9.240 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.018 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.019 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.030 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.033 * [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 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [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 0.035 * [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 y) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.038 * [taylor]: Taking taylor expansion of 1/2 in y 0.038 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.055 * [taylor]: Taking taylor expansion of 1/2 in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of -1/8 in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.061 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 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 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.070 * [taylor]: Taking taylor expansion of -1/2 in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of -1/8 in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.077 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.077 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.078 * [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 y in x 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 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 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of 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 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [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 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * * * [progress]: simplifying candidates 0.097 * [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))) (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) (- (+ (* +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) 0.100 * * [simplify]: iteration 0 : 153 enodes (cost 160 ) 0.104 * * [simplify]: iteration 1 : 518 enodes (cost 146 ) 0.113 * * [simplify]: iteration 2 : 1716 enodes (cost 138 ) 0.147 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.148 * [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))) (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) (* +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) 0.148 * * * [progress]: adding candidates to table 0.236 * * [progress]: iteration 2 / 4 0.236 * * * [progress]: picking best candidate 0.243 * * * * [pick]: Picked # 0.243 * * * [progress]: localizing error 0.247 * * * [progress]: generating rewritten candidates 0.247 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.249 * * * [progress]: generating series expansions 0.249 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.249 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 0.249 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 0.249 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.249 * [taylor]: Rewrote expression to (+ (* x x) y) 0.249 * [taylor]: Taking taylor expansion of (* x x) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.250 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.250 * [taylor]: Rewrote expression to (+ (* x x) y) 0.250 * [taylor]: Taking taylor expansion of (* x x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.251 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.251 * [taylor]: Rewrote expression to (+ (* x x) y) 0.251 * [taylor]: Taking taylor expansion of (* x x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.254 * [taylor]: Taking taylor expansion of 1/2 in y 0.254 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.259 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.259 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.259 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.259 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.261 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.261 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.261 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.264 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.264 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.264 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of 1 in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.270 * [taylor]: Taking taylor expansion of 1/2 in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of -1/8 in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 0.277 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.277 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.278 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.278 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.278 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.278 * [taylor]: Taking taylor expansion of -1 in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.278 * [taylor]: Taking taylor expansion of -1 in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.278 * [taylor]: Taking taylor expansion of -1 in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.279 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.279 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.280 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.283 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.283 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.283 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of 1 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.289 * [taylor]: Taking taylor expansion of -1/2 in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of -1/8 in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.302 * * * [progress]: simplifying candidates 0.302 * [simplify]: Simplifying using # : (expm1 (sqrt (fma x x y))) (log1p (sqrt (fma x x y))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (* (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (fma x x y))) (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y)))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt 