17.586 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (* (* x 3.0) x) 0.013 * [simplify]: Sending expressions to egg_math: (* (* h0 h1) h0) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.019 * * [simplify]: iteration 2 : 10 enodes (cost 2 ) 0.019 * [simplify]: Simplified to: (* (* x 3.0) x) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (* 3.0 (pow x 2)) in (x) around 0 0.041 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of 3.0 in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of 3.0 in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.050 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 0.050 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of 3.0 in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of 3.0 in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.059 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of 3.0 in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of 3.0 in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.067 * * * [progress]: simplifying candidates 0.068 * [simplify]: Simplifying using # : (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) (* (* x 3.0) x) (* (* x 3.0) x) (+ (+ (log x) (log 3.0)) (log x)) (+ (log (* x 3.0)) (log x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (* (* (* (* x x) x) (* (* 3.0 3.0) 3.0)) (* (* x x) x)) (* (* (* (* x 3.0) (* x 3.0)) (* x 3.0)) (* (* x x) x)) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (* (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (* (* x 3.0) (* (cbrt x) (cbrt x))) (* (* x 3.0) (sqrt x)) (* (* x 3.0) 1) (* 3.0 x) (* 3.0 (pow x 2)) (* 3.0 (pow x 2)) (* 3.0 (pow x 2)) 0.068 * [simplify]: Sending expressions to egg_math: (expm1 (* (* h0 h1) h0)) (log1p (* (* h0 h1) h0)) (* (* h0 h1) h0) (* (* h0 h1) h0) (+ (+ (log h0) (log h1)) (log h0)) (+ (log (* h0 h1)) (log h0)) (log (* (* h0 h1) h0)) (exp (* (* h0 h1) h0)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h0 h0) h0)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h0 h0) h0)) (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0)) (* (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)) (* (* h0 h1) (* (cbrt h0) (cbrt h0))) (* (* h0 h1) (sqrt h0)) (* (* h0 h1) 1) (* h1 h0) (* h1 (pow h0 2)) (* h1 (pow h0 2)) (* h1 (pow h0 2)) 0.071 * * [simplify]: iteration 0 : 96 enodes (cost 78 ) 0.075 * * [simplify]: iteration 1 : 435 enodes (cost 63 ) 0.087 * * [simplify]: iteration 2 : 2298 enodes (cost 63 ) 0.126 * * [simplify]: iteration 3 : 5001 enodes (cost 62 ) 0.127 * [simplify]: Simplified to: (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) (* (* x 3.0) x) (* (* x 3.0) x) (log (* (* x 3.0) x)) (log (* (* x 3.0) x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (pow (* (* x 3.0) x) 3) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (* (* x 3.0) (* (cbrt x) (cbrt x))) (* (pow x 3/2) 3.0) (* x 3.0) (* x 3.0) (* (* x 3.0) x) (* (* x 3.0) x) (* (* x 3.0) x) 0.127 * * * [progress]: adding candidates to table 0.156 * * [progress]: iteration 2 / 4 0.156 * * * [progress]: picking best candidate 0.162 * * * * [pick]: Picked # 0.162 * * * [progress]: localizing error 0.168 * * * [progress]: generating rewritten candidates 0.168 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.181 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.195 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.288 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.310 * * * [progress]: generating series expansions 0.310 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.310 * [approximate]: Taking taylor expansion of (* x (sqrt 3.0)) in (x) around 0 0.310 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.310 * [taylor]: Taking taylor expansion of 3.0 in x 0.311 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.311 * [taylor]: Taking taylor expansion of 3.0 in x 0.328 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.328 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.328 * [taylor]: Taking taylor expansion of 3.0 in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.330 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.330 * [taylor]: Taking taylor expansion of 3.0 in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.339 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 0.339 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.339 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.339 * [taylor]: Taking taylor expansion of 3.0 in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.341 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.341 * [taylor]: Taking taylor expansion of 3.0 in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.351 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.351 * [approximate]: Taking taylor expansion of (* x (sqrt 3.0)) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.351 * [taylor]: Taking taylor expansion of 3.0 in x 0.351 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.352 * [taylor]: Taking taylor expansion of 3.0 in x 0.364 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 0.364 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.364 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.364 * [taylor]: Taking taylor expansion of 3.0 in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.365 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.365 * [taylor]: Taking taylor expansion of 3.0 in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.375 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 0.375 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.375 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.375 * [taylor]: Taking taylor expansion of 3.0 in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 0.377 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.377 * [taylor]: Taking taylor expansion of 3.0 in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.386 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.386 * [approximate]: Taking taylor expansion of (* (pow x 2) (pow (sqrt 3.0) 2)) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sqrt 3.0) 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 0.386 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.386 * [taylor]: Taking taylor expansion of 3.0 in x 0.387 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow (sqrt 3.0) 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 0.387 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.387 * [taylor]: Taking taylor expansion of 3.0 in x 0.408 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3.0) 2) (pow x 2)) in (x) around 