60.038 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: Extracting # 3 : cost 0 0.024 * * [simplify]: Extracting # 4 : cost 0 0.024 * * [simplify]: Extracting # 5 : cost 0 0.024 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: Extracting # 1 : cost 0 0.025 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: iteration done: 7 enodes (cost 5 ) 0.027 * [simplify]: Simplified to: (sqrt (fma x x y)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.048 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.060 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.060 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.060 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [backup-simplify]: Simplify x into x 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.060 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.060 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.060 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.061 * [backup-simplify]: Simplify (+ 0 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [backup-simplify]: Simplify (+ 0 y) into y 0.062 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [backup-simplify]: Simplify (+ 0 y) into y 0.062 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.063 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (sqrt 0) into 0 0.065 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify (+ 1 0) into 1 0.067 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.067 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.067 * [taylor]: Taking taylor expansion of 1/2 in y 0.067 * [backup-simplify]: Simplify 1/2 into 1/2 0.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (/ 1 1) into 1 0.068 * [backup-simplify]: Simplify (sqrt 0) into 0 0.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.070 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.070 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.070 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.073 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.074 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.074 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.074 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [backup-simplify]: Simplify x into x 0.074 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.074 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (/ 1 1) into 1 0.075 * [backup-simplify]: Simplify (+ 0 1) into 1 0.075 * [backup-simplify]: Simplify (sqrt 0) into 0 0.076 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (* 1 1) into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.078 * [backup-simplify]: Simplify (+ 1 0) into 1 0.078 * [backup-simplify]: Simplify (sqrt 1) into 1 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.082 * [backup-simplify]: Simplify (sqrt 1) into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.095 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.095 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.095 * [taylor]: Taking taylor expansion of 1/2 in y 0.095 * [backup-simplify]: Simplify 1/2 into 1/2 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.095 * [backup-simplify]: Simplify 1/2 into 1/2 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.100 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of -1/8 in y 0.100 * [backup-simplify]: Simplify -1/8 into -1/8 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.103 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.103 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [backup-simplify]: Simplify x into x 0.103 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.103 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 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 0.103 * [backup-simplify]: Simplify (- 1) into -1 0.104 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.104 * [backup-simplify]: Simplify (sqrt 0) into 0 0.105 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.105 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.105 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.106 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.106 * [backup-simplify]: Simplify (+ 1 0) into 1 0.106 * [backup-simplify]: Simplify (sqrt 1) into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [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 (/ 1 1) into 1 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [backup-simplify]: Simplify y into y 0.108 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [backup-simplify]: Simplify (sqrt 1) into 1 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.110 * [taylor]: Taking taylor expansion of 1 in y 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.111 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.112 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.112 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.112 * [taylor]: Taking taylor expansion of -1/2 in y 0.112 * [backup-simplify]: Simplify -1/2 into -1/2 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.113 * [backup-simplify]: Simplify -1/2 into -1/2 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.118 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of -1/8 in y 0.118 * [backup-simplify]: Simplify -1/8 into -1/8 0.118 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.120 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.120 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.120 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [backup-simplify]: Simplify x into x 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 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [backup-simplify]: Simplify (+ 0 y) into y 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 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [taylor]: Taking taylor expansion of 1 in y 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.122 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.122 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [backup-simplify]: Simplify x into x 0.123 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.123 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [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 0.125 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.125 * [taylor]: Taking taylor expansion of 1 in y 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [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 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [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)) 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.135 * [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) 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [backup-simplify]: Simplify y into y 0.137 * [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 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [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 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (- 1) 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 0.143 * [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 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.148 * * * [progress]: simplifying candidates 0.149 * [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 x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.150 * * [simplify]: Extracting # 0 : cost 0 0.150 * * [simplify]: Extracting # 1 : cost 0 0.150 * * [simplify]: Extracting # 2 : cost 0 0.150 * * [simplify]: Extracting # 3 : cost 0 0.150 * * [simplify]: Extracting # 4 : cost 0 0.151 * * [simplify]: Extracting # 5 : cost 0 0.151 * * [simplify]: Extracting # 6 : cost 0 0.151 * * [simplify]: Extracting # 7 : cost 0 0.151 * * [simplify]: Extracting # 8 : cost 0 0.151 * * [simplify]: Extracting # 9 : cost 0 0.151 * * [simplify]: Extracting # 10 : cost 0 0.151 * * [simplify]: Extracting # 11 : cost 0 0.151 * * [simplify]: iteration 0 : 63 enodes (cost 345 ) 0.175 * * [simplify]: Extracting # 0 : cost 0 0.176 * * [simplify]: Extracting # 1 : cost 0 0.176 * * [simplify]: Extracting # 2 : cost 0 0.176 * * [simplify]: Extracting # 3 : cost 0 0.177 * * [simplify]: Extracting # 4 : cost 0 0.177 * * [simplify]: iteration 1 : 151 enodes (cost 284 ) 0.249 * * [simplify]: Extracting # 0 : cost 0 0.250 * * [simplify]: Extracting # 1 : cost 0 0.250 * * [simplify]: Extracting # 2 : cost 0 0.251 * * [simplify]: Extracting # 3 : cost 0 0.252 * * [simplify]: Extracting # 4 : cost 0 0.252 * * [simplify]: iteration 2 : 391 enodes (cost 250 ) 0.478 * * [simplify]: Extracting # 0 : cost 0 0.480 * * [simplify]: Extracting # 1 : cost 0 0.481 * * [simplify]: Extracting # 2 : cost 0 0.483 * * [simplify]: Extracting # 3 : cost 0 0.484 * * [simplify]: Extracting # 4 : cost 0 0.485 * * [simplify]: iteration 3 : 983 enodes (cost 248 ) 1.377 * * [simplify]: Extracting # 0 : cost 0 1.380 * * [simplify]: Extracting # 1 : cost 0 1.382 * * [simplify]: Extracting # 2 : cost 0 1.383 * * [simplify]: Extracting # 3 : cost 0 1.385 * * [simplify]: Extracting # 4 : cost 0 1.387 * * [simplify]: iteration 4 : 2627 enodes (cost 247 ) 3.153 * * [simplify]: Extracting # 0 : cost 0 3.158 * * [simplify]: Extracting # 1 : cost 0 3.163 * * [simplify]: Extracting # 2 : cost 0 3.167 * * [simplify]: Extracting # 3 : cost 0 3.171 * * [simplify]: Extracting # 4 : cost 0 3.175 * * [simplify]: iteration done: 5000 enodes (cost 246 ) 3.176 * [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 x 3) (pow y 3/2)) (sqrt (fma y (- y (* x x)) (pow x 4))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* 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)) (- (pow x 4) (* y y)) (- (* x x) y) (* (fma y y (- (fma x x y))) +nan.0) (fma 1/2 (/ y x) x) (- (fma 1/2 (/ y x) x)) (fma x x y) (fma x x y) (fma x x y) 3.176 * * * [progress]: adding candidates to table 3.269 * * [progress]: iteration 2 / 4 3.270 * * * [progress]: picking best candidate 3.274 * * * * [pick]: Picked # 3.274 * * * [progress]: localizing error 3.283 * * * [progress]: generating rewritten candidates 3.283 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.284 * * * [progress]: generating series expansions 3.284 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.284 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x) 3.284 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0 3.284 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x 3.284 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 3.