17.866 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.019 * * [simplify]: Extracting # 1 : cost 0 0.019 * * [simplify]: Extracting # 2 : cost 0 0.019 * * [simplify]: Extracting # 3 : cost 0 0.019 * * [simplify]: Extracting # 4 : cost 0 0.019 * * [simplify]: Extracting # 5 : cost 0 0.019 * * [simplify]: Extracting # 6 : cost 0 0.019 * * [simplify]: iteration 0 : 9 enodes (cost 12 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.021 * * [simplify]: iteration 1 : 14 enodes (cost 11 ) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: iteration 2 : 24 enodes (cost 10 ) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: Extracting # 1 : cost 0 0.028 * * [simplify]: iteration 3 : 30 enodes (cost 10 ) 0.032 * * [simplify]: Extracting # 0 : cost 0 0.032 * * [simplify]: iteration done: 30 enodes (cost 10 ) 0.032 * [simplify]: Simplified to: (sqrt (fma z z (fma x x (* y y)))) 0.039 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.052 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 3) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.053 * [backup-simplify]: Simplify (sqrt (fma z z (fma x x (* y y)))) into (sqrt (fma z z (fma x x (pow y 2)))) 0.053 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in (z x y) around 0 0.053 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y 0.053 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y 0.053 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.053 * [taylor]: Taking taylor expansion of (* z z) in y 0.053 * [taylor]: Taking taylor expansion of z in y 0.053 * [backup-simplify]: Simplify z into z 0.053 * [taylor]: Taking taylor expansion of z in y 0.053 * [backup-simplify]: Simplify z into z 0.053 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.053 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.053 * [taylor]: Taking taylor expansion of (* x x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.054 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.054 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.054 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2)) 0.054 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.054 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.054 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.055 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x 0.055 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x 0.055 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.055 * [taylor]: Taking taylor expansion of (* z z) in x 0.055 * [taylor]: Taking taylor expansion of z in x 0.055 * [backup-simplify]: Simplify z into z 0.055 * [taylor]: Taking taylor expansion of z in x 0.055 * [backup-simplify]: Simplify z into z 0.055 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.055 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.055 * [taylor]: Taking taylor expansion of (* x x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [backup-simplify]: Simplify y into y 0.056 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.056 * [backup-simplify]: Simplify (* 0 0) into 0 0.056 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.056 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.056 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2)) 0.056 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.057 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.057 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.057 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z 0.058 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z 0.058 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.058 * [taylor]: Taking taylor expansion of (* z z) in z 0.058 * [taylor]: Taking taylor expansion of z in z 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of z in z 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z 0.058 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.058 * [taylor]: Taking taylor expansion of (* x x) in z 0.058 * [taylor]: Taking taylor expansion of x in z 0.058 * [backup-simplify]: Simplify x into x 0.058 * [taylor]: Taking taylor expansion of x in z 0.058 * [backup-simplify]: Simplify x into x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.058 * [taylor]: Taking taylor expansion of y in z 0.058 * [backup-simplify]: Simplify y into y 0.059 * [backup-simplify]: Simplify (* 0 0) into 0 0.059 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.059 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.059 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.059 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2)) 0.059 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.060 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.060 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.060 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z 0.061 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z 0.061 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.061 * [taylor]: Taking taylor expansion of (* z z) in z 0.061 * [taylor]: Taking taylor expansion of z in z 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of z in z 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z 0.061 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.061 * [taylor]: Taking taylor expansion of (* x x) in z 0.061 * [taylor]: Taking taylor expansion of x in z 0.061 * [backup-simplify]: Simplify x into x 0.061 * [taylor]: Taking taylor expansion of x in z 0.061 * [backup-simplify]: Simplify x into x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.061 * [taylor]: Taking taylor expansion of y in z 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (* 0 0) into 0 0.061 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.061 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.062 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.062 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2)) 0.062 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.062 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.062 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.062 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.064 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.064 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.064 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [taylor]: Taking taylor expansion of 0 in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.065 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.066 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (+ 1 0) into 1 0.067 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) 0.067 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x 0.067 * [taylor]: Taking taylor expansion of 1/2 in x 0.067 * [backup-simplify]: Simplify 1/2 into 1/2 0.