1) (sqrt (fma x x y)) (/ 1 2) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma 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)))) 0.306 * * [simplify]: iteration 0 : 76 enodes (cost 64 ) 0.309 * * [simplify]: iteration 1 : 185 enodes (cost 59 ) 0.313 * * [simplify]: iteration 2 : 616 enodes (cost 58 ) 0.328 * * [simplify]: iteration 3 : 2525 enodes (cost 56 ) 0.394 * * [simplify]: iteration 4 : 5001 enodes (cost 56 ) 0.395 * [simplify]: Simplified to: (expm1 (sqrt (fma x x y))) (log1p (sqrt (fma x x y))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (pow (sqrt (fma x x y)) 3) (fabs (cbrt (fma x x y))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) 1 (sqrt (fma x x y)) 1/2 (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (* +nan.0 (fma (- x) x (- (pow y 2) y))) (fma 1/2 (/ y x) x) (- (+ x (* 1/2 (/ y x)))) 0.395 * * * [progress]: adding candidates to table 0.427 * * [progress]: iteration 3 / 4 0.427 * * * [progress]: picking best candidate 0.433 * * * * [pick]: Picked # 0.433 * * * [progress]: localizing error 0.440 * * * [progress]: generating rewritten candidates 0.440 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.441 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.441 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.457 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.464 * * * [progress]: generating series expansions 0.464 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.464 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 0.464 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 0.464 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.464 * [taylor]: Rewrote expression to (+ (* x x) y) 0.464 * [taylor]: Taking taylor expansion of (* x x) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.465 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.465 * [taylor]: Rewrote expression to (+ (* x x) y) 0.465 * [taylor]: Taking taylor expansion of (* x x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.466 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.466 * [taylor]: Rewrote expression to (+ (* x x) y) 0.466 * [taylor]: Taking taylor expansion of (* x x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.469 * [taylor]: Taking taylor expansion of 1/2 in y 0.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.474 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 0.474 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.474 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.474 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.474 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.476 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.476 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.476 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.479 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.480 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.480 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of 1 in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.485 * [taylor]: Taking taylor expansion of 1/2 in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.491 * [taylor]: Taking taylor expansion of -1/8 in y 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.493 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 0.493 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.493 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.493 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.493 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.493 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.493 * [taylor]: Taking taylor expansion of -1 in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.493 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.493 * [taylor]: Taking taylor expansion of -1 in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.493 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.493 * [taylor]: Taking taylor expansion of -1 in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.495 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.495 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.495 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.496 * [taylor]: Taking taylor expansion of -1 in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.498 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.498 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.498 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of 1 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.504 * [taylor]: Taking taylor expansion of -1/2 in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of -1/8 in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.512 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.512 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 0.512 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 0.512 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.512 * [taylor]: Rewrote expression to (+ (* x x) y) 0.512 * [taylor]: Taking taylor expansion of (* x x) in y 0.512 * [taylor]: Taking taylor expansion of x in y 0.512 * [taylor]: Taking taylor expansion of x in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.512 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.512 * [taylor]: Rewrote expression to (+ (* x x) y) 0.512 * [taylor]: Taking taylor expansion of (* x x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.514 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.514 * [taylor]: Rewrote expression to (+ (* x x) y) 0.514 * [taylor]: Taking taylor expansion of (* x x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.517 * [taylor]: Taking taylor expansion of 1/2 in y 0.