8.613 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [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 ) 0.019 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.020 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.032 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [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 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.046 * [taylor]: Taking taylor expansion of -1 in y 0.046 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.046 * [taylor]: Taking taylor expansion of -1 in x 0.046 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.046 * [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 (* -1 (/ (pow y 2) x)) in x 0.047 * [taylor]: Taking taylor expansion of -1 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 (* -1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of -1 in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * * * [progress]: simplifying candidates 0.055 * [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)) 0.059 * * [simplify]: iteration 0 : 101 enodes (cost 92 ) 0.062 * * [simplify]: iteration 1 : 322 enodes (cost 77 ) 0.067 * * [simplify]: iteration 2 : 957 enodes (cost 77 ) 0.088 * * [simplify]: iteration 3 : 4517 enodes (cost 77 ) 0.155 * * [simplify]: iteration 4 : 5002 enodes (cost 77 ) 0.155 * [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)) 0.156 * * * [progress]: adding candidates to table 0.199 * * [progress]: iteration 2 / 4 0.199 * * * [progress]: picking best candidate 0.206 * * * * [pick]: Picked # 0.206 * * * [progress]: localizing error 0.213 * * * [progress]: generating rewritten candidates 0.213 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.222 * * * [progress]: generating series expansions 0.222 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.223 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.223 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [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 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.231 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [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 0.245 * [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 ) 0.258 * * [simplify]: iteration 1 : 1182 enodes (cost 421 ) 0.279 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.282 * [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 0.420 * * [progress]: iteration 3 / 4 0.420 * * * [progress]: picking best candidate 0.426 * * * * [pick]: Picked # 0.426 * * * [progress]: localizing error 0.433 * * * [progress]: generating rewritten candidates 0.433 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.456 * * * * [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 0.535 * [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 0.536 * [taylor]: Taking taylor expansion of x in x 0.537 * [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 0.541 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.541 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [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 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [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 0.545 * [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 0.546 * [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 0.547 * [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 0.552 * * * * [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 0.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of 0 in x 0.555 * [taylor]: Taking taylor expansion of 0 in x 0.556 * [taylor]: Taking taylor expansion of 0 in x 0.557 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.557 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [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 0.558 * [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 0.558 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of 0 in x 0.561 * [taylor]: Taking taylor expansion of 0 in x 0.563 * [taylor]: Taking taylor expansion of 0 in x 0.563 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 0.563 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 0.563 * [taylor]: Taking taylor expansion of -1 in x 0.563 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.563 * [taylor]: Taking taylor expansion of -1 in y 0.563 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.563 * [taylor]: Taking taylor expansion of x in y 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.564 * [taylor]: Taking taylor expansion of -1 in y 0.564 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of 0 in x 0.568 * [taylor]: Taking taylor expansion of 0 in x 0.571 * [taylor]: Taking taylor expansion of 0 in x 0.571 * * * [progress]: simplifying candidates 0.584 * [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) 0.632 * * [simplify]: iteration 0 : 3460 enodes (cost 8177 ) 0.675 * * [simplify]: iteration 1 : 5001 enodes (cost 7384 ) 0.709 * [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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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) 0.716 * * * [progress]: adding candidates to table 1.466 * * [progress]: iteration 4 / 4 1.466 * * * [progress]: picking best candidate 1.472 * * * * [pick]: Picked # 1.472 * * * [progress]: localizing error 1.480 * * * [progress]: generating rewritten candidates 1.480 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.497 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 2) 1.503 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.530 * * * [progress]: generating series expansions 1.530 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.531 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 1.531 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.531 * [taylor]: Taking taylor expansion of y in x 1.531 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.531 * [taylor]: Taking taylor expansion of x in y 1.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.531 * [taylor]: Taking taylor expansion of y in y 1.532 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.532 * [taylor]: Taking taylor expansion of x in y 1.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.532 * [taylor]: Taking taylor expansion of y in y 1.532 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of 0 in x 1.534 * [taylor]: Taking taylor expansion of 0 in x 1.536 * [taylor]: Taking taylor expansion of 0 in x 1.537 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 1.537 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.537 * [taylor]: Taking taylor expansion of y in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.537 * [taylor]: Taking taylor expansion of y in y 1.537 * [taylor]: Taking taylor expansion of x in y 1.537 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.537 * [taylor]: Taking taylor expansion of y in y 1.537 * [taylor]: Taking taylor expansion of x in y 1.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of 0 in x 1.539 * [taylor]: Taking taylor expansion of 0 in x 1.541 * [taylor]: Taking taylor expansion of 0 in x 1.542 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 1.542 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 1.542 * [taylor]: Taking taylor expansion of -1 in x 1.542 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.542 * [taylor]: Taking taylor expansion of y in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 1.542 * [taylor]: Taking taylor expansion of -1 in y 1.542 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.542 * [taylor]: Taking taylor expansion of y in y 1.542 * [taylor]: Taking taylor expansion of x in y 1.543 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 1.543 * [taylor]: Taking taylor expansion of -1 in y 1.543 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.543 * [taylor]: Taking taylor expansion of y in y 1.543 * [taylor]: Taking taylor expansion of x in y 1.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.543 * [taylor]: Taking taylor expansion of -1 in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of 0 in x 1.546 * [taylor]: Taking taylor expansion of 0 in x 1.548 * [taylor]: Taking taylor expansion of 0 in x 1.549 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 2) 1.549 * [approximate]: Taking taylor expansion of (/ y x) in (x y) around 0 1.549 * [taylor]: Taking taylor expansion of (/ y x) in y 1.549 * [taylor]: Taking taylor expansion of y in y 1.549 * [taylor]: Taking taylor expansion of x in y 1.549 * [taylor]: Taking taylor expansion of (/ y x) in x 1.549 * [taylor]: Taking taylor expansion of y in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of (/ y x) in x 1.549 * [taylor]: Taking taylor expansion of y in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of y in y 1.550 * [taylor]: Taking taylor expansion of 0 in y 1.551 * [taylor]: Taking taylor expansion of 0 in y 1.552 * [taylor]: Taking taylor expansion of 0 