3.587 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.019 * [simplify]: Sending expressions to egg_math: (+ (* h1 h1) (* h0 h0)) 0.021 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 8 enodes (cost 2 ) 0.024 * * [simplify]: iteration 2 : 8 enodes (cost 2 ) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.040 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.040 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [backup-simplify]: Simplify y into y 0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [backup-simplify]: Simplify y into y 0.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.041 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 (+ (* y 0) (* 0 y)) into 0 0.041 * [backup-simplify]: Simplify (+ 0 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 1) into 1 0.042 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.042 * [backup-simplify]: Simplify (+ 1 0) into 1 0.042 * [taylor]: Taking taylor expansion of 1 in y 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (* 1 1) into 1 0.042 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.043 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.043 * [backup-simplify]: Simplify (+ 0 0) into 0 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.045 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.045 * [backup-simplify]: Simplify (+ 0 0) into 0 0.045 * [taylor]: Taking taylor expansion of 0 in y 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 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.046 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.046 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [backup-simplify]: Simplify x into x 0.046 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.046 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (* 1 1) into 1 0.046 * [backup-simplify]: Simplify (/ 1 1) into 1 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 0.047 * [backup-simplify]: Simplify (* 1 1) into 1 0.047 * [backup-simplify]: Simplify (/ 1 1) into 1 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.047 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [backup-simplify]: Simplify y into y 0.048 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.048 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.048 * [backup-simplify]: Simplify (+ 1 0) into 1 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.048 * [backup-simplify]: Simplify 1 into 1 0.049 * [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 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* 1 1) into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [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 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.057 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.057 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [backup-simplify]: Simplify x into x 0.057 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.057 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 1) into 1 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.058 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [backup-simplify]: Simplify y into y 0.059 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.059 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.059 * [backup-simplify]: Simplify (+ 1 0) into 1 0.059 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.068 * * * [progress]: simplifying candidates 0.068 * [simplify]: Simplifying: (expm1 (+ (* x x) (* y y))) (log1p (+ (* 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)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.068 * [simplify]: Sending expressions to egg_math: (expm1 (+ (* h1 h1) (* h0 h0))) (log1p (+ (* h1 h1) (* h0 h0))) (* (exp (* h1 h1)) (exp (* h0 h0))) (log (+ (* h1 h1) (* h0 h0))) (exp (+ (* h1 h1) (* h0 h0))) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))) (- (* h1 h1) (* h0 h0)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) 0.071 * * [simplify]: iteration 0 : 109 enodes (cost 74 ) 0.074 * * [simplify]: iteration 1 : 511 enodes (cost 64 ) 0.081 * * [simplify]: iteration 2 : 1427 enodes (cost 61 ) 0.110 * * [simplify]: iteration 3 : 5001 enodes (cost 60 ) 0.111 * * * [progress]: adding candidates to table 0.142 * * [progress]: iteration 2 / 4 0.142 * * * [progress]: picking best candidate 0.143 * * * * [pick]: Picked # 0.143 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.147 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.155 * * * [progress]: generating series expansions 0.155 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.155 * [backup-simplify]: Simplify (* (hypot x y) (hypot x y)) into (pow (hypot x y) 2) 0.155 * [approximate]: Taking taylor expansion of (pow (hypot x y) 2) in (x y) around 0 0.155 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 0.155 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.155 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.155 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.155 * [taylor]: Taking taylor expansion of (* x x) in y 0.155 * [taylor]: Taking taylor expansion of x in y 0.155 * [backup-simplify]: Simplify x into x 0.155 * [taylor]: Taking taylor expansion of x in y 0.155 * [backup-simplify]: Simplify x into x 0.155 * [taylor]: Taking taylor expansion of (* y y) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.156 * [backup-simplify]: Simplify (* 0 0) into 0 0.156 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.156 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.156 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.156 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.157 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.157 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.157 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.157 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.157 * [taylor]: Taking taylor expansion of (* x x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of (* y y) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [backup-simplify]: Simplify y into y 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [backup-simplify]: Simplify y into y 0.157 * [backup-simplify]: Simplify (* 0 0) into 0 0.157 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.157 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.158 