5.665 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.021 * [simplify]: Sending expressions to egg_math: (+ (* h1 h1) (* h0 h0)) 0.024 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [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) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [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) 0.040 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [backup-simplify]: Simplify (+ (* 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 0.041 * [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 0.042 * [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 0.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.043 * [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)) 0.045 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.045 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [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 0.046 * [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 0.047 * [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) 0.048 * [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 0.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [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 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.050 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [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 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [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 0.054 * [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 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.056 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.056 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [backup-simplify]: Simplify x into x 0.056 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.056 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.056 * [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 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 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 0.058 * [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 0.058 * [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)) 0.059 * [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 0.059 * [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 0.060 * [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 0.061 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.062 * [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 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [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 0.066 * [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 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.067 * * * [progress]: simplifying candidates 0.068 * [simplify]: Simplifying: (* (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: (* (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 : 101 enodes (cost 77 ) 0.075 * * [simplify]: iteration 1 : 465 enodes (cost 66 ) 0.083 * * [simplify]: iteration 2 : 1240 enodes (cost 66 ) 0.115 * * [simplify]: iteration 3 : 5001 enodes (cost 66 ) 0.116 * * * [progress]: adding candidates to table 0.146 * * [progress]: iteration 2 / 4 0.146 * * * [progress]: picking best candidate 0.148 * * * * [pick]: Picked # 0.148 * * * [progress]: localizing error 0.160 * * * [progress]: generating rewritten candidates 0.160 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.214 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.229 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.254 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.264 * * * [progress]: generating series expansions 0.264 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.265 * [backup-simplify]: Simplify (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))) into (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) 0.265 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in (y x) around 0 0.265 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 0.265 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [backup-simplify]: Simplify y into y 0.265 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [backup-simplify]: Simplify y into y 0.265 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.265 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.265 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 0.265 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 0.266 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.266 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.266 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.266 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2) 0.266 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.266 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.266 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [backup-simplify]: Simplify x into x 0.266 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [backup-simplify]: Simplify x into x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.266 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.266 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 0.266 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.267 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.267 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 0.267 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.267 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.267 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [backup-simplify]: Simplify x into x 0.267 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [backup-simplify]: Simplify x into x 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.267 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.267 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 0.267 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.267 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.267 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.268 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ 0 (pow x 2))))) into 0 0.269 * [taylor]: Taking taylor expansion of 0 in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.270 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (- 1) into -1 0.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.271 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ -1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 1 0.271 * [taylor]: Taking taylor expansion of 1 in x 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ 0 (pow x 2))) (* 0 (/ -1 (pow x 2))) (* 1 (/ 0 (pow x 2))))) into 0 0.274 * [taylor]: Taking taylor expansion of 0 in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.277 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2)))))) into 0 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (- 1) into -1 0.277 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.278 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (- (/ -1 (pow x 2)) (+ (* (pow x 2) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 1 (/ -1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.279 * [taylor]: Taking taylor expansion of 0 in x 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow x 2) (pow y 2)) 0.280 * [backup-simplify]: Simplify (/ (+ (* (- (pow (/ 1 y) 3)) (/ 1 y)) (pow (/ 1 x) 4)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.280 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (y x) around 0 0.280 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.281 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [backup-simplify]: Simplify y into y 0.281 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.281 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.281 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (* 1 1) into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [backup-simplify]: Simplify y into y 0.282 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.282 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.282 * [backup-simplify]: Simplify (+ 1 0) into 1 0.283 * [backup-simplify]: Simplify (+ 1 0) into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.283 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [backup-simplify]: Simplify x into x 0.283 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.283 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.283 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.283 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [backup-simplify]: Simplify x into x 0.284 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.284 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.286 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.286 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.286 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [backup-simplify]: Simplify x into x 0.286 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.286 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.286 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [backup-simplify]: Simplify x into x 0.287 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.287 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [backup-simplify]: Simplify (- 1) into -1 0.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.288 * [backup-simplify]: Simplify (- 1) into -1 0.