4.861 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.105 * * * [progress]: [2/2] Setting up program. 0.108 * [progress]: [Phase 2 of 3] Improving. 0.109 * [simplify]: Simplifying using # : (+ (- 1.0 x) (* y (sqrt x))) 0.111 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.112 * * [simplify]: iteration 1 : 23 enodes (cost 4 ) 0.113 * * [simplify]: iteration 2 : 40 enodes (cost 4 ) 0.114 * * [simplify]: iteration 3 : 59 enodes (cost 4 ) 0.116 * * [simplify]: iteration 4 : 74 enodes (cost 4 ) 0.117 * * [simplify]: iteration 5 : 103 enodes (cost 4 ) 0.119 * * [simplify]: iteration 6 : 120 enodes (cost 4 ) 0.121 * * [simplify]: iteration 7 : 145 enodes (cost 4 ) 0.122 * * [simplify]: iteration 8 : 226 enodes (cost 4 ) 0.124 * * [simplify]: iteration 9 : 257 enodes (cost 4 ) 0.126 * * [simplify]: iteration 10 : 257 enodes (cost 4 ) 0.126 * [simplify]: Simplified to: (+ (- 1.0 x) (* y (sqrt x))) 0.126 * * [progress]: iteration 1 / 4 0.126 * * * [progress]: picking best candidate 0.129 * * * * [pick]: Picked # 0.129 * * * [progress]: localizing error 0.135 * * * [progress]: generating rewritten candidates 0.135 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.140 * * * [progress]: generating series expansions 0.141 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.141 * [approximate]: Taking taylor expansion of (* (sqrt x) y) in (y x) around 0 0.141 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.141 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.141 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.141 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of 0 in x 0.141 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of 0 in x 0.141 * [taylor]: Taking taylor expansion of 0 in x 0.142 * [taylor]: Taking taylor expansion of 0 in x 0.142 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 0.142 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.143 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.143 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of 0 in x 0.144 * [taylor]: Taking taylor expansion of 0 in x 0.144 * [taylor]: Taking taylor expansion of 0 in x 0.145 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in (y x) around 0 0.145 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 0.145 * [taylor]: Taking taylor expansion of -1 in x 0.145 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.145 * [taylor]: Taking taylor expansion of -1 in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in y 0.145 * [taylor]: Taking taylor expansion of -1 in y 0.145 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in y 0.145 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.145 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.145 * [taylor]: Taking taylor expansion of -1 in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in y 0.145 * [taylor]: Taking taylor expansion of -1 in y 0.145 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in y 0.145 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.145 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.145 * [taylor]: Taking taylor expansion of -1 in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ -1 x))) in x 0.145 * [taylor]: Taking taylor expansion of -1 in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.145 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of 0 in x 0.146 * [taylor]: Taking taylor expansion of 0 in x 0.147 * * * [progress]: simplifying candidates 0.147 * [simplify]: Simplifying using # : (* y (sqrt x)) (+ (log y) (log (sqrt x))) (log (* y (sqrt x))) (exp (* y (sqrt x))) (* (* (* y y) y) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* y (sqrt x))) (cbrt (* y (sqrt x)))) (cbrt (* y (sqrt x))) (* (* (* y (sqrt x)) (* y (sqrt x))) (* y (sqrt x))) (sqrt (* y (sqrt x))) (sqrt (* y (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* y (sqrt (* (cbrt x) (cbrt x)))) (* y (sqrt (sqrt x))) (* y (sqrt 1)) (* y (sqrt (sqrt x))) (* y 1) (* (cbrt y) (sqrt x)) (* (sqrt y) (sqrt x)) (* y (sqrt x)) (+ (* (pow x 2) (* (pow NAN 3) y)) (+ (* x (* NAN y)) (* (pow x 3) (* (pow NAN 5) y)))) (+ (/ (* (pow NAN 3) y) x) (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2)))) (- (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2))) (/ (* (pow NAN 3) y) x)) 0.150 * * [simplify]: iteration 0 : 135 enodes (cost 110 ) 0.153 * * [simplify]: iteration 1 : 571 enodes (cost 105 ) 0.166 * * [simplify]: iteration 2 : 2894 enodes (cost 100 ) 0.229 * * [simplify]: iteration 3 : 5001 enodes (cost 100 ) 0.230 * [simplify]: Simplified to: (* y (sqrt x)) (log (* y (sqrt x))) (log (* y (sqrt x))) (exp (* y (sqrt x))) (pow (* y (sqrt x)) 3) (* (cbrt (* y (sqrt x))) (cbrt (* y (sqrt x)))) (cbrt (* y (sqrt x))) (pow (* y (sqrt x)) 3) (sqrt (* y (sqrt x))) (sqrt (* y (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) y) (* y (sqrt (sqrt x))) y (* y (sqrt (sqrt x))) y (* (cbrt y) (sqrt x)) (* (sqrt y) (sqrt x)) (* y (sqrt x)) (* y (+ (+ (* (pow x 2) (pow NAN 3)) (* x NAN)) (* (pow x 3) (pow NAN 5)))) (+ (* y (+ (/ (pow NAN 5) (pow x 2)) (/ (pow NAN 3) x))) (* NAN y)) (+ (* y (- NAN (/ (pow NAN 3) x))) (/ (* (pow NAN 5) y) (pow x 2))) 0.230 * * * [progress]: adding candidates to table 0.261 * * [progress]: iteration 2 / 4 0.261 * * * [progress]: picking best candidate 0.282 * * * * [pick]: Picked # 0.282 * * * [progress]: localizing error 0.290 * * * [progress]: generating rewritten candidates 0.290 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.299 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.305 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.307 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.311 * * * [progress]: generating series expansions 0.311 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.312 * [approximate]: Taking taylor expansion of (* (sqrt x) y) in (y x) around 0 0.312 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.312 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.312 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.312 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of 0 in x 0.312 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of 0 in x 0.312 * [taylor]: Taking taylor expansion of 0 in x 0.313 * [taylor]: Taking taylor expansion of 0 in x 0.313 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 0.313 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.313 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of 0 in x 0.315 * [taylor]: Taking taylor expansion of 0 in x 0.315 * [taylor]: Taking taylor expansion of 0 in x 0.316 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in (y x) around 0 0.316 