30.625 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.021 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.039 * [taylor]: Taking taylor expansion of 1/2 in y 0.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.043 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.052 * [taylor]: Taking taylor expansion of 1/2 in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.057 * [taylor]: Taking taylor expansion of -1/8 in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) 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 y))) in x 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) 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 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.067 * [taylor]: Taking taylor expansion of -1/2 in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of -1/8 in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.074 * * * [progress]: simplifying candidates 0.074 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) y))) (log1p (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.078 * * [simplify]: iteration 0 : 126 enodes (cost 102 ) 0.081 * * [simplify]: iteration 1 : 378 enodes (cost 95 ) 0.088 * * [simplify]: iteration 2 : 1147 enodes (cost 92 ) 0.113 * * [simplify]: iteration 3 : 4567 enodes (cost 90 ) 0.221 * * [simplify]: iteration 4 : 5001 enodes (cost 90 ) 0.222 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) y))) (log1p (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (hypot x (pow y 1/2)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (hypot x (pow y 1/2)) (hypot (pow y 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* +nan.0 (fma (- x) x (fma y y (- y)))) (fma 1/2 (/ y x) x) (- (+ x (* 1/2 (/ y x)))) 0.222 * * * [progress]: adding candidates to table 0.265 * * [progress]: iteration 2 / 4 0.265 * * * [progress]: picking best candidate 0.270 * * * * [pick]: Picked # 0.270 * * * [progress]: localizing error 0.275 * * * [progress]: generating rewritten candidates 0.275 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 0.283 * * * [progress]: generating series expansions 0.283 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 0.283 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.283 * [taylor]: Taking taylor expansion of 1/2 in x 0.283 * [taylor]: Taking taylor expansion of (/ y x) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.283 * [taylor]: Taking taylor expansion of 1/2 in y 0.283 * [taylor]: Taking taylor expansion of (/ y x) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.283 * [taylor]: Taking taylor expansion of 1/2 in y 0.283 * [taylor]: Taking taylor expansion of (/ y x) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.284 * [taylor]: Taking taylor expansion of 1/2 in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of 0 in x 0.286 * [taylor]: Taking taylor expansion of 0 in x 0.287 * [taylor]: Taking taylor expansion of 0 in x 0.288 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.288 * [taylor]: Taking taylor expansion of 1/2 in x 0.288 * [taylor]: Taking taylor expansion of (/ x y) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.288 * [taylor]: Taking taylor expansion of 1/2 in y 0.288 * [taylor]: Taking taylor expansion of (/ x y) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.288 * [taylor]: Taking taylor expansion of 1/2 in y 0.288 * [taylor]: Taking taylor expansion of (/ x y) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.288 * [taylor]: Taking taylor expansion of 1/2 in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of 0 in x 0.291 * [taylor]: Taking taylor expansion of 0 in x 0.293 * [taylor]: Taking taylor expansion of 0 in x 0.294 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.294 * [taylor]: Taking taylor expansion of 1/2 in x 0.294 * [taylor]: Taking taylor expansion of (/ x y) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.294 * [taylor]: Taking taylor expansion of 1/2 in y 0.294 * [taylor]: Taking taylor expansion of (/ x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.294 * [taylor]: Taking taylor expansion of 1/2 in y 0.294 * [taylor]: Taking taylor expansion of (/ x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.294 * [taylor]: Taking taylor expansion of 1/2 in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of 0 in x 0.297 * [taylor]: Taking taylor expansion of 0 in x 0.300 * [taylor]: Taking taylor expansion of 0 in x 0.300 * * * [progress]: simplifying candidates 0.300 * [simplify]: Simplifying using # : (expm1 (* 1/2 (/ y x))) (log1p (* 1/2 (/ y x))) (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.304 * * [simplify]: iteration 0 : 166 enodes (cost 134 ) 0.308 * * [simplify]: iteration 1 : 729 enodes (cost 124 ) 0.323 * * [simplify]: iteration 2 : 2968 enodes (cost 124 ) 0.364 * * [simplify]: iteration 3 : 5001 enodes (cost 124 ) 0.369 * [simplify]: Simplified to: (expm1 (* 1/2 (/ y x))) (log1p (* 1/2 (/ y x))) (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (* 1/8 (pow (/ y x) 3)) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.369 * * * [progress]: adding candidates to table 0.417 * * [progress]: iteration 3 / 4 0.417 * * * [progress]: picking best candidate 0.420 * * * * [pick]: Picked # 0.420 * * * [progress]: localizing error 0.424 * * * [progress]: generating rewritten candidates 0.424 * * * [progress]: generating series expansions 0.425 * * * [progress]: simplifying candidates 0.425 * [simplify]: Simplifying using # : 0.427 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.427 * [simplify]: Simplified to: 0.427 * * * [progress]: adding candidates to table 0.428 * * [progress]: iteration 4 / 4 0.428 * * * [progress]: picking best candidate 0.430 * * * * [pick]: Picked # 0.430 * * * [progress]: localizing error 0.446 * * * [progress]: generating rewritten candidates 0.446 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.448 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.450 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.452 * * * [progress]: generating series expansions 0.452 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.452 * [approximate]: Taking taylor expansion of (hypot x (pow y 1/2)) in (x y) around 0 0.452 * [taylor]: Taking taylor expansion of (hypot x (pow y 1/2)) in y 0.452 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (pow y 1/2) (pow y 1/2)))) 0.452 * [taylor]: Taking taylor expansion of (+ (* x x) (* (pow y 1/2) (pow y 1/2))) in y 0.452 * [taylor]: Taking taylor expansion of (* x x) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (* (pow y 1/2) (pow y 1/2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow y 1/2) in y 0.452 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in y 0.452 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in y 0.452 * [taylor]: Taking taylor expansion of 1/2 in y 0.452 * [taylor]: Taking taylor expansion of (log y) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (pow y 1/2) in y 0.453 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in y 0.453 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in y 0.453 * [taylor]: Taking taylor expansion of 1/2 in y 0.453 * [taylor]: Taking taylor expansion of (log y) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (hypot x (pow y 1/2)) in x 0.458 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (pow y 1/2) (pow y 1/2)))) 0.458 * [taylor]: Taking taylor expansion of (+ (* x x) (* (pow y 1/2) (pow y 1/2))) in x 0.458 * [taylor]: Taking taylor expansion of (* x x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (* (pow y 1/2) (pow y 1/2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.458 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.458 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.458 * [taylor]: Taking taylor expansion of 1/2 in x 0.458 * [taylor]: Taking taylor expansion of (log y) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.458 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.458 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.458 * [taylor]: Taking taylor expansion of 1/2 in x 0.459 * [taylor]: Taking taylor expansion of (log y) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (hypot x (pow y 1/2)) in x 0.462 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (pow y 1/2) (pow y 1/2)))) 0.462 * [taylor]: Taking taylor expansion of (+ (* x x) (* (pow y 1/2) (pow y 1/2))) in x 0.462 * [taylor]: Taking taylor expansion of (* x x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (* (pow y 1/2) (pow y 1/2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.462 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.462 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.462 * [taylor]: Taking taylor expansion of 1/2 in x 0.462 * [taylor]: Taking taylor expansion of (log y) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.463 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.463 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.463 * [taylor]: Taking taylor expansion of 1/2 in x 0.463 * [taylor]: Taking taylor expansion of (log y) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.473 * [taylor]: Taking taylor expansion of 1/2 in y 0.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.478 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in (x y) around 0 0.478 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in y 0.478 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)))) 0.478 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2))) in y 0.478 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)) in y 0.478 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in y 0.478 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in y 0.478 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in y 0.478 * [taylor]: Taking taylor expansion of 1/2 in y 0.478 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in y 0.479 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in y 0.479 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in y 0.479 * [taylor]: Taking taylor expansion of 1/2 in y 0.479 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in x 0.485 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)))) 0.485 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2))) in x 0.485 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 0.486 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 0.486 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 0.486 * [taylor]: Taking taylor expansion of 1/2 in x 0.486 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 0.486 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 0.486 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 0.486 * [taylor]: Taking taylor expansion of 1/2 in x 0.486 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in x 0.489 