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.284 * [taylor]: Taking taylor expansion of 1/2 in x 3.284 * [backup-simplify]: Simplify 1/2 into 1/2 3.284 * [taylor]: Taking taylor expansion of (/ y x) in x 3.284 * [taylor]: Taking taylor expansion of y in x 3.284 * [backup-simplify]: Simplify y into y 3.284 * [taylor]: Taking taylor expansion of x in x 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [backup-simplify]: Simplify (/ y 1) into y 3.284 * [taylor]: Taking taylor expansion of x in x 3.284 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 3.285 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 3.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.285 * [taylor]: Taking taylor expansion of 1/2 in y 3.285 * [backup-simplify]: Simplify 1/2 into 1/2 3.285 * [taylor]: Taking taylor expansion of (/ y x) in y 3.285 * [taylor]: Taking taylor expansion of y in y 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [taylor]: Taking taylor expansion of x in y 3.285 * [backup-simplify]: Simplify x into x 3.285 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.285 * [taylor]: Taking taylor expansion of x in y 3.285 * [backup-simplify]: Simplify x into x 3.285 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 3.285 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 3.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.285 * [taylor]: Taking taylor expansion of 1/2 in y 3.285 * [backup-simplify]: Simplify 1/2 into 1/2 3.285 * [taylor]: Taking taylor expansion of (/ y x) in y 3.285 * [taylor]: Taking taylor expansion of y in y 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [taylor]: Taking taylor expansion of x in y 3.285 * [backup-simplify]: Simplify x into x 3.285 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.285 * [taylor]: Taking taylor expansion of x in y 3.285 * [backup-simplify]: Simplify x into x 3.286 * [backup-simplify]: Simplify (+ 0 x) into x 3.286 * [taylor]: Taking taylor expansion of x in x 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 3.286 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x)) 3.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 3.286 * [taylor]: Taking taylor expansion of 1/2 in x 3.286 * [backup-simplify]: Simplify 1/2 into 1/2 3.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.286 * [taylor]: Taking taylor expansion of x in x 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (/ 1 1) into 1 3.287 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.287 * [backup-simplify]: Simplify 1/2 into 1/2 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 3.288 * [backup-simplify]: Simplify (+ 0 0) into 0 3.288 * [taylor]: Taking taylor expansion of 0 in x 3.288 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 1 into 1 3.289 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.291 * [backup-simplify]: Simplify (+ 0 0) into 0 3.291 * [taylor]: Taking taylor expansion of 0 in x 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.294 * [taylor]: Taking taylor expansion of 0 in x 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x))) 3.296 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x)) 3.296 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0 3.296 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x 3.296 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 3.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.296 * [taylor]: Taking taylor expansion of 1/2 in x 3.296 * [backup-simplify]: Simplify 1/2 into 1/2 3.296 * [taylor]: Taking taylor expansion of (/ x y) in x 3.296 * [taylor]: Taking taylor expansion of x in x 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 1 into 1 3.296 * [taylor]: Taking taylor expansion of y in x 3.296 * [backup-simplify]: Simplify y into y 3.296 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.297 * [taylor]: Taking taylor expansion of x in x 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 1 into 1 3.297 * [backup-simplify]: Simplify (/ 1 1) into 1 3.297 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 3.297 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 3.