9.421 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.099 * * * [progress]: [2/2] Setting up program. 0.101 * [progress]: [Phase 2 of 3] Improving. 0.101 * [simplify]: Simplifying using # : (* x (- 1.0 (* x y))) 0.103 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.104 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.105 * * [simplify]: iteration 2 : 38 enodes (cost 3 ) 0.107 * * [simplify]: iteration 3 : 47 enodes (cost 3 ) 0.108 * * [simplify]: iteration 4 : 47 enodes (cost 3 ) 0.108 * [simplify]: Simplified to: (* x (- 1.0 (* x y))) 0.109 * * [progress]: iteration 1 / 4 0.109 * * * [progress]: picking best candidate 0.111 * * * * [pick]: Picked # 0.111 * * * [progress]: localizing error 0.115 * * * [progress]: generating rewritten candidates 0.115 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.121 * * * [progress]: generating series expansions 0.121 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.122 * [approximate]: Taking taylor expansion of (* x (- 1.0 (* x y))) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in y 0.122 * [taylor]: Taking taylor expansion of 1.0 in y 0.122 * [taylor]: Taking taylor expansion of (* x y) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (* x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (* x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [taylor]: Taking taylor expansion of 1.0 in y 0.122 * [taylor]: Taking taylor expansion of (neg y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in (x y) around 0 0.123 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.123 * [taylor]: Taking taylor expansion of 1.0 in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.123 * [taylor]: Taking taylor expansion of (* x y) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.123 * [taylor]: Taking taylor expansion of (* x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.124 * [taylor]: Taking taylor expansion of (* x y) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.124 * [taylor]: Taking taylor expansion of -1 in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of 1.0 in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in (x y) around 0 0.128 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in y 0.128 * [taylor]: Taking taylor expansion of -1 in y 0.128 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.128 * [taylor]: Taking taylor expansion of 1.0 in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.128 * [taylor]: Taking taylor expansion of (* x y) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.129 * [taylor]: Taking taylor expansion of (* x y) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.129 * [taylor]: Taking taylor expansion of (* x y) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (neg 1.0) in y 0.130 * [taylor]: Taking taylor expansion of 1.0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.131 * * * [progress]: simplifying candidates 0.131 * [simplify]: Simplifying using # : (* x (- 1.0 (* x y))) (+ (log x) (log (- 1.0 (* x y)))) (log (* x (- 1.0 (* x y)))) (exp (* x (- 1.0 (* x y)))) (* (* (* x x) x) (* (* (- 1.0 (* x y)) (- 1.0 (* x y))) (- 1.0 (* x y)))) (* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y))))) (cbrt (* x (- 1.0 (* x y)))) (* (* (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y)))) (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))) (* (sqrt x) (sqrt (- 1.0 (* x y)))) (* (sqrt x) (sqrt (- 1.0 (* x y)))) (* x 1.0) (* x (neg (* x y))) (* x 1.0) (* x (neg (* x y))) (* 1.0 x) (* (neg (* x y)) x) (* 1.0 x) (* (neg (* x y)) x) (* x (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (* x (sqrt (- 1.0 (* x y)))) (* x 1) (* (cbrt x) (- 1.0 (* x y))) (* (sqrt x) (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- (pow 1.0 3) (pow (* x y) 3))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) 0.134 * * [simplify]: iteration 0 : 122 enodes (cost 130 ) 0.137 * * [simplify]: iteration 1 : 534 enodes (cost 113 ) 0.149 * * [simplify]: iteration 2 : 2890 enodes (cost 113 ) 0.214 * * [simplify]: iteration 3 : 5001 enodes (cost 113 ) 0.215 * [simplify]: Simplified to: (* x (- 1.0 (* x y))) (log (* x (- 1.0 (* x y)))) (log (* x (- 1.0 (* x y)))) (exp (* x (- 1.0 (* x y)))) (pow (* x (- 1.0 (* x y))) 3) (* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y))))) (cbrt (* x (- 1.0 (* x y)))) (pow (* x (- 1.0 (* x y))) 3) (sqrt (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))) (* (sqrt (- 1.0 (* x y))) (pow x 1/2)) (* (sqrt (- 1.0 (* x y))) (pow x 1/2)) (* x 1.0) (* x (neg (* x y))) (* x 1.0) (* x (neg (* x y))) (* x 1.0) (* x (neg (* x y))) (* x 1.0) (* x (neg (* x y))) (* x (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (* x (sqrt (- 1.0 (* x y)))) x (* (cbrt x) (- 1.0 (* x y))) (* (sqrt x) (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- (pow 1.0 3) (pow (* x y) 3))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y))) 0.215 * * * [progress]: adding candidates to table 0.242 * * [progress]: iteration 2 / 4 0.242 * * * [progress]: picking best candidate 0.256 * * * * [pick]: Picked # 0.257 * * * [progress]: localizing error 0.266 * * * [progress]: generating rewritten candidates 0.266 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.267 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.269 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.270 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.277 * * * [progress]: generating series expansions 0.277 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.277 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.277 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.277 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.277 * [taylor]: Taking taylor expansion of 1/3 in x 0.277 * [taylor]: Taking taylor expansion of (log x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.277 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.277 * [taylor]: Taking taylor expansion of 1/3 in x 0.277 * [taylor]: Taking taylor expansion of (log x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.283 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.283 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of 1/3 in x 0.283 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.283 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.284 * [taylor]: Taking taylor expansion of 1/3 in x 0.284 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.290 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.290 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.290 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.290 * [taylor]: Taking taylor expansion of -1 in x 0.290 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.290 * [taylor]: Taking taylor expansion of 1/3 in x 0.290 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.290 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.290 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.291 * [taylor]: Taking taylor expansion of 1/3 in x 0.291 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.298 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.298 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.299 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.299 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.299 * [taylor]: Taking taylor expansion of 1/3 in x 0.299 * [taylor]: Taking taylor expansion of (log x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.299 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.299 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.299 * [taylor]: Taking taylor expansion of 1/3 in x 0.299 * [taylor]: Taking taylor expansion of (log x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.305 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.305 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.305 * [taylor]: Taking taylor expansion of 1/3 in x 0.305 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.305 * [taylor]: Taking taylor expansion of 1/3 in x 0.305 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.312 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.312 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.312 * [taylor]: Taking taylor expansion of -1 in x 0.312 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.312 * [taylor]: Taking taylor expansion of 1/3 in x 0.312 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.312 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.312 * [taylor]: Taking taylor expansion of -1 in x 0.312 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.312 * [taylor]: Taking taylor expansion of 1/3 in x 0.312 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.320 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.320 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.320 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.321 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.321 * [taylor]: Taking taylor expansion of 1/3 in x 0.321 * [taylor]: Taking taylor expansion of (log x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.321 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.321 * [taylor]: Taking taylor expansion of 1/3 in x 0.321 * [taylor]: Taking taylor expansion of (log x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.327 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.327 * [taylor]: Taking taylor expansion of 1/3 in x 0.327 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.327 * [taylor]: Taking taylor expansion of 1/3 in x 0.327 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.333 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.333 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.333 * [taylor]: Taking taylor expansion of -1 in x 0.334 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.334 * [taylor]: Taking taylor expansion of 1/3 in x 0.334 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.334 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.334 * [taylor]: Taking taylor expansion of -1 in x 0.334 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.334 * [taylor]: Taking taylor expansion of 1/3 in x 0.334 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.342 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.342 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.342 * [taylor]: Taking taylor expansion of 1/3 in x 0.342 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.342 * [taylor]: Taking taylor expansion of 1/3 in x 0.342 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.348 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.349 * [taylor]: Taking taylor expansion of 1/3 in x 0.349 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.349 * [taylor]: Taking taylor expansion of 1/3 in x 0.349 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.358 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 0.358 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.358 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.358 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.358 * [taylor]: Taking taylor expansion of -1 in x 0.358 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.358 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.358 * [taylor]: Taking taylor expansion of 1/3 in x 0.358 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.358 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.358 