10.090 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.017 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.019 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.030 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.030 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of x in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y 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 (* -1 (/ (pow y 2) x)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.043 * [taylor]: Taking taylor expansion of -1 in y 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 0.043 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.044 * [taylor]: Taking taylor expansion of -1 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 (* -1 (/ (pow y 2) x)) in x 0.044 * [taylor]: Taking taylor expansion of -1 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 (* -1 (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of -1 in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * * * [progress]: simplifying candidates 0.053 * [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)) 0.056 * * [simplify]: iteration 0 : 101 enodes (cost 92 ) 0.058 * * [simplify]: iteration 1 : 322 enodes (cost 77 ) 0.063 * * [simplify]: iteration 2 : 957 enodes (cost 77 ) 0.084 * * [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 0.198 * * [progress]: iteration 2 / 4 0.198 * * * [progress]: picking best candidate 0.205 * * * * [pick]: Picked # 0.205 * * * [progress]: localizing error 0.210 * * * [progress]: generating rewritten candidates 0.210 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.219 * * * [progress]: generating series expansions 0.219 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.219 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.219 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.236 * [taylor]: Taking taylor expansion of -1 in y 0.236 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.237 * [taylor]: Taking taylor expansion of -1 in x 0.237 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.237 * [taylor]: Taking taylor expansion of -1 in x 0.237 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.237 * [taylor]: Taking taylor expansion of -1 in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.246 * * * [progress]: simplifying candidates 0.247 * [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)) 0.253 * * [simplify]: iteration 0 : 313 enodes (cost 455 ) 0.259 * * [simplify]: iteration 1 : 1182 enodes (cost 421 ) 0.280 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.283 * [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) 0.283 * * * [progress]: adding candidates to table 0.417 * * [progress]: iteration 3 / 4 0.417 * * * [progress]: picking best candidate 0.423 * * * * [pick]: Picked # 0.423 * * * [progress]: localizing error 0.433 * * * [progress]: generating rewritten candidates 0.433 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.458 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.534 * * * [progress]: generating series expansions 0.534 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.534 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.534 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.535 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of x in y 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of x in y 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of 0 in x 0.538 * [taylor]: Taking taylor expansion of 0 in x 0.540 * [taylor]: Taking taylor expansion of 0 in x 0.540 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.540 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of 0 in x 0.543 * [taylor]: Taking taylor expansion of 0 in x 0.544 * [taylor]: Taking taylor expansion of 0 in x 0.546 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 0.546 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.546 * [taylor]: Taking taylor expansion of -1 in x 0.546 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.546 * [taylor]: Taking taylor expansion of -1 in y 0.546 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.547 * [taylor]: Taking taylor expansion of -1 in y 0.547 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.547 * [taylor]: Taking taylor expansion of -1 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of 0 in x 0.550 * [taylor]: Taking taylor expansion of 0 in x 0.552 * [taylor]: Taking taylor expansion of 0 in x 0.553 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.553 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.553 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.553 * [taylor]: Taking taylor expansion of y in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of x in y 0.553 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of 0 in x 0.556 * [taylor]: Taking taylor expansion of 0 in x 0.557 * [taylor]: Taking taylor expansion of 0 in x 0.558 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.558 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of 0 in x 0.562 * [taylor]: Taking taylor expansion of 0 in x 0.571 * [taylor]: Taking taylor expansion of 0 in x 0.571 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 0.571 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 0.571 * [taylor]: Taking taylor expansion of -1 in x 0.571 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.572 * [taylor]: Taking taylor expansion of -1 in y 0.572 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of x in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.572 * [taylor]: Taking taylor expansion of -1 in y 0.572 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of x in y 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.573 * [taylor]: Taking taylor expansion of -1 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of 0 in x 0.577 * [taylor]: Taking taylor expansion of 0 in x 0.580 * [taylor]: Taking taylor expansion of 0 in x 0.581 * * * [progress]: simplifying candidates 0.594 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 1) (/ y (/ x y)))) (log1p (/ (/ 1 1) (/ 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)))) (- (- 0 0) (- (log y) (- (log x) (log y)))) (- (- 0 0) (- (log y) (log (/ x y)))) (- (- 0 0) (log (/ y (/ x y)))) (- (- 0 (log 1)) (- (log y) (- (log x) (log y)))) (- (- 0 (log 1)) (- (log y) (log (/ x y)))) (- (- 0 (log 1)) (log (/ y (/ x y)))) (- (- (log 1) 0) (- (log y) (- (log x) (log y)))) (- (- (log 1) 0) (- (log y) (log (/ x y)))) (- (- (log 1) 0) (log (/ y (/ x y)))) (- (- (log 1) (log 1)) (- (log y) (- (log x) (log y)))) (- (- (log 1) (log 1)) (- (log y) (log (/ x y)))) (- (- (log 1) (log 1)) (log (/ y (/ x y)))) (- (log (/ 1 1)) (- (log y) (- (log x) (log y)))) (- (log (/ 1 1)) (- (log y) (log (/ x y)))) (- (log (/ 1 1)) (log (/ y (/ x y)))) (log (/ (/ 1 1) (/ y (/ x y)))) (exp (/ (/ 1 1) (/ y (/ x y)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (/ (* (* y y) y) (/ (* (* x x) x) (* (* y y) y)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (/ (* (* y y) y) (* (* (/ x y) (/ x y)) (/ x y)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (/ (* (* y y) y) (/ (* (* x x) x) (* (* y y) y)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (/ (* 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(/ 1 1)) (/ y (/ x y)) (/ 1 1) (/ y (/ x y)) (/ 1 x) (/ y (/ 1 y)) (/ 1 (/ x y)) (/ (/ 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)) 1)) (/ y (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) 1)) (/ y (/ 1 (* (cbrt y) (cbrt y)))) (/ y (/ 1 (sqrt y))) (/ y (/ 1 1)) (/ y 1) (/ y x) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ y x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 0.636 * * [simplify]: iteration 0 : 3460 enodes (cost 8177 ) 0.678 * * [simplify]: iteration 1 : 5001 enodes (cost 7384 ) 0.716 * [simplify]: Simplified to: (expm1 (/ 1 (/ y (/ x y)))) (log1p (/ 1 (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) 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2)) 1 (/ 1 (/ y (/ x y))) (/ 1 y) (/ x y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y (/ x y))) (/ y (/ x y)) (/ (/ 1 (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (* (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 (* (cbrt y) (cbrt y))) (sqrt (/ x y))) (* (/ 1 (* (cbrt y) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ 1 (* (cbrt y) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ 1 (* (cbrt y) (cbrt y))) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ 1 (* (cbrt y) (cbrt y))) (/ (sqrt x) (sqrt y))) (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (sqrt y)) (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y))) (* (/ 1 (* (cbrt y) (cbrt y))) x) (* (/ 1 (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ 1 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y) y) (/ (* (* x x) x) (* (* y y) y))) (/ (* (* y y) y) (* (* (/ x y) (/ x y)) (/ x y))) (* (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))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt 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))) (/ (cbrt y) (/ (sqrt x) 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) (/ 1 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))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (sqrt y) (/ (cbrt x) (sqrt y))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ (sqrt y) (/ (cbrt x) y)) (/ (sqrt y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (sqrt y) (/ (sqrt x) (cbrt y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (sqrt x)) (/ (sqrt y) (/ (sqrt x) y)) (* (* (cbrt y) (cbrt y)) (sqrt y)) (/ (sqrt y) (/ x (cbrt y))) y (/ (sqrt y) (/ x (sqrt y))) (sqrt y) (/ (sqrt y) (/ x y)) (sqrt y) (/ (sqrt y) (/ x y)) (/ (sqrt y) x) (* (sqrt y) y) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ y (sqrt (/ x y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ y (/ (cbrt x) (cbrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ 1 (* (cbrt x) (cbrt x))) (/ y (/ (cbrt x) y)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ y (/ (sqrt x) (cbrt y))) (/ 1 (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ 1 (sqrt x)) (/ y (/ (sqrt x) y)) (* (cbrt y) (cbrt y)) (/ y (/ x (cbrt y))) (sqrt y) (/ y (/ x (sqrt y))) 1 (/ y (/ x y)) 1 (/ y (/ x y)) (/ 1 x) (pow y 2) (/ 1 (/ x y)) (/ (/ 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) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 0.724 * * * [progress]: adding candidates to table 1.491 * * [progress]: iteration 4 / 4 1.491 * * * [progress]: picking best candidate 1.497 * * * * [pick]: Picked # 1.497 * * * [progress]: localizing error 1.511 * * * [progress]: generating rewritten candidates 1.511 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2) 1.512 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 1.513 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 1.513 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 1.514 * * * [progress]: generating series expansions 1.514 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2) 1.515 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.515 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.515 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.515 * [taylor]: Taking taylor expansion of 1/3 in y 1.515 * [taylor]: Taking taylor expansion of (log y) in y 1.515 * [taylor]: Taking taylor expansion of y in y 1.515 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.516 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.516 * [taylor]: Taking taylor expansion of 1/3 in y 1.516 * [taylor]: Taking taylor expansion of (log y) in y 1.516 * [taylor]: Taking taylor expansion of y in y 1.571 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.571 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.571 * [taylor]: Taking taylor expansion of 1/3 in y 1.571 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.571 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.571 * [taylor]: Taking taylor expansion of y in y 1.572 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.573 * [taylor]: Taking taylor expansion of 1/3 in y 1.573 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.573 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.573 * [taylor]: Taking taylor expansion of y in y 1.625 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.625 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.625 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.625 * [taylor]: Taking taylor expansion of -1 in y 1.626 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.626 * [taylor]: Taking taylor expansion of 1/3 in y 1.626 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.626 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.626 * [taylor]: Taking taylor expansion of y in y 1.627 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.627 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.627 * [taylor]: Taking taylor expansion of -1 in y 1.628 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.628 * [taylor]: Taking taylor expansion of 1/3 in y 1.628 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.628 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.628 * [taylor]: Taking taylor expansion of y in y 1.700 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 1.700 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.700 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.700 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.700 * [taylor]: Taking taylor expansion of 1/3 in y 1.700 * [taylor]: Taking taylor expansion of (log y) in y 1.700 * [taylor]: Taking taylor expansion of y in y 1.701 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.701 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.701 * [taylor]: Taking taylor expansion of 1/3 in y 1.701 * [taylor]: Taking taylor expansion of (log y) in y 1.701 * [taylor]: Taking taylor expansion of y in y 1.756 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.756 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.756 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.756 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.756 * [taylor]: Taking taylor expansion of 1/3 in y 1.756 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.756 