8.947 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.014 * [simplify]: Sending expressions to egg_math: (sqrt (+ (* h0 h0) (* h1 h1))) 0.017 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.019 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.019 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.039 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.042 * [taylor]: Taking taylor expansion of 1/2 in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of 1/2 in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of 1/2 in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.072 * * * [progress]: simplifying candidates 0.072 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (* -1 x) 0.072 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) h1 h0 (* -1 h0) 0.075 * * [simplify]: iteration 0 : 89 enodes (cost 100 ) 0.078 * * [simplify]: iteration 1 : 215 enodes (cost 97 ) 0.082 * * [simplify]: iteration 2 : 503 enodes (cost 97 ) 0.092 * * [simplify]: iteration 3 : 1265 enodes (cost 97 ) 0.121 * * [simplify]: iteration 4 : 4227 enodes (cost 97 ) 0.209 * * [simplify]: iteration 5 : 5002 enodes (cost 96 ) 0.209 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (* -1 x) 0.209 * * * [progress]: adding candidates to table 0.249 * * [progress]: iteration 2 / 4 0.249 * * * [progress]: picking best candidate 0.253 * * * * [pick]: Picked # 0.253 * * * [progress]: localizing error 0.263 * * * [progress]: generating rewritten candidates 0.263 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.271 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.282 * * * [progress]: generating series expansions 0.282 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.282 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.282 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.285 * [taylor]: Taking taylor expansion of 1/2 in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of 1 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of 1/2 in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of 1 in y 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of 1/2 in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.317 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.317 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.319 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.321 * [taylor]: Taking taylor expansion of 1/2 in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of 1 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of 1/2 in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of 1 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of 1/2 in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.349 * * * [progress]: simplifying candidates 0.350 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (sqrt (log (sqrt (+ (* x x) (* y y)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (log (cbrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (exp (log (sqrt (cbrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log 1)) (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (exp (log (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (exp (log (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (exp (log (sqrt (- (* x x) (* y y))))) (log (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (exp (log (sqrt (+ (* x x) (* y y)))))) (* (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y))))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (* (* (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (sqrt (exp (log (sqrt (+ (* x x) (* y y)))))) (sqrt (exp (log (sqrt (+ (* x x) (* y y)))))) y x (* -1 x) y x (* -1 x) 0.350 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (sqrt (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))))) (exp (log (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log 1)) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))) (exp (log (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))))) (exp (log (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))) (exp (log (sqrt (- (* h0 h0) (* h1 h1))))) (log (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) h1 h0 (* -1 h0) h1 h0 (* -1 h0) 0.354 * * [simplify]: iteration 0 : 136 enodes (cost 253 ) 0.356 * * [simplify]: iteration 1 : 280 enodes (cost 247 ) 0.361 * * [simplify]: iteration 2 : 583 enodes (cost 238 ) 0.371 * * [simplify]: iteration 3 : 1387 enodes (cost 232 ) 0.400 * * [simplify]: iteration 4 : 4698 enodes (cost 232 ) 0.515 * * [simplify]: iteration 5 : 5001 enodes (cost 228 ) 0.516 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (+ (* x x) (* y y)) 3/2) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (sqrt (log (sqrt (+ (* x x) (* y y)))))) E (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (+ (* x x) (* y y)) 3/2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (* -1 x) y x (* -1 x) 0.516 * * * [progress]: adding candidates to table 0.598 * * [progress]: iteration 3 / 4 0.598 * * * [progress]: picking best candidate 0.606 * * * * [pick]: Picked # 0.606 * * * [progress]: localizing error 0.621 * * * [progress]: generating rewritten candidates 0.621 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.630 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.642 * * * [progress]: generating series expansions 0.642 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.642 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.642 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.643 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.644 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.646 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.646 * [taylor]: Taking taylor expansion of 1/2 in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.648 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.648 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of 1 in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.657 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.658 * [taylor]: Taking taylor expansion of 1/2 in y 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.662 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.669 * [taylor]: Taking taylor expansion of 1 in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.671 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.671 * [taylor]: Taking taylor expansion of 1/2 in y 0.671 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.675 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.676 * [approximate]: Taking taylor expansion of (pow E (log (sqrt (+ (pow x 2) (pow y 2))))) in (x y) around 0 0.676 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow x 2) (pow y 2))))) in y 0.676 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow x 2) (pow y 2)))) (log E))) in y 0.676 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow x 2) (pow y 2)))) (log E)) in y 0.676 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in y 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.676 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.676 * [taylor]: Taking taylor expansion of x in y 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.676 * [taylor]: Taking taylor expansion of (log E) in y 0.676 * [taylor]: Taking taylor expansion of E in y 0.676 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow x 2) (pow y 2))))) in x 0.676 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow x 2) (pow y 2)))) (log E))) in x 0.676 