15.202 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.008 * * * [progress]: [2/2] Setting up program. 0.009 * [progress]: [Phase 2 of 3] Improving. 0.009 * [simplify]: Simplifying using # : (+ x (/ 1.0 3.0)) 0.012 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.013 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.013 * [simplify]: Simplified to: (+ x (/ 1.0 3.0)) 0.013 * * [progress]: iteration 1 / 4 0.013 * * * [progress]: picking best candidate 0.015 * * * * [pick]: Picked # 0.015 * * * [progress]: localizing error 0.018 * * * [progress]: generating rewritten candidates 0.018 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.024 * * * [progress]: generating series expansions 0.024 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.025 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.025 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.028 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.028 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.028 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.028 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.035 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.035 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.035 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.035 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.042 * * * [progress]: simplifying candidates 0.043 * [simplify]: Simplifying using # : (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.046 * * [simplify]: iteration 0 : 82 enodes (cost 61 ) 0.048 * * [simplify]: iteration 1 : 218 enodes (cost 55 ) 0.052 * * [simplify]: iteration 2 : 532 enodes (cost 55 ) 0.060 * * [simplify]: iteration 3 : 1514 enodes (cost 55 ) 0.088 * * [simplify]: iteration 4 : 5001 enodes (cost 55 ) 0.089 * [simplify]: Simplified to: (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.089 * * * [progress]: adding candidates to table 0.120 * * [progress]: iteration 2 / 4 0.120 * * * [progress]: picking best candidate 0.123 * * * * [pick]: Picked # 0.123 * * * [progress]: localizing error 0.130 * * * [progress]: generating rewritten candidates 0.130 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.146 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.151 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.157 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.166 * * * [progress]: generating series expansions 0.166 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.167 * [approximate]: Taking taylor expansion of (pow (pow (+ x 0.3333333333333333) 2) 1/3) in (x) around 0 0.167 * [taylor]: Taking taylor expansion of (pow (pow (+ x 0.3333333333333333) 2) 1/3) in x 0.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 0.3333333333333333) 2)))) in x 0.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 0.3333333333333333) 2))) in x 0.167 * [taylor]: Taking taylor expansion of 1/3 in x 0.167 * [taylor]: Taking taylor expansion of (log (pow (+ x 0.3333333333333333) 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 2) in x 0.167 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.169 * [taylor]: Taking taylor expansion of (pow (pow (+ x 0.3333333333333333) 2) 1/3) in x 0.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 0.3333333333333333) 2)))) in x 0.169 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 0.3333333333333333) 2))) in x 0.169 * [taylor]: Taking taylor expansion of 1/3 in x 0.169 * [taylor]: Taking taylor expansion of (log (pow (+ x 0.3333333333333333) 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 2) in x 0.169 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.214 * [approximate]: Taking taylor expansion of (pow (pow (+ 0.3333333333333333 (/ 1 x)) 2) 1/3) in (x) around 0 0.214 * [taylor]: Taking taylor expansion of (pow (pow (+ 0.3333333333333333 (/ 1 x)) 2) 1/3) in x 0.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 0.3333333333333333 (/ 1 x)) 2)))) in x 0.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 0.3333333333333333 (/ 1 x)) 2))) in x 0.214 * [taylor]: Taking taylor expansion of 1/3 in x 0.214 * [taylor]: Taking taylor expansion of (log (pow (+ 0.3333333333333333 (/ 1 x)) 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 2) in x 0.214 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (pow (pow (+ 0.3333333333333333 (/ 1 x)) 2) 1/3) in x 0.