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.158 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.158 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.158 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.158 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.158 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.158 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.158 * [taylor]: Taking taylor expansion of (* x x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of (* y y) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [backup-simplify]: Simplify y into y 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [backup-simplify]: Simplify y into y 0.159 * [backup-simplify]: Simplify (* 0 0) into 0 0.159 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.159 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.159 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.159 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.159 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.160 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.161 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.161 * [backup-simplify]: Simplify (+ 1 0) into 1 0.161 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.162 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1 0.162 * [taylor]: Taking taylor expansion of 1 in y 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.163 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 (/ 1/2 y)) (+ (* (/ 1/2 y) 0) (* 0 y)))) into 0 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.165 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 y)) into (/ -1/8 (pow y 3)) 0.167 * [backup-simplify]: Simplify (+ (* y (/ -1/8 (pow y 3))) (+ (* 0 0) (+ (* (/ 1/2 y) (/ 1/2 y)) (+ (* 0 0) (* (/ -1/8 (pow y 3)) y))))) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.167 * [backup-simplify]: Simplify (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) into (pow (hypot (/ 1 x) (/ 1 y)) 2) 0.167 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.167 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 0.167 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.167 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.167 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [backup-simplify]: Simplify x into x 0.167 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [backup-simplify]: Simplify x into x 0.167 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.167 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (+ 0 1) into 1 0.169 * [backup-simplify]: Simplify (sqrt 1) into 1 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.171 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.171 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.171 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.171 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.171 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [backup-simplify]: Simplify y into y 0.171 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [backup-simplify]: Simplify y into y 0.171 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.172 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (sqrt 1) into 1 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.174 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.174 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.174 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.174 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.174 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [backup-simplify]: Simplify y into y 0.175 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [backup-simplify]: Simplify y into y 0.175 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [backup-simplify]: Simplify (sqrt 1) into 1 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.182 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.182 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.183 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.183 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.190 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.192 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.193 * [backup-simplify]: Simplify (* (hypot (/ 1 (- x)) (/ 1 (- y))) (hypot (/ 1 (- x)) (/ 1 (- y)))) into (pow (hypot (/ -1 x) (/ -1 y)) 2) 0.193 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 0.194 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.194 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.194 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.194 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.194 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.194 * [taylor]: Taking taylor expansion of -1 in y 0.194 * [backup-simplify]: Simplify -1 into -1 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [backup-simplify]: Simplify x into x 0.194 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.194 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.194 * [taylor]: Taking taylor expansion of -1 in y 0.194 * [backup-simplify]: Simplify -1 into -1 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [backup-simplify]: Simplify x into x 0.194 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.194 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.194 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.194 * [taylor]: Taking taylor expansion of -1 in y 0.194 * [backup-simplify]: Simplify -1 into -1 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ -1 1) into -1 0.194 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.194 * [taylor]: Taking taylor expansion of -1 in y 0.194 * [backup-simplify]: Simplify -1 into -1 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ -1 1) into -1 0.195 * [backup-simplify]: Simplify (* -1 -1) into 1 0.195 * [backup-simplify]: Simplify (+ 0 1) into 1 0.195 * [backup-simplify]: Simplify (sqrt 1) into 1 0.