8.154 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.075 * * * [progress]: [2/2] Setting up program. 0.077 * [progress]: [Phase 2 of 3] Improving. 0.078 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (neg x))) 2.0) 0.080 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.081 * * [simplify]: iteration 1 : 23 enodes (cost 5 ) 0.082 * * [simplify]: iteration 2 : 31 enodes (cost 5 ) 0.083 * * [simplify]: iteration 3 : 36 enodes (cost 5 ) 0.084 * * [simplify]: iteration 4 : 41 enodes (cost 5 ) 0.086 * * [simplify]: iteration 5 : 65 enodes (cost 5 ) 0.087 * * [simplify]: iteration 6 : 103 enodes (cost 5 ) 0.089 * * [simplify]: iteration 7 : 243 enodes (cost 5 ) 0.100 * * [simplify]: iteration 8 : 1563 enodes (cost 5 ) 0.218 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.219 * [simplify]: Simplified to: (/ (- (exp x) (exp (neg x))) 2.0) 0.220 * * [progress]: iteration 1 / 4 0.220 * * * [progress]: picking best candidate 0.222 * * * * [pick]: Picked # 0.222 * * * [progress]: localizing error 0.228 * * * [progress]: generating rewritten candidates 0.228 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.234 * * * [progress]: generating series expansions 0.234 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.234 * [approximate]: Taking taylor expansion of (- (exp x) (exp (neg x))) in (x) around 0 0.234 * [taylor]: Taking taylor expansion of (- (exp x) (exp (neg x))) in x 0.234 * [taylor]: Taking taylor expansion of (exp x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.234 * [taylor]: Taking taylor expansion of (neg x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (- (exp x) (exp (neg x))) in x 0.234 * [taylor]: Taking taylor expansion of (exp x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.234 * [taylor]: Taking taylor expansion of (neg x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.237 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in (x) around 0 0.237 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.237 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.237 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.237 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.237 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.238 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.238 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.238 * [taylor]: Taking taylor expansion of -1 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.238 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.238 * [taylor]: Taking taylor expansion of -1 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.239 * * * [progress]: simplifying candidates 0.239 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp (exp (neg x)))) (log (- (exp x) (exp (neg x)))) (exp (- (exp x) (exp (neg x)))) (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (cbrt (- (exp x) (exp (neg x)))) (* (* (- (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (- (pow (exp x) 3) (pow (exp (neg x)) 3)) (+ (* (exp x) (exp x)) (+ (* (exp (neg x)) (exp (neg x))) (* (exp x) (exp (neg x))))) (neg (exp (neg x))) (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))) (- (exp x) (exp (neg x))) (neg (exp (neg x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (neg x))) (- (exp x) (exp (* -1 x))) 0.242 * * [simplify]: iteration 0 : 100 enodes (cost 120 ) 0.244 * * [simplify]: iteration 1 : 257 enodes (cost 106 ) 0.249 * * [simplify]: iteration 2 : 785 enodes (cost 105 ) 0.270 * * [simplify]: iteration 3 : 5001 enodes (cost 103 ) 0.271 * [simplify]: Simplified to: (exp (- (exp x) (exp (neg x)))) (log (- (exp x) (exp (neg x)))) (exp (- (exp x) (exp (neg x)))) (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (cbrt (- (exp x) (exp (neg x)))) (pow (- (exp x) (exp (* -1 x))) 3) (sqrt (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (- (pow (exp x) 3) (pow (exp (neg x)) 3)) (+ (+ 1 (exp (+ x x))) (pow (exp x) -2)) (/ -1 (exp x)) (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))) (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))) (- (exp x) (exp (* -1 x))) (/ -1 (exp x)) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (* -1 x))) (- (exp x) (exp (* -1 x))) 0.272 * * * [progress]: adding candidates to table 0.305 * * [progress]: iteration 2 / 4 0.305 * * * [progress]: picking best candidate 0.311 * * * * [pick]: Picked # 0.311 * * * [progress]: localizing error 0.323 * * * [progress]: generating rewritten candidates 0.323 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.330 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 0.335 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.345 * * * [progress]: generating series expansions 0.345 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.345 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 0.345 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.345 * [taylor]: Taking taylor expansion of 1/3 in x 0.345 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.345 * [taylor]: Taking taylor expansion of 1/3 in x 0.345 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.346 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 0.346 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.346 * [taylor]: Taking taylor expansion of 1/3 