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.297 * [taylor]: Taking taylor expansion of 1/2 in y 3.297 * [backup-simplify]: Simplify 1/2 into 1/2 3.297 * [taylor]: Taking taylor expansion of (/ x y) in y 3.297 * [taylor]: Taking taylor expansion of x in y 3.297 * [backup-simplify]: Simplify x into x 3.297 * [taylor]: Taking taylor expansion of y in y 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 1 into 1 3.297 * [backup-simplify]: Simplify (/ x 1) into x 3.297 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.297 * [taylor]: Taking taylor expansion of x in y 3.297 * [backup-simplify]: Simplify x into x 3.297 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.297 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 3.298 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 3.298 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.298 * [taylor]: Taking taylor expansion of 1/2 in y 3.298 * [backup-simplify]: Simplify 1/2 into 1/2 3.298 * [taylor]: Taking taylor expansion of (/ x y) in y 3.298 * [taylor]: Taking taylor expansion of x in y 3.298 * [backup-simplify]: Simplify x into x 3.298 * [taylor]: Taking taylor expansion of y in y 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify (/ x 1) into x 3.298 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.298 * [taylor]: Taking taylor expansion of x in y 3.298 * [backup-simplify]: Simplify x into x 3.298 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.298 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 3.298 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 3.298 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.298 * [taylor]: Taking taylor expansion of 1/2 in x 3.298 * [backup-simplify]: Simplify 1/2 into 1/2 3.298 * [taylor]: Taking taylor expansion of x in x 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 3.300 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 3.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.300 * [taylor]: Taking taylor expansion of x in x 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [backup-simplify]: Simplify (/ 1 1) into 1 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.300 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.303 * [backup-simplify]: Simplify (+ 0 0) into 0 3.303 * [taylor]: Taking taylor expansion of 0 in x 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.304 * [backup-simplify]: Simplify 1/2 into 1/2 3.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.307 * [backup-simplify]: Simplify (+ 0 0) into 0 3.307 * [taylor]: Taking taylor expansion of 0 in x 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.308 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.309 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.312 * [backup-simplify]: Simplify (+ 0 0) into 0 3.312 * [taylor]: Taking taylor expansion of 0 in x 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x))) 3.314 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x)) 3.314 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0 3.314 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x 3.314 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 3.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.314 * [taylor]: Taking taylor expansion of 1/2 in x 3.314 * [backup-simplify]: Simplify 1/2 into 1/2 3.314 * [taylor]: Taking taylor expansion of (/ x y) in x 3.314 * [taylor]: Taking taylor expansion of x in x 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [taylor]: Taking taylor expansion of y in x 3.314 * [backup-simplify]: Simplify y into y 3.314 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.314 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.314 * [taylor]: Taking taylor expansion of -1 in x 3.314 * [backup-simplify]: Simplify -1 into -1 3.314 * [taylor]: Taking taylor expansion of x in x 3.314 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (/ -1 1) into -1 3.315 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 3.315 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 3.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.315 * [taylor]: Taking taylor expansion of 1/2 in y 3.315 * [backup-simplify]: Simplify 1/2 into 1/2 3.315 * [taylor]: Taking taylor expansion of (/ x y) in y 3.315 * [taylor]: Taking taylor expansion of x in y 3.315 * [backup-simplify]: Simplify x into x 3.315 * [taylor]: Taking taylor expansion of y in y 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (/ x 1) into x 3.315 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.315 * [taylor]: Taking taylor expansion of -1 in y 3.315 * [backup-simplify]: Simplify -1 into -1 3.315 * [taylor]: Taking taylor expansion of x in y 3.315 * [backup-simplify]: Simplify x into x 3.315 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.316 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 3.316 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 3.