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.522 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 0.522 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.522 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.522 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.522 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.522 * [taylor]: Taking taylor expansion of x in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.522 * [taylor]: Taking taylor expansion of x in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.524 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.524 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.524 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.527 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.527 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.527 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of 1 in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.533 * [taylor]: Taking taylor expansion of 1/2 in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.544 * [taylor]: Taking taylor expansion of -1/8 in y 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.546 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 0.546 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.546 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.546 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.546 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.546 * [taylor]: Taking taylor expansion of -1 in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.546 * [taylor]: Taking taylor expansion of -1 in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.546 * [taylor]: Taking taylor expansion of -1 in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.548 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.548 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.548 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.548 * [taylor]: Taking taylor expansion of -1 in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.548 * [taylor]: Taking taylor expansion of -1 in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.549 * [taylor]: Taking taylor expansion of -1 in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.551 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.551 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.551 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.551 * [taylor]: Taking taylor expansion of -1 in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.552 * [taylor]: Taking taylor expansion of -1 in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.552 * [taylor]: Taking taylor expansion of -1 in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of 1 in y 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.557 * [taylor]: Taking taylor expansion of -1/2 in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.563 * [taylor]: Taking taylor expansion of -1/8 in y 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.565 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.565 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 0.565 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 0.565 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.565 * [taylor]: Rewrote expression to (+ (* x x) y) 0.565 * [taylor]: Taking taylor expansion of (* x x) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.566 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.566 * [taylor]: Rewrote expression to (+ (* x x) y) 0.566 * [taylor]: Taking taylor expansion of (* x x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.567 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.567 * [taylor]: Rewrote expression to (+ (* x x) y) 0.567 * [taylor]: Taking taylor expansion of (* x x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.570 * [taylor]: Taking taylor expansion of 1/2 in y 0.570 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.575 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 0.575 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.575 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.575 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.575 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.575 * [taylor]: Taking taylor expansion of x in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.575 * [taylor]: Taking taylor expansion of x in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.576 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.577 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.577 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.580 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.580 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.580 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of 1 in y 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.585 * [taylor]: Taking taylor expansion of 1/2 in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.591 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.591 * [taylor]: Taking taylor expansion of -1/8 in y 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.592 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 0.593 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.593 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.593 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.593 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.593 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.593 * [taylor]: Taking taylor expansion of -1 in y 0.593 * [taylor]: Taking taylor expansion of x in y 0.593 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.593 * [taylor]: Taking taylor expansion of -1 in y 0.593 * [taylor]: Taking taylor expansion of x in y 0.593 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.593 * [taylor]: Taking taylor expansion of -1 in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.594 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.595 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.595 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.595 * [taylor]: Taking taylor expansion of -1 in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.595 * [taylor]: Taking taylor expansion of -1 in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.595 * [taylor]: Taking taylor expansion of -1 in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.598 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.598 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.598 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.598 * [taylor]: Taking taylor expansion of -1 in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.598 * [taylor]: Taking taylor expansion of -1 in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.599 * [taylor]: Taking taylor expansion of -1 in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of 1 in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.604 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.604 * [taylor]: Taking taylor expansion of -1/2 in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.610 * [taylor]: Taking taylor expansion of -1/8 in y 0.