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 0.316 * [taylor]: Taking taylor expansion of -1 in x 0.316 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in x 0.316 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.316 * [taylor]: Taking taylor expansion of -1 in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in y 0.316 * [taylor]: Taking taylor expansion of -1 in y 0.316 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in y 0.316 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.316 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.316 * [taylor]: Taking taylor expansion of -1 in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in y 0.316 * [taylor]: Taking taylor expansion of -1 in y 0.316 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in y 0.316 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.316 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.316 * [taylor]: Taking taylor expansion of -1 in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ -1 x))) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.317 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.317 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of 0 in x 0.317 * [taylor]: Taking taylor expansion of 0 in x 0.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.318 * [approximate]: Taking taylor expansion of (* (pow x 1/4) y) in (y x) around 0 0.318 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.318 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.318 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.318 * [taylor]: Taking taylor expansion of 1/4 in x 0.318 * [taylor]: Taking taylor expansion of (log x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in y 0.319 * [taylor]: Taking taylor expansion of (pow x 1/4) in y 0.319 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in y 0.319 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in y 0.319 * [taylor]: Taking taylor expansion of 1/4 in y 0.319 * [taylor]: Taking taylor expansion of (log x) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in y 0.319 * [taylor]: Taking taylor expansion of (pow x 1/4) in y 0.319 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in y 0.319 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in y 0.319 * [taylor]: Taking taylor expansion of 1/4 in y 0.319 * [taylor]: Taking taylor expansion of (log x) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of 0 in x 0.319 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.319 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.319 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.319 * [taylor]: Taking taylor expansion of 1/4 in x 0.319 * [taylor]: Taking taylor expansion of (log x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [approximate]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in (y x) around 0 0.321 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 0.321 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.321 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.322 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.322 * [taylor]: Taking taylor expansion of 1/4 in x 0.322 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.322 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.322 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.322 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.322 * [taylor]: Taking taylor expansion of 1/4 in y 0.322 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.322 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.322 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.322 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.322 * [taylor]: Taking taylor expansion of 1/4 in y 0.322 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.323 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.323 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.323 * [taylor]: Taking taylor expansion of 1/4 in x 0.323 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of 0 in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.326 * [taylor]: Taking taylor expansion of 0 in x 0.326 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in (y x) around 0 0.326 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 0.326 * [taylor]: Taking taylor expansion of -1 in x 0.326 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.326 * [taylor]: Taking taylor expansion of -1 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 0.326 * [taylor]: Taking taylor expansion of -1 in y 0.326 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.326 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.326 * [taylor]: Taking taylor expansion of -1 in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 0.327 * [taylor]: Taking taylor expansion of -1 in y 0.327 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 0.327 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.327 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.327 * [taylor]: Taking taylor expansion of -1 in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (* -1 (sqrt (sqrt (/ -1 x)))) in x 0.327 * [taylor]: Taking taylor expansion of -1 in x 0.327 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.327 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.327 * [taylor]: Taking taylor expansion of -1 in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 0 in x 0.328 * [taylor]: Taking taylor expansion of 0 in x 0.329 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.329 * [approximate]: Taking taylor expansion of (pow x 1/4) in (x) around 0 0.329 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.329 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.329 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.329 * [taylor]: Taking taylor expansion of 1/4 in x 0.329 * [taylor]: Taking taylor expansion of (log x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.330 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.330 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.330 * [taylor]: Taking taylor expansion of 1/4 in x 0.330 * [taylor]: Taking taylor expansion of (log x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.336 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/4) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.336 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.336 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.336 * [taylor]: Taking taylor expansion of 1/4 in x 0.336 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.336 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.336 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.336 * [taylor]: Taking taylor expansion