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.358 * [taylor]: Taking taylor expansion of -1 in x 0.358 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.358 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.358 * [taylor]: Taking taylor expansion of 1/3 in x 0.358 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.368 * * * [progress]: simplifying candidates 0.369 * [simplify]: Simplifying using # : (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (exp (* 1/3 (+ (log 1) (* 2 (log x))))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 x)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 x))))))) 0.373 * * [simplify]: iteration 0 : 148 enodes (cost 349 ) 0.376 * * [simplify]: iteration 1 : 471 enodes (cost 322 ) 0.387 * * [simplify]: iteration 2 : 2276 enodes (cost 265 ) 0.439 * * [simplify]: iteration 3 : 5002 enodes (cost 252 ) 0.441 * [simplify]: Simplified to: (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) 2/3 2 (* x x) (pow x 2/3) 2 (* 2 (log (cbrt x))) (* 2 (log (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* x x) (fabs (cbrt x)) (fabs (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt x) (cbrt x) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (cbrt x) (cbrt x) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (cbrt x) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (cbrt x) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (cbrt x) (cbrt x) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (cbrt x) (cbrt x) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (cbrt x) (cbrt x) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (pow x 2/3) (pow x 2/3) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 x))))))) 0.441 * * * [progress]: adding candidates to table 0.506 * * [progress]: iteration 3 / 4 0.506 * * * [progress]: picking best candidate 0.522 * * * * [pick]: Picked # 0.522 * * * [progress]: localizing error 0.535 * * * [progress]: generating rewritten candidates 0.535 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.539 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.540 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 0.541 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 0.545 * * * [progress]: generating series expansions 0.545 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.545 * [approximate]: Taking taylor expansion of (pow (pow x 1/9) 4) in (x) around 0 0.545 * [taylor]: Taking taylor expansion of (pow (pow x 1/9) 4) in x 0.545 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 0.545 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 0.545 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 0.546 * [taylor]: Taking taylor expansion of 1/9 in x 0.546 * [taylor]: Taking taylor expansion of (log x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (pow (pow x 1/9) 4) in x 0.546 * [taylor]: Taking taylor expansion of (pow x 1/9) in x 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log x))) in x 0.546 * [taylor]: Taking taylor expansion of (* 1/9 (log x)) in x 0.546 * [taylor]: Taking taylor expansion of 1/9 in x 0.546 * [taylor]: Taking taylor expansion of (log x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.554 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 x) 1/9) 4) in (x) around 0 0.554 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 x) 1/9) 4) in x 0.554 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 0.554 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 0.554 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 0.554 * [taylor]: Taking taylor expansion of 1/9 in x 0.554 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 x) 1/9) 4) in x 0.554 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 0.554 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 0.554 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 0.555 * [taylor]: Taking taylor expansion of 1/9 in x 0.555 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.563 * [approximate]: Taking taylor expansion of (pow (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) 4) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (pow (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) 4) in x 0.563 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 0.563 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 0.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 0.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 0.563 * [taylor]: Taking taylor expansion of 1/3 in x 0.563 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 0.563 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.563 * [taylor]: Taking taylor expansion of -1 in x 0.563 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 0.563 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 0.563 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 0.563 * [taylor]: Taking taylor expansion of 1/9 in x 0.563 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (pow (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) 4) in x 0.564 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 1/3) (pow (/ 1 x) 1/9)) in x 0.564 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in x 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in x 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in x 0.564 * [taylor]: Taking taylor expansion of 1/3 in x 0.564 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in x 0.564 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/9) in x 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 x)))) in x 0.564 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 x))) in x 0.564 * [taylor]: Taking taylor expansion of 1/9 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 