0 0.408 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3.0) 2) (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.408 * [taylor]: Taking taylor expansion of 3.0 in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3.0) 2) (pow x 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 0.415 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.415 * [taylor]: Taking taylor expansion of 3.0 in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.436 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3.0) 2) (pow x 2)) in (x) around 0 0.436 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3.0) 2) (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 0.436 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.436 * [taylor]: Taking taylor expansion of 3.0 in x 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3.0) 2) (pow x 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in x 0.439 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 0.439 * [taylor]: Taking taylor expansion of 3.0 in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.460 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.460 * [approximate]: Taking taylor expansion of (* 3.0 (pow x 2)) in (x) around 0 0.460 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 0.460 * [taylor]: Taking taylor expansion of 3.0 in x 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 0.460 * [taylor]: Taking taylor expansion of 3.0 in x 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.468 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 0.468 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.468 * [taylor]: Taking taylor expansion of 3.0 in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.469 * [taylor]: Taking taylor expansion of 3.0 in x 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.476 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 0.476 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.476 * [taylor]: Taking taylor expansion of 3.0 in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.477 * [taylor]: Taking taylor expansion of 3.0 in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.484 * * * [progress]: simplifying candidates 0.486 * [simplify]: Simplifying using # : (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (sqrt (* x 3.0)) (sqrt x) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (sqrt (* x 3.0)) (sqrt x) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (log1p (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* (* x 3.0) x) (* (* x 3.0) x)) (+ 1 1) (+ (log (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x)))) (log (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (exp (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (* (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x)))) (* (cbrt (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (cbrt (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))))) (cbrt (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (* (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (* (* (* x 3.0) x) (* (* x 3.0) x)) (sqrt (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (sqrt (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))) (* (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x))))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (* (sqrt (* x 3.0)) (sqrt (* x 3.0))) (* (sqrt x) (sqrt x)) (* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x)))) (* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x)))) (* 1 1) (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x)))) (* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* (sqrt (* (* x 3.0) x)) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x))))) (* (sqrt (* (* x 3.0) x)) (sqrt (* x 3.0))) (* (sqrt (* (* x 3.0) x)) (sqrt (sqrt (* (* x 3.0) x)))) (* (sqrt (* (* x 3.0) x)) 1) (* (cbrt (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (* (sqrt x) (sqrt (* (* x 3.0) x))) (* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) (* (* x 3.0) x) (* (* x 3.0) x) (+ (+ (log x) (log 3.0)) (log x)) (+ (log (* x 3.0)) (log x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (* (* (* (* x x) x) (* (* 3.0 3.0) 3.0)) (* (* x x) x)) (* (* (* (* x 3.0) (* x 3.0)) (* x 3.0)) (* (* x x) x)) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (* (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (* (* x 3.0) (* (cbrt x) (cbrt x))) (* (* x 3.0) (sqrt x)) (* (* x 3.0) 1) (* 3.0 x) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* (pow x 2) (pow (sqrt 3.0) 2)) (* (pow x 2) (pow (sqrt 3.0) 2)) (* (pow x 2) (pow (sqrt 3.0) 2)) (* 3.0 (pow x 2)) (* 3.0 (pow x 2)) (* 3.0 (pow x 2)) 0.486 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (* (* h0 h1) h0))) (log1p (sqrt (* (* h0 h1) h0))) (log (sqrt (* (* h0 h1) h0))) (exp (sqrt (* (* h0 h1) h0))) (* (cbrt (sqrt (* (* h0 h1) h0))) (cbrt (sqrt (* (* h0 h1) h0)))) (cbrt (sqrt (* (* h0 h1) h0))) (* (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0))) (sqrt (* (* h0 h1) h0))) (sqrt (* h0 h1)) (sqrt h0) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* h0 h1) h0))) (sqrt (sqrt (* (* h0 h1) h0))) (expm1 (sqrt (* (* h0 h1) h0))) (log1p (sqrt (* (* h0 h1) h0))) (log (sqrt (* (* h0 h1) h0))) (exp (sqrt (* (* h0 h1) h0))) (* (cbrt (sqrt (* (* h0 h1) h0))) (cbrt (sqrt (* (* h0 h1) h0)))) (cbrt (sqrt (* (* h0 h1) h0))) (* (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0))) (sqrt (* (* h0 h1) h0))) (sqrt (* h0 h1)) (sqrt h0) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* h0 h1) h0))) (sqrt (sqrt (* (* h0 h1) h0))) (expm1 (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)))) (log1p (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0))) (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (+ 1 1) (+ (log (sqrt (* (* h0 h1) h0))) (log (sqrt (* (* h0 h1) h0)))) (log (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)))) (exp (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)))) (* (* (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0))) (sqrt (* (* h0 h1) h0))) (* (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0))) (sqrt (* (* h0 h1) h0)))) (* (cbrt (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)))) (cbrt (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0))))) (cbrt (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)))) (* (* (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0))) (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)))) (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)))) (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (sqrt (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)))) (sqrt (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)))) (* (* (cbrt (sqrt (* (* h0 h1) h0))) (cbrt (sqrt (* (* h0 h1) h0)))) (* (cbrt (sqrt (* (* h0 h1) h0))) (cbrt (sqrt (* (* h0 h1) h0))))) (* (cbrt (sqrt (* (* h0 h1) h0))) (cbrt (sqrt (* (* h0 h1) h0)))) (* (sqrt (* h0 h1)) (sqrt (* h0 h1))) (* (sqrt h0) (sqrt h0)) (* (sqrt (sqrt (* (* h0 h1) h0))) (sqrt (sqrt (* (* h0 h1) h0)))) (* (sqrt (sqrt (* (* h0 h1) h0))) (sqrt (sqrt (* (* h0 h1) h0)))) (* 1 1) (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0))) (* (sqrt (sqrt (* (* h0 h1) h0))) (sqrt (sqrt (* (* h0 h1) h0)))) (* (sqrt (sqrt (* (* h0 h1) h0))) (sqrt (sqrt (* (* h0 h1) h0)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* (sqrt (* (* h0 h1) h0)) (* (cbrt (sqrt (* (* h0 h1) h0))) (cbrt (sqrt (* (* h0 h1) h0))))) (* (sqrt (* (* h0 h1) h0)) (sqrt (* h0 h1))) (* (sqrt (* (* h0 h1) h0)) (sqrt (sqrt (* (* h0 h1) h0)))) (* (sqrt (* (* h0 h1) h0)) 1) (* (cbrt (sqrt (* (* h0 h1) h0))) (sqrt (* (* h0 h1) h0))) (* (sqrt h0) (sqrt (* (* h0 h1) h0))) (* (sqrt (sqrt (* (* h0 h1) h0))) (sqrt (* (* h0 h1) h0))) (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0))) (expm1 (* (* h0 h1) h0)) (log1p (* (* h0 h1) h0)) (* (* h0 h1) h0) (* (* h0 h1) h0) (+ (+ (log h0) (log h1)) (log h0)) (+ (log (* h0 h1)) (log h0)) (log (* (* h0 h1) h0)) (exp (* (* h0 h1) h0)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h0 h0) h0)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h0 h0) h0)) (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0)) (* (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)) (* (* h0 h1) (* (cbrt h0) (cbrt h0))) (* (* h0 h1) (sqrt h0)) (* (* h0 h1) 1) (* h1 h0) (* h0 (sqrt h1)) (* h0 (sqrt h1)) (* -1 (* h0 (sqrt h1))) (* h0 (sqrt h1)) (* h0 (sqrt h1)) (* -1 (* h0 (sqrt h1))) (* (pow h0 2) (pow (sqrt h1) 2)) (* (pow h0 2) (pow (sqrt h1) 2)) (* (pow h0 2) (pow (sqrt h1) 2)) (* h1 (pow h0 2)) (* h1 (pow h0 2)) (* h1 (pow h0 2)) 0.491 * * [simplify]: iteration 0 : 183 enodes (cost 396 ) 0.497 * * [simplify]: iteration 1 : 948 enodes (cost 335 ) 0.530 * * [simplify]: iteration 2 : 5001 enodes (cost 324 ) 0.533 * [simplify]: Simplified to: (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3) (sqrt (* x 3.0)) (sqrt x) 1/2 1/2 1/2 (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3) (sqrt (* x 3.0)) (sqrt x) 1/2 1/2 1/2 (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 (* x (* (* (pow x 3) 3.0) 3.0)) (* (* x 3.0) x) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) (* x (* (* (pow x 3) 3.0) 3.0)) 2 (log (* (* x 3.0) x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (* x (* (* (pow x 3) 3.0) 3.0)) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (pow (cbrt (sqrt (* (* x 3.0) x))) 4) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (* x 3.0) x (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) 1 (* (* x 3.0) x) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) 1 2 1 1 1 1 1 1 1 1 1 (* (pow (cbrt (sqrt (* (* x 3.0) x))) 4) (cbrt (sqrt (* (* x 3.0) x)))) (* (sqrt (* (* x 3.0) x)) (sqrt (* x 3.0))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (* (* x 3.0) x)) (pow (cbrt (sqrt (* (* x 3.0) x))) 4) (* (sqrt x) (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (* (* x 3.0) x) (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) (* (* x 3.0) x) (* (* x 3.0) x) (log (* (* x 3.0) x)) (log (* (* x 3.0) x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (pow (* (* x 3.0) x) 3) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (* (* x 3.0) (* (cbrt x) (cbrt x))) (* (* x 3.0) (sqrt x)) (* x 3.0) (* x 3.0) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* (* x 3.0) x) (* (* x 3.0) x) (* (* x 3.0) x) (* (* x 3.0) x) (* (* x 3.0) x) (* (* x 3.0) x) 0.533 * * * [progress]: adding candidates to table 0.696 * * [progress]: iteration 3 / 4 0.696 * * * [progress]: picking best candidate 0.710 * * * * [pick]: Picked # 0.711 * * * [progress]: localizing error 0.725 * * * [progress]: generating rewritten candidates 0.725 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.737 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.750 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 0.762 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.814 * * * [progress]: generating series expansions 0.814 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.815 * [approximate]: Taking taylor expansion of (* (cbrt 3.0) (pow (pow x 2) 1/3)) in (x) around 0 0.815 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (pow x 2) 1/3)) in x 0.815 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 0.815 * [taylor]: Taking taylor expansion of 3.0 in x 0.816 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.816 * [taylor]: Taking taylor expansion of 1/3 in x 0.816 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (pow x 2) 1/3)) in x 0.817 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 0.817 * [taylor]: Taking taylor expansion of 3.0 in x 0.818 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.818 * [taylor]: Taking taylor expansion of 1/3 in x 0.818 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.891 * [approximate]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 0.891 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in x 0.891 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 0.891 * [taylor]: Taking taylor expansion of 3.0 in x 0.892 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.892 * [taylor]: Taking taylor expansion of 1/3 in x 0.892 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.892 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in x 0.893 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 0.893 * [taylor]: Taking taylor expansion of 3.0 in x 0.894 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.894 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.894 * [taylor]: Taking taylor expansion of 1/3 in x 0.894 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.894 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.969 * [approximate]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 0.969 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in x 0.969 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 0.969 * [taylor]: Taking taylor expansion of 3.0 in x 0.970 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.970 * [taylor]: Taking taylor expansion of 1/3 in x 0.970 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in x 0.971 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 0.971 * [taylor]: Taking taylor expansion of 3.0 in x 