11.107 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying using # : (- (log (+ 1.0 (exp x))) (* x y)) 0.042 * * [simplify]: iteration 0 : 12 enodes (cost 5 ) 0.043 * * [simplify]: iteration 1 : 19 enodes (cost 5 ) 0.044 * * [simplify]: iteration 2 : 19 enodes (cost 5 ) 0.045 * [simplify]: Simplified to: (- (log (+ 1.0 (exp x))) (* x y)) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.059 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.064 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.068 * [approximate]: Approximating (log (+ (exp x) 1.0)) in (x) around 0 0.091 * [approximate]: Approximating (log (+ (exp (/ 1 x)) 1.0)) in (x) around 0 0.121 * [approximate]: Approximating (log (+ (exp (/ -1 x)) 1.0)) in (x) around 0 0.146 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.147 * [approximate]: Approximating (- (log (+ (exp x) 1.0)) (* x y)) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 0.155 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 0.170 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 0.173 * [approximate]: Approximating (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 0.177 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 0.181 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 0.191 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 0.199 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 0.199 * [approximate]: Approximating (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 0.203 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 0.207 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 0.212 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 0.219 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 0.219 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.219 * [approximate]: Approximating (+ (exp x) 1.0) in (x) around 0 0.223 * [approximate]: Approximating (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.226 * [approximate]: Approximating (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.229 * * * [progress]: simplifying candidates 0.229 * [simplify]: Simplifying using # : (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)))) (/ (+ 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)))) (neg (* 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)) (neg (* x y)) (* (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)) (- (+ (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)) (+ (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)) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (exp x) 1.0) (+ (exp x) 1.0) 0.233 * * [simplify]: iteration 0 : 207 enodes (cost 322 ) 0.236 * * [simplify]: iteration 1 : 584 enodes (cost 301 ) 0.245 * * [simplify]: iteration 2 : 1729 enodes (cost 298 ) 0.273 * * [simplify]: iteration 3 : 5001 enodes (cost 297 ) 0.275 * [simplify]: Simplified to: (* 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)))) (/ (+ 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)) (+ (* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y))) (* (* x y) (* x y))) (neg (* 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 (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)) (+ (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (* x y)) (+ (log (- 1.0 (exp x))) (* x y)) (neg (* x y)) (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)) (+ (* (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 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (log (+ (exp x) 1.0)) (log (+ (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)) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ 1.0 (exp x)) (+ 1.0 (exp x)) 0.275 * * * [progress]: adding candidates to table 0.414 * * [progress]: iteration 2 / 4 0.414 * * * [progress]: picking best candidate 0.422 * * * * [pick]: Picked # 0.422 * * * [progress]: localizing error 0.432 * * * [progress]: generating rewritten candidates 0.432 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.436 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.442 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.454 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.460 * * * [progress]: generating series expansions 0.460 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.460 * [approximate]: Approximating (log (sqrt (+ (exp x) 1.0))) in (x) around 0 0.526 * [approximate]: Approximating (log (sqrt (+ (exp (/ 1 x)) 1.0))) in (x) around 0 0.555 * [approximate]: Approximating (log (sqrt (+ (exp (/ -1 x)) 1.0))) in (x) around 0 0.584 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.585 * [approximate]: Approximating (log (sqrt (+ (exp x) 1.0))) in (x) around 0 0.650 * [approximate]: Approximating (log (sqrt (+ (exp (/ 1 x)) 1.0))) in (x) around 0 0.685 * [approximate]: Approximating (log (sqrt (+ (exp (/ -1 x)) 1.0))) in (x) around 0 0.714 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.714 * [approximate]: Approximating (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) in (x y) around 0 0.726 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) in y 0.742 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) in y 0.804 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) in y 0.836 * [approximate]: Approximating (- (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) (/ 1 (* x y))) in (x y) around 0 0.846 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) (/ 1 (* x y))) in y 0.848 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) (/ 1 (* x y))) in y 0.853 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) (/ 1 (* x y))) in y 0.859 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) (/ 1 (* x y))) in y 0.868 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ 1 x)) 1.0)))) (/ 1 (* x y))) in y 0.869 * [approximate]: Approximating (- (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) (/ 1 (* x y))) in (x y) around 0 0.873 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) (/ 1 (* x y))) in y 0.875 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) (/ 1 (* x y))) in y 0.880 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) (/ 1 (* x y))) in y 0.886 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) (/ 1 (* x y))) in y 0.895 * [taylor]: Taking taylor expansion of (- (* 2 (log (sqrt (+ (exp (/ -1 x)) 1.0)))) (/ 1 (* x y))) in y 0.895 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.895 * [approximate]: Approximating (sqrt (+ (exp x) 1.0)) in (x) around 0 0.919 * [approximate]: Approximating (sqrt (+ (exp (/ 1 x)) 1.0)) in (x) around 0 0.931 * [approximate]: Approximating (sqrt (+ (exp (/ -1 x)) 1.0)) in (x) around 0 0.938 * * * [progress]: simplifying candidates 0.939 * [simplify]: Simplifying using # : (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))))) (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))))) (/ (* (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x)))) (exp (* x y))) (/ (exp (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x)))))) (exp (* x y))) (log (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (exp (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (* (cbrt (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (cbrt (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y)))) (cbrt (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (* (* (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y)) (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (sqrt (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (sqrt (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (- (pow (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) 3) (pow (* x y) 3)) (+ (* (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x)))))) (+ (* (* x y) (* x y)) (* (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y)))) (neg (* x y)) (- (* (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x)))))) (* (* x y) (* x y))) (+ (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y)) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)) (+ (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (* x y)) (+ (log (sqrt (- 1.0 (exp x)))) (* x y)) (+ (- (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (+ 1.0 (exp x))))) (* x y)) (+ (- (log (sqrt (- 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y)) (neg (* x y)) (log (sqrt (+ 1.0 (exp