21.065 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.021 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.024 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.039 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.053 * [taylor]: Taking taylor expansion of -1 in y 0.053 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of -1 in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * * * [progress]: simplifying candidates 0.062 * [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)) 0.066 * * [simplify]: iteration 0 : 101 enodes (cost 92 ) 0.069 * * [simplify]: iteration 1 : 322 enodes (cost 77 ) 0.074 * * [simplify]: iteration 2 : 957 enodes (cost 77 ) 0.096 * * [simplify]: iteration 3 : 4517 enodes (cost 77 ) 0.163 * * [simplify]: iteration 4 : 5002 enodes (cost 77 ) 0.164 * [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)) 0.164 * * * [progress]: adding candidates to table 0.203 * * [progress]: iteration 2 / 4 0.203 * * * [progress]: picking best candidate 0.208 * * * * [pick]: Picked # 0.208 * * * [progress]: localizing error 0.212 * * * [progress]: generating rewritten candidates 0.212 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.222 * * * [progress]: generating series expansions 0.222 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.222 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.222 * [taylor]: Taking taylor expansion of 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 0.223 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.223 * [taylor]: Taking taylor expansion of 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 (pow y 2)) in x 0.223 * [taylor]: Taking taylor expansion of 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 (/ 1 (pow y 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.235 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.235 * [taylor]: Taking taylor expansion of -1 in y 0.235 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.236 * [taylor]: Taking taylor expansion of -1 in x 0.236 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.236 * [taylor]: Taking taylor expansion of -1 in x 0.236 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.236 * [taylor]: Taking taylor expansion of -1 in y 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.245 * * * [progress]: simplifying candidates 0.246 * [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)) 0.251 * * [simplify]: iteration 0 : 313 enodes (cost 455 ) 0.257 * * [simplify]: iteration 1 : 1182 enodes (cost 421 ) 0.278 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.280 * [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) 0.281 * * * [progress]: adding candidates to table 0.389 * * [progress]: iteration 3 / 4 0.389 * * * [progress]: picking best candidate 0.395 * * * * [pick]: Picked # 0.395 * * * [progress]: localizing error 0.401 * * * [progress]: generating rewritten candidates 0.401 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.414 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.440 * * * [progress]: generating series expansions 0.440 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.440 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.440 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of 0 in x 0.444 * [taylor]: Taking taylor expansion of 0 in x 0.445 * [taylor]: Taking taylor expansion of 0 in x 0.446 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.446 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of 0 in x 0.449 * [taylor]: Taking taylor expansion of 0 in x 0.450 * [taylor]: Taking taylor expansion of 0 in x 0.451 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 0.451 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.451 * [taylor]: Taking taylor expansion of -1 in x 0.451 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.451 * [taylor]: Taking taylor expansion of -1 in y 0.451 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.451 * [taylor]: Taking taylor expansion of -1 in y 0.451 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.452 * [taylor]: Taking taylor expansion of -1 in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of 0 in x 0.455 * [taylor]: Taking taylor expansion of 0 in x 0.457 * [taylor]: Taking taylor expansion of 0 in x 0.458 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.458 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.458 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of 0 in x 0.460 * [taylor]: Taking taylor expansion of 0 in x 0.462 * [taylor]: Taking taylor expansion of 0 in x 0.462 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.462 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of 0 in x 0.465 * [taylor]: Taking taylor expansion of 0 in x 0.467 * [taylor]: Taking taylor expansion of 0 in x 0.467 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 0.467 