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)))) 0.489 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2))) in x 0.489 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 0.490 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 0.490 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 0.490 * [taylor]: Taking taylor expansion of 1/2 in x 0.490 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 0.490 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 0.490 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 0.490 * [taylor]: Taking taylor expansion of 1/2 in x 0.490 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of 1 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.495 * [taylor]: Taking taylor expansion of 1/2 in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in (x y) around 0 0.501 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in y 0.501 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)))) 0.501 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2))) in y 0.501 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.501 * [taylor]: Taking taylor expansion of -1 in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.501 * [taylor]: Taking taylor expansion of -1 in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)) in y 0.501 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in y 0.501 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in y 0.502 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in y 0.502 * [taylor]: Taking taylor expansion of 1/2 in y 0.502 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in y 0.502 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.502 * [taylor]: Taking taylor expansion of -1 in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in y 0.503 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in y 0.503 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in y 0.503 * [taylor]: Taking taylor expansion of 1/2 in y 0.503 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in y 0.503 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.503 * [taylor]: Taking taylor expansion of -1 in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in x 0.514 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)))) 0.514 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2))) in x 0.514 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.514 * [taylor]: Taking taylor expansion of -1 in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.515 * [taylor]: Taking taylor expansion of -1 in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 0.515 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 0.515 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 0.515 * [taylor]: Taking taylor expansion of 1/2 in x 0.515 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 0.515 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.515 * [taylor]: Taking taylor expansion of -1 in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 0.515 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 0.515 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 0.515 * [taylor]: Taking taylor expansion of 1/2 in x 0.515 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 0.515 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.515 * [taylor]: Taking taylor expansion of -1 in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in x 0.518 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)))) 0.518 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2))) in x 0.518 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.518 * [taylor]: Taking taylor expansion of -1 in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 0.519 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 0.519 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 0.519 * [taylor]: Taking taylor expansion of 1/2 in x 0.519 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 0.519 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.519 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 0.519 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 0.519 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 0.519 * [taylor]: Taking taylor expansion of 1/2 in x 0.519 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 0.519 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.522 * [taylor]: Taking taylor expansion of 1 in y 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.525 * [taylor]: Taking taylor expansion of -1/2 in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.534 * [approximate]: Taking taylor expansion of (pow (hypot x (pow y 1/2)) 3) in (x y) around 0 0.534 * [taylor]: Taking taylor expansion of (pow (hypot x (pow y 1/2)) 3) in y 0.534 * [taylor]: Taking taylor expansion of (hypot x (pow y 1/2)) in y 0.534 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (pow y 1/2) (pow y 1/2)))) 0.534 * [taylor]: Taking taylor expansion of (+ (* x x) (* (pow y 1/2) (pow y 1/2))) in y 0.534 * [taylor]: Taking taylor expansion of (* x x) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [taylor]: Taking taylor expansion of (* (pow y 1/2) (pow y 1/2)) in y 0.534 * [taylor]: Taking taylor expansion of (pow y 1/2) in y 0.534 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in y 0.535 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in y 0.535 * [taylor]: Taking taylor expansion of 1/2 in y 0.535 * [taylor]: Taking