x)))) (exp (sqrt (+ 1.0 (exp x)))) (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x))))) (cbrt (sqrt (+ 1.0 (exp x)))) (* (* (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x)))) (sqrt (+ 1.0 (exp x)))) (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x))))) (sqrt (cbrt (+ 1.0 (exp x)))) (sqrt (sqrt (+ 1.0 (exp x)))) (sqrt (sqrt (+ 1.0 (exp x)))) (sqrt 1) (sqrt (+ 1.0 (exp x))) (sqrt 1) (sqrt (+ 1.0 (exp x))) (sqrt (+ (pow 1.0 3) (pow (exp x) 3))) (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (sqrt (- (* 1.0 1.0) (* (exp x) (exp x)))) (sqrt (- 1.0 (exp x))) (/ 1 2) (sqrt (sqrt (+ 1.0 (exp x)))) (sqrt (sqrt (+ 1.0 (exp x)))) (- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 2))) (+ (* 1/2 (/ x (pow (sqrt 2.0) 2))) (log (sqrt 2.0)))) (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 4)))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 2))) (+ (* 1/2 (/ x (pow (sqrt 2.0) 2))) (log (sqrt 2.0)))) (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 4)))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (pow (sqrt 2.0) 2))) (+ (/ x (pow (sqrt 2.0) 2)) (* 2 (log (sqrt 2.0))))) (* 1/2 (/ (pow x 2) (pow (sqrt 2.0) 4)))) (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) (- (* 2 (log (sqrt (+ (exp x) 1.0)))) (* x y)) (- (+ (* 1/4 (/ (pow x 2) (sqrt 2.0))) (+ (sqrt 2.0) (* 1/2 (/ x (sqrt 2.0))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2.0) 3)))) (sqrt (+ (exp x) 1.0)) (sqrt (+ (exp x) 1.0)) 0.944 * * [simplify]: iteration 0 : 279 enodes (cost 765 ) 0.949 * * [simplify]: iteration 1 : 942 enodes (cost 663 ) 0.965 * * [simplify]: iteration 2 : 3612 enodes (cost 627 ) 1.042 * * [simplify]: iteration 3 : 5001 enodes (cost 617 ) 1.045 * [simplify]: Simplified to: (* 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))))) (* 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))))) (* (+ 1.0 (exp x)) (exp (neg (* x y)))) (* (+ 1.0 (exp x)) (exp (neg (* x y)))) (log (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (* (+ 1.0 (exp x)) (exp (neg (* x y)))) (* (cbrt (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (cbrt (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y)))) (cbrt (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (pow (+ (neg (* x y)) (log (+ 1.0 (exp x)))) 3) (sqrt (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (sqrt (- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))) (+ (neg (pow (* x y) 3)) (pow (log (+ 1.0 (exp x))) 3)) (+ (* (* x y) (* x y)) (* (log (sqrt (+ (exp x) 1.0))) (* 2 (+ (* x y) (log (+ 1.0 (exp x))))))) (neg (* x y)) (* (+ (neg (* x y)) (log (+ 1.0 (exp x)))) (+ (* x y) (log (+ 1.0 (exp x))))) (+ (* x y) (log (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)) (+ (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (* x y)) (+ (log (sqrt (- 1.0 (exp x)))) (* x y)) (+ (- (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (+ 1.0 (exp x))))) (* x y)) (+ (- (log (sqrt (- 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y)) (neg (* x y)) (log (sqrt (+ (exp x) 1.0))) (exp (sqrt (+ 1.0 (exp x)))) (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x))))) (cbrt (sqrt (+ 1.0 (exp x)))) (pow (sqrt (+ 1.0 (exp x))) 3) (fabs (cbrt (+ 1.0 (exp x)))) (sqrt (cbrt (+ 1.0 (exp x)))) (sqrt (sqrt (+ 1.0 (exp x)))) (sqrt (sqrt (+ 1.0 (exp x)))) 1 (sqrt (+ 1.0 (exp x))) 1 (sqrt (+ 1.0 (exp x))) (sqrt (+ (pow 1.0 3) (pow (exp x) 3))) (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (sqrt (- (* 1.0 1.0) (* (exp x) (exp x)))) (sqrt (- 1.0 (exp x))) 1/2 (sqrt (sqrt (+ 1.0 (exp x)))) (sqrt (sqrt (+ 1.0 (exp x)))) (+ (log (sqrt 2.0)) (+ (/ (* x 1/2) 2.0) (* (/ x (/ 2.0 x)) (- 1/4 (/ 1/4 2.0))))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (+ (log (sqrt 2.0)) (+ (/ (* x 1/2) 2.0) (* (/ x (/ 2.0 x)) (- 1/4 (/ 1/4 2.0))))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (+ (* 2 (log (sqrt 2.0))) (+ (/ x 2.0) (* (/ x (/ 2.0 x)) (- 1/2 (/ 1/2 2.0))))) (+ (neg (* x y)) (log (+ 1.0 (exp x)))) (+ (neg (* x y)) (log (+ 1.0 (exp x)))) (+ (* 1/2 (/ x (sqrt 2.0))) (+ (sqrt 2.0) (* (/ (pow x 2) (sqrt 2.0)) (- 1/4 (/ 1/8 2.0))))) (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) 