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 0.467 * [taylor]: Taking taylor expansion of -1 in x 0.468 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.468 * [taylor]: Taking taylor expansion of -1 in y 0.468 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.468 * [taylor]: Taking taylor expansion of -1 in y 0.468 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.469 * [taylor]: Taking taylor expansion of -1 in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of 0 in x 0.473 * [taylor]: Taking taylor expansion of 0 in x 0.476 * [taylor]: Taking taylor expansion of 0 in x 0.476 * * * [progress]: simplifying candidates 0.480 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ y (/ x y)))) (log1p (/ 1 (/ y (/ x y)))) (- 1) (- (- (log y) (- (log x) (log y)))) (- (- (log y) (log (/ x y)))) (- (log (/ y (/ x y)))) (- 0 (- (log y) (- (log x) (log y)))) (- 0 (- (log y) (log (/ x y)))) (- 0 (log (/ y (/ x y)))) (- (log 1) (- (log y) (- (log x) (log y)))) (- (log 1) (- (log y) (log (/ x y)))) (- (log 1) (log (/ y (/ 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 1) 1) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ 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) (- (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (cbrt 1) (cbrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (/ x y)))) (/ (cbrt 1) (sqrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ (cbrt y) (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (cbrt 1) (/ (cbrt y) (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) 1))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (cbrt 1) (/ (cbrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt 1) (/ (cbrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) x)) (/ (cbrt 1) (/ (cbrt y) (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ (sqrt y) (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (sqrt (/ x y)))) (/ (cbrt 1) (/ (sqrt y) (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) 1))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 1))) (/ (cbrt 1) (/ (sqrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) 1)) (/ (cbrt 1) (/ (sqrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) x)) (/ (cbrt 1) (/ (sqrt y) (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ y (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (/ x y)))) (/ (cbrt 1) (/ y (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ y (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ y (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ y (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) 1))) (/ (cbrt 1) (/ y (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 (sqrt y)))) (/ (cbrt 1) (/ y (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 1))) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ y (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) y) (/ (cbrt 1) (/ 1 (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y) (/ (sqrt 1) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (sqrt 1) (cbrt (/ y (/ x y)))) (/ (sqrt 1) (sqrt (/ y (/ x y)))) (/ (sqrt 1) (sqrt (/ y (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (sqrt 1) (/ (cbrt y) (cbrt (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (sqrt 1) (/ (cbrt y) (sqrt (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) 1))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (cbrt y) (/ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) 1))) (/ (sqrt 1) (/ (cbrt y) (/ (sqrt x) y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ x (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y)))) (/ (sqrt 1) (/ (cbrt y) (/ x (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (sqrt 1) (/ (cbrt y) (/ x y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) 1)) (/ (sqrt 1) (/ (cbrt y) (/ x y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) x)) (/ (sqrt 1) (/ (cbrt y) (/ 1 y))) (/ (sqrt 1) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (sqrt 1) (/ (sqrt y) (cbrt (/ x y)))) (/ (sqrt 1) (/ (sqrt y) (sqrt (/ x y)))) (/ (sqrt 1) (/ (sqrt y) (sqrt (/ x y)))) (/ (sqrt 1) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (sqrt 1) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (sqrt 1) (/ (sqrt y) (/ (cbrt x) (sqrt y)))) (/ (sqrt 1) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) 1))) (/ (sqrt 1) (/ (sqrt y) (/ (cbrt x) y))) (/ (sqrt 1) (/ (sqrt y) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (sqrt y) (/ (sqrt x) (cbrt y)))) (/ (sqrt 1) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (sqrt y) (/ (sqrt x) 1))) (/ (sqrt 1) (/ (sqrt y) (/ (sqrt x) y))) (/ (sqrt 1) (/ (sqrt y) (/ 1 (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (sqrt y) (/ x (cbrt y)))) (/ (sqrt 1) (/ (sqrt y) (/ 1 (sqrt y)))) (/ (sqrt 1) (/ (sqrt y) (/ x (sqrt y)))) (/ (sqrt 1) (/ (sqrt y) (/ 1 1))) (/ (sqrt 1) (/ (sqrt y) (/ x y))) (/ (sqrt 