26.317 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.032 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.032 * * [simplify]: iteration 0: 5 enodes 0.034 * * [simplify]: iteration 1: 7 enodes 0.035 * * [simplify]: iteration complete: 7 enodes 0.035 * * [simplify]: Extracting #0: cost 1 inf + 0 0.036 * * [simplify]: Extracting #1: cost 2 inf + 0 0.036 * * [simplify]: Extracting #2: cost 5 inf + 0 0.036 * * [simplify]: Extracting #3: cost 3 inf + 2 0.036 * * [simplify]: Extracting #4: cost 0 inf + 197 0.036 * [simplify]: Simplified to: (sqrt (fma x x y)) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.069 * [backup-simplify]: Simplify (sqrt (fma x x y)) into (sqrt (fma x x y)) 0.069 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 0.069 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.069 * [taylor]: Rewrote expression to (+ (* x x) y) 0.069 * [taylor]: Taking taylor expansion of (* x x) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.070 * [backup-simplify]: Simplify x into x 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [backup-simplify]: Simplify x into x 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.070 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.070 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.070 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.071 * [backup-simplify]: Simplify (+ 0 1) into 1 0.071 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.071 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.071 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.071 * [taylor]: Rewrote expression to (+ (* x x) y) 0.071 * [taylor]: Taking taylor expansion of (* x x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.072 * [backup-simplify]: Simplify (* 0 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 y) into y 0.072 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.072 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.073 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.073 * [taylor]: Rewrote expression to (+ (* x x) y) 0.073 * [taylor]: Taking taylor expansion of (* x x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (* 0 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 y) into y 0.074 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.074 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.075 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (sqrt 0) into 0 0.077 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.078 * [backup-simplify]: Simplify (+ 1 0) into 1 0.079 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.079 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.079 * [taylor]: Taking taylor expansion of 1/2 in y 0.079 * [backup-simplify]: Simplify 1/2 into 1/2 0.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [backup-simplify]: Simplify (sqrt 0) into 0 0.081 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.083 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.083 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.083 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.086 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.087 * [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)))))) 0.087 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) into (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) 0.087 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.087 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.087 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.087 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [backup-simplify]: Simplify x into x 0.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [backup-simplify]: Simplify x into x 0.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [backup-simplify]: Simplify (+ 0 1) into 1 0.089 * [backup-simplify]: Simplify (sqrt 0) into 0 0.089 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.089 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.089 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.090 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.090 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ 1 0) into 1 0.091 * [backup-simplify]: Simplify (sqrt 1) into 1 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.093 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.093 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.093 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.093 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [backup-simplify]: Simplify y into y 0.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [backup-simplify]: Simplify (sqrt 1) into 1 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.097 * [taylor]: Taking taylor expansion of 1 in y 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.099 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.099 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.099 * [taylor]: Taking taylor expansion of 1/2 in y 0.099 * [backup-simplify]: Simplify 1/2 into 1/2 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.100 * [backup-simplify]: Simplify 1/2 into 1/2 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.106 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.106 * [taylor]: Taking taylor expansion of -1/8 in y 0.106 * [backup-simplify]: Simplify -1/8 into -1/8 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (* 1 1) into 1 0.106 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.107 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) 0.107 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.107 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.108 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.108 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.108 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.108 * [taylor]: Taking taylor expansion of -1 in y 0.108 * [backup-simplify]: Simplify -1 into -1 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [backup-simplify]: Simplify x into x 0.108 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.108 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.108 * [taylor]: Taking taylor expansion of -1 in y 0.108 * [backup-simplify]: Simplify -1 into -1 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [backup-simplify]: Simplify x into x 0.108 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.108 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.108 * [taylor]: Taking taylor expansion of -1 in y 0.108 * [backup-simplify]: Simplify -1 into -1 0.108 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.109 * [backup-simplify]: Simplify (sqrt 0) into 0 0.110 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.110 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.110 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.110 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.110 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.110 * [taylor]: Taking taylor expansion of -1 in x 0.110 * [backup-simplify]: Simplify -1 into -1 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ -1 1) into -1 0.