in x 0.346 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.347 * [taylor]: Taking taylor expansion of 1/3 in x 0.347 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.348 * [taylor]: Taking taylor expansion of -1/3 in x 0.348 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.348 * [taylor]: Taking taylor expansion of -1/3 in x 0.348 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 0.349 * [approximate]: Taking taylor expansion of (* 1/60 (pow x 5)) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 0.349 * [taylor]: Taking taylor expansion of 1/60 in x 0.349 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 0.350 * [taylor]: Taking taylor expansion of 1/60 in x 0.350 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.351 * [approximate]: Taking taylor expansion of (/ 1/60 (pow x 5)) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (/ 1/60 (pow x 5)) in x 0.351 * [taylor]: Taking taylor expansion of 1/60 in x 0.351 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (/ 1/60 (pow x 5)) in x 0.351 * [taylor]: Taking taylor expansion of 1/60 in x 0.351 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.353 * [approximate]: Taking taylor expansion of (/ -1/60 (pow x 5)) in (x) around 0 0.353 * [taylor]: Taking taylor expansion of (/ -1/60 (pow x 5)) in x 0.353 * [taylor]: Taking taylor expansion of -1/60 in x 0.353 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (/ -1/60 (pow x 5)) in x 0.353 * [taylor]: Taking taylor expansion of -1/60 in x 0.353 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.354 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.354 * [approximate]: Taking taylor expansion of (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) in x 0.355 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.355 * [taylor]: Taking taylor expansion of 1/3 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (+ (* 1/60 (pow x 5)) (* 2 x)) in x 0.355 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 0.355 * [taylor]: Taking taylor expansion of 1/60 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.355 * [taylor]: Taking taylor expansion of 2 in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) in x 0.355 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.355 * [taylor]: Taking taylor expansion of 1/3 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (+ (* 1/60 (pow x 5)) (* 2 x)) in x 0.355 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 0.355 * [taylor]: Taking taylor expansion of 1/60 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.355 * [taylor]: Taking taylor expansion of 2 in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 0.356 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of 2 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 0.356 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 0.356 * [taylor]: Taking taylor expansion of 1/60 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.356 * [taylor]: Taking taylor expansion of 1/3 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 0.356 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of 2 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 0.357 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 0.357 * [taylor]: Taking taylor expansion of 1/60 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.357 * [taylor]: Taking taylor expansion of 1/3 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.358 * [approximate]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))))) in (x) around 0 0.358 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))))) in x 0.358 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 0.358 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of 2 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 0.359 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 0.359 * [taylor]: Taking taylor expansion of 1/60 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.359 * [taylor]: Taking taylor expansion of 1/3 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))))) in x 0.359 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 0.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of 2 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 0.359 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 0.359 * [taylor]: Taking taylor expansion of 1/60 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.359 * [taylor]: Taking taylor expansion of 1/3 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.361 * * * [progress]: simplifying candidates 0.362 * [simplify]: Simplifying using # : (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (log (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (* (* (* 1/3 1/3) 1/3) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (* (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x (/ 3 2))) (* (sqrt 1/3) (pow x (/ 3 2))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 (* x x)) (* 1/3 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 x) (* 1/3 (sqrt (pow x 3))) (* 1/3 1) (* 1/3 (pow x (/ 3 2))) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (+ (log 1/60) (* (log x) 5)) (+ (log 1/60) (* (log x) 5)) (+ (log 1/60) (log (pow x 5))) (log (* 1/60 (pow x 5))) (exp (* 1/60 (pow x 