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.316 * [taylor]: Taking taylor expansion of 1/2 in y 3.316 * [backup-simplify]: Simplify 1/2 into 1/2 3.316 * [taylor]: Taking taylor expansion of (/ x y) in y 3.316 * [taylor]: Taking taylor expansion of x in y 3.316 * [backup-simplify]: Simplify x into x 3.316 * [taylor]: Taking taylor expansion of y in y 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [backup-simplify]: Simplify (/ x 1) into x 3.316 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.316 * [taylor]: Taking taylor expansion of -1 in y 3.316 * [backup-simplify]: Simplify -1 into -1 3.316 * [taylor]: Taking taylor expansion of x in y 3.316 * [backup-simplify]: Simplify x into x 3.316 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.316 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 3.316 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 3.316 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.316 * [taylor]: Taking taylor expansion of 1/2 in x 3.316 * [backup-simplify]: Simplify 1/2 into 1/2 3.316 * [taylor]: Taking taylor expansion of x in x 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 3.318 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) 3.318 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.318 * [taylor]: Taking taylor expansion of x in x 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [backup-simplify]: Simplify (/ 1 1) into 1 3.318 * [backup-simplify]: Simplify (- 1) into -1 3.318 * [backup-simplify]: Simplify -1 into -1 3.319 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.321 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.321 * [taylor]: Taking taylor expansion of 0 in x 3.321 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (- 0) into 0 3.322 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.323 * [backup-simplify]: Simplify 1/2 into 1/2 3.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.325 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.326 * [backup-simplify]: Simplify (+ 0 0) into 0 3.326 * [taylor]: Taking taylor expansion of 0 in x 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (- 0) into 0 3.327 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.328 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.331 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.331 * [backup-simplify]: Simplify (+ 0 0) into 0 3.331 * [taylor]: Taking taylor expansion of 0 in x 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify (- 0) into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x))) 3.333 * * * [progress]: simplifying candidates 3.333 * [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))) 3.334 * * [simplify]: Extracting # 0 : cost 0 3.334 * * [simplify]: Extracting # 1 : cost 0 3.334 * * [simplify]: Extracting # 2 : cost 0 3.334 * * [simplify]: Extracting # 3 : cost 0 3.334 * * [simplify]: Extracting # 4 : cost 0 3.334 * * [simplify]: iteration 0 : 16 enodes (cost 110 ) 3.338 * * [simplify]: Extracting # 0 : cost 0 3.338 * * [simplify]: Extracting # 1 : cost 0 3.338 * * [simplify]: Extracting # 2 : cost 0 3.343 * * [simplify]: iteration 1 : 21 enodes (cost 107 ) 3.349 * * [simplify]: Extracting # 0 : cost 0 3.349 * * [simplify]: Extracting # 1 : cost 0 3.350 * * [simplify]: Extracting # 2 : cost 0 3.350 * * [simplify]: iteration 2 : 48 enodes (cost 95 ) 3.372 * * [simplify]: Extracting # 0 : cost 0 3.372 * * [simplify]: Extracting # 1 : cost 0 3.372 * * [simplify]: Extracting # 2 : cost 0 3.373 * * [simplify]: Extracting # 3 : cost 0 3.373 * * [simplify]: Extracting # 4 : cost 0 3.373 * * [simplify]: iteration 3 : 157 enodes (cost 95 ) 3.495 * * [simplify]: Extracting # 0 : cost 0 3.496 * * [simplify]: Extracting # 1 : cost 0 3.497 * * [simplify]: Extracting # 2 : cost 0 3.498 * * [simplify]: Extracting # 3 : cost 0 3.499 * * [simplify]: Extracting # 4 : cost 0 3.500 * * [simplify]: Extracting # 5 : cost 0 3.501 * * [simplify]: iteration 4 : 576 enodes (cost 95 ) 4.719 * * [simplify]: Extracting # 0 : cost 0 4.722 * * [simplify]: Extracting # 1 : cost 0 4.724 * * [simplify]: Extracting # 2 : cost 0 4.726 * * [simplify]: Extracting # 3 : cost 0 4.728 * * [simplify]: Extracting # 4 : cost 0 4.730 * * [simplify]: iteration 5 : 2624 enodes (cost 95 ) 6.097 * * [simplify]: Extracting # 0 : cost 0 6.104 * * [simplify]: Extracting # 1 : cost 0 6.111 * * [simplify]: Extracting # 2 : cost 0 6.121 * * [simplify]: iteration done: 5000 enodes (cost 95 ) 6.122 * [simplify]: Simplified to: (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (pow (fma 1/2 (/ y x) x) 3) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) 6.122 * * * [progress]: adding candidates to table 6.156 * * [progress]: iteration 3 / 4 6.156 * * * [progress]: picking best candidate 6.158 * * * * [pick]: Picked # 6.159 * * * [progress]: localizing error 6.169 * * * [progress]: generating rewritten candidates 6.169 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 6.170 * * * [progress]: generating series expansions 6.170 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 6.170 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x) 6.170 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0 6.170 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x 6.170 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 6.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 6.170 * [taylor]: Taking taylor expansion of 1/2 in x 6.170 * [backup-simplify]: Simplify 1/2 into 1/2 6.170 * [taylor]: Taking taylor expansion of (/ y x) in x 6.170 * [taylor]: Taking taylor expansion of y in x 6.170 * [backup-simplify]: Simplify y into y 6.170 * [taylor]: Taking taylor expansion of x in x 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify 1 into 1 6.170 * [backup-simplify]: Simplify (/ y 1) into y 6.171 * [taylor]: Taking taylor expansion of x in x 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 6.171 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 6.