21.334 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.018 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.036 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.049 * [taylor]: Taking taylor expansion of -1 in y 0.049 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.049 * [taylor]: Taking taylor expansion of -1 in x 0.049 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.050 * [taylor]: Taking taylor expansion of -1 in x 0.050 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of -1 in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * * * [progress]: simplifying candidates 0.058 * [simplify]: Simplifying using # : (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (- (log x) (+ (log y) (log y))) (- (log x) (log (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (/ (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (/ (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (- x) (- (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.061 * * [simplify]: iteration 0 : 101 enodes (cost 92 ) 0.064 * * [simplify]: iteration 1 : 322 enodes (cost 77 ) 0.069 * * [simplify]: iteration 2 : 957 enodes (cost 77 ) 0.087 * * [simplify]: iteration 3 : 4517 enodes (cost 77 ) 0.151 * * [simplify]: iteration 4 : 5002 enodes (cost 77 ) 0.152 * [simplify]: Simplified to: (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (pow (/ x (* y y)) 3) (pow (/ x (* y y)) 3) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (pow (/ x (* y y)) 3) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (- x) (- (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 0.152 * * * [progress]: adding candidates to table 0.186 * * [progress]: iteration 2 / 4 0.186 * * * [progress]: picking best candidate 0.196 * * * * [pick]: Picked # 0.196 * * * [progress]: localizing error 0.200 * * * [progress]: generating rewritten candidates 0.200 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.209 * * * [progress]: generating series expansions 0.210 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.210 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.210 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.222 * [taylor]: Taking taylor expansion of -1 in y 0.222 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.223 * [taylor]: Taking taylor expansion of -1 in x 0.223 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.223 * [taylor]: Taking taylor expansion of -1 in x 0.223 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.223 * [taylor]: Taking taylor expansion of -1 in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * * * [progress]: simplifying candidates 0.232 * [simplify]: Simplifying using # : (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (- (- (log x) (log y)) (log y)) (- (log (/ x y)) (log y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (/ (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (/ (* (* (/ x y) (/ x y)) (/ x y)) (* (* y y) y)) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (* (* (/ (/ x y) y) (/ (/ x y) y)) (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- (/ x y)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) 1) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) 1) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) 1) (/ (/ (cbrt x) (sqrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) 1) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) (sqrt y)) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) 1) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (sqrt x) (cbrt y)) (sqrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) 1) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) 1) (/ (/ (sqrt x) (sqrt y)) y) (/ (/ (sqrt x) 1) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) 1) (sqrt y)) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) 1) 1) (/ (/ (sqrt x) y) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) 1) (/ (/ x (cbrt y)) y) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ (/ 1 (sqrt y)) (sqrt y)) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ 1 (sqrt y)) 1) (/ (/ x (sqrt y)) y) (/ (/ 1 1) (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 1) (sqrt y)) (/ (/ x y) (sqrt y)) (/ (/ 1 1) 1) (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 1) (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) (/ x 1) (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ (/ x y) 1) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ y (/ x (sqrt y))) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ 1 y)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.237 * * [simplify]: iteration 0 : 313 enodes (cost 455 ) 0.242 * * [simplify]: iteration 1 : 1182 enodes (cost 421 ) 0.262 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.265 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- (/ x y)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (sqrt (/ x y)) (/ (sqrt (/ x y)) y) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (pow (cbrt y) 3))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (cbrt x) (/ y (cbrt x))) (/ (cbrt x) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) y) (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (cbrt y)) (pow (cbrt y) 3)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (sqrt x) (/ (/ (sqrt x) y) y) (/ (/ 1 (cbrt y)) (pow (cbrt y) 3)) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) 1 (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) 1 (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) x (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ y (/ x (sqrt y))) (/ y (/ x y)) (/ y (/ x y)) (pow y 2) (pow y 2) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 0.266 * * * [progress]: adding candidates to table 0.367 * * [progress]: iteration 3 / 4 0.367 * * * [progress]: picking best candidate 0.372 * * * * [pick]: Picked # 0.372 * * * [progress]: localizing error 0.378 * * * [progress]: generating rewritten candidates 0.378 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.391 * * * [progress]: generating series expansions 0.391 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.391 