22.806 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.019 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.050 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.055 * [taylor]: Taking taylor expansion of 1/2 in y 0.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.060 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.069 * [taylor]: Taking taylor expansion of 1/2 in y 0.069 * [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 0.076 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.076 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.076 * [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 0.078 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.081 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.081 * [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 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.086 * [taylor]: Taking taylor expansion of -1/2 in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.088 * [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 0.093 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.093 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.093 * [taylor]: Taking taylor expansion of x in y 0.093 * [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 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [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 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.097 * [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 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.103 * [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 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of 1 in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.117 * * * [progress]: simplifying candidates 0.117 * [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) 0.122 * * [simplify]: iteration 0 : 149 enodes (cost 170 ) 0.126 * * [simplify]: iteration 1 : 495 enodes (cost 157 ) 0.137 * * [simplify]: iteration 2 : 1652 enodes (cost 147 ) 0.178 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.180 * [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 x (pow x 5) (pow y 3)) (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) 0.180 * * * [progress]: adding candidates to table 0.271 * * [progress]: iteration 2 / 4 0.271 * * * [progress]: picking best candidate 0.278 * * * * [pick]: Picked # 0.278 * * * [progress]: localizing error 0.283 * * * [progress]: generating rewritten candidates 0.283 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.288 * * * [progress]: generating series expansions 0.288 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.289 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 0.289 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.289 * [taylor]: Rewrote expression to (+ (* x x) y) 0.289 * [taylor]: Taking taylor expansion of (* x x) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.290 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.290 * [taylor]: Rewrote expression to (+ (* x x) y) 0.290 * [taylor]: Taking taylor expansion of (* x x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.291 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.291 * [taylor]: Rewrote expression to (+ (* x x) y) 0.291 * [taylor]: Taking taylor expansion of (* x x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.295 * [taylor]: Taking taylor expansion of 1/2 in y 0.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.300 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.300 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.300 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.300 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.302 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.302 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.302 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.305 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.305 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.305 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of 1 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.311 * [taylor]: Taking taylor expansion of 1/2 in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.317 * [taylor]: Taking taylor expansion of -1/8 in y 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.319 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.319 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.319 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.319 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.319 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.319 * [taylor]: Taking taylor expansion of -1 in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.319 * [taylor]: Taking taylor expansion of -1 in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.319 * [taylor]: Taking taylor expansion of -1 in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.321 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.321 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.321 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.321 * [taylor]: Taking taylor expansion of -1 in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.321 * [taylor]: Taking taylor expansion of -1 in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.322 * [taylor]: Taking taylor expansion of -1 in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.325 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.325 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.325 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.326 * [taylor]: Taking taylor expansion of -1 in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of 1 in y 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.331 * [taylor]: Taking taylor expansion of -1/2 in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of -1/8 in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.343 * * * [progress]: simplifying candidates 0.344 * [simplify]: Simplifying using # : (expm1 (sqrt (* 1 (fma x x y)))) (log1p (sqrt (* 1 (fma x x y)))) (log (sqrt (* 1 (fma x x y)))) (exp (sqrt (* 1 (fma x x y)))) (* (cbrt (sqrt (* 1 (fma x x y)))) (cbrt (sqrt (* 1 (fma x x y))))) (cbrt (sqrt (* 1 (fma x x y)))) (* (* (sqrt (* 1 (fma x x y))) (sqrt (* 1 (fma x x y)))) (sqrt (* 1 (fma x x y)))) (sqrt 1) (sqrt (fma x x y)) (sqrt (* (cbrt (* 1 (fma x x y))) (cbrt (* 1 (fma x x y))))) (sqrt (cbrt (* 1 (fma x x y)))) (sqrt (sqrt (* 1 (fma x x y)))) (sqrt (sqrt (* 1 (fma x x y)))) (sqrt 1) (sqrt (* 1 (fma x x y))) (sqrt (* (sqrt 1) (sqrt (fma x x y)))) (sqrt (* (sqrt 1) (sqrt (fma x x y)))) (sqrt (* 1 (sqrt (fma x x y)))) (sqrt (* 1 (sqrt (fma x x y)))) (sqrt (* 1 (* (cbrt (fma x x y)) (cbrt (fma x x y))))) (sqrt (cbrt (fma x x y))) (sqrt (* 1 (sqrt (fma x x y)))) (sqrt (sqrt (fma x x y))) (sqrt (* 1 1)) (sqrt (fma x x y)) (sqrt (* (cbrt 1) (cbrt 1))) (sqrt (* (cbrt 1) (fma x x y))) (sqrt (sqrt 1)) (sqrt (* (sqrt 1) (fma x x y))) (sqrt 1) (sqrt (* 1 (fma x x y))) (sqrt (fma x x y)) (sqrt 1) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 1 (fma x x y)))) (sqrt (sqrt (* 1 (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)))) 0.348 * * [simplify]: iteration 0 : 107 enodes (cost 113 ) 0.351 * * [simplify]: iteration 1 : 297 enodes (cost 103 ) 0.359 * * [simplify]: iteration 2 : 1155 enodes (cost 98 ) 0.389 * * [simplify]: iteration 3 : 4924 enodes (cost 97 ) 0.533 * * [simplify]: iteration 4 : 5001 enodes (cost 97 ) 0.534 * [simplify]: Simplified to: (expm1 (sqrt (* 1 (fma x x y)))) (log1p (sqrt (* 1 (fma x x y)))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (* (cbrt (sqrt (* 1 (fma x x y)))) (cbrt (sqrt (* 1 (fma x x y))))) (cbrt (sqrt (* 1 (fma x x y)))) (pow (sqrt (fma x x y)) 3) 1 (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))) 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))) (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 (sqrt (fma x x y)) 1 (sqrt (fma x x y)) 1 (sqrt (fma x x y)) (sqrt (fma x x y)) 1 1/2 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)))) 0.535 * * * [progress]: adding candidates to table 0.566 * * [progress]: iteration 3 / 4 0.567 * * * [progress]: picking best candidate 0.571 * * * * [pick]: Picked # 0.571 * * * [progress]: localizing error 0.579 * * * [progress]: generating rewritten candidates 0.579 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.587 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.591 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.595 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.598 * * * [progress]: generating series expansions 0.599 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.599 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.599 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.599 * [taylor]: Taking taylor expansion of 1/3 in x 0.599 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.600 * [taylor]: Taking taylor expansion of 1/3 in x 0.600 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.654 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.654 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.654 * [taylor]: Taking taylor expansion of 1/3 in x 0.654 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.655 * [taylor]: Taking taylor expansion of 1/3 in x 0.655 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.718 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.718 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.718 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.718 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.718 * [taylor]: Taking taylor expansion of 1/3 in x 0.718 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.719 * [taylor]: Taking taylor expansion of 1/3 in x 0.719 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.719 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.781 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.781 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.781 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.781 * [taylor]: Taking taylor expansion of 1/3 in x 0.781 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.781 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.782 * [taylor]: Taking taylor expansion of 1/3 in x 0.782 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.841 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.841 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.841 * [taylor]: Taking taylor expansion of 1/3 in x 0.841 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.843 * [taylor]: Taking taylor expansion of 1/3 in x 0.843 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.906 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.906 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.906 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.906 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.906 * [taylor]: Taking taylor expansion of 1/3 in x 0.906 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.908 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.908 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.908 * [taylor]: Taking taylor expansion of 1/3 in x 0.908 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.970 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.970 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.970 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.970 * [taylor]: Taking taylor expansion of 1/3 in x 0.970 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.971 * [taylor]: Taking taylor expansion of 1/3 in x 0.971 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.971 * [taylor]: Taking taylor expansion of x in x 1.025 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.025 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.025 * [taylor]: Taking taylor expansion of 1/3 in x 1.025 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.027 * [taylor]: Taking taylor expansion of 1/3 in x 1.027 