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.067 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.067 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y) 0.068 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0 0.068 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.068 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.068 * [taylor]: Taking taylor expansion of 1/2 in y 0.068 * [backup-simplify]: Simplify 1/2 into 1/2 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.070 * [backup-simplify]: Simplify (+ 1 0) into 1 0.071 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.071 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.071 * [taylor]: Taking taylor expansion of 1/2 in y 0.071 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y 0.073 * [backup-simplify]: Simplify (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))))) into (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) 0.073 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in (z x y) around 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y 0.073 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y 0.073 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.073 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.073 * [taylor]: Taking taylor expansion of z in y 0.073 * [backup-simplify]: Simplify z into z 0.073 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.073 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.073 * [taylor]: Taking taylor expansion of z in y 0.073 * [backup-simplify]: Simplify z into z 0.073 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.073 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.073 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.073 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [backup-simplify]: Simplify x into x 0.073 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [backup-simplify]: Simplify x into x 0.073 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [backup-simplify]: Simplify (+ 0 1) into 1 0.074 * [backup-simplify]: Simplify (+ 0 1) into 1 0.075 * [backup-simplify]: Simplify (sqrt 1) into 1 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x 0.077 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 0.077 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.077 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.077 * [taylor]: Taking taylor expansion of z in x 0.077 * [backup-simplify]: Simplify z into z 0.077 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.077 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.077 * [taylor]: Taking taylor expansion of z in x 0.077 * [backup-simplify]: Simplify z into z 0.077 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.077 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.077 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.077 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.078 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.078 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (+ 1 0) into 1 0.079 * [backup-simplify]: Simplify (+ 0 1) into 1 0.079 * [backup-simplify]: Simplify (sqrt 1) into 1 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z 0.081 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z 0.082 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.082 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.082 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.082 * [taylor]: Taking taylor expansion of z in z 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.082 * [taylor]: Taking taylor expansion of z in z 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z 0.082 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.082 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.082 * [taylor]: Taking taylor expansion of x in z 0.082 * [backup-simplify]: Simplify x into x 0.082 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.082 * [taylor]: Taking taylor expansion of x in z 0.083 * [backup-simplify]: Simplify x into x 0.083 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.083 * [taylor]: Taking taylor expansion of y in z 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.083 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.083 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (sqrt 1) into 1 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z 0.086 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z 0.086 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.086 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.086 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.086 * [taylor]: Taking taylor expansion of z in z 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.086 * [taylor]: Taking taylor expansion of z in z 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z 0.087 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.087 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.087 * [taylor]: Taking taylor expansion of x in z 0.087 * [backup-simplify]: Simplify x into x 0.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.087 * [taylor]: Taking taylor expansion of x in z 0.087 * [backup-simplify]: Simplify x into x 0.