1) (/ (sqrt y) 1)) (/ (sqrt 1) (/ (sqrt y) (/ x y))) (/ (sqrt 1) (/ (sqrt y) x)) (/ (sqrt 1) (/ (sqrt y) (/ 1 y))) (/ (sqrt 1) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (sqrt 1) (/ y (cbrt (/ x y)))) (/ (sqrt 1) (/ 1 (sqrt (/ x y)))) (/ (sqrt 1) (/ y (sqrt (/ x y)))) (/ (sqrt 1) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ y (/ (cbrt x) (cbrt y)))) (/ (sqrt 1) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (sqrt 1) (/ y (/ (cbrt x) (sqrt y)))) (/ (sqrt 1) (/ 1 (/ (* (cbrt x) (cbrt x)) 1))) (/ (sqrt 1) (/ y (/ (cbrt x) y))) (/ (sqrt 1) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ y (/ (sqrt x) (cbrt y)))) (/ (sqrt 1) (/ 1 (/ 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y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ 1 (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) 1))) (/ 1 (/ (cbrt y) (/ (cbrt x) y))) (/ 1 (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ 1 (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y)))) (/ 1 (/ (cbrt y) (/ (sqrt x) (sqrt y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) 1))) (/ 1 (/ (cbrt y) (/ (sqrt x) y))) (/ 1 (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))) (/ 1 (/ (cbrt y) (/ x (cbrt y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y)))) (/ 1 (/ (cbrt y) (/ x (sqrt y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ 1 (/ (cbrt y) (/ x y))) (/ 1 (/ (* (cbrt y) (cbrt y)) 1)) (/ 1 (/ (cbrt y) (/ x y))) (/ 1 (/ (* (cbrt y) (cbrt y)) x)) (/ 1 (/ (cbrt y) (/ 1 y))) (/ 1 (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ 1 (/ (sqrt y) (cbrt (/ x y)))) (/ 1 (/ (sqrt y) (sqrt (/ x y)))) (/ 1 (/ (sqrt y) (sqrt (/ x y)))) (/ 1 (/ 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x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 0.494 * * [simplify]: iteration 0 : 957 enodes (cost 2379 ) 0.516 * * [simplify]: iteration 1 : 5001 enodes (cost 2032 ) 0.533 * [simplify]: Simplified to: (expm1 (/ 1 (/ y (/ x y)))) (log1p (/ 1 (/ y (/ x y)))) (- 1) (log (/ 1 (/ y (/ x y)))) (log (/ 1 (/ y (/ x y)))) (log (/ 1 (/ y (/ x y)))) (log (/ 1 (/ y (/ x y)))) (log (/ 1 (/ y (/ x y)))) (log (/ 1 (/ y (/ x y)))) (log (/ 1 (/ y (/ x y)))) (log (/ 1 (/ y (/ x y)))) (log (/ 1 (/ y (/ x y)))) (log (/ 1 (/ y (/ x y)))) (exp (/ 1 (/ y (/ x y)))) (/ 1 (pow (/ y (/ x y)) 3)) (/ 1 (pow (/ y (/ x y)) 3)) (/ 1 (pow (/ y (/ x y)) 3)) (* (cbrt (/ 1 (/ y (/ x y)))) (cbrt (/ 1 (/ y (/ x y))))) (cbrt (/ 1 (/ y (/ x y)))) (/ 1 (pow (/ y (/ x y)) 3)) (sqrt (/ 1 (/ y (/ x y)))) (sqrt (/ 1 (/ y (/ x y)))) (- 1) (- (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (cbrt 1) (cbrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (/ x y)))) (/ 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(* (cbrt y) (cbrt y))) (/ (* 1 (/ (sqrt x) (cbrt y))) y) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (sqrt x) (/ 1 (/ y (/ (sqrt x) y))) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) 1 (/ (/ x y) y) 1 (/ (/ x y) y) x (/ (/ 1 y) y) 1 (/ (/ x y) y) (/ 1 y) (/ x y) (/ x y) (/ 1 y) (/ (/ 1 (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y)))) (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ 1 (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (/ (cbrt x) y))) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (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))) (/ (* 1 (/ (sqrt x) (cbrt 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))) (/ (/ x y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ x (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (/ 1 y))) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ 1 (/ (sqrt y) (cbrt (/ x y)))) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ 1 (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ 1 (/ y (* (cbrt x) (cbrt x)))) (/ 1 (/ y (cbrt x))) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (* 1 (/ (cbrt x) y)) (sqrt 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) (/ 1 (* (* (cbrt y) (cbrt y)) (sqrt y))) (/ (/ x (cbrt y)) (sqrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ x (sqrt y)) (/ (/ 1 (sqrt y)) y) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ 1 (/ y (cbrt (/ x y)))) (sqrt (/ x y)) (/ (sqrt (/ x y)) y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (/ (cbrt x) y))) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (* 1 (/ (cbrt x) y)) (sqrt y)) (* (cbrt x) (cbrt x)) (/ 1 (/ y (/ (cbrt x) y))) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (* 1 (/ (sqrt x) (cbrt y))) y) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (sqrt x) (/ 1 (/ y (/ (sqrt x) y))) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) 1 (/ (/ x y) y) 1 (/ (/ x y) y) x (/ (/ 1 y) y) 1 (/ (/ x y) y) (/ 1 y) (/ x y) (/ x y) (/ 1 y) (/ (/ x y) y) (/ y (/ x y)) (/ (/ 1 (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ 1 (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (* (* (cbrt