31.125 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: Extracting # 1 : cost 0 0.018 * * [simplify]: Extracting # 2 : cost 0 0.018 * * [simplify]: Extracting # 3 : cost 0 0.018 * * [simplify]: Extracting # 4 : cost 0 0.018 * * [simplify]: Extracting # 5 : cost 0 0.018 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: Extracting # 1 : cost 0 0.020 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: iteration done: 11 enodes (cost 3 ) 0.024 * [simplify]: Simplified to: (hypot x y) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [backup-simplify]: Simplify (hypot x y) into (hypot x y) 0.042 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.042 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.042 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.042 * [taylor]: Taking taylor expansion of (* x x) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [backup-simplify]: Simplify x into x 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [backup-simplify]: Simplify x into x 0.042 * [taylor]: Taking taylor expansion of (* y y) in y 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 * [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 (* x x) into (pow x 2) 0.043 * [backup-simplify]: Simplify (* 0 0) into 0 0.043 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.044 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.044 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.044 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.045 * [backup-simplify]: Simplify (+ 0 0) into 0 0.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.045 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.045 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.045 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.045 * [taylor]: Taking taylor expansion of (* x x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of (* y y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [backup-simplify]: Simplify (* 0 0) into 0 0.046 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.046 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.047 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.047 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.047 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.048 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.048 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.048 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.048 * [taylor]: Taking taylor expansion of (* x x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of (* y y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [backup-simplify]: Simplify (* 0 0) into 0 0.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.049 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.050 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.050 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.050 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.053 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.053 * [backup-simplify]: Simplify (+ 1 0) into 1 0.054 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.054 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.054 * [taylor]: Taking taylor expansion of 1/2 in y 0.054 * [backup-simplify]: Simplify 1/2 into 1/2 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.058 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.060 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y)) 0.060 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.060 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.060 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.061 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (/ 1 x) into (/ 1 x) 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (/ 1 x) into (/ 1 x) 0.061 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (+ 0 1) into 1 0.064 * [backup-simplify]: Simplify (sqrt 1) into 1 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.073 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.074 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.074 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.074 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (/ 1 1) into 1 0.075 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [backup-simplify]: Simplify y into y 0.075 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [backup-simplify]: Simplify y into y 0.075 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify (+ 1 0) into 1 0.076 * [backup-simplify]: Simplify (sqrt 1) into 1 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.078 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.078 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.078 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.078 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 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 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 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [backup-simplify]: Simplify y into y 0.079 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [backup-simplify]: Simplify y into y 0.079 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.080 * [backup-simplify]: Simplify (sqrt 1) into 1 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.084 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.084 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.085 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.085 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of 1/2 in y 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [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 (/ 1/2 1) into 1/2 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.092 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y)) 0.092 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.092 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.092 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.092 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.092 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.092 * [taylor]: Taking taylor expansion of -1 in y 0.092 * [backup-simplify]: Simplify -1 into -1 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [backup-simplify]: Simplify x into x 0.092 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.092 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.092 * [taylor]: Taking taylor expansion of -1 in y 0.092 * [backup-simplify]: Simplify -1 into -1 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [backup-simplify]: Simplify x into x 0.092 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.092 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.092 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.093 * [taylor]: Taking taylor expansion of -1 in y 0.093 * [backup-simplify]: Simplify -1 into -1 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ -1 1) into -1 0.093 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.093 * [taylor]: Taking taylor expansion of -1 in y 0.093 * [backup-simplify]: Simplify -1 into -1 0.093 * [taylor]: Taking taylor expansion of y in y 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 0.095 * [backup-simplify]: Simplify (+ 0 1) into 1 0.095 * [backup-simplify]: Simplify (sqrt 1) into 1 0.