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow x 2) (pow y 2)))) (log E)) in x 0.676 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.676 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.677 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (log E) in x 0.681 * [taylor]: Taking taylor expansion of E in x 0.681 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow x 2) (pow y 2))))) in x 0.681 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow x 2) (pow y 2)))) (log E))) in x 0.681 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow x 2) (pow y 2)))) (log E)) in x 0.681 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.681 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.681 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.682 * [taylor]: Taking taylor expansion of (log E) in x 0.682 * [taylor]: Taking taylor expansion of E in x 0.682 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of 0 in y 0.688 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.688 * [taylor]: Taking taylor expansion of 1/2 in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.697 * [approximate]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 0.697 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.697 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (log E))) in y 0.697 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (log E)) in y 0.697 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.697 * [taylor]: Taking taylor expansion of x in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (log E) in y 0.699 * [taylor]: Taking taylor expansion of E in y 0.700 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.700 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (log E))) in x 0.700 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (log E)) in x 0.700 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of (log E) in x 0.702 * [taylor]: Taking taylor expansion of E in x 0.703 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.703 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (log E))) in x 0.703 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (log E)) in x 0.703 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.703 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.703 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.703 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (log E) in x 0.705 * [taylor]: Taking taylor expansion of E in x 0.706 * [taylor]: Taking taylor expansion of (pow x -1) in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.714 * [taylor]: Taking taylor expansion of (/ 1/2 (* x (pow y 2))) in y 0.714 * [taylor]: Taking taylor expansion of 1/2 in y 0.714 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.714 * [taylor]: Taking taylor expansion of x in y 0.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.714 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of 0 in y 0.724 * [approximate]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 0.724 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.724 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (log E))) in y 0.724 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (log E)) in y 0.724 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.724 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of (log E) in y 0.727 * [taylor]: Taking taylor expansion of E in y 0.727 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.727 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (log E))) in x 0.727 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (log E)) in x 0.727 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.728 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of (log E) in x 0.730 * [taylor]: Taking taylor expansion of E in x 0.730 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.730 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (log E))) in x 0.730 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (log E)) in x 0.730 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.732 * [taylor]: Taking taylor expansion of (log E) in x 0.732 * [taylor]: Taking taylor expansion of E in x 0.733 * [taylor]: Taking taylor expansion of (pow x -1) in y 0.733 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.741 * [taylor]: Taking taylor expansion of (/ 1/2 (* x (pow y 2))) in y 0.741 * [taylor]: Taking taylor expansion of 1/2 in y 0.741 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of 0 in y 0.751 * * * [progress]: simplifying candidates 0.752 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* 1 (log (sqrt (+ (* x x) (* y y))))) (* (log E) (log (sqrt (+ (* x x) (* y y))))) (* (log E) (log (sqrt (+ (* x x) (* y y))))) (* 1 (log (sqrt (+ (* x x) (* y y))))) (pow E (log (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (pow E (log (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (pow E (log (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (pow E (log (sqrt (- (* x x) (* y y))))) (pow E 1/2) (pow E 1) (pow E (/ 1 2)) (pow E (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow E (sqrt (log (sqrt (+ (* x x) (* y y)))))) (pow E 1) (pow E (log (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (pow E (log (sqrt (cbrt (+ (* x x) (* y y)))))) (pow E (log (sqrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (sqrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (sqrt 1))) (pow E (log (sqrt (+ (* x x) (* y y))))) (pow E (log (sqrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (sqrt (sqrt (+ (* x x) (* y y)))))) (pow E (log 1)) (pow E (log (sqrt (+ (* x x) (* y y))))) (pow (* (cbrt E) (cbrt E)) (log (sqrt (+ (* x x) (* y y))))) (pow (cbrt E) (log (sqrt (+ (* x x) (* y y))))) (pow (sqrt E) (log (sqrt (+ (* x x) (* y y))))) (pow (sqrt E) (log (sqrt (+ (* x x) (* y y))))) (pow 1 (log (sqrt (+ (* x x) (* y y))))) (pow E (log (sqrt (+ (* x x) (* y y))))) (log (pow E (log (sqrt (+ (* x x) (* y y)))))) (exp (pow E (log (sqrt (+ (* x x) (* y y)))))) (* (cbrt (pow E (log (sqrt (+ (* x x) (* y y)))))) (cbrt (pow E (log (sqrt (+ (* x x) (* y y))))))) (cbrt (pow E (log (sqrt (+ (* x x) (* y y)))))) (* (* (pow E (log (sqrt (+ (* x x) (* y y))))) (pow E (log (sqrt (+ (* x x) (* y y)))))) (pow E (log (sqrt (+ (* x x) (* y y)))))) (sqrt (pow E (log (sqrt (+ (* x x) (* y y)))))) (sqrt (pow E (log (sqrt (+ (* x x) (* y y)))))) (pow E (/ (log (sqrt (+ (* x x) (* y y)))) 2)) (pow E (/ (log (sqrt (+ (* x x) (* y y)))) 2)) y x (* -1 x) y x (* -1 x) 0.752 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* 1 (log (sqrt (+ (* h0 h0) (* h1 h1))))) (* (log h2) (log (sqrt (+ (* h0 h0) (* h1 h1))))) (* (log h2) (log (sqrt (+ (* h0 h0) (* h1 h1))))) (* 1 (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow h2 (log (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))) (pow h2 (log (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))))) (pow h2 (log (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))) (pow h2 (log (sqrt (- (* h0 h0) (* h1 h1))))) (pow h2 1/2) (pow h2 1) (pow h2 (/ 1 2)) (pow h2 (* (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (pow h2 (sqrt (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow h2 1) (pow h2 (log (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow h2 (log (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))))) (pow h2 (log (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))))) (pow h2 (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow h2 (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow h2 (log (sqrt 1))) (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow h2 (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow h2 (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow h2 (log 1)) (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow (* (cbrt h2) (cbrt h2)) (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow (cbrt h2) (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow (sqrt h2) (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow (sqrt h2) (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow 1 (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1))))) (log (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (cbrt (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (cbrt (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (* (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (pow h2 (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow h2 (/ (log (sqrt (+ (* h0 h0) (* h1 h1)))) 2)) (pow h2 (/ (log (sqrt (+ (* h0 h0) (* h1 h1)))) 2)) h1 h0 (* -1 h0) h1 h0 (* -1 h0) 0.756 * * [simplify]: iteration 0 : 205 enodes (cost 384 ) 0.760 * * [simplify]: iteration 1 : 542 enodes (cost 372 ) 0.769 * * [simplify]: iteration 2 : 1697 enodes (cost 365 ) 0.801 * * [simplify]: iteration 3 : 5001 enodes (cost 363 ) 0.803 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (log (pow E (log (sqrt (+ (* x x) (* y y)))))) (log (pow E (log (sqrt (+ (* x x) (* y y)))))) (log (sqrt (+ (* x x) (* y y)))) (pow E (log (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (pow E (log (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (pow E (log (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (pow E (log (sqrt (- (* x x) (* y y))))) (pow E 1/2) E (pow E 1/2) (pow E (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow E (sqrt (log (sqrt (+ (* x x) (* y y)))))) E (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (pow E (log (sqrt (cbrt (+ (* x x) (* y y)))))) (pow E (log (sqrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (sqrt (sqrt (+ (* x x) (* y y)))))) 1 (pow E (log (sqrt (+ (* x x) (* y y))))) (pow E (log (sqrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (sqrt (sqrt (+ (* x x) (* y y)))))) 1 (pow E (log (sqrt (+ (* x x) (* y y))))) (pow (* (cbrt E) (cbrt E)) (log (sqrt (+ (* x x) (* y y))))) (pow (cbrt E) (log (sqrt (+ (* x x) (* y y))))) (pow (sqrt E) (log (sqrt (+ (* x x) (* y y))))) (pow (sqrt E) (log (sqrt (+ (* x x) (* y y))))) 1 (pow E (log (sqrt (+ (* x x) (* y y))))) (log (pow E (log (sqrt (+ (* x x) (* y y)))))) (exp (pow E (log (sqrt (+ (* x x) (* y y)))))) (* (cbrt (pow E (log (sqrt (+ (* x x) (* y y)))))) (cbrt (pow E (log (sqrt (+ (* x x) (* y y))))))) (cbrt (pow E (log (sqrt (+ (* x x) (* y y)))))) (pow (pow E (log (sqrt (+ (* x x) (* y y))))) 3) (sqrt (pow E (log (sqrt (+ (* x x) (* y y)))))) (sqrt (pow E (log (sqrt (+ (* x x) (* y y)))))) (pow E (/ (log (sqrt (+ (* x x) (* y y)))) 2)) (pow E (/ (log (sqrt (+ (* x x) (* y y)))) 2)) y x (* -1 x) y x (* -1 x) 0.804 * * * [progress]: adding candidates to table 0.903 * * [progress]: iteration 4 / 4 0.903 * * * [progress]: picking best candidate 0.914 * * * * [pick]: Picked # 0.914 * * * [progress]: localizing error 0.939 * * * [progress]: generating rewritten candidates 0.939 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 0.950 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1) 0.958 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.972 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.985 * * * [progress]: generating series expansions 0.985 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 0.986 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.986 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.986 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.986 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.986 * [taylor]: Taking taylor expansion of x in y 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.987 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.987 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.988 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.989 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.989 * [taylor]: Taking taylor expansion of 1/2 in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of 0 in y 0.991 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.991 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.992 * [taylor]: Taking taylor expansion of x in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.992 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.996 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.996 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.998 * [taylor]: Taking taylor expansion of 1 in y 0.998 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.000 * [taylor]: Taking taylor expansion of 1/2 in y 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.003 * [taylor]: Taking taylor expansion of 0 in y 1.004 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.004 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.004 * [taylor]: Taking taylor expansion of x in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.012 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.012 * [taylor]: Taking taylor expansion of y in x 1.014 * [taylor]: Taking taylor expansion of 1 in y 1.014 * [taylor]: Taking taylor expansion of 0 in y 1.016 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.016 * [taylor]: Taking taylor expansion of 1/2 in y 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.019 * [taylor]: Taking taylor expansion of 0 in y 1.020 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1) 1.020 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.020 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.020 * [taylor]: Taking taylor expansion of x in y 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.021 * [taylor]: Taking taylor expansion of y in x 1.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.021 * [taylor]: Taking taylor expansion of y in x 1.022 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of 0 in y 1.023 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.023 * [taylor]: Taking taylor expansion of 1/2 in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.025 * [taylor]: Taking taylor expansion of 0 in y 1.025 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.026 * [taylor]: Taking taylor expansion of x in y 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of 1 in y 1.032 * [taylor]: Taking taylor expansion of 0 in y 1.034 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.034 * [taylor]: Taking taylor expansion of 1/2 in y 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.037 * [taylor]: Taking taylor expansion of 0 in y 1.038 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.038 * [taylor]: Taking taylor expansion of x in y 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.041 * [taylor]: Taking taylor expansion of y in x 1.