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.391 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of 0 in x 0.394 * [taylor]: Taking taylor expansion of 0 in x 0.396 * [taylor]: Taking taylor expansion of 0 in x 0.396 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.396 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of 0 in x 0.399 * [taylor]: Taking taylor expansion of 0 in x 0.400 * [taylor]: Taking taylor expansion of 0 in x 0.401 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 0.401 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.401 * [taylor]: Taking taylor expansion of -1 in x 0.401 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.402 * [taylor]: Taking taylor expansion of -1 in y 0.402 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.402 * [taylor]: Taking taylor expansion of -1 in y 0.402 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.402 * [taylor]: Taking taylor expansion of -1 in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of 0 in x 0.405 * [taylor]: Taking taylor expansion of 0 in x 0.407 * [taylor]: Taking taylor expansion of 0 in x 0.408 * * * [progress]: simplifying candidates 0.408 * [simplify]: Simplifying using # : (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y)) (+ (- (log y)) (- (log x) (log y))) (+ (- (log y)) (log (/ x y))) (+ (- 0 (log y)) (- (log x) (log y))) (+ (- 0 (log y)) (log (/ x y))) (+ (- (log 1) (log y)) (- (log x) (log y))) (+ (- (log 1) (log y)) (log (/ x y))) (+ (log (/ 1 y)) (- (log x) (log y))) (+ (log (/ 1 y)) (log (/ x y))) (log (* (/ 1 y) (/ x y))) (exp (* (/ 1 y) (/ x y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (/ (* (* x x) x) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (/ (* (* x x) x) (* (* y y) y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (* (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (* 1 x) (* y y) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ 1 y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (/ (sqrt x) 1)) (* (/ 1 y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ 1 (sqrt y))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) 1) (* (/ 1 y) x) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (* (/ (cbrt 1) (cbrt y)) (/ x y)) (* (/ (cbrt 1) (sqrt y)) (/ x y)) (* (/ (cbrt 1) y) (/ x y)) (* (/ (sqrt 1) (cbrt y)) (/ x y)) (* (/ (sqrt 1) (sqrt y)) (/ x y)) (* (/ (sqrt 1) y) (/ x y)) (* (/ 1 (cbrt y)) (/ x y)) (* (/ 1 (sqrt y)) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) x) (* 1 (/ x y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.413 * * [simplify]: iteration 0 : 324 enodes (cost 305 ) 0.420 * * [simplify]: iteration 1 : 1606 enodes (cost 255 ) 0.449 * * [simplify]: iteration 2 : 5002 enodes (cost 219 ) 0.451 * [simplify]: Simplified to: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (/ x (pow y 2)) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (exp (/ x (pow y 2))) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (pow (/ (/ x y) y) 3) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) x (pow y 2) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt x) y) (/ (sqrt x) y) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) y) (/ (* (cbrt x) (cbrt x)) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) y) (/ (sqrt x) (* (sqrt y) y)) (/ (sqrt x) y) (/ (/ 1 y) (* (cbrt y) (cbrt y))) (/ (/ 1 y) (sqrt y)) (/ 1 y) (/ 1 y) (/ x y) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x y) (/ x y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.452 * * * [progress]: adding candidates to table 0.521 * * [progress]: iteration 4 / 4 0.521 * * * [progress]: picking best candidate 0.525 * * * * [pick]: Picked # 0.525 * * * [progress]: localizing error 0.538 * * * [progress]: generating rewritten candidates 0.538 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 0.539 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 0.540 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.541 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.549 * * * [progress]: generating series expansions 0.549 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 0.549 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.549 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.549 * [taylor]: Taking taylor expansion of 1/3 in x 0.549 * [taylor]: Taking taylor expansion of (log x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.550 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.550 * [taylor]: Taking taylor expansion of 1/3 in x 0.550 * [taylor]: Taking taylor expansion of (log x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.597 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.597 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of 1/3 in x 0.597 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.598 * [taylor]: Taking taylor expansion of 1/3 in x 0.598 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.653 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.653 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.653 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.653 * [taylor]: Taking taylor expansion of -1 in x 0.654 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.654 * [taylor]: Taking taylor expansion of 1/3 in x 0.654 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.655 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.655 * [taylor]: Taking taylor expansion of -1 in x 0.656 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.656 * [taylor]: Taking taylor expansion of 1/3 in x 0.656 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.724 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 0.724 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.724 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.724 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.724 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.724 * [taylor]: Taking taylor expansion of 1/3 in x 0.724 * [taylor]: Taking taylor expansion of (log x) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.725 