6.768 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.015 * [simplify]: Sending expressions to egg_math: (sqrt (+ (* h1 h1) (* h0 h0))) 0.018 * * [simplify]: iteration 0 : 9 enodes (cost 1 ) 0.020 * * [simplify]: iteration 1 : 11 enodes (cost 1 ) 0.022 * * [simplify]: iteration 2 : 11 enodes (cost 1 ) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [backup-simplify]: Simplify (hypot x y) into (hypot x y) 0.035 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.035 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.035 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.035 * [taylor]: Taking taylor expansion of (* x x) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [backup-simplify]: Simplify x into x 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [backup-simplify]: Simplify x into x 0.035 * [taylor]: Taking taylor expansion of (* y y) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify 1 into 1 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify 1 into 1 0.036 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.036 * [backup-simplify]: Simplify (* 0 0) into 0 0.036 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.036 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.036 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.037 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.037 * [backup-simplify]: Simplify (+ 0 0) into 0 0.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.037 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.037 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.037 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.037 * [taylor]: Taking taylor expansion of (* x x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.038 * [taylor]: Taking taylor expansion of (* y y) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [backup-simplify]: Simplify y into y 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [backup-simplify]: Simplify y into y 0.038 * [backup-simplify]: Simplify (* 0 0) into 0 0.038 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.038 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.038 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.039 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.039 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.039 * [backup-simplify]: Simplify (+ 0 0) into 0 0.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.039 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.039 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.039 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.039 * [taylor]: Taking taylor expansion of (* x x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [taylor]: Taking taylor expansion of (* y y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [backup-simplify]: Simplify y into y 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [backup-simplify]: Simplify y into y 0.040 * [backup-simplify]: Simplify (* 0 0) into 0 0.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.040 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.040 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.040 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.040 * [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 y in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.042 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.042 * [backup-simplify]: Simplify (+ 1 0) into 1 0.043 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.043 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.043 * [taylor]: Taking taylor expansion of 1/2 in y 0.043 * [backup-simplify]: Simplify 1/2 into 1/2 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.045 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.045 * [backup-simplify]: Simplify (+ 0 0) into 0 0.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [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 0.046 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y)) 0.046 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.047 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.047 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.047 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (/ 1 x) into (/ 1 x) 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (/ 1 x) into (/ 1 x) 0.047 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) 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 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.048 * [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 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.051 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.051 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.051 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [backup-simplify]: Simplify y into y 0.052 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [backup-simplify]: Simplify y into y 0.052 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.052 * [backup-simplify]: Simplify (+ 1 0) into 1 0.053 * [backup-simplify]: Simplify (sqrt 1) into 1 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 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 (hypot (/ 1 x) (/ 1 y)) in x 0.055 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.055 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.055 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [backup-simplify]: Simplify y into y 0.056 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.056 * [backup-simplify]: Simplify (* 1 1) into 1 0.056 * [backup-simplify]: Simplify (+ 1 0) into 1 0.056 * [backup-simplify]: Simplify (sqrt 1) into 1 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.059 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.060 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.061 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.062 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.062 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of 1/2 in y 0.062 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.068 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y)) 0.068 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.068 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.068 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.069 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.069 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.069 * [taylor]: Taking taylor expansion of -1 in y 0.069 * [backup-simplify]: Simplify -1 into -1 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [backup-simplify]: Simplify x into x 0.069 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.069 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.069 * [taylor]: Taking taylor expansion of -1 in y 0.069 * [backup-simplify]: Simplify -1 into -1 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [backup-simplify]: Simplify x into x 0.069 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.069 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.069 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.069 * [taylor]: Taking taylor expansion of -1 in y 0.069 * [backup-simplify]: Simplify -1 into -1 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ -1 1) into -1 0.069 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.069 * [taylor]: Taking taylor expansion of -1 in y 0.069 * [backup-simplify]: Simplify -1 into -1 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ -1 1) into -1 0.070 * [backup-simplify]: Simplify (* -1 -1) into 1 0.070 * [backup-simplify]: Simplify (+ 0 1) into 1 0.070 * [backup-simplify]: Simplify (sqrt 1) into 1 0.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.072 * [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 0.073 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.073 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.073 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.073 * [taylor]: Taking taylor expansion of -1 in x 0.073 * [backup-simplify]: Simplify -1 into -1 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ -1 1) into -1 0.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.073 * [taylor]: Taking taylor expansion of -1 in x 0.073 * [backup-simplify]: Simplify -1 into -1 0.073 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.074 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.074 * [taylor]: Taking taylor expansion of -1 in x 0.074 * [backup-simplify]: Simplify -1 into -1 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.074 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.074 * [taylor]: Taking taylor expansion of -1 in x 0.074 * [backup-simplify]: Simplify -1 into -1 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [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 0.075 * [backup-simplify]: Simplify (sqrt 1) into 1 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.077 * [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 (hypot (/ -1 x) (/ -1 y)) in x 0.077 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.077 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 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 -1 in x 0.077 * [backup-simplify]: Simplify -1 into -1 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 0.078 * [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 -1 in x 0.078 * [backup-simplify]: Simplify -1 into -1 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 y) (/ -1 y)) in x 0.078 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.078 * [taylor]: Taking taylor expansion of -1 in x 0.078 * [backup-simplify]: Simplify -1 into -1 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.078 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.078 * [taylor]: Taking taylor expansion of -1 in x 0.078 * [backup-simplify]: Simplify -1 into -1 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.079 * [backup-simplify]: Simplify (* -1 -1) into 1 0.079 * [backup-simplify]: Simplify (+ 1 0) into 1 0.079 * [backup-simplify]: Simplify (sqrt 1) into 1 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) 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 1 in y 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.083 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.083 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.084 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.084 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of 1/2 in y 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.090 * * * [progress]: simplifying candidates 0.090 * [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) 0.090 * [simplify]: Sending expressions to egg_math: (expm1 (hypot h1 h0)) (log1p (hypot h1 h0)) (+ (* h1 h1) (* h0 h0)) (log (hypot h1 h0)) (exp (hypot h1 h0)) (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))) (cbrt (hypot h1 h0)) (* (* (hypot h1 h0) (hypot h1 h0)) (hypot h1 h0)) (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)) h0 h1 (* -1 h1) 0.093 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.096 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.099 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.101 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.103 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.106 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.112 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.132 * * [simplify]: iteration 7 : 1687 enodes (cost 24 ) 0.207 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.208 * * * [progress]: adding candidates to table 0.242 * [progress]: [Phase 3 of 3] Extracting. 0.243 * [simplify]: Simplifying: (hypot x y) 0.243 * [simplify]: Sending expressions to egg_math: (hypot h1 h0) 0.244 * * [simplify]: iteration 0 : 3 enodes (cost 1 ) 0.245 * * [simplify]: iteration 1 : 3 enodes (cost 1 ) 0.668 * [regime-testing]: End program error score: 0.003500437554694337 0.700 * [regime-testing]: Target error score: 17.42925093570798