9.676 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.024 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.027 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.027 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.037 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.050 * [taylor]: Taking taylor expansion of -1 in y 0.050 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.050 * [taylor]: Taking taylor expansion of -1 in x 0.050 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.050 * [taylor]: Taking taylor expansion of -1 in x 0.050 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of -1 in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * * * [progress]: simplifying candidates 0.059 * [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)) 0.063 * * [simplify]: iteration 0 : 101 enodes (cost 92 ) 0.065 * * [simplify]: iteration 1 : 322 enodes (cost 77 ) 0.070 * * [simplify]: iteration 2 : 957 enodes (cost 77 ) 0.089 * * [simplify]: iteration 3 : 4517 enodes (cost 77 ) 0.153 * * [simplify]: iteration 4 : 5002 enodes (cost 77 ) 0.154 * [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)) 0.154 * * * [progress]: adding candidates to table 0.196 * * [progress]: iteration 2 / 4 0.196 * * * [progress]: picking best candidate 0.200 * * * * [pick]: Picked # 0.200 * * * [progress]: localizing error 0.205 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.216 * * * [progress]: generating series expansions 0.216 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.216 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.216 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.224 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of x in x 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 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.229 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.229 * [taylor]: Taking taylor expansion of -1 in y 0.229 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.230 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.230 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.230 * [taylor]: Taking taylor expansion of -1 in y 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.238 * * * [progress]: simplifying candidates 0.239 * [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)) 0.244 * * [simplify]: iteration 0 : 313 enodes (cost 455 ) 0.249 * * [simplify]: iteration 1 : 1182 enodes (cost 421 ) 0.270 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.272 * [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) 0.272 * * * [progress]: adding candidates to table 0.401 * * [progress]: iteration 3 / 4 0.401 * * * [progress]: picking best candidate 0.405 * * * * [pick]: Picked # 0.405 * * * [progress]: localizing error 0.412 * * * [progress]: generating rewritten candidates 0.412 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.436 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.508 * * * [progress]: generating series expansions 0.508 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.509 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.509 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.509 * [taylor]: Taking taylor expansion of x in y 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.509 * [taylor]: Taking taylor expansion of x in y 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of 0 in x 0.512 * [taylor]: Taking taylor expansion of 0 in x 0.524 * [taylor]: Taking taylor expansion of 0 in x 0.524 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.524 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of 0 in x 0.527 * [taylor]: Taking taylor expansion of 0 in x 0.528 * [taylor]: Taking taylor expansion of 0 in x 0.529 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 0.529 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.529 * [taylor]: Taking taylor expansion of -1 in x 0.529 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.529 * [taylor]: Taking taylor expansion of -1 in y 0.529 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.530 * [taylor]: Taking taylor expansion of -1 in y 0.530 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.530 * [taylor]: Taking taylor expansion of -1 in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of 0 in x 0.533 * [taylor]: Taking taylor expansion of 0 in x 0.535 * [taylor]: Taking taylor expansion of 0 in x 0.536 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.536 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.536 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.536 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.537 * [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 0.539 * [taylor]: Taking taylor expansion of 0 in x 0.540 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.540 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.540 * [taylor]: Taking taylor expansion of 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 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.541 * [taylor]: Taking taylor expansion of 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 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 0.545 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 0.545 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 0.545 * [taylor]: Taking taylor expansion of -1 in x 0.545 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.546 * [taylor]: Taking taylor expansion of -1 in y 0.546 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.546 * [taylor]: Taking taylor expansion of 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 (* -1 (/ x (pow y 2))) in y 0.546 * [taylor]: Taking taylor expansion of -1 in y 0.546 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.546 * [taylor]: Taking taylor expansion of 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 (* -1 x) in x 0.546 * [taylor]: Taking taylor expansion of -1 in x 0.546 * [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 0.554 * [taylor]: Taking taylor expansion of 0 in x 0.554 * * * [progress]: simplifying candidates 0.568 * [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) 0.608 * * [simplify]: iteration 0 : 3460 enodes (cost 8177 ) 0.649 * * [simplify]: iteration 1 : 5001 enodes (cost 7384 ) 0.685 * [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) 0.693 * * * [progress]: adding candidates to table 1.417 * * [progress]: iteration 4 / 4 1.417 * * * [progress]: picking best candidate 1.421 * * * * [pick]: Picked # 1.421 * * * [progress]: localizing error 1.426 * * * [progress]: generating rewritten candidates 1.426 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.443 * * * [progress]: generating series expansions 1.443 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.443 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 1.443 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.443 * [taylor]: Taking taylor expansion of x in y 1.