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.611 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.612 * [approximate]: Taking taylor expansion of (pow (fma x x y) 1/4) in (x y) around 0 0.612 * [taylor]: Taking taylor expansion of (pow (fma x x y) 1/4) in y 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fma x x y)))) in y 0.612 * [taylor]: Taking taylor expansion of (* 1/4 (log (fma x x y))) in y 0.612 * [taylor]: Taking taylor expansion of 1/4 in y 0.612 * [taylor]: Taking taylor expansion of (log (fma x x y)) in y 0.612 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.612 * [taylor]: Rewrote expression to (+ (* x x) y) 0.612 * [taylor]: Taking taylor expansion of (* x x) in y 0.612 * [taylor]: Taking taylor expansion of x in y 0.612 * [taylor]: Taking taylor expansion of x in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (pow (fma x x y) 1/4) in x 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fma x x y)))) in x 0.612 * [taylor]: Taking taylor expansion of (* 1/4 (log (fma x x y))) in x 0.612 * [taylor]: Taking taylor expansion of 1/4 in x 0.612 * [taylor]: Taking taylor expansion of (log (fma x x y)) in x 0.612 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.612 * [taylor]: Rewrote expression to (+ (* x x) y) 0.612 * [taylor]: Taking taylor expansion of (* x x) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.613 * [taylor]: Taking taylor expansion of (pow (fma x x y) 1/4) in x 0.613 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fma x x y)))) in x 0.613 * [taylor]: Taking taylor expansion of (* 1/4 (log (fma x x y))) in x 0.613 * [taylor]: Taking taylor expansion of 1/4 in x 0.613 * [taylor]: Taking taylor expansion of (log (fma x x y)) in x 0.613 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.613 * [taylor]: Rewrote expression to (+ (* x x) y) 0.613 * [taylor]: Taking taylor expansion of (* x x) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of y in x 0.613 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.613 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.613 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.613 * [taylor]: Taking taylor expansion of 1/4 in y 0.613 * [taylor]: Taking taylor expansion of (log y) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.620 * [taylor]: Taking taylor expansion of 1/4 in y 0.620 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.620 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.620 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.620 * [taylor]: Taking taylor expansion of 1/4 in y 0.620 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.620 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 x) (/ 1 x) (/ 1 y)) 1/4) in (x y) around 0 0.642 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 x) (/ 1 x) (/ 1 y)) 1/4) in y 0.642 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fma (/ 1 x) (/ 1 x) (/ 1 y))))) in y 0.642 * [taylor]: Taking taylor expansion of (* 1/4 (log (fma (/ 1 x) (/ 1 x) (/ 1 y)))) in y 0.642 * [taylor]: Taking taylor expansion of 1/4 in y 0.642 * [taylor]: Taking taylor expansion of (log (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.642 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.642 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.642 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 x) (/ 1 x) (/ 1 y)) 1/4) in x 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fma (/ 1 x) (/ 1 x) (/ 1 y))))) in x 0.644 * [taylor]: Taking taylor expansion of (* 1/4 (log (fma (/ 1 x) (/ 1 x) (/ 1 y)))) in x 0.644 * [taylor]: Taking taylor expansion of 1/4 in x 0.644 * [taylor]: Taking taylor expansion of (log (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.644 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.644 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.644 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 x) (/ 1 x) (/ 1 y)) 1/4) in x 0.645 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fma (/ 1 x) (/ 1 x) (/ 1 y))))) in x 0.645 * [taylor]: Taking taylor expansion of (* 1/4 (log (fma (/ 1 x) (/ 1 x) (/ 1 y)))) in x 0.645 * [taylor]: Taking taylor expansion of 1/4 in x 0.645 * [taylor]: Taking taylor expansion of (log (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.646 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.646 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.646 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.646 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.647 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.647 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.647 * [taylor]: Taking taylor expansion of -1/2 in y 0.647 * [taylor]: Taking taylor expansion of (log x) in y 0.647 * [taylor]: Taking taylor expansion of x in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.656 * [taylor]: Taking taylor expansion of 1/4 in y 0.656 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of 0 in y 0.666 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 x) (/ -1 x) (/ -1 y)) 1/4) in (x y) around 0 0.666 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 x) (/ -1 x) (/ -1 y)) 1/4) in y 0.666 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fma (/ -1 x) (/ -1 x) (/ -1 y))))) in y 0.666 * [taylor]: Taking taylor expansion of (* 1/4 (log (fma (/ -1 x) (/ -1 x) (/ -1 y)))) in y 0.666 * [taylor]: Taking taylor expansion of 1/4 in y 0.666 * [taylor]: Taking taylor expansion of (log (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.666 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.666 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.666 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.666 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.666 * [taylor]: Taking taylor expansion of -1 in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.666 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.666 * [taylor]: Taking taylor expansion of -1 in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.666 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.666 * [taylor]: Taking taylor expansion of -1 in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.668 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 x) (/ -1 x) (/ -1 y)) 1/4) in x 0.668 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fma (/ -1 x) (/ -1 x) (/ -1 y))))) in x 0.668 * [taylor]: Taking taylor expansion of (* 1/4 (log (fma (/ -1 x) (/ -1 x) (/ -1 y)))) in x 0.668 * [taylor]: Taking taylor expansion of 1/4 in x 0.668 * [taylor]: Taking taylor expansion of (log (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.668 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.668 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.668 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.668 * [taylor]: Taking taylor expansion of -1 in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.669 * [taylor]: Taking taylor expansion of -1 in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.669 * [taylor]: Taking taylor expansion of -1 in x 0.669 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 x) (/ -1 x) (/ -1 y)) 1/4) in x 0.670 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fma (/ -1 x) (/ -1 x) (/ -1 y))))) in x 0.670 * [taylor]: Taking taylor expansion of (* 1/4 (log (fma (/ -1 x) (/ -1 x) (/ -1 y)))) in x 0.670 * [taylor]: Taking taylor expansion of 1/4 in x 0.670 * [taylor]: Taking taylor expansion of (log (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.670 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.670 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.670 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.670 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.671 * [taylor]: Taking taylor expansion of -1 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 -1 in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.671 * [taylor]: Taking taylor expansion of -1 in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.672 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.672 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.672 * [taylor]: Taking taylor expansion of -1/2 in y 0.672 * [taylor]: Taking taylor expansion of (log x) in y 0.672 * [taylor]: Taking taylor expansion of x in y 0.676 * [taylor]: Taking taylor expansion of 0 in y 0.681 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.681 * [taylor]: Taking taylor expansion of -1/4 in y 0.681 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.681 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.681 * [taylor]: Taking taylor expansion of x in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of 0 in y 0.691 * * * [progress]: simplifying candidates 0.693 * [simplify]: Simplifying using # : (expm1 (sqrt (fma x x y))) (log1p (sqrt (fma x x y))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (* (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (fma x x y))) (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y)))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt 1) (sqrt (fma x x y)) (/ 1 2) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (expm1 (sqrt (fma x x y))) (log1p (sqrt (fma x x y))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (* (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (fma x x y))) (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y)))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt 1) (sqrt (fma x x y)) (/ 1 2) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (expm1 (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))) (log1p (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (fma x x y)) (sqrt (fma x x y))) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))) (* (fma x x y) (fma x x y)) (* (sqrt (fma x x y)) (sqrt (fma x x y))) (* (fma x x y) (fma x x y)) (+ 1 1) (+ (log (sqrt (sqrt (fma x x y)))) (log (sqrt (sqrt (fma x x y))))) (log (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))) (exp (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))) (* (* (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (fma x x y)))) (* (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (fma x x y))))) (* (cbrt (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))) (cbrt (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))))) (cbrt (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))) (* (* (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))) (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))) (sqrt (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))) (* (* (cbrt (sqrt (sqrt (fma x x y)))) (cbrt (sqrt (sqrt (fma x x y))))) (* (cbrt (sqrt (sqrt (fma x x y)))) (cbrt (sqrt (sqrt (fma x x y)))))) (* (cbrt (sqrt (sqrt (fma x x y)))) (cbrt (sqrt (sqrt (fma x x y))))) (* (sqrt (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y))))) (sqrt (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))))) (* (sqrt (cbrt (sqrt (fma x x y)))) (sqrt (cbrt (sqrt (fma x x y))))) (* (sqrt (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y))))) (sqrt (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y)))))) (* (sqrt (sqrt (cbrt (fma x x y)))) (sqrt (sqrt (cbrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* 