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.090 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.090 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.090 * [taylor]: Taking taylor expansion of 1/3 in x 1.090 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.091 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.091 * [taylor]: Taking taylor expansion of 1/3 in x 1.091 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.153 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.153 * [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 1.153 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y)) in y 1.154 * [taylor]: Taking taylor expansion of (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y) in y 1.154 * [taylor]: Rewrote expression to (+ (* (pow (pow x 4) 1/3) (pow (pow x 2) 1/3)) y) 1.154 * [taylor]: Taking taylor expansion of (* (pow (pow x 4) 1/3) (pow (pow x 2) 1/3)) in y 1.154 * [taylor]: Taking taylor expansion of (pow (pow x 4) 1/3) in y 1.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 4)))) in y 1.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 4))) in y 1.154 * [taylor]: Taking taylor expansion of 1/3 in y 1.154 * [taylor]: Taking taylor expansion of (log (pow x 4)) in y 1.154 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.154 * [taylor]: Taking taylor expansion of x in y 1.154 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in y 1.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in y 1.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in y 1.154 * [taylor]: Taking taylor expansion of 1/3 in y 1.154 * [taylor]: Taking taylor expansion of (log (pow x 2)) in y 1.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.154 * [taylor]: Taking taylor expansion of x in y 1.154 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y)) in x 1.158 * [taylor]: Taking taylor expansion of (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y) in x 1.158 * [taylor]: Rewrote expression to (+ (* (pow (pow x 4) 1/3) (pow (pow x 2) 1/3)) y) 1.158 * [taylor]: Taking taylor expansion of (* (pow (pow x 4) 1/3) (pow (pow x 2) 1/3)) in x 1.159 * [taylor]: Taking taylor expansion of (pow (pow x 4) 1/3) in x 1.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 4)))) in x 1.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 4))) in x 1.159 * [taylor]: Taking taylor expansion of 1/3 in x 1.159 * [taylor]: Taking taylor expansion of (log (pow x 4)) in x 1.159 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.160 * [taylor]: Taking taylor expansion of 1/3 in x 1.160 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of y in x 1.166 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y)) in x 1.166 * [taylor]: Taking taylor expansion of (fma (pow (pow x 4) 1/3) (pow (pow x 2) 1/3) y) in x 1.166 * [taylor]: Rewrote expression to (+ (* (pow (pow x 4) 1/3) (pow (pow x 2) 1/3)) y) 1.166 * [taylor]: Taking taylor expansion of (* (pow (pow x 4) 1/3) (pow (pow x 2) 1/3)) in x 1.166 * [taylor]: Taking taylor expansion of (pow (pow x 4) 1/3) in x 1.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 4)))) in x 1.166 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 4))) in x 1.167 * [taylor]: Taking taylor expansion of 1/3 in x 1.167 * [taylor]: Taking taylor expansion of (log (pow x 4)) in x 1.167 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.168 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.168 * [taylor]: Taking taylor expansion of 1/3 in x 1.168 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of y in x 1.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 1.174 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.174 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.174 * [taylor]: Taking taylor expansion of x in y 1.174 * [taylor]: Taking taylor expansion of y in y 1.175 * [taylor]: Taking taylor expansion of 0 in y 1.189 * [taylor]: Taking taylor expansion of 0 in y 1.191 * [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 1.191 * [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 1.191 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 1.191 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) (/ 1 y)) 1.191 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) in y 1.191 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 1.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 1.191 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 1.191 * [taylor]: Taking taylor expansion of 1/3 in y 1.191 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.191 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.191 * [taylor]: Taking taylor expansion of x in y 1.192 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.192 * [taylor]: Taking taylor expansion of 1/3 in y 1.192 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.192 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.192 * [taylor]: Taking taylor expansion of x in y 1.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.192 * [taylor]: Taking taylor expansion of y in y 1.194 * [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 1.194 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in x 1.194 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) (/ 1 y)) 1.194 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) in x 1.194 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 1.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 1.194 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 1.194 * [taylor]: Taking taylor expansion of 1/3 in x 1.194 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.194 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.196 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.196 * [taylor]: Taking taylor expansion of 1/3 in x 1.196 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.197 * [taylor]: Taking taylor expansion of y in x 1.203 * [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 1.203 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in x 1.204 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) (/ 1 y)) 1.204 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) in x 1.204 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 1.