20.302 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.018 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.020 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.036 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.047 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.047 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x 0.048 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.051 * [taylor]: Taking taylor expansion of 1/2 in y 0.051 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.056 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.065 * [taylor]: Taking taylor expansion of 1/2 in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.074 * [taylor]: Taking taylor expansion of -1/8 in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.075 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.085 * [taylor]: Taking taylor expansion of -1/2 in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.091 * [taylor]: Taking taylor expansion of -1/8 in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.092 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.092 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 1 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of 1 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of 1 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * * * [progress]: simplifying candidates 0.112 * [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 1) (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))) (expm1 (+ (* x x) y)) (log1p (+ (* x x) y)) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (* x x) y) (+ (* 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)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.116 * * [simplify]: iteration 0 : 153 enodes (cost 170 ) 0.120 * * [simplify]: iteration 1 : 518 enodes (cost 156 ) 0.131 * * [simplify]: iteration 2 : 1716 enodes (cost 146 ) 0.172 * * [simplify]: iteration 3 : 5002 enodes (cost 142 ) 0.174 * [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)) 1 (hypot x (pow y 1/2)) 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))) (expm1 (+ (* x x) y)) (log1p (+ (* x x) y)) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (fma x x y) 3) (hypot x (pow y 1/2)) (hypot x (pow y 1/2)) (fma (pow y 2) y (pow x 6)) (fma y (- y (pow x 2)) (pow x 4)) (- (pow x 4) (pow y 2)) (- (* x x) y) (fma x x y) (fma x x y) (* +nan.0 (fma (- x) x (fma y y (- y)))) (fma 1/2 (/ y x) x) (- (+ x (* 1/2 (/ y x)))) (fma x x y) (fma x x y) (fma x x y) 0.174 * * * [progress]: adding candidates to table 0.295 * * [progress]: iteration 2 / 4 0.295 * * * [progress]: picking best candidate 0.302 * * * * [pick]: Picked # 0.302 * * * [progress]: localizing error 0.309 * * * [progress]: generating rewritten candidates 0.309 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.313 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.317 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.321 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.325 * * * [progress]: generating series expansions 0.325 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.325 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.325 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.325 * [taylor]: Taking taylor expansion of 1/3 in x 0.325 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.327 * [taylor]: Taking taylor expansion of 1/3 in x 0.327 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.384 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.384 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.384 * [taylor]: Taking taylor expansion of 1/3 in x 0.384 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.385 * [taylor]: Taking taylor expansion of 1/3 in x 0.385 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.441 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.441 * [taylor]: Taking taylor expansion of 1/3 in x 0.441 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.442 * [taylor]: Taking taylor expansion of 1/3 in x 0.442 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.502 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.502 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.502 * [taylor]: Taking taylor expansion of 1/3 in x 0.502 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.503 * [taylor]: Taking taylor expansion of 1/3 in x 0.503 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.559 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.559 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.559 * [taylor]: Taking taylor expansion of 1/3 in x 0.560 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.561 * [taylor]: Taking taylor expansion of 1/3 in x 0.561 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.621 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.621 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.621 * [taylor]: Taking taylor expansion of 1/3 in x 0.621 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.622 * [taylor]: Taking taylor expansion of 1/3 in x 0.622 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.678 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.678 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.678 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.678 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.678 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.678 * [taylor]: Taking taylor expansion of 1/3 in x 0.678 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.686 * [taylor]: Taking taylor expansion of 1/3 in x 0.686 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.739 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.739 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.739 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.740 * [taylor]: Taking taylor expansion of 1/3 in x 0.740 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.741 * [taylor]: Taking taylor expansion of 1/3 in x 0.741 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.741 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.804 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.804 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.804 * [taylor]: Taking taylor expansion of 1/3 in x 0.804 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.806 * [taylor]: Taking taylor expansion of 1/3 in x 0.806 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.868 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.868 * [approximate]: Taking taylor expansion of (sqrt (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y)) in (x y) around 0 0.868 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y)) in y 0.868 * [taylor]: Taking taylor expansion of (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y) in y 0.868 * [taylor]: Rewrote expression to (+ (* (pow (pow x 4) 1/3) (pow (pow x 2) 1/3)) y) 0.868 * [taylor]: Taking taylor expansion of (* (pow (pow x 4) 1/3) (pow (pow x 2) 1/3)) in y 0.868 * [taylor]: Taking taylor expansion of (pow (pow x 4) 1/3) in y 0.868 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 4)))) in y 0.868 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 4))) in y 0.868 * [taylor]: Taking taylor expansion of 1/3 in y 0.868 * [taylor]: Taking taylor expansion of (log (pow x 4)) in y 0.868 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.869 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in y 0.869 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in y 0.869 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in y 0.869 * [taylor]: Taking taylor expansion of 1/3 in y 0.869 * [taylor]: Taking taylor expansion of (log (pow x 2)) in y 0.869 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.869 * [taylor]: Taking taylor expansion of x in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y)) in x 0.873 * [taylor]: Taking taylor expansion of (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y) in x 0.873 * [taylor]: Rewrote expression to (+ (* (pow (pow x 4) 1/3) (pow (pow x 2) 1/3)) y) 0.873 * [taylor]: Taking taylor expansion of (* (pow (pow x 4) 1/3) (pow (pow x 2) 1/3)) in x 0.873 * [taylor]: Taking taylor expansion of (pow (pow x 4) 1/3) in x 0.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 4)))) in x 0.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 4))) in x 0.873 * [taylor]: Taking taylor expansion of 1/3 in x 0.873 * [taylor]: Taking taylor expansion of (log (pow x 4)) in x 0.873 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.874 * [taylor]: Taking taylor expansion of 1/3 in x 0.874 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y)) in x 0.881 * [taylor]: Taking taylor expansion of (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y) in x 0.881 * [taylor]: Rewrote expression to (+ (* (pow (pow x 4) 1/3) (pow (pow x 2) 1/3)) y) 0.881 * [taylor]: Taking taylor expansion of (* (pow (pow x 4) 1/3) (pow (pow x 2) 1/3)) in x 0.881 * [taylor]: Taking taylor expansion of (pow (pow x 4) 1/3) in x 0.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 4)))) in x 0.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 4))) in x 0.881 * [taylor]: Taking taylor expansion of 1/3 in x 0.881 * [taylor]: Taking taylor expansion of (log (pow x 4)) in x 0.881 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.882 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.882 * [taylor]: Taking taylor expansion of 1/3 in x 0.882 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of y in x 0.889 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.889 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.889 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.889 * [taylor]: Taking taylor expansion of x in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.889 * [taylor]: Taking taylor expansion of 0 in y 0.898 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [approximate]: Taking taylor expansion of (sqrt (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in (x y) around 0 0.900 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.900 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.900 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) (/ 1 y)) 0.900 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) in y 0.900 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 0.