13.561 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.069 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.071 * [simplify]: Simplifying using # : (- (log (+ 1.0 (exp x))) (* x y)) 0.074 * * [simplify]: iteration 0 : 12 enodes (cost 5 ) 0.075 * * [simplify]: iteration 1 : 19 enodes (cost 5 ) 0.076 * * [simplify]: iteration 2 : 23 enodes (cost 5 ) 0.077 * * [simplify]: iteration 3 : 23 enodes (cost 5 ) 0.077 * [simplify]: Simplified to: (- (log (+ 1.0 (exp x))) (* x y)) 0.078 * * [progress]: iteration 1 / 4 0.078 * * * [progress]: picking best candidate 0.079 * * * * [pick]: Picked # 0.079 * * * [progress]: localizing error 0.087 * * * [progress]: generating rewritten candidates 0.087 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.090 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.094 * * * [progress]: generating series expansions 0.094 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.094 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.094 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.094 * [taylor]: Taking taylor expansion of (exp x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.094 * [taylor]: Taking taylor expansion of (exp x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.097 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.097 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.097 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.099 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.099 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.099 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.099 * [taylor]: Taking taylor expansion of -1 in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.100 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.100 * [taylor]: Taking taylor expansion of -1 in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.102 * [approximate]: Taking taylor expansion of (log (+ (exp x) 1.0)) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.102 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.102 * [taylor]: Taking taylor expansion of (exp x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.103 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.103 * [taylor]: Taking taylor expansion of (exp x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [approximate]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in (x) around 0 0.119 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.119 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.119 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.120 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.120 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [approximate]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.140 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.140 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.140 * [taylor]: Taking taylor expansion of -1 in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.141 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.141 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.141 * [taylor]: Taking taylor expansion of -1 in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * * * [progress]: simplifying candidates 0.166 * [simplify]: Simplifying using # : (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 (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)))) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (exp x) 1.0) (+ (exp x) 1.0) (- (+ (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)) 0.170 * * [simplify]: iteration 0 : 137 enodes (cost 181 ) 0.172 * * [simplify]: iteration 1 : 364 enodes (cost 163 ) 0.178 * * [simplify]: iteration 2 : 1024 enodes (cost 163 ) 0.194 * * [simplify]: iteration 3 : 3614 enodes (cost 161 ) 0.264 * * [simplify]: iteration 4 : 5001 enodes (cost 159 ) 0.265 * [simplify]: Simplified to: (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)) (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 (+ (exp x) 1.0)) 3) (sqrt (log (+ 1.0 (exp x)))) (sqrt (log (+ 1.0 (exp x)))) (fma x (fma 1/2 x 1) 2.0) (+ 1.0 (exp x)) (+ 1.0 (exp x)) (fma (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))) (fma x 0.5 (log 2.0))) (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0)) 0.266 * * * [progress]: adding candidates to table 0.338 * * [progress]: iteration 2 / 4 0.338 * * * [progress]: picking best candidate 0.340 * * * * [pick]: Picked # 0.340 * * * [progress]: localizing error 0.352 * * * [progress]: generating rewritten candidates 0.352 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.354 