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 1.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 1.204 * [taylor]: Taking taylor expansion of 1/3 in x 1.204 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.204 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.205 * [taylor]: Taking taylor expansion of 1/3 in x 1.205 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.206 * [taylor]: Taking taylor expansion of y in x 1.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.214 * [taylor]: Taking taylor expansion of x in y 1.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.216 * [taylor]: Taking taylor expansion of 0 in y 1.225 * [taylor]: Taking taylor expansion of 0 in y 1.240 * [taylor]: Taking taylor expansion of 0 in y 1.244 * [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 1.244 * [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 1.244 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ -1 y)) in y 1.244 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) (/ -1 y)) 1.244 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) in y 1.244 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 1.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 1.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 1.244 * [taylor]: Taking taylor expansion of 1/3 in y 1.244 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.244 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.244 * [taylor]: Taking taylor expansion of x in y 1.245 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.245 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.245 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.245 * [taylor]: Taking taylor expansion of 1/3 in y 1.245 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.245 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.245 * [taylor]: Taking taylor expansion of x in y 1.245 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.245 * [taylor]: Taking taylor expansion of -1 in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.247 * [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 1.247 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ -1 y)) in x 1.247 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) (/ -1 y)) 1.247 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) in x 1.247 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 1.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 1.247 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 1.247 * [taylor]: Taking taylor expansion of 1/3 in x 1.247 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.247 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.248 * [taylor]: Taking taylor expansion of 1/3 in x 1.248 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.250 * [taylor]: Taking taylor expansion of -1 in x 1.250 * [taylor]: Taking taylor expansion of y in x 1.256 * [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 1.256 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3) (/ -1 y)) in x 1.256 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) (/ -1 y)) 1.257 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (pow (/ 1 (pow x 2)) 1/3)) in x 1.257 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 1.257 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 1.257 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 1.257 * [taylor]: Taking taylor expansion of 1/3 in x 1.257 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.257 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.258 * [taylor]: Taking taylor expansion of 1/3 in x 1.258 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.259 * [taylor]: Taking taylor expansion of -1 in x 1.260 * [taylor]: Taking taylor expansion of y in x 1.266 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.266 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.266 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.266 * [taylor]: Taking taylor expansion of x in y 1.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.266 * [taylor]: Taking taylor expansion of y in y 1.273 * [taylor]: Taking taylor expansion of 0 in y 1.283 * [taylor]: Taking taylor expansion of 0 in y 1.298 * [taylor]: Taking taylor expansion of 0 in y 1.302 * * * [progress]: simplifying candidates 1.303 * [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))))))))) 1.310 * * [simplify]: iteration 0 : 176 enodes (cost 542 ) 1.315 * * [simplify]: iteration 1 : 567 enodes (cost 507 ) 1.332 * * [simplify]: iteration 2 : 2959 enodes (cost 459 ) 1.410 * * [simplify]: iteration 3 : 5001 enodes (cost 452 ) 1.414 * [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)) 1.415 * * * [progress]: adding candidates to table 1.610 * * [progress]: iteration 4 / 4 1.610 * * * [progress]: picking best candidate 1.613 * * * * [pick]: Picked # 1.613 * * * [progress]: localizing error 1.617 * * * [progress]: generating rewritten candidates 1.617 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.618 * * * [progress]: generating series expansions 1.618 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.619 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0 1.619 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x 1.619 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 1.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.619 * [taylor]: Taking taylor expansion of 1/2 in x 1.619 * [taylor]: Taking taylor expansion of (/ y x) in x 1.619 * [taylor]: Taking taylor expansion of y in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 1.619 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 1.