1.046 * * * [progress]: adding candidates to table 1.379 * * [progress]: iteration 3 / 4 1.379 * * * [progress]: picking best candidate 1.383 * * * * [pick]: Picked # 1.383 * * * [progress]: localizing error 1.394 * * * [progress]: generating rewritten candidates 1.394 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.398 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.402 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.406 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.414 * * * [progress]: generating series expansions 1.414 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.414 * [approximate]: Approximating (- (log (+ (exp x) 1.0)) (* x y)) in (x y) around 0 1.417 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 1.423 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 1.443 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 1.445 * [approximate]: Approximating (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 1.448 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 1.450 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 1.453 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 1.458 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 1.466 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 1.467 * [approximate]: Approximating (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 1.469 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 1.471 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 1.475 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 1.480 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 1.487 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 1.488 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.488 * [approximate]: Approximating (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) in (x y) around 0 1.495 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) in y 1.513 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) in y 1.553 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) in y 1.586 * [approximate]: Approximating (pow (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) 3) in (x y) around 0 1.597 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) 3) in y 1.599 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) 3) in y 1.605 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) 3) in y 1.612 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) 3) in y 1.623 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) 3) in y 1.625 * [approximate]: Approximating (pow (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) 3) in (x y) around 0 1.627 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) 3) in y 1.630 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) 3) in y 1.636 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) 3) in y 1.643 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) 3) in y 1.656 * [taylor]: Taking taylor expansion of (pow (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) 3) in y 1.657 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.657 * [approximate]: Approximating (log (+ (exp x) 1.0)) in (x) around 0 1.686 * [approximate]: Approximating (log (+ (exp (/ 1 x)) 1.0)) in (x) around 0 1.712 * [approximate]: Approximating (log (+ (exp (/ -1 x)) 1.0)) in (x) around 0 1.738 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.738 * [approximate]: Approximating (- (log (+ (exp x) 1.0)) (* x y)) in (x y) around 0 1.741 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 1.747 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 1.770 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 1.773 * [approximate]: Approximating (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 1.775 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 1.777 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 1.781 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 1.786 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 1.793 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 1.794 * [approximate]: Approximating (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 1.796 