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 6.171 * [taylor]: Taking taylor expansion of 1/2 in y 6.171 * [backup-simplify]: Simplify 1/2 into 1/2 6.171 * [taylor]: Taking taylor expansion of (/ y x) in y 6.171 * [taylor]: Taking taylor expansion of y in y 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [taylor]: Taking taylor expansion of x in y 6.171 * [backup-simplify]: Simplify x into x 6.171 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.171 * [taylor]: Taking taylor expansion of x in y 6.171 * [backup-simplify]: Simplify x into x 6.171 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 6.171 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 6.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 6.171 * [taylor]: Taking taylor expansion of 1/2 in y 6.171 * [backup-simplify]: Simplify 1/2 into 1/2 6.171 * [taylor]: Taking taylor expansion of (/ y x) in y 6.171 * [taylor]: Taking taylor expansion of y in y 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [taylor]: Taking taylor expansion of x in y 6.171 * [backup-simplify]: Simplify x into x 6.172 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.172 * [taylor]: Taking taylor expansion of x in y 6.172 * [backup-simplify]: Simplify x into x 6.172 * [backup-simplify]: Simplify (+ 0 x) into x 6.172 * [taylor]: Taking taylor expansion of x in x 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.172 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 6.172 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x)) 6.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 6.172 * [taylor]: Taking taylor expansion of 1/2 in x 6.172 * [backup-simplify]: Simplify 1/2 into 1/2 6.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.172 * [taylor]: Taking taylor expansion of x in x 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.173 * [backup-simplify]: Simplify (/ 1 1) into 1 6.173 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.173 * [backup-simplify]: Simplify 1/2 into 1/2 6.173 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 6.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 6.174 * [backup-simplify]: Simplify (+ 0 0) into 0 6.174 * [taylor]: Taking taylor expansion of 0 in x 6.174 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify 1 into 1 6.176 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 6.177 * [backup-simplify]: Simplify (+ 0 0) into 0 6.177 * [taylor]: Taking taylor expansion of 0 in x 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify 0 into 0 6.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 6.181 * [backup-simplify]: Simplify (+ 0 0) into 0 6.181 * [taylor]: Taking taylor expansion of 0 in x 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.182 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x))) 6.183 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x)) 6.183 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0 6.183 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x 6.183 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 6.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.183 * [taylor]: Taking taylor expansion of 1/2 in x 6.183 * [backup-simplify]: Simplify 1/2 into 1/2 6.183 * [taylor]: Taking taylor expansion of (/ x y) in x 6.183 * [taylor]: Taking taylor expansion of x in x 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 1 into 1 6.183 * [taylor]: Taking taylor expansion of y in x 6.183 * [backup-simplify]: Simplify y into y 6.183 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.183 * [taylor]: Taking taylor expansion of x in x 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 1 into 1 6.184 * [backup-simplify]: Simplify (/ 1 1) into 1 6.184 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 6.184 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 6.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.184 * [taylor]: Taking taylor expansion of 1/2 in y 6.184 * [backup-simplify]: Simplify 1/2 into 1/2 6.184 * [taylor]: Taking taylor expansion of (/ x y) in y 6.184 * [taylor]: Taking taylor expansion of x in y 6.184 * [backup-simplify]: Simplify x into x 6.184 * [taylor]: Taking taylor expansion of y in y 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify 1 into 1 6.184 * [backup-simplify]: Simplify (/ x 1) into x 6.184 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.184 * [taylor]: Taking taylor expansion of x in y 6.184 * [backup-simplify]: Simplify x into x 6.184 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.184 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 6.184 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 6.