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.619 * [taylor]: Taking taylor expansion of 1/2 in y 1.619 * [taylor]: Taking taylor expansion of (/ y x) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.619 * [taylor]: Taking taylor expansion of x in y 1.619 * [taylor]: Taking taylor expansion of x in y 1.619 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 1.619 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 1.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.619 * [taylor]: Taking taylor expansion of 1/2 in y 1.619 * [taylor]: Taking taylor expansion of (/ y x) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.619 * [taylor]: Taking taylor expansion of x in y 1.619 * [taylor]: Taking taylor expansion of x in y 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 1.619 * [taylor]: Taking taylor expansion of 1/2 in x 1.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.620 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of 0 in x 1.623 * [taylor]: Taking taylor expansion of 0 in x 1.625 * [taylor]: Taking taylor expansion of 0 in x 1.627 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0 1.627 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x 1.627 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 1.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.627 * [taylor]: Taking taylor expansion of 1/2 in x 1.627 * [taylor]: Taking taylor expansion of (/ x y) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of y in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 1.628 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 1.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.628 * [taylor]: Taking taylor expansion of 1/2 in y 1.628 * [taylor]: Taking taylor expansion of (/ x y) in y 1.628 * [taylor]: Taking taylor expansion of x in y 1.628 * [taylor]: Taking taylor expansion of y in y 1.628 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.628 * [taylor]: Taking taylor expansion of x in y 1.628 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 1.628 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 1.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.628 * [taylor]: Taking taylor expansion of 1/2 in y 1.628 * [taylor]: Taking taylor expansion of (/ x y) in y 1.628 * [taylor]: Taking taylor expansion of x in y 1.628 * [taylor]: Taking taylor expansion of y in y 1.628 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.628 * [taylor]: Taking taylor expansion of x in y 1.628 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.628 * [taylor]: Taking taylor expansion of 1/2 in x 1.628 * [taylor]: Taking taylor expansion of x in x 1.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.632 * [taylor]: Taking taylor expansion of 0 in x 1.636 * [taylor]: Taking taylor expansion of 0 in x 1.640 * [taylor]: Taking taylor expansion of 0 in x 1.641 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0 1.641 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x 1.641 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 1.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.641 * [taylor]: Taking taylor expansion of 1/2 in x 1.641 * [taylor]: Taking taylor expansion of (/ x y) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of y in x 1.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.641 * [taylor]: Taking taylor expansion of -1 in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.642 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 1.642 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 1.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.642 * [taylor]: Taking taylor expansion of 1/2 in y 1.642 * [taylor]: Taking taylor expansion of (/ x y) in y 1.642 * [taylor]: Taking taylor expansion of x in y 1.642 * [taylor]: Taking taylor expansion of y in y 1.642 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.642 * [taylor]: Taking taylor expansion of -1 in y 1.642 * [taylor]: Taking taylor expansion of x in y 1.642 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 1.642 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 1.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.642 * [taylor]: Taking taylor expansion of 1/2 in y 1.642 * [taylor]: Taking taylor expansion of (/ x y) in y 1.642 * [taylor]: Taking taylor expansion of x in y 1.642 * [taylor]: Taking taylor expansion of y in y 1.642 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.642 * [taylor]: Taking taylor expansion of -1 in y 1.642 * [taylor]: Taking taylor expansion of x in y 1.642 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.642 * [taylor]: Taking taylor expansion of 1/2 in x 1.642 * [taylor]: Taking taylor expansion of x in x 1.643 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.643 * [taylor]: Taking taylor expansion of x in x 1.646 * [taylor]: Taking taylor expansion of 0 in x 1.650 * [taylor]: Taking taylor expansion of 0 in x 1.654 * [taylor]: Taking taylor expansion of 0 in x 1.655 * * * [progress]: simplifying candidates 1.656 * [simplify]: Simplifying using # : (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (* (* (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 1.660 * * [simplify]: iteration 0 : 21 enodes (cost 44 ) 1.663 * * [simplify]: iteration 1 : 48 enodes (cost 39 ) 1.666 * * [simplify]: iteration 2 : 156 enodes (cost 39 ) 1.671 * * [simplify]: iteration 3 : 585 enodes (cost 39 ) 1.690 * * [simplify]: iteration 4 : 2784 enodes (cost 39 ) 1.762 * * [simplify]: iteration 5 : 5001 enodes (cost 39 ) 1.763 * [simplify]: Simplified to: (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (pow (fma 1/2 (/ y x) x) 3) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) 1.763 * * * [progress]: adding candidates to table 1.785 * [progress]: [Phase 3 of 3] Extracting. 1.785 * * [regime]: Finding splitpoints for: (# # # #) 1.785 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x) 1.785 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.804 * * * * [regimes]: Trying to branch on y from (# # # #) 1.849 * * * * [regimes]: Trying to branch on x from (# # # #) 1.882 * * * [regime]: Found split indices: #