taylor expansion of (log y) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of (pow y 1/2) in y 0.535 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in y 0.535 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in y 0.535 * [taylor]: Taking taylor expansion of 1/2 in y 0.535 * [taylor]: Taking taylor expansion of (log y) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (pow (hypot x (pow y 1/2)) 3) in x 0.540 * [taylor]: Taking taylor expansion of (hypot x (pow y 1/2)) in x 0.540 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (pow y 1/2) (pow y 1/2)))) 0.540 * [taylor]: Taking taylor expansion of (+ (* x x) (* (pow y 1/2) (pow y 1/2))) in x 0.540 * [taylor]: Taking taylor expansion of (* x x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (* (pow y 1/2) (pow y 1/2)) in x 0.540 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.540 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.540 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.540 * [taylor]: Taking taylor expansion of 1/2 in x 0.540 * [taylor]: Taking taylor expansion of (log y) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.540 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.540 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.540 * [taylor]: Taking taylor expansion of 1/2 in x 0.540 * [taylor]: Taking taylor expansion of (log y) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.544 * [taylor]: Taking taylor expansion of (pow (hypot x (pow y 1/2)) 3) in x 0.544 * [taylor]: Taking taylor expansion of (hypot x (pow y 1/2)) in x 0.544 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (pow y 1/2) (pow y 1/2)))) 0.544 * [taylor]: Taking taylor expansion of (+ (* x x) (* (pow y 1/2) (pow y 1/2))) in x 0.544 * [taylor]: Taking taylor expansion of (* x x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (* (pow y 1/2) (pow y 1/2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.544 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.544 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.544 * [taylor]: Taking taylor expansion of 1/2 in x 0.544 * [taylor]: Taking taylor expansion of (log y) in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.544 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.544 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.544 * [taylor]: Taking taylor expansion of 1/2 in x 0.544 * [taylor]: Taking taylor expansion of (log y) in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 0.548 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt y)) in y 0.557 * [taylor]: Taking taylor expansion of 3/2 in y 0.557 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of 0 in y 0.571 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 x) (pow (/ 1 y) 1/2)) 3) in (x y) around 0 0.571 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (pow (/ 1 y) 1/2)) 3) in y 0.571 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in y 0.571 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)))) 0.571 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2))) in y 0.572 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.572 * [taylor]: Taking taylor expansion of x in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.572 * [taylor]: Taking taylor expansion of x in y 0.572 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in y 0.572 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in y 0.572 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in y 0.572 * [taylor]: Taking taylor expansion of 1/2 in y 0.572 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in y 0.573 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in y 0.573 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in y 0.573 * [taylor]: Taking taylor expansion of 1/2 in y 0.573 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.573 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (pow (/ 1 y) 1/2)) 3) in x 0.579 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in x 0.579 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)))) 0.579 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2))) in x 0.579 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 0.579 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 0.579 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 0.579 * [taylor]: Taking taylor expansion of 1/2 in x 0.579 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 0.580 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 0.580 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 0.580 * [taylor]: Taking taylor expansion of 1/2 in x 0.580 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.582 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (pow (/ 1 y) 1/2)) 3) in x 0.582 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in x 0.582 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)))) 0.582 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2))) in x 0.583 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)) in x 0.583 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 0.583 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 0.583 * [taylor]: Taking taylor expansion of 1/2 in x 0.583 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 0.583 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 0.583 * [taylor]: Taking taylor expansion of 1/2 in x 0.583 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of 1 in