0.972 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.972 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.972 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.972 * [taylor]: Taking taylor expansion of 1/3 in x 0.972 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.972 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.972 * [taylor]: Taking taylor expansion of x in x 1.045 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.045 * [approximate]: Taking taylor expansion of (* (cbrt 3.0) (pow (pow x 2) 1/3)) in (x) around 0 1.045 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (pow x 2) 1/3)) in x 1.045 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.045 * [taylor]: Taking taylor expansion of 3.0 in x 1.046 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.046 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.046 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.046 * [taylor]: Taking taylor expansion of 1/3 in x 1.046 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (pow x 2) 1/3)) in x 1.047 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.047 * [taylor]: Taking taylor expansion of 3.0 in x 1.047 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.047 * [taylor]: Taking taylor expansion of 1/3 in x 1.047 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.118 * [approximate]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.118 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in x 1.118 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.118 * [taylor]: Taking taylor expansion of 3.0 in x 1.118 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.119 * [taylor]: Taking taylor expansion of 1/3 in x 1.119 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in x 1.120 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.120 * [taylor]: Taking taylor expansion of 3.0 in x 1.120 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.120 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.120 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.121 * [taylor]: Taking taylor expansion of 1/3 in x 1.121 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.197 * [approximate]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.197 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in x 1.197 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.197 * [taylor]: Taking taylor expansion of 3.0 in x 1.198 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.198 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.198 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.198 * [taylor]: Taking taylor expansion of 1/3 in x 1.198 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in x 1.199 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.199 * [taylor]: Taking taylor expansion of 3.0 in x 1.200 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.200 * [taylor]: Taking taylor expansion of 1/3 in x 1.200 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.272 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.272 * [approximate]: Taking taylor expansion of (* (cbrt 3.0) (pow (pow x 2) 1/3)) in (x) around 0 1.272 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (pow x 2) 1/3)) in x 1.272 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.272 * [taylor]: Taking taylor expansion of 3.0 in x 1.273 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.273 * [taylor]: Taking taylor expansion of 1/3 in x 1.273 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.274 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (pow x 2) 1/3)) in x 1.274 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.274 * [taylor]: Taking taylor expansion of 3.0 in x 1.275 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.275 * [taylor]: Taking taylor expansion of 1/3 in x 1.275 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.342 * [approximate]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.343 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in x 1.344 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.344 * [taylor]: Taking taylor expansion of 3.0 in x 1.346 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.346 * [taylor]: Taking taylor expansion of 1/3 in x 1.346 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in x 1.348 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.348 * [taylor]: Taking taylor expansion of 3.0 in x 1.350 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.350 * [taylor]: Taking taylor expansion of 1/3 in x 1.350 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.431 * [approximate]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.431 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in x 1.431 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.431 * [taylor]: Taking taylor expansion of 3.0 in x 1.432 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.432 * [taylor]: Taking taylor expansion of 1/3 in x 1.432 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (pow (/ 1 (pow x 2)) 1/3)) in x 1.433 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.433 * [taylor]: Taking taylor expansion of 3.0 in x 1.434 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.434 * [taylor]: Taking taylor expansion of 1/3 in x 1.434 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.507 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.508 * [approximate]: Taking taylor expansion of (* (sqrt (pow (cbrt 3.0) 3)) x) in (x) around 0 1.508 * [taylor]: Taking taylor expansion of (* (sqrt (pow (cbrt 3.0) 3)) x) in x 1.508 * [taylor]: Taking taylor expansion of (sqrt (pow (cbrt 3.0) 3)) in x 1.508 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 1.508 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.508 * [taylor]: Taking taylor expansion of 3.0 in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (* (sqrt (pow (cbrt 3.0) 3)) x) in x 1.514 * [taylor]: Taking taylor expansion of (sqrt (pow (cbrt 3.0) 3)) in x 1.514 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 1.514 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.514 * [taylor]: Taking taylor expansion of 3.0 in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.552 * [approximate]: Taking taylor expansion of (* (sqrt (pow (cbrt 3.0) 3)) (/ 1 x)) in (x) around 0 1.552 * [taylor]: Taking taylor expansion of (* (sqrt (pow (cbrt 3.0) 3)) (/ 1 x)) in x 1.552 * [taylor]: Taking taylor expansion of (sqrt (pow (cbrt 3.0) 3)) in x 1.552 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 1.552 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.552 * [taylor]: Taking taylor expansion of 3.0 in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of (* (sqrt (pow (cbrt 3.0) 3)) (/ 1 x)) in x 1.558 * [taylor]: Taking taylor expansion of (sqrt (pow (cbrt 3.0) 3)) in x 1.558 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 1.558 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.558 * [taylor]: Taking taylor expansion of 3.0 in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.588 * [approximate]: Taking taylor expansion of (* (sqrt (pow (cbrt 3.0) 3)) (/ 1 x)) in (x) around 0 1.588 * [taylor]: Taking taylor expansion of (* (sqrt (pow (cbrt 3.0) 3)) (/ 1 x)) in x 1.588 * [taylor]: Taking taylor expansion of (sqrt (pow (cbrt 3.0) 3)) in x 1.588 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 1.588 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.588 * [taylor]: Taking taylor expansion of 3.0 in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of (* (sqrt (pow (cbrt 3.0) 3)) (/ 1 x)) in x 1.595 * [taylor]: Taking taylor expansion of (sqrt (pow (cbrt 3.0) 3)) in x 1.595 * [taylor]: Taking taylor expansion of (pow (cbrt 3.0) 3) in x 1.595 * [taylor]: Taking taylor expansion of (cbrt 3.0) in x 1.595 * [taylor]: Taking taylor expansion of 3.0 in x 1.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.630 * * * [progress]: simplifying candidates 1.631 * [simplify]: Simplifying using # : (expm1 (cbrt (* (* x 3.0) x))) (log1p (cbrt (* (* x 3.0) x))) (log (cbrt (* (* x 3.0) x))) (exp (cbrt (* (* x 3.0) x))) (cbrt (* x 3.0)) (cbrt x) (* (cbrt (cbrt (* (* x 3.0) x))) (cbrt (cbrt (* (* x 3.0) x)))) (cbrt (cbrt (* (* x 3.0) x))) (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))) (expm1 (cbrt (* (* x 3.0) x))) (log1p (cbrt (* (* x 3.0) x))) (log (cbrt (* (* x 3.0) x))) (exp (cbrt (* (* x 3.0) x))) (cbrt (* x 3.0)) (cbrt x) (* (cbrt (cbrt (* (* x 3.0) x))) (cbrt (cbrt (* (* x 3.0) x)))) (cbrt (cbrt (* (* x 3.0) x))) (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))) (expm1 (cbrt (* (* x 3.0) x))) (log1p (cbrt (* (* x 3.0) x))) (log (cbrt (* (* x 3.0) x))) (exp (cbrt (* (* x 3.0) x))) (cbrt (* x 3.0)) (cbrt x) (* (cbrt (cbrt (* (* x 3.0) x))) (cbrt (cbrt (* (* x 3.0) x)))) (cbrt (cbrt (* (* x 3.0) x))) (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))) (expm1 (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (log1p (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (log (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (exp (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (* (cbrt (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (cbrt (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)))))) (cbrt (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (* (* (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)))) (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (sqrt (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x)))) (sqrt (cbrt (* (* x 3.0) x))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (sqrt (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) 1.631 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt (* (* h0 h1) h0))) (log1p (cbrt (* (* h0 h1) h0))) (log (cbrt (* (* h0 h1) h0))) (exp (cbrt (* (* h0 h1) h0))) (cbrt (* h0 h1)) (cbrt h0) (* (cbrt (cbrt (* (* h0 h1) h0))) (cbrt (cbrt (* (* h0 h1) h0)))) (cbrt (cbrt (* (* h0 h1) h0))) (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))) (sqrt (cbrt (* (* h0 h1) h0))) (sqrt (cbrt (* (* h0 h1) h0))) (expm1 (cbrt (* (* h0 h1) h0))) (log1p (cbrt (* (* h0 h1) h0))) (log (cbrt (* (* h0 h1) h0))) (exp (cbrt (* (* h0 h1) h0))) (cbrt (* h0 h1)) (cbrt h0) (* (cbrt (cbrt (* (* h0 h1) h0))) (cbrt (cbrt (* (* h0 h1) h0)))) (cbrt (cbrt (* (* h0 h1) h0))) (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))) (sqrt (cbrt (* (* h0 h1) h0))) (sqrt (cbrt (* (* h0 h1) h0))) (expm1 (cbrt (* (* h0 h1) h0))) (log1p (cbrt (* (* h0 h1) h0))) (log (cbrt (* (* h0 h1) h0))) (exp (cbrt (* (* h0 h1) h0))) (cbrt (* h0 h1)) (cbrt h0) (* (cbrt (cbrt (* (* h0 h1) h0))) (cbrt (cbrt (* (* h0 h1) h0)))) (cbrt (cbrt (* (* h0 h1) h0))) (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))) (sqrt (cbrt (* (* h0 h1) h0))) (sqrt (cbrt (* (* h0 h1) h0))) (expm1 (sqrt (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))))) (log1p (sqrt (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))))) (log (sqrt (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))))) (exp (sqrt (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))))) (* (cbrt (sqrt (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))))) (cbrt (sqrt (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0)))))) (cbrt (sqrt (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))))) (* (* (sqrt (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0)))) (sqrt (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))))) (sqrt (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))))) (sqrt (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0)))) (sqrt (cbrt (* (* h0 h1) h0))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))))) (sqrt (sqrt (* (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0))))) (* (cbrt h1) (pow (pow h0 2) 1/3)) (* (cbrt h1) (pow (pow h0 2) 1/3)) (* (cbrt h1) (pow (pow h0 2) 1/3)) (* (cbrt h1) (pow (pow h0 2) 1/3)) (* (cbrt h1) (pow (pow h0 2) 1/3)) (* (cbrt h1) (pow (pow h0 2) 1/3)) (* (cbrt h1) (pow (pow h0 2) 1/3)) (* (cbrt h1) (pow (pow h0 2) 1/3)) (* (cbrt h1) (pow (pow h0 2) 1/3)) (* h0 (sqrt h1)) (* h0 (sqrt h1)) (* -1 (* h0 (sqrt h1))) 1.635 * * [simplify]: iteration 0 : 92 enodes (cost 346 ) 1.638 * * [simplify]: iteration 1 : 233 enodes (cost 314 ) 1.650 * * [simplify]: iteration 2 : 1293 enodes (cost 308 ) 1.724 * * [simplify]: iteration 3 : 5001 enodes (cost 308 ) 1.726 * [simplify]: Simplified to: (expm1 (cbrt (* (* x 3.0) x))) (log1p (cbrt (* (* x 3.0) x))) (log (cbrt (* (* x 3.0) x))) (exp (cbrt (* (* x 3.0) x))) (cbrt (* x 3.0)) (cbrt x) (* (cbrt (cbrt (* (* x 3.0) x))) (cbrt (cbrt (* (* x 3.0) x)))) (cbrt (cbrt (* (* x 3.0) x))) (* (* x 3.0) x) (sqrt (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))) (expm1 (cbrt (* (* x 3.0) x))) (log1p (cbrt (* (* x 3.0) x))) (log (cbrt (* (* x 3.0) x))) (exp (cbrt (* (* x 3.0) x))) (cbrt (* x 3.0)) (cbrt x) (* (cbrt (cbrt (* (* x 3.0) x))) (cbrt (cbrt (* (* x 3.0) x)))) (cbrt (cbrt (* (* x 3.0) x))) (* (* x 3.0) x) (sqrt (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))) (expm1 (cbrt (* (* x 3.0) x))) (log1p (cbrt (* (* x 3.0) x))) (log (cbrt (* (* x 3.0) x))) (exp (cbrt (* (* x 3.0) x))) (cbrt (* x 3.0)) (cbrt x) (* (cbrt (cbrt (* (* x 3.0) x))) (cbrt (cbrt (* (* x 3.0) x)))) (cbrt (cbrt (* (* x 3.0) x))) (* (* x 3.0) x) (sqrt (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))) (expm1 (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (log1p (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (log (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (exp (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (* (cbrt (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (cbrt (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)))))) (cbrt (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (pow (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)))) 3) (fabs (cbrt (* (* x 3.0) x))) (sqrt (cbrt (* (* x 3.0) x))) 1/2 3/2 3/2 3/2 1/2 3/2 1/6 1/2 1/2 3/2 3/2 3/2 3/2 3/2 1/2 (sqrt (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (sqrt (sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* (cbrt 3.0) (pow (pow x 2) 1/3)) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) 1.727 * * * [progress]: adding candidates to table 1.899 * * [progress]: iteration 4 / 4 1.899 * * * [progress]: picking best candidate 1.917 * * * * [pick]: Picked # 1.917 * * * [progress]: localizing error 1.927 * * * [progress]: generating rewritten candidates 1.927 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.941 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.955 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.971 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.993 * * * [progress]: generating series expansions 1.993 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.994 * [approximate]: Taking taylor expansion of (* x (sqrt 3.0)) in (x) around 0 1.994 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.994 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.994 * [taylor]: Taking taylor expansion of 3.0 in x 1.995 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.995 * [taylor]: Taking taylor expansion of 3.0 in x 2.007 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 2.007 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 2.007 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.007 * [taylor]: Taking taylor expansion of 3.0 in x 2.008 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 2.009 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.009 * [taylor]: Taking taylor expansion of 3.0 in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.018 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 2.018 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 2.018 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.018 * [taylor]: Taking taylor expansion of 3.0 in x 2.019 * [taylor]: Taking taylor expansion of x in x 2.019 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 2.019 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.019 * [taylor]: Taking taylor expansion of 3.0 in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.028 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.028 * [approximate]: Taking taylor expansion of (* x (sqrt 3.0)) in (x) around 0 2.029 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.029 * [taylor]: Taking taylor expansion of 3.0 in x 2.029 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.029 * [taylor]: Taking taylor expansion of 3.0 in x 2.042 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 2.042 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 2.042 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.042 * [taylor]: Taking taylor expansion of 3.0 in x 2.042 * [taylor]: Taking taylor expansion of x in x 2.043 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 2.043 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.043 * [taylor]: Taking taylor expansion of 3.0 in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.052 * [approximate]: Taking taylor expansion of (/ (sqrt 3.0) x) in (x) around 0 2.052 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 2.052 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.052 * [taylor]: Taking taylor expansion of 3.0 in x 2.056 * [taylor]: Taking taylor expansion of x in x 2.057 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 2.057 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.057 * [taylor]: Taking taylor expansion of 3.0 in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.067 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.067 * [approximate]: Taking taylor expansion of (pow (sqrt (* x (sqrt 3.0))) 3) in (x) around 0 2.067 * [taylor]: Taking taylor expansion of (pow (sqrt (* x (sqrt 3.0))) 3) in x 2.067 * [taylor]: Taking taylor expansion of (sqrt (* x (sqrt 3.0))) in x 2.067 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 2.067 * [taylor]: Taking taylor expansion of x in x 2.067 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.067 * [taylor]: Taking taylor expansion of 3.0 in x 2.071 * [taylor]: Taking taylor expansion of (pow (sqrt (* x (sqrt 3.0))) 3) in x 2.071 * [taylor]: Taking taylor expansion of (sqrt (* x (sqrt 3.0))) in x 2.071 * [taylor]: Taking taylor expansion of (* x (sqrt 3.0)) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.071 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.071 * [taylor]: Taking taylor expansion of 3.0 in x 2.129 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (sqrt 3.0) x)) 3) in (x) around 0 2.129 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (sqrt 3.0) x)) 3) in x 2.129 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 3.0) x)) in x 2.129 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 2.129 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.129 * [taylor]: Taking taylor expansion of 3.0 in x 2.130 * [taylor]: Taking taylor expansion of x in x 2.132 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (sqrt 3.0) x)) 3) in x 2.132 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 3.0) x)) in x 2.132 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 2.132 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.132 * [taylor]: Taking taylor expansion of 3.0 in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.198 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (sqrt 3.0) x)) 3) in (x) around 0 2.198 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (sqrt 3.0) x)) 3) in x 2.198 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 3.0) x)) in x 2.198 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 2.198 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.198 * [taylor]: Taking taylor expansion of 3.0 in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.201 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (sqrt 3.0) x)) 3) in x 2.201 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 3.0) x)) in x 2.201 * [taylor]: Taking taylor expansion of (/ (sqrt 3.0) x) in x 2.201 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.201 * [taylor]: Taking taylor expansion of 3.0 in x 2.201 * [taylor]: Taking taylor expansion of x in x 2.266 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.266 * [approximate]: Taking taylor expansion of (* 3.0 (pow x 2)) in (x) around 0 2.266 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 2.266 * [taylor]: Taking taylor expansion of 3.0 in x 2.