1 1) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (fma x x y))) (* (cbrt (sqrt (sqrt (fma x x y)))) (cbrt (sqrt (sqrt (fma x x y)))))) (* (sqrt (sqrt (fma x x y))) (sqrt (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))))) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y)))))) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt 1))) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (fma x x y))) (sqrt 1)) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (sqrt (fma x x y))))) (* (sqrt (sqrt (fma x x y))) 1) (* (cbrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (fma x x y)))) (* (sqrt (cbrt (sqrt (fma x x y)))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (cbrt (fma x x y)))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))) (expm1 (sqrt (sqrt (fma x x y)))) (log1p (sqrt (sqrt (fma x x y)))) (log (sqrt (sqrt (fma x x y)))) (exp (sqrt (sqrt (fma x x y)))) (* (cbrt (sqrt (sqrt (fma x x y)))) (cbrt (sqrt (sqrt (fma x x y))))) (cbrt (sqrt (sqrt (fma x x y)))) (* (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (fma x x y)))) (sqrt (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y))))) (sqrt (cbrt (sqrt (fma x x y)))) (sqrt (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y))))) (sqrt (sqrt (cbrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt 1)) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y)))) (sqrt 1) (sqrt (sqrt (fma x x y))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma 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)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 0.699 * * [simplify]: iteration 0 : 214 enodes (cost 576 ) 0.704 * * [simplify]: iteration 1 : 844 enodes (cost 520 ) 0.728 * * [simplify]: iteration 2 : 5001 enodes (cost 506 ) 0.731 * [simplify]: Simplified to: (expm1 (sqrt (fma x x y))) (log1p (sqrt (fma x x y))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (pow (sqrt (fma x x y)) 3) (fabs (cbrt (fma x x y))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) 1 (sqrt (fma x x y)) 1/2 (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (expm1 (sqrt (fma x x y))) (log1p (sqrt (fma x x y))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (pow (sqrt (fma x x y)) 3) (fabs (cbrt (fma x x y))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) 1 (sqrt (fma x x y)) 1/2 (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (expm1 (sqrt (fma x x y))) (log1p (sqrt (fma x x y))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (fma x x y) (sqrt (fma x x y)) (* (fma x x y) (fma x x y)) (fma x x y) (* (fma x x y) (fma x x y)) 2 (log (sqrt (fma x x y))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (pow (sqrt (fma x x y)) 3) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (pow (sqrt (fma x x y)) 3) (fma x x y) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (pow (cbrt (sqrt (sqrt (fma x x y)))) 4) (* (cbrt (sqrt (sqrt (fma x x y)))) (cbrt (sqrt (sqrt (fma x x y))))) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (fabs (cbrt (fma x x y))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) 1 (sqrt (fma x x y)) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) 1 (sqrt (fma x x y)) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) 1 (sqrt (fma x x y)) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) 1 2 1/2 1 1/2 (* (pow (cbrt (sqrt (sqrt (fma x x y)))) 4) (cbrt (sqrt (sqrt (fma x x y))))) (* (fabs (cbrt (sqrt (fma x x y)))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y)))))) (pow (sqrt (sqrt (sqrt (fma x x y)))) 3) (sqrt (sqrt (fma x x y))) (pow (sqrt (sqrt (sqrt (fma x x y)))) 3) (sqrt (sqrt (fma x x y))) (pow (sqrt (sqrt (sqrt (fma x x y)))) 3) (sqrt (sqrt (fma x x y))) (pow (cbrt (sqrt (sqrt (fma x x y)))) 4) (* (sqrt (cbrt (sqrt (fma x x y)))) (sqrt (sqrt (fma x x y)))) (* (sqrt (sqrt (cbrt (fma x x y)))) (sqrt (sqrt (fma x x y)))) (pow (sqrt (sqrt (sqrt (fma x x y)))) 3) (sqrt (fma x x y)) (pow (sqrt (sqrt (sqrt (fma x x y)))) 3) (sqrt (fma x x y)) (pow (sqrt (sqrt (sqrt (fma x x y)))) 3) (sqrt (fma x x y)) (expm1 (sqrt (sqrt (fma x x y)))) (log1p (sqrt (sqrt (fma x x y)))) (log (sqrt (sqrt (fma x x y)))) (exp (sqrt (sqrt (fma x x y)))) (* (cbrt (sqrt (sqrt (fma x x y)))) (cbrt (sqrt (sqrt (fma x x y))))) (cbrt (sqrt (sqrt (fma x x y)))) (pow (sqrt (sqrt (fma x x y))) 3) (fabs (cbrt (sqrt (fma x x y)))) (sqrt (cbrt (sqrt (fma x x y)))) (sqrt (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y))))) (sqrt (sqrt (cbrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y)))) 1 (sqrt (sqrt (fma x x y))) (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y)))) 1 (sqrt (sqrt (fma x x y))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (fma x x y)))) (sqrt (sqrt (sqrt (fma x x y)))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow y 2) y))) (fma 1/2 (/ y x) x) (- (+ x (* 1/2 (/ y x)))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow y 2) y))) (fma 1/2 (/ y x) x) (- (+ x (* 1/2 (/ y x)))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow y 2) y))) (fma 1/2 (/ y x) x) (- (+ x (* 1/2 (/ y x)))) (fma 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4)) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 0.732 * * * [progress]: adding candidates to table 0.968 * * [progress]: iteration 4 / 4 0.968 * * * [progress]: picking best candidate 0.972 * * * * [pick]: Picked # 0.972 * * * [progress]: localizing error 0.980 * * * [progress]: generating rewritten candidates 0.980 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.981 * * * [progress]: generating series expansions 0.981 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.981 * [approximate]: Taking taylor expansion of (hypot x (pow y 1/2)) in (x y) around 0 0.981 * [taylor]: Taking taylor expansion of (hypot x (pow y 1/2)) in y 0.981 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (pow y 1/2) (pow y 1/2)))) 0.981 * [taylor]: Taking taylor expansion of (+ (* x x) (* (pow y 1/2) (pow y 1/2))) in y 0.981 * [taylor]: Taking taylor expansion of (* x