0.586 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.586 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.586 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.586 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.586 * [taylor]: Taking taylor expansion of 1/3 in x 0.586 * [taylor]: Taking taylor expansion of (log x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.586 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.586 * [taylor]: Taking taylor expansion of 1/3 in x 0.586 * [taylor]: Taking taylor expansion of (log x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.592 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.592 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.592 * [taylor]: Taking taylor expansion of 1/3 in x 0.592 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.593 * [taylor]: Taking taylor expansion of 1/3 in x 0.593 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.599 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.599 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.599 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.599 * [taylor]: Taking taylor expansion of -1 in x 0.599 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.599 * [taylor]: Taking taylor expansion of 1/3 in x 0.600 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.600 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.600 * [taylor]: Taking taylor expansion of -1 in x 0.600 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.600 * [taylor]: Taking taylor expansion of 1/3 in x 0.600 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.608 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 0.608 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.608 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.608 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.608 * [taylor]: Taking taylor expansion of 1/3 in x 0.608 * [taylor]: Taking taylor expansion of (log x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.608 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.608 * [taylor]: Taking taylor expansion of 1/3 in x 0.608 * [taylor]: Taking taylor expansion of (log x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.614 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.614 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.614 * [taylor]: Taking taylor expansion of 1/3 in x 0.614 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.614 * [taylor]: Taking taylor expansion of 1/3 in x 0.614 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.621 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.621 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.621 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.621 * [taylor]: Taking taylor expansion of 1/3 in x 0.621 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.621 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.621 * [taylor]: Taking taylor expansion of 1/3 in x 0.621 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.629 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 0.629 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.629 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.629 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.629 * [taylor]: Taking taylor expansion of 1/3 in x 0.629 * [taylor]: Taking taylor expansion of (log x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.629 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.629 * [taylor]: Taking taylor expansion of 1/3 in x 0.629 * [taylor]: Taking taylor expansion of (log x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.637 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.637 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.637 * [taylor]: Taking taylor expansion of 1/3 in x 0.637 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.637 * [taylor]: Taking taylor expansion of 1/3 in x 0.637 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.643 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.643 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.643 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.643 * [taylor]: Taking taylor expansion of -1 in x 0.644 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.644 * [taylor]: Taking taylor expansion of 1/3 in x 0.644 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.644 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.644 * [taylor]: Taking taylor expansion of -1 in x 0.644 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.644 * [taylor]: Taking taylor expansion of 1/3 in x 0.644 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.652 * * * [progress]: simplifying candidates 0.653 * [simplify]: Simplifying using # : (* (log (cbrt (cbrt x))) 4) (* (log (cbrt (cbrt x))) 4) (* 1/3 4) (* 1 4) (pow (cbrt (cbrt x)) (* (cbrt 4) (cbrt 4))) (pow (cbrt (cbrt x)) (sqrt 4)) (pow (cbrt (cbrt x)) 1) (pow (cbrt (cbrt (* (cbrt x) (cbrt x)))) 4) (pow (cbrt (cbrt (cbrt x))) 4) (pow (cbrt (cbrt (sqrt x))) 4) (pow (cbrt (cbrt (sqrt x))) 4) (pow (cbrt (cbrt 1)) 4) (pow (cbrt (cbrt x)) 4) (pow (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) 4) (pow (cbrt (cbrt (cbrt x))) 4) (pow (cbrt (sqrt (cbrt x))) 4) (pow (cbrt (sqrt (cbrt x))) 4) (pow (cbrt 1) 4) (pow (cbrt (cbrt x)) 4) (pow (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) 4) (pow (cbrt (cbrt (cbrt x))) 4) (pow (sqrt (cbrt (cbrt x))) 4) (pow (sqrt (cbrt (cbrt x))) 4) (pow 1 4) (pow (cbrt (cbrt x)) 4) (log (pow (cbrt (cbrt x)) 4)) (exp (pow (cbrt (cbrt x)) 4)) (* (cbrt (pow (cbrt (cbrt x)) 4)) (cbrt (pow (cbrt (cbrt x)) 4))) (cbrt (pow (cbrt (cbrt x)) 4)) (* (* (pow (cbrt (cbrt x)) 4) (pow (cbrt (cbrt