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.110 * [taylor]: Taking taylor expansion of -1 in x 0.110 * [backup-simplify]: Simplify -1 into -1 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ -1 1) into -1 0.110 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.111 * [taylor]: Taking taylor expansion of -1 in x 0.111 * [backup-simplify]: Simplify -1 into -1 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.111 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.111 * [backup-simplify]: Simplify (* -1 -1) into 1 0.111 * [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 0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.113 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.113 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.114 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.114 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.114 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.114 * [taylor]: Taking taylor expansion of -1 in x 0.114 * [backup-simplify]: Simplify -1 into -1 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ -1 1) into -1 0.114 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.114 * [taylor]: Taking taylor expansion of -1 in x 0.114 * [backup-simplify]: Simplify -1 into -1 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ -1 1) into -1 0.114 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.114 * [taylor]: Taking taylor expansion of -1 in x 0.114 * [backup-simplify]: Simplify -1 into -1 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [backup-simplify]: Simplify y into y 0.115 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.115 * [backup-simplify]: Simplify (* -1 -1) into 1 0.115 * [backup-simplify]: Simplify (+ 1 0) into 1 0.115 * [backup-simplify]: Simplify (sqrt 1) into 1 0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.117 * [taylor]: Taking taylor expansion of 1 in y 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 (/ -1 y)) into (- (/ 1 y)) 0.120 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.120 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.120 * [taylor]: Taking taylor expansion of -1/2 in y 0.120 * [backup-simplify]: Simplify -1/2 into -1/2 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.121 * [backup-simplify]: Simplify -1/2 into -1/2 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.123 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.127 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.129 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of -1/8 in y 0.129 * [backup-simplify]: Simplify -1/8 into -1/8 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.132 * * * [progress]: simplifying candidates 0.132 * * * * [progress]: [ 1 / 19 ] simplifiying candidate # 0.132 * * * * [progress]: [ 2 / 19 ] simplifiying candidate # 0.132 * * * * [progress]: [ 3 / 19 ] simplifiying candidate # 0.132 * * * * [progress]: [ 4 / 19 ] simplifiying candidate # 0.132 * * * * [progress]: [ 5 / 19 ] simplifiying candidate # 0.132 * * * * [progress]: [ 6 / 19 ] simplifiying candidate # 0.132 * * * * [progress]: [ 7 / 19 ] simplifiying candidate # 0.132 * * * * [progress]: [ 8 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 9 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 10 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 11 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 12 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #real (real->posit16 (sqrt (fma x x y)))))> 0.133 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 19 / 19 ] simplifiying candidate # 0.134 * [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))) (real->posit16 (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)))) 0.134 * * [simplify]: iteration 0: 38 enodes 0.143 * * [simplify]: iteration 1: 77 enodes 0.164 * * [simplify]: iteration 2: 175 enodes 0.212 * * [simplify]: iteration 3: 437 enodes 0.414 * * [simplify]: iteration 4: 1109 enodes 1.389 * * [simplify]: iteration 5: 3090 enodes 2.720 * * [simplify]: iteration complete: 5037 enodes 2.721 * * [simplify]: Extracting #0: cost 17 inf + 0 2.721 * * [simplify]: Extracting #1: cost 209 inf + 2 2.725 * * [simplify]: Extracting #2: cost 659 inf + 5768 2.740 * * [simplify]: Extracting #3: cost 418 inf + 39324 2.773 * * [simplify]: Extracting #4: cost 68 inf + 76577 2.814 * * [simplify]: Extracting #5: cost 1 inf + 85459 2.863 * * [simplify]: Extracting #6: cost 0 inf + 85767 2.907 * [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))) (* (fma x x y) (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)) 1/2 (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (real->posit16 (sqrt (fma x x y))) (* (fma x x (fma y (- y) (- y))) +nan.0) (fma (/ 1/2 x) y x) (- (/ -1/2 (/ x y)) x) 2.908 * * * [progress]: adding candidates to table 2.988 * * [progress]: iteration 2 / 4 2.988 * * * [progress]: picking best candidate 2.993 * * * * [pick]: Picked # 2.994 * * * [progress]: localizing error 3.009 * * * [progress]: generating rewritten candidates 3.009 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.010 * * * [progress]: generating series expansions 3.010 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.010 * [backup-simplify]: Simplify (fma (/ 1/2 x) y x) into (fma (/ 1/2 x) y x) 3.010 * [approximate]: Taking taylor expansion of (fma (/ 1/2 x) y x) in (x y) around 0 3.010 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in y 3.010 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x) 3.010 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in y 3.010 * [taylor]: Taking taylor expansion of (/ 1/2 x) in y 3.010 * [taylor]: Taking taylor expansion of 1/2 in y 3.010 * [backup-simplify]: Simplify 1/2 into 1/2 3.010 * [taylor]: Taking taylor expansion of x in y 3.010 * [backup-simplify]: Simplify x into x 3.011 * [backup-simplify]: Simplify (/ 1/2 x) into (/ 1/2 x) 3.011 * [taylor]: Taking taylor expansion of y in y 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [taylor]: Taking taylor expansion of x in y 3.011 * [backup-simplify]: Simplify x into x 3.011 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in x 3.011 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x) 3.011 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in x 3.011 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.011 * [taylor]: Taking taylor expansion of 1/2 in x 3.011 * [backup-simplify]: Simplify 1/2 into 1/2 3.011 * [taylor]: Taking