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 0.3333333333333333 (/ 1 x)) 2)))) in x 0.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 0.3333333333333333 (/ 1 x)) 2))) in x 0.215 * [taylor]: Taking taylor expansion of 1/3 in x 0.216 * [taylor]: Taking taylor expansion of (log (pow (+ 0.3333333333333333 (/ 1 x)) 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 2) in x 0.216 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.239 * [approximate]: Taking taylor expansion of (pow (pow (- 0.3333333333333333 (/ 1 x)) 2) 1/3) in (x) around 0 0.239 * [taylor]: Taking taylor expansion of (pow (pow (- 0.3333333333333333 (/ 1 x)) 2) 1/3) in x 0.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 0.3333333333333333 (/ 1 x)) 2)))) in x 0.240 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 0.3333333333333333 (/ 1 x)) 2))) in x 0.240 * [taylor]: Taking taylor expansion of 1/3 in x 0.240 * [taylor]: Taking taylor expansion of (log (pow (- 0.3333333333333333 (/ 1 x)) 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 2) in x 0.240 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (pow (pow (- 0.3333333333333333 (/ 1 x)) 2) 1/3) in x 0.241 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 0.3333333333333333 (/ 1 x)) 2)))) in x 0.241 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 0.3333333333333333 (/ 1 x)) 2))) in x 0.241 * [taylor]: Taking taylor expansion of 1/3 in x 0.241 * [taylor]: Taking taylor expansion of (log (pow (- 0.3333333333333333 (/ 1 x)) 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 2) in x 0.241 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.241 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.273 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.273 * [approximate]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in (x) around 0 0.273 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.273 * [taylor]: Taking taylor expansion of 1/3 in x 0.274 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.274 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.276 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.276 * [taylor]: Taking taylor expansion of 1/3 in x 0.276 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.276 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.309 * [approximate]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.309 * [taylor]: Taking taylor expansion of 1/3 in x 0.309 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.309 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.310 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.310 * [taylor]: Taking taylor expansion of 1/3 in x 0.310 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.310 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.329 * [approximate]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.329 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.329 * [taylor]: Taking taylor expansion of 1/3 in x 0.329 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.329 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.331 * [taylor]: Taking taylor expansion of 1/3 in x 0.331 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.331 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.361 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.361 * [approximate]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in (x) around 0 0.361 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.362 * [taylor]: Taking taylor expansion of 1/3 in x 0.362 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.362 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.364 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.364 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.364 * [taylor]: Taking taylor expansion of 1/3 in x 0.364 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.364 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.397 * [approximate]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.397 