34.618 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.020 * * [simplify]: iteration 0: 5 enodes 0.020 * * [simplify]: iteration 1: 7 enodes 0.021 * * [simplify]: iteration complete: 7 enodes 0.021 * * [simplify]: Extracting #0: cost 1 inf + 0 0.021 * * [simplify]: Extracting #1: cost 2 inf + 0 0.021 * * [simplify]: Extracting #2: cost 5 inf + 0 0.021 * * [simplify]: Extracting #3: cost 3 inf + 2 0.021 * * [simplify]: Extracting #4: cost 0 inf + 197 0.021 * [simplify]: Simplified to: (sqrt (fma x x y)) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [backup-simplify]: Simplify (sqrt (fma x x y)) into (sqrt (fma x x y)) 0.048 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 0.048 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.049 * [taylor]: Rewrote expression to (+ (* x x) y) 0.049 * [taylor]: Taking taylor expansion of (* x x) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [backup-simplify]: Simplify x into x 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [backup-simplify]: Simplify x into x 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.049 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.049 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.049 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.050 * [backup-simplify]: Simplify (+ 0 1) into 1 0.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.050 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.050 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.050 * [taylor]: Rewrote expression to (+ (* x x) y) 0.050 * [taylor]: Taking taylor expansion of (* x x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.051 * [backup-simplify]: Simplify (* 0 0) into 0 0.051 * [backup-simplify]: Simplify (+ 0 y) into y 0.051 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.052 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.052 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.052 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.052 * [taylor]: Rewrote expression to (+ (* x x) y) 0.052 * [taylor]: Taking taylor expansion of (* x x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [backup-simplify]: Simplify y into y 0.053 * [backup-simplify]: Simplify (* 0 0) into 0 0.053 * [backup-simplify]: Simplify (+ 0 y) into y 0.053 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.054 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.054 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (sqrt 0) into 0 0.056 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.058 * [backup-simplify]: Simplify (+ 1 0) into 1 0.058 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.058 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.058 * [taylor]: Taking taylor expansion of 1/2 in y 0.058 * [backup-simplify]: Simplify 1/2 into 1/2 0.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [backup-simplify]: Simplify (sqrt 0) into 0 0.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.062 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.063 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.063 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.066 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.067 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 0.067 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) into (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) 0.067 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.067 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.067 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.068 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [backup-simplify]: Simplify x into x 0.068 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [backup-simplify]: Simplify x into x 0.068 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [backup-simplify]: Simplify (+ 0 1) into 1 0.069 * [backup-simplify]: Simplify (sqrt 0) into 0 0.071 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.071 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.071 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.071 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.071 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.073 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (+ 1 0) into 1 0.074 * [backup-simplify]: Simplify (sqrt 1) into 1 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.077 