taylor expansion of x in x 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.012 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.012 * [taylor]: Taking taylor expansion of y in x 3.012 * [backup-simplify]: Simplify y into y 3.012 * [taylor]: Taking taylor expansion of x in x 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in x 3.012 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x) 3.012 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in x 3.012 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.012 * [taylor]: Taking taylor expansion of 1/2 in x 3.012 * [backup-simplify]: Simplify 1/2 into 1/2 3.012 * [taylor]: Taking taylor expansion of x in x 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.013 * [taylor]: Taking taylor expansion of y in x 3.013 * [backup-simplify]: Simplify y into y 3.013 * [taylor]: Taking taylor expansion of x in x 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 3.013 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 3.013 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 3.013 * [taylor]: Taking taylor expansion of 1/2 in y 3.013 * [backup-simplify]: Simplify 1/2 into 1/2 3.013 * [taylor]: Taking taylor expansion of y in y 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.014 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 3.015 * [backup-simplify]: Simplify (+ 0 0) into 0 3.015 * [taylor]: Taking taylor expansion of 0 in y 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.016 * [backup-simplify]: Simplify 1/2 into 1/2 3.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.018 * [backup-simplify]: Simplify (+ 0 1) into 1 3.018 * [taylor]: Taking taylor expansion of 1 in y 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.022 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [taylor]: Taking taylor expansion of 0 in y 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.023 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 3.023 * [backup-simplify]: Simplify (fma (/ 1/2 (/ 1 x)) (/ 1 y) (/ 1 x)) into (fma (* 1/2 x) (/ 1 y) (/ 1 x)) 3.023 * [approximate]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in (x y) around 0 3.023 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in y 3.024 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x)) 3.024 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in y 3.024 * [taylor]: Taking taylor expansion of (* 1/2 x) in y 3.024 * [taylor]: Taking taylor expansion of 1/2 in y 3.024 * [backup-simplify]: Simplify 1/2 into 1/2 3.024 * [taylor]: Taking taylor expansion of x in y 3.024 * [backup-simplify]: Simplify x into x 3.024 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.024 * [taylor]: Taking taylor expansion of y in y 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [backup-simplify]: Simplify (/ 1 1) into 1 3.024 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.024 * [taylor]: Taking taylor expansion of x in y 3.024 * [backup-simplify]: Simplify x into x 3.024 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.024 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in x 3.025 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x)) 3.025 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in x 3.025 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.025 * [taylor]: Taking taylor expansion of 1/2 in x 3.025 * [backup-simplify]: Simplify 1/2 into 1/2 3.025 * [taylor]: Taking taylor expansion of x in x 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.025 * [taylor]: Taking taylor expansion of y in x 3.025 * [backup-simplify]: Simplify y into y 3.025 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.025 * [taylor]: Taking taylor expansion of x in x 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (/ 1 1) into 1 3.025 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in x 3.025 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x)) 3.026 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in x 3.026 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.026 * [taylor]: Taking taylor expansion of 1/2 in x 3.026 * [backup-simplify]: Simplify 1/2 into 1/2 3.026 * [taylor]: Taking taylor expansion of x in x 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 1 into 1 3.026 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.026 * [taylor]: Taking taylor expansion of y in x 3.026 * [backup-simplify]: Simplify y into y 3.026 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.026 * [taylor]: Taking taylor expansion of x in x 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (/ 1 1) into 1 3.027 * [backup-simplify]: Simplify (+ 0 1) into 1 3.027 * [taylor]: Taking taylor expansion of 1 in y 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.027 * [backup-simplify]: Simplify (* 0 (/ 1 y)) into 0 3.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (+ 0 0) into 0 3.029 * [taylor]: Taking taylor expansion of 0 in y 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 1 into 1 3.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.029 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.030 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (/ 1 y))) into (* 1/2 (/ 1 y)) 3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) 0) into (* 1/2 (/ 1 y)) 3.031 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 3.031 * [taylor]: Taking taylor expansion of 1/2 in y 3.031 * [backup-simplify]: Simplify 1/2 into 1/2 3.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.031 * [taylor]: Taking taylor expansion of y in y 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (/ 1 1) into 1 3.032 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.032 * [backup-simplify]: Simplify 1/2 into 1/2 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (/ 1 y)))) into 0 3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (+ 0 0) into 0 3.035 * [taylor]: Taking taylor expansion of 0 in y 3.035 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (+ 0 0) into 0 3.041 * [taylor]: Taking taylor expansion of 0 in y 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 3.042 * [backup-simplify]: Simplify (fma (/ 1/2 (/ 1 (- x))) (/ 1 (- y)) (/ 1 (- x))) into (fma (* -1/2 x) (/ -1 y) (/ -1 x)) 3.042 * [approximate]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in (x y) around 0 3.042 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in y 3.042 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x)) 3.042 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in y 3.042 * [taylor]: Taking taylor expansion of (* -1/2 x) in y 3.042 * [taylor]: Taking taylor expansion of -1/2 in y 3.042 * [backup-simplify]: Simplify -1/2 into -1/2 3.042 * [taylor]: Taking taylor expansion of x in y 3.042 * [backup-simplify]: Simplify x into x 3.042 