32.818 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.018 * * [simplify]: iteration 0: 5 enodes 0.018 * * [simplify]: iteration 1: 7 enodes 0.019 * * [simplify]: iteration complete: 7 enodes 0.019 * * [simplify]: Extracting #0: cost 1 inf + 0 0.019 * * [simplify]: Extracting #1: cost 2 inf + 0 0.019 * * [simplify]: Extracting #2: cost 5 inf + 0 0.019 * * [simplify]: Extracting #3: cost 3 inf + 2 0.019 * * [simplify]: Extracting #4: cost 0 inf + 14 0.019 * [simplify]: Simplified to: (sqrt (fma x x y)) 0.027 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.057 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.070 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.070 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 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 0.071 * [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 (+ (pow x 2) y)) in x 0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [backup-simplify]: Simplify y into y 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 0) into 0 0.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [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 0.073 * [backup-simplify]: Simplify (+ 0 y) into y 0.073 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 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 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (sqrt 0) into 0 0.075 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (+ 1 0) into 1 0.077 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.077 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.077 * [taylor]: Taking taylor expansion of 1/2 in y 0.077 * [backup-simplify]: Simplify 1/2 into 1/2 0.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [backup-simplify]: Simplify (sqrt 0) into 0 0.079 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.080 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.080 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.080 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.082 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.082 * [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)))))) 0.082 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.083 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [backup-simplify]: Simplify x into x 0.083 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.083 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify (+ 0 1) into 1 0.084 * [backup-simplify]: Simplify (sqrt 0) into 0 0.084 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.085 * [backup-simplify]: Simplify (+ 1 0) into 1 0.085 * [backup-simplify]: Simplify (sqrt 1) into 1 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.088 * [backup-simplify]: Simplify (sqrt 1) into 1 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.091 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.091 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.091 * [taylor]: Taking taylor expansion of 1/2 in y 0.091 * [backup-simplify]: Simplify 1/2 into 1/2 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.092 * [backup-simplify]: Simplify 1/2 into 1/2 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.093 * [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 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.097 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of -1/8 in y 0.097 * [backup-simplify]: Simplify -1/8 into -1/8 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.098 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.098 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.098 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.099 * [backup-simplify]: Simplify x into x 0.099 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.099 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify (- 1) into -1 0.099 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.100 * [backup-simplify]: Simplify (sqrt 0) into 0 0.100 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.100 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 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 1) into 1 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (sqrt 1) into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.103 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.104 * [backup-simplify]: Simplify (+ 1 0) into 1 0.104 * [backup-simplify]: Simplify (sqrt 1) into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.106 * [taylor]: Taking taylor expansion of 1 in y 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.107 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.108 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.108 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.108 * [taylor]: Taking taylor expansion of -1/2 in y 0.108 * [backup-simplify]: Simplify -1/2 into -1/2 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 (/ -1/2 1) into -1/2 0.108 * [backup-simplify]: Simplify -1/2 into -1/2 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.114 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of -1/8 in y 0.114 * [backup-simplify]: Simplify -1/8 into -1/8 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.115 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.115 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.115 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.116 * [backup-simplify]: Simplify x into x 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (+ 0 y) into