12.203 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.018 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 1.0 in y 0.034 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 1.0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.074 * [taylor]: Taking taylor expansion of -1 in y 0.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of 1.0 in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.075 * [taylor]: Taking taylor expansion of -1 in x 0.075 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.076 * [taylor]: Taking taylor expansion of -1 in x 0.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.076 * [taylor]: Taking taylor expansion of -1 in y 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 1.0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * * * [progress]: simplifying candidates 0.101 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.104 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.108 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.121 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.176 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.177 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.177 * * * [progress]: adding candidates to table 0.212 * * [progress]: iteration 2 / 4 0.212 * * * [progress]: picking best candidate 0.218 * * * * [pick]: Picked # 0.218 * * * [progress]: localizing error 0.225 * * * [progress]: generating rewritten candidates 0.225 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.227 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.229 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.239 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.246 * * * [progress]: generating series expansions 0.246 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.247 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.247 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of 1.0 in y 0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.248 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of 1.0 in y 0.261 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of 1.0 in y 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of 1.0 in y 0.290 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.290 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.290 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 1.0 in y 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.291 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 1.0 in y 0.303 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of 1.0 in y 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of 1.0 in y 0.316 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of 1.0 in y 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of 1.0 in y 0.329 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.329 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.329 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of 1.0 in y 0.329 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of 1.0 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 1.0 in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 1.0 in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.352 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.352 * [taylor]: Taking taylor expansion of -1 in y 0.352 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 1.0 in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.353 * [taylor]: Taking taylor expansion of -1 in x 0.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.354 * [taylor]: Taking taylor expansion of -1 in x 0.354 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.354 * [taylor]: Taking taylor expansion of -1 in y 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of 1.0 in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.381 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.381 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.381 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.381 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of 1.0 in y 0.382 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.384 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 1.0 in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.390 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of 1.0 in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 1.0 in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.410 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.410 * [taylor]: Taking taylor expansion of -1 in y 0.410 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of 1.0 in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.413 * [taylor]: Taking taylor expansion of -1 in x 0.413 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.414 * [taylor]: Taking taylor expansion of -1 in x 0.414 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.416 * [taylor]: Taking taylor expansion of -1 in y 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of 1.0 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.440 * * * [progress]: simplifying candidates 0.441 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (- 1.0 (* y y))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt 1)) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x 1) (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.447 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.453 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.479 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.482 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (pow (* x (+ 1.0 (* y y))) 3) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (+ (pow 1.0 3) (pow (* y y) 3)) x) (+ (* (pow y 2) (- (pow y 2) 1.0)) (* 1.0 1.0)) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (- (* 1.0 1.0) (* (* y y) (* y y))) x) (- 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (log (* x (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) x) (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* 1.0 x) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.483 * * * [progress]: adding candidates to table 0.633 * * [progress]: iteration 3 / 4 0.633 * * * [progress]: picking best candidate 0.638 * * * * [pick]: Picked # 0.638 * * * [progress]: localizing error 0.643 * * * [progress]: generating rewritten candidates 0.643 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.649 * * * [progress]: generating series expansions 0.649 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.649 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.649 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.649 * [taylor]: Taking taylor expansion of x in y 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.653 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.654 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.654 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.665 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.665 * [taylor]: Taking taylor expansion of -1 in y 0.665 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of x in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.666 * [taylor]: Taking taylor expansion of -1 in x 0.666 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.666 * [taylor]: Taking taylor expansion of -1 in x 0.666 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.667 * [taylor]: Taking taylor expansion of -1 in y 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.673 * [taylor]: Taking taylor expansion of 0 in y 0.676 * [taylor]: Taking taylor expansion of 0 in y 0.680 * [taylor]: Taking taylor expansion of 0 in y 0.680 * * * [progress]: simplifying candidates 0.680 * [simplify]: Simplifying using # : (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 0.683 * * [simplify]: iteration 0 : 86 enodes (cost 75 ) 0.686 * * [simplify]: iteration 1 : 289 enodes (cost 60 ) 0.691 * * [simplify]: iteration 2 : 825 enodes (cost 60 ) 0.707 * * [simplify]: iteration 3 : 2881 enodes (cost 60 ) 0.775 * * [simplify]: iteration 4 : 5001 enodes (cost 60 ) 0.776 * [simplify]: Simplified to: (* x (* y y)) (* x (* y y)) (log (* x (* y y))) (log (* x (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (pow (* x (* y y)) 3) (pow (* x (* y y)) 3) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (pow (* x (* y y)) 3) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x (* y y)) 0.776 * * * [progress]: adding candidates to table 0.798 * * [progress]: iteration 4 / 4 0.798 * * * [progress]: picking best candidate 0.803 * * * * [pick]: Picked # 0.803 * * * [progress]: localizing error 0.809 * * * [progress]: generating rewritten candidates 0.809 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.814 * * * [progress]: generating series expansions 0.814 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.814 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.814 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.818 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.818 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of x in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.819 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.819 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.824 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.830 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.830 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.830 * [taylor]: Taking taylor expansion of -1 in y 0.830 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.830 * [taylor]: Taking taylor expansion of x in y 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.830 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.831 * [taylor]: Taking taylor expansion of -1 in x 0.831 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.831 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.831 * [taylor]: Taking taylor expansion of -1 in x 0.831 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.832 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.832 * [taylor]: Taking taylor expansion of -1 in y 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [taylor]: Taking taylor expansion of 0 in y 0.846 * * * [progress]: simplifying candidates 0.846 * [simplify]: Simplifying using # : (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 0.849 * * [simplify]: iteration 0 : 95 enodes (cost 72 ) 0.852 * * [simplify]: iteration 1 : 466 enodes (cost 57 ) 0.863 * * [simplify]: iteration 2 : 2085 enodes (cost 57 ) 0.899 * * [simplify]: iteration 3 : 5001 enodes (cost 56 ) 0.900 * [simplify]: Simplified to: (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* x (pow y 3/2)) (* x y) (pow y 2) (* (* x y) y) (* (* x y) y) (* (* x y) y) 0.900 * * * [progress]: adding candidates to table 0.921 * [progress]: [Phase 3 of 3] Extracting. 0.921 * * [regime]: Finding splitpoints for: (# # # # #) 0.922 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 0.922 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 0.937 * * * * [regimes]: Trying to branch on y from (# # # # #) 0.956 * * * * [regimes]: Trying to branch on x from (# # # # #) 0.973 * * * [regime]: Found split indices: #