y 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.591 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y 0.591 * [taylor]: Taking taylor expansion of 3/2 in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of 0 in y 0.598 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 x) (pow (/ -1 y) 1/2)) 3) in (x y) around 0 0.598 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (pow (/ -1 y) 1/2)) 3) in y 0.598 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in y 0.598 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)))) 0.598 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2))) in y 0.599 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.599 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.599 * [taylor]: Taking taylor expansion of -1 in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.599 * [taylor]: Taking taylor expansion of -1 in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in y 0.599 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in y 0.599 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in y 0.599 * [taylor]: Taking taylor expansion of 1/2 in y 0.599 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in y 0.599 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.599 * [taylor]: Taking taylor expansion of -1 in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in y 0.600 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in y 0.600 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in y 0.600 * [taylor]: Taking taylor expansion of 1/2 in y 0.600 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in y 0.600 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.600 * [taylor]: Taking taylor expansion of -1 in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (pow (/ -1 y) 1/2)) 3) in x 0.611 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in x 0.611 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)))) 0.611 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2))) in x 0.611 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.612 * [taylor]: Taking taylor expansion of -1 in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)) in x 0.612 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 0.612 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 0.612 * [taylor]: Taking taylor expansion of 1/2 in x 0.612 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 0.612 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.612 * [taylor]: Taking taylor expansion of -1 in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 0.612 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 0.612 * [taylor]: Taking taylor expansion of 1/2 in x 0.612 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 0.612 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.612 * [taylor]: Taking taylor expansion of -1 in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.615 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (pow (/ -1 y) 1/2)) 3) in x 0.615 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in x 0.615 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)))) 0.615 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2))) in x 0.615 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.615 * [taylor]: Taking taylor expansion of -1 in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.615 * [taylor]: Taking taylor expansion of -1 in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)) in x 0.616 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 0.616 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 0.616 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 0.616 * [taylor]: Taking taylor expansion of 1/2 in x 0.616 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 0.616 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.616 * [taylor]: Taking taylor expansion of -1 in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 0.619 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 0.619 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 0.619 * [taylor]: Taking taylor expansion of 1/2 in x 0.619 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 0.619 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.619 * [taylor]: Taking taylor expansion of -1 in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of 1 in y 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 y))) in y 0.626 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y 0.626 * [taylor]: Taking taylor expansion of 3/2 in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.634 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.634 * [approximate]: Taking taylor expansion of (hypot x (pow y 1/2)) in (x y) around 0 0.634 * [taylor]: Taking taylor expansion of (hypot x (pow y 1/2)) in y 0.634 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (pow y 1/2) (pow y 1/2)))) 0.634 * [taylor]: Taking taylor expansion of (+ (* x x) (* (pow y 1/2) (pow y 1/2))) in y 0.634 * [taylor]: Taking taylor expansion of (* x x) in y 0.634 * [taylor]: Taking taylor expansion of x in y 0.634 * [taylor]: Taking taylor expansion of x in y 0.634 * [taylor]: Taking taylor expansion of (* (pow y 1/2) (pow y 1/2)) in y 0.634 * [taylor]: Taking taylor expansion of (pow y 1/2) in y 0.634 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in y 0.634 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in y 0.634 * [taylor]: Taking taylor