13.463 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.014 * * [simplify]: Extracting # 0 : cost 0 0.014 * * [simplify]: Extracting # 1 : cost 0 0.014 * * [simplify]: Extracting # 2 : cost 0 0.014 * * [simplify]: Extracting # 3 : cost 0 0.014 * * [simplify]: Extracting # 4 : cost 0 0.014 * * [simplify]: Extracting # 5 : cost 0 0.014 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.015 * * [simplify]: Extracting # 0 : cost 0 0.015 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.016 * * [simplify]: Extracting # 0 : cost 0 0.016 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.017 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.031 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.040 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.040 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.040 * [taylor]: Taking taylor expansion of (pow x 2) 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 (pow y 2) in y 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) 0.040 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.040 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.040 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.041 * [backup-simplify]: Simplify (+ 0 0) into 0 0.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [backup-simplify]: Simplify y into y 0.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.041 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.041 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.041 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.041 * [backup-simplify]: Simplify (+ 0 0) into 0 0.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.042 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [backup-simplify]: Simplify y into y 0.042 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.042 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.042 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.042 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.042 * [backup-simplify]: Simplify (+ 0 0) into 0 0.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify (* 1 1) into 1 0.043 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.043 * [backup-simplify]: Simplify (+ 1 0) into 1 0.044 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.044 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.044 * [taylor]: Taking taylor expansion of 1/2 in y 0.044 * [backup-simplify]: Simplify 1/2 into 1/2 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.045 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.046 * [backup-simplify]: Simplify (+ 0 0) into 0 0.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.047 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [backup-simplify]: Simplify x into x 0.047 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.047 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify (* 1 1) into 1 0.047 * [backup-simplify]: Simplify (/ 1 1) into 1 0.048 * [backup-simplify]: Simplify (+ 0 1) into 1 0.048 * [backup-simplify]: Simplify (sqrt 1) into 1 0.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.050 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.050 * [backup-simplify]: Simplify (+ 1 0) into 1 0.051 * [backup-simplify]: Simplify (sqrt 1) into 1 0.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [backup-simplify]: Simplify y into y 0.053 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.053 * [backup-simplify]: Simplify (+ 1 0) into 1 0.053 * [backup-simplify]: Simplify (sqrt 1) into 1 0.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.057 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.057 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.057 * [taylor]: Taking taylor expansion of 1/2 in y 0.057 * [backup-simplify]: Simplify 1/2 into 1/2 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.061 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.061 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [backup-simplify]: Simplify x into x 0.061 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.062 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [backup-simplify]: Simplify (+ 0 1) into 1 0.063 * [backup-simplify]: Simplify (sqrt 1) into 1 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (* 1 1) into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.065 * [backup-simplify]: Simplify (+ 1 0) into 1 0.065 * [backup-simplify]: Simplify (sqrt 1) into 1 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.067 * [backup-simplify]: Simplify (/ 1 1) into 1 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 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) 0.068 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.068 * [backup-simplify]: Simplify (+ 1 0) into 1 0.068 * [backup-simplify]: Simplify (sqrt 1) into 1 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.071 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.072 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of 1/2 in y 0.072 * [backup-simplify]: Simplify 1/2 into 1/2 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (* 1 1) into 1 0.072 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.080 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.080 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.080 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [backup-simplify]: Simplify x into x 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [backup-simplify]: Simplify y into y 0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [backup-simplify]: Simplify y into y 0.080 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.080 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.082 * [backup-simplify]: Simplify (+ 1 0) into 1 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.085 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.085 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.085 