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.354 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.355 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 0.359 * * * [progress]: generating series expansions 0.359 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.359 * [approximate]: Taking taylor expansion of (log (expm1 (log1p (+ (exp x) 1.0)))) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (+ (exp x) 1.0)))) in x 0.359 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (exp x) 1.0))) in x 0.359 * [taylor]: Rewrote expression to (- (exp (log1p (+ (exp x) 1.0))) 1) 0.359 * [taylor]: Taking taylor expansion of (exp (log1p (+ (exp x) 1.0))) in x 0.359 * [taylor]: Taking taylor expansion of (log1p (+ (exp x) 1.0)) in x 0.359 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp x) 1.0))) 0.360 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp x) 1.0)) in x 0.360 * [taylor]: Taking taylor expansion of 1 in x 0.360 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.360 * [taylor]: Taking taylor expansion of (exp x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of 1 in x 0.362 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (+ (exp x) 1.0)))) in x 0.362 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (exp x) 1.0))) in x 0.362 * [taylor]: Rewrote expression to (- (exp (log1p (+ (exp x) 1.0))) 1) 0.362 * [taylor]: Taking taylor expansion of (exp (log1p (+ (exp x) 1.0))) in x 0.362 * [taylor]: Taking taylor expansion of (log1p (+ (exp x) 1.0)) in x 0.362 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp x) 1.0))) 0.362 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp x) 1.0)) in x 0.362 * [taylor]: Taking taylor expansion of 1 in x 0.362 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.362 * [taylor]: Taking taylor expansion of (exp x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [approximate]: Taking taylor expansion of (log (expm1 (log1p (+ (exp (/ 1 x)) 1.0)))) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (+ (exp (/ 1 x)) 1.0)))) in x 0.423 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 x)) 1.0))) in x 0.423 * [taylor]: Rewrote expression to (- (exp (log1p (+ (exp (/ 1 x)) 1.0))) 1) 0.423 * [taylor]: Taking taylor expansion of (exp (log1p (+ (exp (/ 1 x)) 1.0))) in x 0.423 * [taylor]: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1.0)) in x 0.424 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp (/ 1 x)) 1.0))) 0.424 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp (/ 1 x)) 1.0)) in x 0.424 * [taylor]: Taking taylor expansion of 1 in x 0.424 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.424 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of 1 in x 0.425 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (+ (exp (/ 1 x)) 1.0)))) in x 0.425 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 x)) 1.0))) in x 0.425 * [taylor]: Rewrote expression to (- (exp (log1p (+ (exp (/ 1 x)) 1.0))) 1) 0.425 * [taylor]: Taking taylor expansion of (exp (log1p (+ (exp (/ 1 x)) 1.0))) in x 0.425 * [taylor]: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1.0)) in x 0.425 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp (/ 1 x)) 1.0))) 0.425 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp (/ 1 x)) 1.0)) in x 0.425 * [taylor]: Taking taylor expansion of 1 in x 0.425 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.425 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of 1 in x 0.482 * [approximate]: Taking taylor expansion of (log (expm1 (log1p (+ (exp (/ -1 x)) 1.0)))) in (x) around 0 0.482 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (+ (exp (/ -1 x)) 1.0)))) in x 0.482 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (exp (/ -1 x)) 1.0))) in x 0.482 * [taylor]: Rewrote expression to (- (exp (log1p (+ (exp (/ -1 x)) 1.0))) 1) 0.482 * [taylor]: Taking taylor expansion of (exp (log1p (+ (exp (/ -1 x)) 1.0))) in x 0.482 * [taylor]: Taking taylor expansion of (log1p (+ (exp (/ -1 x)) 1.0)) in x 0.482 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp (/ -1 x)) 1.0))) 0.482 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp (/ -1 x)) 1.0)) in x 0.482 * [taylor]: Taking taylor expansion of 1 in x 0.482 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.482 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.482 * [taylor]: Taking taylor expansion of -1 in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of 1 in x 0.483 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (+ (exp (/ -1 x)) 1.0)))) in x 0.483 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (exp (/ -1 x)) 1.0))) in