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.087 * [taylor]: Taking taylor expansion of y in z 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.087 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.088 * [backup-simplify]: Simplify (sqrt 1) into 1 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.090 * [taylor]: Taking taylor expansion of 1 in x 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of 0 in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.092 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 0.092 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.092 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.093 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.093 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.093 * [taylor]: Taking taylor expansion of 1/2 in x 0.093 * [backup-simplify]: Simplify 1/2 into 1/2 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [backup-simplify]: Simplify y into y 0.094 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.094 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (+ 1 0) into 1 0.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 0.098 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.102 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2))) 0.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.102 * [taylor]: Taking taylor expansion of 1/2 in y 0.102 * [backup-simplify]: Simplify 1/2 into 1/2 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) 0.108 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x 0.108 * [taylor]: Taking taylor expansion of -1/2 in x 0.108 * [backup-simplify]: Simplify -1/2 into -1/2 0.108 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x 0.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.108 * [taylor]: Taking taylor expansion of 1/2 in x 0.108 * [backup-simplify]: Simplify 1/2 into 1/2 0.108 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.108 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 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 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.109 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 0.109 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.109 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x 0.109 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x 0.109 * [taylor]: Taking taylor expansion of 1/4 in x 0.109 * [backup-simplify]: Simplify 1/4 into 1/4 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x 0.110 * [taylor]: Taking taylor expansion of 1/4 in x 0.110 * [backup-simplify]: Simplify 1/4 into 1/4 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.110 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [backup-simplify]: Simplify y into y 0.110 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.110 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.110 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 0.111 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2)) 0.118 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2))) 0.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.120 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.121 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.121 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z 0.126 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- z)) (/ 1 (- z)) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))))) into (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) 0.126 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in (z x y) around 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y 0.126 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y 0.127 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.127 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.127 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.127 * [taylor]: Taking taylor expansion of -1 in y 0.127 * [backup-simplify]: Simplify -1 into -1 0.127 * [taylor]: Taking taylor expansion of z in y 0.127 * [backup-simplify]: Simplify z into z 0.127 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.127 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.127 * [taylor]: Taking taylor expansion of -1 in y 0.127 * [backup-simplify]: Simplify -1 into -1 0.127 * [taylor]: Taking taylor expansion of z in y 0.127 * [backup-simplify]: Simplify z into z 0.127 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.127 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.127 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.127 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.127 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.127 * [taylor]: Taking taylor expansion of -1 in y 0.127 * [backup-simplify]: Simplify -1 into -1 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [backup-simplify]: Simplify x into x 0.127 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.127 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.127 * [taylor]: Taking taylor expansion of -1 in y 0.127 * [backup-simplify]: Simplify -1 into -1 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [backup-simplify]: Simplify x into x 0.127 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify (+ 0 1) into 1 0.128 * [backup-simplify]: Simplify (+ 0 1) into 1 0.129 * [backup-simplify]: Simplify (sqrt 1) into 1 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.130 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x 0.130 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 0.131 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.131 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.131 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.131 * [taylor]: Taking taylor expansion of -1 in x 0.131 * [backup-simplify]: Simplify -1 into -1 0.131 * [taylor]: Taking taylor expansion of z in x 0.131 * [backup-simplify]: Simplify z into z 0.131 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.131 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.131 * [taylor]: Taking taylor expansion of -1 in x 0.131 * [backup-simplify]: Simplify -1 into -1 0.131 * [taylor]: Taking taylor expansion of z in x 0.131 * [backup-simplify]: Simplify z into z 0.131 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.131 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.131 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.131 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.131 * [taylor]: Taking taylor expansion of -1 in x 0.131 * [backup-simplify]: Simplify -1 into -1 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ -1 1) into -1 0.