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.099 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.099 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.099 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.099 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.100 * [taylor]: Taking taylor expansion of -1 in x 0.100 * [backup-simplify]: Simplify -1 into -1 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ -1 1) into -1 0.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.100 * [taylor]: Taking taylor expansion of -1 in x 0.100 * [backup-simplify]: Simplify -1 into -1 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ -1 1) into -1 0.101 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.101 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.101 * [taylor]: Taking taylor expansion of -1 in x 0.101 * [backup-simplify]: Simplify -1 into -1 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.101 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.101 * [taylor]: Taking taylor expansion of -1 in x 0.101 * [backup-simplify]: Simplify -1 into -1 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.102 * [backup-simplify]: Simplify (* -1 -1) into 1 0.102 * [backup-simplify]: Simplify (+ 1 0) into 1 0.103 * [backup-simplify]: Simplify (sqrt 1) into 1 0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.107 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.107 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.107 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.107 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.107 * [taylor]: Taking taylor expansion of -1 in x 0.107 * [backup-simplify]: Simplify -1 into -1 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ -1 1) into -1 0.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.108 * [taylor]: Taking taylor expansion of -1 in x 0.108 * [backup-simplify]: Simplify -1 into -1 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ -1 1) into -1 0.108 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.108 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.108 * [taylor]: Taking taylor expansion of -1 in x 0.108 * [backup-simplify]: Simplify -1 into -1 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.109 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.109 * [taylor]: Taking taylor expansion of -1 in x 0.109 * [backup-simplify]: Simplify -1 into -1 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.109 * [backup-simplify]: Simplify (* -1 -1) into 1 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [backup-simplify]: Simplify (sqrt 1) into 1 0.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.118 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.118 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.119 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.120 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of 1/2 in y 0.120 * [backup-simplify]: Simplify 1/2 into 1/2 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.127 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.131 * * * [progress]: simplifying candidates 0.132 * [simplify]: Simplifying: (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) 0.132 * * [simplify]: Extracting # 0 : cost 0 0.132 * * [simplify]: Extracting # 1 : cost 0 0.132 * * [simplify]: Extracting # 2 : cost 0 0.132 * * [simplify]: Extracting # 3 : cost 0 0.132 * * [simplify]: iteration 0 : 17 enodes (cost 60 ) 0.137 * * [simplify]: Extracting # 0 : cost 0 0.138 * * [simplify]: Extracting # 1 : cost 0 0.138 * * [simplify]: iteration 1 : 22 enodes (cost 58 ) 0.143 * * [simplify]: Extracting # 0 : cost 0 0.144 * * [simplify]: Extracting # 1 : cost 0 0.144 * * [simplify]: Extracting # 2 : cost 0 0.144 * * [simplify]: iteration 2 : 25 enodes (cost 52 ) 0.147 * * [simplify]: Extracting # 0 : cost 0 0.148 * * [simplify]: Extracting # 1 : cost 0 0.148 * * [simplify]: Extracting # 2 : cost 0 0.148 * * [simplify]: Extracting # 3 : cost 0 0.148 * * [simplify]: Extracting # 4 : cost 0 0.148 * * [simplify]: iteration 3 : 30 enodes (cost 52 ) 0.153 * * [simplify]: Extracting # 0 : cost 0 0.153 * * [simplify]: Extracting # 1 : cost 0 0.153 * * [simplify]: Extracting # 2 : cost 0 0.153 * * [simplify]: Extracting # 3 : cost 0 0.153 * * [simplify]: Extracting # 4 : cost 0 0.153 * * [simplify]: iteration 4 : 36 enodes (cost 52 ) 0.158 * * [simplify]: Extracting # 0 : cost 0 0.158 * * [simplify]: Extracting # 1 : cost 0 0.158 * * [simplify]: Extracting # 2 : cost 0 0.159 * * [simplify]: Extracting # 3 : cost 0 0.159 * * [simplify]: Extracting # 4 : cost 0 0.159 * * [simplify]: iteration 5 : 46 enodes (cost 52 ) 0.166 * * [simplify]: Extracting # 0 : cost 0 0.166 * * [simplify]: Extracting # 1 : cost 0 0.166 * * [simplify]: Extracting # 2 : cost 0 0.166 * * [simplify]: Extracting # 3 : cost 0 0.166 * * [simplify]: iteration 6 : 67 enodes (cost 52 ) 0.182 * * [simplify]: Extracting # 0 : cost 0 0.183 * * [simplify]: Extracting # 1 : cost 0 0.183 * * [simplify]: Extracting # 2 : cost 0 0.183 * * [simplify]: Extracting # 3 : cost 0 0.183 * * [simplify]: iteration 7 : 146 enodes (cost 52 ) 0.293 * * [simplify]: Extracting # 0 : cost 0 0.293 * * [simplify]: Extracting # 1 : cost 0 0.294 * * [simplify]: Extracting # 2 : cost 0 0.295 * * [simplify]: Extracting # 3 : cost 0 0.295 * * [simplify]: Extracting # 4 : cost 0 0.296 * * [simplify]: iteration 8 : 431 enodes (cost 52 ) 1.196 * * [simplify]: Extracting # 0 : cost 0 1.197 * * [simplify]: Extracting # 1 : cost 0 1.199 * * [simplify]: Extracting # 2 : cost 0 1.200 * * [simplify]: Extracting # 3 : cost 0 1.201 * * [simplify]: Extracting # 4 : cost 0 1.202 * * [simplify]: iteration 9 : 1841 enodes (cost 52 ) 2.136 * * [simplify]: Extracting # 0 : cost 0 2.142 * * [simplify]: Extracting # 1 : cost 0 2.148 * * [simplify]: Extracting # 2 : cost 0 2.154 * * [simplify]: Extracting # 3 : cost 0 2.163 * * [simplify]: iteration done: 5001 enodes (cost 52 ) 2.164 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (- x) 2.164 * * * [progress]: adding candidates to table 2.207 * [progress]: [Phase 3 of 3] Extracting. 2.209 * [simplify]: Simplifying: (hypot x y) 2.209 * * [simplify]: Extracting # 0 : cost 0 2.209 * * [simplify]: Extracting # 1 : cost 0 2.209 * * [simplify]: Extracting # 2 : cost 0 2.209 * * [simplify]: iteration 0 : 3 enodes (cost 3 ) 2.209 * * [simplify]: Extracting # 0 : cost 0 2.209 * * [simplify]: iteration done: 3 enodes (cost 3 ) 2.210 * [simplify]: Simplified to: (hypot x y) 2.967 * [regime-testing]: Baseline error score: 0.003625453181647706 2.970 * [regime-testing]: Oracle error score: 0.003625453181647706 2.971 * [regime-testing]: End program error score: 0.003625453181647706 3.024 * [regime-testing]: Target error score: 17.667103525330983