1.837 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.010 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (+ x (/ 1.0 3.0)) 0.011 * [simplify]: Sending expressions to egg_math: (+ h0 (/ h1 h2)) 0.013 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.015 * [simplify]: Simplified to: (+ x (/ 1.0 3.0)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.032 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.032 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of 0.3333333333333333 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 0.041 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.041 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.048 * * * [progress]: simplifying candidates 0.049 * [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) 0.049 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (/ h1 h2))) (log1p (+ h0 (/ h1 h2))) (* (exp h0) (exp (/ h1 h2))) (log (+ h0 (/ h1 h2))) (exp (+ h0 (/ h1 h2))) (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2)))) (cbrt (+ h0 (/ h1 h2))) (* (* (+ h0 (/ h1 h2)) (+ h0 (/ h1 h2))) (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))) (+ (pow h0 3) (pow (/ h1 h2) 3)) (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2)))) (- (* h0 h0) (* (/ h1 h2) (/ h1 h2))) (- h0 (/ h1 h2)) (+ h0 (/ h1 h2)) (+ h0 h3) (+ h0 h3) (+ h0 h3) 0.052 * * [simplify]: iteration 0 : 82 enodes (cost 61 ) 0.055 * * [simplify]: iteration 1 : 218 enodes (cost 55 ) 0.060 * * [simplify]: iteration 2 : 532 enodes (cost 55 ) 0.070 * * [simplify]: iteration 3 : 1514 enodes (cost 55 ) 0.101 * * [simplify]: iteration 4 : 5001 enodes (cost 55 ) 0.102 * [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) 0.102 * * * [progress]: adding candidates to table 0.142 * * [progress]: iteration 2 / 4 0.142 * * * [progress]: picking best candidate 0.143 * * * * [pick]: Picked # 0.143 * * * [progress]: localizing error 0.149 * * * [progress]: generating rewritten candidates 0.149 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.228 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.242 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.252 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.274 * * * [progress]: generating series expansions 0.274 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.275 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.275 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.275 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.278 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.278 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.279 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.286 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.293 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.293 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.293 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.294 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.296 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.296 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.302 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.302 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.315 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.315 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.315 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.315 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.318 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.318 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.324 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.332 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.332 * [approximate]: Taking taylor expansion of (sqrt (+ x 0.3333333333333333)) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ x 0.3333333333333333)) in x 0.333 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ x 0.3333333333333333)) in x 0.334 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.344 * [approximate]: Taking taylor expansion of (sqrt (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ 0.3333333333333333 (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ 0.3333333333333333 (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.353 * [approximate]: Taking taylor expansion of (sqrt (- 0.3333333333333333 (/ 1 x))) in (x) around 0 0.353 * [taylor]: Taking taylor expansion of (sqrt (- 0.3333333333333333 (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (sqrt (- 0.3333333333333333 (/ 1 x))) in x 0.355 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.363 * * * [progress]: simplifying candidates 0.365 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (log1p (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ 1 1) (+ (log (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0))))) (log (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (exp (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))) (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (sqrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (sqrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- x (/ 1.0 3.0)))) (* (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (- x (/ 1.0 3.0))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (* (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0)))) (* (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (sqrt (* (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))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* 1 1) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ x (/ 1.0 3.0))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) 1) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ 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)) (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)) (expm1 (sqrt (+ x (/ 1.0 3.0)))) (log1p (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (exp (sqrt (+ x (/ 1.0 3.0)))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt 1) (sqrt (+ x (/ 1.0 3.0))) (sqrt 1) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (- x (/ 1.0 3.0))) (/ 1 2) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (- (+ (* 1/2 (/ x (sqrt 0.3333333333333333))) (sqrt 0.3333333333333333)) (* 1/8 (/ (pow x 2) (pow (sqrt 0.3333333333333333) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.366 * [simplify]: Sending expressions to egg_math: (expm1 (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (log1p (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ h0 (/ h1 h2)) (+ h0 (/ h1 h2))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (+ h0 (/ h1 h2)) (+ h0 (/ h1 h2))) (+ 1 1) (+ (log (sqrt (+ h0 (/ h1 h2)))) (log (sqrt (+ h0 (/ h1 h2))))) (log (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (exp (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (* (* (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (sqrt (+ h0 (/ h1 h2)))) (* (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (sqrt (+ h0 (/ h1 h2))))) (* (cbrt (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (cbrt (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))))) (cbrt (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (* (* (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (* (+ h0 (/ h1 h2)) (+ h0 (/ h1 h2))) (sqrt (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (sqrt (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (+ (pow h0 3) (pow (/ h1 h2) 3))) (sqrt (+ (pow h0 3) (pow (/ h1 h2) 3)))) (* (sqrt (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2))))) (sqrt (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2)))))) (* (sqrt (+ (pow h0 3) (pow (/ h1 h2) 3))) (sqrt (- (* h0 h0) (* (/ h1 h2) (/ h1 h2))))) (* (sqrt (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2))))) (sqrt (- h0 (/ h1 h2)))) (* (sqrt (- (* h0 h0) (* (/ h1 h2) (/ h1 h2)))) (sqrt (+ (pow h0 3) (pow (/ h1 h2) 3)))) (* (sqrt (- h0 (/ h1 h2))) (sqrt (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2)))))) (* (sqrt (- (* h0 h0) (* (/ h1 h2) (/ h1 h2)))) (sqrt (- (* h0 h0) (* (/ h1 h2) (/ h1 h2))))) (* (sqrt (- h0 (/ h1 h2))) (sqrt (- h0 (/ h1 h2)))) (* (* (cbrt (sqrt (+ h0 (/ h1 h2)))) (cbrt (sqrt (+ h0 (/ h1 h2))))) (* (cbrt (sqrt (+ h0 (/ h1 h2)))) (cbrt (sqrt (+ h0 (/ h1 h2)))))) (* (cbrt (sqrt (+ h0 (/ h1 h2)))) (cbrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2))))) (sqrt (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2)))))) (* (sqrt (cbrt (+ h0 (/ h1 h2)))) (sqrt (cbrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* 1 1) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ h0 (/ h1 h2))) (* (cbrt (sqrt (+ h0 (/ h1 h2)))) (cbrt (sqrt (+ h0 (/ h1 h2)))))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2)))))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt 1)) (* (sqrt (+ h0 (/ h1 h2))) (sqrt 1)) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (+ h0 (/ h1 h2))) 1) (* (cbrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (cbrt (+ h0 (/ h1 h2)))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ (pow h0 3) (pow (/ h1 h2) 3)))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (- (* h0 h0) (* (/ h1 h2) (/ h1 h2))))) (* (sqrt (+ (pow h0 3) (pow (/ h1 h2) 3))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (- (* h0 h0) (* (/ h1 h2) (/ h1 h2)))) (sqrt (+ h0 (/ h1 h2)))) (expm1 (+ h0 (/ h1 h2))) (log1p (+ h0 (/ h1 h2))) (* (exp h0) (exp (/ h1 h2))) (log (+ h0 (/ h1 h2))) (exp (+ h0 (/ h1 h2))) (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2)))) (cbrt (+ h0 (/ h1 h2))) (* (* (+ h0 (/ h1 h2)) (+ h0 (/ h1 h2))) (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))) (+ (pow h0 3) (pow (/ h1 h2) 3)) (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2)))) (- (* h0 h0) (* (/ h1 h2) (/ h1 h2))) (- h0 (/ h1 h2)) (+ h0 (/ h1 h2)) (expm1 (+ h0 (/ h1 h2))) (log1p (+ h0 (/ h1 h2))) (* (exp h0) (exp (/ h1 h2))) (log (+ h0 (/ h1 h2))) (exp (+ h0 (/ h1 h2))) (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2)))) (cbrt (+ h0 (/ h1 h2))) (* (* (+ h0 (/ h1 h2)) (+ h0 (/ h1 h2))) (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))) (+ (pow h0 3) (pow (/ h1 h2) 3)) (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2)))) (- (* h0 h0) (* (/ h1 h2) (/ h1 h2))) (- h0 (/ h1 h2)) (+ h0 (/ h1 h2)) (expm1 (sqrt (+ h0 (/ h1 h2)))) (log1p (sqrt (+ h0 (/ h1 h2)))) (log (sqrt (+ h0 (/ h1 h2)))) (exp (sqrt (+ h0 (/ h1 h2)))) (* (cbrt (sqrt (+ h0 (/ h1 h2)))) (cbrt (sqrt (+ h0 (/ h1 h2))))) (cbrt (sqrt (+ h0 (/ h1 h2)))) (* (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (sqrt (+ h0 (/ h1 h2)))) (sqrt (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2))))) (sqrt (cbrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt 1) (sqrt (+ h0 (/ h1 h2))) (sqrt 1) (sqrt (+ h0 (/ h1 h2))) (sqrt (+ (pow h0 3) (pow (/ h1 h2) 3))) (sqrt (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2))))) (sqrt (- (* h0 h0) (* (/ h1 h2) (/ h1 h2)))) (sqrt (- h0 (/ h1 h2))) (/ 1 2) (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2)))) (+ h0 h3) (+ h0 h3) (+ h0 h3) (+ h0 h3) (+ h0 h3) (+ h0 h3) (+ h0 h3) (+ h0 h3) (+ h0 h3) (- (+ (* 1/2 (/ h0 (sqrt h3))) (sqrt h3)) (* 1/8 (/ (pow h0 2) (pow (sqrt h3) 3)))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) 0.372 * * [simplify]: iteration 0 : 236 enodes (cost 599 ) 0.379 * * [simplify]: iteration 1 : 925 enodes (cost 537 ) 0.407 * * [simplify]: iteration 2 : 5002 enodes (cost 521 ) 0.411 * [simplify]: Simplified to: (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) 1 1 2 1 1 (pow (sqrt (+ x (/ 1.0 3.0))) 4) (+ x (/ 1.0 3.0)) (pow (sqrt (+ x (/ 1.0 3.0))) 4) 2 (log (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (* (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) (pow (sqrt (+ x (/ 1.0 3.0))) 4) (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)) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- x (/ 1.0 3.0)))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) 1 (+ x (/ 1.0 3.0)) 1 (+ x (/ 1.0 3.0)) 1 (+ x (/ 1.0 3.0)) 1 (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) 1 (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) 1 2 1 (* (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (fabs (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (+ x (/ 1.0 3.0))) (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (+ x (/ 1.0 3.0)) (* (sqrt (+ x (/ 1.0 3.0))) (hypot (pow x 3/2) (pow (/ 1.0 3.0) 3/2))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) (hypot (pow x 3/2) (pow (/ 1.0 3.0) 3/2))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 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)) (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)) (expm1 (sqrt (+ x (/ 1.0 3.0)))) (log1p (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (exp (sqrt (+ x (/ 1.0 3.0)))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3) (fabs (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1 (sqrt (+ x (/ 1.0 3.0))) 1 (sqrt (+ x (/ 1.0 3.0))) (hypot (pow x 3/2) (pow (/ 1.0 3.0) 3/2)) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (- x (/ 1.0 3.0))) 1/2 (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (fma 1/2 (/ x (sqrt 0.3333333333333333)) (- (sqrt 0.3333333333333333) (* 1/8 (/ (pow x 2) (pow (sqrt 0.3333333333333333) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ (/ +nan.0 x) x)))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ (/ +nan.0 x) x)))) 0.411 * * * [progress]: adding candidates to table 0.647 * * [progress]: iteration 3 / 4 0.647 * * * [progress]: picking best candidate 0.655 * * * * [pick]: Picked # 0.655 * * * [progress]: localizing error 0.664 * * * [progress]: generating rewritten candidates 0.664 