y) (cbrt y)) (sqrt y))) (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y))) (/ x (* (cbrt y) (cbrt y))) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ 1 (/ y (* (cbrt x) (cbrt x)))) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ 1 (* (* (cbrt y) (cbrt y)) (sqrt y))) (/ 1 y) (/ 1 (sqrt y)) (/ 1 (sqrt y)) (/ x (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt (/ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt x) (cbrt x)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (sqrt y)) (sqrt x) (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (sqrt y)) 1 1 x 1 (/ 1 y) (/ x y) (/ (/ y (/ x y)) (cbrt 1)) (/ y (/ x y)) (/ y (/ x y)) (/ 1 y) (expm1 (/ y (/ x y))) (log1p (/ y (/ x y))) (log (/ y (/ x y))) (log (/ y (/ x y))) (log (/ y (/ x y))) (exp (/ y (/ x y))) (pow (/ y (/ x y)) 3) (pow (/ y (/ x y)) 3) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y))) (pow (/ y (/ x y)) 3) (sqrt (/ y (/ x y))) (sqrt (/ y (/ x y))) (- y) (- (/ x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (cbrt y) (cbrt (/ x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y))) (/ (cbrt y) (sqrt (/ x y))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (cbrt y) (/ (cbrt x) (cbrt y))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (cbrt y) (/ (cbrt x) (sqrt y))) (/ (cbrt y) (/ (* (cbrt x) (cbrt x)) (cbrt y))) (/ (cbrt y) (/ (cbrt x) y)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y))) (/ (cbrt y) (/ (sqrt x) (sqrt y))) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (cbrt y))) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (/ (* (cbrt y) (cbrt y)) x) (* (* (cbrt y) (cbrt y)) (sqrt y)) (/ (cbrt y) (/ x (sqrt y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ x y)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ x y)) (/ (* (cbrt y) (cbrt y)) x) (* (cbrt y) y) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt y) (cbrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (sqrt y) (/ (cbrt x) (cbrt y))) (/ y (* (cbrt x) (cbrt x))) (/ y (cbrt x)) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ y (/ (cbrt x) (sqrt y))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (/ (sqrt x) (cbrt y))) (/ y (sqrt x)) (/ y (sqrt x)) (/ (sqrt y) (sqrt x)) (/ y (/ (sqrt x) (sqrt y))) (* (* (cbrt y) (cbrt y)) (sqrt y)) (/ (sqrt y) (/ x (cbrt y))) y (/ y x) (sqrt y) (/ (sqrt y) (/ x y)) (sqrt y) (/ (sqrt y) (/ x y)) (/ (sqrt y) x) (* y (sqrt y)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ y (sqrt (/ x y))) (/ (cbrt y) (/ (* (cbrt x) (cbrt x)) (cbrt y))) (/ (cbrt y) (/ (cbrt x) y)) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ y (/ (cbrt x) (sqrt y))) (/ 1 (* (cbrt x) (cbrt x))) (/ y (/ (cbrt x) y)) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (cbrt y))) (/ (sqrt y) (sqrt x)) (/ y (/ (sqrt x) (sqrt y))) (/ 1 (sqrt x)) (/ y (/ (sqrt x) y)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ x y)) (sqrt y) (/ (sqrt y) (/ x y)) 1 (/ y (/ x y)) 1 (/ y (/ x y)) (/ 1 x) (pow y 2) (/ y x) (/ (/ x y) y) (/ y (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (sqrt (/ x y))) (/ 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 (* (cbrt y) (cbrt y))) (* y (sqrt y)) y y (/ y x) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ y x) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) 0.535 * * * [progress]: adding candidates to table 0.896 * * [progress]: iteration 4 / 4 0.896 * * * [progress]: picking best candidate 0.901 * * * * [pick]: Picked # 0.901 * * * [progress]: localizing error 0.914 * * * [progress]: generating rewritten candidates 0.914 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.917 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.918 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.919 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 0.922 * * * [progress]: generating series expansions 0.922 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.922 * [approximate]: Taking taylor expansion of (pow (pow y 1/3) 3) in (y) around 0 0.922 * [taylor]: Taking taylor expansion of (pow (pow y 1/3) 3) in y 0.922 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.922 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.922 * [taylor]: Taking taylor expansion of 1/3 in y 0.922 * [taylor]: Taking taylor expansion of (log y) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of (pow (pow y 1/3) 3) in y 0.923 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.923 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.923 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.923 * [taylor]: Taking taylor expansion of 1/3 in y 0.923 * [taylor]: Taking taylor expansion of (log y) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.984 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 y) 1/3) 3) in (y) around 0 0.984 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 y) 1/3) 3) in y 0.984 