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.078 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.078 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [backup-simplify]: Simplify y into y 0.079 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.080 * [backup-simplify]: Simplify (sqrt 1) into 1 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.088 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.088 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.088 * [taylor]: Taking taylor expansion of 1/2 in y 0.088 * [backup-simplify]: Simplify 1/2 into 1/2 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.089 * [backup-simplify]: Simplify 1/2 into 1/2 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.100 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of -1/8 in y 0.100 * [backup-simplify]: Simplify -1/8 into -1/8 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.104 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) 0.104 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.104 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.104 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.104 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.104 * [taylor]: Taking taylor expansion of -1 in y 0.104 * [backup-simplify]: Simplify -1 into -1 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [backup-simplify]: Simplify x into x 0.104 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.104 * [taylor]: Taking taylor expansion of -1 in y 0.104 * [backup-simplify]: Simplify -1 into -1 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [backup-simplify]: Simplify x into x 0.104 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.104 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.104 * [taylor]: Taking taylor expansion of -1 in y 0.104 * [backup-simplify]: Simplify -1 into -1 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (/ -1 1) into -1 0.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.106 * [backup-simplify]: Simplify (sqrt 0) into 0 0.107 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.107 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.107 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.108 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.108 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.108 * [taylor]: Taking taylor expansion of -1 in x 0.108 * [backup-simplify]: Simplify -1 into -1 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ -1 1) into -1 0.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.108 * [taylor]: Taking taylor expansion of -1 in x 0.108 * [backup-simplify]: Simplify -1 into -1 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ -1 1) into -1 0.109 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.109 * [taylor]: Taking taylor expansion of -1 in x 0.109 * [backup-simplify]: Simplify -1 into -1 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.110 * [backup-simplify]: Simplify (* -1 -1) into 1 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.111 * [backup-simplify]: Simplify (sqrt 1) into 1 0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.115 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.115 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.115 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.115 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.115 * [taylor]: Taking taylor expansion of -1 in x 0.115 * [backup-simplify]: Simplify -1 into -1 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ -1 1) into -1 0.116 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.116 * [taylor]: Taking taylor expansion of -1 in x 0.116 * [backup-simplify]: Simplify -1 into -1 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ -1 1) into -1 0.117 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.117 * [taylor]: Taking taylor expansion of -1 in x 0.117 * [backup-simplify]: Simplify -1 into -1 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.117 * [backup-simplify]: Simplify (* -1 -1) into 1 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.118 * [backup-simplify]: Simplify (sqrt 1) into 1 0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.121 * [taylor]: Taking taylor expansion of 1 in y 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 (/ -1 y)) into (- (/ 