22.220 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: Extracting # 1 : cost 0 0.027 * * [simplify]: Extracting # 2 : cost 0 0.027 * * [simplify]: Extracting # 3 : cost 0 0.027 * * [simplify]: Extracting # 4 : cost 0 0.027 * * [simplify]: Extracting # 5 : cost 0 0.027 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: Extracting # 1 : cost 0 0.028 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: iteration done: 7 enodes (cost 5 ) 0.029 * [simplify]: Simplified to: (sqrt (fma x x y)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.040 * [backup-simplify]: Simplify (sqrt (fma x x y)) into (sqrt (fma x x y)) 0.040 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 0.040 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.040 * [taylor]: Rewrote expression to (+ (* x x) y) 0.040 * [taylor]: Taking taylor expansion of (* x x) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [backup-simplify]: Simplify x into x 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [backup-simplify]: Simplify x into x 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.041 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.041 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.041 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.041 * [backup-simplify]: Simplify (+ 0 1) into 1 0.041 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.041 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.041 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.041 * [taylor]: Rewrote expression to (+ (* x x) y) 0.041 * [taylor]: Taking taylor expansion of (* x x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [backup-simplify]: Simplify y into y 0.042 * [backup-simplify]: Simplify (* 0 0) into 0 0.042 * [backup-simplify]: Simplify (+ 0 y) into y 0.042 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.043 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.043 * [backup-simplify]: Simplify (+ 0 0) into 0 0.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.043 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.043 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.043 * [taylor]: Rewrote expression to (+ (* x x) y) 0.043 * [taylor]: Taking taylor expansion of (* x x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [backup-simplify]: Simplify y into y 0.044 * [backup-simplify]: Simplify (* 0 0) into 0 0.044 * [backup-simplify]: Simplify (+ 0 y) into y 0.044 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.044 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.045 * [backup-simplify]: Simplify (+ 0 0) into 0 0.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.045 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (sqrt 0) into 0 0.046 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.047 * [backup-simplify]: Simplify (+ 1 0) into 1 0.048 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.048 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.048 * [taylor]: Taking taylor expansion of 1/2 in y 0.048 * [backup-simplify]: Simplify 1/2 into 1/2 0.048 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (/ 1 1) into 1 0.049 * [backup-simplify]: Simplify (sqrt 0) into 0 0.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.051 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.051 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.051 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.053 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.054 * [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)))))) 0.054 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) into (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) 0.054 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.054 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.054 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.054 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [backup-simplify]: Simplify x into x 0.055 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [backup-simplify]: Simplify x into x 0.055 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [backup-simplify]: Simplify (+ 0 1) into 1 0.056 * [backup-simplify]: Simplify (sqrt 0) into 0 0.057 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.057 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.057 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.057 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.057 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (+ 1 0) into 1 0.059 * [backup-simplify]: Simplify (sqrt 1) into 1 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.061 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.061 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.061 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.062 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.062 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (+ 1 0) into 1 0.063 * [backup-simplify]: Simplify (sqrt 1) into 1 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.075 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.076 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.076 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.076 * [taylor]: Taking taylor expansion of 1/2 in y 0.076 * [backup-simplify]: Simplify 1/2 into 1/2 0.076 * [taylor]: Taking taylor expansion of y in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.077 * [backup-simplify]: Simplify 1/2 into 1/2 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.085 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of -1/8 in y 0.085 * [backup-simplify]: Simplify -1/8 into -1/8 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.087 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) 0.087 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.088 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.088 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.088 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.088 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.088 * [taylor]: Taking taylor expansion of -1 in y 0.088 * [backup-simplify]: Simplify -1 into -1 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [backup-simplify]: Simplify x into x 0.088 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.088 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.088 * [taylor]: Taking taylor expansion of -1 in y 0.088 * [backup-simplify]: Simplify -1 into -1 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [backup-simplify]: Simplify x into x 0.088 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.088 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.088 * [taylor]: Taking taylor expansion of -1 in y 0.088 * [backup-simplify]: Simplify -1 into -1 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ -1 1) into -1 0.089 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.089 * [backup-simplify]: Simplify (sqrt 0) into 0 0.090 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.090 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.090 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.090 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.090 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.091 * [taylor]: Taking taylor expansion of -1 in x 0.091 * [backup-simplify]: Simplify -1 into -1 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ -1 1) into -1 0.