y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [backup-simplify]: Simplify 0 into 0 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [taylor]: Taking taylor expansion of 1 in y 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.118 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.118 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [backup-simplify]: Simplify x into x 0.118 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.118 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [backup-simplify]: Simplify y into y 0.124 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [taylor]: Taking taylor expansion of 1 in y 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.134 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.134 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [backup-simplify]: Simplify x into x 0.134 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.134 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.135 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [backup-simplify]: Simplify y into y 0.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [taylor]: Taking taylor expansion of 1 in y 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.140 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (- 1) into -1 0.141 * [backup-simplify]: Simplify -1 into -1 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.146 * * * [progress]: simplifying candidates 0.147 * [simplify]: Simplifying: (expm1 (sqrt (+ (* x x) y))) (log1p (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (expm1 (+ (* x x) y)) (log1p (+ (* x x) y)) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.147 * * [simplify]: iteration 0: 63 enodes 0.158 * * [simplify]: iteration 1: 163 enodes 0.256 * * [simplify]: iteration 2: 738 enodes 0.719 * * [simplify]: iteration complete: 5000 enodes 0.719 * * [simplify]: Extracting #0: cost 32 inf + 0 0.721 * * [simplify]: Extracting #1: cost 432 inf + 2 0.729 * * [simplify]: Extracting #2: cost 1964 inf + 167 0.740 * * [simplify]: Extracting #3: cost 1042 inf + 5386 0.746 * * [simplify]: Extracting #4: cost 158 inf + 12281 0.762 * * [simplify]: Extracting #5: cost 5 inf + 13722 0.768 * * [simplify]: Extracting #6: cost 0 inf + 13755 0.779 * [simplify]: Simplified to: (expm1 (sqrt (fma x x y))) (log1p (sqrt (fma x x y))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (pow (sqrt (fma x x y)) 3) (fabs (cbrt (fma x x y))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) 1 (sqrt (fma x x y)) (hypot (pow y 3/2) (pow x 3)) (sqrt (fma y (- y (* x x)) (pow x 4))) (sqrt (fma (- y) y (pow x 4))) (sqrt (fma x x (- y))) 1/2 (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (expm1 (fma x x y)) (log1p (fma x x y)) (exp (fma x x y)) (log (fma x x y)) (exp (fma x x y)) (* (cbrt (fma x x y)) (cbrt (fma x x y))) (cbrt (fma x x y)) (pow (fma x x y) 3) (sqrt (fma x x y)) (sqrt (fma x x y)) (+ (pow y 3) (pow x 6)) (fma y (- y (* x x)) (pow x 4)) (fma (- y) y (pow x 4)) (fma x x (- y)) (* +nan.0 (+ (- (* x x) y) (- (pow y 2)))) (fma 1/2 (/ y x) x) (- (fma 1/2 (/ y x) x)) (fma x x y) (fma x x y) (fma x x y) 0.779 * * * [progress]: adding candidates to table 0.921 * * [progress]: iteration 2 / 4 0.921 * * * [progress]: picking best candidate 0.927 * * * * [pick]: Picked # 0.927 * * * [progress]: localizing error 0.935 * * * [progress]: generating rewritten candidates 0.935 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.935 * * * [progress]: generating series expansions 0.935 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.936 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x) 0.936 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0 0.936 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x 0.936 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.936 * [taylor]: Taking taylor expansion of 1/2 in x 0.936 * [backup-simplify]: Simplify 1/2 into 1/2 0.936 * [taylor]: Taking taylor expansion of (/ y x) in x 0.936 * [taylor]: Taking taylor expansion of y in x 0.936 * [backup-simplify]: Simplify y into y 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (/ y 1) into y 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 0.936 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.936 * [taylor]: Taking taylor expansion of 1/2 in y 0.936 * [backup-simplify]: Simplify 1/2 into 1/2 0.936 * [taylor]: Taking taylor expansion of (/ y x) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [backup-simplify]: Simplify x into x 0.936 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [backup-simplify]: Simplify x into x 0.936 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 0.936 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.936 * [taylor]: Taking taylor expansion of 1/2 in y 0.936 * [backup-simplify]: Simplify 1/2 into 1/2 0.936 * [taylor]: Taking taylor expansion of (/ y x) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [backup-simplify]: Simplify x into x 0.936 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [backup-simplify]: Simplify x into x 0.937 * [backup-simplify]: Simplify (+ 0 x) into x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 0.937 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x)) 0.