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.042 * [taylor]: Taking taylor expansion of -1 in y 3.042 * [backup-simplify]: Simplify -1 into -1 3.042 * [taylor]: Taking taylor expansion of y in y 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 1 into 1 3.043 * [backup-simplify]: Simplify (/ -1 1) into -1 3.043 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.043 * [taylor]: Taking taylor expansion of -1 in y 3.043 * [backup-simplify]: Simplify -1 into -1 3.043 * [taylor]: Taking taylor expansion of x in y 3.043 * [backup-simplify]: Simplify x into x 3.043 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.043 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in x 3.043 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x)) 3.043 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in x 3.043 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 3.043 * [taylor]: Taking taylor expansion of -1/2 in x 3.043 * [backup-simplify]: Simplify -1/2 into -1/2 3.043 * [taylor]: Taking taylor expansion of x in x 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 1 into 1 3.043 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.043 * [taylor]: Taking taylor expansion of -1 in x 3.043 * [backup-simplify]: Simplify -1 into -1 3.043 * [taylor]: Taking taylor expansion of y in x 3.044 * [backup-simplify]: Simplify y into y 3.044 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 3.044 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.044 * [taylor]: Taking taylor expansion of -1 in x 3.044 * [backup-simplify]: Simplify -1 into -1 3.044 * [taylor]: Taking taylor expansion of x in x 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 1 into 1 3.044 * [backup-simplify]: Simplify (/ -1 1) into -1 3.044 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in x 3.044 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x)) 3.044 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in x 3.044 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 3.044 * [taylor]: Taking taylor expansion of -1/2 in x 3.044 * [backup-simplify]: Simplify -1/2 into -1/2 3.045 * [taylor]: Taking taylor expansion of x in x 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 1 into 1 3.045 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.045 * [taylor]: Taking taylor expansion of -1 in x 3.045 * [backup-simplify]: Simplify -1 into -1 3.045 * [taylor]: Taking taylor expansion of y in x 3.045 * [backup-simplify]: Simplify y into y 3.045 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 3.045 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.045 * [taylor]: Taking taylor expansion of -1 in x 3.045 * [backup-simplify]: Simplify -1 into -1 3.045 * [taylor]: Taking taylor expansion of x in x 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify (/ -1 1) into -1 3.046 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.046 * [taylor]: Taking taylor expansion of -1 in y 3.046 * [backup-simplify]: Simplify -1 into -1 3.047 * [backup-simplify]: Simplify (* -1/2 0) into 0 3.047 * [backup-simplify]: Simplify (* 0 (/ -1 y)) into 0 3.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [taylor]: Taking taylor expansion of 0 in y 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify -1 into -1 3.048 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 3.049 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 3.050 * [backup-simplify]: Simplify (+ (* 0 0) (* -1/2 (/ -1 y))) into (* 1/2 (/ 1 y)) 3.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) 0) into (* 1/2 (/ 1 y)) 3.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 3.051 * [taylor]: Taking taylor expansion of 1/2 in y 3.051 * [backup-simplify]: Simplify 1/2 into 1/2 3.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.051 * [taylor]: Taking taylor expansion of y in y 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 1 into 1 3.051 * [backup-simplify]: Simplify (/ 1 1) into 1 3.052 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.052 * [backup-simplify]: Simplify 1/2 into 1/2 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.053 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (/ -1 y)))) into 0 3.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.055 * [backup-simplify]: Simplify (+ 0 0) into 0 3.055 * [taylor]: Taking taylor expansion of 0 in y 3.055 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.058 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0 3.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (+ 0 0) into 0 3.061 * [taylor]: Taking taylor expansion of 0 in y 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 3.061 * * * [progress]: simplifying candidates 3.061 * * * * [progress]: [ 1 / 14 ] simplifiying candidate # 3.061 * * * * [progress]: [ 2 / 14 ] simplifiying candidate # 3.061 * * * * [progress]: [ 3 / 14 ] simplifiying candidate # 3.061 * * * * [progress]: [ 4 / 14 ] simplifiying candidate # 3.061 * * * * [progress]: [ 5 / 14 ] simplifiying candidate # 3.062 * * * * [progress]: [ 6 / 14 ] simplifiying candidate # 3.062 * * * * [progress]: [ 7 / 14 ] simplifiying candidate # 3.062 * * * * [progress]: [ 8 / 14 ] simplifiying candidate # 3.062 * * * * [progress]: [ 9 / 14 ] simplifiying candidate # 3.062 * * * * [progress]: [ 10 / 14 ] simplifiying candidate # 3.062 * * * * [progress]: [ 11 / 14 ] simplifiying candidate #real (real->posit16 (fma (/ 1/2 x) y x))))> 3.062 * * * * [progress]: [ 12 / 14 ] simplifiying candidate # 3.062 * * * * [progress]: [ 13 / 14 ] simplifiying candidate # 3.062 * * * * [progress]: [ 14 / 14 ] simplifiying candidate # 3.062 * [simplify]: Simplifying: (expm1 (fma (/ 1/2 x) y x)) (log1p (fma (/ 1/2 x) y x)) (* (/ 1/2 x) y) (log (fma (/ 1/2 x) y x)) (exp (fma (/ 1/2 x) y x)) (* (cbrt (fma (/ 1/2 x) y x)) (cbrt (fma (/ 1/2 x) y x))) (cbrt (fma (/ 1/2 x) y x)) (* (* (fma (/ 1/2 x) y x) (fma (/ 1/2 x) y x)) (fma (/ 1/2 x) y x)) (sqrt (fma (/ 1/2 x) y x)) (sqrt (fma (/ 1/2 x) y x)) (real->posit16 (fma (/ 1/2 x) y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 3.063 * * [simplify]: iteration 0: 19 enodes 3.068 * * [simplify]: iteration 1: 25 enodes 3.074 * * [simplify]: iteration 2: 49 enodes 3.085 * * [simplify]: iteration 3: 163 enodes 3.161 * * [simplify]: iteration 4: 662 enodes 4.132 * * [simplify]: iteration 5: 2926 enodes 4.995 * * [simplify]: iteration complete: 5000 enodes 4.996 * * [simplify]: Extracting #0: cost 11 inf + 0 4.996 * * [simplify]: Extracting #1: cost 105 inf + 0 5.002 * * [simplify]: Extracting #2: cost 322 inf + 2753 5.028 * * [simplify]: Extracting #3: cost 159 inf + 36784 5.116 * * [simplify]: Extracting #4: cost 9 inf + 71256 5.217 * * [simplify]: Extracting #5: cost 0 inf + 74017 5.312 * [simplify]: Simplified to: (expm1 (fma y (/ 1/2 x) x)) (log1p (fma y (/ 1/2 x) x)) (* (/ 