x)) 4)) (pow (cbrt (cbrt x)) 4)) (sqrt (pow (cbrt (cbrt x)) 4)) (sqrt (pow (cbrt (cbrt x)) 4)) (pow (cbrt (cbrt x)) (/ 4 2)) (pow (cbrt (cbrt x)) (/ 4 2)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (pow (exp (* 1/9 (+ (log 1) (log x)))) 4) (pow (exp (* 1/9 (- (log 1) (log (/ 1 x))))) 4) (* (pow (pow (cbrt -1) 4) 1/3) (pow (exp (* 1/9 (- (log 1) (log (/ -1 x))))) 4)) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) 0.656 * * [simplify]: iteration 0 : 177 enodes (cost 304 ) 0.659 * * [simplify]: iteration 1 : 486 enodes (cost 283 ) 0.668 * * [simplify]: iteration 2 : 1738 enodes (cost 239 ) 0.719 * * [simplify]: iteration 3 : 5001 enodes (cost 239 ) 0.721 * [simplify]: Simplified to: (log (pow (cbrt (cbrt x)) 4)) (log (pow (cbrt (cbrt x)) 4)) 4/3 4 (pow (cbrt (cbrt x)) (* (cbrt 4) (cbrt 4))) (pow (cbrt (cbrt x)) 2) (cbrt (cbrt x)) (pow (cbrt (cbrt (* (cbrt x) (cbrt x)))) 4) (pow (cbrt (cbrt (cbrt x))) 4) (pow (cbrt (cbrt (sqrt x))) 4) (pow (cbrt (cbrt (sqrt x))) 4) 1 (pow (cbrt (cbrt x)) 4) (pow (cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x)))) 4) (pow (cbrt (cbrt (cbrt x))) 4) (pow (cbrt (sqrt (cbrt x))) 4) (pow (cbrt (sqrt (cbrt x))) 4) 1 (pow (cbrt (cbrt x)) 4) (pow (cbrt (cbrt (cbrt x))) 8) (pow (cbrt (cbrt (cbrt x))) 4) (pow (cbrt (cbrt x)) 2) (pow (cbrt (cbrt x)) 2) 1 (pow (cbrt (cbrt x)) 4) (log (pow (cbrt (cbrt x)) 4)) (exp (pow (cbrt (cbrt x)) 4)) (* (cbrt (pow (cbrt (cbrt x)) 4)) (cbrt (pow (cbrt (cbrt x)) 4))) (cbrt (pow (cbrt (cbrt x)) 4)) (pow (pow (cbrt (cbrt x)) 4) 3) (sqrt (pow (cbrt (cbrt x)) 4)) (sqrt (pow (cbrt (cbrt x)) 4)) (pow (cbrt (cbrt x)) 2) (pow (cbrt (cbrt x)) 2) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (pow (cbrt (cbrt x)) 2) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (pow (cbrt (cbrt x)) 2) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (pow (cbrt (cbrt x)) 2) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (pow (* (pow x 1/9) (pow 1 1/9)) 4) (pow (* (pow x 1/9) (pow 1 1/9)) 4) (* (pow (pow (cbrt -1) 4) 1/3) (pow (exp (* 1/9 (- (log 1) (log (/ -1 x))))) 4)) (pow x 1/3) (pow x 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (pow x 1/3) (pow x 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (pow x 1/3) (pow x 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) 0.721 * * * [progress]: adding candidates to table 0.802 * * [progress]: iteration 4 / 4 0.802 * * * [progress]: picking best candidate 0.815 * * * * [pick]: Picked # 0.815 * * * [progress]: localizing error 0.825 * * * [progress]: generating rewritten candidates 0.825 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.833 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.839 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 2) 0.848 * * * [progress]: generating series expansions 0.848 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.849 * [approximate]: Taking taylor expansion of (/ (* x (- 1.0 (* (pow x 2) (pow y 2)))) (+ (* x y) 1.0)) in (x y) around 0 0.849 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (* (pow x 2) (pow y 2)))) (+ (* x y) 1.0)) in y 0.849 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in y 0.849 * [taylor]: Taking taylor expansion of x in y 0.849 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow x 2) (pow y 2))) in y 0.849 * [taylor]: Taking taylor expansion of 1.0 in y 0.849 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.849 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.849 * [taylor]: Taking taylor expansion of x in y 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of (+ (* x y) 1.0) in y 0.849 * [taylor]: Taking taylor expansion of (* x y) in y 0.849 * [taylor]: Taking taylor expansion of x in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of 1.0 in y 0.849 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (* (pow x 2) (pow y 2)))) (+ (* x y) 1.0)) in x 0.849 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow x 2) (pow y 2))) in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of (+ (* x y) 1.0) in x 0.849 * [taylor]: Taking taylor expansion of (* x y) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (* (pow x 2) (pow y 2)))) (+ (* x y) 1.0)) in x 0.849 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow x 2) (pow y 2))) in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.850 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of (+ (* x y) 1.0) in x 0.850 * [taylor]: Taking taylor expansion of (* x y) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of 1.0 in x 0.850 * [taylor]: Taking taylor expansion of 1.0 in y 0.850 * [taylor]: Taking taylor expansion of (neg (* 1.0 y)) in y 0.850 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.850 * [taylor]: Taking taylor expansion of 1.0 in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of 0 in y 0.851 * [taylor]: Taking taylor expansion of 0 in y 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.852 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in (x y) around 0 0.852 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in y 0.852 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.852 * [taylor]: Taking taylor expansion of 1.0 in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.852 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.852 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (* x y)) 1.0)) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) 1.0) in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.852 * [taylor]: Taking taylor expansion of (* x y) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of 1.0 in y 0.853 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in x 0.853 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.853 