expansion of 1/2 in y 0.634 * [taylor]: Taking taylor expansion of (log y) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (pow y 1/2) in y 0.635 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in y 0.635 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in y 0.635 * [taylor]: Taking taylor expansion of 1/2 in y 0.635 * [taylor]: Taking taylor expansion of (log y) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of (hypot x (pow y 1/2)) in x 0.640 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (pow y 1/2) (pow y 1/2)))) 0.640 * [taylor]: Taking taylor expansion of (+ (* x x) (* (pow y 1/2) (pow y 1/2))) in x 0.640 * [taylor]: Taking taylor expansion of (* x x) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (* (pow y 1/2) (pow y 1/2)) in x 0.640 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.640 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.640 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.640 * [taylor]: Taking taylor expansion of 1/2 in x 0.640 * [taylor]: Taking taylor expansion of (log y) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.640 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.640 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.640 * [taylor]: Taking taylor expansion of 1/2 in x 0.640 * [taylor]: Taking taylor expansion of (log y) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (hypot x (pow y 1/2)) in x 0.644 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (pow y 1/2) (pow y 1/2)))) 0.644 * [taylor]: Taking taylor expansion of (+ (* x x) (* (pow y 1/2) (pow y 1/2))) in x 0.644 * [taylor]: Taking taylor expansion of (* x x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (* (pow y 1/2) (pow y 1/2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.644 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.644 * [taylor]: Taking taylor expansion of 1/2 in x 0.644 * [taylor]: Taking taylor expansion of (log y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.644 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.644 * [taylor]: Taking taylor expansion of 1/2 in x 0.644 * [taylor]: Taking taylor expansion of (log y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.655 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.655 * [taylor]: Taking taylor expansion of 1/2 in y 0.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.660 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in (x y) around 0 0.660 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in y 0.660 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)))) 0.660 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2))) in y 0.660 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.660 * [taylor]: Taking taylor expansion of x in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.660 * [taylor]: Taking taylor expansion of x in y 0.660 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)) in y 0.660 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in y 0.660 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in y 0.660 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in y 0.660 * [taylor]: Taking taylor expansion of 1/2 in y 0.660 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in y 0.661 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in y 0.661 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in y 0.661 * [taylor]: Taking taylor expansion of 1/2 in y 0.661 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in x 0.667 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)))) 0.667 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2))) in x 0.667 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)) in x 0.668 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 0.668 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 0.668 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 0.668 * [taylor]: Taking taylor expansion of 1/2 in x 0.668 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.668 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 0.668 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 0.668 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 0.668 * [taylor]: Taking taylor expansion of 1/2 in x 0.668 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in x 0.671 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)))) 0.671 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2))) in x 0.671 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)) in x 0.671 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 0.671 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 0.671 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 0.671 * [taylor]: Taking taylor expansion of 1/2 in x 0.671 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 0.672 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 0.672 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 0.672 * [taylor]: Taking taylor expansion of 1/2 in x 0.672 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of 1 in y 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.677 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.677 * [taylor]: Taking taylor expansion of 1/2 in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.682 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in (x y) around 0 0.682 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in y 0.682 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)))) 