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.132 * [taylor]: Taking taylor expansion of -1 in x 0.132 * [backup-simplify]: Simplify -1 into -1 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ -1 1) into -1 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.132 * [backup-simplify]: Simplify (* -1 -1) into 1 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [backup-simplify]: Simplify (+ 0 1) into 1 0.133 * [backup-simplify]: Simplify (sqrt 1) into 1 0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.136 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z 0.136 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z 0.136 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.136 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.136 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.136 * [taylor]: Taking taylor expansion of -1 in z 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [taylor]: Taking taylor expansion of z in z 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 0.136 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.136 * [taylor]: Taking taylor expansion of -1 in z 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [taylor]: Taking taylor expansion of z in z 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ -1 1) into -1 0.137 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z 0.137 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.137 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.137 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.137 * [taylor]: Taking taylor expansion of -1 in z 0.137 * [backup-simplify]: Simplify -1 into -1 0.137 * [taylor]: Taking taylor expansion of x in z 0.137 * [backup-simplify]: Simplify x into x 0.137 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.137 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.137 * [taylor]: Taking taylor expansion of -1 in z 0.137 * [backup-simplify]: Simplify -1 into -1 0.137 * [taylor]: Taking taylor expansion of x in z 0.137 * [backup-simplify]: Simplify x into x 0.137 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.137 * [taylor]: Taking taylor expansion of y in z 0.137 * [backup-simplify]: Simplify y into y 0.137 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.137 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.137 * [backup-simplify]: Simplify (* -1 -1) into 1 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (sqrt 1) into 1 0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z 0.143 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z 0.143 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.143 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.143 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.143 * [taylor]: Taking taylor expansion of -1 in z 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of z in z 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ -1 1) into -1 0.144 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.144 * [taylor]: Taking taylor expansion of -1 in z 0.144 * [backup-simplify]: Simplify -1 into -1 0.144 * [taylor]: Taking taylor expansion of z in z 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ -1 1) into -1 0.144 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z 0.145 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.145 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.145 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.145 * [taylor]: Taking taylor expansion of -1 in z 0.145 * [backup-simplify]: Simplify -1 into -1 0.145 * [taylor]: Taking taylor expansion of x in z 0.145 * [backup-simplify]: Simplify x into x 0.145 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.145 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.145 * [taylor]: Taking taylor expansion of -1 in z 0.145 * [backup-simplify]: Simplify -1 into -1 0.145 * [taylor]: Taking taylor expansion of x in z 0.145 * [backup-simplify]: Simplify x into x 0.145 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.145 * [taylor]: Taking taylor expansion of y in z 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.145 * [backup-simplify]: Simplify (* -1 -1) into 1 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify (sqrt 1) into 1 0.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.148 * [taylor]: Taking taylor expansion of 1 in x 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of 0 in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.150 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 0.150 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.151 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.152 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.152 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.152 * [taylor]: Taking taylor expansion of 1/2 in x 0.152 * [backup-simplify]: Simplify 1/2 into 1/2 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.153 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.153 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.157 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.157 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 0.157 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.158 * [taylor]: Taking taylor expansion of 0 in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.160 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2))) 0.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.160 * [taylor]: Taking taylor expansion of 1/2 in y 0.160 * [backup-simplify]: Simplify 1/2 into 1/2 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.164 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.164 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) 0.167 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x 0.167 * [taylor]: Taking taylor expansion of -1/2 in x 0.167 * [backup-simplify]: Simplify -1/2 into -1/2 0.167 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x 0.