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.184 * [taylor]: Taking taylor expansion of 1/2 in y 6.184 * [backup-simplify]: Simplify 1/2 into 1/2 6.184 * [taylor]: Taking taylor expansion of (/ x y) in y 6.184 * [taylor]: Taking taylor expansion of x in y 6.184 * [backup-simplify]: Simplify x into x 6.184 * [taylor]: Taking taylor expansion of y in y 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify 1 into 1 6.184 * [backup-simplify]: Simplify (/ x 1) into x 6.185 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.185 * [taylor]: Taking taylor expansion of x in y 6.185 * [backup-simplify]: Simplify x into x 6.185 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.185 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 6.185 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 6.185 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.185 * [taylor]: Taking taylor expansion of 1/2 in x 6.185 * [backup-simplify]: Simplify 1/2 into 1/2 6.185 * [taylor]: Taking taylor expansion of x in x 6.185 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify 1 into 1 6.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 6.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 6.186 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 6.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.186 * [taylor]: Taking taylor expansion of x in x 6.186 * [backup-simplify]: Simplify 0 into 0 6.186 * [backup-simplify]: Simplify 1 into 1 6.187 * [backup-simplify]: Simplify (/ 1 1) into 1 6.187 * [backup-simplify]: Simplify 1 into 1 6.187 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.187 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 6.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.189 * [backup-simplify]: Simplify (+ 0 0) into 0 6.190 * [taylor]: Taking taylor expansion of 0 in x 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.190 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.191 * [backup-simplify]: Simplify 1/2 into 1/2 6.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.194 * [backup-simplify]: Simplify (+ 0 0) into 0 6.194 * [taylor]: Taking taylor expansion of 0 in x 6.194 * [backup-simplify]: Simplify 0 into 0 6.194 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.195 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.196 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 6.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.201 * [backup-simplify]: Simplify (+ 0 0) into 0 6.201 * [taylor]: Taking taylor expansion of 0 in x 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x))) 6.202 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x)) 6.202 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0 6.202 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x 6.202 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 6.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.203 * [taylor]: Taking taylor expansion of 1/2 in x 6.203 * [backup-simplify]: Simplify 1/2 into 1/2 6.203 * [taylor]: Taking taylor expansion of (/ x y) in x 6.203 * [taylor]: Taking taylor expansion of x in x 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify 1 into 1 6.203 * [taylor]: Taking taylor expansion of y in x 6.203 * [backup-simplify]: Simplify y into y 6.203 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.203 * [taylor]: Taking taylor expansion of -1 in x 6.203 * [backup-simplify]: Simplify -1 into -1 6.203 * [taylor]: Taking taylor expansion of x in x 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify 1 into 1 6.203 * [backup-simplify]: Simplify (/ -1 1) into -1 6.203 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 6.204 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 6.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.204 * [taylor]: Taking taylor expansion of 1/2 in y 6.204 * [backup-simplify]: Simplify 1/2 into 1/2 6.204 * [taylor]: Taking taylor expansion of (/ x y) in y 6.204 * [taylor]: Taking taylor expansion of x in y 6.204 * [backup-simplify]: Simplify x into x 6.204 * [taylor]: Taking taylor expansion of y in y 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 1 into 1 6.204 * [backup-simplify]: Simplify (/ x 1) into x 6.204 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.204 * [taylor]: Taking taylor expansion of -1 in y 6.204 * [backup-simplify]: Simplify -1 into -1 6.204 * [taylor]: Taking taylor expansion of x in y 6.204 * [backup-simplify]: Simplify x into x 6.204 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.204 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 6.204 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 6.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.204 * [taylor]: Taking taylor expansion of 1/2 in y 6.204 * [backup-simplify]: Simplify 1/2 into 1/2 6.204 * [taylor]: Taking taylor expansion of (/ x y) in y 6.204 * [taylor]: Taking taylor expansion of x in y 6.204 * [backup-simplify]: Simplify x into x 6.204 * [taylor]: Taking taylor expansion of y in y 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 1 into 1 6.204 * [backup-simplify]: Simplify (/ x 1) into x 6.205 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.205 * [taylor]: Taking taylor expansion of -1 in y 6.205 * [backup-simplify]: Simplify -1 into -1 6.205 * [taylor]: Taking taylor expansion of x in y 6.205 * [backup-simplify]: Simplify x into x 6.205 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.205 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 6.205 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 6.205 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.205 * [taylor]: Taking taylor expansion of 1/2 in x 6.205 * [backup-simplify]: Simplify 1/2 into 1/2 6.205 * [taylor]: Taking taylor expansion of x in x 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 6.