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.853 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (* x y)) 1.0)) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) 1.0) in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.853 * [taylor]: Taking taylor expansion of (* x y) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of 1.0 in x 0.854 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in x 0.854 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.854 * [taylor]: Taking taylor expansion of 1.0 in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.854 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.854 * [taylor]: Taking taylor expansion of y in x 0.854 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (* x y)) 1.0)) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) 1.0) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.854 * [taylor]: Taking taylor expansion of (* x y) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of y in x 0.854 * [taylor]: Taking taylor expansion of 1.0 in x 0.854 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.854 * [taylor]: Taking taylor expansion of -1 in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of 1.0 in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.857 * [taylor]: Taking taylor expansion of 0 in y 0.858 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0)))) in (x y) around 0 0.858 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0)))) in y 0.858 * [taylor]: Taking taylor expansion of -1 in y 0.858 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in y 0.858 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.858 * [taylor]: Taking taylor expansion of 1.0 in y 0.858 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.858 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.858 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.858 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (* x y)) 1.0)) in y 0.858 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) 1.0) in y 0.858 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.858 * [taylor]: Taking taylor expansion of (* x y) in y 0.858 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of 1.0 in y 0.858 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0)))) in x 0.858 * [taylor]: Taking taylor expansion of -1 in x 0.859 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in x 0.859 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.859 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (* x y)) 1.0)) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) 1.0) in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.859 * [taylor]: Taking taylor expansion of (* x y) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0)))) in x 0.859 * [taylor]: Taking taylor expansion of -1 in x 0.859 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in x 0.859 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.859 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (* x y)) 1.0)) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) 1.0) in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.860 * [taylor]: Taking taylor expansion of (* x y) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of (neg 1.0) in y 0.861 * [taylor]: Taking taylor expansion of 1.0 in y 0.861 * [taylor]: Taking taylor expansion of 0 in y 0.862 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [taylor]: Taking taylor expansion of 0 in y 0.863 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.864 * [approximate]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in (x y) around 0 0.864 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow x 2) (pow y 2))) in y 0.864 * [taylor]: Taking taylor expansion of 1.0 in y 0.864 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow x 2) (pow y 2))) in x 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.864 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow x 2) (pow y 2))) in x 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.864 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [taylor]: Taking taylor expansion of 1.0 in y 0.864 * [taylor]: Taking taylor expansion of 0 in y 0.865 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.865 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in (x y) around 0 0.865 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in y 0.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.865 * [taylor]: Taking taylor expansion of 1.0 in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.865 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.865 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.866 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in x 0.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.866 * [taylor]: Taking taylor expansion of 1.0 in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.866 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in x 0.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.866 * [taylor]: Taking taylor expansion of 1.0 in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.866 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.867 * [taylor]: Taking taylor expansion of -1 in y 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of 0 in y 0.867 * [taylor]: Taking taylor expansion of 1.0 in y 0.868 * [taylor]: Taking taylor expansion of 0 in y 0.869 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x)) in (x y) around 0 0.870 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x)) in y 0.870 * [taylor]: Taking taylor expansion of -1 in y 0.870 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in y 0.