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.167 * [taylor]: Taking taylor expansion of 1/2 in x 0.167 * [backup-simplify]: Simplify 1/2 into 1/2 0.167 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.167 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [backup-simplify]: Simplify y into y 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.168 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 0.168 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.168 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x 0.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x 0.168 * [taylor]: Taking taylor expansion of 1/4 in x 0.168 * [backup-simplify]: Simplify 1/4 into 1/4 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x 0.169 * [taylor]: Taking taylor expansion of 1/4 in x 0.169 * [backup-simplify]: Simplify 1/4 into 1/4 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.169 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [backup-simplify]: Simplify y into y 0.169 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.169 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.169 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 0.169 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2)) 0.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2))) 0.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.179 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.179 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.180 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z) 0.185 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 3) 0.185 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2)) 0.185 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.185 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.185 * [taylor]: Taking taylor expansion of (* x x) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [backup-simplify]: Simplify x into x 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [backup-simplify]: Simplify x into x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.185 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.185 * [taylor]: Taking taylor expansion of (* x x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [backup-simplify]: Simplify y into y 0.186 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.186 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.186 * [taylor]: Taking taylor expansion of (* x x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [backup-simplify]: Simplify y into y 0.186 * [backup-simplify]: Simplify (* 0 0) into 0 0.186 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.186 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.187 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.188 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [taylor]: Taking taylor expansion of 1 in y 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.190 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.192 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.193 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) 0.193 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.193 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.193 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [backup-simplify]: Simplify x into x 0.193 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [backup-simplify]: Simplify x into x 0.193 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.194 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.194 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [backup-simplify]: Simplify y into y 0.195 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.195 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.195 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.195 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [backup-simplify]: Simplify y into y 0.196 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.196 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (+ 1 0) into 1 0.197 * [taylor]: Taking taylor expansion of 1 in y 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.207 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.209 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) 0.209 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.209 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.209 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.209 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.209 * [taylor]: Taking taylor expansion of -1 in y 0.209 * [backup-simplify]: Simplify -1 into -1 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [backup-simplify]: Simplify x into x 0.209 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.209 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.209 * [taylor]: Taking taylor expansion of -1 in y 0.209 * [backup-simplify]: Simplify -1 into -1 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [backup-simplify]: Simplify x into x 0.209 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.210 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.210 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.210 * [taylor]: Taking taylor expansion of -1 in x 0.210 * [backup-simplify]: Simplify -1 into -1 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ -1 1) into -1 0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [backup-simplify]: Simplify -1 into -1 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ -1 1) into -1 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [backup-simplify]: Simplify y into y 0.211 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.211 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.211 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.211 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [backup-simplify]: Simplify -1 into -1 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ -1 1) into -1 0.