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 1.798 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 1.802 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 1.807 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 1.815 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 1.815 * * * [progress]: simplifying candidates 1.817 * [simplify]: Simplifying using # : (log (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (exp (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (cbrt (pow (* (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (cbrt (- (log (+ (exp x) 1.0)) (* x y)))) 3)) (cbrt (pow (cbrt (- (log (+ (exp x) 1.0)) (* x y))) 3)) (cbrt (pow (sqrt (- (log (+ (exp x) 1.0)) (* x y))) 3)) (cbrt (pow (sqrt (- (log (+ (exp x) 1.0)) (* x y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (cbrt (* (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)))) (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (cbrt (* (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)))) (cbrt (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (cbrt (pow (* (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (cbrt (- (log (+ (exp x) 1.0)) (* x y)))) 3)) (cbrt (pow (cbrt (- (log (+ (exp x) 1.0)) (* x y))) 3)) (cbrt (pow (sqrt (- (log (+ (exp x) 1.0)) (* x y))) 3)) (cbrt (pow (sqrt (- (log (+ (exp x) 1.0)) (* x y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (cbrt (* (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)))) (cbrt (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (cbrt (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (cbrt 1) (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) (/ 3 2))) (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) (/ 3 2))) (cbrt (pow (- (pow (log (+ (exp x) 1.0)) 3) (pow (* x y) 3)) 3)) (cbrt (pow (+ (* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0))) (+ (* (* x y) (* x y)) (* (log (+ (exp x) 1.0)) (* x y)))) 3)) (cbrt (pow (- (* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0))) (* (* x y) (* x y))) 3)) (cbrt (pow (+ (log (+ (exp x) 1.0)) (* x y)) 3)) (* (cbrt (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (cbrt (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)))) (cbrt (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (* (* (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (sqrt (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (sqrt (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (* (log (- (log (+ (exp x) 1.0)) (* x y))) 3) (* (log (- (log (+ (exp x) 1.0)) (* x y))) 3) (* 1 3) (pow (- (log (+ (exp x) 1.0)) (* x y)) (* (cbrt 3) (cbrt 3))) (pow (- (log (+ (exp x) 1.0)) (* x y)) (sqrt 3)) (pow (- (log (+ (exp x) 1.0)) (* x y)) 1) (pow (* (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (cbrt (- (log (+ (exp x) 1.0)) (* x y)))) 3) (pow (cbrt (- (log (+ (exp x) 1.0)) (* x y))) 3) (pow (sqrt (- (log (+ (exp x) 1.0)) (* x y))) 3) (pow (sqrt (- (log (+ (exp x) 1.0)) (* x y))) 3) (pow 1 3) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) (* (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y))) (log (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (exp (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (* (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (* (* (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (pow (* (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (cbrt (- (log (+ (exp x) 1.0)) (* x y)))) 3) (pow (cbrt (- (log (+ (exp x) 1.0)) (* x y))) 3) (pow (sqrt (- (log (+ (exp x) 1.0)) (* x y))) 3) (pow (sqrt (- (log (+ (exp x) 1.0)) (* x y))) 3) (pow 1 3) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) (pow (- (pow (log (+ (exp x) 1.0)) 3) (pow (* x y) 3)) 3) (pow (+ (* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0))) (+ (* (* x y) (* x y)) (* (log (+ (exp x) 1.0)) (* x y)))) 3) (pow (- (* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0))) (* (* x y) (* x y))) 3) (pow (+ (log (+ (exp x) 1.0)) (* x y)) 3) (* (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y))) (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (pow (- (log (+ (exp x) 1.0)) (* x y)) (/ 3 2)) (pow (- (log (+ (exp