of 1/4 in x 0.336 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.343 * [approximate]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in (x) around 0 0.343 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.343 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.343 * [taylor]: Taking taylor expansion of -1 in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.343 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.343 * [taylor]: Taking taylor expansion of -1 in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.344 * [approximate]: Taking taylor expansion of (pow x 1/4) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.344 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.344 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.344 * [taylor]: Taking taylor expansion of 1/4 in x 0.344 * [taylor]: Taking taylor expansion of (log x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.344 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.344 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.344 * [taylor]: Taking taylor expansion of 1/4 in x 0.344 * [taylor]: Taking taylor expansion of (log x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.352 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/4) in (x) around 0 0.352 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.353 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of 1/4 in x 0.353 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.353 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of 1/4 in x 0.353 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.359 * [approximate]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.359 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.359 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.360 * [taylor]: Taking taylor expansion of -1 in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.361 * * * [progress]: simplifying candidates 0.362 * [simplify]: Simplifying using # : (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (+ (+ (log y) (log (sqrt (sqrt x)))) (log (sqrt (sqrt x)))) (+ (log (* y (sqrt (sqrt x)))) (log (sqrt (sqrt x)))) (log (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (exp (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (* (* y y) y) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (* (* y (sqrt (sqrt x))) (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x)))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))))) (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (sqrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (sqrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt 1))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (sqrt 1)) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) 1) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (+ (log y) (log (sqrt (sqrt x)))) (log (* y (sqrt (sqrt x)))) (exp (* y (sqrt (sqrt x)))) (* (* (* y y) y) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (cbrt (* y (sqrt (sqrt x)))) (cbrt (* y (sqrt (sqrt x))))) (cbrt (* y (sqrt (sqrt x)))) (* (* (* y (sqrt (sqrt x))) (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* y (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* y (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* y (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* y (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt 1))) (* y (sqrt (sqrt (sqrt x)))) (* y (sqrt 1)) (* y (sqrt (sqrt (sqrt x)))) (* y 1) (* (cbrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x))) (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt 1)) (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt 1) (sqrt (sqrt x)) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x))) (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt 1)) (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt 1) (sqrt (sqrt x)) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (+ (* (pow x 2) (* (pow NAN 3) y)) (+ (* x (* NAN y)) (* (pow x 3) (* (pow NAN 5) y)))) (+ (/ (* (pow NAN 3) y) x) (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2)))) (- (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2))) (/ (* (pow NAN 3) y) x)) (* y (exp (* 1/4 (+ (log 1) (log x))))) (* y (exp (* 1/4 (- (log 1) (log (/ 1 x)))))) (- (+ (* 3/8 (* (/ y (pow x 2)) (sqrt (pow NAN 9)))) (* (sqrt NAN) y)) (* 1/2 (* (/ y x) (sqrt (pow NAN 5))))) (exp (* 1/4 (+ (log 1) (log x)))) (exp (* 1/4 (- (log 1) (log (/ 1 x))))) (- (+ (* 3/8 (* (/ 1 (pow x 2)) (sqrt (pow NAN 9)))) (sqrt NAN)) (* 1/2 (* (/ 1 x) (sqrt (pow NAN 5))))) (exp (* 1/4 (+ (log 1) (log x)))) (exp (* 1/4 (- (log 1) (log (/ 1 x))))) (- (+ (* 3/8 (* (/ 1 (pow x 2)) (sqrt (pow NAN 9)))) (sqrt NAN)) (* 1/2 (* (/ 1 x) (sqrt (pow NAN 5))))) 0.366 * * [simplify]: iteration 0 : 313 enodes (cost 517 ) 0.373 * * [simplify]: iteration 1 : 1342 enodes (cost 467 ) 0.399 * * [simplify]: iteration 2 : 5001 enodes (cost 423 ) 0.402 * [simplify]: Simplified to: (* y (sqrt x)) (* y (sqrt x)) (+ (log y) (log (sqrt x))) (+ (log y) (log (sqrt x))) (+ (log y) (log (sqrt x))) (pow (exp y) (sqrt x)) (pow (* y (sqrt x)) 3) (pow (* y (sqrt x)) 3) (* (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))))) (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (pow (* y (sqrt x)) 3) (sqrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (sqrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* y (* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (sqrt x) (* y (sqrt (sqrt x))) (log (* y (sqrt (sqrt x)))) (log (* y (sqrt (sqrt x)))) (exp (* y (sqrt (sqrt x)))) (pow (* y (sqrt (sqrt x))) 3) (* (cbrt (* y (sqrt (sqrt x)))) (cbrt (* y (sqrt (sqrt x))))) (cbrt (* y (sqrt (sqrt x)))) (pow (* y (sqrt (sqrt x))) 3) (sqrt (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* y (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* (fabs (cbrt (sqrt x))) y) (* y (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* y (sqrt (sqrt (sqrt x)))) y (* y (sqrt (sqrt (sqrt x)))) y (* y (sqrt (sqrt (sqrt x)))) y (* (cbrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (pow (sqrt (sqrt x)) 3) (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) 1/4 1/2 1/4 (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (pow (sqrt (sqrt x)) 3) (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) 1/4 1/2 1/4 (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (* y (+ (+ (* (pow x 2) (pow NAN 3)) (* x NAN)) (* (pow x 3) (pow NAN 5)))) (+ (* y (+ (/ (pow NAN 5) (pow x 2)) (/ (pow NAN 3) x))) (* NAN y)) (- (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2))) (/ (* (pow NAN 3) y) x)) (* y (pow x 1/4)) (* y (pow x 1/4)) (- (+ (* 3/8 (* (/ y (pow x 2)) (sqrt (pow NAN 