x) in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.981 * [taylor]: Taking taylor expansion of (* (pow y 1/2) (pow y 1/2)) in y 0.981 * [taylor]: Taking taylor expansion of (pow y 1/2) in y 0.981 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in y 0.981 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in y 0.981 * [taylor]: Taking taylor expansion of 1/2 in y 0.981 * [taylor]: Taking taylor expansion of (log y) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (pow y 1/2) in y 0.982 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in y 0.982 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in y 0.982 * [taylor]: Taking taylor expansion of 1/2 in y 0.982 * [taylor]: Taking taylor expansion of (log y) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of (hypot x (pow y 1/2)) in x 0.991 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (pow y 1/2) (pow y 1/2)))) 0.991 * [taylor]: Taking taylor expansion of (+ (* x x) (* (pow y 1/2) (pow y 1/2))) in x 0.991 * [taylor]: Taking taylor expansion of (* x x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (* (pow y 1/2) (pow y 1/2)) in x 0.991 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.991 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.991 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.991 * [taylor]: Taking taylor expansion of 1/2 in x 0.991 * [taylor]: Taking taylor expansion of (log y) in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.992 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.992 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.992 * [taylor]: Taking taylor expansion of 1/2 in x 0.992 * [taylor]: Taking taylor expansion of (log y) in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.995 * [taylor]: Taking taylor expansion of (hypot x (pow y 1/2)) in x 0.995 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (pow y 1/2) (pow y 1/2)))) 0.995 * [taylor]: Taking taylor expansion of (+ (* x x) (* (pow y 1/2) (pow y 1/2))) in x 0.995 * [taylor]: Taking taylor expansion of (* x x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (* (pow y 1/2) (pow y 1/2)) in x 0.995 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.995 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.995 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.996 * [taylor]: Taking taylor expansion of 1/2 in x 0.996 * [taylor]: Taking taylor expansion of (log y) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of (pow y 1/2) in x 0.996 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log y))) in x 0.996 * [taylor]: Taking taylor expansion of (* 1/2 (log y)) in x 0.996 * [taylor]: Taking taylor expansion of 1/2 in x 0.996 * [taylor]: Taking taylor expansion of (log y) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.999 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of 0 in y 1.006 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.007 * [taylor]: Taking taylor expansion of 1/2 in y 1.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.007 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.007 * [taylor]: Taking taylor expansion of y in y 1.011 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in (x y) around 0 1.011 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in y 1.011 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)))) 1.011 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2))) in y 1.011 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.011 * [taylor]: Taking taylor expansion of x in y 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.011 * [taylor]: Taking taylor expansion of x in y 1.012 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)) in y 1.012 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in y 1.012 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in y 1.012 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in y 1.012 * [taylor]: Taking taylor expansion of 1/2 in y 1.012 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.012 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in y 1.012 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in y 1.013 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in y 1.013 * [taylor]: Taking taylor expansion of 1/2 in y 1.013 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.013 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.019 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in x 1.019 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)))) 1.019 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2))) in x 1.019 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)) in x 1.019 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 1.019 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 1.019 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 1.019 * [taylor]: Taking taylor expansion of 1/2 in x 1.019 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.019 * [taylor]: Taking taylor expansion of y in x 1.020 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 1.020 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 1.020 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 1.020 * [taylor]: Taking taylor expansion of 1/2 in x 1.020 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.020 * [taylor]: Taking taylor expansion of y in x 1.022 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (pow (/ 1 y) 1/2)) in x 1.022 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)))) 1.022 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2))) in x 1.022 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 1/2) (pow (/ 1 y) 1/2)) in x 1.023 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 1.023 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 1.023 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 1.023 * [taylor]: Taking taylor expansion of 1/2 in x 1.023 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.023 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/2) in x 1.023 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ 1 y)))) in x 1.023 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ 1 y))) in x 1.023 * [taylor]: Taking taylor expansion of 1/2 in x 1.023 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of 1 in y 1.026 * [taylor]: Taking taylor expansion of 0 in y 1.028 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.028 * [taylor]: Taking taylor expansion of 1/2 in y 1.028 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of 0 in y 1.034 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in (x y) around 0 1.034 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in y 1.035 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)))) 1.035 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2))) in y 1.035 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.035 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.035 * [taylor]: Taking taylor expansion of -1 in y 1.035 * [taylor]: Taking taylor expansion of x in y 1.035 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.035 * [taylor]: Taking taylor expansion of -1 in y 1.035 * [taylor]: Taking taylor expansion of x in y 1.035 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)) in y 1.035 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in y 1.035 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in y 1.035 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in y 1.035 * [taylor]: Taking taylor expansion of 1/2 in y 1.035 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in y 1.035 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.035 * [taylor]: Taking taylor expansion of -1 in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in y 1.036 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in y 1.036 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in y 1.037 * [taylor]: Taking taylor expansion of 1/2 in y 1.037 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in y 1.037 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.037 * [taylor]: Taking taylor expansion of -1 in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in x 1.047 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)))) 1.047 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2))) in x 1.047 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.047 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.047 * [taylor]: Taking taylor expansion of -1 in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.048 * [taylor]: Taking taylor expansion of -1 in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 1.048 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 1.048 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 1.048 * [taylor]: Taking taylor expansion of 1/2 in x 1.048 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 1.048 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.048 * [taylor]: Taking taylor expansion of -1 in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 1.048 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 1.048 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 1.048 * [taylor]: Taking taylor expansion of 1/2 in x 1.048 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 1.048 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.048 * [taylor]: Taking taylor expansion of -1 in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (pow (/ -1 y) 1/2)) in x 1.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)))) 1.051 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2))) in x 1.051 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.051 * [taylor]: Taking taylor expansion of -1 in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.051 * [taylor]: Taking taylor expansion of -1 in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 1/2) (pow (/ -1 y) 1/2)) in x 1.052 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 1.052 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 1.052 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 1.052 * [taylor]: Taking taylor expansion of 1/2 in x 1.052 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 1.052 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.052 * [taylor]: Taking taylor expansion of -1 in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 1/2) in x 1.052 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ -1 y)))) in x 1.052 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ -1 y))) in x 1.052 * [taylor]: Taking taylor expansion of 1/2 in x 1.052 * [taylor]: Taking taylor expansion of (log (/ -1 y)) in x 1.052 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.052 * [taylor]: Taking taylor expansion of -1 in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.055 * [taylor]: Taking taylor expansion of 1 in y 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.058 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.058 * [taylor]: Taking taylor expansion of -1/2 in y 1.058 * [taylor]: Taking taylor expansion of y in y 1.064 * [taylor]: Taking taylor expansion of 0 in y 1.064 * * * [progress]: simplifying candidates 1.064 * [simplify]: Simplifying using # : (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) 1.067 * * [simplify]: iteration 0 : 67 enodes (cost 50 ) 1.069 * * [simplify]: iteration 1 : 162 enodes (cost 41 ) 1.073 * * [simplify]: iteration 2 : 598 enodes (cost 40 ) 1.090 * * [simplify]: iteration 3 : 2964 enodes (cost 39 ) 1.188 * * [simplify]: iteration 4 : 5001 enodes (cost 39 ) 1.188 * [simplify]: Simplified to: (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))) (cbrt (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))) (* +nan.0 (fma (* -1 x) x (- (pow y 2) y))) x (* -1 x) 1.188 * * * [progress]: adding candidates to table 1.226 * [progress]: [Phase 3 of 3] Extracting. 1.226 * * [regime]: Finding splitpoints for: (# # # # #) 1.226 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.226 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.260 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.290 * * * [regime]: Found split indices: #