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.266 * [taylor]: Taking taylor expansion of x in x 2.266 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 2.266 * [taylor]: Taking taylor expansion of 3.0 in x 2.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.266 * [taylor]: Taking taylor expansion of x in x 2.276 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 2.276 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 2.276 * [taylor]: Taking taylor expansion of 3.0 in x 2.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.276 * [taylor]: Taking taylor expansion of x in x 2.277 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 2.277 * [taylor]: Taking taylor expansion of 3.0 in x 2.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.285 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 2.285 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 2.285 * [taylor]: Taking taylor expansion of 3.0 in x 2.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.285 * [taylor]: Taking taylor expansion of x in x 2.286 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 2.286 * [taylor]: Taking taylor expansion of 3.0 in x 2.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.286 * [taylor]: Taking taylor expansion of x in x 2.294 * * * [progress]: simplifying candidates 2.295 * [simplify]: Simplifying using # : (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (sqrt (* x 3.0)) (sqrt x) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (* (* x 3.0) x))) (* (* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x))) (sqrt (* x 3.0)) (sqrt x) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (log1p (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (* (log (sqrt (sqrt (* (* x 3.0) x)))) 3) (* (log (sqrt (sqrt (* (* x 3.0) x)))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (* (* x 3.0) x))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (* (* x 3.0) x))) (sqrt 3)) (pow (sqrt (sqrt (* (* x 3.0) x))) 1) (pow (* (cbrt (sqrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (sqrt (* (* x 3.0) x))))) 3) (pow (cbrt (sqrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x))))) 3) (pow (sqrt (cbrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt (sqrt (* x 3.0))) 3) (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3) (pow 1 3) (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x)))) (log (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (exp (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (* (cbrt (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (cbrt (pow (sqrt (sqrt (* (* x 3.0) x))) 3))) (cbrt (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (* (* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (pow (* (cbrt (sqrt (sqrt (* (* x 3.0) x)))) (cbrt (sqrt (sqrt (* (* x 3.0) x))))) 3) (pow (cbrt (sqrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt (* (cbrt (sqrt (* (* x 3.0) x))) (cbrt (sqrt (* (* x 3.0) x))))) 3) (pow (sqrt (cbrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt (sqrt (* x 3.0))) 3) (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3) (pow 1 3) (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x)))) (/ 3 2) (sqrt (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (sqrt (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (pow (sqrt (sqrt (* (* x 3.0) x))) (/ 3 2)) (pow (sqrt (sqrt (* (* x 3.0) x))) (/ 3 2)) (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) (* (* x 3.0) x) (* (* x 3.0) x) (+ (+ (log x) (log 3.0)) (log x)) (+ (log (* x 3.0)) (log x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (* (* (* (* x x) x) (* (* 3.0 3.0) 3.0)) (* (* x x) x)) (* (* (* (* x 3.0) (* x 3.0)) (* x 3.0)) (* (* x x) x)) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (* (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (* (* x 3.0) (* (cbrt x) (cbrt x))) (* (* x 3.0) (sqrt x)) (* (* x 3.0) 1) (* 3.0 x) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (- (+ (* +nan.0 (* (pow x 3) (pow (sqrt 3.0) 3))) (- (+ (* +nan.0 (* (pow x 5) (pow (sqrt 3.0) 5))) (- (* +nan.0 (* (pow x 4) (pow (sqrt 3.0) 4)))))))) (- (+ (* +nan.0 (/ (pow (sqrt 3.0) 4) x)) (- (+ (* +nan.0 (pow (sqrt 3.0) 3)) (- (* +nan.0 (/ (pow (sqrt 3.0) 5) (pow x 2)))))))) (- (+ (* +nan.0 (/ (pow (sqrt 3.0) 4) x)) (- (+ (* +nan.0 (pow (sqrt 3.0) 3)) (- (* +nan.0 (/ (pow (sqrt 3.0) 5) (pow x 2)))))))) (* 3.0 (pow x 2)) (* 3.0 (pow x 2)) (* 3.0 (pow x 2)) 2.296 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (* (* h0 h1) h0))) (log1p (sqrt (* (* h0 h1) h0))) (log (sqrt (* (* h0 h1) h0))) (exp (sqrt (* (* h0 h1) h0))) (* (cbrt (sqrt (* (* h0 h1) h0))) (cbrt (sqrt (* (* h0 h1) h0)))) (cbrt (sqrt (* (* h0 h1) h0))) (* (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0))) (sqrt (* (* h0 h1) h0))) (sqrt (* h0 h1)) (sqrt h0) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* h0 h1) h0))) (sqrt (sqrt (* (* h0 h1) h0))) (expm1 (sqrt (* (* h0 h1) h0))) (log1p (sqrt (* (* h0 h1) h0))) (log (sqrt (* (* h0 h1) h0))) (exp (sqrt (* (* h0 h1) h0))) (* (cbrt (sqrt (* (* h0 h1) h0))) (cbrt (sqrt (* (* h0 h1) h0)))) (cbrt (sqrt (* (* h0 h1) h0))) (* (* (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0))) (sqrt (* (* h0 h1) h0))) (sqrt (* h0 h1)) (sqrt h0) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* h0 h1) h0))) (sqrt (sqrt (* (* h0 h1) h0))) (expm1 (pow (sqrt (sqrt (* (* h0 h1) h0))) 3)) (log1p (pow (sqrt (sqrt (* (* h0 h1) h0))) 3)) (* (log (sqrt (sqrt (* (* h0 h1) h0)))) 3) (* (log (sqrt (sqrt (* (* h0 h1) h0)))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (* (* h0 h1) h0))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (* (* h0 h1) h0))) (sqrt 3)) (pow (sqrt (sqrt (* (* h0 h1) h0))) 1) (pow (* (cbrt (sqrt (sqrt (* (* h0 h1) h0)))) (cbrt (sqrt (sqrt (* (* h0 h1) h0))))) 3) (pow (cbrt (sqrt (sqrt (* (* h0 h1) h0)))) 3) (pow (sqrt (* (cbrt (sqrt (* (* h0 h1) h0))) (cbrt (sqrt (* (* h0 h1) h0))))) 3) (pow (sqrt (cbrt (sqrt (* (* h0 h1) h0)))) 3) (pow (sqrt (sqrt (* h0 h1))) 3) (pow (sqrt (sqrt h0)) 