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.689 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.820 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.837 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.864 * * * [progress]: generating series expansions 0.864 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.865 * [approximate]: Taking taylor expansion of (pow (pow (+ x 0.3333333333333333) 1/4) 3) in (x) around 0 0.865 * [taylor]: Taking taylor expansion of (pow (pow (+ x 0.3333333333333333) 1/4) 3) in x 0.865 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/4) in x 0.865 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 0.3333333333333333)))) in x 0.865 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 0.3333333333333333))) in x 0.865 * [taylor]: Taking taylor expansion of 1/4 in x 0.866 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.866 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.868 * [taylor]: Taking taylor expansion of (pow (pow (+ x 0.3333333333333333) 1/4) 3) in x 0.868 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/4) in x 0.868 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 0.3333333333333333)))) in x 0.868 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 0.3333333333333333))) in x 0.868 * [taylor]: Taking taylor expansion of 1/4 in x 0.868 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.868 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.956 * [approximate]: Taking taylor expansion of (pow (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) 3) in (x) around 0 0.957 * [taylor]: Taking taylor expansion of (pow (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) 3) in x 0.957 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) in x 0.957 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.957 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.957 * [taylor]: Taking taylor expansion of 1/4 in x 0.957 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.957 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.957 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (pow (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) 3) in x 0.958 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) in x 0.958 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.958 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.958 * [taylor]: Taking taylor expansion of 1/4 in x 0.958 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.958 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.958 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.982 * [approximate]: Taking taylor expansion of (pow (pow (- 0.3333333333333333 (/ 1 x)) 1/4) 3) in (x) around 0 0.982 * [taylor]: Taking taylor expansion of (pow (pow (- 0.3333333333333333 (/ 1 x)) 1/4) 3) in x 0.982 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/4) in x 0.982 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.982 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.982 * [taylor]: Taking taylor expansion of 1/4 in x 0.982 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.982 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.982 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (pow (pow (- 0.3333333333333333 (/ 1 x)) 1/4) 3) in x 0.984 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/4) in x 0.984 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.984 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.984 * [taylor]: Taking taylor expansion of 1/4 in x 0.984 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.984 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.984 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.984 * [taylor]: Taking taylor expansion of x in x 1.019 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.019 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 1.019 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.019 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.022 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 1.022 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.022 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.023 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.029 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 1.029 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.029 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.029 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.037 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.037 * [approximate]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/4) in (x) around 0 1.037 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/4) in x 1.037 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 0.3333333333333333)))) in x 1.037 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 0.3333333333333333))) in x 1.037 * [taylor]: Taking taylor expansion of 1/4 in x 1.037 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 1.037 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.039 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/4) in x 1.039 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 0.3333333333333333)))) in x 1.039 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 0.3333333333333333))) in x 1.040 * [taylor]: Taking taylor expansion of 1/4 in x 1.040 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 1.040 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.084 * [approximate]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) in (x) around 0 1.084 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) in x 1.084 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 0.3333333333333333 (/ 1 x))))) in x 1.084 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 0.3333333333333333 (/ 1 x)))) in x 1.084 * [taylor]: Taking taylor expansion of 1/4 in x 1.084 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 1.085 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.085 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) in x 1.086 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 0.3333333333333333 (/ 1 x))))) in x 1.086 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 0.3333333333333333 (/ 1 x)))) in x 1.086 * [taylor]: Taking taylor expansion of 1/4 in x 1.086 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 1.086 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.086 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.106 * [approximate]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/4) in (x) around 0 1.106 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/4) in x 1.106 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 0.3333333333333333 (/ 1 x))))) in x 1.106 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 0.3333333333333333 (/ 1 x)))) in