1/2 x) y) (log (fma y (/ 1/2 x) x)) (exp (fma y (/ 1/2 x) x)) (* (cbrt (fma y (/ 1/2 x) x)) (cbrt (fma y (/ 1/2 x) x))) (cbrt (fma y (/ 1/2 x) x)) (* (fma y (/ 1/2 x) x) (* (fma y (/ 1/2 x) x) (fma y (/ 1/2 x) x))) (sqrt (fma y (/ 1/2 x) x)) (sqrt (fma y (/ 1/2 x) x)) (real->posit16 (fma y (/ 1/2 x) x)) (fma y (/ 1/2 x) x) (fma y (/ 1/2 x) x) (fma y (/ 1/2 x) x) 5.313 * * * [progress]: adding candidates to table 5.378 * * [progress]: iteration 3 / 4 5.378 * * * [progress]: picking best candidate 5.382 * * * * [pick]: Picked # 5.382 * * * [progress]: localizing error 5.398 * * * [progress]: generating rewritten candidates 5.398 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 5.413 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.511 * * * [progress]: generating series expansions 5.511 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 5.512 * [backup-simplify]: Simplify (/ -1/2 (/ x y)) into (* -1/2 (/ y x)) 5.512 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (x y) around 0 5.512 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 5.512 * [taylor]: Taking taylor expansion of -1/2 in y 5.512 * [backup-simplify]: Simplify -1/2 into -1/2 5.512 * [taylor]: Taking taylor expansion of (/ y x) in y 5.512 * [taylor]: Taking taylor expansion of y in y 5.512 * [backup-simplify]: Simplify 0 into 0 5.512 * [backup-simplify]: Simplify 1 into 1 5.512 * [taylor]: Taking taylor expansion of x in y 5.512 * [backup-simplify]: Simplify x into x 5.512 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.512 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 5.512 * [taylor]: Taking taylor expansion of -1/2 in x 5.512 * [backup-simplify]: Simplify -1/2 into -1/2 5.512 * [taylor]: Taking taylor expansion of (/ y x) in x 5.512 * [taylor]: Taking taylor expansion of y in x 5.512 * [backup-simplify]: Simplify y into y 5.512 * [taylor]: Taking taylor expansion of x in x 5.512 * [backup-simplify]: Simplify 0 into 0 5.512 * [backup-simplify]: Simplify 1 into 1 5.512 * [backup-simplify]: Simplify (/ y 1) into y 5.512 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 5.512 * [taylor]: Taking taylor expansion of -1/2 in x 5.512 * [backup-simplify]: Simplify -1/2 into -1/2 5.512 * [taylor]: Taking taylor expansion of (/ y x) in x 5.512 * [taylor]: Taking taylor expansion of y in x 5.512 * [backup-simplify]: Simplify y into y 5.512 * [taylor]: Taking taylor expansion of x in x 5.513 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify 1 into 1 5.513 * [backup-simplify]: Simplify (/ y 1) into y 5.513 * [backup-simplify]: Simplify (* -1/2 y) into (* -1/2 y) 5.513 * [taylor]: Taking taylor expansion of (* -1/2 y) in y 5.513 * [taylor]: Taking taylor expansion of -1/2 in y 5.513 * [backup-simplify]: Simplify -1/2 into -1/2 5.513 * [taylor]: Taking taylor expansion of y in y 5.513 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify 1 into 1 5.514 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 5.514 * [backup-simplify]: Simplify -1/2 into -1/2 5.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 5.515 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 y)) into 0 5.515 * [taylor]: Taking taylor expansion of 0 in y 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.516 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.518 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 y))) into 0 5.518 * [taylor]: Taking taylor expansion of 0 in y 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.519 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.522 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.522 * [taylor]: Taking taylor expansion of 0 in y 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify (* -1/2 (* y (/ 1 x))) into (* -1/2 (/ y x)) 5.522 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 x) (/ 1 y))) into (* -1/2 (/ x y)) 5.522 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 5.522 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 5.522 * [taylor]: Taking taylor expansion of -1/2 in y 5.522 * [backup-simplify]: Simplify -1/2 into -1/2 5.522 * [taylor]: Taking taylor expansion of (/ x y) in y 5.522 * [taylor]: Taking taylor expansion of x in y 5.522 * [backup-simplify]: Simplify x into x 5.522 * [taylor]: Taking taylor expansion of y in y 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (/ x 1) into x 5.522 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 5.523 * [taylor]: Taking taylor expansion of -1/2 in x 5.523 * [backup-simplify]: Simplify -1/2 into -1/2 5.523 * [taylor]: Taking taylor expansion of (/ x y) in x 5.523 * [taylor]: Taking taylor expansion of x in x 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify 1 into 1 5.523 * [taylor]: Taking taylor expansion of y in x 5.523 * [backup-simplify]: Simplify y into y 5.523 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.523 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 5.523 * [taylor]: Taking taylor expansion of -1/2 in x 5.523 * [backup-simplify]: Simplify -1/2 into -1/2 5.523 * [taylor]: Taking taylor expansion of (/ x y) in x 5.523 * [taylor]: Taking taylor expansion of x in x 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify 1 into 1 5.523 * [taylor]: Taking taylor expansion of y in x 5.523 * [backup-simplify]: Simplify y into y 5.523 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.523 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 5.523 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 5.523 * [taylor]: Taking taylor expansion of -1/2 in y 5.523 * [backup-simplify]: Simplify -1/2 into -1/2 5.523 * [taylor]: Taking taylor expansion of y in y 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify 1 into 1 5.524 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.524 * [backup-simplify]: Simplify -1/2 into -1/2 5.524 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.524 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 5.524 * [taylor]: Taking taylor expansion of 0 in y 5.524 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.526 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.526 * [taylor]: Taking taylor expansion of 0 in y 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.528 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 5.528 * [taylor]: Taking taylor expansion of 0 in y 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) into (* -1/2 (/ y x)) 5.530 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1/2 (/ x y)) 5.530 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 5.530 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 5.530 * [taylor]: Taking taylor expansion of -1/2 in y 5.530 * [backup-simplify]: Simplify -1/2 into -1/2 5.530 * [taylor]: Taking taylor expansion of (/ x y) in y 5.530 * [taylor]: Taking taylor