x 0.483 * [taylor]: Rewrote expression to (- (exp (log1p (+ (exp (/ -1 x)) 1.0))) 1) 0.483 * [taylor]: Taking taylor expansion of (exp (log1p (+ (exp (/ -1 x)) 1.0))) in x 0.483 * [taylor]: Taking taylor expansion of (log1p (+ (exp (/ -1 x)) 1.0)) in x 0.483 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp (/ -1 x)) 1.0))) 0.483 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp (/ -1 x)) 1.0)) in x 0.483 * [taylor]: Taking taylor expansion of 1 in x 0.483 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.483 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.483 * [taylor]: Taking taylor expansion of -1 in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of 1 in x 0.536 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.536 * [approximate]: Taking taylor expansion of (log1p (+ (exp x) 1.0)) in (x) around 0 0.536 * [taylor]: Taking taylor expansion of (log1p (+ (exp x) 1.0)) in x 0.536 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp x) 1.0))) 0.536 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp x) 1.0)) in x 0.536 * [taylor]: Taking taylor expansion of 1 in x 0.536 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.536 * [taylor]: Taking taylor expansion of (exp x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [taylor]: Taking taylor expansion of (log1p (+ (exp x) 1.0)) in x 0.537 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp x) 1.0))) 0.537 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp x) 1.0)) in x 0.537 * [taylor]: Taking taylor expansion of 1 in x 0.537 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.537 * [taylor]: Taking taylor expansion of (exp x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.558 * [approximate]: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1.0)) in (x) around 0 0.558 * [taylor]: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1.0)) in x 0.559 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp (/ 1 x)) 1.0))) 0.559 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp (/ 1 x)) 1.0)) in x 0.559 * [taylor]: Taking taylor expansion of 1 in x 0.559 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.559 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1.0)) in x 0.560 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp (/ 1 x)) 1.0))) 0.560 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp (/ 1 x)) 1.0)) in x 0.560 * [taylor]: Taking taylor expansion of 1 in x 0.560 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.560 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [approximate]: Taking taylor expansion of (log1p (+ (exp (/ -1 x)) 1.0)) in (x) around 0 0.592 * [taylor]: Taking taylor expansion of (log1p (+ (exp (/ -1 x)) 1.0)) in x 0.592 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp (/ -1 x)) 1.0))) 0.592 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp (/ -1 x)) 1.0)) in x 0.592 * [taylor]: Taking taylor expansion of 1 in x 0.592 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.592 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [taylor]: Taking taylor expansion of (log1p (+ (exp (/ -1 x)) 1.0)) in x 0.593 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp (/ -1 x)) 1.0))) 0.593 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp (/ -1 x)) 1.0)) in x 0.593 * [taylor]: Taking taylor expansion of 1 in x 0.593 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.593 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.615 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ (exp x) 1.0))) in (x) around 0 0.615 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (exp x) 1.0))) in x 0.615 * [taylor]: Rewrote expression to (- (exp (log1p (+ (exp x) 1.0))) 1) 0.615 * [taylor]: Taking taylor expansion of (exp (log1p (+ (exp x) 1.0))) in x 0.615 * [taylor]: Taking taylor expansion of (log1p (+ (exp x) 1.0)) in x 0.615 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp x) 1.0))) 0.615 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp x) 1.0)) in x 0.615 * [taylor]: Taking taylor expansion of 1 in x 0.615 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.615 * [taylor]: Taking taylor expansion of (exp x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of 1 in x 0.617 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (exp x) 1.0))) in x 0.617 * [taylor]: Rewrote expression to (- (exp (log1p (+ (exp x) 1.0))) 1) 0.617 * [taylor]: Taking taylor expansion of (exp (log1p (+ (exp x) 1.0))) in x 0.617 * [taylor]: Taking taylor expansion of (log1p (+ (exp x) 1.0)) in x 0.617 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp x) 