1 y)) 0.126 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.126 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.126 * [taylor]: Taking taylor expansion of -1/2 in y 0.126 * [backup-simplify]: Simplify -1/2 into -1/2 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.127 * [backup-simplify]: Simplify -1/2 into -1/2 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.140 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.141 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of -1/8 in y 0.141 * [backup-simplify]: Simplify -1/8 into -1/8 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.143 * * * [progress]: simplifying candidates 0.143 * [simplify]: Simplifying: (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 y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.143 * * [simplify]: iteration 0: 37 enodes 0.150 * * [simplify]: iteration 1: 76 enodes 0.169 * * [simplify]: iteration 2: 208 enodes 0.313 * * [simplify]: iteration 3: 901 enodes 0.867 * * [simplify]: iteration complete: 5000 enodes 0.867 * * [simplify]: Extracting #0: cost 16 inf + 0 0.868 * * [simplify]: Extracting #1: cost 314 inf + 2 0.872 * * [simplify]: Extracting #2: cost 1547 inf + 2413 0.889 * * [simplify]: Extracting #3: cost 739 inf + 82219 0.935 * * [simplify]: Extracting #4: cost 26 inf + 185641 0.973 * * [simplify]: Extracting #5: cost 0 inf + 190770 1.035 * [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))) (* (sqrt (fma x x y)) (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)) 1/2 (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (* +nan.0 (- (- (* x x) y) (* y y))) (fma (/ y x) 1/2 x) (- (/ -1/2 (/ x y)) x) 1.035 * * * [progress]: adding candidates to table 1.102 * * [progress]: iteration 2 / 4 1.102 * * * [progress]: picking best candidate 1.108 * * * * [pick]: Picked # 1.108 * * * [progress]: localizing error 1.116 * * * [progress]: generating rewritten candidates 1.116 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.136 * * * [progress]: generating series expansions 1.136 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.136 * [backup-simplify]: Simplify (/ -1/2 (/ x y)) into (* -1/2 (/ y x)) 1.136 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (x y) around 0 1.136 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 1.136 * [taylor]: Taking taylor expansion of -1/2 in y 1.136 * [backup-simplify]: Simplify -1/2 into -1/2 1.136 * [taylor]: Taking taylor expansion of (/ y x) in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [taylor]: Taking taylor expansion of x in y 1.136 * [backup-simplify]: Simplify x into x 1.137 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.137 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 1.137 * [taylor]: Taking taylor expansion of -1/2 in x 1.137 * [backup-simplify]: Simplify -1/2 into -1/2 1.137 * [taylor]: Taking taylor expansion of (/ y x) in x 1.137 * [taylor]: Taking taylor expansion of y in x 1.137 * [backup-simplify]: Simplify y into y 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (/ y 1) into y 1.137 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 1.137 * [taylor]: Taking taylor expansion of -1/2 in x 1.137 * [backup-simplify]: Simplify -1/2 into -1/2 1.137 * [taylor]: Taking taylor expansion of (/ y x) in x 1.137 * [taylor]: Taking taylor expansion of y in x 1.137 * [backup-simplify]: Simplify y into y 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (/ y 1) into y 1.137 * [backup-simplify]: Simplify (* -1/2 y) into (* -1/2 y) 1.137 * [taylor]: Taking taylor expansion of (* -1/2 y) in y 1.137 * [taylor]: Taking taylor expansion of -1/2 in y 1.137 * [backup-simplify]: Simplify -1/2 into -1/2 1.137 * [taylor]: Taking taylor expansion of y in y 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.138 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1.138 * [backup-simplify]: Simplify -1/2 into -1/2 1.