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of 1/2 in x 0.937 * [backup-simplify]: Simplify 1/2 into 1/2 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (/ 1 1) into 1 0.938 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.938 * [backup-simplify]: Simplify 1/2 into 1/2 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [taylor]: Taking taylor expansion of 0 in x 0.938 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.940 * [taylor]: Taking taylor expansion of 0 in x 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [taylor]: Taking taylor expansion of 0 in x 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x))) 0.947 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x)) 0.947 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0 0.947 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x 0.948 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.948 * [taylor]: Taking taylor expansion of 1/2 in x 0.948 * [backup-simplify]: Simplify 1/2 into 1/2 0.948 * [taylor]: Taking taylor expansion of (/ x y) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [taylor]: Taking taylor expansion of y in x 0.948 * [backup-simplify]: Simplify y into y 0.948 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (/ 1 1) into 1 0.948 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 0.948 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.948 * [taylor]: Taking taylor expansion of 1/2 in y 0.948 * [backup-simplify]: Simplify 1/2 into 1/2 0.948 * [taylor]: Taking taylor expansion of (/ x y) in y 0.948 * [taylor]: Taking taylor expansion of x in y 0.948 * [backup-simplify]: Simplify x into x 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (/ x 1) into x 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [backup-simplify]: Simplify x into x 0.949 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.949 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 0.949 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.949 * [taylor]: Taking taylor expansion of 1/2 in y 0.949 * [backup-simplify]: Simplify 1/2 into 1/2 0.949 * [taylor]: Taking taylor expansion of (/ x y) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [backup-simplify]: Simplify x into x 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (/ x 1) into x 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [backup-simplify]: Simplify x into x 0.949 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.949 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.949 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 0.949 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.949 * [taylor]: Taking taylor expansion of 1/2 in x 0.949 * [backup-simplify]: Simplify 1/2 into 1/2 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.950 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (/ 1 1) into 1 0.950 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [taylor]: Taking taylor expansion of 0 in x 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.953 * [backup-simplify]: Simplify 1/2 into 1/2 0.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [taylor]: Taking taylor expansion of 0 in x 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.959 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [taylor]: Taking taylor expansion of 0 in x 0.959 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x))) 0.960 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x)) 0.960 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0 0.960 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x 0.961 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.961 * [taylor]: Taking taylor expansion of 1/2 in x 0.961 * [backup-simplify]: Simplify 1/2 into 1/2 0.961 * [taylor]: Taking taylor expansion of (/ x y) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [taylor]: Taking taylor expansion of y in x 0.961 * [backup-simplify]: Simplify y into y 0.961 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.961 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.961 * [taylor]: Taking taylor expansion of -1 in x 0.961 * [backup-simplify]: Simplify -1 into -1 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (/ -1 1) into -1 0.961 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 0.962 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.962 * [taylor]: Taking taylor expansion of 1/2 in y 0.962 * [backup-simplify]: Simplify 1/2 into 1/2 0.962 * [taylor]: Taking taylor expansion of (/ x y) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [backup-simplify]: Simplify x into x 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (/ x 1) into x 0.962 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.962 * [taylor]: Taking taylor expansion of -1 in y 0.962 * [backup-simplify]: Simplify -1 into -1 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [backup-simplify]: Simplify x into x 0.962 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.962 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 0.962 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.962 * [taylor]: Taking taylor expansion of 1/2 in y 0.962 * [backup-simplify]: Simplify 1/2 into 1/2 0.962 * [taylor]: Taking taylor expansion of (/ x y) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [backup-simplify]: Simplify x into x 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (/ x 1) into x 0.962 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.962 * [taylor]: Taking taylor expansion of -1 in y 0.962 * [backup-simplify]: Simplify -1 into -1 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [backup-simplify]: Simplify x into x 0.962 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.962 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.962 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 