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.397 * [taylor]: Taking taylor expansion of 1/3 in x 0.397 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.397 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.398 * [taylor]: Taking taylor expansion of 1/3 in x 0.398 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.398 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.417 * [approximate]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.417 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.417 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.417 * [taylor]: Taking taylor expansion of 1/3 in x 0.417 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.417 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.419 * [taylor]: Taking taylor expansion of 1/3 in x 0.419 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.419 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.449 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.449 * [approximate]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in (x) around 0 0.449 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.449 * [taylor]: Taking taylor expansion of 1/3 in x 0.449 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.449 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.451 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.451 * [taylor]: Taking taylor expansion of 1/3 in x 0.451 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.451 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.484 * [approximate]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.484 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.484 * [taylor]: Taking taylor expansion of 1/3 in x 0.484 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.484 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.484 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.485 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.485 * [taylor]: Taking taylor expansion of 1/3 in x 0.485 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.486 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.510 * [approximate]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.510 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.510 * [taylor]: Taking taylor expansion of 1/3 in x 0.510 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.510 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.512 * [taylor]: Taking taylor expansion of 1/3 in x 0.512 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.512 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.512 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.536 * * * [progress]: simplifying candidates 0.537 * [simplify]: Simplifying using # : (expm1 (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (log1p (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (+ 1/3 1/3) (+ 1 1) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (+ 1 1) (+ 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(* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ x (/ 1.0 3.0)))) (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0)))) (expm1 (cbrt (+ x (/ 1.0 3.0)))) (log1p (cbrt (+ x (/ 1.0 3.0)))) (log (cbrt (+ x (/ 1.0 3.0)))) (exp (cbrt (+ x (/ 1.0 3.0)))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt 1) (cbrt (+ x (/ 1.0 3.0))) (cbrt 1) (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (* (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (expm1 (cbrt (+ x (/ 1.0 3.0)))) (log1p (cbrt (+ x (/ 1.0 3.0)))) (log (cbrt (+ x (/ 1.0 3.0)))) (exp (cbrt (+ x (/ 1.0 3.0)))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt 1) (cbrt (+ x (/ 1.0 3.0))) (cbrt 1) (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (* (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (expm1 (cbrt (+ x (/ 1.0 3.0)))) (log1p (cbrt (+ x (/ 1.0 3.0)))) (log (cbrt (+ x (/ 1.0 3.0)))) (exp (cbrt (+ x (/ 1.0 3.0)))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt 1) (cbrt (+ x (/ 1.0 3.0))) (cbrt 1) (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (* (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (- (+ (pow 