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.045 * [taylor]: Taking taylor expansion of 1 in y 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.047 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.047 * [taylor]: Taking taylor expansion of 1/2 in y 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of 0 in y 1.051 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.051 * [approximate]: Taking taylor expansion of (pow E (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6)))) in (x y) around 0 1.051 * [taylor]: Taking taylor expansion of (pow E (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6)))) in y 1.051 * [taylor]: Taking taylor expansion of (exp (* (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6))) (log E))) in y 1.051 * [taylor]: Taking taylor expansion of (* (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6))) (log E)) in y 1.051 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6))) in y 1.051 * [taylor]: Taking taylor expansion of 2 in y 1.051 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 1/6)) in y 1.051 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in y 1.051 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in y 1.051 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in y 1.051 * [taylor]: Taking taylor expansion of 1/6 in y 1.051 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of (log E) in y 1.052 * [taylor]: Taking taylor expansion of E in y 1.052 * [taylor]: Taking taylor expansion of (pow E (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6)))) in x 1.052 * [taylor]: Taking taylor expansion of (exp (* (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6))) (log E))) in x 1.052 * [taylor]: Taking taylor expansion of (* (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6))) (log E)) in x 1.052 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6))) in x 1.052 * [taylor]: Taking taylor expansion of 2 in x 1.052 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 1/6)) in x 1.052 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 1.052 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 1.052 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 1.052 * [taylor]: Taking taylor expansion of 1/6 in x 1.052 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of (log E) in x 1.053 * [taylor]: Taking taylor expansion of E in x 1.053 * [taylor]: Taking taylor expansion of (pow E (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6)))) in x 1.053 * [taylor]: Taking taylor expansion of (exp (* (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6))) (log E))) in x 1.053 * [taylor]: Taking taylor expansion of (* (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6))) (log E)) in x 1.053 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ (pow x 2) (pow y 2)) 1/6))) in x 1.053 * [taylor]: Taking taylor expansion of 2 in x 1.053 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 1/6)) in x 1.053 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 1.053 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 1.053 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 1.053 * [taylor]: Taking taylor expansion of 1/6 in x 1.053 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.053 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of (log E) in x 1.053 * [taylor]: Taking taylor expansion of E in x 1.054 * [taylor]: Taking taylor expansion of (pow (pow (pow y 2) 1/6) 2) in y 1.054 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/6) in y 1.054 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow y 2)))) in y 1.054 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow y 2))) in y 1.054 * [taylor]: Taking taylor expansion of 1/6 in y 1.054 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.059 * [taylor]: Taking taylor expansion of 0 in y 1.067 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.067 * [taylor]: Taking taylor expansion of 1/3 in y 1.068 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.068 * [taylor]: Taking taylor expansion of 1/3 in y 1.068 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.068 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of 0 in y 1.095 * [approximate]: Taking taylor expansion of (pow E (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)))) in (x y) around 0 1.095 * [taylor]: Taking taylor expansion of (pow E (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)))) in y 1.095 * [taylor]: Taking taylor expansion of (exp (* (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) (log E))) in y 1.095 * [taylor]: Taking taylor expansion of (* (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) (log E)) in y 1.095 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in y 1.095 * [taylor]: Taking taylor expansion of 2 in y 1.095 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) in y 1.095 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 1.095 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.095 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.095 * [taylor]: Taking taylor expansion of 1/6 in y 1.095 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.095 * [taylor]: Taking taylor expansion of x in y 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.096 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of (log E) in y 1.097 * [taylor]: Taking taylor expansion of E in y 1.097 * [taylor]: Taking taylor expansion of (pow E (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)))) in x 1.097 * [taylor]: Taking taylor expansion of (exp (* (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) (log E))) in x 1.097 * [taylor]: Taking taylor expansion of (* (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) (log E)) in x 1.097 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in x 1.097 * [taylor]: Taking taylor expansion of 2 in x 1.097 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) in x 1.097 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.097 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.097 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.097 * [taylor]: Taking taylor expansion of 1/6 in x 1.097 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.099 * [taylor]: Taking taylor expansion of (log E) in x 1.099 * [taylor]: Taking taylor expansion of E in x 1.099 * [taylor]: Taking taylor expansion of (pow E (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)))) in x 1.099 * [taylor]: Taking taylor expansion of (exp (* (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) (log E))) in x 1.099 * [taylor]: Taking taylor expansion of (* (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) (log E)) in x 1.099 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in x 1.099 * [taylor]: Taking taylor expansion of 2 in x 1.099 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) in x 1.099 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.099 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.099 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.099 * [taylor]: Taking taylor expansion of 1/6 in x 1.099 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.100 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.100 * [taylor]: Taking taylor expansion of y in x 1.101 * [taylor]: Taking taylor expansion of (log E) in x 1.101 * [taylor]: Taking taylor expansion of E in x 1.101 * [taylor]: Taking taylor expansion of (pow (pow x -1/3) 2) in y 1.101 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.101 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.101 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.101 * [taylor]: Taking taylor expansion of -1/3 in y 1.101 * [taylor]: Taking taylor expansion of (log x) in y 1.101 * [taylor]: Taking taylor expansion of x in y 1.106 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.114 * [taylor]: Taking taylor expansion of 1/3 in y 1.114 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.114 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.114 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.114 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.114 * [taylor]: Taking taylor expansion of 1/3 in y 1.114 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.115 * [taylor]: Taking taylor expansion of y in y 1.137 * [taylor]: Taking taylor expansion of 0 in y 1.137 * [approximate]: Taking taylor expansion of (pow E (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)))) in (x y) around 0 1.137 * [taylor]: Taking taylor expansion of (pow E (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)))) in y 1.137 * [taylor]: Taking taylor expansion of (exp (* (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) (log E))) in y 1.137 * [taylor]: Taking taylor expansion of (* (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) (log E)) in y 1.137 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in y 1.137 * [taylor]: Taking taylor expansion of 2 in y 1.137 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) in y 1.137 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 1.137 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.137 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.137 * [taylor]: Taking taylor expansion of 1/6 in y 1.137 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.137 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.137 * [taylor]: Taking taylor expansion of x in y 1.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.138 * [taylor]: Taking taylor expansion of y in y 1.139 * [taylor]: Taking taylor expansion of (log E) in y 1.139 * [taylor]: Taking taylor expansion of E in y 1.139 * [taylor]: Taking taylor expansion of (pow E (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)))) in x 1.139 * [taylor]: Taking taylor expansion of (exp (* (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) (log E))) in x 1.139 * [taylor]: Taking taylor expansion of (* (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) (log E)) in x 1.139 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in x 1.139 * [taylor]: Taking taylor expansion of 2 in x 1.139 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) in x 1.139 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.139 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.139 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.139 * [taylor]: Taking taylor expansion of 1/6 in x 1.139 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.140 * [taylor]: Taking taylor expansion of y in x 1.141 * [taylor]: Taking taylor expansion of (log E) in x 1.141 * [taylor]: Taking taylor expansion of E in x 1.141 * [taylor]: Taking taylor expansion of (pow E (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)))) in x 1.141 * [taylor]: Taking taylor expansion of (exp (* (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) (log E))) in x 1.141 * [taylor]: Taking taylor expansion of (* (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) (log E)) in x 1.141 * [taylor]: Taking taylor expansion of (* 2 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in x 1.141 * [taylor]: Taking taylor expansion of 2 in x 1.141 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) in x 1.141 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.141 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.141 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.141 * [taylor]: Taking taylor expansion of 1/6 in x 1.141 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.142 * [taylor]: Taking taylor expansion of y in x 1.142 * [taylor]: Taking taylor expansion of (log E) in x 1.142 * [taylor]: Taking taylor expansion of E in x 1.143 * [taylor]: Taking taylor expansion of (pow (pow x -1/3) 2) in y 1.143 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.143 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.143 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.143 * [taylor]: Taking taylor expansion of -1/3 in y 1.143 * [taylor]: Taking taylor expansion of (log x) in y 1.143 * [taylor]: Taking taylor expansion of x in y 1.148 * [taylor]: Taking taylor expansion of 0 in y 1.156 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.156 * [taylor]: Taking taylor expansion of 1/3 in y 1.156 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.156 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.156 * [taylor]: Taking taylor expansion of 1/3 in y 1.156 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.156 * [taylor]: Taking taylor expansion of x in y 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.157 * [taylor]: Taking taylor expansion of y in y 1.182 * [taylor]: Taking taylor expansion of 0 in y 1.182 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.182 * [approximate]: Taking taylor expansion of (pow E (log (pow (+ (pow x 2) (pow y 2)) 1/6))) in (x y) around 0 1.182 * [taylor]: Taking taylor expansion of (pow E (log (pow (+ (pow x 2) (pow y 2)) 1/6))) in y 1.182 * [taylor]: Taking taylor expansion of (exp (* (log (pow (+ (pow x 2) (pow y 2)) 1/6)) (log E))) in y 1.182 * [taylor]: Taking taylor expansion of (* (log (pow (+ (pow x 2) (pow y 2)) 1/6)) (log E)) in y 1.182 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 1/6)) in y 1.182 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in y 1.182 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in y 1.182 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in y 1.182 * [taylor]: Taking taylor expansion of 1/6 in y 1.182 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.182 * [taylor]: Taking taylor expansion of x in y 1.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.182 * [taylor]: Taking taylor expansion of y in y 1.183 * [taylor]: Taking taylor expansion of (log E) in y 1.183 * [taylor]: Taking taylor expansion of E in y 1.183 * [taylor]: Taking taylor expansion of (pow E (log (pow (+ (pow x 2) (pow y 2)) 1/6))) in x 1.183 * [taylor]: Taking taylor expansion of (exp (* (log (pow (+ (pow x 2) (pow y 2)) 1/6)) (log E))) in x 1.183 * [taylor]: Taking taylor expansion of (* (log (pow (+ (pow x 2) (pow y 2)) 1/6)) (log E)) in x 1.183 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 1/6)) in x 1.183 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 1.183 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 1.183 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 1.183 * [taylor]: Taking taylor expansion of 1/6 in x 1.183 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.183 * [taylor]: Taking taylor expansion of y in x 1.184 * [taylor]: Taking taylor expansion of (log E) in x 1.184 * [taylor]: Taking taylor expansion of E in x 1.184 * [taylor]: Taking taylor expansion of (pow E (log (pow (+ (pow x 2) (pow y 2)) 1/6))) in x 1.184 * [taylor]: Taking taylor expansion of (exp (* (log (pow (+ (pow x 2) (pow y 2)) 1/6)) (log E))) in x 1.184 * [taylor]: Taking taylor expansion of (* (log (pow (+ (pow x 2) (pow y 2)) 1/6)) (log E)) in x 1.184 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 1/6)) in x 1.184 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 1.184 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 1.184 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 1.184 * [taylor]: Taking taylor expansion of 1/6 in x 1.184 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.184 * [taylor]: Taking taylor expansion of y in x 1.184 * [taylor]: Taking taylor expansion of (log E) in x 1.184 * [taylor]: Taking taylor expansion of E in x 1.185 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/6) in y 1.185 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow y 2)))) in y 1.185 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow y 2))) in y 1.185 * [taylor]: Taking taylor expansion of 1/6 in y 1.185 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.185 * [taylor]: Taking taylor expansion of y in y 1.189 * [taylor]: Taking taylor expansion of 0 in y 1.197 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) in y 1.197 * [taylor]: Taking taylor expansion of 1/6 in y 1.197 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 1.197 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 1.197 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 1.197 * [taylor]: Taking taylor expansion of 1/3 in y 1.197 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.197 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.197 * [taylor]: Taking taylor expansion of y in y 1.212 * [taylor]: Taking taylor expansion of 0 in y 1.220 * [approximate]: Taking taylor expansion of (pow E (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in (x y) around 0 1.220 * [taylor]: Taking taylor expansion of (pow E (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in y 1.220 * [taylor]: Taking taylor expansion of (exp (* (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) (log E))) in y 1.220 * [taylor]: Taking taylor expansion of (* (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) (log E)) in y 1.221 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) in y 1.221 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 1.221 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.221 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.221 * [taylor]: Taking taylor expansion of 1/6 in y 1.221 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.221 * [taylor]: Taking taylor expansion of x in y 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.221 * [taylor]: Taking taylor expansion of y in y 1.222 * [taylor]: Taking taylor expansion of (log E) in y 1.222 * [taylor]: Taking taylor expansion of E in y 1.222 * [taylor]: Taking taylor expansion of (pow E (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in x 1.222 * [taylor]: Taking taylor expansion of (exp (* (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) (log E))) in x 1.222 * [taylor]: Taking taylor expansion of (* (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) (log E)) in x 1.222 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) in x 1.222 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.222 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.222 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.222 * [taylor]: Taking taylor expansion of 1/6 in x 1.222 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.223 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.223 * [taylor]: Taking taylor expansion of y in x 1.224 * [taylor]: Taking taylor expansion of (log E) in x 1.224 * [taylor]: Taking taylor expansion of E in x 1.224 * [taylor]: Taking taylor expansion of (pow E (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in x 1.224 * [taylor]: Taking taylor expansion of (exp (* (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) (log E))) in x 1.224 * [taylor]: Taking taylor expansion of (* (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) (log E)) in x 1.224 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) in x 1.224 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.224 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.224 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.224 * [taylor]: Taking taylor expansion of 1/6 in x 1.224 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.226 * [taylor]: Taking taylor expansion of (log E) in x 1.226 * [taylor]: Taking taylor expansion of E in x 1.226 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.226 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.226 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.226 * [taylor]: Taking taylor expansion of -1/3 in y 1.226 * [taylor]: Taking taylor expansion of (log x) in y 1.226 * [taylor]: Taking taylor expansion of x in y 1.231 * [taylor]: Taking taylor expansion of 0 in y 1.238 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.238 * [taylor]: Taking taylor expansion of 1/6 in y 1.238 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.238 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.238 * [taylor]: Taking taylor expansion of 1/3 in y 1.238 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.238 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.238 * [taylor]: Taking taylor expansion of x in y 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.239 * [taylor]: Taking taylor expansion of y in y 1.262 * [taylor]: Taking taylor expansion of 0 in y 1.262 * [approximate]: Taking taylor expansion of (pow E (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in (x y) around 0 1.262 * [taylor]: Taking taylor expansion of (pow E (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in y 1.262 * [taylor]: Taking taylor expansion of (exp (* (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) (log E))) in y 1.262 * [taylor]: Taking taylor expansion of (* (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) (log E)) in y 1.262 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) in y 1.262 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 1.262 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.262 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.262 * [taylor]: Taking taylor expansion of 1/6 in y 1.262 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.262 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.262 * [taylor]: Taking taylor expansion of x in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.262 * [taylor]: Taking taylor expansion of y in y 1.264 * [taylor]: Taking taylor expansion of (log E) in y 1.264 * [taylor]: Taking taylor expansion of E in y 1.264 * [taylor]: Taking taylor expansion of (pow E (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in x 1.264 * [taylor]: Taking taylor expansion of (exp (* (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) (log E))) in x 1.264 * [taylor]: Taking taylor expansion of (* (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) (log E)) in x 1.264 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) in x 1.264 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.264 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.264 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.264 * [taylor]: Taking taylor expansion of 1/6 in x 1.264 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.265 * [taylor]: Taking taylor expansion of y in x 1.265 * [taylor]: Taking taylor expansion of (log E) in x 1.265 * [taylor]: Taking taylor expansion of E in x 1.266 * [taylor]: Taking taylor expansion of (pow E (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6))) in x 1.266 * [taylor]: Taking taylor expansion of (exp (* (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) (log E))) in x 1.266 * [taylor]: Taking taylor expansion of (* (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) (log E)) in x 1.266 