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.197 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.197 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.197 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.197 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.197 * [taylor]: Taking taylor expansion of -1 in x 0.197 * [backup-simplify]: Simplify -1 into -1 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ -1 1) into -1 0.198 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.198 * [taylor]: Taking taylor expansion of -1 in x 0.198 * [backup-simplify]: Simplify -1 into -1 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ -1 1) into -1 0.198 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.198 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.198 * [taylor]: Taking taylor expansion of -1 in x 0.198 * [backup-simplify]: Simplify -1 into -1 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [backup-simplify]: Simplify y into y 0.198 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.198 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.198 * [taylor]: Taking taylor expansion of -1 in x 0.198 * [backup-simplify]: Simplify -1 into -1 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [backup-simplify]: Simplify y into y 0.198 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.198 * [backup-simplify]: Simplify (* -1 -1) into 1 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.199 * [backup-simplify]: Simplify (sqrt 1) into 1 0.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.201 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.201 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.201 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.201 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.201 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.201 * [taylor]: Taking taylor expansion of -1 in x 0.201 * [backup-simplify]: Simplify -1 into -1 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ -1 1) into -1 0.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.201 * [taylor]: Taking taylor expansion of -1 in x 0.201 * [backup-simplify]: Simplify -1 into -1 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ -1 1) into -1 0.202 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.202 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.202 * [taylor]: Taking taylor expansion of -1 in x 0.202 * [backup-simplify]: Simplify -1 into -1 0.202 * [taylor]: Taking taylor expansion of y in x 0.202 * [backup-simplify]: Simplify y into y 0.202 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.202 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.202 * [taylor]: Taking taylor expansion of -1 in x 0.202 * [backup-simplify]: Simplify -1 into -1 0.202 * [taylor]: Taking taylor expansion of y in x 0.202 * [backup-simplify]: Simplify y into y 0.202 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.202 * [backup-simplify]: Simplify (* -1 -1) into 1 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify (sqrt 1) into 1 0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of 1 in y 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.207 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.207 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.207 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.208 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.210 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.210 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.214 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.214 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.216 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.218 * * * [progress]: simplifying candidates 0.218 * [simplify]: Simplifying: (expm1 (* (hypot x y) (hypot x y))) (log1p (* (hypot x y) (hypot x y))) (+ 1 1) (* (hypot x y) (hypot x y)) (+ 1 1) (+ (log (hypot x y)) (log (hypot x y))) (log (* (hypot x y) (hypot x y))) (exp (* (hypot x y) (hypot x y))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (cbrt (* (hypot x y) (hypot x y))) (cbrt (* (hypot x y) (hypot x y)))) (cbrt (* (hypot x y) (hypot x y))) (* (* (* (hypot x y) (hypot x y)) (* (hypot x y) (hypot x y))) (* (hypot x y) (hypot x y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (hypot x y) (hypot x y))) (sqrt (* (hypot x y) (hypot x y))) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* 1 1) (* (hypot x y) (hypot x y)) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* 2 1) (* (hypot x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (hypot x y) (sqrt (hypot x y))) (* (hypot x y) 1) (* (cbrt (hypot x y)) (hypot x y)) (* (sqrt (hypot x y)) (hypot x y)) (* (hypot x y) (hypot x y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.218 * [simplify]: Sending expressions to egg_math: (expm1 (* (hypot h1 h0) (hypot h1 h0))) (log1p (* (hypot h1 h0) (hypot h1 h0))) (+ 1 1) (* (hypot h1 h0) (hypot h1 h0)) (+ 1 1) (+ (log (hypot h1 h0)) (log (hypot h1 h0))) (log (* (hypot h1 h0) (hypot h1 h0))) (exp (* (hypot h1 h0) (hypot h1 h0))) (* (* (* (hypot h1 h0) (hypot h1 h0)) (hypot h1 h0)) (* (* (hypot h1 h0) (hypot h1 h0)) (hypot h1 h0))) (* (cbrt (* (hypot h1 h0) (hypot h1 h0))) (cbrt (* (hypot h1 h0) (hypot h1 h0)))) (cbrt (* (hypot h1 h0) (hypot h1 h0))) (* (* (* (hypot h1 h0) (hypot h1 h0)) (* (hypot h1 h0) (hypot h1 h0))) (* (hypot h1 h0) (hypot h1 h0))) (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (sqrt (* (hypot h1 h0) (hypot h1 h0))) (sqrt (* (hypot h1 h0) (hypot h1 h0))) (* (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))) (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* 1 1) (* (hypot h1 h0) (hypot h1 h0)) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* 2 1) (* (hypot h1 h0) (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (hypot h1 h0) (sqrt (hypot h1 h0))) (* (hypot h1 h0) 1) (* (cbrt (hypot h1 h0)) (hypot h1 h0)) (* (sqrt (hypot h1 h0)) (hypot h1 h0)) (* (hypot h1 h0) (hypot h1 h0)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) 0.221 * * [simplify]: iteration 0 : 78 enodes (cost 119 ) 0.223 * * [simplify]: iteration 1 : 284 enodes (cost 98 ) 0.229 * * [simplify]: iteration 2 : 1238 enodes (cost 89 ) 0.260 * * [simplify]: iteration 3 : 5001 enodes (cost 86 ) 0.261 * * * [progress]: adding candidates to table 0.298 * [progress]: [Phase 3 of 3] Extracting. 0.299 * * [regime]: Finding splitpoints for: (# #) 0.299 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 0.299 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.308 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.317 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.329 * * * * [regimes]: Trying to branch on y from (# #) 0.339 * * * * [regimes]: Trying to branch on x from (# #) 0.348 * * * [regime]: Found split indices: #