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.984 * [taylor]: Taking taylor expansion of 1/3 in y 0.984 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 y) 1/3) 3) in y 0.985 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.985 * [taylor]: Taking taylor expansion of 1/3 in y 0.985 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.985 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.985 * [taylor]: Taking taylor expansion of y in y 1.049 * [approximate]: Taking taylor expansion of (pow (* (cbrt -1) (pow (/ 1 y) 1/3)) 3) in (y) around 0 1.049 * [taylor]: Taking taylor expansion of (pow (* (cbrt -1) (pow (/ 1 y) 1/3)) 3) in y 1.049 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.049 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.049 * [taylor]: Taking taylor expansion of -1 in y 1.049 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.049 * [taylor]: Taking taylor expansion of 1/3 in y 1.049 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of (pow (* (cbrt -1) (pow (/ 1 y) 1/3)) 3) in y 1.051 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.051 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.051 * [taylor]: Taking taylor expansion of -1 in y 1.051 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.051 * [taylor]: Taking taylor expansion of 1/3 in y 1.051 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.137 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 1.137 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.137 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.137 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.137 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.137 * [taylor]: Taking taylor expansion of 1/3 in x 1.137 * [taylor]: Taking taylor expansion of (log x) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.138 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.138 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.138 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.138 * [taylor]: Taking taylor expansion of 1/3 in x 1.138 * [taylor]: Taking taylor expansion of (log x) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.189 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.189 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.189 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.189 * [taylor]: Taking taylor expansion of 1/3 in x 1.189 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.190 * [taylor]: Taking taylor expansion of 1/3 in x 1.190 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.244 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.244 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.244 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.244 * [taylor]: Taking taylor expansion of -1 in x 1.245 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.245 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.245 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.245 * [taylor]: Taking taylor expansion of 1/3 in x 1.245 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.246 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.246 * [taylor]: Taking taylor expansion of -1 in x 1.247 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.247 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.247 * [taylor]: Taking taylor expansion of 1/3 in x 1.247 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.308 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 1.308 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.308 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.308 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.308 * [taylor]: Taking taylor expansion of 1/3 in x 1.308 * [taylor]: Taking taylor expansion of (log x) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.315 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.315 * [taylor]: Taking taylor expansion of 1/3 in x 1.315 * [taylor]: Taking taylor expansion of (log x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.362 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.362 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.362 * [taylor]: Taking taylor expansion of 1/3 in x 1.362 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.363 * [taylor]: Taking taylor expansion of 1/3 in x 1.363 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.420 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.420 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.420 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.420 * [taylor]: Taking taylor expansion of -1 in x 1.421 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.421 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.421 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.421 * [taylor]: Taking taylor expansion of 1/3 in x 1.421 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.422 