0.962 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.962 * [taylor]: Taking taylor expansion of 1/2 in x 0.962 * [backup-simplify]: Simplify 1/2 into 1/2 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.963 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) 0.963 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (/ 1 1) into 1 0.964 * [backup-simplify]: Simplify (- 1) into -1 0.964 * [backup-simplify]: Simplify -1 into -1 0.964 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.966 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [taylor]: Taking taylor expansion of 0 in x 0.966 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.967 * [backup-simplify]: Simplify (- 0) into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.967 * [backup-simplify]: Simplify 1/2 into 1/2 0.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.970 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.970 * [taylor]: Taking taylor expansion of 0 in x 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.971 * [backup-simplify]: Simplify (- 0) into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.974 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.974 * [backup-simplify]: Simplify (+ 0 0) into 0 0.974 * [taylor]: Taking taylor expansion of 0 in x 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (- 0) into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x))) 0.976 * * * [progress]: simplifying candidates 0.976 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (* (* (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.976 * * [simplify]: iteration 0: 16 enodes 0.978 * * [simplify]: iteration 1: 21 enodes 0.981 * * [simplify]: iteration 2: 48 enodes 0.992 * * [simplify]: iteration 3: 157 enodes 1.085 * * [simplify]: iteration 4: 692 enodes 2.713 * * [simplify]: iteration 5: 3875 enodes 4.016 * * [simplify]: iteration complete: 5000 enodes 4.016 * * [simplify]: Extracting #0: cost 10 inf + 0 4.016 * * [simplify]: Extracting #1: cost 89 inf + 0 4.024 * * [simplify]: Extracting #2: cost 649 inf + 15 4.031 * * [simplify]: Extracting #3: cost 419 inf + 3546 4.038 * * [simplify]: Extracting #4: cost 31 inf + 10187 4.045 * * [simplify]: Extracting #5: cost 0 inf + 10636 4.051 * [simplify]: Simplified to: (expm1 (fma (/ y x) 1/2 x)) (log1p (fma (/ y x) 1/2 x)) (* (/ y x) 1/2) (log (fma (/ y x) 1/2 x)) (exp (fma (/ y x) 1/2 x)) (* (cbrt (fma (/ y x) 1/2 x)) (cbrt (fma (/ y x) 1/2 x))) (cbrt (fma (/ y x) 1/2 x)) (pow (fma (/ y x) 1/2 x) 3) (sqrt (fma (/ y x) 1/2 x)) (sqrt (fma (/ y x) 1/2 x)) (fma (/ y x) 1/2 x) (fma (/ y x) 1/2 x) (fma (/ y x) 1/2 x) 4.051 * * * [progress]: adding candidates to table 4.108 * * [progress]: iteration 3 / 4 4.108 * * * [progress]: picking best candidate 4.111 * * * * [pick]: Picked # 4.111 * * * [progress]: localizing error 4.117 * * * [progress]: generating rewritten candidates 4.117 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.118 * * * [progress]: generating series expansions 4.118 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.118 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x) 4.118 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0 4.118 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x 4.118 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 4.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.118 * [taylor]: Taking taylor expansion of 1/2 in x 4.118 * [backup-simplify]: Simplify 1/2 into 1/2 4.118 * [taylor]: Taking taylor expansion of (/ y x) in x 4.118 * [taylor]: Taking taylor expansion of y in x 4.118 * [backup-simplify]: Simplify y into y 4.118 * [taylor]: Taking taylor expansion of x in x 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.118 * [backup-simplify]: Simplify (/ y 1) into y 4.118 * [taylor]: Taking taylor expansion of x in x 4.118 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 4.119 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 4.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.119 * [taylor]: Taking taylor expansion of 1/2 in y 4.119 * [backup-simplify]: Simplify 1/2 into 1/2 4.119 * [taylor]: Taking taylor expansion of (/ y x) in y 4.119 * [taylor]: Taking taylor expansion of y in y 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [taylor]: Taking taylor expansion of x in y 4.119 * [backup-simplify]: Simplify x into x 4.119 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.119 * [taylor]: Taking taylor expansion of x in y 4.119 * [backup-simplify]: Simplify x into x 4.119 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 4.119 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 4.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.119 * [taylor]: Taking taylor expansion of 1/2 in y 4.119 * [backup-simplify]: Simplify 1/2 into 1/2 4.119 * [taylor]: Taking taylor expansion of (/ y x) in y 4.119 * [taylor]: Taking taylor expansion of y in y 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [taylor]: Taking taylor expansion of x in y 4.119 * [backup-simplify]: Simplify x into x 4.120 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.120 * [taylor]: Taking taylor expansion of x in y 4.120 * [backup-simplify]: Simplify x into x 4.120 * [backup-simplify]: Simplify (+ 0 x) into x 4.120 * [taylor]: Taking taylor expansion of x in x 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 4.120 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x)) 4.