9)))) (* (sqrt NAN) y)) (* 1/2 (* (/ y x) (sqrt (pow NAN 5))))) (pow x 1/4) (pow x 1/4) (- (sqrt NAN) (- (/ (* 1/2 (sqrt (pow NAN 5))) x) (/ (* 3/8 (sqrt (pow NAN 9))) (pow x 2)))) (pow x 1/4) (pow x 1/4) (- (sqrt NAN) (- (/ (* 1/2 (sqrt (pow NAN 5))) x) (/ (* 3/8 (sqrt (pow NAN 9))) (pow x 2)))) 0.403 * * * [progress]: adding candidates to table 0.490 * * [progress]: iteration 3 / 4 0.490 * * * [progress]: picking best candidate 0.517 * * * * [pick]: Picked # 0.517 * * * [progress]: localizing error 0.531 * * * [progress]: generating rewritten candidates 0.531 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.539 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.544 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.548 * * * [progress]: generating series expansions 0.548 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.548 * [approximate]: Taking taylor expansion of (* (sqrt x) y) in (y x) around 0 0.548 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.548 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.548 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.548 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.548 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of 0 in x 0.548 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of 0 in x 0.549 * [taylor]: Taking taylor expansion of 0 in x 0.549 * [taylor]: Taking taylor expansion of 0 in x 0.551 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 0.551 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of 0 in x 0.552 * [taylor]: Taking taylor expansion of 0 in x 0.552 * [taylor]: Taking taylor expansion of 0 in x 0.553 * [approximate]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x)))))) in (y x) around 0 0.553 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x)))))) in x 0.553 * [taylor]: Taking taylor expansion of -1 in x 0.553 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 0.553 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in x 0.553 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in x 0.553 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in x 0.553 * [taylor]: Taking taylor expansion of 1/4 in x 0.553 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 0.553 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.553 * [taylor]: Taking taylor expansion of -1 in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.554 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.554 * [taylor]: Taking taylor expansion of -1 in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x)))))) in y 0.554 * [taylor]: Taking taylor expansion of -1 in y 0.554 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 0.554 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in y 0.554 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in y 0.554 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in y 0.554 * [taylor]: Taking taylor expansion of 1/4 in y 0.554 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in y 0.554 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.554 * [taylor]: Taking taylor expansion of -1 in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 0.554 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.554 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.554 * [taylor]: Taking taylor expansion of -1 in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.555 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x)))))) in y 0.555 * [taylor]: Taking taylor expansion of -1 in y 0.555 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 0.555 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in y 0.555 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in y 0.555 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in y 0.555 * [taylor]: Taking taylor expansion of 1/4 in y 0.555 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in y 0.555 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.555 * [taylor]: Taking taylor expansion of -1 in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.555 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 0.555 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.555 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.555 * [taylor]: Taking taylor expansion of -1 in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.555 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (sqrt (sqrt (/ -1 x))))) in x 0.555 * [taylor]: Taking taylor expansion of -1 in x 0.555 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (sqrt (sqrt (/ -1 x)))) in x 0.555 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in x 0.556 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in x 0.556 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in x 0.556 * [taylor]: Taking taylor expansion of 1/4 in x 0.556 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.556 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of 0 in x 0.559 * [taylor]: Taking taylor expansion of 0 in x 0.561 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.561 * [approximate]: Taking taylor expansion of (* (pow x 1/4) y) in (y x) around 0 0.561 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.561 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.561 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.561 * [taylor]: Taking taylor expansion of 1/4 in x 0.561 * [taylor]: Taking taylor expansion of (log x) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in y 0.561 * [taylor]: Taking taylor expansion of (pow x 1/4) in y 0.561 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in y 0.561 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in y 0.561 * [taylor]: Taking taylor expansion of 1/4 in y 0.561 * [taylor]: Taking taylor expansion of (log x) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in y 0.562 * [taylor]: Taking taylor expansion of (pow x 1/4) in y 0.562 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in y 0.562 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in y 0.562 * [taylor]: Taking taylor expansion of 1/4 in y 0.562 * [taylor]: Taking taylor expansion of (log x) in y 0.562 * [taylor]: Taking taylor expansion of x in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of 0 in x 0.562 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.562 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.562 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.562 * [taylor]: Taking taylor expansion of 1/4 in x 0.562 * [taylor]: Taking taylor expansion of (log x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of 0 in x 0.564 * [taylor]: Taking taylor expansion of 0 in x 0.564 * [approximate]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in (y x) around 0 0.564 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 0.564 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.564 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.564 * [taylor]: Taking taylor expansion of 1/4 in x 0.564 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.564 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.564 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.564 * [taylor]: Taking taylor expansion of 1/4 in y 0.564 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.565 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.565 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.565 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.565 * [taylor]: Taking taylor expansion of 1/4 in y 0.565 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.565 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.565 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.565 * [taylor]: Taking taylor expansion of 1/4 in x 0.565 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of 0 in x 0.566 * [taylor]: Taking taylor expansion of 0 in x 0.568 * [taylor]: Taking taylor expansion of 0 in x 0.568 * [approximate]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (/ 1 y))) in (y x) around 0 0.568 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (/ 1 y))) in x 0.568 * [taylor]: Taking taylor expansion of -1 in x 0.568 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (/ 1 y)) in x 0.568 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in x 0.568 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in x 0.568 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in x 0.568 * [taylor]: Taking taylor expansion of 1/4 in x 0.568 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.568 * [taylor]: Taking taylor expansion of -1 in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (/ 1 y))) in y 0.568 * [taylor]: Taking taylor expansion of -1 in y 0.568 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (/ 1 y)) in y 0.568 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in y 0.568 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in y 0.568 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in y 0.568 * [taylor]: Taking taylor expansion of 1/4 in y 0.568 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in y 0.568 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.568 * [taylor]: Taking taylor expansion of -1 in y 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (/ 1 y))) in y 0.569 * [taylor]: Taking taylor expansion of -1 in y 0.569 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (/ 1 y)) in y 0.569 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in y 0.569 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in y 0.569 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in y 0.569 * [taylor]: Taking taylor expansion of 1/4 in y 0.569 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in y 0.569 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.569 * [taylor]: Taking taylor expansion of -1 in y 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of (* -1 (pow (/ -1 x) 1/4)) in x 0.569 * [taylor]: Taking taylor expansion of -1 in x 0.569 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in x 0.569 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in x 0.569 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in x 0.569 * [taylor]: Taking taylor expansion of 1/4 in x 0.569 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 0.569 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.569 * [taylor]: Taking taylor expansion of -1 in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of 0 in x 0.571 * [taylor]: Taking taylor expansion of 0 in x 0.572 * [taylor]: Taking taylor expansion of 0 in x 0.573 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.573 * [approximate]: Taking taylor expansion of (pow x 1/4) in (x) around 0 0.573 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.573 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.573 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.573 * [taylor]: Taking taylor expansion of 1/4 in x 0.573 * [taylor]: Taking taylor expansion of (log x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.573 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.573 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.573 * [taylor]: Taking taylor expansion of 1/4 in x 0.573 * [taylor]: Taking taylor expansion of (log x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.579 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/4) in (x) around 0 0.579 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.579 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.579 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.579 * [taylor]: Taking taylor expansion of 1/4 in x 0.579 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.579 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.579 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.579 * [taylor]: Taking taylor expansion of 1/4 in x 0.579 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.585 * [approximate]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in (x) around 0 0.586 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.586 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.586 * [taylor]: Taking taylor expansion of -1 in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.586 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.586 * [taylor]: Taking taylor expansion of -1 in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.587 * * * [progress]: simplifying candidates 0.588 * [simplify]: Simplifying using # : (* (* y (pow x 1/4)) (sqrt (sqrt x))) (+ (+ (log y) (* (log x) 1/4)) (log (sqrt (sqrt x)))) (+ (+ (log y) (* (log x) 1/4)) (log (sqrt (sqrt x)))) (+ (+ (log y) (log (pow x 1/4))) (log (sqrt (sqrt x)))) (+ (log (* y (pow x 1/4))) (log (sqrt (sqrt x)))) (log (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (exp (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (* (* (* (* y y) y) (* (* (pow x 1/4) (pow x 1/4)) (pow x 1/4))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (* (* y (pow x 1/4)) (* y (pow x 1/4))) (* y (pow x 1/4))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (cbrt (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (cbrt (* (* y (pow x 1/4)) (sqrt (sqrt x))))) (cbrt (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (* (* (* (* y (pow x 1/4)) (sqrt (sqrt x))) (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (sqrt (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (sqrt (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (* (* y (pow x 1/4)) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* (* y (pow x 1/4)) (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* (* y (pow x 1/4)) (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* (* y (pow x 1/4)) (sqrt (sqrt (sqrt x)))) (* (* y (pow x 1/4)) (sqrt (sqrt 1))) (* (* y (pow x 1/4)) (sqrt (sqrt (sqrt x)))) (* (* y (pow x 1/4)) (sqrt 1)) (* (* y (pow x 1/4)) (sqrt (sqrt (sqrt x)))) (* (* y (pow x 1/4)) 1) (* (pow x 1/4) (sqrt (sqrt x))) (+ (log y) (* (log x) 1/4)) (+ (log y) (* (log x) 1/4)) (+ (log y) (log (pow x 1/4))) (log (* y (pow x 1/4))) (exp (* y (pow x 1/4))) (* (* (* y y) y) (* (* (pow x 1/4) (pow x 1/4)) (pow x 1/4))) (* (cbrt (* y (pow x 1/4))) (cbrt (* y (pow x 1/4)))) (cbrt (* y (pow x 1/4))) (* (* (* y (pow x 1/4)) (* y (pow x 1/4))) (* y (pow x 1/4))) (sqrt (* y (pow x 1/4))) (sqrt (* y (pow x 1/4))) (* (sqrt y) (pow (sqrt x) 1/4)) (* (sqrt y) (pow (sqrt x) 1/4)) (* (sqrt y) (sqrt (pow x 1/4))) (* (sqrt y) (sqrt (pow x 1/4))) (* (sqrt y) (pow x (/ 1/4 2))) (* (sqrt y) (pow x (/ 1/4 2))) (* y (pow (* (cbrt x) (cbrt x)) 1/4)) (* y (pow (sqrt x) 1/4)) (* y (pow 1 1/4)) (* y (* (cbrt (pow x 1/4)) (cbrt (pow x 1/4)))) (* y (sqrt (pow x 1/4))) (* y 1) (* y (pow x (/ 1/4 2))) (* (cbrt y) (pow x 1/4)) (* (sqrt y) (pow x 1/4)) (* y (pow x 1/4)) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x))) (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt 1)) (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt 1) (sqrt (sqrt x)) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (+ (* (pow x 2) (* (pow NAN 3) y)) (+ (* x (* NAN y)) (* (pow x 3) (* (pow NAN 5) y)))) (+ (/ (* (pow NAN 3) y) x) (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2)))) (- (+ (* (sqrt NAN) (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y)) (* 3/8 (* (/ (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y) (pow x 2)) (sqrt (pow NAN 9))))) (* 1/2 (* (/ (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y) x) (sqrt (pow NAN 5))))) (* y (exp (* 1/4 (+ (log 1) (log x))))) (* y (exp (* 1/4 (- (log 1) (log (/ 1 x)))))) (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y) (exp (* 1/4 (+ (log 1) (log x)))) (exp (* 1/4 (- (log 1) (log (/ 1 x))))) (- (+ (* 3/8 (* (/ 1 (pow x 2)) (sqrt (pow NAN 9)))) (sqrt NAN)) (* 1/2 (* (/ 1 x) (sqrt (pow NAN 5))))) 0.593 * * [simplify]: iteration 0 : 364 enodes (cost 422 ) 0.600 * * [simplify]: iteration 1 : 1680 enodes (cost 382 ) 0.634 * * [simplify]: iteration 2 : 5002 enodes (cost 358 ) 0.636 * [simplify]: Simplified to: (* (* y (pow x 1/4)) (sqrt (sqrt x))) (log (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (log (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (log (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (log (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (log (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (exp (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (pow (* (* y (pow x 1/4)) (sqrt (sqrt x))) 3) (pow (* (* y (pow x 1/4)) (sqrt (sqrt x))) 3) (* (cbrt (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (cbrt (* (* y (pow x 1/4)) (sqrt (sqrt x))))) (cbrt (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (pow (* (* y (pow x 1/4)) (sqrt (sqrt x))) 3) (sqrt (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (sqrt (* (* y (pow x 1/4)) (sqrt (sqrt x)))) (* (* y (pow x 1/4)) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* y (* (pow x 1/4) (fabs (cbrt (sqrt x))))) (* (* y (pow x 1/4)) (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* (* y (pow x 1/4)) (sqrt (sqrt (sqrt x)))) (* y (pow x 1/4)) (* (* y (pow x 1/4)) (sqrt (sqrt (sqrt x)))) (* y (pow x 1/4)) (* (* y (pow x 1/4)) (sqrt (sqrt (sqrt x)))) (* y (pow x 1/4)) (* (pow x 1/4) (sqrt (sqrt x))) (log (* y (pow x 1/4))) (log (* y (pow x 1/4))) (log (* y (pow x 1/4))) (log (* y (pow x 1/4))) (exp (* y (pow x 1/4))) (pow (* y (pow x 1/4)) 3) (* (cbrt (* y (pow x 1/4))) (cbrt (* y (pow x 1/4)))) (cbrt (* y (pow x 1/4))) (pow (* y (pow x 1/4)) 3) (sqrt (* y (pow x 1/4))) (sqrt (* y (pow x 1/4))) (* (sqrt y) (pow (sqrt x) 1/4)) (* (sqrt y) (pow (sqrt x) 1/4)) (* (sqrt y) (sqrt (pow x 1/4))) (* (sqrt y) (sqrt (pow x 1/4))) (* (sqrt y) (pow x 1/8)) (* (sqrt y) (pow x 1/8)) (* y (pow (* (cbrt x) (cbrt x)) 1/4)) (* y (pow (sqrt x) 1/4)) y (* y (* (cbrt (pow x 1/4)) (cbrt (pow x 1/4)))) (* y (sqrt (pow x 1/4))) y (* y (pow x 1/8)) (* (cbrt y) (pow x 1/4)) (* (sqrt y) (pow x 1/4)) (* y (pow x 1/4)) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (pow (sqrt (sqrt x)) 3) (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) 1/4 1/2 1/4 (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (* y (+ (+ (* (pow x 2) (pow NAN 3)) (* x NAN)) (* (pow x 3) (pow NAN 5)))) (+ (* y (+ (/ (pow NAN 5) (pow x 2)) (/ (pow NAN 3) x))) (* NAN y)) (- (+ (* (sqrt NAN) (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y)) (* 3/8 (* (/ (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y) (pow x 2)) (sqrt (pow NAN 9))))) (* 1/2 (* (/ (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y) x) (sqrt (pow NAN 5))))) (* y (pow x 1/4)) (* y (pow x 1/4)) (* y (pow x 1/4)) (pow x 1/4) (pow x 1/4) (- (sqrt NAN) (- (/ (* 1/2 (sqrt (pow NAN 5))) x) (/ (* 3/8 (sqrt (pow NAN 9))) (pow x 2)))) 0.637 * * * [progress]: adding candidates to table 0.727 * * [progress]: iteration 4 / 4 0.727 * * * [progress]: picking best candidate 0.747 * * * * [pick]: Picked # 0.747 * * * [progress]: localizing error 0.759 * * * [progress]: generating rewritten candidates 0.759 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.766 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.775 * * * [progress]: generating series expansions 0.776 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.776 * [approximate]: Taking taylor expansion of (* (sqrt x) y) in (y x) around 0 0.776 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.776 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of y in x 0.776 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.776 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.776 * [taylor]: Taking taylor expansion of x in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.776 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.776 * [taylor]: Taking taylor expansion of x in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of 0 in x 0.776 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of 0 in x 0.777 * [taylor]: Taking taylor expansion of 0 in x 0.777 * [taylor]: Taking taylor expansion of 0 in x 0.778 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 0.778 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.778 * [taylor]: Taking taylor