.5 (log 2.0))) (fma (- 0.25 (/ 1/2 (pow 2.0 2))) (pow x 2) (fma x 0.5 (log 2.0))) (fma 0.25 (pow x 2) (fma x 0.5 (log 2.0))) (fma 0.25 (pow x 2) (fma x 0.5 (log 2.0))) (fma (- 0.25 (/ 1/2 (pow 2.0 2))) (pow x 2) (log 2.0)) (expm1 (fma x 0.5 (log 2.0))) (log1p (fma x 0.5 (log 2.0))) (* x 0.5) (log (fma x 0.5 (log 2.0))) (exp (fma x 0.5 (log 2.0))) (* (cbrt (fma x 0.5 (log 2.0))) (cbrt (fma x 0.5 (log 2.0)))) (cbrt (fma x 0.5 (log 2.0))) (pow (fma x 0.5 (log 2.0)) 3) (sqrt (fma x 0.5 (log 2.0))) (sqrt (fma x 0.5 (log 2.0))) (+ (fma 0.125 (pow x 2) (* 0.5 x)) (log 2.0)) (fma (pow x 2) 0.125 (- (* 0.5 x) (* x y))) (fma (pow x 2) 0.125 (- (* 0.5 x) (* x y))) (+ (fma 0.125 (pow x 2) (* 0.5 x)) (log 2.0)) (+ (fma 0.125 (pow x 2) (* 0.5 x)) (log 2.0)) (+ (fma 0.125 (pow x 2) (* 0.5 x)) (log 2.0)) (fma x 0.5 (log 2.0)) (fma x 0.5 (log 2.0)) (fma x 0.5 (log 2.0)) 2.252 * * * [progress]: adding candidates to table 3.124 * [progress]: [Phase 3 of 3] Extracting. 3.124 * * [regime]: Finding splitpoints for: (# # #) 3.124 * * * [regime-changes]: Trying 2 branch expressions: (y x) 3.125 * * * * [regimes]: Trying to branch on y from (# # #) 3.144 * * * * [regimes]: Trying to branch on x from (# # #) 3.160 * * * [regime]: Found split indices: #