0.682 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2))) in y 0.682 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.682 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.682 * [taylor]: Taking taylor expansion of -1 in y 0.682 * [taylor]: Taking taylor expansion of x in y 0.683 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.683 * [taylor]: Taking taylor expansion of -1 in y 0.683 * [taylor]: Taking taylor expansion of x in y 0.683 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)) in y 0.683 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in y 0.683 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in y 0.683 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in y 0.683 * [taylor]: Taking taylor expansion of 1/2 in y 0.683 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in y 0.683 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.683 * [taylor]: Taking taylor expansion of -1 in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in y 0.684 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in y 0.684 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in y 0.684 * [taylor]: Taking taylor expansion of 1/2 in y 0.684 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in y 0.684 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.684 * [taylor]: Taking taylor expansion of -1 in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in x 0.695 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)))) 0.695 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2))) in x 0.695 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)) in x 0.696 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 0.696 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 0.696 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 0.696 * [taylor]: Taking taylor expansion of 1/2 in x 0.696 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 0.696 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.696 * [taylor]: Taking taylor expansion of -1 in x 0.696 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 0.696 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 0.696 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 0.696 * [taylor]: Taking taylor expansion of 1/2 in x 0.696 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 0.696 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.696 * [taylor]: Taking taylor expansion of -1 in x 0.696 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in x 0.699 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)))) 0.699 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2))) in x 0.699 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.699 * [taylor]: Taking taylor expansion of -1 in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.699 * [taylor]: Taking taylor expansion of -1 in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 0.700 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 0.700 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 0.700 * [taylor]: Taking taylor expansion of 1/2 in x 0.700 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 0.700 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.700 * [taylor]: Taking taylor expansion of -1 in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 0.700 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 0.700 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 0.700 * [taylor]: Taking taylor expansion of 1/2 in x 0.700 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 0.700 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.700 * [taylor]: Taking taylor expansion of -1 in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of 1 in y 0.706 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.708 * [taylor]: Taking taylor expansion of -1/2 in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.714 * [taylor]: Taking taylor expansion of 0 in y 0.714 * * * [progress]: simplifying candidates 0.715 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (hypot x (pow y 1/2)) 3))) (log1p (cbrt (pow (hypot x (pow y 1/2)) 3))) (log (cbrt (pow (hypot x (pow y 1/2)) 3))) (exp (cbrt (pow (hypot x (pow y 1/2)) 3))) (cbrt (pow (* (cbrt (hypot x (pow y 1/2))) (cbrt (hypot x (pow y 1/2)))) 3)) (cbrt (pow (cbrt (hypot x (pow y 1/2))) 3)) (cbrt (pow (sqrt (hypot x (pow y 1/2))) 3)) (cbrt (pow (sqrt (hypot x (pow y 1/2))) 3)) (cbrt (pow 1 3)) (cbrt (pow (hypot x (pow y 1/2)) 3)) (cbrt (* (hypot x (pow y 1/2)) (hypot x (pow y 1/2)))) (cbrt (hypot x (pow y 1/2))) (cbrt (* (cbrt (pow (hypot x (pow y 1/2)) 3)) (cbrt (pow (hypot x (pow y 1/2)) 3)))) (cbrt (cbrt (pow (hypot x (pow y 1/2)) 3))) (cbrt (pow (* (cbrt (hypot x (pow y 1/2))) (cbrt (hypot x (pow y 1/2)))) 3)) (cbrt (pow (cbrt (hypot x (pow y 1/2))) 3)) (cbrt (pow (sqrt (hypot x (pow y 1/2))) 3)) (cbrt (pow (sqrt (hypot x (pow y 1/2))) 3)) (cbrt (pow 1 3)) (cbrt (pow (hypot x (pow y 1/2)) 3)) (cbrt (hypot x (pow y 1/2))) (cbrt (* (hypot x (pow y 1/2)) (hypot x (pow y 1/2)))) (cbrt (sqrt (pow (hypot x (pow y 1/2)) 3))) (cbrt (sqrt (pow (hypot x (pow y 1/2)) 3))) (cbrt 1) (cbrt (pow (hypot x (pow y 1/2)) 3)) (cbrt (pow (hypot x (pow y 1/2)) (/ 3 2))) (cbrt (pow (hypot x (pow y 1/2)) (/ 3 2))) (* (cbrt (cbrt (pow (hypot x (pow y 1/2)) 3))) (cbrt (cbrt (pow (hypot x (pow y 1/2)) 3)))) (cbrt (cbrt (pow (hypot x (pow y 1/2)) 3))) (* (* (cbrt (pow (hypot