0.1111111111111111 1/3) (+ (* 2.0 (* x (pow 0.1111111111111111 1/3))) (* 5.0 (* (pow x 2) (pow 0.1111111111111111 1/3))))) (* 0.07407407407407407 (* (pow x 2) (pow (/ 1 (pow 0.1111111111111111 5)) 1/3)))) (- (+ (* 0.2222222222222222 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 4)) 1/3))) (- (+ (* 0.2222222222222222 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 4)) 1/3))) (- (+ (pow 0.3333333333333333 1/3) (+ (* 1.0 (* x (pow 0.3333333333333333 1/3))) (* 0.5 (* (pow x 2) (pow 0.3333333333333333 1/3))))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 0.3333333333333333 5)) 1/3)))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.012345679012345678 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (pow 0.3333333333333333 1/3) (+ (* 1.0 (* x (pow 0.3333333333333333 1/3))) (* 0.5 (* (pow x 2) (pow 0.3333333333333333 1/3))))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 0.3333333333333333 5)) 1/3)))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.012345679012345678 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (pow 0.3333333333333333 1/3) (+ (* 1.0 (* x (pow 0.3333333333333333 1/3))) (* 0.5 (* (pow x 2) (pow 0.3333333333333333 1/3))))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 0.3333333333333333 5)) 1/3)))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.012345679012345678 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 0.544 * * [simplify]: iteration 0 : 351 enodes (cost 1031 ) 0.551 * * [simplify]: iteration 1 : 1200 enodes (cost 968 ) 0.575 * * [simplify]: iteration 2 : 5001 enodes (cost 897 ) 0.580 * [simplify]: Simplified to: (expm1 (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (log1p (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) 2/3 2 (pow (cbrt (+ x (/ 1.0 3.0))) 6) (pow (sqrt (cbrt (+ x (/ 1.0 3.0)))) 4) 2 (* 2 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4) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (expm1 (cbrt (+ x (/ 1.0 3.0)))) (log1p (cbrt (+ x (/ 1.0 3.0)))) (log (cbrt (+ x (/ 1.0 3.0)))) (exp (cbrt (+ x (/ 1.0 3.0)))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) 1 (cbrt (+ x (/ 1.0 3.0))) 1 (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (+ x (/ 1.0 3.0)) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (expm1 (cbrt (+ x (/ 1.0 3.0)))) (log1p (cbrt (+ x (/ 1.0 3.0)))) (log (cbrt (+ x (/ 1.0 3.0)))) (exp (cbrt (+ x (/ 1.0 3.0)))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) 1 (cbrt (+ x (/ 1.0 3.0))) 1 (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (+ x (/ 1.0 3.0)) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (expm1 (cbrt (+ x (/ 1.0 3.0)))) (log1p (cbrt (+ x (/ 1.0 3.0)))) (log (cbrt (+ x (/ 1.0 3.0)))) (exp (cbrt (+ x (/ 1.0 3.0)))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) 1 (cbrt (+ x (/ 1.0 3.0))) 1 (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (+ x (/ 1.0 3.0)) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (fma (pow 0.1111111111111111 1/3) (+ (* 2.0 x) (* 5.0 (pow x 2))) (- (pow 0.1111111111111111 1/3) (* 0.07407407407407407 (* (pow x 2) (pow (/ 1 (pow 0.1111111111111111 5)) 1/3))))) (fma (pow (/ 1 x) 1/3) 0.2222222222222222 (- (pow (/ 1 x) -2/3) (* 0.012345679012345678 (pow (/ 1 (pow x 4)) 1/3)))) (fma (pow (/ 1 x) 1/3) 0.2222222222222222 (- (pow (/ -1 x) -2/3) (* 0.012345679012345678 (pow (/ 1 (pow x 4)) 1/3)))) (fma (pow 0.3333333333333333 1/3) (+ (* 1.0 x) (* 0.5 (pow x 2))) (- (pow 0.3333333333333333 1/3) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 0.3333333333333333 5)) 1/3))))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.1111111111111111 (- (pow (/ 1 x) -1/3) (* 0.012345679012345678 (pow (/ 1 (pow x 5)) 1/3)))) (fma 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 0.012345679012345678 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) (fma (pow 0.3333333333333333 1/3) (+ (* 1.0 x) (* 0.5 (pow x 2))) (- (pow 0.3333333333333333 1/3) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 0.3333333333333333 5)) 1/3))))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.1111111111111111 (- (pow (/ 1 x) -1/3) (* 0.012345679012345678 (pow (/ 1 (pow x 5)) 1/3)))) (fma 