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.725 * [taylor]: Taking taylor expansion of 1/3 in x 0.725 * [taylor]: Taking taylor expansion of (log x) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.779 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.779 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.779 * [taylor]: Taking taylor expansion of 1/3 in x 0.779 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.780 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.780 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.780 * [taylor]: Taking taylor expansion of 1/3 in x 0.780 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.829 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.829 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.829 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.829 * [taylor]: Taking taylor expansion of -1 in x 0.830 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.830 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.830 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.830 * [taylor]: Taking taylor expansion of 1/3 in x 0.830 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.831 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.831 * [taylor]: Taking taylor expansion of -1 in x 0.831 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.832 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.832 * [taylor]: Taking taylor expansion of 1/3 in x 0.832 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.898 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.898 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.898 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.898 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.898 * [taylor]: Taking taylor expansion of 1/3 in x 0.898 * [taylor]: Taking taylor expansion of (log x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.899 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.899 * [taylor]: Taking taylor expansion of 1/3 in x 0.899 * [taylor]: Taking taylor expansion of (log x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.951 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.951 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.951 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.951 * [taylor]: Taking taylor expansion of 1/3 in x 0.951 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.952 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.952 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.952 * [taylor]: Taking taylor expansion of 1/3 in x 0.952 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 1.008 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.008 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.008 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.008 * [taylor]: Taking taylor expansion of -1 in x 1.009 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.009 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.009 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.009 * [taylor]: Taking taylor expansion of 1/3 in x 1.009 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.010 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.010 * [taylor]: Taking taylor expansion of -1 in x 1.010 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.010 * [taylor]: Taking taylor expansion of 1/3 in x 1.010 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.077 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.077 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 1.077 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.077 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.077 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.077 * [taylor]: Taking taylor expansion of 1/3 in x 1.077 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.078 * [taylor]: Taking taylor expansion of 1/3 in x 1.078 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.129 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.129 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.129 * [taylor]: Taking taylor expansion of 1/3 in x 1.129 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.130 * [taylor]: Taking taylor expansion of 1/3 in x 1.130 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.191 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.191 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.191 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.191 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.191 * [taylor]: Taking taylor expansion of -1 in x 1.192 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.192 * [taylor]: Taking taylor expansion of 1/3 in x 1.192 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.193 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.193 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.193 * [taylor]: Taking taylor expansion of -1 in x 1.194 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.194 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.194 * [taylor]: Taking taylor expansion of 1/3 in x 1.194 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.272 * * * [progress]: simplifying candidates 1.274 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.278 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.282 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.297 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.363 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.365 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.366 * * * [progress]: adding candidates to table 1.542 * [progress]: [Phase 3 of 3] Extracting. 1.543 * * [regime]: Finding splitpoints for: (# # # # # #) 1.543 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 1.543 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.560 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # #) 1.580 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # # # #) 1.597 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.618 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.635 * * * [regime]: Found split indices: #