expansion of x in y 5.530 * [backup-simplify]: Simplify x into x 5.530 * [taylor]: Taking taylor expansion of y in y 5.530 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify 1 into 1 5.530 * [backup-simplify]: Simplify (/ x 1) into x 5.530 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 5.530 * [taylor]: Taking taylor expansion of -1/2 in x 5.530 * [backup-simplify]: Simplify -1/2 into -1/2 5.530 * [taylor]: Taking taylor expansion of (/ x y) in x 5.530 * [taylor]: Taking taylor expansion of x in x 5.530 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify 1 into 1 5.530 * [taylor]: Taking taylor expansion of y in x 5.530 * [backup-simplify]: Simplify y into y 5.530 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.530 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 5.530 * [taylor]: Taking taylor expansion of -1/2 in x 5.530 * [backup-simplify]: Simplify -1/2 into -1/2 5.530 * [taylor]: Taking taylor expansion of (/ x y) in x 5.530 * [taylor]: Taking taylor expansion of x in x 5.530 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify 1 into 1 5.530 * [taylor]: Taking taylor expansion of y in x 5.530 * [backup-simplify]: Simplify y into y 5.530 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.530 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 5.530 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 5.530 * [taylor]: Taking taylor expansion of -1/2 in y 5.530 * [backup-simplify]: Simplify -1/2 into -1/2 5.531 * [taylor]: Taking taylor expansion of y in y 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify 1 into 1 5.531 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.531 * [backup-simplify]: Simplify -1/2 into -1/2 5.531 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.531 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 5.532 * [taylor]: Taking taylor expansion of 0 in y 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.533 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.533 * [taylor]: Taking taylor expansion of 0 in y 5.533 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify 0 into 0 5.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.534 * [backup-simplify]: Simplify 0 into 0 5.534 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.535 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 5.535 * [taylor]: Taking taylor expansion of 0 in y 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) into (* -1/2 (/ y x)) 5.536 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.536 * [backup-simplify]: Simplify (- (/ -1/2 (/ x y)) x) into (- (+ x (* 1/2 (/ y x)))) 5.536 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (x y) around 0 5.537 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 5.537 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 5.537 * [taylor]: Taking taylor expansion of x in y 5.537 * [backup-simplify]: Simplify x into x 5.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.537 * [taylor]: Taking taylor expansion of 1/2 in y 5.537 * [backup-simplify]: Simplify 1/2 into 1/2 5.537 * [taylor]: Taking taylor expansion of (/ y x) in y 5.537 * [taylor]: Taking taylor expansion of y in y 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify 1 into 1 5.537 * [taylor]: Taking taylor expansion of x in y 5.537 * [backup-simplify]: Simplify x into x 5.537 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.537 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 5.537 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 5.537 * [taylor]: Taking taylor expansion of x in x 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify 1 into 1 5.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.537 * [taylor]: Taking taylor expansion of 1/2 in x 5.537 * [backup-simplify]: Simplify 1/2 into 1/2 5.537 * [taylor]: Taking taylor expansion of (/ y x) in x 5.537 * [taylor]: Taking taylor expansion of y in x 5.537 * [backup-simplify]: Simplify y into y 5.537 * [taylor]: Taking taylor expansion of x in x 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify 1 into 1 5.537 * [backup-simplify]: Simplify (/ y 1) into y 5.537 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 5.537 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 5.537 * [taylor]: Taking taylor expansion of x in x 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify 1 into 1 5.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.537 * [taylor]: Taking taylor expansion of 1/2 in x 5.537 * [backup-simplify]: Simplify 1/2 into 1/2 5.537 * [taylor]: Taking taylor expansion of (/ y x) in x 5.537 * [taylor]: Taking taylor expansion of y in x 5.537 * [backup-simplify]: Simplify y into y 5.537 * [taylor]: Taking taylor expansion of x in x 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify 1 into 1 5.537 * [backup-simplify]: Simplify (/ y 1) into y 5.537 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 5.537 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 5.537 * [backup-simplify]: Simplify (- (* 1/2 y)) into (- (* 1/2 y)) 5.537 * [taylor]: Taking taylor expansion of (- (* 1/2 y)) in y 5.537 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 5.537 * [taylor]: Taking taylor expansion of 1/2 in y 5.537 * [backup-simplify]: Simplify 1/2 into 1/2 5.537 * [taylor]: Taking taylor expansion of y in y 5.537 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.538 * [backup-simplify]: Simplify (- 0) into 0 5.538 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 5.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 5.539 * [backup-simplify]: Simplify (+ 0 0) into 0 5.539 * [backup-simplify]: Simplify (- 0) into 0 5.539 * [taylor]: Taking taylor expansion of 0 in y 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.540 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.540 * [backup-simplify]: Simplify -1/2 into -1/2 5.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 5.542 * [backup-simplify]: Simplify (+ 1 0) into 1 5.542 * [backup-simplify]: Simplify (- 1) into -1 5.542 * [taylor]: Taking taylor expansion of -1 in y 5.542 * [backup-simplify]: Simplify -1 into -1 5.542 * [backup-simplify]: Simplify -1 into -1 5.542 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.543 * [backup-simplify]: Simplify (- 0) into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.545 * [backup-simplify]: Simplify (+ 0 0) into 0 5.546 * [backup-simplify]: Simplify (- 0) into 0 5.546 * [taylor]: Taking taylor expansion of 0 in y 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.547 * [backup-simplify]: Simplify (- 0) into 0 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify (+ (* -1 (* 1 x)) (* -1/2 (* y (/ 1 x)))) into (- (+ x (* 1/2 (/ y x)))) 5.547 * [backup-simplify]: Simplify (- (/ -1/2 (/ (/ 1 x) (/ 1 y))) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x))) 5.547 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (x y) around 0 5.547 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 5.547 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 5.