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [backup-simplify]: Simplify x into x 0.085 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.086 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 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 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.087 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.088 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.088 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.096 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.096 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [backup-simplify]: Simplify x into x 0.097 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.097 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (* 1 1) into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [backup-simplify]: Simplify y into y 0.098 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.098 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (* 1 1) into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.099 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.099 * [backup-simplify]: Simplify (+ 1 0) into 1 0.099 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 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)) 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.107 * * * [progress]: simplifying candidates 0.108 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.108 * * [simplify]: Extracting # 0 : cost 0 0.109 * * [simplify]: Extracting # 1 : cost 0 0.109 * * [simplify]: Extracting # 2 : cost 0 0.109 * * [simplify]: Extracting # 3 : cost 0 0.109 * * [simplify]: Extracting # 4 : cost 0 0.109 * * [simplify]: Extracting # 5 : cost 0 0.109 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.120 * * [simplify]: Extracting # 0 : cost 0 0.120 * * [simplify]: Extracting # 1 : cost 0 0.120 * * [simplify]: Extracting # 2 : cost 0 0.120 * * [simplify]: Extracting # 3 : cost 0 0.121 * * [simplify]: Extracting # 4 : cost 0 0.121 * * [simplify]: iteration 1 : 124 enodes (cost 347 ) 0.164 * * [simplify]: Extracting # 0 : cost 0 0.164 * * [simplify]: Extracting # 1 : cost 0 0.165 * * [simplify]: Extracting # 2 : cost 0 0.165 * * [simplify]: Extracting # 3 : cost 0 0.165 * * [simplify]: Extracting # 4 : cost 0 0.165 * * [simplify]: iteration 2 : 343 enodes (cost 295 ) 0.300 * * [simplify]: Extracting # 0 : cost 0 0.301 * * [simplify]: Extracting # 1 : cost 0 0.302 * * [simplify]: Extracting # 2 : cost 0 0.303 * * [simplify]: Extracting # 3 : cost 0 0.304 * * [simplify]: Extracting # 4 : cost 0 0.305 * * [simplify]: iteration 3 : 968 enodes (cost 295 ) 0.840 * * [simplify]: Extracting # 0 : cost 0 0.843 * * [simplify]: Extracting # 1 : cost 0 0.845 * * [simplify]: Extracting # 2 : cost 0 0.847 * * [simplify]: Extracting # 3 : cost 0 0.849 * * [simplify]: Extracting # 4 : cost 0 0.851 * * [simplify]: iteration 4 : 2668 enodes (cost 295 ) 1.777 * * [simplify]: Extracting # 0 : cost 0 1.781 * * [simplify]: Extracting # 1 : cost 0 1.787 * * [simplify]: Extracting # 2 : cost 0 1.797 * * [simplify]: Extracting # 3 : cost 0 1.802 * * [simplify]: Extracting # 4 : cost 0 1.807 * * [simplify]: iteration done: 5000 enodes (cost 295 ) 1.807 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 1.807 * * * [progress]: adding candidates to table 1.871 * * [progress]: iteration 2 / 4 1.871 * * * [progress]: picking best candidate 1.873 * * * * [pick]: Picked # 1.873 * * * [progress]: localizing error 1.875 * * * [progress]: generating rewritten candidates 1.875 * * * [progress]: generating series expansions 1.875 * * * [progress]: simplifying candidates 1.875 * [simplify]: Simplifying: 1.875 * * [simplify]: Extracting # 0 : cost 0 1.875 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.875 * * [simplify]: Extracting # 0 : cost 0 1.875 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.875 * [simplify]: Simplified to: 1.875 * * * [progress]: adding candidates to table 1.875 * * [progress]: iteration 3 / 4 1.875 * * * [progress]: picking best candidate 1.877 * * * * [pick]: Picked # 1.877 * * * [progress]: localizing error 1.877 * * * [progress]: generating rewritten candidates 1.877 * * * [progress]: generating series expansions 1.877 * * * [progress]: simplifying candidates 1.878 * [simplify]: Simplifying: 1.878 * * [simplify]: Extracting # 0 : cost 0 1.878 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.878 * * [simplify]: Extracting # 0 : cost 0 1.878 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.878 * [simplify]: Simplified to: 1.878 * * * [progress]: adding candidates to table 1.878 * * [progress]: iteration 4 / 4 1.878 * * * [progress]: picking best candidate 1.879 * * * * [pick]: Picked # 1.879 * * * [progress]: localizing error 1.879 * * * [progress]: generating rewritten candidates 1.879 * * * [progress]: generating series expansions 1.879 * * * [progress]: simplifying candidates 1.879 * [simplify]: Simplifying: 1.879 * * [simplify]: Extracting # 0 : cost 0 1.879 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.879 * * [simplify]: Extracting # 0 : cost 0 1.879 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.879 * [simplify]: Simplified to: 1.879 * * * [progress]: adding candidates to table 1.880 * [progress]: [Phase 3 of 3] Extracting. 1.880 * * [regime]: Finding splitpoints for: (# # # #) 1.880 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 1.880 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 1.897 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.910 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.927 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.939 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 1.957 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # #) 1.975 * * * * [regimes]: Trying to branch on y from (# # # #) 2.004 * * * * [regimes]: Trying to branch on x from (# # # #) 2.029 * * * [regime]: Found split indices: #