x 1.106 * [taylor]: Taking taylor expansion of 1/4 in x 1.106 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 1.106 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.106 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/4) in x 1.109 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 0.3333333333333333 (/ 1 x))))) in x 1.109 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 0.3333333333333333 (/ 1 x)))) in x 1.109 * [taylor]: Taking taylor expansion of 1/4 in x 1.109 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 1.109 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.109 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.134 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.134 * [approximate]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/4) in (x) around 0 1.134 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/4) in x 1.135 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 0.3333333333333333)))) in x 1.135 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 0.3333333333333333))) in x 1.135 * [taylor]: Taking taylor expansion of 1/4 in x 1.135 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 1.135 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.145 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/4) in x 1.145 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 0.3333333333333333)))) in x 1.145 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 0.3333333333333333))) in x 1.145 * [taylor]: Taking taylor expansion of 1/4 in x 1.145 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 1.145 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.181 * [approximate]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) in (x) around 0 1.181 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) in x 1.181 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 0.3333333333333333 (/ 1 x))))) in x 1.181 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 0.3333333333333333 (/ 1 x)))) in x 1.181 * [taylor]: Taking taylor expansion of 1/4 in x 1.181 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 1.181 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.181 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) in x 1.182 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 0.3333333333333333 (/ 1 x))))) in x 1.182 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 0.3333333333333333 (/ 1 x)))) in x 1.182 * [taylor]: Taking taylor expansion of 1/4 in x 1.182 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 1.182 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.183 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.203 * [approximate]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/4) in (x) around 0 1.203 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/4) in x 1.203 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 0.3333333333333333 (/ 1 x))))) in x 1.203 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 0.3333333333333333 (/ 1 x)))) in x 1.203 * [taylor]: Taking taylor expansion of 1/4 in x 1.203 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 1.203 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.203 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/4) in x 1.205 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 0.3333333333333333 (/ 1 x))))) in x 1.205 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 0.3333333333333333 (/ 1 x)))) in x 1.205 * [taylor]: Taking taylor expansion of 1/4 in x 1.206 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 1.206 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.206 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.239 * * * [progress]: simplifying candidates 1.242 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (log1p (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (* (log (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (* (log (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt 3)) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1) (pow (* (cbrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (cbrt (sqrt (sqrt (+ x (/ 1.0 3.0)))))) 3) (pow (cbrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))))) 3) (pow (sqrt (cbrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) 3) (pow (sqrt (sqrt (cbrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow 1 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (log (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (exp (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (* (cbrt (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (cbrt (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (cbrt (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (* (* (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (pow (* (cbrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (cbrt (sqrt (sqrt (+ x (/ 1.0 3.0)))))) 3) (pow (cbrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))))) 3) (pow (sqrt (cbrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) 3) (pow (sqrt (sqrt (cbrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3) (pow 1 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (pow (sqrt (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) 3) (pow (sqrt (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) 3) (pow (sqrt (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) 3) (pow (sqrt (sqrt (- x (/ 1.0 3.0)))) 3) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (sqrt (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) (/ 3 2)) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) (/ 3 2)) (expm1 (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (log1p (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (+ 1 3) (+ (log (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (log (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3)) (+ (log (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (log (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3)) (+ (log (sqrt (sqrt (+ x (/ 1.0 3.0))))) (log (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (log (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (exp (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (* (* (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (* (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (* (cbrt (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (cbrt (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)))) (cbrt (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (* (* (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (sqrt (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (sqrt (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (* (sqrt (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (pow (sqrt (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) 