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.547 * [taylor]: Taking taylor expansion of 1/2 in y 5.547 * [backup-simplify]: Simplify 1/2 into 1/2 5.547 * [taylor]: Taking taylor expansion of (/ x y) in y 5.547 * [taylor]: Taking taylor expansion of x in y 5.547 * [backup-simplify]: Simplify x into x 5.547 * [taylor]: Taking taylor expansion of y in y 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 1 into 1 5.547 * [backup-simplify]: Simplify (/ x 1) into x 5.547 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.547 * [taylor]: Taking taylor expansion of x in y 5.547 * [backup-simplify]: Simplify x into x 5.547 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.547 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 5.547 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 5.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.547 * [taylor]: Taking taylor expansion of 1/2 in x 5.547 * [backup-simplify]: Simplify 1/2 into 1/2 5.547 * [taylor]: Taking taylor expansion of (/ x y) in x 5.547 * [taylor]: Taking taylor expansion of x in x 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 1 into 1 5.547 * [taylor]: Taking taylor expansion of y in x 5.547 * [backup-simplify]: Simplify y into y 5.547 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.547 * [taylor]: Taking taylor expansion of x in x 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 1 into 1 5.548 * [backup-simplify]: Simplify (/ 1 1) into 1 5.548 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 5.548 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 5.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.548 * [taylor]: Taking taylor expansion of 1/2 in x 5.548 * [backup-simplify]: Simplify 1/2 into 1/2 5.548 * [taylor]: Taking taylor expansion of (/ x y) in x 5.548 * [taylor]: Taking taylor expansion of x in x 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 1 into 1 5.548 * [taylor]: Taking taylor expansion of y in x 5.548 * [backup-simplify]: Simplify y into y 5.548 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.548 * [taylor]: Taking taylor expansion of x in x 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 1 into 1 5.552 * [backup-simplify]: Simplify (/ 1 1) into 1 5.552 * [backup-simplify]: Simplify (+ 0 1) into 1 5.552 * [backup-simplify]: Simplify (- 1) into -1 5.552 * [taylor]: Taking taylor expansion of -1 in y 5.552 * [backup-simplify]: Simplify -1 into -1 5.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.553 * [backup-simplify]: Simplify (+ 0 0) into 0 5.553 * [backup-simplify]: Simplify (- 0) into 0 5.553 * [taylor]: Taking taylor expansion of 0 in y 5.553 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify -1 into -1 5.554 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 5.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.554 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 5.554 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 y))) into (- (* 1/2 (/ 1 y))) 5.554 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 y))) in y 5.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 5.554 * [taylor]: Taking taylor expansion of 1/2 in y 5.554 * [backup-simplify]: Simplify 1/2 into 1/2 5.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.554 * [taylor]: Taking taylor expansion of y in y 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify 1 into 1 5.555 * [backup-simplify]: Simplify (/ 1 1) into 1 5.555 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.555 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.555 * [backup-simplify]: Simplify -1/2 into -1/2 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 5.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.556 * [backup-simplify]: Simplify (+ 0 0) into 0 5.557 * [backup-simplify]: Simplify (- 0) into 0 5.557 * [taylor]: Taking taylor expansion of 0 in y 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.558 * [backup-simplify]: Simplify (- 0) into 0 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.559 * [backup-simplify]: Simplify (+ 0 0) into 0 5.560 * [backup-simplify]: Simplify (- 0) into 0 5.560 * [taylor]: Taking taylor expansion of 0 in y 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* -1 (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ y x)))) 5.560 * [backup-simplify]: Simplify (- (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y))) 5.560 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (x y) around 0 5.560 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 5.560 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.560 * [taylor]: Taking taylor expansion of x in y 5.560 * [backup-simplify]: Simplify x into x 5.560 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.560 * [taylor]: Taking taylor expansion of 1/2 in y 5.560 * [backup-simplify]: Simplify 1/2 into 1/2 5.560 * [taylor]: Taking taylor expansion of (/ x y) in y 5.560 * [taylor]: Taking taylor expansion of x in y 5.560 * [backup-simplify]: Simplify x into x 5.560 * [taylor]: Taking taylor expansion of y in y 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 1 into 1 5.560 * [backup-simplify]: Simplify (/ x 1) into x 5.560 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 5.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.560 * [taylor]: Taking taylor expansion of x in x 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 1 into 1 5.561 * [backup-simplify]: Simplify (/ 1 1) into 1 5.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.561 * [taylor]: Taking taylor expansion of 1/2 in x 5.561 * [backup-simplify]: Simplify 1/2 into 1/2 5.561 * [taylor]: Taking taylor expansion of (/ x y) in x 5.561 * [taylor]: Taking taylor expansion of x in x 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [backup-simplify]: Simplify 1 into 1 5.561 * [taylor]: Taking taylor expansion of y in x 5.561 * [backup-simplify]: Simplify y into y 5.561 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.561 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 5.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.561 * [taylor]: Taking taylor expansion of x in x 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [backup-simplify]: Simplify 1 into 1 5.561 * [backup-simplify]: Simplify (/ 1 1) into 1 5.