5))) (* (* (* 1/60 1/60) 1/60) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 1/60 (pow x 5))) (cbrt (* 1/60 (pow x 5)))) (cbrt (* 1/60 (pow x 5))) (* (* (* 1/60 (pow x 5)) (* 1/60 (pow x 5))) (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (pow x (/ 5 2))) (* (sqrt 1/60) (pow x (/ 5 2))) (* 1/60 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/60 (pow (sqrt x) 5)) (* 1/60 (pow 1 5)) (* 1/60 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/60 (sqrt (pow x 5))) (* 1/60 1) (* 1/60 (pow x (/ 5 2))) (* (cbrt 1/60) (pow x 5)) (* (sqrt 1/60) (pow x 5)) (* 1/60 (pow x 5)) (* (exp (* 1/3 (pow x 3))) (* (exp (* 1/60 (pow x 5))) (exp (* 2 x)))) (* (exp (* 1/3 (pow x 3))) (exp (+ (* 1/60 (pow x 5)) (* 2 x)))) (log (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (exp (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (* (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (* (* (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sqrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sqrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (+ (pow (* 1/3 (pow x 3)) 3) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3)) (+ (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (- (* (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/60 (pow x 5)) (* 2 x))) (* (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))) (- (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (- (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) 0.367 * * [simplify]: iteration 0 : 300 enodes (cost 375 ) 0.374 * * [simplify]: iteration 1 : 1301 enodes (cost 346 ) 0.408 * * [simplify]: iteration 2 : 5001 enodes (cost 346 ) 0.411 * [simplify]: Simplified to: (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x 3/2)) (* (sqrt 1/3) (pow x 3/2)) (* (* 1/3 x) x) (* 1/3 (pow (sqrt x) 3)) 1/3 (* (* 1/3 x) x) (* (* 1/3 x) x) (* (* 1/3 x) x) (* 1/3 (pow (sqrt x) 3)) 1/3 (* 1/3 x) (* 1/3 (sqrt (pow x 3))) 1/3 (* 1/3 (pow x 3/2)) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (exp (* 1/60 (pow x 5))) (pow (* 1/60 (pow x 5)) 3) (* (cbrt (* 1/60 (pow x 5))) (cbrt (* 1/60 (pow x 5)))) (cbrt (* 1/60 (pow x 5))) (pow (* 1/60 (pow x 5)) 3) (sqrt (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (pow x 5/2)) (* (sqrt 1/60) (pow x 5/2)) (* 1/60 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/60 (pow (sqrt x) 5)) 1/60 (* 1/60 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/60 (sqrt (pow x 5))) 1/60 (* 1/60 (pow x 5/2)) (* (cbrt 1/60) (pow x 5)) (* (sqrt 1/60) (pow x 5)) (* 1/60 (pow x 5)) (exp (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (exp (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (log (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (exp (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (* (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (pow (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 3) (sqrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sqrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (+ (pow (* 1/3 (pow x 3)) 3) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3)) (+ (* (+ (* 1/60 (pow x 5)) (* 2 x)) (- (+ (* 1/60 (pow x 5)) (* 2 x)) (* 1/3 (pow x 3)))) (* 1/9 (* (pow x 3) (pow x 3)))) (+ (neg (* (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (* (pow x 6) 1/9)) (- (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 0.412 * * * [progress]: adding candidates to table 0.530 * * [progress]: iteration 3 / 4 0.530 * * * [progress]: picking best candidate 0.536 * * * * [pick]: Picked # 0.536 * * * [progress]: localizing error 0.548 * * * [progress]: generating rewritten candidates 0.549 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1) 0.555 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 0.564 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.570 * * * [progress]: generating series expansions 0.571 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1) 0.571 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 0.571 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.571 * [taylor]: Taking taylor expansion of 1/3 in x 0.571 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.571 * [taylor]: Taking taylor expansion of 1/3 in x 0.571 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.572 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 0.572 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.572 * [taylor]: Taking taylor expansion of 1/3 in x 0.572 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.572 * [taylor]: Taking taylor expansion of 1/3 in x 0.572 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.574 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 0.574 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.574 * [taylor]: Taking taylor expansion of -1/3 in x 0.574 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.574 * [taylor]: Taking taylor expansion of -1/3 in x 0.574 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.575 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 0.575 * [approximate]: Taking taylor expansion of (* 1/60 (pow x 5)) in (x) around 0 0.575 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 0.575 * [taylor]: Taking taylor expansion of 1/60 in x 0.575 