3)) (* (sqrt (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (pow (sqrt (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) 3)) (* (sqrt (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (pow (sqrt (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) 3)) (* (sqrt (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (pow (sqrt (sqrt (- x (/ 1.0 3.0)))) 3)) (* (sqrt (sqrt (- (* x 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4)) (pow (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 4) 3) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 4) 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)) (* (sqrt (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (pow (sqrt (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) 3)) (* (sqrt (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (pow (sqrt (sqrt (- x (/ 1.0 3.0)))) 3)) (* (sqrt (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) 3)) (* (sqrt (sqrt (- x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) 3)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (fabs (cbrt (sqrt (+ x (/ 1.0 3.0))))) 3)) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) 3)) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 5/2) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 5/2) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 5/2) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (fabs (cbrt (sqrt (+ x (/ 1.0 3.0))))) 3)) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) 3)) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 5/2) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 5/2) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 5/2) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 5/2) (* (cbrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (* (sqrt (cbrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (* (sqrt (sqrt (cbrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (* (sqrt (+ x (/ 1.0 3.0))) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3)) (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (* (sqrt (+ x (/ 1.0 3.0))) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3)) (+ x (/ 1.0 3.0)) (* (sqrt (+ x (/ 1.0 3.0))) (pow (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) 3)) (+ x (/ 1.0 3.0)) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) 3)) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) 3)) (* (sqrt (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (* (sqrt (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)) (expm1 (sqrt (sqrt (+ x (/ 1.0 3.0))))) (log1p (sqrt (sqrt (+ x (/ 1.0 3.0))))) (log (sqrt (sqrt (+ x (/ 1.0 3.0))))) (exp (sqrt (sqrt (+ x (/ 1.0 3.0))))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (fabs (cbrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (cbrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (sqrt (sqrt (cbrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1/2) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1/2) 1 (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1 (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1/2) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1/2) 1 (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (sqrt (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (sqrt (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (sqrt (sqrt (- x (/ 1.0 3.0)))) 1/4 1/2 1/4 (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1/2) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1/2) (expm1 (sqrt (sqrt (+ x (/ 1.0 3.0))))) (log1p (sqrt (sqrt (+ x (/ 1.0 3.0))))) (log (sqrt (sqrt (+ x (/ 1.0 3.0))))) (exp (sqrt (sqrt (+ x (/ 1.0 3.0))))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (fabs (cbrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (cbrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (sqrt (sqrt (cbrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1/2) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1/2) 1 (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1 (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1/2) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1/2) 1 (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (sqrt (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (sqrt (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (sqrt (sqrt (- x (/ 1.0 3.0)))) 1/4 1/2 1/4 (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1/2) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1/2) (fma (pow 0.3333333333333333 1/4) (+ (sqrt 0.3333333333333333) (* 2.53125 (* (pow x 2) (sqrt 0.3333333333333333)))) (- (* 2.25 (* (* x (sqrt 0.3333333333333333)) (pow 0.3333333333333333 1/4))) (* 3/8 (* (* (pow x 2) (sqrt 0.3333333333333333)) (pow (/ 1 (pow 0.3333333333333333 7)) 1/4))))) (fma (pow (/ 1 x) 1/4) 0.25 (- (pow (pow x 3) 1/4) (* 0.010416666666666666 (pow (/ 1 (pow x 5)) 1/4)))) (fma 0.25 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 3) x) (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 3) (* 0.010416666666666666 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 3) (pow x 2))))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (fma (pow 0.3333333333333333 1/4) (+ (* 0.28125 (pow x 2)) (* 0.75 x)) (- (pow 0.3333333333333333 1/4) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 0.3333333333333333 7)) 1/4))))) (fma (pow (/ 1 (pow x 3)) 1/4) 0.08333333333333333 (- (pow (/ 1 x) -1/4) (* 0.010416666666666666 (pow (/ 1 (pow x 7)) 1/4)))) (fma 0.08333333333333333 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (* 0.010416666666666666 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2))))) (fma (pow 0.3333333333333333 1/4) (+ (* 0.28125 (pow x 2)) (* 0.75 x)) (- (pow 0.3333333333333333 1/4) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 0.3333333333333333 7)) 1/4))))) (fma (pow (/ 1 (pow x 3)) 1/4) 0.08333333333333333 (- (pow (/ 1 x) -1/4) (* 0.010416666666666666 (pow (/ 1 (pow x 7)) 1/4)))) (fma 0.08333333333333333 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (* 0.010416666666666666 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2))))) 1.333 * * * [progress]: adding candidates to table 1.721 * * [progress]: iteration 4 / 4 1.722 * * * [progress]: picking best candidate 1.731 * * * * [pick]: Picked # 1.731 * * * [progress]: localizing error 1.743 * * * [progress]: generating rewritten candidates 1.743 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.763 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.884 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.902 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.916 * * * [progress]: generating series expansions 1.916 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.917 * [approximate]: Taking taylor expansion of (pow (sqrt (+ x 