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 6.206 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) 6.206 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 6.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.206 * [taylor]: Taking taylor expansion of x in x 6.207 * [backup-simplify]: Simplify 0 into 0 6.207 * [backup-simplify]: Simplify 1 into 1 6.207 * [backup-simplify]: Simplify (/ 1 1) into 1 6.207 * [backup-simplify]: Simplify (- 1) into -1 6.207 * [backup-simplify]: Simplify -1 into -1 6.208 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.208 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 6.210 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 6.210 * [backup-simplify]: Simplify (+ 0 0) into 0 6.210 * [taylor]: Taking taylor expansion of 0 in x 6.210 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.211 * [backup-simplify]: Simplify (- 0) into 0 6.211 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.212 * [backup-simplify]: Simplify 1/2 into 1/2 6.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.215 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.215 * [backup-simplify]: Simplify (+ 0 0) into 0 6.215 * [taylor]: Taking taylor expansion of 0 in x 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.216 * [backup-simplify]: Simplify (- 0) into 0 6.216 * [backup-simplify]: Simplify 0 into 0 6.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.217 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 6.221 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.221 * [backup-simplify]: Simplify (+ 0 0) into 0 6.221 * [taylor]: Taking taylor expansion of 0 in x 6.221 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.223 * [backup-simplify]: Simplify (- 0) into 0 6.223 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x))) 6.223 * * * [progress]: simplifying candidates 6.224 * [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))) 6.224 * * [simplify]: Extracting # 0 : cost 0 6.224 * * [simplify]: Extracting # 1 : cost 0 6.224 * * [simplify]: Extracting # 2 : cost 0 6.224 * * [simplify]: Extracting # 3 : cost 0 6.224 * * [simplify]: Extracting # 4 : cost 0 6.224 * * [simplify]: iteration 0 : 16 enodes (cost 110 ) 6.229 * * [simplify]: Extracting # 0 : cost 0 6.229 * * [simplify]: Extracting # 1 : cost 0 6.229 * * [simplify]: Extracting # 2 : cost 0 6.229 * * [simplify]: iteration 1 : 21 enodes (cost 107 ) 6.243 * * [simplify]: Extracting # 0 : cost 0 6.243 * * [simplify]: Extracting # 1 : cost 0 6.243 * * [simplify]: Extracting # 2 : cost 0 6.243 * * [simplify]: iteration 2 : 48 enodes (cost 95 ) 6.270 * * [simplify]: Extracting # 0 : cost 0 6.271 * * [simplify]: Extracting # 1 : cost 0 6.271 * * [simplify]: Extracting # 2 : cost 0 6.271 * * [simplify]: Extracting # 3 : cost 0 6.271 * * [simplify]: Extracting # 4 : cost 0 6.272 * * [simplify]: iteration 3 : 157 enodes (cost 95 ) 6.399 * * [simplify]: Extracting # 0 : cost 0 6.400 * * [simplify]: Extracting # 1 : cost 0 6.401 * * [simplify]: Extracting # 2 : cost 0 6.402 * * [simplify]: Extracting # 3 : cost 0 6.403 * * [simplify]: Extracting # 4 : cost 0 6.404 * * [simplify]: Extracting # 5 : cost 0 6.405 * * [simplify]: iteration 4 : 576 enodes (cost 95 ) 7.325 * * [simplify]: Extracting # 0 : cost 0 7.331 * * [simplify]: Extracting # 1 : cost 0 7.335 * * [simplify]: Extracting # 2 : cost 0 7.337 * * [simplify]: Extracting # 3 : cost 0 7.339 * * [simplify]: Extracting # 4 : cost 0 7.341 * * [simplify]: iteration 5 : 2624 enodes (cost 95 ) 8.960 * * [simplify]: Extracting # 0 : cost 0 8.969 * * [simplify]: Extracting # 1 : cost 0 8.976 * * [simplify]: Extracting # 2 : cost 0 8.983 * * [simplify]: iteration done: 5000 enodes (cost 95 ) 8.983 * [simplify]: Simplified to: (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (pow (fma 1/2 (/ y x) x) 3) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) 8.983 * * * [progress]: adding candidates to table 9.008 * [progress]: [Phase 3 of 3] Extracting. 9.009 * * [regime]: Finding splitpoints for: (# # #) 9.009 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 9.009 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 9.042 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 9.082 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 9.107 * * * * [regimes]: Trying to branch on y from (# # #) 9.138 * * * * [regimes]: Trying to branch on x from (# # #) 9.185 * * * [regime]: Found split indices: #