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 0.575 * [taylor]: Taking taylor expansion of 1/60 in x 0.575 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.577 * [approximate]: Taking taylor expansion of (/ 1/60 (pow x 5)) in (x) around 0 0.577 * [taylor]: Taking taylor expansion of (/ 1/60 (pow x 5)) in x 0.577 * [taylor]: Taking taylor expansion of 1/60 in x 0.577 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (/ 1/60 (pow x 5)) in x 0.577 * [taylor]: Taking taylor expansion of 1/60 in x 0.577 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.579 * [approximate]: Taking taylor expansion of (/ -1/60 (pow x 5)) in (x) around 0 0.579 * [taylor]: Taking taylor expansion of (/ -1/60 (pow x 5)) in x 0.579 * [taylor]: Taking taylor expansion of -1/60 in x 0.579 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (/ -1/60 (pow x 5)) in x 0.579 * [taylor]: Taking taylor expansion of -1/60 in x 0.579 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.581 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.581 * [approximate]: Taking taylor expansion of (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) in (x) around 0 0.581 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) in x 0.581 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.581 * [taylor]: Taking taylor expansion of 1/3 in x 0.581 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 0.581 * [taylor]: Taking taylor expansion of 1/60 in x 0.581 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) in x 0.581 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.581 * [taylor]: Taking taylor expansion of 1/3 in x 0.581 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 0.581 * [taylor]: Taking taylor expansion of 1/60 in x 0.581 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.584 * [approximate]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in (x) around 0 0.584 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 0.584 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 0.584 * [taylor]: Taking taylor expansion of 1/60 in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.584 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.584 * [taylor]: Taking taylor expansion of 1/3 in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.584 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 0.584 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 0.584 * [taylor]: Taking taylor expansion of 1/60 in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.585 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.585 * [taylor]: Taking taylor expansion of 1/3 in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.585 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.589 * [approximate]: Taking taylor expansion of (neg (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in (x) around 0 0.589 * [taylor]: Taking taylor expansion of (neg (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 0.589 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 0.589 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 0.589 * [taylor]: Taking taylor expansion of 1/60 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.589 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.589 * [taylor]: Taking taylor expansion of 1/3 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.589 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (neg (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 0.589 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 0.589 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 0.589 * [taylor]: Taking taylor expansion of 1/60 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.589 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.589 * [taylor]: Taking taylor expansion of 1/3 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.589 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.593 * * * [progress]: simplifying candidates 0.594 * [simplify]: Simplifying using # : (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (log (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (* (* (* 1/3 1/3) 1/3) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (* (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x (/ 3 2))) (* (sqrt 1/3) (pow x (/ 3 2))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 (* x x)) (* 1/3 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 x) (* 1/3 (sqrt (pow x 3))) (* 1/3 1) (* 1/3 (pow x (/ 3 2))) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (+ (log 1/60) (* (log x) 5)) (+ (log 1/60) (* (log x) 5)) (+ (log 1/60) (log (pow x 5))) (log (* 1/60 (pow x 5))) (exp (* 1/60 (pow x 5))) (* (* (* 1/60 1/60) 1/60) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 1/60 (pow x 5))) (cbrt (* 1/60 (pow x 5)))) (cbrt (* 1/60 (pow x 5))) (* (* (* 1/60 (pow x 5)) (* 1/60 (pow x 5))) (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (pow x (/ 5 2))) (* (sqrt 1/60) (pow x (/ 5 2))) (* 1/60 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/60 (pow (sqrt x) 5)) (* 1/60 (pow 1 5)) (* 1/60 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/60 (sqrt (pow x 5))) (* 1/60 1) (* 1/60 (pow x (/ 5 2))) (* (cbrt 1/60) (pow x 5)) (* (sqrt 1/60) (pow x 5)) (* 1/60 (pow x 5)) (* (exp (* 1/3 (pow x 3))) (exp (* 1/60 (pow x 5)))) (log (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (exp (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (* (cbrt (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (cbrt (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))) (cbrt (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (* (* (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (sqrt (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (sqrt (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (+ (pow (* 1/3 (pow x 3)) 3) (pow (* 1/60 (pow x 5)) 3)) (+ (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (- (* (* 1/60 (pow x 5)) (* 1/60 (pow x 5))) (* (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))) (- (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* (* 1/60 (pow x 5)) (* 1/60 (pow x 5)))) (- (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) 0.600 * * [simplify]: iteration 0 : 268 enodes (cost 317 ) 0.606 * * [simplify]: iteration 1 : 1130 enodes (cost 291 ) 0.638 * * [simplify]: iteration 2 : 5001 enodes (cost 290 ) 0.641 * [simplify]: Simplified to: (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x 3/2)) (* (sqrt 1/3) (pow x 3/2)) (* (* 1/3 x) x) (* 1/3 (pow (sqrt x) 3)) 1/3 (* (* 1/3 x) x) (* (* 1/3 x) x) (* (* 1/3 x) x) (* 1/3 (pow (sqrt x) 3)) 1/3 (* 1/3 x) (* 1/3 (sqrt (pow x 3))) 1/3 (* 1/3 (pow x 3/2)) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (exp (* 1/60 (pow x 5))) (pow (* 1/60 (pow x 5)) 3) (* (cbrt (* 1/60 (pow x 5))) (cbrt (* 1/60 (pow x 5)))) (cbrt (* 1/60 (pow x 5))) (pow (* 1/60 (pow x 5)) 3) (sqrt (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (pow x 5/2)) (* (sqrt 1/60) (pow x 5/2)) (* 1/60 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/60 (pow (sqrt x) 5)) 1/60 (* 1/60 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/60 (sqrt (pow x 5))) 1/60 (* 1/60 (pow x 5/2)) (* (cbrt 1/60) (pow x 5)) (* (sqrt 1/60) (pow x 5)) (* 1/60 (pow x 5)) (exp (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (log (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (exp (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (* (cbrt (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (cbrt (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))) (cbrt (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (pow (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) 3) (sqrt (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (sqrt (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (+ (pow (* 1/3 (pow x 3)) 3) (pow (* 1/60 (pow x 5)) 3)) (+ (* (pow x 10) 1/3600) (- (* (pow x 6) 1/9) (* (pow x 5) (* (pow x 3) 1/180)))) (+ (* -1/3600 (pow x 10)) (* (pow x 6) 1/9)) (- (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) 0.642 * * * [progress]: adding candidates to table 0.961 * * [progress]: iteration 4 / 4 0.961 * * * [progress]: picking best candidate 0.964 * * * * [pick]: Picked # 0.964 * * * [progress]: localizing error 0.973 * * * [progress]: generating rewritten candidates 0.974 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 1) 0.979 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.986 * * * [progress]: generating series expansions 0.986 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 1) 0.986 * [approximate]: Taking taylor expansion of (- (exp x) (exp (neg x))) in (x) around 0 0.986 * [taylor]: Taking taylor expansion of (- (exp x) (exp (neg x))) in x 0.986 * [taylor]: Taking taylor expansion of (exp x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.986 * [taylor]: Taking taylor expansion of (neg x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (- (exp x) (exp (neg x))) in x 0.986 * [taylor]: Taking taylor expansion of (exp x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.986 * [taylor]: Taking taylor expansion of (neg x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.989 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in (x) around 0 0.989 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.989 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.989 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.990 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.990 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 0.990 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.990 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.990 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.990 * [taylor]: Taking taylor expansion of -1 in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.990 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.990 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.991 * [taylor]: Taking taylor expansion of -1 in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.991 * [approximate]: Taking taylor expansion of (- (exp x) (exp (neg x))) in (x) around 0 0.991 * [taylor]: Taking taylor expansion of (- (exp x) (exp (neg x))) in x 0.991 * [taylor]: Taking taylor expansion of (exp x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.991 * [taylor]: Taking taylor expansion of (neg x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (- (exp x) (exp (neg x))) in x 0.991 * [taylor]: Taking taylor expansion of (exp x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.991 * [taylor]: Taking taylor expansion of (neg x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.995 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in (x) around 0 0.995 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.995 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.995 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.995 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.995 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.996 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 0.996 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.996 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.996 * [taylor]: Taking taylor expansion of -1 in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.996 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.996 * [taylor]: Taking taylor expansion of -1 in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.997 * * * [progress]: simplifying candidates 0.997 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp (exp (neg x)))) (log (- (exp x) (exp (neg x)))) (exp (- (exp x) (exp (neg x)))) (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (cbrt (- (exp x) (exp (neg x)))) (* (* (- (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (- (pow (exp x) 3) (pow (exp (neg x)) 3)) (+ (* (exp x) (exp x)) (+ (* (exp (neg x)) (exp (neg x))) (* (exp x) (exp (neg x))))) (neg (exp (neg x))) (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))) (- (exp x) (exp (neg x))) (neg (exp (neg x))) (exp 1) (exp (* (cbrt (log (- (exp x) (exp (neg x))))) (cbrt (log (- (exp x) (exp (neg x))))))) (exp (sqrt (log (- (exp x) (exp (neg x)))))) (exp 1) (exp (log (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))))) (exp (log (cbrt (- (exp x) (exp (neg x)))))) (exp (log (sqrt (- (exp x) (exp (neg x)))))) (exp (log (sqrt (- (exp x) (exp (neg x)))))) (exp (log 1)) (exp (log (- (exp x) (exp (neg x))))) (exp (log (+ (sqrt (exp x)) (sqrt (exp (neg x)))))) (exp (log (- (sqrt (exp x)) (sqrt (exp (neg x)))))) (exp (log 1)) (exp (log (- (exp x) (exp (neg x))))) (exp (log (- (pow (exp x) 3) (pow (exp (neg x)) 3)))) (exp (log (+ (* (exp x) (exp x)) (+ (* (exp (neg x)) (exp (neg x))) (* (exp x) (exp (neg x))))))) (exp (log (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x)))))) (exp (log (+ (exp x) (exp (neg x))))) (log (exp (log (- (exp x) (exp (neg x)))))) (exp (exp (log (- (exp x) (exp (neg x)))))) (* (cbrt (exp (log (- (exp x) (exp (neg x)))))) (cbrt (exp (log (- (exp x) (exp (neg x))))))) (cbrt (exp (log (- (exp x) (exp (neg x)))))) (* (* (exp (log (- (exp x) (exp (neg x))))) (exp (log (- (exp x) (exp (neg x)))))) (exp (log (- (exp x) (exp (neg x)))))) (sqrt (exp (log (- (exp x) (exp (neg x)))))) (sqrt (exp (log (- (exp x) (exp (neg x)))))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (neg x))) (- (exp x) (exp (* -1 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (neg x))) (- (exp x) (exp (* -1 x))) 1.001 * * [simplify]: iteration 0 : 143 enodes (cost 280 ) 1.004 * * [simplify]: iteration 1 : 318 enodes (cost 254 ) 1.009 * * [simplify]: iteration 2 : 922 enodes (cost 243 ) 1.032 * * [simplify]: iteration 3 : 5001 enodes (cost 233 ) 1.034 * [simplify]: Simplified to: (exp (- (exp x) (exp (neg x)))) (log (- (exp x) (exp (neg x)))) (exp (- (exp x) (exp (neg x)))) (pow (cbrt (- (exp x) (exp (neg x)))) 2) (cbrt (- (exp x) (exp (neg x)))) (pow (- (exp x) (exp (neg x))) 3) (sqrt (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (- (pow (exp x) 3) (pow (exp (neg x)) 3)) (+ (+ (exp (+ x x)) 1) (pow (exp x) -2)) (/ -1 (exp x)) (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))) (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))) (- (exp x) (exp (neg x))) (/ -1 (exp x)) E (exp (* (cbrt (log (- (exp x) (exp (neg x))))) (cbrt (log (- (exp x) (exp (neg x))))))) (exp (sqrt (log (- (exp x) (exp (neg x)))))) E (pow (cbrt (- (exp x) (exp (neg x)))) 2) (cbrt (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) 1 (- (exp x) (exp (neg x))) (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))) 1 (- (exp x) (exp (neg x))) (- (pow (exp x) 3) (pow (exp (neg x)) 3)) (+ (+ (exp (+ x x)) 1) (pow (exp x) -2)) (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))) (log (- (exp x) (exp (neg x)))) (exp (- (exp x) (exp (neg x)))) (pow (cbrt (- (exp x) (exp (neg x)))) 2) (cbrt (- (exp x) (exp (neg x)))) (pow (- (exp x) (exp (neg x))) 3) (sqrt (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (neg x))) (- (exp x) (exp (neg x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (neg x))) (- (exp x) (exp (neg x))) 1.034 * * * [progress]: adding candidates to table 1.076 * [progress]: [Phase 3 of 3] Extracting. 1.076 * * [regime]: Finding splitpoints for: (# # #) 1.076 * * * [regime-changes]: Trying 3 branch expressions: ((- (exp x) (exp (neg x))) (/ (- (exp x) (exp (neg x))) 2.0) x) 1.076 * * * * [regimes]: Trying to branch on (- (exp x) (exp (neg x))) from (# # #) 1.106 * * * * [regimes]: Trying to branch on (- (exp x) (exp (neg x))) from (# #) 1.136 * * * * [regimes]: Trying to branch on (/ (- (exp x) (exp (neg x))) 2.0) from (# # #) 1.167 * * * * [regimes]: Trying to branch on x from (# # #) 1.199 * * * [regime]: Found split indices: #