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 1.140 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 y)) into 0 1.140 * [taylor]: Taking taylor expansion of 0 in y 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.143 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 y))) into 0 1.143 * [taylor]: Taking taylor expansion of 0 in y 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.148 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.148 * [taylor]: Taking taylor expansion of 0 in y 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify (* -1/2 (* y (/ 1 x))) into (* -1/2 (/ y x)) 1.148 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 x) (/ 1 y))) into (* -1/2 (/ x y)) 1.148 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 1.148 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 1.148 * [taylor]: Taking taylor expansion of -1/2 in y 1.148 * [backup-simplify]: Simplify -1/2 into -1/2 1.148 * [taylor]: Taking taylor expansion of (/ x y) in y 1.148 * [taylor]: Taking taylor expansion of x in y 1.148 * [backup-simplify]: Simplify x into x 1.148 * [taylor]: Taking taylor expansion of y in y 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [backup-simplify]: Simplify (/ x 1) into x 1.148 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 1.148 * [taylor]: Taking taylor expansion of -1/2 in x 1.148 * [backup-simplify]: Simplify -1/2 into -1/2 1.148 * [taylor]: Taking taylor expansion of (/ x y) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [taylor]: Taking taylor expansion of y in x 1.149 * [backup-simplify]: Simplify y into y 1.149 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.149 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 1.149 * [taylor]: Taking taylor expansion of -1/2 in x 1.149 * [backup-simplify]: Simplify -1/2 into -1/2 1.149 * [taylor]: Taking taylor expansion of (/ x y) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [taylor]: Taking taylor expansion of y in x 1.149 * [backup-simplify]: Simplify y into y 1.149 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.149 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 1.149 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.149 * [taylor]: Taking taylor expansion of -1/2 in y 1.149 * [backup-simplify]: Simplify -1/2 into -1/2 1.149 * [taylor]: Taking taylor expansion of y in y 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.150 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.150 * [backup-simplify]: Simplify -1/2 into -1/2 1.150 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.150 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 1.150 * [taylor]: Taking taylor expansion of 0 in y 1.150 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.151 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.153 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.153 * [taylor]: Taking taylor expansion of 0 in y 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.155 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.155 * [taylor]: Taking taylor expansion of 0 in y 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) into (* -1/2 (/ y x)) 1.157 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1/2 (/ x y)) 1.157 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 1.157 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 1.157 * [taylor]: Taking taylor expansion of -1/2 in y 1.157 * [backup-simplify]: Simplify -1/2 into -1/2 1.157 * [taylor]: Taking taylor expansion of (/ x y) in y 1.157 * [taylor]: Taking taylor expansion of x in y 1.157 * [backup-simplify]: Simplify x into x 1.157 * [taylor]: Taking taylor expansion of y in y 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (/ x 1) into x 1.157 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 1.157 * [taylor]: Taking taylor expansion of -1/2 in x 1.157 * [backup-simplify]: Simplify -1/2 into -1/2 1.157 * [taylor]: Taking taylor expansion of (/ x y) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.158 * [taylor]: Taking taylor expansion of y in x 1.158 * [backup-simplify]: Simplify y into y 1.158 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.158 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 1.158 * [taylor]: Taking taylor expansion of -1/2 in x 1.158 * [backup-simplify]: Simplify -1/2 into -1/2 1.158 * [taylor]: Taking taylor expansion of (/ x y) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [taylor]: Taking taylor expansion of y in x 1.158 * [backup-simplify]: Simplify y into y 1.158 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.158 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 1.158 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.158 * [taylor]: Taking taylor expansion of -1/2 in y 1.158 * [backup-simplify]: Simplify -1/2 into -1/2 1.158 * [taylor]: Taking taylor expansion of y in y 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.159 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.159 * [backup-simplify]: Simplify -1/2 into -1/2 1.159 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.159 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 1.159 * [taylor]: Taking taylor expansion of 0 in y 1.159 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.160 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.161 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.161 * [taylor]: Taking taylor expansion of 0 in y 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.164 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.164 * [taylor]: Taking taylor expansion of 0 in y 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) into (* -1/2 (/ y x)) 1.166 * * * [progress]: simplifying candidates 1.168 * [simplify]: Simplifying: (expm1 (/ -1/2 (/ x y))) (log1p (/ -1/2 (/ x y))) (- (log -1/2) (- (log x) (log y))) (- (log -1/2) (log (/ x y))) (log (/ -1/2 (/ x y))) (exp (/ -1/2 (/ x y))) (/ (* (* -1/2 -1/2) -1/2) (/ (* (* x x) x) (* (* y y) y))) (/ (* (* -1/2 -1/2) -1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (/ -1/2 (/ x y))) (cbrt (/ -1/2 (/ x y)))) (cbrt (/ -1/2 (/ x y))) (* (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (- -1/2) (- (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y))) (/ (cbrt -1/2) (sqrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (cbrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (cbrt -1/2) (/ (cbrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt -1/2) (/ (cbrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (sqrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (sqrt y))) (/ (cbrt -1/2) (/ (sqrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) 1)) (/ (cbrt -1/2) (/ (sqrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ x (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (sqrt y))) (/ (cbrt -1/2) (/ x (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 1)) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) 1) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) x) (/ (cbrt -1/2) (/ 1 y)) (/ (sqrt -1/2) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (cbrt x) (cbrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (sqrt -1/2) (/ (cbrt x) (sqrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) 1)) (/ (sqrt -1/2) (/ (cbrt x) y)) (/ (sqrt -1/2) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (sqrt x) (cbrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) 1)) (/ (sqrt -1/2) (/ (sqrt x) y)) (/ (sqrt -1/2) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ x (cbrt y))) (/ (sqrt -1/2) (/ 1 (sqrt y))) (/ (sqrt -1/2) (/ x (sqrt y))) (/ (sqrt -1/2) (/ 1 1)) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) 1) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) x) (/ (sqrt -1/2) (/ 1 y)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (cbrt x) (cbrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (cbrt x) (sqrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (cbrt x) y)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (cbrt y))) (/ 1 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ 1 (/ (sqrt x) 1)) (/ -1/2 (/ (sqrt x) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ x (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ -1/2 (/ x (sqrt y))) (/ 1 (/ 1 1)) (/ -1/2 (/ x y)) (/ 1 1) (/ -1/2 (/ x y)) (/ 1 x) (/ -1/2 (/ 1 y)) (/ 1 (/ x y)) (/ (/ x y) -1/2) (/ -1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) 1)) (/ -1/2 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ 1 (sqrt y))) (/ -1/2 (/ 1 1)) (/ -1/2 1) (/ -1/2 x) (/ (/ x y) (cbrt -1/2)) (/ (/ x y) (sqrt -1/2)) (/ (/ x y) -1/2) (/ -1/2 x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 1.175 * * [simplify]: iteration 0: 152 enodes 1.216 * * [simplify]: iteration 1: 380 enodes 1.370 * * [simplify]: iteration 2: 1571 enodes 2.079 * * [simplify]: iteration complete: 5001 enodes 2.079 * * [simplify]: Extracting #0: cost 95 inf + 0 2.085 * * [simplify]: Extracting #1: cost 1206 inf + 3 2.110 * * [simplify]: Extracting #2: cost 1431 inf + 18619 2.156 * * [simplify]: Extracting #3: cost 593 inf + 157450 2.213 * * [simplify]: Extracting #4: cost 65 inf + 271082 2.266 * * [simplify]: Extracting #5: cost 3 inf + 289805 2.353 * * [simplify]: Extracting #6: cost 0 inf + 290744 2.422 * [simplify]: Simplified to: (expm1 (/ (* -1/2 y) x)) (log1p (/ (* -1/2 y) x)) (log (/ (* -1/2 y) x)) (log (/ (* -1/2 y) x)) (log (/ (* -1/2 y) x)) (exp (/ (* -1/2 y) x)) (/ (/ -1/8 (* (/ x y) (/ x y))) (/ x y)) (/ (/ -1/8 (* (/ x y) (/ x y))) (/ x y)) (* (cbrt (/ (* -1/2 y) x)) (cbrt (/ (* -1/2 y) x))) (cbrt (/ (* -1/2 y) x)) (/ (/ -1/8 (* (/ x y) (/ x y))) (/ x y)) (sqrt (/ (* -1/2 y) x)) (sqrt (/ (* -1/2 y) x)) 1/2 (/ (- x) y) (* (/ (cbrt -1/2) (cbrt (/ x y))) (/ (cbrt -1/2) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y))) (/ (cbrt -1/2) (sqrt (/ x y))) (* (/ (cbrt -1/2) (/ (cbrt x) (cbrt y))) (/ (cbrt -1/2) (/ (cbrt x) (cbrt y)))) (* (cbrt y) (/ (cbrt -1/2) (cbrt x))) (* (* (/ (cbrt -1/2) (cbrt x)) (/ (cbrt -1/2) (cbrt x))) (sqrt y)) (/ (* (sqrt y) (cbrt -1/2)) (cbrt x)) (* (/ (cbrt -1/2) (cbrt x)) (/ (cbrt -1/2) (cbrt x))) (* y (/ (cbrt -1/2) (cbrt x))) (/ (* (* (cbrt -1/2) (cbrt y)) (* (cbrt -1/2) (cbrt y))) (sqrt x)) (* (cbrt y) (/ (cbrt -1/2) (sqrt x))) (* (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt x)) (sqrt y)) (* (sqrt y) (/ (cbrt -1/2) (sqrt x))) (* (/ (cbrt -1/2) (sqrt x)) (cbrt -1/2)) (/ (* (cbrt -1/2) y) (sqrt x)) (* (* (cbrt -1/2) (cbrt y)) (* (cbrt -1/2) (cbrt y))) (* (cbrt y) (/ (cbrt -1/2) x)) (* (* (sqrt y) (cbrt -1/2)) (cbrt -1/2)) (* (/ (cbrt -1/2) x) (sqrt y)) (* (cbrt -1/2) (cbrt -1/2)) (* (/ (cbrt -1/2) x) y) (* (cbrt -1/2) (cbrt -1/2)) (* (/ (cbrt -1/2) x) y) (* (/ (cbrt -1/2) x) (cbrt -1/2)) (* y (cbrt -1/2)) (/ (/ (sqrt -1/2) (cbrt (/ x y))) (cbrt (/ x y))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ (sqrt -1/2) (cbrt x)) (cbrt y)) (/ (sqrt -1/2) (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (/ (* (sqrt -1/2) (sqrt y)) (cbrt x)) (/ (/ (sqrt -1/2) (cbrt x)) (cbrt x)) (/ (* y (sqrt -1/2)) (cbrt x)) (* (* (cbrt y) (/ (sqrt -1/2) (sqrt x))) (cbrt y)) (* (cbrt y) (/ (sqrt -1/2) (sqrt x))) (* (/ (sqrt -1/2) (sqrt x)) (sqrt y)) (* (/ (sqrt -1/2) (sqrt x)) (sqrt y)) (/ (sqrt -1/2) (sqrt x)) (/ (* y (sqrt -1/2)) (sqrt x)) (* (* (sqrt -1/2) (cbrt y)) (cbrt y)) (/ (* (cbrt y) (sqrt -1/2)) x) (* (sqrt -1/2) (sqrt y)) (/ (* (sqrt -1/2) (sqrt y)) x) (sqrt -1/2) (* (/ y x) (sqrt -1/2)) (sqrt -1/2) (* (/ y x) (sqrt -1/2)) (/ (sqrt -1/2) x) (* (sqrt -1/2) y) (/ (/ 1 (cbrt (/ x y))) (cbrt (/ x y))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (* (/ -1/2 (cbrt x)) (cbrt y)) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ (* (sqrt y) -1/2) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (* (/ -1/2 (cbrt x)) y) (/ (* (cbrt y) (cbrt y)) (sqrt x)) (* (/ -1/2 (sqrt x)) (cbrt y)) (/ (sqrt y) (sqrt x)) (* (sqrt y) (/ -1/2 (sqrt x))) (/ 1 (sqrt x)) (* (/ -1/2 (sqrt x)) y) (* (cbrt y) (cbrt y)) (* (/ -1/2 x) (cbrt y)) (sqrt y) (* (/ -1/2 x) (sqrt y)) 1 (/ (* -1/2 y) x) 1 (/ (* -1/2 y) x) (/ 1 x) (* -1/2 y) (/ y x) (/ (/ x -1/2) y) (/ (/ -1/2 (cbrt (/ x y))) (cbrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ -1/2 (cbrt x)) (/ (sqrt y) (cbrt x))) (/ -1/2 (* (cbrt x) (cbrt x))) (* (/ -1/2 (sqrt x)) (* (cbrt y) (cbrt y))) (* (sqrt y) (/ -1/2 (sqrt x))) (/ -1/2 (sqrt x)) (* (* -1/2 (cbrt y)) (cbrt y)) (* (sqrt y) -1/2) -1/2 -1/2 (/ -1/2 x) (/ x (* y (cbrt -1/2))) (/ (/ x y) (sqrt -1/2)) (/ (/ x -1/2) y) (/ -1/2 x) (/ -1/2 (/ x y)) (/ -1/2 (/ x y)) (/ -1/2 (/ x y)) 2.425 * * * [progress]: adding candidates to table 2.817 * * [progress]: iteration 3 / 4 2.817 * * * [progress]: picking best candidate 2.824 * * * * [pick]: Picked # 2.824 * * * [progress]: localizing error 2.843 * * * [progress]: generating rewritten candidates 2.843 * * * [progress]: generating series expansions 2.843 * * * [progress]: simplifying candidates 2.843 * [simplify]: Simplifying: 2.843 * * [simplify]: iteration 0: 0 enodes 2.843 * * [simplify]: iteration complete: 0 enodes 2.843 * * [simplify]: Extracting #0: cost 0 inf + 0 2.843 * [simplify]: Simplified to: 2.843 * * * [progress]: adding candidates to table 2.844 * [progress]: [Phase 3 of 3] Extracting. 2.844 * * [regime]: Finding splitpoints for: (# # #) 2.844 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.845 * * * * [regimes]: Trying to branch on y from (# # #) 2.951 * * * * [regimes]: Trying to branch on x from (# # #) 3.039 * * * [regime]: Found split indices: #