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [backup-simplify]: Simplify -1 into -1 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ -1 1) into -1 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [backup-simplify]: Simplify y into y 0.212 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.212 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.213 * [backup-simplify]: Simplify (* -1 -1) into 1 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [taylor]: Taking taylor expansion of 1 in y 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (* 1 1) into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.223 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.226 * * * [progress]: simplifying candidates 0.226 * [simplify]: Simplifying: (expm1 (sqrt (fma z z (fma x x (* y y))))) (log1p (sqrt (fma z z (fma x x (* y y))))) (log (sqrt (fma z z (fma x x (* y y))))) (exp (sqrt (fma z z (fma x x (* y y))))) (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y)))))) (cbrt (sqrt (fma z z (fma x x (* y y))))) (* (* (sqrt (fma z z (fma x x (* y y)))) (sqrt (fma z z (fma x x (* y y))))) (sqrt (fma z z (fma x x (* y y))))) (sqrt (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y)))))) (sqrt (cbrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt 1) (sqrt (fma z z (fma x x (* y y)))) (/ 1 2) (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y))) y z (* -1 z) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.227 * * [simplify]: Extracting # 0 : cost 0 0.227 * * [simplify]: Extracting # 1 : cost 0 0.227 * * [simplify]: Extracting # 2 : cost 0 0.227 * * [simplify]: Extracting # 3 : cost 0 0.227 * * [simplify]: Extracting # 4 : cost 0 0.227 * * [simplify]: Extracting # 5 : cost 0 0.227 * * [simplify]: iteration 0 : 39 enodes (cost 315 ) 0.234 * * [simplify]: Extracting # 0 : cost 0 0.235 * * [simplify]: Extracting # 1 : cost 0 0.235 * * [simplify]: Extracting # 2 : cost 0 0.235 * * [simplify]: iteration 1 : 56 enodes (cost 285 ) 0.248 * * [simplify]: Extracting # 0 : cost 0 0.248 * * [simplify]: Extracting # 1 : cost 0 0.248 * * [simplify]: Extracting # 2 : cost 0 0.248 * * [simplify]: iteration 2 : 109 enodes (cost 257 ) 0.268 * * [simplify]: Extracting # 0 : cost 0 0.268 * * [simplify]: Extracting # 1 : cost 0 0.269 * * [simplify]: Extracting # 2 : cost 0 0.269 * * [simplify]: Extracting # 3 : cost 0 0.269 * * [simplify]: Extracting # 4 : cost 0 0.270 * * [simplify]: iteration 3 : 245 enodes (cost 257 ) 0.348 * * [simplify]: Extracting # 0 : cost 0 0.349 * * [simplify]: Extracting # 1 : cost 0 0.349 * * [simplify]: Extracting # 2 : cost 0 0.349 * * [simplify]: Extracting # 3 : cost 0 0.350 * * [simplify]: Extracting # 4 : cost 0 0.350 * * [simplify]: iteration 4 : 589 enodes (cost 257 ) 0.809 * * [simplify]: Extracting # 0 : cost 0 0.816 * * [simplify]: Extracting # 1 : cost 0 0.817 * * [simplify]: Extracting # 2 : cost 0 0.819 * * [simplify]: Extracting # 3 : cost 0 0.820 * * [simplify]: Extracting # 4 : cost 0 0.822 * * [simplify]: iteration 5 : 1902 enodes (cost 257 ) 3.562 * * [simplify]: Extracting # 0 : cost 0 3.568 * * [simplify]: Extracting # 1 : cost 0 3.572 * * [simplify]: Extracting # 2 : cost 0 3.575 * * [simplify]: Extracting # 3 : cost 0 3.579 * * [simplify]: Extracting # 4 : cost 0 3.583 * * [simplify]: iteration done: 5000 enodes (cost 257 ) 3.583 * [simplify]: Simplified to: (expm1 (sqrt (fma z z (fma x x (* y y))))) (log1p (sqrt (fma z z (fma x x (* y y))))) (log (sqrt (fma z z (fma x x (* y y))))) (exp (sqrt (fma z z (fma x x (* y y))))) (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y)))))) (cbrt (sqrt (fma z z (fma x x (* y y))))) (pow (sqrt (fma z z (fma x x (* y y)))) 3) (fabs (cbrt (fma z z (fma x x (* y y))))) (sqrt (cbrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) 1 (sqrt (fma z z (fma x x (* y y)))) 1/2 (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) y z (- z) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 3.583 * * * [progress]: adding candidates to table 3.670 * * [progress]: iteration 2 / 4 3.670 * * * [progress]: picking best candidate 3.673 * * * * [pick]: Picked # 3.673 * * * [progress]: localizing error 3.674 * * * [progress]: generating rewritten candidates 3.674 * * * [progress]: generating series expansions 3.674 * * * [progress]: simplifying candidates 3.674 * [simplify]: Simplifying: 3.674 * * [simplify]: Extracting # 0 : cost 0 3.674 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 3.674 * * [simplify]: Extracting # 0 : cost 0 3.674 * * [simplify]: iteration done: 0 enodes (cost 0 ) 3.674 * [simplify]: Simplified to: 3.675 * * * [progress]: adding candidates to table 3.675 * * [progress]: iteration 3 / 4 3.675 * * * [progress]: picking best candidate 3.677 * * * * [pick]: Picked # 3.677 * * * [progress]: localizing error 3.677 * * * [progress]: generating rewritten candidates 3.678 * * * [progress]: generating series expansions 3.678 * * * [progress]: simplifying candidates 3.678 * [simplify]: Simplifying: 3.678 * * [simplify]: Extracting # 0 : cost 0 3.678 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 3.678 * * [simplify]: Extracting # 0 : cost 0 3.678 * * [simplify]: iteration done: 0 enodes (cost 0 ) 3.678 * [simplify]: Simplified to: 3.678 * * * [progress]: adding candidates to table 3.678 * * [progress]: iteration 4 / 4 3.678 * * * [progress]: picking best candidate 3.679 * * * * [pick]: Picked # 3.679 * * * [progress]: localizing error 3.681 * * * [progress]: generating rewritten candidates 3.681 * * * [progress]: generating series expansions 3.681 * * * [progress]: simplifying candidates 3.681 * [simplify]: Simplifying: 3.681 * * [simplify]: Extracting # 0 : cost 0 3.681 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 3.681 * * [simplify]: Extracting # 0 : cost 0 3.681 * * [simplify]: iteration done: 0 enodes (cost 0 ) 3.681 * [simplify]: Simplified to: 3.681 * * * [progress]: adding candidates to table 3.681 * [progress]: [Phase 3 of 3] Extracting. 3.682 * * [regime]: Finding splitpoints for: (# # # #) 3.682 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) z y x) 3.682 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 3.700 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 3.720 * * * * [regimes]: Trying to branch on z from (# # # #) 3.748 * * * * [regimes]: Trying to branch on y from (# # # #) 3.769 * * * * [regimes]: Trying to branch on x from (# # # #) 3.793 * * * [regime]: Found split indices: #