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.091 * [taylor]: Taking taylor expansion of -1 in x 0.091 * [backup-simplify]: Simplify -1 into -1 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ -1 1) into -1 0.091 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.091 * [taylor]: Taking taylor expansion of -1 in x 0.091 * [backup-simplify]: Simplify -1 into -1 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.092 * [backup-simplify]: Simplify (* -1 -1) into 1 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [backup-simplify]: Simplify (sqrt 1) into 1 0.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.095 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.095 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.095 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.095 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.095 * [taylor]: Taking taylor expansion of -1 in x 0.095 * [backup-simplify]: Simplify -1 into -1 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ -1 1) into -1 0.096 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.096 * [taylor]: Taking taylor expansion of -1 in x 0.096 * [backup-simplify]: Simplify -1 into -1 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ -1 1) into -1 0.096 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.096 * [taylor]: Taking taylor expansion of -1 in x 0.096 * [backup-simplify]: Simplify -1 into -1 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.097 * [backup-simplify]: Simplify (* -1 -1) into 1 0.097 * [backup-simplify]: Simplify (+ 1 0) into 1 0.097 * [backup-simplify]: Simplify (sqrt 1) into 1 0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.100 * [taylor]: Taking taylor expansion of 1 in y 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 (/ -1 y)) into (- (/ 1 y)) 0.103 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.103 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.103 * [taylor]: Taking taylor expansion of -1/2 in y 0.103 * [backup-simplify]: Simplify -1/2 into -1/2 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.104 * [backup-simplify]: Simplify -1/2 into -1/2 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.111 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.112 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of -1/8 in y 0.112 * [backup-simplify]: Simplify -1/8 into -1/8 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.114 * * * [progress]: simplifying candidates 0.115 * [simplify]: Simplifying: (expm1 (sqrt (fma x x y))) (log1p (sqrt (fma x x y))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (* (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (fma x x y))) (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y)))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt 1) (sqrt (fma x x y)) (/ 1 2) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.115 * * [simplify]: Extracting # 0 : cost 0 0.115 * * [simplify]: Extracting # 1 : cost 0 0.116 * * [simplify]: Extracting # 2 : cost 0 0.116 * * [simplify]: Extracting # 3 : cost 0 0.116 * * [simplify]: Extracting # 4 : cost 0 0.116 * * [simplify]: Extracting # 5 : cost 0 0.116 * * [simplify]: Extracting # 6 : cost 0 0.116 * * [simplify]: Extracting # 7 : cost 0 0.116 * * [simplify]: Extracting # 8 : cost 0 0.116 * * [simplify]: Extracting # 9 : cost 0 0.116 * * [simplify]: Extracting # 10 : cost 0 0.116 * * [simplify]: iteration 0 : 37 enodes (cost 145 ) 0.127 * * [simplify]: Extracting # 0 : cost 0 0.127 * * [simplify]: Extracting # 1 : cost 0 0.127 * * [simplify]: Extracting # 2 : cost 0 0.127 * * [simplify]: Extracting # 3 : cost 0 0.127 * * [simplify]: iteration 1 : 76 enodes (cost 127 ) 0.152 * * [simplify]: Extracting # 0 : cost 0 0.153 * * [simplify]: Extracting # 1 : cost 0 0.153 * * [simplify]: Extracting # 2 : cost 0 0.153 * * [simplify]: Extracting # 3 : cost 0 0.154 * * [simplify]: iteration 2 : 210 enodes (cost 120 ) 0.308 * * [simplify]: Extracting # 0 : cost 0 0.309 * * [simplify]: Extracting # 1 : cost 0 0.311 * * [simplify]: Extracting # 2 : cost 0 0.312 * * [simplify]: Extracting # 3 : cost 0 0.313 * * [simplify]: Extracting # 4 : cost 0 0.314 * * [simplify]: iteration 3 : 956 enodes (cost 118 ) 1.006 * * [simplify]: Extracting # 0 : cost 0 1.024 * * [simplify]: Extracting # 1 : cost 0 1.031 * * [simplify]: Extracting # 2 : cost 0 1.038 * * [simplify]: Extracting # 3 : cost 0 1.044 * * [simplify]: Extracting # 4 : cost 0 1.051 * * [simplify]: iteration done: 5001 enodes (cost 117 ) 1.051 * [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)) 1/2 (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (* +nan.0 (fma (- x) x (- (pow y 2) y))) (fma (/ y x) 1/2 x) (- (fma (/ y x) 1/2 x)) 1.051 * * * [progress]: adding candidates to table 1.115 * * [progress]: iteration 2 / 4 1.115 * * * [progress]: picking best candidate 1.119 * * * * [pick]: Picked # 1.119 * * * [progress]: localizing error 1.127 * * * [progress]: generating rewritten candidates 1.127 * * * [progress]: generating series expansions 1.127 * * * [progress]: simplifying candidates 1.127 * [simplify]: Simplifying: 1.128 * * [simplify]: Extracting # 0 : cost 0 1.128 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.128 * * [simplify]: Extracting # 0 : cost 0 1.128 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.128 * [simplify]: Simplified to: 1.128 * * * [progress]: adding candidates to table 1.128 * * [progress]: iteration 3 / 4 1.128 * * * [progress]: picking best candidate 1.131 * * * * [pick]: Picked # 1.131 * * * [progress]: localizing error 1.140 * * * [progress]: generating rewritten candidates 1.140 * * * [progress]: generating series expansions 1.140 * * * [progress]: simplifying candidates 1.140 * [simplify]: Simplifying: 1.140 * * [simplify]: Extracting # 0 : cost 0 1.140 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.140 * * [simplify]: Extracting # 0 : cost 0 1.140 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.140 * [simplify]: Simplified to: 1.140 * * * [progress]: adding candidates to table 1.141 * [progress]: [Phase 3 of 3] Extracting. 1.141 * * [regime]: Finding splitpoints for: (# # #) 1.141 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.141 * * * * [regimes]: Trying to branch on y from (# # #) 1.191 * * * * [regimes]: Trying to branch on x from (# # #) 1.227 * * * [regime]: Found split indices: #