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 0.012345679012345678 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) (fma (pow 0.3333333333333333 1/3) (+ (* 1.0 x) (* 0.5 (pow x 2))) (- (pow 0.3333333333333333 1/3) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 0.3333333333333333 5)) 1/3))))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.1111111111111111 (- (pow (/ 1 x) -1/3) (* 0.012345679012345678 (pow (/ 1 (pow x 5)) 1/3)))) (fma 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 0.012345679012345678 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) 0.580 * * * [progress]: adding candidates to table 0.812 * * [progress]: iteration 3 / 4 0.812 * * * [progress]: picking best candidate 0.813 * * * * [pick]: Picked # 0.813 * * * [progress]: localizing error 0.820 * * * [progress]: generating rewritten candidates 0.820 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.821 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.827 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.829 * * * [progress]: generating series expansions 0.829 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.829 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ x 0.3333333333333333))) in (x) around 0 0.830 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ x 0.3333333333333333))) in x 0.830 * [taylor]: Rewrote expression to (- (exp (log1p (+ x 0.3333333333333333))) 1) 0.830 * [taylor]: Taking taylor expansion of (exp (log1p (+ x 0.3333333333333333))) in x 0.830 * [taylor]: Taking taylor expansion of (log1p (+ x 0.3333333333333333)) in x 0.830 * [taylor]: Rewrote expression to (log (+ 1 (+ x 0.3333333333333333))) 0.830 * [taylor]: Taking taylor expansion of (+ 1 (+ x 0.3333333333333333)) in x 0.830 * [taylor]: Taking taylor expansion of 1 in x 0.830 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.831 * [taylor]: Taking taylor expansion of 1 in x 0.831 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ x 0.3333333333333333))) in x 0.831 * [taylor]: Rewrote expression to (- (exp (log1p (+ x 0.3333333333333333))) 1) 0.831 * [taylor]: Taking taylor expansion of (exp (log1p (+ x 0.3333333333333333))) in x 0.831 * [taylor]: Taking taylor expansion of (log1p (+ x 0.3333333333333333)) in x 0.832 * [taylor]: Rewrote expression to (log (+ 1 (+ x 0.3333333333333333))) 0.832 * [taylor]: Taking taylor expansion of (+ 1 (+ x 0.3333333333333333)) in x 0.832 * [taylor]: Taking taylor expansion of 1 in x 0.832 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.833 * [taylor]: Taking taylor expansion of 1 in x 0.863 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ 0.3333333333333333 (/ 1 x)))) in (x) around 0 0.864 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ 0.3333333333333333 (/ 1 x)))) in x 0.864 * [taylor]: Rewrote expression to (- (exp (log1p (+ 0.3333333333333333 (/ 1 x)))) 1) 0.864 * [taylor]: Taking taylor expansion of (exp (log1p (+ 0.3333333333333333 (/ 1 x)))) in x 0.864 * [taylor]: Taking taylor expansion of (log1p (+ 0.3333333333333333 (/ 1 x))) in x 0.864 * [taylor]: Rewrote expression to (log (+ 1 (+ 0.3333333333333333 (/ 1 x)))) 0.864 * [taylor]: Taking taylor expansion of (+ 1 (+ 0.3333333333333333 (/ 1 x))) in x 0.864 * [taylor]: Taking taylor expansion of 1 in x 0.864 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.864 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of 1 in x 0.866 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ 0.3333333333333333 (/ 1 x)))) in x 0.866 * [taylor]: Rewrote expression to (- (exp (log1p (+ 0.3333333333333333 (/ 1 x)))) 1) 0.866 * [taylor]: Taking taylor expansion of (exp (log1p (+ 0.3333333333333333 (/ 1 x)))) in x 0.866 * [taylor]: Taking taylor expansion of (log1p (+ 0.3333333333333333 (/ 1 x))) in x 0.866 * [taylor]: Rewrote expression to (log (+ 1 (+ 0.3333333333333333 (/ 1 x)))) 0.866 * [taylor]: Taking taylor expansion of (+ 1 (+ 0.3333333333333333 (/ 1 x))) in x 0.866 * [taylor]: Taking taylor expansion of 1 in x 0.866 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.866 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of 1 in x 0.934 * [approximate]: Taking