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 4.120 * [taylor]: Taking taylor expansion of 1/2 in x 4.120 * [backup-simplify]: Simplify 1/2 into 1/2 4.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.120 * [taylor]: Taking taylor expansion of x in x 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.121 * [backup-simplify]: Simplify (/ 1 1) into 1 4.121 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.121 * [backup-simplify]: Simplify 1/2 into 1/2 4.121 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 4.122 * [backup-simplify]: Simplify (+ 0 0) into 0 4.122 * [taylor]: Taking taylor expansion of 0 in x 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.125 * [backup-simplify]: Simplify (+ 0 0) into 0 4.126 * [taylor]: Taking taylor expansion of 0 in x 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.129 * [backup-simplify]: Simplify (+ 0 0) into 0 4.129 * [taylor]: Taking taylor expansion of 0 in x 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x))) 4.132 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x)) 4.132 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0 4.132 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x 4.132 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 4.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.133 * [taylor]: Taking taylor expansion of 1/2 in x 4.133 * [backup-simplify]: Simplify 1/2 into 1/2 4.133 * [taylor]: Taking taylor expansion of (/ x y) in x 4.133 * [taylor]: Taking taylor expansion of x in x 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 1 into 1 4.133 * [taylor]: Taking taylor expansion of y in x 4.133 * [backup-simplify]: Simplify y into y 4.133 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.133 * [taylor]: Taking taylor expansion of x in x 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 1 into 1 4.133 * [backup-simplify]: Simplify (/ 1 1) into 1 4.133 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 4.133 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 4.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.134 * [taylor]: Taking taylor expansion of 1/2 in y 4.134 * [backup-simplify]: Simplify 1/2 into 1/2 4.134 * [taylor]: Taking taylor expansion of (/ x y) in y 4.134 * [taylor]: Taking taylor expansion of x in y 4.134 * [backup-simplify]: Simplify x into x 4.134 * [taylor]: Taking taylor expansion of y in y 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (/ x 1) into x 4.134 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.134 * [taylor]: Taking taylor expansion of x in y 4.134 * [backup-simplify]: Simplify x into x 4.134 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.134 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 4.134 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 4.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.134 * [taylor]: Taking taylor expansion of 1/2 in y 4.134 * [backup-simplify]: Simplify 1/2 into 1/2 4.134 * [taylor]: Taking taylor expansion of (/ x y) in y 4.134 * [taylor]: Taking taylor expansion of x in y 4.134 * [backup-simplify]: Simplify x into x 4.134 * [taylor]: Taking taylor expansion of y in y 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (/ x 1) into x 4.134 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.134 * [taylor]: Taking taylor expansion of x in y 4.135 * [backup-simplify]: Simplify x into x 4.135 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.135 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.135 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 4.135 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.135 * [taylor]: Taking taylor expansion of 1/2 in x 4.135 * [backup-simplify]: Simplify 1/2 into 1/2 4.135 * [taylor]: Taking taylor expansion of x in x 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.136 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 4.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.137 * [taylor]: Taking taylor expansion of x in x 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (/ 1 1) into 1 4.137 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.139 * [backup-simplify]: Simplify (+ 0 0) into 0 4.139 * [taylor]: Taking taylor expansion of 0 in x 4.139 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.140 * [backup-simplify]: Simplify 1/2 into 1/2 4.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.143 * [backup-simplify]: Simplify (+ 0 0) into 0 4.143 * [taylor]: Taking taylor expansion of 0 in x 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.144 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.149 * [taylor]: Taking taylor expansion of 0 in x 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x))) 4.151 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x)) 4.151 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0 4.151 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x 4.151 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 4.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.151 * [taylor]: Taking taylor expansion of 1/2 in x 4.151 * [backup-simplify]: Simplify 1/2 into 1/2 4.151 * [taylor]: Taking taylor expansion of (/ x y) in x 4.151 * [taylor]: Taking taylor expansion of x in x 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [taylor]: Taking taylor expansion of y in x 4.151 * [backup-simplify]: Simplify y into y 4.151 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.151 * [taylor]: Taking taylor expansion of -1 in x 4.151 * [backup-simplify]: Simplify -1 into -1 4.151 * [taylor]: Taking taylor expansion of x in x 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (/ -1 1) into -1 4.152 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 4.152 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 4.