expansion of y in x 0.778 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.778 * [taylor]: Taking taylor expansion of x in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.778 * [taylor]: Taking taylor expansion of x in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of 0 in x 0.779 * [taylor]: Taking taylor expansion of 0 in x 0.779 * [taylor]: Taking taylor expansion of 0 in x 0.780 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ -1 x)) (/ 1 y))) in (y x) around 0 0.780 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ -1 x)) (/ 1 y))) in x 0.780 * [taylor]: Taking taylor expansion of -1 in x 0.780 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (/ 1 y)) in x 0.780 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.780 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.780 * [taylor]: Taking taylor expansion of -1 in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ -1 x)) (/ 1 y))) in y 0.780 * [taylor]: Taking taylor expansion of -1 in y 0.780 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (/ 1 y)) in y 0.780 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.780 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.780 * [taylor]: Taking taylor expansion of -1 in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ -1 x)) (/ 1 y))) in y 0.780 * [taylor]: Taking taylor expansion of -1 in y 0.780 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (/ 1 y)) in y 0.780 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.780 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.780 * [taylor]: Taking taylor expansion of -1 in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ -1 x))) in x 0.781 * [taylor]: Taking taylor expansion of -1 in x 0.781 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.781 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.781 * [taylor]: Taking taylor expansion of -1 in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of 0 in x 0.781 * [taylor]: Taking taylor expansion of 0 in x 0.782 * [taylor]: Taking taylor expansion of 0 in x 0.783 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.783 * [approximate]: Taking taylor expansion of (* (pow x 1/4) y) in (y x) around 0 0.783 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 0.783 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.783 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.783 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.783 * [taylor]: Taking taylor expansion of 1/4 in x 0.783 * [taylor]: Taking taylor expansion of (log x) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in y 0.783 * [taylor]: Taking taylor expansion of (pow x 1/4) in y 0.783 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in y 0.783 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in y 0.783 * [taylor]: Taking taylor expansion of 1/4 in y 0.783 * [taylor]: Taking taylor expansion of (log x) in y 0.783 * [taylor]: Taking taylor expansion of x in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in y 0.783 * [taylor]: Taking taylor expansion of (pow x 1/4) in y 0.783 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in y 0.783 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in y 0.783 * [taylor]: Taking taylor expansion of 1/4 in y 0.783 * [taylor]: Taking taylor expansion of (log x) in y 0.783 * [taylor]: Taking taylor expansion of x in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of 0 in x 0.784 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.784 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.784 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.784 * [taylor]: Taking taylor expansion of 1/4 in x 0.784 * [taylor]: Taking taylor expansion of (log x) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of 0 in x 0.786 * [taylor]: Taking taylor expansion of 0 in x 0.786 * [approximate]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in (y x) around 0 0.786 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 0.786 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.786 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.786 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.786 * [taylor]: Taking taylor expansion of 1/4 in x 0.786 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.786 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.786 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.786 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.786 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.786 * [taylor]: Taking taylor expansion of 1/4 in y 0.786 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.787 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.787 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.787 * [taylor]: Taking taylor expansion of 1/4 in y 0.787 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.787 * [taylor]: Taking taylor expansion of x in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.787 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.787 * [taylor]: Taking taylor expansion of 1/4 in x 0.787 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of 0 in x 0.788 * [taylor]: Taking taylor expansion of 0 in x 0.790 * [taylor]: Taking taylor expansion of 0 in x 0.790 * [approximate]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (/ 1 y))) in (y x) around 0 0.790 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (/ 1 y))) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (/ 1 y)) in x 0.790 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in x 0.790 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in x 0.790 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in x 0.790 * [taylor]: Taking taylor expansion of 1/4 in x 0.790 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.790 * [taylor]: Taking taylor expansion of y in x 0.790 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (/ 1 y))) in y 0.790 * [taylor]: Taking taylor expansion of -1 in y 0.790 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (/ 1 y)) in y 0.790 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in y 0.791 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in y 0.791 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in y 0.791 * [taylor]: Taking taylor expansion of 1/4 in y 0.791 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in y 0.791 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.791 * [taylor]: Taking taylor expansion of -1 in y 0.791 * [taylor]: Taking taylor expansion of x in y 0.791 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.791 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (/ 1 y))) in y 0.791 * [taylor]: Taking taylor expansion of -1 in