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.870 * [taylor]: Taking taylor expansion of 1.0 in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.870 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.870 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.870 * [taylor]: Taking taylor expansion of x in y 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of x in y 0.871 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x)) in x 0.871 * [taylor]: Taking taylor expansion of -1 in x 0.871 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in x 0.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.871 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.871 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x)) in x 0.872 * [taylor]: Taking taylor expansion of -1 in x 0.872 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in x 0.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.872 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of 0 in y 0.873 * [taylor]: Taking taylor expansion of (neg 1.0) in y 0.873 * [taylor]: Taking taylor expansion of 1.0 in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.876 * [taylor]: Taking taylor expansion of 0 in y 0.876 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 2) 0.876 * [approximate]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in (x y) around 0 0.876 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.876 * [taylor]: Taking taylor expansion of x in y 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.876 * [taylor]: Taking taylor expansion of y in y 0.876 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.876 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.877 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in (x y) around 0 0.877 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.877 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.878 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.878 * [taylor]: Taking taylor expansion of y in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.878 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.878 * [taylor]: Taking taylor expansion of y in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of 0 in y 0.879 * [taylor]: Taking taylor expansion of 0 in y 0.879 * [taylor]: Taking taylor expansion of 0 in y 0.880 * [taylor]: Taking taylor expansion of 0 in y 0.880 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in (x y) around 0 0.880 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.880 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.880 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.880 * [taylor]: Taking taylor expansion of x in y 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.880 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.881 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.881 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.881 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of 0 in y 0.882 * [taylor]: Taking taylor expansion of 0 in y 0.882 * [taylor]: Taking taylor expansion of 0 in y 0.883 * [taylor]: Taking taylor expansion of 0 in y 0.883 * * * [progress]: simplifying candidates 0.884 * [simplify]: Simplifying using # : (- (+ (log x) (log (- (* 1.0 1.0) (* (* x y) (* x y))))) (log (+ 1.0 (* x y)))) (- (log (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (log (+ 1.0 (* x y)))) (log (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (exp (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (/ (* (* (* x x) x) (* (* (- (* 1.0 1.0) (* (* x y) (* x y))) (- (* 1.0 1.0) (* (* x y) (* x y)))) (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (* (+ 1.0 (* x y)) (+ 1.0 (* x y))) (+ 1.0 (* x y)))) (/ (* (* (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (* (+ 1.0 (* x y)) (+ 1.0 (* x y))) (+ 1.0 (* x y)))) (* (cbrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (cbrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y))))) (cbrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (* (* (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (sqrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (sqrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (neg (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (neg (+ 1.0 (* x y))) (/ x (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))) (/ x (sqrt (+ 1.0 (* x y)))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (sqrt (+ 1.0 (* x y)))) (/ x 1) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (+ 1.0 (* x y))) (/ 1 (+ 1.0 (* x y))) (/ (+ 1.0 (* x y)) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (sqrt (+ 1.0 (* x y)))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) 1) (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ (pow 1.0 3) (pow (* x y) 3))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (- (* 1.0 1.0) (* (* x y) (* x y)))) (* (+ 1.0 (* x y)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (* x y) (* x y)) (* (* x y) (* x y))) (* (* 1.0 1.0) (* (* x y) (* x y)))))) (* (+ 1.0 (* x y)) (+ (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ (log x) (log (- (* 1.0 1.0) (* (* x y) (* x y))))) (log (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (exp (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (* (* x x) x) (* (* (- (* 1.0 1.0) (* (* x y) (* x y))) (- (* 1.0 1.0) (* (* x y) (* x y)))) (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (cbrt (* x (- (* 1.0 1.0) (* (* x y) (* x y)))))) (cbrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (* (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (sqrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (sqrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* x (* 1.0 1.0)) (* x (neg (* (* x y) (* x y)))) (* x (* 1.0 1.0)) (* x (neg (* (* x