x) 1.0)) (* x y)) (/ 3 2)) (log (* (cbrt (+ (exp x) 1.0)) (cbrt (+ (exp x) 1.0)))) (log (cbrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (log 1) (log (+ (exp x) 1.0)) (log 1) (log (+ (exp x) 1.0)) (log (+ (pow (exp x) 3) (pow 1.0 3))) (log (+ (* (exp x) (exp x)) (- (* 1.0 1.0) (* (exp x) 1.0)))) (log (- (* (exp x) (exp x)) (* 1.0 1.0))) (log (- (exp x) 1.0)) (log (+ (exp x) 1.0)) (log (log (+ (exp x) 1.0))) (exp (log (+ (exp x) 1.0))) (* (cbrt (log (+ (exp x) 1.0))) (cbrt (log (+ (exp x) 1.0)))) (cbrt (log (+ (exp x) 1.0))) (* (* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0))) (log (+ (exp x) 1.0))) (sqrt (log (+ (exp x) 1.0))) (sqrt (log (+ (exp x) 1.0))) (/ (+ (exp x) 1.0) (exp (* x y))) (log (- (log (+ (exp x) 1.0)) (* x y))) (exp (- (log (+ (exp x) 1.0)) (* x y))) (* (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (cbrt (- (log (+ (exp x) 1.0)) (* x y)))) (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (* (* (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y))) (- (log (+ (exp x) 1.0)) (* x y))) (sqrt (- (log (+ (exp x) 1.0)) (* x y))) (sqrt (- (log (+ (exp x) 1.0)) (* x y))) (- (pow (log (+ (exp x) 1.0)) 3) (pow (* x y) 3)) (+ (* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0))) (+ (* (* x y) (* x y)) (* (log (+ (exp x) 1.0)) (* x y)))) (neg (* x y)) (- (* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0))) (* (* x y) (* x y))) (+ (log (+ (exp x) 1.0)) (* x y)) (- (log (cbrt (+ (exp x) 1.0))) (* x y)) (- (log (sqrt (+ (exp x) 1.0))) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)) (+ (log (+ (* (exp x) (exp x)) (- (* 1.0 1.0) (* (exp x) 1.0)))) (* x y)) (+ (log (- (exp x) 1.0)) (* x y)) (neg (* x y)) (+ (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)) (+ (* 0.375 (* (pow (log 2.0) 2) (pow x 2))) (+ (pow (log 2.0) 3) (+ (* 1.5 (* (pow (log 2.0) 2) x)) (* 0.75 (* (log 2.0) (pow x 2)))))) (- (* 3 (* (pow x 2) (* (pow y 2) (log (+ (exp x) 1.0))))) (+ (* (pow x 3) (pow y 3)) (* 3 (* x (* y (pow (log (+ (exp x) 1.0)) 2)))))) (- (* 3 (* (pow x 2) (* (pow y 2) (log (+ (exp x) 1.0))))) (+ (* (pow x 3) (pow y 3)) (* 3 (* x (* y (pow (log (+ (exp x) 1.0)) 2)))))) (- (+ (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)) (+ (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)) 1.823 * * [simplify]: iteration 0 : 362 enodes (cost 798 ) 1.829 * * [simplify]: iteration 1 : 1354 enodes (cost 753 ) 1.856 * * [simplify]: iteration 2 : 5001 enodes (cost 741 ) 1.861 * [simplify]: Simplified to: (log (- (log (+ (exp x) 1.0)) (* x y))) (/ (+ (exp x) 1.0) (exp (* x y))) (cbrt (* (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)))) (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (sqrt (- (log (+ (exp x) 1.0)) (* x y))) (sqrt (- (log (+ (exp x) 1.0)) (* x y))) 1 (- (log (+ (exp x) 1.0)) (* x y)) (cbrt (* (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)))) (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (cbrt (* (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)))) (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (cbrt (* (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)))) (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (sqrt (- (log (+ (exp x) 1.0)) (* x y))) (sqrt (- (log (+ (exp x) 1.0)) (* x y))) 1 (- (log (+ (exp x) 1.0)) (* x y)) (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (cbrt (* (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)))) (cbrt (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) (cbrt (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))) 1 (- (log (+ (exp x) 1.0)) (* x y)) (sqrt (- (log (+ (exp x) 1.0)) (* x y))) (sqrt (- (log (+ (exp x) 1.0)) (* x y))) (- (pow (log (+ (exp x) 1.0)) 3) (pow (* x y) 3)) (+ (* (* x y) (+ (* x y) (log (+ (exp x) 1.0)))) (pow (log (+ (exp x) 1.0)) 2)) (- (pow (log (+ (exp x) 1.0)) 2) (* (* x y) (* x y))) (+ (log (+ (exp x) 1.0)) (* x y)) (cbrt (* (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)))) (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) (sqrt (- (log (+ (exp x) 1.0)) (* x y))) (sqrt (- (log (+ (exp x) 1.0)) (* x y))) (log (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (log (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) 3 (pow (- (log (+ (exp x) 1.0)) (* x y)) (* (cbrt 3) (cbrt 3))) (pow (- (log (+ (exp x) 1.0)) (* x y)) (sqrt 3)) (- (log (+ (exp x) 1.0)) (* x y)) (pow (- (log (+ (exp x) 1.0)) (* x y)) 2) (- (log (+ (exp x) 1.0)) (* x y)) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3/2) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3/2) 1 (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) (pow (- (log (+ (exp x) 1.0)) (* x y)) 2) (log (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (exp (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (pow (- (log (+ (exp x) 1.0)) (* x y)) 2) (- (log (+ (exp x) 1.0)) (* x y)) (pow (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) 3) (pow (- (log (+ (exp x) 1.0)) (* x y)) 2) (- (log (+ (exp x) 1.0)) (* x y)) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3/2) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3/2) 1 (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) (pow (- (pow (log (+ (exp x) 1.0)) 3) (pow (* x y) 3)) 3) (pow (+ (* (* x y) (+ (* x y) (log (+ (exp x) 1.0)))) (pow (log (+ (exp x) 1.0)) 2)) 3) (pow (- (pow (log (+ (exp x) 1.0)) 2) (* (* x y) (* x y))) 3) (pow (+ (log (+ (exp x) 1.0)) (* x y)) 3) (pow (- (log (+ (exp x) 1.0)) (* x y)) 2) (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (sqrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3)) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3/2) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3/2) (* 2 (log (cbrt (+ (exp x) 1.0)))) (log (cbrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) 0 (log (+ (exp x) 1.0)) 0 (log (+ (exp x) 1.0)) (log (+ (pow (exp x) 3) (pow 1.0 3))) (log (+ (* (exp x) (exp x)) (- (* 1.0 1.0) (* (exp x) 1.0)))) (log (- (* (exp x) (exp x)) (* 1.0 1.0))) (log (- (exp x) 1.0)) (log (+ (exp x) 1.0)) (log (log (+ (exp x) 1.0))) (+ (exp x) 1.0) (* (cbrt (log (+ (exp x) 1.0))) (cbrt (log (+ (exp x) 1.0)))) (cbrt (log (+ (exp x) 1.0))) (pow (log (+ (exp x) 1.0)) 3) (pow (log (+ (exp x) 1.0)) 1/2) (pow (log (+ (exp x) 1.0)) 1/2) (/ (+ (exp x) 1.0) (exp (* x y))) (log (- (log (+ (exp x) 1.0)) (* x y))) (/ (+ (exp x) 1.0) (exp (* x y))) (cbrt (* (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)))) (cbrt (- (log (+ (exp x) 1.0)) (* x y))) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) (sqrt (- (log (+ (exp x) 1.0)) (* x y))) (sqrt (- (log (+ (exp x) 1.0)) (* x y))) (- (pow (log (+ (exp x) 1.0)) 3) (pow (* x y) 3)) (+ (* (* x y) (+ (* x y) (log (+ (exp x) 1.0)))) (pow (log (+ (exp x) 1.0)) 2)) (neg (* x y)) (- (pow (log (+ (exp x) 1.0)) 2) (* (* x y) (* x y))) (+ (log (+ (exp x) 1.0)) (* x y)) (- (log (cbrt (+ (exp x) 1.0))) (* x y)) (- (log (sqrt (+ (exp x) 1.0))) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)) (+ (log (+ (* (exp x) (exp x)) (- (* 1.0 1.0) (* (exp x) 1.0)))) (* x y)) (+ (log (- (exp x) 1.0)) (* x y)) (neg (* x y)) (+ (* x (+ 0.5 (* x 0.125))) (log 2.0)) (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)) (+ (* 1.5 (* (pow (log 2.0) 2) x)) (+ (pow (log 2.0) 3) (* (pow x 2) (+ (* 0.75 (log 2.0)) (* 0.375 (pow (log 2.0) 2)))))) (- (- (* 3 (* (pow x 2) (* (pow y 2) (log (+ (exp x) 1.0))))) (pow (* x y) 3)) (* 3 (* x (* y (pow (log (+ (exp x) 1.0)) 2))))) (- (- (* 3 (* (pow x 2) (* (pow y 2) (log (+ (exp x) 1.0))))) (pow (* x y) 3)) (* 3 (* x (* y (pow (log (+ (exp x) 1.0)) 2))))) (+ (+ (log 2.0) (* x (+ 0.5 (* x 0.25)))) (* -1/2 (/ (pow x 2) (pow 2.0 2)))) (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0)) (+ (* x (+ 0.5 (* x 0.125))) (log 2.0)) (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)) 1.861 * * * [progress]: adding candidates to table 2.176 * [progress]: [Phase 3 of 3] Extracting. 2.176 * * [regime]: Finding splitpoints for: (# # #) 2.176 * * * [regime-changes]: Trying 3 branch expressions: ((- (log (+ 1.0 (exp x))) (* x y)) y x) 2.176 * * * * [regimes]: Trying to branch on (- (log (+ 1.0 (exp x))) (* x y)) from (# # #) 2.221 * * * * [regimes]: Trying to branch on y from (# # #) 2.263 * * * * [regimes]: Trying to branch on x from (# # #) 2.305 * * * [regime]: Found split indices: #