x (pow y 1/2)) 3)) (cbrt (pow (hypot x (pow y 1/2)) 3))) (cbrt (pow (hypot x (pow y 1/2)) 3))) (sqrt (cbrt (pow (hypot x (pow y 1/2)) 3))) (sqrt (cbrt (pow (hypot x (pow y 1/2)) 3))) (expm1 (pow (hypot x (pow y 1/2)) 3)) (log1p (pow (hypot x (pow y 1/2)) 3)) (* (log (hypot x (pow y 1/2))) 3) (* (log (hypot x (pow y 1/2))) 3) (* 1 3) (pow (hypot x (pow y 1/2)) (* (cbrt 3) (cbrt 3))) (pow (hypot x (pow y 1/2)) (sqrt 3)) (pow (hypot x (pow y 1/2)) 1) (pow (* (cbrt (hypot x (pow y 1/2))) (cbrt (hypot x (pow y 1/2)))) 3) (pow (cbrt (hypot x (pow y 1/2))) 3) (pow (sqrt (hypot x (pow y 1/2))) 3) (pow (sqrt (hypot x (pow y 1/2))) 3) (pow 1 3) (pow (hypot x (pow y 1/2)) 3) (* (hypot x (pow y 1/2)) (hypot x (pow y 1/2))) (log (pow (hypot x (pow y 1/2)) 3)) (exp (pow (hypot x (pow y 1/2)) 3)) (* (cbrt (pow (hypot x (pow y 1/2)) 3)) (cbrt (pow (hypot x (pow y 1/2)) 3))) (cbrt (pow (hypot x (pow y 1/2)) 3)) (* (* (pow (hypot x (pow y 1/2)) 3) (pow (hypot x (pow y 1/2)) 3)) (pow (hypot x (pow y 1/2)) 3)) (pow (* (cbrt (hypot x (pow y 1/2))) (cbrt (hypot x (pow y 1/2)))) 3) (pow (cbrt (hypot x (pow y 1/2))) 3) (pow (sqrt (hypot x (pow y 1/2))) 3) (pow (sqrt (hypot x (pow y 1/2))) 3) (pow 1 3) (pow (hypot x (pow y 1/2)) 3) (* (hypot x (pow y 1/2)) (hypot x (pow y 1/2))) (/ 3 2) (sqrt (pow (hypot x (pow y 1/2)) 3)) (sqrt (pow (hypot x (pow y 1/2)) 3)) (pow (hypot x (pow y 1/2)) (/ 3 2)) (pow (hypot x (pow y 1/2)) (/ 3 2)) (expm1 (hypot x (pow y 1/2))) (log1p (hypot x (pow y 1/2))) (+ (* x x) (* (pow y 1/2) (pow y 1/2))) (log (hypot x (pow y 1/2))) (exp (hypot x (pow y 1/2))) (* (cbrt (hypot x (pow y 1/2))) (cbrt (hypot x (pow y 1/2)))) (cbrt (hypot x (pow y 1/2))) (* (* (hypot x (pow y 1/2)) (hypot x (pow y 1/2))) (hypot x (pow y 1/2))) (sqrt (hypot x (pow y 1/2))) (sqrt (hypot x (pow y 1/2))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) x (* -1 x) (- (+ (* +nan.0 (* (pow x 2) y)) (- (+ (* +nan.0 (pow y 3)) (- (* +nan.0 (pow y 2))))))) (pow x 3) (* -1 (pow x 3)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) x (* -1 x) 0.719 * * [simplify]: iteration 0 : 190 enodes (cost 291 ) 0.724 * * [simplify]: iteration 1 : 685 enodes (cost 268 ) 0.743 * * [simplify]: iteration 2 : 4266 enodes (cost 259 ) 0.884 * * [simplify]: iteration 3 : 5001 enodes (cost 259 ) 0.886 * [simplify]: Simplified to: (expm1 (hypot x (pow y 1/2))) (log1p (hypot x (pow y 1/2))) (log (hypot x (pow y 1/2))) (exp (hypot x (pow y 1/2))) (cbrt (* (hypot x (pow y 1/2)) (hypot x (pow y 1/2)))) (cbrt (hypot x (pow y 1/2))) (sqrt (hypot x (pow y 1/2))) (sqrt (hypot x (pow y 1/2))) 1 (hypot x (pow y 1/2)) (cbrt (* (hypot x (pow y 1/2)) (hypot x (pow y 1/2)))) (cbrt (hypot x (pow y 1/2))) (cbrt (* (hypot x (pow y 1/2)) (hypot x (pow y 1/2)))) (cbrt (hypot x (pow y 1/2))) (cbrt (* (hypot x (pow y 1/2)) (hypot x (pow y 1/2)))) (cbrt (hypot x (pow y 1/2))) (sqrt (hypot x (pow y 1/2))) (sqrt (hypot x (pow y 1/2))) 1 (hypot x (pow y 1/2)) (cbrt (hypot x (pow y 1/2))) (cbrt (* (hypot x (pow y 1/2)) (hypot x (pow y 1/2)))) (cbrt (sqrt (pow (hypot x (pow y 1/2)) 3))) (cbrt (sqrt (pow (hypot x (pow y 1/2)) 3))) 1 (hypot x (pow y 1/2)) (sqrt (hypot x (pow y 1/2))) (sqrt (hypot x (pow y 1/2))) (cbrt (* (hypot x (pow y 1/2)) (hypot x (pow y 1/2)))) (cbrt (hypot x (pow y 1/2))) (pow (hypot x (pow y 1/2)) 3) (sqrt (hypot x (pow y 1/2))) (sqrt (hypot x (pow y 1/2))) (expm1 (pow (hypot x (pow y 1/2)) 3)) (log1p (pow (hypot x (pow y 1/2)) 3)) (log (pow (hypot x (pow y 1/2)) 3)) (log (pow (hypot x (pow y 1/2)) 3)) 3 (pow (hypot x (pow y 1/2)) (* (cbrt 3) (cbrt 3))) (pow (hypot x (pow y 1/2)) (sqrt 3)) (hypot x (pow y 1/2)) (pow (hypot x (pow y 1/2)) 2) (hypot x (pow y 1/2)) (pow (hypot x (pow y 1/2)) 3/2) (pow (hypot x (pow y 1/2)) 3/2) 1 (pow (hypot x (pow y 1/2)) 3) (pow (hypot x (pow y 1/2)) 2) (log (pow (hypot x (pow y 1/2)) 3)) (exp (pow (hypot x (pow y 1/2)) 3)) (pow (hypot x (pow y 1/2)) 2) (hypot x (pow y 1/2)) (pow (pow (hypot x (pow y 1/2)) 3) 3) (pow (hypot x (pow y 1/2)) 2) (hypot x (pow y 1/2)) (pow (hypot x (pow y 1/2)) 3/2) (pow (hypot x (pow y 1/2)) 3/2) 1 (pow (hypot x (pow y 1/2)) 3) (pow (hypot x (pow y 1/2)) 2) 3/2 (sqrt (pow (hypot x (pow y 1/2)) 3)) (sqrt (pow (hypot x (pow y 1/2)) 3)) (pow (hypot x (pow y 1/2)) 3/2) (pow (hypot x (pow y 1/2)) 3/2) (expm1 (hypot x (pow y 1/2))) (log1p (hypot x (pow y 1/2))) (+ y (pow x 2)) (log (hypot x (pow y 1/2))) (exp (hypot x (pow y 1/2))) (cbrt (* (hypot x (pow y 1/2)) (hypot x (pow y 1/2)))) (cbrt (hypot x (pow y 1/2))) (pow (hypot x (pow y 1/2)) 3) (sqrt (hypot x (pow y 1/2))) (sqrt (hypot x (pow y 1/2))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow y 2) y))) x (* -1 x) (fma (- (* +nan.0 (pow x 2))) y (* +nan.0 (- (pow y 3) (pow y 2)))) (pow x 3) (* -1 (pow x 3)) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow y 2) y))) x (* -1 x) 0.886 * * * [progress]: adding candidates to table 1.010 * [progress]: [Phase 3 of 3] Extracting. 1.010 * * [regime]: Finding splitpoints for: (# # # #) 1.010 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.010 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.032 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.055 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.079 * * * * [regimes]: Trying to branch on y from (# # # #) 1.102 * * * * [regimes]: Trying to branch on x from (# # # #) 1.129 * * * [regime]: Found split indices: #