in y 1.552 * [approximate]: Taking taylor expansion of (/ x y) in (x y) around 0 1.552 * [taylor]: Taking taylor expansion of (/ x y) in y 1.552 * [taylor]: Taking taylor expansion of x in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.552 * [taylor]: Taking taylor expansion of (/ x y) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of y in x 1.552 * [taylor]: Taking taylor expansion of (/ x y) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of y in x 1.552 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of 0 in y 1.553 * [taylor]: Taking taylor expansion of 0 in y 1.554 * [taylor]: Taking taylor expansion of 0 in y 1.555 * [approximate]: Taking taylor expansion of (/ x y) in (x y) around 0 1.555 * [taylor]: Taking taylor expansion of (/ x y) in y 1.555 * [taylor]: Taking taylor expansion of x in y 1.555 * [taylor]: Taking taylor expansion of y in y 1.555 * [taylor]: Taking taylor expansion of (/ x y) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of (/ x y) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.555 * [taylor]: Taking taylor expansion of y in y 1.555 * [taylor]: Taking taylor expansion of 0 in y 1.556 * [taylor]: Taking taylor expansion of 0 in y 1.557 * [taylor]: Taking taylor expansion of 0 in y 1.557 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 1.558 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 1.558 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.558 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.558 * [taylor]: Taking taylor expansion of x in y 1.558 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.558 * [taylor]: Taking taylor expansion of x in y 1.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of 0 in x 1.561 * [taylor]: Taking taylor expansion of 0 in x 1.562 * [taylor]: Taking taylor expansion of 0 in x 1.563 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 1.563 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.563 * [taylor]: Taking taylor expansion of y in x 1.563 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.563 * [taylor]: Taking taylor expansion of x in y 1.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.563 * [taylor]: Taking taylor expansion of y in y 1.563 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.563 * [taylor]: Taking taylor expansion of x in y 1.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.563 * [taylor]: Taking taylor expansion of y in y 1.564 * [taylor]: Taking taylor expansion of x in x 1.565 * [taylor]: Taking taylor expansion of 0 in x 1.566 * [taylor]: Taking taylor expansion of 0 in x 1.568 * [taylor]: Taking taylor expansion of 0 in x 1.568 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 1.568 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 1.568 * [taylor]: Taking taylor expansion of -1 in x 1.568 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.568 * [taylor]: Taking taylor expansion of y in x 1.568 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 1.568 * [taylor]: Taking taylor expansion of -1 in y 1.568 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.568 * [taylor]: Taking taylor expansion of x in y 1.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.569 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 1.569 * [taylor]: Taking taylor expansion of -1 in y 1.569 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.569 * [taylor]: Taking taylor expansion of x in y 1.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.569 * [taylor]: Taking taylor expansion of y in y 1.569 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.569 * [taylor]: Taking taylor expansion of -1 in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of 0 in x 1.578 * [taylor]: Taking taylor expansion of 0 in x 1.581 * [taylor]: Taking taylor expansion of 0 in x 1.582 * * * [progress]: simplifying candidates 1.585 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 1) (* y (/ 1 (/ x y))))) (log1p (/ (/ 1 1) (* y (/ 1 (/ x y))))) (- (- 0) (+ (log y) (- (- (log x) (log y))))) (- (- 0) (+ (log y) (- (log (/ x y))))) (- (- 0) (+ (log y) (- 0 (- (log x) (log y))))) (- (- 0) (+ (log y) (- 0 (log (/ x y))))) (- (- 0) (+ (log y) (- (log 1) (- (log x) (log y))))) (- (- 0) (+ (log y) (- (log 1) (log (/ x y))))) (- (- 0) (+ (log y) (log (/ 1 (/ x y))))) (- (- 0) (log (* y (/ 1 (/ x y))))) (- (- (log 1)) (+ (log y) (- (- (log x) (log y))))) (- (- (log 1)) (+ (log y) (- (log (/ x y))))) (- (- (log 1)) (+ (log y) (- 0 (- (log x) (log