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 0.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 0.900 * [taylor]: Taking taylor expansion of 1/3 in y 0.900 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.900 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.900 * [taylor]: Taking taylor expansion of x in y 0.900 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.900 * [taylor]: Taking taylor expansion of 1/3 in y 0.900 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.900 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.900 * [taylor]: Taking taylor expansion of x in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in x 0.903 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in x 0.903 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) (/ 1 y)) 0.903 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) in x 0.903 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 0.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 0.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 0.903 * [taylor]: Taking taylor expansion of 1/3 in x 0.903 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.903 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.904 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.904 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.904 * [taylor]: Taking taylor expansion of 1/3 in x 0.904 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in x 0.912 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in x 0.912 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) (/ 1 y)) 0.912 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) in x 0.912 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 0.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 0.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 0.912 * [taylor]: Taking taylor expansion of 1/3 in x 0.912 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.912 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.914 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.914 * [taylor]: Taking taylor expansion of 1/3 in x 0.914 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.915 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of 0 in y 0.939 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.957 * [approximate]: Taking taylor expansion of (sqrt (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ -1 y))) in (x y) around 0 0.957 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ -1 y))) in y 0.957 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ -1 y)) in y 0.957 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) (/ -1 y)) 0.957 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) in y 0.957 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 0.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 0.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 0.957 * [taylor]: Taking taylor expansion of 1/3 in y 0.957 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.957 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.957 * [taylor]: Taking taylor expansion of x in y 0.958 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.958 * [taylor]: Taking taylor expansion of 1/3 in y 0.958 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.958 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.958 * [taylor]: Taking taylor expansion of -1 in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ -1 y))) in x 0.960 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ -1 y)) in x 0.960 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) (/ -1 y)) 0.960 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) in x 0.960 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 0.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 0.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 0.960 * [taylor]: Taking taylor expansion of 1/3 in x 0.960 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.960 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.962 * [taylor]: Taking taylor expansion of 1/3 in x 0.962 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.970 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ -1 y))) in x 0.970 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ -1 y)) in x 0.970 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) (/ -1 y)) 0.970 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) in x 0.970 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 0.