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.561 * [taylor]: Taking taylor expansion of 1/2 in x 5.561 * [backup-simplify]: Simplify 1/2 into 1/2 5.561 * [taylor]: Taking taylor expansion of (/ x y) in x 5.561 * [taylor]: Taking taylor expansion of x in x 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [backup-simplify]: Simplify 1 into 1 5.561 * [taylor]: Taking taylor expansion of y in x 5.561 * [backup-simplify]: Simplify y into y 5.561 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.562 * [backup-simplify]: Simplify (+ 1 0) into 1 5.562 * [taylor]: Taking taylor expansion of 1 in y 5.562 * [backup-simplify]: Simplify 1 into 1 5.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.562 * [backup-simplify]: Simplify (+ 0 0) into 0 5.562 * [taylor]: Taking taylor expansion of 0 in y 5.562 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify 1 into 1 5.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.563 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 5.563 * [backup-simplify]: Simplify (- (/ 1/2 y)) into (- (* 1/2 (/ 1 y))) 5.563 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 y)))) into (- (* 1/2 (/ 1 y))) 5.563 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 y))) in y 5.563 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 5.563 * [taylor]: Taking taylor expansion of 1/2 in y 5.563 * [backup-simplify]: Simplify 1/2 into 1/2 5.563 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.563 * [taylor]: Taking taylor expansion of y in y 5.563 * [backup-simplify]: Simplify 0 into 0 5.563 * [backup-simplify]: Simplify 1 into 1 5.563 * [backup-simplify]: Simplify (/ 1 1) into 1 5.564 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.564 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.564 * [backup-simplify]: Simplify -1/2 into -1/2 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 0 into 0 5.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.565 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 5.565 * [backup-simplify]: Simplify (- 0) into 0 5.566 * [backup-simplify]: Simplify (+ 0 0) into 0 5.566 * [taylor]: Taking taylor expansion of 0 in y 5.566 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.567 * [backup-simplify]: Simplify (- 0) into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.568 * [backup-simplify]: Simplify (- 0) into 0 5.568 * [backup-simplify]: Simplify (+ 0 0) into 0 5.568 * [taylor]: Taking taylor expansion of 0 in y 5.568 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 5.569 * * * [progress]: simplifying candidates 5.569 * * * * 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5.569 * * * * [progress]: [ 17 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 18 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 19 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 20 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 21 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 22 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 23 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 24 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 25 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 26 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 27 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 28 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 29 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 30 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 31 / 274 ] simplifiying candidate # 5.570 * * * * [progress]: [ 32 / 274 ] 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candidate # 5.571 * * * * [progress]: [ 64 / 274 ] simplifiying candidate # 5.571 * * * * [progress]: [ 65 / 274 ] simplifiying candidate # 5.571 * * * * [progress]: [ 66 / 274 ] simplifiying candidate # 5.571 * * * * [progress]: [ 67 / 274 ] simplifiying candidate # 5.572 * * * * [progress]: [ 68 / 274 ] simplifiying candidate # 5.572 * * * * [progress]: [ 69 / 274 ] simplifiying candidate # 5.572 * * * * [progress]: [ 70 / 274 ] simplifiying candidate # 5.572 * * * * [progress]: [ 71 / 274 ] simplifiying candidate # 5.572 * * * * [progress]: [ 72 / 274 ] simplifiying candidate # 5.572 * * * * [progress]: [ 73 / 274 ] simplifiying candidate #real (real->posit16 (/ -1/2 (/ x y)))) x))> 5.572 * * * * [progress]: [ 74 / 274 ] simplifiying candidate # 5.572 * * * * [progress]: [ 75 / 274 ] simplifiying candidate # 5.572 * * * * [progress]: [ 76 / 274 ] simplifiying candidate # 5.572 * * * * [progress]: [ 77 / 274 ] simplifiying candidate # 5.572 * * * * [progress]: [ 78 / 274 ] 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x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (/ (exp (/ -1/2 (/ x y))) (exp x)) (log (- (/ -1/2 (/ x y)) x)) (exp (- (/ -1/2 (/ x y)) x)) (* (cbrt (- (/ -1/2 (/ x y)) x)) (cbrt (- (/ -1/2 (/ x y)) x))) (cbrt (- (/ -1/2 (/ x y)) x)) (* (* (- (/ -1/2 (/ x y)) x) (- (/ -1/2 (/ x y)) x)) (- (/ -1/2 (/ x y)) x)) (sqrt (- (/ -1/2 (/ x y)) x)) (sqrt (- (/ -1/2 (/ x y)) x)) (- (pow (/ -1/2 (/ x y)) 3) (pow x 3)) (+ (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (+ (* x x) (* (/ -1/2 (/ x y)) x))) (- x) (- (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (* x x)) (+ (/ -1/2 (/ x y)) x) (+ (sqrt (/ -1/2 (/ x y))) (sqrt x)) (- (sqrt (/ -1/2 (/ x y))) (sqrt x)) (+ (/ (sqrt -1/2) (sqrt (/ x y))) (sqrt x)) (- (/ (sqrt -1/2) (sqrt (/ x y))) (sqrt x)) (+ (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (sqrt x)) (- (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (sqrt x)) (- (/ -1/2 (/ x y)) x) (- x) (real->posit16 (- (/ -1/2 (/ x y)) x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) 5.588 * * [simplify]: iteration 0: 329 enodes 5.680 * * [simplify]: iteration 1: 804 enodes 5.942 * * [simplify]: iteration 2: 2087 enodes 7.048 * * [simplify]: iteration complete: 5000 enodes 7.048 * * [simplify]: Extracting #0: cost 150 inf + 0 7.052 * * [simplify]: Extracting #1: cost 679 inf + 3 7.060 * * [simplify]: Extracting #2: cost 1245 inf + 2097 7.077 * * [simplify]: Extracting #3: cost 946 inf + 53233 7.140 * * [simplify]: Extracting #4: cost 162 inf + 214964 7.215 * * [simplify]: Extracting #5: cost 8 inf + 253850 7.293 * * [simplify]: Extracting #6: cost 0 inf + 255621 7.360 * * [simplify]: Extracting #7: cost 0 inf + 255565 7.426 * [simplify]: Simplified to: (expm1 (/ -1/2 (/ x y))) (log1p (/ -1/2 (/ x y))) (log (/ -1/2 (/ x y))) (log (/ -1/2 (/ x 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-1/2 (/ x y)) x) (- x) (real->posit16 (- (/ -1/2 (/ x y)) x)) (/ -1/2 (/ x y)) (/ -1/2 (/ x y)) (/ -1/2 (/ x y)) (- (/ -1/2 (/ x y)) x) (- (/ -1/2 (/ x y)) x) (- (/ -1/2 (/ x y)) x) 7.457 * * * [progress]: adding candidates to table 8.109 * [progress]: [Phase 3 of 3] Extracting. 8.109 * * [regime]: Finding splitpoints for: (# # #) 8.110 * * * [regime-changes]: Trying 2 branch expressions: (y x) 8.110 * * * * [regimes]: Trying to branch on y from (# # #) 8.151 * * * * [regimes]: Trying to branch on x from (# # #) 8.196 * * * [regime]: Found split indices: #