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.422 * [taylor]: Taking taylor expansion of -1 in x 1.423 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.423 * [taylor]: Taking taylor expansion of 1/3 in x 1.423 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.491 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.491 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.491 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.491 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.491 * [taylor]: Taking taylor expansion of 1/3 in x 1.491 * [taylor]: Taking taylor expansion of (log x) in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.492 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.492 * [taylor]: Taking taylor expansion of 1/3 in x 1.492 * [taylor]: Taking taylor expansion of (log x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.546 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.546 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.546 * [taylor]: Taking taylor expansion of 1/3 in x 1.546 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.547 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.547 * [taylor]: Taking taylor expansion of 1/3 in x 1.547 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.598 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.598 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.598 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.598 * [taylor]: Taking taylor expansion of -1 in x 1.599 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.599 * [taylor]: Taking taylor expansion of 1/3 in x 1.599 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.600 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.600 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.600 * [taylor]: Taking taylor expansion of -1 in x 1.600 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.601 * [taylor]: Taking taylor expansion of 1/3 in x 1.601 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.669 * * * [progress]: simplifying candidates 1.670 * [simplify]: Simplifying using # : (expm1 (pow (cbrt y) 3)) (log1p (pow (cbrt y) 3)) (* (log (cbrt y)) 3) (* (log (cbrt y)) 3) (* 1/3 3) (* 1 3) (pow (cbrt y) (* (cbrt 3) (cbrt 3))) (pow (cbrt y) (sqrt 3)) (pow (cbrt y) 1) (pow (cbrt (* (cbrt y) (cbrt y))) 3) (pow (cbrt (cbrt y)) 3) (pow (cbrt (sqrt y)) 3) (pow (cbrt (sqrt y)) 3) (pow (cbrt 1) 3) (pow (cbrt y) 3) (pow (* (cbrt (cbrt y)) (cbrt (cbrt y))) 3) (pow (cbrt (cbrt y)) 3) (pow (sqrt (cbrt y)) 3) (pow (sqrt (cbrt y)) 3) (pow 1 3) (pow (cbrt y) 3) (* (cbrt y) (cbrt y)) (log (pow (cbrt y) 3)) (exp (pow (cbrt y) 3)) (* (cbrt (pow (cbrt y) 3)) (cbrt (pow (cbrt y) 3))) (cbrt (pow (cbrt y) 3)) (* (* (pow (cbrt y) 3) (pow (cbrt y) 3)) (pow (cbrt y) 3)) (pow (cbrt (* (cbrt y) (cbrt y))) 3) (pow (cbrt (cbrt y)) 3) (pow (cbrt (sqrt y)) 3) (pow (cbrt (sqrt y)) 3) (pow (cbrt 1) 3) (pow (cbrt y) 3) (pow (* (cbrt (cbrt y)) (cbrt (cbrt y))) 3) (pow (cbrt (cbrt y)) 3) (pow (sqrt (cbrt y)) 3) (pow (sqrt (cbrt y)) 3) (pow 1 3) (pow (cbrt y) 3) (* (cbrt y) (cbrt y)) (sqrt (pow (cbrt y) 3)) (sqrt (pow (cbrt y) 3)) (pow (cbrt y) (/ 3 2)) (pow (cbrt y) (/ 3 2)) (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)) y y y (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)) 1.674 * * [simplify]: iteration 0 : 137 enodes (cost 207 ) 1.678 * * [simplify]: iteration 1 : 545 enodes (cost 193 ) 1.694 * * [simplify]: iteration 2 : 3503 enodes (cost 176 ) 1.814 * * [simplify]: iteration 3 : 5001 enodes (cost 176 ) 1.816 * [simplify]: Simplified to: (expm1 (pow (cbrt y) 3)) (log1p (pow (cbrt y) 3)) (log (pow (cbrt y) 3)) (log (pow (cbrt y) 3)) 1 3 (pow (cbrt y) (* (cbrt 3) (cbrt 3))) (pow (cbrt y) (sqrt 3)) (cbrt y) (pow (cbrt y) 2) (cbrt y) (sqrt y) (sqrt y) 1 y (pow (cbrt y) 2) (cbrt y) (pow (cbrt y) 3/2) (pow (cbrt y) 3/2) 1 y (pow (cbrt y) 2) (log (pow (cbrt y) 3)) (exp (pow (cbrt y) 3)) (pow (cbrt y) 2) (cbrt y) (pow y 3) (pow (cbrt y) 2) (cbrt y) (sqrt y) (sqrt y) 1 y (pow (cbrt y) 2) (cbrt y) (pow (cbrt y) 3/2) (pow (cbrt y) 3/2) 1 y (pow (cbrt y) 2) (sqrt y) (sqrt y) (pow (cbrt y) 3/2) (pow (cbrt y) 3/2) (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)) y y y (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)) 1.817 * * * [progress]: adding candidates to table 1.992 * [progress]: [Phase 3 of 3] Extracting. 1.993 * * [regime]: Finding splitpoints for: (# # # # # #) 1.993 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 1.993 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.010 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # #) 2.030 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # # # #) 2.046 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.067 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.085 * * * [regime]: Found split indices: #