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.756 * [taylor]: Taking taylor expansion of y in y 1.757 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.758 * [taylor]: Taking taylor expansion of 1/3 in y 1.758 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.758 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.758 * [taylor]: Taking taylor expansion of y in y 1.816 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.817 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.817 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.817 * [taylor]: Taking taylor expansion of -1 in y 1.817 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.818 * [taylor]: Taking taylor expansion of 1/3 in y 1.818 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.818 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.818 * [taylor]: Taking taylor expansion of y in y 1.818 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.819 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.819 * [taylor]: Taking taylor expansion of -1 in y 1.819 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.819 * [taylor]: Taking taylor expansion of 1/3 in y 1.819 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.819 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.819 * [taylor]: Taking taylor expansion of y in y 1.889 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 1.890 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.890 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.890 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.890 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.890 * [taylor]: Taking taylor expansion of 1/3 in y 1.890 * [taylor]: Taking taylor expansion of (log y) in y 1.890 * [taylor]: Taking taylor expansion of y in y 1.890 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.890 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.890 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.890 * [taylor]: Taking taylor expansion of 1/3 in y 1.890 * [taylor]: Taking taylor expansion of (log y) in y 1.890 * [taylor]: Taking taylor expansion of y in y 1.940 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.940 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.940 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.940 * [taylor]: Taking taylor expansion of 1/3 in y 1.940 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.940 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.940 * [taylor]: Taking taylor expansion of y in y 1.941 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.941 * [taylor]: Taking taylor expansion of 1/3 in y 1.941 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.941 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.941 * [taylor]: Taking taylor expansion of y in y 2.001 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 2.001 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 2.001 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.001 * [taylor]: Taking taylor expansion of -1 in y 2.001 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 2.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 2.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 2.002 * [taylor]: Taking taylor expansion of 1/3 in y 2.002 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.002 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.002 * [taylor]: Taking taylor expansion of y in y 2.002 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 2.002 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.003 * [taylor]: Taking taylor expansion of -1 in y 2.003 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 2.003 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 2.003 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 2.003 * [taylor]: Taking taylor expansion of 1/3 in y 2.003 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 2.003 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.003 * [taylor]: Taking taylor expansion of y in y 2.074 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 2.074 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.074 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.074 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.074 * [taylor]: Taking taylor expansion of 1/3 in x 2.074 * [taylor]: Taking taylor expansion of (log x) in x 2.074 * [taylor]: Taking taylor expansion of x in x 2.074 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.075 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.075 * [taylor]: Taking taylor expansion of 1/3 in x 2.075 * [taylor]: Taking taylor expansion of (log x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.131 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.131 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.131 * [taylor]: Taking taylor expansion of 1/3 in x 2.131 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.131 * [taylor]: Taking taylor expansion of x in x 2.132 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.132 * [taylor]: Taking taylor expansion of 1/3 in x 2.132 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.187 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.187 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.187 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.187 * [taylor]: Taking taylor expansion of -1 in x 2.188 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.188 * [taylor]: Taking taylor expansion of 1/3 in x 2.188 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.188 * [taylor]: Taking taylor expansion of x in x 2.189 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.189 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.189 * [taylor]: Taking taylor expansion of -1 in x 2.190 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.190 * [taylor]: Taking taylor expansion of 1/3 in x 2.190 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.190 * [taylor]: Taking taylor expansion of x in x 2.258 * * * [progress]: simplifying candidates 2.259 * [simplify]: Simplifying using # : (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (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)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.262 * * [simplify]: iteration 0 : 73 enodes (cost 172 ) 2.264 * * [simplify]: iteration 1 : 149 enodes (cost 160 ) 2.267 * * [simplify]: iteration 2 : 350 enodes (cost 152 ) 2.274 * * [simplify]: iteration 3 : 1283 enodes (cost 152 ) 2.309 * * [simplify]: iteration 4 : 5001 enodes (cost 152 ) 2.310 * [simplify]: Simplified to: (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (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) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.311 * * * [progress]: adding candidates to table 2.530 * [progress]: [Phase 3 of 3] Extracting. 2.530 * * [regime]: Finding splitpoints for: (# # # # #) 2.531 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.531 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.549 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.570 * * * [regime]: Found split indices: #