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 0.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 0.970 * [taylor]: Taking taylor expansion of 1/3 in x 0.970 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.970 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.971 * [taylor]: Taking taylor expansion of 1/3 in x 0.972 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.972 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.973 * [taylor]: Taking taylor expansion of -1 in x 0.973 * [taylor]: Taking taylor expansion of y in x 0.980 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.980 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of 0 in y 0.991 * [taylor]: Taking taylor expansion of 0 in y 1.006 * [taylor]: Taking taylor expansion of 0 in y 1.009 * * * [progress]: simplifying candidates 1.011 * [simplify]: Simplifying using # : (expm1 (cbrt (* x x))) (log1p (cbrt (* x x))) (log (cbrt (* x x))) (exp (cbrt (* x x))) (cbrt x) (cbrt x) (cbrt (* (cbrt (* x x)) (cbrt (* x x)))) (cbrt (cbrt (* x x))) (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x))) (cbrt 1) (cbrt (* x x)) (cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (sqrt x) (sqrt x))) (cbrt (* (sqrt x) (sqrt x))) (cbrt (* 1 1)) (cbrt (* x x)) (cbrt (* (sqrt x) (sqrt x))) (cbrt (* (sqrt x) (sqrt x))) (cbrt (* x (* (cbrt x) (cbrt x)))) (cbrt (cbrt x)) (cbrt (* x (sqrt x))) (cbrt (sqrt x)) (cbrt (* x 1)) (cbrt x) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) x)) (cbrt (sqrt x)) (cbrt (* (sqrt x) x)) (cbrt 1) (cbrt (* x x)) (cbrt x) (cbrt x) (* (cbrt (cbrt (* x x))) (cbrt (cbrt (* x x)))) (cbrt (cbrt (* x x))) (* (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x))) (sqrt (cbrt (* x x))) (sqrt (cbrt (* x x))) (expm1 (cbrt (* x x))) (log1p (cbrt (* x x))) (log (cbrt (* x x))) (exp (cbrt (* x x))) (cbrt x) (cbrt x) (cbrt (* (cbrt (* x x)) (cbrt (* x x)))) (cbrt (cbrt (* x x))) (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x))) (cbrt 1) (cbrt (* x x)) (cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (sqrt x) (sqrt x))) (cbrt (* (sqrt x) (sqrt x))) (cbrt (* 1 1)) (cbrt (* x x)) (cbrt (* (sqrt x) (sqrt x))) (cbrt (* (sqrt x) (sqrt x))) (cbrt (* x (* (cbrt x) (cbrt x)))) (cbrt (cbrt x)) (cbrt (* x (sqrt x))) (cbrt (sqrt x)) (cbrt (* x 1)) (cbrt x) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) x)) (cbrt (sqrt x)) (cbrt (* (sqrt x) x)) (cbrt 1) (cbrt (* x x)) (cbrt x) (cbrt x) (* (cbrt (cbrt (* x x))) (cbrt (cbrt (* x x)))) (cbrt (cbrt (* x x))) (* (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x))) (sqrt (cbrt (* x x))) (sqrt (cbrt (* x x))) (expm1 (cbrt (* x x))) (log1p (cbrt (* x x))) (log (cbrt (* x x))) (exp (cbrt (* x x))) (cbrt x) (cbrt x) (cbrt (* (cbrt (* x x)) (cbrt (* x x)))) (cbrt (cbrt (* x x))) (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x))) (cbrt 1) (cbrt (* x x)) (cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (sqrt x) (sqrt x))) (cbrt (* (sqrt x) (sqrt x))) (cbrt (* 1 1)) (cbrt (* x x)) (cbrt (* (sqrt x) (sqrt x))) (cbrt (* (sqrt x) (sqrt x))) (cbrt (* x (* (cbrt x) (cbrt x)))) (cbrt (cbrt x)) (cbrt (* x (sqrt x))) (cbrt (sqrt x)) (cbrt (* x 1)) (cbrt x) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) x)) (cbrt (sqrt x)) (cbrt (* (sqrt x) x)) (cbrt 1) (cbrt (* x x)) (cbrt x) (cbrt x) (* (cbrt (cbrt (* x x))) (cbrt (cbrt (* x x)))) (cbrt (cbrt (* x x))) (* (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x))) (sqrt (cbrt (* x x))) (sqrt (cbrt (* x x))) (expm1 (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (log1p (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (log (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (exp (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (* (cbrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (cbrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y)))) (cbrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (* (* (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y)) (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (sqrt (* (cbrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y)) (cbrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y)))) (sqrt (cbrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (sqrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (sqrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (sqrt 1) (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y)) (/ 1 2) (sqrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (sqrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (pow x 2/3) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (pow x 2/3) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (pow x 2/3) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (- (+ (* 1/2 (/ y x)) x) (* 1/8 (/ (pow y 2) (pow x 3)))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ (pow x 2) (pow y 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- (+ (* +nan.0 (/ (pow x 2) y)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ (pow x 2) (pow y 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- (+ (* +nan.0 (/ (pow x 2) y)) (- +nan.0))))))))) 1.022 * * [simplify]: iteration 0 : 177 enodes (cost 542 ) 1.027 * * [simplify]: iteration 1 : 585 enodes (cost 507 ) 1.044 * * [simplify]: iteration 2 : 3118 enodes (cost 459 ) 1.119 * * [simplify]: iteration 3 : 5002 enodes (cost 452 ) 1.122 * [simplify]: Simplified to: (expm1 (cbrt (* x x))) (log1p (cbrt (* x x))) (log (cbrt (* x x))) (exp (cbrt (* x x))) (cbrt x) (cbrt x) (cbrt (* (cbrt (* x x)) (cbrt (* x x)))) (cbrt (cbrt (* x x))) (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x))) 1 (cbrt (* x x)) (cbrt (* (cbrt x) x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt x) (cbrt x) 1 (cbrt (* x x)) (cbrt x) (cbrt x) (cbrt (* x (* (cbrt x) (cbrt x)))) (cbrt (cbrt x)) (sqrt x) (cbrt (sqrt x)) (cbrt x) (cbrt x) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) x)) (cbrt (sqrt x)) (sqrt x) 1 (cbrt (* x x)) (cbrt x) (cbrt x) (* (cbrt (cbrt (* x x))) (cbrt (cbrt (* x x)))) (cbrt (cbrt (* x x))) (pow x 2) (sqrt (cbrt (* x x))) (sqrt (cbrt (* x x))) (expm1 (cbrt (* x x))) (log1p (cbrt (* x x))) (log (cbrt (* x x))) (exp (cbrt (* x x))) (cbrt x) (cbrt x) (cbrt (* (cbrt (* x x)) (cbrt (* x x)))) (cbrt (cbrt (* x x))) (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x))) 1 (cbrt (* x x)) (cbrt (* (cbrt x) x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt x) (cbrt x) 1 (cbrt (* x x)) (cbrt x) (cbrt x) (cbrt (* x (* (cbrt x) (cbrt x)))) (cbrt (cbrt x)) (sqrt x) (cbrt (sqrt x)) (cbrt x) (cbrt x) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) x)) (cbrt (sqrt x)) (sqrt x) 1 (cbrt (* x x)) (cbrt x) (cbrt x) (* (cbrt (cbrt (* x x))) (cbrt (cbrt (* x x)))) (cbrt (cbrt (* x x))) (pow x 2) (sqrt (cbrt (* x x))) (sqrt (cbrt (* x x))) (expm1 (cbrt (* x x))) (log1p (cbrt (* x x))) (log (cbrt (* x x))) (exp (cbrt (* x x))) (cbrt x) (cbrt x) (cbrt (* (cbrt (* x x)) (cbrt (* x x)))) (cbrt (cbrt (* x x))) (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x))) 1 (cbrt (* x x)) (cbrt (* (cbrt x) x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt x) (cbrt x) 1 (cbrt (* x x)) (cbrt x) (cbrt x) (cbrt (* x (* (cbrt x) (cbrt x)))) (cbrt (cbrt x)) (sqrt x) (cbrt (sqrt x)) (cbrt x) (cbrt x) (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) x)) (cbrt (sqrt x)) (sqrt x) 1 (cbrt (* x x)) (cbrt x) (cbrt x) (* (cbrt (cbrt (* x x))) (cbrt (cbrt (* x x)))) (cbrt (cbrt (* x x))) (pow x 2) (sqrt (cbrt (* x x))) (sqrt (cbrt (* x x))) (expm1 (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (log1p (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (log (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (exp (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (* (cbrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (cbrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y)))) (cbrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (pow (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y)) 3) (fabs (cbrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (sqrt (cbrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (sqrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (sqrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) 1 (hypot x (pow y 1/2)) 1/2 (sqrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (sqrt (sqrt (fma (* (cbrt (* x x)) (cbrt (* x x))) (cbrt (* x x)) y))) (pow x 2/3) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (pow x 2/3) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (pow x 2/3) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (fma 1/2 (/ y x) (- x (* 1/8 (/ (pow y 2) (pow x 3))))) (- (+ (* (/ +nan.0 y) (- (/ (pow x 2) y) (/ 1 y))) (fma +nan.0 (/ (pow x 2) y) (- +nan.0))) (/ +nan.0 y)) (- (+ (* (/ +nan.0 y) (- (/ (pow x 2) y) (/ 1 y))) (fma +nan.0 (/ (pow x 2) y) (- +nan.0))) (/ +nan.0 y)) 1.123 * * * [progress]: adding candidates to table 1.376 * * [progress]: iteration 3 / 4 1.376 * * * [progress]: picking best candidate 1.379 * * * * [pick]: Picked # 1.379 * * * [progress]: localizing error 1.383 * * * [progress]: generating rewritten candidates 1.383 * * * [progress]: generating series expansions 1.383 * * * [progress]: simplifying candidates 1.383 * [simplify]: Simplifying using # : 1.386 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.386 * [simplify]: Simplified to: 1.386 * * * [progress]: adding candidates to table 1.387 * * [progress]: iteration 4 / 4 1.387 * * * [progress]: picking best candidate 1.388 * * * * [pick]: Picked # 1.388 * * * [progress]: localizing error 1.394 * * * [progress]: generating rewritten candidates 1.394 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 1.404 * * * [progress]: generating series expansions 1.404 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 1.404 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 1.