y 0.791 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (/ 1 y)) in y 0.791 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in y 0.791 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in y 0.791 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in y 0.791 * [taylor]: Taking taylor expansion of 1/4 in y 0.791 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in y 0.791 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.791 * [taylor]: Taking taylor expansion of -1 in y 0.791 * [taylor]: Taking taylor expansion of x in y 0.791 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.791 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of (* -1 (pow (/ -1 x) 1/4)) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in x 0.791 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in x 0.791 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in x 0.791 * [taylor]: Taking taylor expansion of 1/4 in x 0.791 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of 0 in x 0.793 * [taylor]: Taking taylor expansion of 0 in x 0.795 * [taylor]: Taking taylor expansion of 0 in x 0.795 * * * [progress]: simplifying candidates 0.795 * [simplify]: Simplifying using # : (+ (+ (log y) (* (log x) 1/4)) (* (log x) 1/4)) (+ (+ (log y) (* (log x) 1/4)) (* (log x) 1/4)) (+ (+ (log y) (* (log x) 1/4)) (log (pow x 1/4))) (+ (+ (log y) (* (log x) 1/4)) (* (log x) 1/4)) (+ (+ (log y) (* (log x) 1/4)) (* (log x) 1/4)) (+ (+ (log y) (* (log x) 1/4)) (log (pow x 1/4))) (+ (+ (log y) (log (pow x 1/4))) (* (log x) 1/4)) (+ (+ (log y) (log (pow x 1/4))) (* (log x) 1/4)) (+ (+ (log y) (log (pow x 1/4))) (log (pow x 1/4))) (+ (log (* y (pow x 1/4))) (* (log x) 1/4)) (+ (log (* y (pow x 1/4))) (* (log x) 1/4)) (+ (log (* y (pow x 1/4))) (log (pow x 1/4))) (log (* (* y (pow x 1/4)) (pow x 1/4))) (exp (* (* y (pow x 1/4)) (pow x 1/4))) (* (* (* (* y y) y) (* (* (pow x 1/4) (pow x 1/4)) (pow x 1/4))) (* (* (pow x 1/4) (pow x 1/4)) (pow x 1/4))) (* (* (* (* y (pow x 1/4)) (* y (pow x 1/4))) (* y (pow x 1/4))) (* (* (pow x 1/4) (pow x 1/4)) (pow x 1/4))) (* (cbrt (* (* y (pow x 1/4)) (pow x 1/4))) (cbrt (* (* y (pow x 1/4)) (pow x 1/4)))) (cbrt (* (* y (pow x 1/4)) (pow x 1/4))) (* (* (* (* y (pow x 1/4)) (pow x 1/4)) (* (* y (pow x 1/4)) (pow x 1/4))) (* (* y (pow x 1/4)) (pow x 1/4))) (sqrt (* (* y (pow x 1/4)) (pow x 1/4))) (sqrt (* (* y (pow x 1/4)) (pow x 1/4))) (* (* y (pow x 1/4)) (pow (* (cbrt x) (cbrt x)) 1/4)) (* (* y (pow x 1/4)) (pow (sqrt x) 1/4)) (* (* y (pow x 1/4)) (pow 1 1/4)) (* (* y (pow x 1/4)) (* (cbrt (pow x 1/4)) (cbrt (pow x 1/4)))) (* (* y (pow x 1/4)) (sqrt (pow x 1/4))) (* (* y (pow x 1/4)) 1) (* (* y (pow x 1/4)) (pow x (/ 1/4 2))) (* (pow x 1/4) (pow x 1/4)) (+ (log y) (* (log x) 1/4)) (+ (log y) (* (log x) 1/4)) (+ (log y) (log (pow x 1/4))) (log (* y (pow x 1/4))) (exp (* y (pow x 1/4))) (* (* (* y y) y) (* (* (pow x 1/4) (pow x 1/4)) (pow x 1/4))) (* (cbrt (* y (pow x 1/4))) (cbrt (* y (pow x 1/4)))) (cbrt (* y (pow x 1/4))) (* (* (* y (pow x 1/4)) (* y (pow x 1/4))) (* y (pow x 1/4))) (sqrt (* y (pow x 1/4))) (sqrt (* y (pow x 1/4))) (* (sqrt y) (pow (sqrt x) 1/4)) (* (sqrt y) (pow (sqrt x) 1/4)) (* (sqrt y) (sqrt (pow x 1/4))) (* (sqrt y) (sqrt (pow x 1/4))) (* (sqrt y) (pow x (/ 1/4 2))) (* (sqrt y) (pow x (/ 1/4 2))) (* y (pow (* (cbrt x) (cbrt x)) 1/4)) (* y (pow (sqrt x) 1/4)) (* y (pow 1 1/4)) (* y (* (cbrt (pow x 1/4)) (cbrt (pow x 1/4)))) (* y (sqrt (pow x 1/4))) (* y 1) (* y (pow x (/ 1/4 2))) (* (cbrt y) (pow x 1/4)) (* (sqrt y) (pow x 1/4)) (* y (pow x 1/4)) (+ (* (pow x 2) (* (pow NAN 3) y)) (+ (* x (* NAN y)) (* (pow x 3) (* (pow NAN 5) y)))) (+ (/ (* (pow NAN 3) y) x) (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2)))) (- (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2))) (/ (* (pow NAN 3) y) x)) (* y (exp (* 1/4 (+ (log 1) (log x))))) (* y (exp (* 1/4 (- (log 1) (log (/ 1 x)))))) (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y) 0.800 * * [simplify]: iteration 0 : 285 enodes (cost 308 ) 0.806 * * [simplify]: iteration 1 : 1235 enodes (cost 260 ) 0.833 * * [simplify]: iteration 2 : 5002 enodes (cost 245 ) 0.835 * [simplify]: Simplified to: (+ (log y) (log (pow x 1/2))) (+ (log y) (log (pow x 1/2))) (+ (log y) (log (pow x 1/2))) (+ (log y) (log (pow x 1/2))) (+ (log y) (log (pow x 1/2))) (+ (log y) (log (pow x 1/2))) (+ (log y) (log (pow x 1/2))) (+ (log y) (log (pow x 1/2))) (+ (log y) (log (pow x 1/2))) (+ (log y) (log (pow x 1/2))) (+ (log y) (log (pow x 1/2))) (+ (log y) (log (pow x 1/2))) (+ (log y) (log (pow x 1/2))) (pow (exp y) (pow x 1/2)) (pow (* y (pow x 1/2)) 3) (pow (* y (pow x 1/2)) 3) (* (cbrt (* (* y (pow x 1/4)) (pow x 1/4))) (cbrt (* (* y (pow x 1/4)) (pow x 1/4)))) (cbrt (* (* y (pow x 1/4)) (pow x 1/4))) (pow (* y (pow x 1/2)) 3) (sqrt (* (* y (pow x 1/4)) (pow x 1/4))) (sqrt (* (* y (pow x 1/4)) (pow x 1/4))) (* (* y (pow x 1/4)) (pow (* (cbrt x) (cbrt x)) 1/4)) (* (* y (pow x 1/4)) (pow (sqrt x) 1/4)) (* y (pow x 1/4)) (* (* y (pow x 1/4)) (* (cbrt (pow x 1/4)) (cbrt (pow x 1/4)))) (* (* y (pow x 1/4)) (sqrt (pow x 1/4))) (* y (pow x 1/4)) (* (* y (pow x 1/4)) (pow x 1/8)) (pow x 1/2) (log (* y (pow x 1/4))) (log (* y (pow x 1/4))) (log (* y (pow x 1/4))) (log (* y (pow x 1/4))) (exp (* y (pow x 1/4))) (pow (* y (pow x 1/4)) 3) (* (cbrt (* y (pow x 1/4))) (cbrt (* y (pow x 1/4)))) (cbrt (* y (pow x 1/4))) (pow (* y (pow x 1/4)) 3) (sqrt (* y (pow x 1/4))) (sqrt (* y (pow x 1/4))) (* (sqrt y) (pow (sqrt x) 1/4)) (* (sqrt y) (pow (sqrt x) 1/4)) (* (sqrt y) (sqrt (pow x 1/4))) (* (sqrt y) (sqrt (pow x 1/4))) (* (sqrt y) (pow x 1/8)) (* (sqrt y) (pow x 1/8)) (* y (pow (* (cbrt x) (cbrt x)) 1/4)) (* y (pow (sqrt x) 1/4)) y (* y (* (cbrt (pow x 1/4)) (cbrt (pow x 1/4)))) (* y (sqrt (pow x 1/4))) y (* y (pow x 1/8)) (* (cbrt y) (pow x 1/4)) (* (sqrt y) (pow x 1/4)) (* y (pow x 1/4)) (* y (+ (+ (* (pow x 2) (pow NAN 3)) (* x NAN)) (* (pow x 3) (pow NAN 5)))) (+ (* y (+ (/ (pow NAN 5) (pow x 2)) (/ (pow NAN 3) x))) (* NAN y)) (- (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2))) (/ (* (pow NAN 3) y) x)) (* y (pow x 1/4)) (* y (pow x 1/4)) (* y (pow x 1/4)) 0.835 * * * [progress]: adding candidates to table 0.909 * [progress]: [Phase 3 of 3] Extracting. 0.909 * * [regime]: Finding splitpoints for: (# # # # # # # #) 0.911 * * * [regime-changes]: Trying 3 branch expressions: ((+ (- 1.0 x) (* y (sqrt x))) y x) 0.911 * * * * [regimes]: Trying to branch on (+ (- 1.0 x) (* y (sqrt x))) from (# # # # # # # #) 0.977 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 1.036 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.097 * * * [regime]: Found split indices: #