taylor expansion of (expm1 (log1p (- 0.3333333333333333 (/ 1 x)))) in (x) around 0 0.934 * [taylor]: Taking taylor expansion of (expm1 (log1p (- 0.3333333333333333 (/ 1 x)))) in x 0.934 * [taylor]: Rewrote expression to (- (exp (log1p (- 0.3333333333333333 (/ 1 x)))) 1) 0.934 * [taylor]: Taking taylor expansion of (exp (log1p (- 0.3333333333333333 (/ 1 x)))) in x 0.934 * [taylor]: Taking taylor expansion of (log1p (- 0.3333333333333333 (/ 1 x))) in x 0.934 * [taylor]: Rewrote expression to (log (+ 1 (- 0.3333333333333333 (/ 1 x)))) 0.934 * [taylor]: Taking taylor expansion of (+ 1 (- 0.3333333333333333 (/ 1 x))) in x 0.934 * [taylor]: Taking taylor expansion of 1 in x 0.934 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.934 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of 1 in x 0.937 * [taylor]: Taking taylor expansion of (expm1 (log1p (- 0.3333333333333333 (/ 1 x)))) in x 0.937 * [taylor]: Rewrote expression to (- (exp (log1p (- 0.3333333333333333 (/ 1 x)))) 1) 0.937 * [taylor]: Taking taylor expansion of (exp (log1p (- 0.3333333333333333 (/ 1 x)))) in x 0.937 * [taylor]: Taking taylor expansion of (log1p (- 0.3333333333333333 (/ 1 x))) in x 0.937 * [taylor]: Rewrote expression to (log (+ 1 (- 0.3333333333333333 (/ 1 x)))) 0.937 * [taylor]: Taking taylor expansion of (+ 1 (- 0.3333333333333333 (/ 1 x))) in x 0.937 * [taylor]: Taking taylor expansion of 1 in x 0.937 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of 1 in x 1.030 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.030 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 1.030 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.030 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.032 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 1.032 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.033 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.039 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 1.039 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.039 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.039 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.046 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.047 * [approximate]: Taking taylor expansion of (log1p (+ x 0.3333333333333333)) in (x) around 0 1.047 * [taylor]: Taking taylor expansion of (log1p (+ x 0.3333333333333333)) in x 1.047 * [taylor]: Rewrote expression to (log (+ 1 (+ x 0.3333333333333333))) 1.047 * [taylor]: Taking taylor expansion of (+ 1 (+ x 0.3333333333333333)) in x 1.047 * [taylor]: Taking taylor expansion of 1 in x 1.047 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.048 * [taylor]: Taking taylor expansion of (log1p (+ x 0.3333333333333333)) in x 1.048 * [taylor]: Rewrote expression to (log (+ 1 (+ x 0.3333333333333333))) 1.048 * [taylor]: Taking taylor expansion of (+ 1 (+ x 0.3333333333333333)) in x 1.048 * [taylor]: Taking taylor expansion of 1 in x 1.048 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.060 * [approximate]: Taking taylor expansion of (log1p (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 1.060 * [taylor]: Taking taylor expansion of (log1p (+ 0.3333333333333333 (/ 1 x))) in x 1.060 * [taylor]: Rewrote expression to (log (+ 1 (+ 0.3333333333333333 (/ 1 x)))) 1.060 * [taylor]: Taking taylor expansion of (+ 1 (+ 0.3333333333333333 (/ 1 x))) in x 1.060 * [taylor]: Taking taylor expansion of 1 in x 1.060 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.060 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (log1p (+ 0.3333333333333333 (/ 1 x))) in x 1.061 * [taylor]: Rewrote expression to (log (+ 1 (+ 0.3333333333333333 (/ 1 x)))) 1.061 * [taylor]: Taking taylor expansion of (+ 1 (+ 0.3333333333333333 (/ 1 x))) in x 1.061 * [taylor]: Taking taylor expansion of 1 in x 1.061 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.074 * [approximate]: Taking taylor expansion of (log1p (- 0.3333333333333333 (/ 1 x))) in (x) around 0 1.074 * [taylor]: Taking taylor expansion of (log1p (- 0.3333333333333333 (/ 1 x))) in x 1.074 * [taylor]: Rewrote expression to (log (+ 1 (- 0.3333333333333333 (/ 1 x)))) 1.074 * [taylor]: Taking taylor