y) (* x y)))) (* (* 1.0 1.0) x) (* (neg (* (* x y) (* x y))) x) (* (* 1.0 1.0) x) (* (neg (* (* x y) (* x y))) x) (* x (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))))) (* x (sqrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* x 1) (* x (+ 1.0 (* x y))) (* (cbrt x) (- (* 1.0 1.0) (* (* x y) (* x y)))) (* (sqrt x) (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (pow (* 1.0 1.0) 3) (pow (* (* x y) (* x y)) 3))) (* x (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* x y) (* x y)) (* (* x y) (* x y))))) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (* (* x y) (* x y)) (* (* x y) (* x y)) (* (* x y) (* x y)) (* (* x y) (* x y)) (+ 1 1) (+ 1 1) (+ (+ (log x) (log y)) (+ (log x) (log y))) (+ (+ (log x) (log y)) (log (* x y))) (+ (log (* x y)) (+ (log x) (log y))) (+ (log (* x y)) (log (* x y))) (log (* (* x y) (* x y))) (exp (* (* x y) (* x y))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (* x x) x) (* (* y y) y))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (* x y) (* x y)) (* x y))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (* x x) x) (* (* y y) y))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* (* x y) (* x y))) (cbrt (* (* x y) (* x y)))) (cbrt (* (* x y) (* x y))) (* (* (* (* x y) (* x y)) (* (* x y) (* x y))) (* (* x y) (* x y))) (sqrt (* (* x y) (* x y))) (sqrt (* (* x y) (* x y))) (* x x) (* y y) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* (* x y) x) (* y (* x y)) (- (* 1.0 x) (* 1.0 (* (pow x 2) y))) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (* 1.0 x) (- (* 1.0 x) (* (pow x 3) (pow y 2))) (- (* 1.0 x) (* (pow x 3) (pow y 2))) (* (pow x 2) (pow y 2)) (* (pow x 2) (pow y 2)) (* (pow x 2) (pow y 2)) 0.889 * * [simplify]: iteration 0 : 381 enodes (cost 646 ) 0.898 * * [simplify]: iteration 1 : 2121 enodes (cost 527 ) 0.947 * * [simplify]: iteration 2 : 5003 enodes (cost 527 ) 0.951 * [simplify]: Simplified to: (log (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (log (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (log (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (exp (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (pow (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y))) 3) (pow (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y))) 3) (* (cbrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (cbrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y))))) (cbrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (pow (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y))) 3) (sqrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (sqrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (neg (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (neg (+ 1.0 (* x y))) (/ x (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))) (/ x (sqrt (+ 1.0 (* x y)))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (sqrt (+ 1.0 (* x y)))) x (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (+ 1.0 (* x y))) (/ 1 (+ 1.0 (* x y))) (/ (+ 1.0 (* x y)) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (sqrt (+ 1.0 (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ (pow 1.0 3) (pow (* x y) 3))) x (* (+ (* (* (* x y) (* x y)) (+ (* (* x y) (* x y)) (* 1.0 1.0))) (* (pow 1.0 3) 1.0)) (+ 1.0 (* x y))) (* (+ 1.0 (* x y)) (+ (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (log (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (log (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (exp (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (pow (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) 3) (* (cbrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (cbrt (* x (- (* 1.0 1.0) (* (* x y) (* x y)))))) (cbrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (pow (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) 3) (sqrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (sqrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* x (* 1.0 1.0)) (neg (* (pow x 3) (pow y 2))) (* x (* 1.0 1.0)) (neg (* (pow x 3) (pow y 2))) (* x (* 1.0 1.0)) (neg (* (pow x 3) (pow y 2))) (* x (* 1.0 1.0)) (neg (* (pow x 3) (pow y 2))) (* x (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))))) (* x (sqrt (- (* 1.0 1.0) (* (* x y) (* x y))))) x (* x (+ 1.0 (* x y))) (* (cbrt x) (- (* 1.0 1.0) (* (* x y) (* x y)))) (* (sqrt x) (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (pow (* 1.0 1.0) 3) (pow (* (* x y) (* x y)) 3))) (* (+ (* (pow 1.0 3) 1.0) (neg (* (pow (* x y) 3) (* x y)))) x) 2 2 2 2 (* (* x y) (* x y)) (* (* x y) (* x y)) (* (* x y) (* x y)) (* (* x y) (* x y)) 2 2 (* 2 (log (* x y))) (* 2 (log (* x y))) (* 2 (log (* x y))) (* 2 (log (* x y))) (* 2 (log (* x y))) (exp (* (* x y) (* x y))) (pow (* x y) 6) (pow (* x y) 6) (pow (* x y) 6) (pow (* x y) 6) (* (cbrt (* (* x y) (* x y))) (cbrt (* (* x y) (* x y)))) (cbrt (* (* x y) (* x y))) (pow (* x y) 6) (fabs (* x y)) (fabs (* x y)) (pow x 2) (pow y 2) 2 2 2 2 (* (* x y) x) (* y (* x y)) (* 1.0 (- x (* (pow x 2) y))) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (* 1.0 x) (- (* 1.0 x) (* (pow x 3) (pow y 2))) (- (* 1.0 x) (* (pow x 3) (pow y 2))) (* (* x y) (* x y)) (* (* x y) (* x y)) (* (* x y) (* x y)) 0.951 * * * [progress]: adding candidates to table 1.025 * [progress]: [Phase 3 of 3] Extracting. 1.025 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.027 * * * [regime-changes]: Trying 3 branch expressions: ((* x (- 1.0 (* x y))) y x) 1.027 * * * * [regimes]: Trying to branch on (* x (- 1.0 (* x y))) from (# # # # # # # #) 1.076 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 1.124 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.172 * * * [regime]: Found split indices: #