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.443 * [taylor]: Taking taylor expansion of y in y 1.444 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.444 * [taylor]: Taking taylor expansion of y in x 1.444 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.444 * [taylor]: Taking taylor expansion of y in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.444 * [taylor]: Taking taylor expansion of y in y 1.445 * [taylor]: Taking taylor expansion of 0 in y 1.450 * [taylor]: Taking taylor expansion of 0 in y 1.451 * [taylor]: Taking taylor expansion of 0 in y 1.454 * [taylor]: Taking taylor expansion of 0 in y 1.454 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 1.454 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.454 * [taylor]: Taking taylor expansion of y in y 1.454 * [taylor]: Taking taylor expansion of x in y 1.454 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.454 * [taylor]: Taking taylor expansion of y in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.455 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.455 * [taylor]: Taking taylor expansion of y in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.455 * [taylor]: Taking taylor expansion of y in y 1.456 * [taylor]: Taking taylor expansion of 0 in y 1.457 * [taylor]: Taking taylor expansion of 0 in y 1.460 * [taylor]: Taking taylor expansion of 0 in y 1.460 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 1.460 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 1.460 * [taylor]: Taking taylor expansion of -1 in y 1.460 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.460 * [taylor]: Taking taylor expansion of y in y 1.460 * [taylor]: Taking taylor expansion of x in y 1.460 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 1.460 * [taylor]: Taking taylor expansion of -1 in x 1.460 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.460 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.460 * [taylor]: Taking taylor expansion of y in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 1.461 * [taylor]: Taking taylor expansion of -1 in x 1.461 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.461 * [taylor]: Taking taylor expansion of y in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 1.461 * [taylor]: Taking taylor expansion of -1 in y 1.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.461 * [taylor]: Taking taylor expansion of y in y 1.463 * [taylor]: Taking taylor expansion of 0 in y 1.465 * [taylor]: Taking taylor expansion of 0 in y 1.469 * [taylor]: Taking taylor expansion of 0 in y 1.469 * * * [progress]: simplifying candidates 1.470 * [simplify]: Simplifying using # : (expm1 (* (/ x y) (/ 1 y))) (log1p (* (/ x y) (/ 1 y))) (* (/ x y) (/ 1 y)) (+ (- (log x) (log y)) (- (log y))) (+ (- (log x) (log y)) (- 0 (log y))) (+ (- (log x) (log y)) (- (log 1) (log y))) (+ (- (log x) (log y)) (log (/ 1 y))) (+ (log (/ x y)) (- (log y))) (+ (log (/ x y)) (- 0 (log y))) (+ (log (/ x y)) (- (log 1) (log y))) (+ (log (/ x y)) (log (/ 1 y))) (log (* (/ x y) (/ 1 y))) (exp (* (/ x y) (/ 1 y))) (* (/ (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (/ (* (* x x) x) (* (* y y) y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (cbrt (* (/ x y) (/ 1 y))) (cbrt (* (/ x y) (/ 1 y)))) (cbrt (* (/ x y) (/ 1 y))) (* (* (* (/ x y) (/ 1 y)) (* (/ x y) (/ 1 y))) (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) (* x 1) (* y y) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (/ x y)) (/ 1 (sqrt y))) (* (sqrt (/ x y)) (/ 1 (sqrt y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt 1) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt 1) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ 1 (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ 1 (sqrt y))) (* (/ x y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (/ x y) (sqrt (/ 1 y))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ x y) (/ (sqrt 1) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (sqrt 1) (sqrt y))) (* (/ x y) (/ (sqrt 1) 1)) (* (/ x y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x y) (/ 1 (sqrt y))) (* (/ x y) (/ 1 1)) (* (/ x y) 1) (* (/ x y) 1) (* (cbrt (/ x y)) (/ 1 y)) (* (sqrt (/ x y)) (/ 1 y)) (* (/ (cbrt x) (cbrt y)) (/ 1 y)) (* (/ (cbrt x) (sqrt y)) (/ 1 y)) (* (/ (cbrt x) y) (/ 1 y)) (* (/ (sqrt x) (cbrt y)) (/ 1 y)) (* (/ (sqrt x) (sqrt y)) (/ 1 y)) (* (/ (sqrt x) y) (/ 1 y)) (* (/ x (cbrt y)) (/ 1 y)) (* (/ x (sqrt y)) (/ 1 y)) (* (/ x y) (/ 1 y)) (* (/ x y) (/ 1 y)) (* (/ 1 y) (/ 1 y)) (* (/ x y) 1) (* x (/ 1 y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 1.474 * * [simplify]: iteration 0 : 329 enodes (cost 308 ) 1.481 * * [simplify]: iteration 1 : 1580 enodes (cost 261 ) 1.511 * * [simplify]: iteration 2 : 5002 enodes (cost 227 ) 1.512 * [simplify]: Simplified to: (expm1 (* (/ x y) (/ 1 y))) (log1p (* (/ x y) (/ 1 y))) (/ (/ x y) y) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (exp (* (/ x y) (/ 1 y))) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (* (/ x y) (/ 1 y))) (cbrt (* (/ x y) (/ 1 y)))) (cbrt (* (/ x y) (/ 1 y))) (pow (/ (/ x y) y) 3) (sqrt (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) x (pow y 2) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (* (/ x y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (/ x y) (sqrt (/ 1 y))) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ x y) (/ x y) (* (cbrt (/ x y)) (/ 1 y)) (* (sqrt (/ x y)) (/ 1 y)) (* (/ (cbrt x) (cbrt y)) (/ 1 y)) (/ (/ (cbrt x) y) (pow y 1/2)) (* (/ (cbrt x) y) (/ 1 y)) (* (/ (sqrt x) (cbrt y)) (/ 1 y)) (/ (/ (sqrt x) y) (pow y 1/2)) (* (/ (sqrt x) y) (/ 1 y)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x y) y) (/ 1 (pow y 2)) (/ x y) (/ x y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 1.513 * * * [progress]: adding candidates to table 1.612 * [progress]: [Phase 3 of 3] Extracting. 1.612 * * [regime]: Finding splitpoints for: (# # # # #) 1.613 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 1.613 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.629 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # #) 1.647 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # # #) 1.661 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.680 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.697 * * * [regime]: Found split indices: #