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6)) in x 1.266 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 1.266 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.266 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.266 * [taylor]: Taking taylor expansion of 1/6 in x 1.266 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.266 * [taylor]: Taking taylor expansion of x in x 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.266 * [taylor]: Taking taylor expansion of y in x 1.267 * [taylor]: Taking taylor expansion of (log E) in x 1.267 * [taylor]: Taking taylor expansion of E in x 1.267 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.267 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.267 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.267 * [taylor]: Taking taylor expansion of -1/3 in y 1.267 * [taylor]: Taking taylor expansion of (log x) in y 1.268 * [taylor]: Taking taylor expansion of x in y 1.272 * [taylor]: Taking taylor expansion of 0 in y 1.280 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.280 * [taylor]: Taking taylor expansion of 1/6 in y 1.280 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.280 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.280 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.280 * [taylor]: Taking taylor expansion of 1/3 in y 1.280 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.280 * [taylor]: Taking taylor expansion of x in y 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.280 * [taylor]: Taking taylor expansion of y in y 1.300 * [taylor]: Taking taylor expansion of 0 in y 1.300 * * * [progress]: simplifying candidates 1.302 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* 1 (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (* (log E) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (* (log E) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (* 1 (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E 2) (pow E (* 2 (log (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))))) (pow E (* 2 (log (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))))) (pow E (* 2 (log (cbrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))))) (pow E (* 2 (log (cbrt (sqrt (cbrt (+ (* x x) (* y y)))))))) (pow E (* 2 (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))))) (pow E (* 2 (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))))) (pow E (* 2 (log (cbrt (sqrt 1))))) (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (* 2 (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))))) (pow E (* 2 (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))))) (pow E (* 2 (log (cbrt 1)))) (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (* 2 (log (* (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))))))) (pow E (* 2 (log (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))))) (pow E (* 2 (log (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))))) (pow E (* 2 (log (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))))) (pow E (* 2 (log 1))) (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (* (log (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) 2)) (pow E (* (log (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) 2)) (pow E (* (log (cbrt (sqrt (cbrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt 1))) 2)) (pow E (* (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) (pow E (* (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt 1)) 2)) (pow E (* (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) (pow E (* (log (* (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y))))))) 2)) (pow E (* (log (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log 1) 2)) (pow E (* (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) (pow (* (cbrt E) (cbrt E)) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow (cbrt E) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow (sqrt E) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow (sqrt E) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow 1 (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (log (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (exp (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (* (cbrt (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (cbrt (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))))) (cbrt (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (* (* (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (sqrt (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (sqrt (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (pow E (/ (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (/ (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (* 1 (log (cbrt (sqrt (+ (* x x) (* y y)))))) (* (log E) (log (cbrt (sqrt (+ (* x x) (* y y)))))) (* (log E) (log (cbrt (sqrt (+ (* x x) (* y y)))))) (* 1 (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (cbrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))) (pow E (log (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))) (pow E (log (cbrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))) (pow E (log (cbrt (sqrt (- (* x x) (* y y)))))) (pow E 1/3) (pow E 1) (pow E (* (cbrt (log (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (pow E (sqrt (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E 1) (pow E (log (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))) (pow E (log (cbrt (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))) (pow E (log (cbrt (sqrt (cbrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt 1)))) (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt 1))) (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (* (cbrt (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))))) (pow E (log (cbrt (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (sqrt (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (sqrt (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (log 1)) (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow (* (cbrt E) (cbrt E)) (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow (cbrt E) (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow (sqrt E) (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow (sqrt E) (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow 1 (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (log (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (* (cbrt (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (cbrt (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (cbrt (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (* (* (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (sqrt (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (sqrt (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (/ (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) (pow E (/ (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) y x (* -1 x) y x (* -1 x) (+ (pow (pow y 2) 1/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (pow x 2) 1/3) (pow (pow x 2) 1/3) (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) 1.302 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* 1 (* 2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (* (log h2) (* 2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (* (log h2) (* 2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (* 1 (* 2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (pow h2 2) (pow h2 (* 2 (log (cbrt (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))))) (pow h2 (* 2 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(log (cbrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (pow h2 (log (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (pow h2 (log (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (pow h2 (log 1)) (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow (* (cbrt h2) (cbrt h2)) (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow (cbrt h2) (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow (sqrt h2) (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow (sqrt h2) (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow 1 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (log (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (* (cbrt (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (cbrt (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))))) (cbrt (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (* (* (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (sqrt (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (sqrt (pow h2 (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (pow h2 (/ (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) 2)) (pow h2 (/ (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) 2)) h1 h0 (* -1 h0) h1 h0 (* -1 h0) (+ (pow (pow h1 2) 1/3) (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3)))) (pow (pow h0 2) 1/3) (pow (pow h0 2) 1/3) (+ (* 1/6 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3))) (pow h1 1/3)) (pow (/ 1 h0) -1/3) (pow (/ -1 h0) -1/3) 1.309 * * [simplify]: iteration 0 : 447 enodes (cost 1097 ) 1.317 * * [simplify]: iteration 1 : 1702 enodes (cost 1052 ) 1.341 * * [simplify]: iteration 2 : 5001 enodes (cost 1034 ) 1.345 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))) (* (log E) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (* (log E) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow E 2) (pow E (* (log (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) 2)) (pow E (* (log (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) 2)) (pow E (* (log (cbrt (sqrt (cbrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt 1)) 2)) (pow E (* (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) (pow E (* (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt 1)) 2)) (pow E (* (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) (pow E (* 2 (* 2 (log (cbrt (cbrt (sqrt (+ (* x x) (* y y))))))))) (pow E (* (log (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) 1 (pow E (* (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) (pow E (* (log (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) 2)) (pow E (* (log (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) 2)) (pow E (* (log (cbrt (sqrt (cbrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt 1)) 2)) (pow E (* (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) (pow E (* (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (cbrt 1)) 2)) (pow E (* (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) (pow E (* 2 (* 2 (log (cbrt (cbrt (sqrt (+ (* x x) (* y y))))))))) (pow E (* (log (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (* (log (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) 1 (pow E (* (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) (pow (pow E 2/3) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow (cbrt E) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow (sqrt E) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow (sqrt E) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) 1 (pow E (* (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) (* (log E) (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (* (cbrt (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (cbrt (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y))))))))) (cbrt (pow E (* 2 (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (pow (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) 6) (fabs (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (fabs (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (log (cbrt (sqrt (+ (* x x) (* y y))))) (log (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (log (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (log (cbrt (sqrt (+ (* x x) (* y y))))) (pow E (log (cbrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))) (pow E (log (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))) (pow E (log (cbrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))) (pow E (log (cbrt (sqrt (- (* x x) (* y y)))))) (pow E 1/3) E (pow E (* (cbrt (log (cbrt (sqrt (+ (* x x) (* y y)))))) (cbrt (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (pow E (sqrt (log (cbrt (sqrt (+ (* x x) (* y y))))))) E (pow E (log (cbrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))) (pow E (log (cbrt (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))) (pow E (log (cbrt (sqrt (cbrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt 1))) (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow E (log (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (cbrt 1))) (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow E (* (log (cbrt (cbrt (sqrt (+ (* x x) (* y y)))))) 2)) (pow E (log (cbrt (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (sqrt (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (log (sqrt (cbrt (sqrt (+ (* x x) (* y y))))))) 1 (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow (* (cbrt E) (cbrt E)) (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow (cbrt E) (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow (sqrt E) (log (cbrt (sqrt (+ (* x x) (* y y)))))) (pow (sqrt E) (log (cbrt (sqrt (+ (* x x) (* y y)))))) 1 (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) (log (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (* (cbrt (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (cbrt (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))))) (cbrt (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow (pow E (log (cbrt (sqrt (+ (* x x) (* y y)))))) 3) (sqrt (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (sqrt (pow E (log (cbrt (sqrt (+ (* x x) (* y y))))))) (pow E (/ (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) (pow E (/ (log (cbrt (sqrt (+ (* x x) (* y y))))) 2)) y x (* -1 x) y x (* -1 x) (+ (pow (pow y 2) 1/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (pow x 2) 1/3) (pow (pow x 2) 1/3) (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) 1.346 * * * [progress]: adding candidates to table 1.663 * [progress]: [Phase 3 of 3] Extracting. 1.663 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 1.663 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 1.663 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # #) 1.694 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 1.725 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # #) 1.754 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.770 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # # # # #) 1.808 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.821 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # # # # #) 1.861 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 1.880 * * * * [regimes]: Trying to branch on y from (# # # # # # # # #) 1.955 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 1.995 * * * [regime]: Found split indices: #