expansion of (+ 1 (- 0.3333333333333333 (/ 1 x))) in x 1.074 * [taylor]: Taking taylor expansion of 1 in x 1.074 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (log1p (- 0.3333333333333333 (/ 1 x))) in x 1.076 * [taylor]: Rewrote expression to (log (+ 1 (- 0.3333333333333333 (/ 1 x)))) 1.076 * [taylor]: Taking taylor expansion of (+ 1 (- 0.3333333333333333 (/ 1 x))) in x 1.076 * [taylor]: Taking taylor expansion of 1 in x 1.076 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.090 * * * [progress]: simplifying candidates 1.091 * [simplify]: Simplifying using # : (exp (log1p (+ x (/ 1.0 3.0)))) (expm1 (expm1 (log1p (+ x (/ 1.0 3.0))))) (log1p (expm1 (log1p (+ x (/ 1.0 3.0))))) (log (expm1 (log1p (+ x (/ 1.0 3.0))))) (exp (expm1 (log1p (+ x (/ 1.0 3.0))))) (* (cbrt (expm1 (log1p (+ x (/ 1.0 3.0))))) (cbrt (expm1 (log1p (+ x (/ 1.0 3.0)))))) (cbrt (expm1 (log1p (+ x (/ 1.0 3.0))))) (* (* (expm1 (log1p (+ x (/ 1.0 3.0)))) (expm1 (log1p (+ x (/ 1.0 3.0))))) (expm1 (log1p (+ x (/ 1.0 3.0))))) (sqrt (expm1 (log1p (+ x (/ 1.0 3.0))))) (sqrt (expm1 (log1p (+ x (/ 1.0 3.0))))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ 1 (+ x (/ 1.0 3.0))) (expm1 (log1p (+ x (/ 1.0 3.0)))) (log1p (log1p (+ x (/ 1.0 3.0)))) (log (log1p (+ x (/ 1.0 3.0)))) (exp (log1p (+ x (/ 1.0 3.0)))) (* (cbrt (log1p (+ x (/ 1.0 3.0)))) (cbrt (log1p (+ x (/ 1.0 3.0))))) (cbrt (log1p (+ x (/ 1.0 3.0)))) (* (* (log1p (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0)))) (log1p (+ x (/ 1.0 3.0)))) (sqrt (log1p (+ x (/ 1.0 3.0)))) (sqrt (log1p (+ x (/ 1.0 3.0)))) (- (+ 0.33333333333333326 (+ (* 0.375 (pow x 2)) (* 1.0 x))) (* 0.6666666666666666 (/ (pow x 2) (pow 1.3333333333333333 2)))) (- (+ (* 1.3333333333333333 (/ (exp (- (log (/ 1 x)))) x)) (exp (- (log (/ 1 x))))) (+ 1 (* 1.1102230246251565e-16 (/ (exp (- (log (/ 1 x)))) (pow x 4))))) (- (+ (exp (- (log -1) (log (/ -1 x)))) (* 1.3333333333333333 (/ (exp (- (log -1) (log (/ -1 x)))) x))) (+ (* 1.1102230246251565e-16 (/ (exp (- (log -1) (log (/ -1 x)))) (pow x 4))) 1)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (- (+ (log 1.3333333333333333) (* 0.75 x)) (* 1/2 (/ (pow x 2) (pow 1.3333333333333333 2)))) (- (* 1.3333333333333333 (/ 1 x)) (+ (* 0.8888888888888888 (/ 1 (pow x 2))) (log (/ 1 x)))) (- (+ (log -1) (* 1.3333333333333333 (/ 1 x))) (+ (* 0.8888888888888888 (/ 1 (pow x 2))) (log (/ -1 x)))) 1.095 * * [simplify]: iteration 0 : 260 enodes (cost 226 ) 1.099 * * [simplify]: iteration 1 : 783 enodes (cost 208 ) 1.111 * * [simplify]: iteration 2 : 2838 enodes (cost 182 ) 1.167 * * [simplify]: iteration 3 : 5002 enodes (cost 173 ) 1.169 * [simplify]: Simplified to: (exp (log1p (+ x (/ 1.0 3.0)))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (pow x 2)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ 1 (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0)) (log1p (log1p (+ x (/ 1.0 3.0)))) (log (log1p (+ x (/ 1.0 3.0)))) (exp (log1p (+ x (/ 1.0 3.0)))) (* (cbrt (log1p (+ x (/ 1.0 3.0)))) (cbrt (log1p (+ x (/ 1.0 3.0))))) (cbrt (log1p (+ x (/ 1.0 3.0)))) (pow (log1p (+ x (/ 1.0 3.0))) 3) (sqrt (log1p (+ x (/ 1.0 3.0)))) (sqrt (log1p (+ x (/ 1.0 3.0)))) (fma x (+ (* 0.375 x) 1.0) (- 0.33333333333333326 (* 0.6666666666666666 (/ (pow x 2) (pow 1.3333333333333333 2))))) (+ x (fma 1.3333333333333333 1 (- (- 1) (* (/ 1.1102230246251565e-16 (pow x 4)) (* 1 x))))) (+ x (fma 1.3333333333333333 1 (- (- 1) (* (/ 1.1102230246251565e-16 (pow x 4)) (* 1 x))))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (fma x 0.75 (- (log 1.3333333333333333) (* 1/2 (/ (pow x 2) (pow 1.3333333333333333 2))))) (fma (/ 1 x) (- 1.3333333333333333 (/ 0.8888888888888888 x)) (log x)) (fma (/ 1 x) (- 1.3333333333333333 (/ 0.8888888888888888 x)) (log x)) 1.169 * * * [progress]: adding candidates to table 1.255 * [progress]: [Phase 3 of 3] Extracting. 1.255 * * [regime]: Finding splitpoints for: (# # #) 1.255 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (/ 1.0 3.0)) x) 1.255 * * * * [regimes]: Trying to branch on (+ x (/ 1.0 3.0)) from (# # #) 1.270 * * * * [regimes]: Trying to branch on x from (# # #) 1.281 * * * [regime]: Found split indices: #