0.3333333333333333)) 3/2) in (x) around 0 1.917 * [taylor]: Taking taylor expansion of (pow (sqrt (+ x 0.3333333333333333)) 3/2) in x 1.917 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (+ x 0.3333333333333333))))) in x 1.917 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (+ x 0.3333333333333333)))) in x 1.917 * [taylor]: Taking taylor expansion of 3/2 in x 1.917 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 0.3333333333333333))) in x 1.917 * [taylor]: Taking taylor expansion of (sqrt (+ x 0.3333333333333333)) in x 1.917 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.917 * [taylor]: Taking taylor expansion of x in x 1.917 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.926 * [taylor]: Taking taylor expansion of (pow (sqrt (+ x 0.3333333333333333)) 3/2) in x 1.926 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (+ x 0.3333333333333333))))) in x 1.926 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (+ x 0.3333333333333333)))) in x 1.926 * [taylor]: Taking taylor expansion of 3/2 in x 1.926 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 0.3333333333333333))) in x 1.926 * [taylor]: Taking taylor expansion of (sqrt (+ x 0.3333333333333333)) in x 1.926 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.993 * [approximate]: Taking taylor expansion of (pow (sqrt (+ 0.3333333333333333 (/ 1 x))) 3/2) in (x) around 0 1.993 * [taylor]: Taking taylor expansion of (pow (sqrt (+ 0.3333333333333333 (/ 1 x))) 3/2) in x 1.993 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (+ 0.3333333333333333 (/ 1 x)))))) in x 1.993 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (+ 0.3333333333333333 (/ 1 x))))) in x 1.993 * [taylor]: Taking taylor expansion of 3/2 in x 1.993 * [taylor]: Taking taylor expansion of (log (sqrt (+ 0.3333333333333333 (/ 1 x)))) in x 1.993 * [taylor]: Taking taylor expansion of (sqrt (+ 0.3333333333333333 (/ 1 x))) in x 1.993 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.993 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.997 * [taylor]: Taking taylor expansion of (pow (sqrt (+ 0.3333333333333333 (/ 1 x))) 3/2) in x 1.997 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (+ 0.3333333333333333 (/ 1 x)))))) in x 1.997 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (+ 0.3333333333333333 (/ 1 x))))) in x 1.997 * [taylor]: Taking taylor expansion of 3/2 in x 1.997 * [taylor]: Taking taylor expansion of (log (sqrt (+ 0.3333333333333333 (/ 1 x)))) in x 1.997 * [taylor]: Taking taylor expansion of (sqrt (+ 0.3333333333333333 (/ 1 x))) in x 1.997 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.997 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.997 * [taylor]: Taking taylor expansion of x in x 2.044 * [approximate]: Taking taylor expansion of (pow (sqrt (- 0.3333333333333333 (/ 1 x))) 3/2) in (x) around 0 2.044 * [taylor]: Taking taylor expansion of (pow (sqrt (- 0.3333333333333333 (/ 1 x))) 3/2) in x 2.044 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (- 0.3333333333333333 (/ 1 x)))))) in x 2.044 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (- 0.3333333333333333 (/ 1 x))))) in x 2.044 * [taylor]: Taking taylor expansion of 3/2 in x 2.044 * [taylor]: Taking taylor expansion of (log (sqrt (- 0.3333333333333333 (/ 1 x)))) in x 2.044 * [taylor]: Taking taylor expansion of (sqrt (- 0.3333333333333333 (/ 1 x))) in x 2.044 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 2.044 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.048 * [taylor]: Taking taylor expansion of (pow (sqrt (- 0.3333333333333333 (/ 1 x))) 3/2) in x 2.048 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (- 0.3333333333333333 (/ 1 x)))))) in x 2.048 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (- 0.3333333333333333 (/ 1 x))))) in x 2.048 * [taylor]: Taking taylor expansion of 3/2 in x 2.048 * [taylor]: Taking taylor expansion of (log (sqrt (- 0.3333333333333333 (/ 1 x)))) in x 2.048 * [taylor]: Taking taylor expansion of (sqrt (- 0.3333333333333333 (/ 1 x))) in x 2.048 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 2.048 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.048 * [taylor]: Taking taylor expansion of x in x 2.087 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.088 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 2.088 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.088 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.088 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.088 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.091 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 2.091 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 2.091 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 2.091 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.098 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 2.098 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 2.098 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 2.098 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.114 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.114 * [approximate]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/4) in (x) around 0 2.114 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/4) in x 2.114 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 0.3333333333333333)))) in x 2.114 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 0.3333333333333333))) in x 2.114 * [taylor]: Taking taylor expansion of 1/4 in x 2.114 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 2.114 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.116 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/4) in x 2.116 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 0.3333333333333333)))) in x 2.116 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 0.3333333333333333))) in x 2.116 * [taylor]: Taking taylor expansion of 1/4 in x 2.116 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 2.116 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 2.116 * [taylor]: Taking taylor expansion of x in x 2.116 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.153 * [approximate]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) in (x) around 0 2.153 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) in x 2.153 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 0.3333333333333333 (/ 1 x))))) in x 2.153 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 0.3333333333333333 (/ 1 x)))) in x 2.153 * [taylor]: Taking taylor expansion of 1/4 in x 2.153 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 2.153 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 2.153 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.153 * [taylor]: Taking taylor expansion of x in x 2.154 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/4) in