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.152 * [taylor]: Taking taylor expansion of 1/2 in y 4.152 * [backup-simplify]: Simplify 1/2 into 1/2 4.152 * [taylor]: Taking taylor expansion of (/ x y) in y 4.152 * [taylor]: Taking taylor expansion of x in y 4.152 * [backup-simplify]: Simplify x into x 4.152 * [taylor]: Taking taylor expansion of y in y 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (/ x 1) into x 4.152 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.152 * [taylor]: Taking taylor expansion of -1 in y 4.152 * [backup-simplify]: Simplify -1 into -1 4.152 * [taylor]: Taking taylor expansion of x in y 4.152 * [backup-simplify]: Simplify x into x 4.152 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 4.152 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 4.152 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 4.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.153 * [taylor]: Taking taylor expansion of 1/2 in y 4.153 * [backup-simplify]: Simplify 1/2 into 1/2 4.153 * [taylor]: Taking taylor expansion of (/ x y) in y 4.153 * [taylor]: Taking taylor expansion of x in y 4.153 * [backup-simplify]: Simplify x into x 4.153 * [taylor]: Taking taylor expansion of y in y 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.153 * [backup-simplify]: Simplify (/ x 1) into x 4.153 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.153 * [taylor]: Taking taylor expansion of -1 in y 4.153 * [backup-simplify]: Simplify -1 into -1 4.153 * [taylor]: Taking taylor expansion of x in y 4.153 * [backup-simplify]: Simplify x into x 4.153 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 4.153 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.153 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 4.153 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.153 * [taylor]: Taking taylor expansion of 1/2 in x 4.153 * [backup-simplify]: Simplify 1/2 into 1/2 4.153 * [taylor]: Taking taylor expansion of x in x 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.155 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) 4.155 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.155 * [taylor]: Taking taylor expansion of x in x 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (/ 1 1) into 1 4.155 * [backup-simplify]: Simplify (- 1) into -1 4.156 * [backup-simplify]: Simplify -1 into -1 4.156 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.156 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.158 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 4.158 * [backup-simplify]: Simplify (+ 0 0) into 0 4.159 * [taylor]: Taking taylor expansion of 0 in x 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (- 0) into 0 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.160 * [backup-simplify]: Simplify 1/2 into 1/2 4.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.163 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.164 * [backup-simplify]: Simplify (+ 0 0) into 0 4.164 * [taylor]: Taking taylor expansion of 0 in x 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (- 0) into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.166 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.170 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.170 * [backup-simplify]: Simplify (+ 0 0) into 0 4.170 * [taylor]: Taking taylor expansion of 0 in x 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (- 0) into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x))) 4.172 * * * [progress]: simplifying candidates 4.173 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (* (* (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 4.173 * * [simplify]: iteration 0: 16 enodes 4.176 * * [simplify]: iteration 1: 21 enodes 4.181 * * [simplify]: iteration 2: 48 enodes 4.192 * * [simplify]: iteration 3: 157 enodes 4.262 * * [simplify]: iteration 4: 692 enodes 5.611 * * [simplify]: iteration 5: 3875 enodes 6.868 * * [simplify]: iteration complete: 5000 enodes 6.868 * * [simplify]: Extracting #0: cost 10 inf + 0 6.868 * * [simplify]: Extracting #1: cost 89 inf + 0 6.871 * * [simplify]: Extracting #2: cost 649 inf + 15 6.877 * * [simplify]: Extracting #3: cost 419 inf + 3546 6.884 * * [simplify]: Extracting #4: cost 31 inf + 10187 6.890 * * [simplify]: Extracting #5: cost 0 inf + 10636 6.897 * [simplify]: Simplified to: (expm1 (fma (/ y x) 1/2 x)) (log1p (fma (/ y x) 1/2 x)) (* (/ y x) 1/2) (log (fma (/ y x) 1/2 x)) (exp (fma (/ y x) 1/2 x)) (* (cbrt (fma (/ y x) 1/2 x)) (cbrt (fma (/ y x) 1/2 x))) (cbrt (fma (/ y x) 1/2 x)) (pow (fma (/ y x) 1/2 x) 3) (sqrt (fma (/ y x) 1/2 x)) (sqrt (fma (/ y x) 1/2 x)) (fma (/ y x) 1/2 x) (fma (/ y x) 1/2 x) (fma (/ y x) 1/2 x) 6.897 * * * [progress]: adding candidates to table 6.951 * [progress]: [Phase 3 of 3] Extracting. 6.951 * * [regime]: Finding splitpoints for: (# # #) 6.951 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 6.951 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 7.000 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 7.032 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 7.091 * * * * [regimes]: Trying to branch on y from (# # #) 7.178 * * * * [regimes]: Trying to branch on x from (# # #) 7.222 * * * [regime]: Found split indices: #