3) (pow (sqrt (sqrt (sqrt (* (* h0 h1) h0)))) 3) (pow (sqrt (sqrt (sqrt (* (* h0 h1) h0)))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (* (* h0 h1) h0))) 3) (pow (sqrt (sqrt (sqrt (* (* h0 h1) h0)))) 3) (pow (sqrt (sqrt (sqrt (* (* h0 h1) h0)))) 3) (pow 1 3) (pow (sqrt (sqrt (* (* h0 h1) h0))) 3) (* (sqrt (sqrt (* (* h0 h1) h0))) (sqrt (sqrt (* (* h0 h1) h0)))) (log (pow (sqrt (sqrt (* (* h0 h1) h0))) 3)) (exp (pow (sqrt (sqrt (* (* h0 h1) h0))) 3)) (* (cbrt (pow (sqrt (sqrt (* (* h0 h1) h0))) 3)) (cbrt (pow (sqrt (sqrt (* (* h0 h1) h0))) 3))) (cbrt (pow (sqrt (sqrt (* (* h0 h1) h0))) 3)) (* (* (pow (sqrt (sqrt (* (* h0 h1) h0))) 3) (pow (sqrt (sqrt (* (* h0 h1) h0))) 3)) (pow (sqrt (sqrt (* (* h0 h1) h0))) 3)) (pow (* (cbrt (sqrt (sqrt (* (* h0 h1) h0)))) (cbrt (sqrt (sqrt (* (* h0 h1) h0))))) 3) (pow (cbrt (sqrt (sqrt (* (* h0 h1) h0)))) 3) (pow (sqrt (* (cbrt (sqrt (* (* h0 h1) h0))) (cbrt (sqrt (* (* h0 h1) h0))))) 3) (pow (sqrt (cbrt (sqrt (* (* h0 h1) h0)))) 3) (pow (sqrt (sqrt (* h0 h1))) 3) (pow (sqrt (sqrt h0)) 3) (pow (sqrt (sqrt (sqrt (* (* h0 h1) h0)))) 3) (pow (sqrt (sqrt (sqrt (* (* h0 h1) h0)))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (* (* h0 h1) h0))) 3) (pow (sqrt (sqrt (sqrt (* (* h0 h1) h0)))) 3) (pow (sqrt (sqrt (sqrt (* (* h0 h1) h0)))) 3) (pow 1 3) (pow (sqrt (sqrt (* (* h0 h1) h0))) 3) (* (sqrt (sqrt (* (* h0 h1) h0))) (sqrt (sqrt (* (* h0 h1) h0)))) (/ 3 2) (sqrt (pow (sqrt (sqrt (* (* h0 h1) h0))) 3)) (sqrt (pow (sqrt (sqrt (* (* h0 h1) h0))) 3)) (pow (sqrt (sqrt (* (* h0 h1) h0))) (/ 3 2)) (pow (sqrt (sqrt (* (* h0 h1) h0))) (/ 3 2)) (expm1 (* (* h0 h1) h0)) (log1p (* (* h0 h1) h0)) (* (* h0 h1) h0) (* (* h0 h1) h0) (+ (+ (log h0) (log h1)) (log h0)) (+ (log (* h0 h1)) (log h0)) (log (* (* h0 h1) h0)) (exp (* (* h0 h1) h0)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h0 h0) h0)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h0 h0) h0)) (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0)) (* (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)) (* (* h0 h1) (* (cbrt h0) (cbrt h0))) (* (* h0 h1) (sqrt h0)) (* (* h0 h1) 1) (* h1 h0) (* h0 (sqrt h1)) (* h0 (sqrt h1)) (* -1 (* h0 (sqrt h1))) (* h0 (sqrt h1)) (* h0 (sqrt h1)) (* -1 (* h0 (sqrt h1))) (- (+ (* h2 (* (pow h0 3) (pow (sqrt h1) 3))) (- (+ (* h2 (* (pow h0 5) (pow (sqrt h1) 5))) (- (* h2 (* (pow h0 4) (pow (sqrt h1) 4)))))))) (- (+ (* h2 (/ (pow (sqrt h1) 4) h0)) (- (+ (* h2 (pow (sqrt h1) 3)) (- (* h2 (/ (pow (sqrt h1) 5) (pow h0 2)))))))) (- (+ (* h2 (/ (pow (sqrt h1) 4) h0)) (- (+ (* h2 (pow (sqrt h1) 3)) (- (* h2 (/ (pow (sqrt h1) 5) (pow h0 2)))))))) (* h1 (pow h0 2)) (* h1 (pow h0 2)) (* h1 (pow h0 2)) 2.301 * * [simplify]: iteration 0 : 336 enodes (cost 469 ) 2.310 * * [simplify]: iteration 1 : 1440 enodes (cost 425 ) 2.349 * * [simplify]: iteration 2 : 5001 enodes (cost 402 ) 2.352 * [simplify]: Simplified to: (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (pow (cbrt (sqrt (sqrt (* (* x 3.0) x)))) 4) (cbrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3) (sqrt (* x 3.0)) (sqrt x) 1/2 1/2 1/2 (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (sqrt (* (* x 3.0) x))) (log1p (sqrt (* (* x 3.0) x))) (log (sqrt (* (* x 3.0) x))) (exp (sqrt (* (* x 3.0) x))) (pow (cbrt (sqrt (sqrt (* (* x 3.0) x)))) 4) (cbrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3) (sqrt (* x 3.0)) (sqrt x) 1/2 1/2 1/2 (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))) (expm1 (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (log1p (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (* (log (sqrt (* (* x 3.0) x))) 3/2) (* (log (sqrt (* (* x 3.0) x))) 3/2) 3/2 3 3/4 3/2 3/4 3/4 3/4 (pow (sqrt (sqrt (* (* x 3.0) x))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (* (* x 3.0) x))) (sqrt 3)) (sqrt (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x)) (sqrt (sqrt (* (* x 3.0) x))) (pow (fabs (cbrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt (cbrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt (sqrt (* x 3.0))) 3) (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt (* (* x 3.0) x))) 3/2) (pow (sqrt (sqrt (* (* x 3.0) x))) 3/2) 1 (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (pow (sqrt (sqrt (* (* x 3.0) x))) 3/2) (pow (sqrt (sqrt (* (* x 3.0) x))) 3/2) 1 (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (* (* x 3.0) x)) (* (log (sqrt (* (* x 3.0) x))) 3/2) (exp (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (sqrt (* (* x 3.0) x)) (sqrt (sqrt (* (* x 3.0) x))) (pow (pow (sqrt (sqrt (* (* x 3.0) x))) 3) 3) (sqrt (* (* x 3.0) x)) (sqrt (sqrt (* (* x 3.0) x))) (pow (fabs (cbrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt (cbrt (sqrt (* (* x 3.0) x)))) 3) (pow (sqrt (sqrt (* x 3.0))) 3) (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt (* (* x 3.0) x))) 3/2) (pow (sqrt (sqrt (* (* x 3.0) x))) 3/2) 1 (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (pow (sqrt (sqrt (* (* x 3.0) x))) 3/2) (pow (sqrt (sqrt (* (* x 3.0) x))) 3/2) 1 (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (* (* x 3.0) x)) 3/2 (sqrt (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (sqrt (pow (sqrt (sqrt (* (* x 3.0) x))) 3)) (pow (sqrt (sqrt (* (* x 3.0) x))) 3/2) (pow (sqrt (sqrt (* (* x 3.0) x))) 3/2) (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) (* (* x 3.0) x) (* (* x 3.0) x) (log (* (* x 3.0) x)) (log (* (* x 3.0) x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (pow (* (* x 3.0) x) 3) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (pow (* (* x 3.0) x) 3) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (* (* x 3.0) (* (cbrt x) (cbrt x))) (* (* x 3.0) (sqrt x)) (* x 3.0) (* x 3.0) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* x (sqrt 3.0)) (* x (sqrt 3.0)) (* -1 (* x (sqrt 3.0))) (* +nan.0 (+ (- (* (pow x 3) (pow (sqrt 3.0) 3))) (fma (- (pow x 4)) (* 3.0 3.0) (* (pow x 5) (pow (sqrt 3.0) 5))))) (fma (- +nan.0) (/ 3.0 (/ x 3.0)) (* +nan.0 (- (pow (sqrt 3.0) 3) (/ (pow (sqrt 3.0) 5) (pow x 2))))) (fma (- +nan.0) (/ 3.0 (/ x 3.0)) (* +nan.0 (- (pow (sqrt 3.0) 3) (/ (pow (sqrt 3.0) 5) (pow x 2))))) (* (* x 3.0) x) (* (* x 3.0) x) (* (* x 3.0) x) 2.353 * * * [progress]: adding candidates to table 2.566 * [progress]: [Phase 3 of 3] Extracting. 2.566 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.567 * * * [regime-changes]: Trying 2 branch expressions: ((* (* x 3.0) x) x) 2.567 * * * * [regimes]: Trying to branch on (* (* x 3.0) x) from (# # # # # # # # # #) 2.591 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 2.620 * * * [regime]: Found split indices: #