x 2.154 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 0.3333333333333333 (/ 1 x))))) in x 2.154 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 0.3333333333333333 (/ 1 x)))) in x 2.154 * [taylor]: Taking taylor expansion of 1/4 in x 2.154 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 2.154 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 2.154 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.154 * [taylor]: Taking taylor expansion of x in x 2.175 * [approximate]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/4) in (x) around 0 2.175 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/4) in x 2.175 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 0.3333333333333333 (/ 1 x))))) in x 2.175 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 0.3333333333333333 (/ 1 x)))) in x 2.175 * [taylor]: Taking taylor expansion of 1/4 in x 2.175 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 2.175 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 2.175 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.175 * [taylor]: Taking taylor expansion of x in x 2.177 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/4) in x 2.177 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 0.3333333333333333 (/ 1 x))))) in x 2.177 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 0.3333333333333333 (/ 1 x)))) in x 2.177 * [taylor]: Taking taylor expansion of 1/4 in x 2.178 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 2.178 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 2.178 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.178 * [taylor]: Taking taylor expansion of x in x 2.210 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.211 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 2.211 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 2.211 * [taylor]: Taking taylor expansion of x in x 2.211 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.211 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 2.211 * [taylor]: Taking taylor expansion of x in x 2.211 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.213 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 2.213 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 2.213 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.213 * [taylor]: Taking taylor expansion of x in x 2.214 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 2.214 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.214 * [taylor]: Taking taylor expansion of x in x 2.220 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 2.220 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 2.220 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.220 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 2.220 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.228 * * * [progress]: simplifying candidates 2.230 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (log1p (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (* (log (sqrt (+ x (/ 1.0 3.0)))) 3/2) (* (log (sqrt (+ x (/ 1.0 3.0)))) 3/2) (* 1/2 3/2) (* 1 3/2) (* (/ 1 2) 3/2) (pow (sqrt (+ x (/ 1.0 3.0))) (* (cbrt 3/2) (cbrt 3/2))) (pow (sqrt (+ x (/ 1.0 3.0))) (sqrt 3/2)) (pow (sqrt (+ x (/ 1.0 3.0))) 1) (pow (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) 3/2) (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 3/2) (pow (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) 3/2) (pow (sqrt (cbrt (+ x (/ 1.0 3.0)))) 3/2) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2) (pow (sqrt 1) 3/2) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2) (pow (sqrt 1) 3/2) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2) (pow 1 3/2) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2) (log (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (exp (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (* (cbrt (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (cbrt (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (cbrt (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (* (* (pow (sqrt (+ x (/ 1.0 3.0))) 3/2) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (/ 3/2 2) (sqrt (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (sqrt (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (pow (sqrt (+ x (/ 1.0 3.0))) (/ 3/2 2)) (pow (sqrt (+ x (/ 1.0 3.0))) (/ 3/2 2)) (expm1 (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (log1p (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (+ 1/2 3/2) (+ (/ 1 2) 3/2) (+ (log (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (log (sqrt (+ x (/ 1.0 3.0)))) 3/2)) (+ (log (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (log (sqrt (+ x (/ 1.0 3.0)))) 3/2)) (+ (log (sqrt (sqrt (+ x (/ 1.0 3.0))))) (log (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (log (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (exp (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (* (* (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (* (pow (sqrt (+ x (/ 1.0 3.0))) 3/2) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (* (cbrt (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (cbrt (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)))) (cbrt (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (* (* (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (sqrt (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (sqrt (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2)) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2)) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2)) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2)) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (+ x (/ 1.0 3.0))) (/ 3/2 2))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (+ x (/ 1.0 3.0))) (/ 3/2 2))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2)) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2)) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2)) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2)) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (sqrt (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (+ x (/ 1.0 3.0))) (/ 3/2 2))) (* (sqrt 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3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2)) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt 1) 3/2)) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt 1) 3/2)) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3/2)) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow 1 3/2)) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (* (cbrt (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (cbrt (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) (/ 3/2 2))) (* (cbrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (* (sqrt (cbrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (* (sqrt (sqrt (cbrt (+ x (/ 1.0 3.0))))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (* (sqrt (sqrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (* (sqrt 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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)) (- (+ (* 3/4 (* x (sqrt (/ 1 (sqrt 0.3333333333333333))))) (pow (sqrt 0.3333333333333333) 3/2)) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 0.3333333333333333) 5)))))) (- (pow +nan.0 3/2) (+ (* +nan.0 (* (/ 1 x) (sqrt (pow +nan.0 3)))) (- (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (pow +nan.0 3))))))) (- (pow +nan.0 3/2) (+ (* +nan.0 (* (/ 1 x) (sqrt (pow +nan.0 3)))) (- (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (pow +nan.0 3))))))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (- (+ (pow 0.3333333333333333 1/4) (+ (* 0.28125 (* (pow x 2) (pow 0.3333333333333333 1/4))) (* 0.75 (* x (pow 0.3333333333333333 1/4))))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 0.3333333333333333 7)) 1/4)))) (- (+ (* 0.08333333333333333 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.010416666666666666 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.08333333333333333 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.010416666666666666 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 2.231 * [simplify]: Sending expressions to egg_math: (expm1 (pow (sqrt (+ h0 (/ h1 h2))) 3/2)) (log1p (pow (sqrt (+ h0 (/ h1 h2))) 3/2)) (* (log (sqrt (+ h0 (/ h1 h2)))) 3/2) (* (log (sqrt (+ h0 (/ h1 h2)))) 3/2) (* 1/2 3/2) (* 1 3/2) (* (/ 1 2) 3/2) (pow (sqrt (+ h0 (/ h1 h2))) (* (cbrt 3/2) (cbrt 3/2))) (pow (sqrt (+ h0 (/ h1 h2))) (sqrt 3/2)) (pow (sqrt (+ h0 (/ h1 h2))) 1) (pow (* (cbrt (sqrt (+ h0 (/ h1 h2)))) (cbrt (sqrt (+ h0 (/ h1 h2))))) 3/2) (pow (cbrt (sqrt (+ h0 (/ h1 h2)))) 3/2) (pow (sqrt (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2))))) 3/2) (pow (sqrt (cbrt (+ h0 (/ h1 h2)))) 3/2) (pow (sqrt (sqrt (+ h0 (/ h1 h2)))) 3/2) (pow (sqrt (sqrt (+ h0 (/ h1 h2)))) 3/2) (pow (sqrt 1) 3/2) (pow (sqrt (+ h0 (/ h1 h2))) 3/2) (pow (sqrt 1) 3/2) (pow (sqrt (+ h0 (/ h1 h2))) 3/2) (pow (sqrt (sqrt (+ h0 (/ h1 h2)))) 3/2) (pow (sqrt (sqrt (+ h0 (/ h1 h2)))) 3/2) (pow 1 3/2) (pow (sqrt (+ h0 (/ h1 h2))) 3/2) (log (pow (sqrt (+ h0 (/ h1 h2))) 3/2)) (exp (pow (sqrt (+ h0 (/ h1 h2))) 3/2)) (* (cbrt (pow (sqrt (+ h0 (/ h1 h2))) 3/2)) (cbrt (pow (sqrt (+ h0 (/ h1 h2))) 3/2))) (cbrt (pow (sqrt (+ h0 (/ h1 h2))) 3/2)) (* (* (pow (sqrt (+ h0 (/ h1 h2))) 3/2) (pow (sqrt (+ h0 (/ h1 h2))) 3/2)) (pow (sqrt (+ h0 (/ h1 h2))) 3/2)) (/ 3/2 2) (sqrt (pow (sqrt (+ h0 (/ h1 h2))) 3/2)) (sqrt (pow (sqrt (+ h0 (/ h1 h2))) 3/2)) (pow (sqrt (+ h0 (/ h1 h2))) (/ 3/2 2)) (pow (sqrt (+ h0 (/ h1 h2))) (/ 3/2 2)) (expm1 (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (pow (sqrt (+ h0 (/ h1 h2))) 3/2))) (log1p (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (pow (sqrt (+ h0 (/ h1 h2))) 3/2))) (+ 1/2 3/2) (+ (/ 1 2) 3/2) (+ (log (sqrt (sqrt (+ h0 (/ h1 h2))))) (* 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3/2))) (sqrt (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (pow (sqrt (+ h0 (/ h1 h2))) 3/2))) (sqrt (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (pow (sqrt (+ h0 (/ h1 h2))) 3/2))) (* (sqrt (sqrt (sqrt (+ h0 (/ h1 h2))))) (pow (sqrt (sqrt (+ h0 (/ h1 h2)))) 3/2)) (* (sqrt (sqrt (sqrt (+ h0 (/ h1 h2))))) (pow (sqrt (sqrt (+ h0 (/ h1 h2)))) 3/2)) (* (sqrt (sqrt (sqrt (+ h0 (/ h1 h2))))) (pow (sqrt (sqrt (+ h0 (/ h1 h2)))) 3/2)) (* (sqrt (sqrt (sqrt (+ h0 (/ h1 h2))))) (pow (sqrt (sqrt (+ h0 (/ h1 h2)))) 3/2)) (* (sqrt (sqrt (sqrt (+ h0 (/ h1 h2))))) (sqrt (pow (sqrt (+ h0 (/ h1 h2))) 3/2))) (* (sqrt (sqrt (sqrt (+ h0 (/ h1 h2))))) (sqrt (pow (sqrt (+ h0 (/ h1 h2))) 3/2))) (* (sqrt (sqrt (sqrt (+ h0 (/ h1 h2))))) (pow (sqrt (+ h0 (/ h1 h2))) (/ 3/2 2))) (* (sqrt (sqrt (sqrt (+ h0 (/ h1 h2))))) (pow (sqrt (+ h0 (/ h1 h2))) (/ 3/2 2))) (* (sqrt (sqrt (sqrt (+ h0 (/ h1 h2))))) (pow (sqrt (sqrt (+ h0 (/ h1 h2)))) 3/2)) (* (sqrt (sqrt (sqrt (+ h0 (/ h1 h2))))) (pow (sqrt (sqrt (+ h0 (/ h1 h2)))) 3/2)) (* (sqrt 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(sqrt (sqrt (+ h0 (/ h1 h2))))) (sqrt (sqrt (sqrt (+ h0 (/ h1 h2))))) (expm1 (+ h0 (/ h1 h2))) (log1p (+ h0 (/ h1 h2))) (* (exp h0) (exp (/ h1 h2))) (log (+ h0 (/ h1 h2))) (exp (+ h0 (/ h1 h2))) (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2)))) (cbrt (+ h0 (/ h1 h2))) (* (* (+ h0 (/ h1 h2)) (+ h0 (/ h1 h2))) (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))) (+ (pow h0 3) (pow (/ h1 h2) 3)) (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2)))) (- (* h0 h0) (* (/ h1 h2) (/ h1 h2))) (- h0 (/ h1 h2)) (+ h0 (/ h1 h2)) (- (+ (* 3/4 (* h0 (sqrt (/ 1 (sqrt h3))))) (pow (sqrt h3) 3/2)) (* 3/32 (* (pow h0 2) (sqrt (/ 1 (pow (sqrt h3) 5)))))) (- (pow h4 3/2) (+ (* h4 (* (/ 1 h0) (sqrt (pow h4 3)))) (- (* h4 (* (/ 1 (pow h0 2)) (sqrt (pow h4 3))))))) (- (pow h4 3/2) (+ (* h4 (* (/ 1 h0) (sqrt (pow h4 3)))) (- (* h4 (* (/ 1 (pow h0 2)) (sqrt (pow h4 3))))))) (+ h0 h3) (+ h0 h3) (+ h0 h3) (- (+ (pow h3 1/4) (+ (* h5 (* (pow h0 2) (pow h3 1/4))) (* h6 (* h0 (pow h3 1/4))))) (* 1/8 (* (pow h0 2) (pow (/ 1 (pow h3 7)) 1/4)))) (- (+ (* h7 (pow (/ 1 (pow h0 3)) 1/4)) (pow (/ 1 h0) -1/4)) (* h8 (pow (/ 1 (pow h0 7)) 1/4))) (- (+ (* h7 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) h0)) (exp (* 1/4 (- (log -1) (log (/ -1 h0)))))) (* h8 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) (pow h0 2)))) (+ h0 h3) (+ h0 h3) (+ h0 h3) 2.238 * * [simplify]: iteration 0 : 450 enodes (cost 1103 ) 2.248 * * [simplify]: iteration 1 : 1606 enodes (cost 1030 ) 2.284 * * [simplify]: iteration 2 : 5001 enodes (cost 898 ) 2.289 * [simplify]: Simplified to: (expm1 (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (log1p (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (log (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) (log (pow (sqrt (+ x (/ 1.0 3.0))) 3/2)) 3/4 3/2 3/4 (pow (sqrt (+ x (/ 1.0 3.0))) (* (cbrt 3/2) (cbrt 3/2))) (pow (sqrt (+ x (/ 1.0 3.0))) (sqrt 3/2)) (sqrt (+ x (/ 1.0 3.0))) (pow (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) 3/2) (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 3/2) (pow (fabs 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0.3333333333333333) (+ x 0.3333333333333333) 2.290 * * * [progress]: adding candidates to table 2.599 * [progress]: [Phase 3 of 3] Extracting. 2.599 * * [regime]: Finding splitpoints for: (# # # #) 2.599 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (/ 1.0 3.0)) x) 2.599 * * * * [regimes]: Trying to branch on (+ x (/ 1.0 3.0)) from (# # # #) 2.615 * * * * [regimes]: Trying to branch on x from (# # # #) 2.630 * * * [regime]: Found split indices: #