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.404 * [taylor]: Taking taylor expansion of 1/2 in x 1.404 * [taylor]: Taking taylor expansion of (/ y x) in x 1.404 * [taylor]: Taking taylor expansion of y in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.405 * [taylor]: Taking taylor expansion of 1/2 in y 1.405 * [taylor]: Taking taylor expansion of (/ y x) in y 1.405 * [taylor]: Taking taylor expansion of y in y 1.405 * [taylor]: Taking taylor expansion of x in y 1.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.405 * [taylor]: Taking taylor expansion of 1/2 in y 1.405 * [taylor]: Taking taylor expansion of (/ y x) in y 1.405 * [taylor]: Taking taylor expansion of y in y 1.405 * [taylor]: Taking taylor expansion of x in y 1.405 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 1.405 * [taylor]: Taking taylor expansion of 1/2 in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.406 * [taylor]: Taking taylor expansion of 0 in x 1.407 * [taylor]: Taking taylor expansion of 0 in x 1.409 * [taylor]: Taking taylor expansion of 0 in x 1.409 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.409 * [taylor]: Taking taylor expansion of 1/2 in x 1.409 * [taylor]: Taking taylor expansion of (/ x y) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of y in x 1.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.410 * [taylor]: Taking taylor expansion of 1/2 in y 1.410 * [taylor]: Taking taylor expansion of (/ x y) in y 1.410 * [taylor]: Taking taylor expansion of x in y 1.410 * [taylor]: Taking taylor expansion of y in y 1.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.410 * [taylor]: Taking taylor expansion of 1/2 in y 1.410 * [taylor]: Taking taylor expansion of (/ x y) in y 1.410 * [taylor]: Taking taylor expansion of x in y 1.410 * [taylor]: Taking taylor expansion of y in y 1.410 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.410 * [taylor]: Taking taylor expansion of 1/2 in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of 0 in x 1.413 * [taylor]: Taking taylor expansion of 0 in x 1.416 * [taylor]: Taking taylor expansion of 0 in x 1.416 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.416 * [taylor]: Taking taylor expansion of 1/2 in x 1.416 * [taylor]: Taking taylor expansion of (/ x y) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.416 * [taylor]: Taking taylor expansion of 1/2 in y 1.416 * [taylor]: Taking taylor expansion of (/ x y) in y 1.416 * [taylor]: Taking taylor expansion of x in y 1.416 * [taylor]: Taking taylor expansion of y in y 1.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.416 * [taylor]: Taking taylor expansion of 1/2 in y 1.416 * [taylor]: Taking taylor expansion of (/ x y) in y 1.416 * [taylor]: Taking taylor expansion of x in y 1.416 * [taylor]: Taking taylor expansion of y in y 1.416 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.416 * [taylor]: Taking taylor expansion of 1/2 in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of 0 in x 1.419 * [taylor]: Taking taylor expansion of 0 in x 1.422 * [taylor]: Taking taylor expansion of 0 in x 1.422 * * * [progress]: simplifying candidates 1.423 * [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)) (* 1/2 1) (* 1/2 (/ y (* (cbrt x) (cbrt x)))) (* 1/2 (/ y (sqrt x))) (* 1/2 (/ y 1)) (* 1/2 (* (cbrt y) (cbrt y))) (* 1/2 (sqrt y)) (* 1/2 1) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 1.431 * * [simplify]: iteration 0 : 188 enodes (cost 151 ) 1.437 * * [simplify]: iteration 1 : 871 enodes (cost 141 ) 1.460 * * [simplify]: iteration 2 : 3500 enodes (cost 141 ) 1.518 * * [simplify]: iteration 3 : 5001 enodes (cost 141 ) 1.519 * [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))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ 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))) (* 1/2 (* (cbrt y) (cbrt y))) (* 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 (* y 1/2) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* y 1/2) (* 1/2 (- y)) 1/2 (* 1/2 (/ y (* (cbrt x) (cbrt x)))) (* 1/2 (/ y (sqrt x))) (* y 1/2) (* 1/2 (* (cbrt y) (cbrt y))) (* (sqrt y) 1/2) 1/2 (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 1.520 * * * [progress]: adding candidates to table 1.593 * [progress]: [Phase 3 of 3] Extracting. 1.593 * * [regime]: Finding splitpoints for: (# # #) 1.593 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x) 1.593 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.609 * * * * [regimes]: Trying to branch on y from (# # #) 1.642 * * * * [regimes]: Trying to branch on x from (# # #) 1.667 * * * [regime]: Found split indices: #