1.0))) 0.617 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp x) 1.0)) in x 0.617 * [taylor]: Taking taylor expansion of 1 in x 0.617 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.617 * [taylor]: Taking taylor expansion of (exp x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of 1 in x 0.650 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 x)) 1.0))) in (x) around 0 0.650 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 x)) 1.0))) in x 0.650 * [taylor]: Rewrote expression to (- (exp (log1p (+ (exp (/ 1 x)) 1.0))) 1) 0.650 * [taylor]: Taking taylor expansion of (exp (log1p (+ (exp (/ 1 x)) 1.0))) in x 0.650 * [taylor]: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1.0)) in x 0.650 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp (/ 1 x)) 1.0))) 0.650 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp (/ 1 x)) 1.0)) in x 0.650 * [taylor]: Taking taylor expansion of 1 in x 0.650 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.650 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [taylor]: Taking taylor expansion of 1 in x 0.651 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 x)) 1.0))) in x 0.651 * [taylor]: Rewrote expression to (- (exp (log1p (+ (exp (/ 1 x)) 1.0))) 1) 0.651 * [taylor]: Taking taylor expansion of (exp (log1p (+ (exp (/ 1 x)) 1.0))) in x 0.651 * [taylor]: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1.0)) in x 0.651 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp (/ 1 x)) 1.0))) 0.651 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp (/ 1 x)) 1.0)) in x 0.651 * [taylor]: Taking taylor expansion of 1 in x 0.651 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.651 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of 1 in x 0.694 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ (exp (/ -1 x)) 1.0))) in (x) around 0 0.694 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (exp (/ -1 x)) 1.0))) in x 0.694 * [taylor]: Rewrote expression to (- (exp (log1p (+ (exp (/ -1 x)) 1.0))) 1) 0.694 * [taylor]: Taking taylor expansion of (exp (log1p (+ (exp (/ -1 x)) 1.0))) in x 0.694 * [taylor]: Taking taylor expansion of (log1p (+ (exp (/ -1 x)) 1.0)) in x 0.695 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp (/ -1 x)) 1.0))) 0.695 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp (/ -1 x)) 1.0)) in x 0.695 * [taylor]: Taking taylor expansion of 1 in x 0.695 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.695 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of 1 in x 0.695 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (exp (/ -1 x)) 1.0))) in x 0.695 * [taylor]: Rewrote expression to (- (exp (log1p (+ (exp (/ -1 x)) 1.0))) 1) 0.695 * [taylor]: Taking taylor expansion of (exp (log1p (+ (exp (/ -1 x)) 1.0))) in x 0.695 * [taylor]: Taking taylor expansion of (log1p (+ (exp (/ -1 x)) 1.0)) in x 0.695 * [taylor]: Rewrote expression to (log (+ 1 (+ (exp (/ -1 x)) 1.0))) 0.695 * [taylor]: Taking taylor expansion of (+ 1 (+ (exp (/ -1 x)) 1.0)) in x 0.695 * [taylor]: Taking taylor expansion of 1 in x 0.695 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.695 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.696 * [taylor]: Taking taylor expansion of -1 in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of 1 in x 0.729 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 0.729 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.729 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.729 * [taylor]: Taking taylor expansion of (exp x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.729 * [taylor]: Taking taylor expansion of (exp x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.732 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.732 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.732 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of 1.0 in x 0.732 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.732 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.734 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.734 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.734 * [taylor]: Taking taylor expansion of -1 in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.735 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.735 * [taylor]: Taking taylor expansion of -1 in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * * * [progress]: simplifying candidates 0.738 * [simplify]: Simplifying using # : (expm1 (log (expm1 (log1p (+ 1.0 (exp x)))))) (log1p (log (expm1 (log1p (+ 1.0 (exp x)))))) (log (* (cbrt (expm1 (log1p (+ 1.0 (exp x))))) (cbrt (expm1 (log1p (+ 1.0 (exp x))))))) (log (cbrt (expm1 (log1p (+ 1.0 (exp x)))))) (log (sqrt (expm1 (log1p (+ 1.0 (exp x)))))) (log (sqrt (expm1 (log1p (+ 1.0 (exp x)))))) (log 1) (log (expm1 (log1p (+ 1.0 (exp x))))) (log (expm1 (log1p (+ 1.0 (exp x))))) (log (log (expm1 (log1p (+ 1.0 (exp x)))))) (exp (log (expm1 (log1p (+ 1.0 (exp x)))))) (* (cbrt (log (expm1 (log1p (+ 1.0 (exp x)))))) (cbrt (log (expm1 (log1p (+ 1.0 (exp x))))))) (cbrt (log (expm1 (log1p (+ 1.0 (exp x)))))) (* (* (log (expm1 (log1p (+ 1.0 (exp x))))) (log (expm1 (log1p (+ 1.0 (exp x)))))) (log (expm1 (log1p (+ 1.0 (exp x)))))) (sqrt (log (expm1 (log1p (+ 1.0 (exp x)))))) (sqrt (log (expm1 (log1p (+ 1.0 (exp x)))))) (+ 1 (+ 1.0 (exp x))) (expm1 (log1p (+ 1.0 (exp x)))) (log1p (log1p (+ 1.0 (exp x)))) (log (log1p (+ 1.0 (exp x)))) (exp (log1p (+ 1.0 (exp x)))) (* (cbrt (log1p (+ 1.0 (exp x)))) (cbrt (log1p (+ 1.0 (exp x))))) (cbrt (log1p (+ 1.0 (exp x)))) (* (* (log1p (+ 1.0 (exp x))) (log1p (+ 1.0 (exp x)))) (log1p (+ 1.0 (exp x)))) (sqrt (log1p (+ 1.0 (exp x)))) (sqrt (log1p (+ 1.0 (exp x)))) (exp (log1p (+ 1.0 (exp x)))) (expm1 (expm1 (log1p (+ 1.0 (exp x))))) (log1p (expm1 (log1p (+ 1.0 (exp x))))) (log (expm1 (log1p (+ 1.0 (exp x))))) (exp (expm1 (log1p (+ 1.0 (exp x))))) (* (cbrt (expm1 (log1p (+ 1.0 (exp x))))) (cbrt (expm1 (log1p (+ 1.0 (exp x)))))) (cbrt (expm1 (log1p (+ 1.0 (exp x))))) (* (* (expm1 (log1p (+ 1.0 (exp x)))) (expm1 (log1p (+ 1.0 (exp x))))) (expm1 (log1p (+ 1.0 (exp x))))) (sqrt (expm1 (log1p (+ 1.0 (exp x))))) (sqrt (expm1 (log1p (+ 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)) (- (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.5 x) (log 2.0))) (+ (* 0.75 (/ (pow x 2) (pow 3.0 2))) (* 0.5 (/ (pow x 2) (pow 2.0 2))))) (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0)) (- (+ (* 0.16666666666666666 (pow x 2)) (+ (* 0.3333333333333333 x) (log 3.0))) (* 1/2 (/ (pow x 2) (pow 3.0 2)))) (log (+ (exp x) 2.0)) (log (+ (exp x) 2.0)) (- (+ (* 0.6666666666666666 (pow x 2)) (+ (* 1.0 x) 2.0)) (* 1.5 (/ (pow x 2) (pow 3.0 2)))) (+ (exp x) 1.0) (+ (exp x) 1.0) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (exp x) 1.0) (+ (exp x) 1.0) 0.742 * * [simplify]: iteration 0 : 223 enodes (cost 308 ) 0.746 * * [simplify]: iteration 1 : 629 enodes (cost 266 ) 0.755 * * [simplify]: iteration 2 : 1829 enodes (cost 264 ) 0.782 * * [simplify]: iteration 3 : 5001 enodes (cost 264 ) 0.784 * [simplify]: Simplified to: (expm1 (log (expm1 (log1p (+ 1.0 (exp x)))))) (log1p (log (expm1 (log1p (+ 1.0 (exp x)))))) (* 2 (log (cbrt (+ 1.0 (exp x))))) (log (cbrt (+ 1.0 (exp x)))) (log (sqrt (expm1 (log1p (+ 1.0 (exp x)))))) (log (sqrt (expm1 (log1p (+ 1.0 (exp x)))))) 0 (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))) (log (log (expm1 (log1p (+ 1.0 (exp x)))))) (+ 1.0 (exp x)) (* (cbrt (log (expm1 (log1p (+ 1.0 (exp x)))))) (cbrt (log (expm1 (log1p (+ 1.0 (exp x))))))) (cbrt (log (expm1 (log1p (+ 1.0 (exp x)))))) (pow (log (+ 1.0 (exp x))) 3) (sqrt (log (expm1 (log1p (+ 1.0 (exp x)))))) (sqrt (log (expm1 (log1p (+ 1.0 (exp x)))))) (+ 1 (+ 1.0 (exp x))) (+ 1.0 (exp x)) (log1p (log1p (+ 1.0 (exp x)))) (log (log1p (+ 1.0 (exp x)))) (exp (log1p (+ 1.0 (exp x)))) (* (cbrt (log1p (+ 1.0 (exp x)))) (cbrt (log1p (+ 1.0 (exp x))))) (cbrt (log1p (+ 1.0 (exp x)))) (pow (log1p (+ 1.0 (exp x))) 3) (sqrt (log1p (+ 1.0 (exp x)))) (sqrt (log1p (+ 1.0 (exp x)))) (exp (log1p (+ 1.0 (exp x)))) (expm1 (+ 1.0 (exp x))) (log1p (+ 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))) (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 (pow x 2) 0.3333333333333333 (- (fma 0.5 x (log 2.0)) (fma 0.75 (/ (pow x 2) (pow 3.0 2)) (* 0.5 (/ (pow x 2) (pow 2.0 2)))))) (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))) (fma (pow x 2) 0.16666666666666666 (- (fma 0.3333333333333333 x (log 3.0)) (* 1/2 (/ (pow x 2) (pow 3.0 2))))) (log (+ (exp x) 2.0)) (log (+ (exp x) 2.0)) (fma (pow x 2) 0.6666666666666666 (- (fma 1.0 x 2.0) (* 1.5 (/ (pow x 2) (pow 3.0 2))))) (+ 1.0 (exp x)) (+ 1.0 (exp x)) (fma 1/2 (pow x 2) (+ x 2.0)) (+ 1.0 (exp x)) (+ 1.0 (exp x)) 0.785 * * * [progress]: adding candidates to table 0.933 * [progress]: [Phase 3 of 3] Extracting. 0.933 * * [regime]: Finding splitpoints for: (# #) 0.934 * * * [regime-changes]: Trying 3 branch expressions: ((- (log (+ 1.0 (exp x))) (* x y)) y x) 0.934 * * * * [regimes]: Trying to branch on (- (log (+ 1.0 (exp x))) (* x y)) from (# #) 0.952 * * * * [regimes]: Trying to branch on y from (# #) 0.965 * * * * [regimes]: Trying to branch on x from (# #) 0.980 * * * [regime]: Found split indices: #