y))))) (- (- (log 1)) (+ (log y) (- 0 (log (/ x y))))) (- (- (log 1)) (+ (log y) (- (log 1) (- (log x) (log y))))) (- (- (log 1)) (+ (log y) (- (log 1) (log (/ x y))))) (- (- (log 1)) (+ (log y) (log (/ 1 (/ x y))))) (- (- (log 1)) (log (* y (/ 1 (/ x y))))) (- (- 0 0) (+ (log y) (- (- (log x) (log y))))) (- (- 0 0) (+ (log y) (- (log (/ x y))))) (- (- 0 0) (+ (log y) (- 0 (- (log x) (log y))))) (- (- 0 0) (+ (log y) (- 0 (log (/ x y))))) (- (- 0 0) (+ (log y) (- (log 1) (- (log x) (log y))))) (- (- 0 0) (+ (log y) (- (log 1) (log (/ x y))))) (- (- 0 0) (+ (log y) (log (/ 1 (/ x y))))) (- (- 0 0) (log (* y (/ 1 (/ x y))))) (- (- 0 (log 1)) (+ (log y) (- (- (log x) (log y))))) (- (- 0 (log 1)) (+ (log y) (- (log (/ x y))))) (- (- 0 (log 1)) (+ (log y) (- 0 (- (log x) (log y))))) (- (- 0 (log 1)) (+ (log y) (- 0 (log (/ x y))))) (- (- 0 (log 1)) (+ (log y) (- (log 1) (- (log x) (log y))))) (- (- 0 (log 1)) (+ (log y) (- (log 1) (log (/ x y))))) (- (- 0 (log 1)) (+ (log y) (log (/ 1 (/ x y))))) (- (- 0 (log 1)) (log (* y (/ 1 (/ x y))))) (- (- (log 1) 0) (+ (log y) (- (- (log x) (log y))))) (- (- (log 1) 0) (+ (log y) (- (log (/ x y))))) (- (- (log 1) 0) (+ (log y) (- 0 (- (log x) (log y))))) (- (- (log 1) 0) (+ (log y) (- 0 (log (/ x y))))) (- (- (log 1) 0) (+ (log y) (- (log 1) (- (log x) (log y))))) (- (- (log 1) 0) (+ (log y) (- (log 1) (log (/ x y))))) (- (- (log 1) 0) (+ (log y) (log (/ 1 (/ x y))))) (- (- (log 1) 0) (log (* y (/ 1 (/ 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) (- 0 (- (log x) (log y))))) (- (- (log 1) (log 1)) (+ (log y) (- 0 (log (/ x y))))) (- (- (log 1) (log 1)) (+ (log y) (- (log 1) (- (log x) (log y))))) (- (- (log 1) (log 1)) (+ (log y) (- (log 1) (log (/ x y))))) (- (- (log 1) (log 1)) (+ (log y) (log (/ 1 (/ x y))))) (- (- (log 1) (log 1)) (log (* y (/ 1 (/ x y))))) (- (log (/ 1 1)) (+ (log y) (- (- (log x) (log y))))) (- (log (/ 1 1)) (+ (log y) (- (log (/ x y))))) (- (log (/ 1 1)) (+ (log y) (- 0 (- (log x) (log y))))) (- (log (/ 1 1)) (+ (log y) (- 0 (log (/ x 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x)) (/ (sqrt y) (sqrt x)) (/ 1 (sqrt x)) (* (cbrt y) (cbrt y)) (sqrt y) 1 1 (/ 1 x) (/ (/ x y) (cbrt 1)) (/ x y) (/ x y) (/ 1 x) (expm1 (* y (/ 1 (/ x y)))) (log1p (* y (/ 1 (/ x y)))) (/ 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))) (log (/ y (/ x y))) (pow (exp y) (/ y x)) (pow (/ y (/ x y)) 3) (pow (/ y (/ x y)) 3) (pow (/ y (/ x y)) 3) (* (cbrt (* y (/ 1 (/ x y)))) (cbrt (* y (/ 1 (/ x y))))) (cbrt (* y (/ 1 (/ x y)))) (pow (/ y (/ x y)) 3) (sqrt (* y (/ 1 (/ x y)))) (sqrt (* y (/ 1 (/ x y)))) (* (sqrt y) (sqrt (/ 1 (/ x y)))) (* (sqrt y) (sqrt (/ 1 (/ x y)))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (* y (* (cbrt (/ 1 (/ x y))) (cbrt (/ 1 (/ x y))))) (* y (sqrt (/ 1 (/ x y)))) (* y (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (* y (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ x y)))) (* y (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (* y (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (* y (* (cbrt 1) (cbrt 1))) (* (cbrt x) (cbrt x))) (* y (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (* y (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) (sqrt y)))) (/ (* y (* (cbrt 1) (cbrt 1))) (sqrt x)) (* (* (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y))) y) (* (* (* (cbrt 1) (cbrt 1)) (sqrt y)) y) (* (* (cbrt 1) (cbrt 1)) y) (* (* (cbrt 1) (cbrt 1)) y) (* y (/ (* (cbrt 1) (cbrt 1)) x)) (/ 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)) (* (* (cbrt y) (cbrt y)) y) (* (sqrt y) y) y y (/ y x) (/ 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)) (* (* (cbrt y) (cbrt y)) y) (* (sqrt y) y) y y (/ y x) y y (/ y x) (* (/ y x) (cbrt y)) (* (/ y x) (sqrt y)) (/ y (/ x y)) y (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ y x) (/ y x) (/ y x) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) 1.624 * * * [progress]: adding candidates to table 1.990 * [progress]: [Phase 3 of 3] Extracting. 1.990 * * [regime]: Finding splitpoints for: (# # # #) 1.991 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 1.991 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 2.006 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # #) 2.021 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # #) 2.036 * * * * [regimes]: Trying to branch on y from (# # # #) 2.051 * * * * [regimes]: Trying to branch on x from (# # # #) 2.065 * * * [regime]: Found split indices: #