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.289 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.289 * [taylor]: Taking taylor expansion of 1 in x 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 0.292 * [taylor]: Taking taylor expansion of 0 in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.296 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (pow x 2)) -1)) (* 0 (/ 0 -1)))) into (/ 1 (pow x 2)) 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 0 (/ (/ 1 (pow x 2)) -1)) (* (/ 1 (pow x 2)) (/ 0 -1)))) into 0 0.301 * [taylor]: Taking taylor expansion of 0 in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 0.304 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (- (/ (/ 1 (pow x 4)) -1) (+ (* 1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (/ 1 (pow x 2)) (/ (/ 1 (pow x 2)) -1)) (* 0 (/ 0 -1)))) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.309 * [backup-simplify]: Simplify (/ (+ (* (- (pow (/ 1 (- y)) 3)) (/ 1 (- y))) (pow (/ 1 (- x)) 4)) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.309 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (y x) around 0 0.309 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.310 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [backup-simplify]: Simplify y into y 0.310 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.310 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.310 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [backup-simplify]: Simplify y into y 0.311 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.311 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.311 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.311 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.312 * [backup-simplify]: Simplify x into x 0.312 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.312 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.312 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.312 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [backup-simplify]: Simplify x into x 0.313 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.313 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (- 1) into -1 0.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.314 * [backup-simplify]: Simplify (- 1) into -1 0.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.314 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.314 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.314 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.314 * [backup-simplify]: Simplify x into x 0.314 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.315 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.315 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [backup-simplify]: Simplify x into x 0.316 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.316 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (- 1) into -1 0.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.317 * [backup-simplify]: Simplify (- 1) into -1 0.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.317 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.317 * [taylor]: Taking taylor expansion of 1 in x 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 0.320 * [taylor]: Taking taylor expansion of 0 in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.324 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (pow x 2)) -1)) (* 0 (/ 0 -1)))) into (/ 1 (pow x 2)) 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 0 (/ (/ 1 (pow x 2)) -1)) (* (/ 1 (pow x 2)) (/ 0 -1)))) into 0 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 0.333 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (- (/ (/ 1 (pow x 4)) -1) (+ (* 1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (/ 1 (pow x 2)) (/ (/ 1 (pow x 2)) -1)) (* 0 (/ 0 -1)))) into 0 0.336 * [taylor]: Taking taylor expansion of 0 in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.337 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.337 * [backup-simplify]: Simplify (+ (* (- (pow y 3)) y) (pow x 4)) into (- (pow x 4) (pow y 4)) 0.337 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (y x) around 0 0.337 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [backup-simplify]: Simplify y into y 0.338 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.338 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [backup-simplify]: Simplify x into x 0.338 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.338 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [backup-simplify]: Simplify x into x 0.338 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.338 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.338 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 0.338 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.338 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [taylor]: Taking taylor expansion of 0 in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.343 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [taylor]: Taking taylor expansion of 0 in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [taylor]: Taking taylor expansion of 0 in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* (- (pow (/ 1 y) 3)) (/ 1 y)) (pow (/ 1 x) 4)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 0.346 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (y x) around 0 0.346 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.346 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.347 * [backup-simplify]: Simplify y into y 0.347 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.347 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.347 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.347 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.347 * [backup-simplify]: Simplify x into x 0.347 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.347 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.347 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.347 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.348 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [backup-simplify]: Simplify x into x 0.348 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.348 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.348 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [backup-simplify]: Simplify (- 1) into -1 0.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.349 * [taylor]: Taking taylor expansion of -1 in x 0.349 * [backup-simplify]: Simplify -1 into -1 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [taylor]: Taking taylor expansion of 0 in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [taylor]: Taking taylor expansion of 0 in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (* 1 1) into 1 0.358 * [backup-simplify]: Simplify (* 1 1) into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify -1 into -1 0.358 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.358 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [taylor]: Taking taylor expansion of 0 in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.362 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [taylor]: Taking taylor expansion of 0 in x 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 y))) 4)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 4))) into (- (pow x 4) (pow y 4)) 0.367 * [backup-simplify]: Simplify (+ (* (- (pow (/ 1 (- y)) 3)) (/ 1 (- y))) (pow (/ 1 (- x)) 4)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 0.367 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (y x) around 0 0.367 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.368 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [backup-simplify]: Simplify y into y 0.368 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.368 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.368 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 0.368 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.368 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [backup-simplify]: Simplify x into x 0.368 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.369 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.369 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.369 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.369 * [backup-simplify]: Simplify x into x 0.370 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.370 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.370 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [backup-simplify]: Simplify (- 1) into -1 0.371 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.371 * [taylor]: Taking taylor expansion of -1 in x 0.371 * [backup-simplify]: Simplify -1 into -1 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- 0) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [taylor]: Taking taylor expansion of 0 in x 0.374 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify -1 into -1 0.380 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.380 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [taylor]: Taking taylor expansion of 0 in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.384 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [taylor]: Taking taylor expansion of 0 in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 (- y)))) 4)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 4))) into (- (pow x 4) (pow y 4)) 0.389 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.389 * [backup-simplify]: Simplify (* (- (pow y 3)) y) into (* -1 (pow y 4)) 0.389 * [approximate]: Taking taylor expansion of (* -1 (pow y 4)) in (y) around 0 0.389 * [taylor]: Taking taylor expansion of (* -1 (pow y 4)) in y 0.389 * [taylor]: Taking taylor expansion of -1 in y 0.389 * [backup-simplify]: Simplify -1 into -1 0.389 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [taylor]: Taking taylor expansion of (* -1 (pow y 4)) in y 0.389 * [taylor]: Taking taylor expansion of -1 in y 0.389 * [backup-simplify]: Simplify -1 into -1 0.389 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (* -1 1) into -1 0.390 * [backup-simplify]: Simplify -1 into -1 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.393 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.396 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.399 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.401 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (* -1 (pow y 4)) into (* -1 (pow y 4)) 0.401 * [backup-simplify]: Simplify (* (- (pow (/ 1 y) 3)) (/ 1 y)) into (/ -1 (pow y 4)) 0.401 * [approximate]: Taking taylor expansion of (/ -1 (pow y 4)) in (y) around 0 0.401 * [taylor]: Taking taylor expansion of (/ -1 (pow y 4)) in y 0.401 * [taylor]: Taking taylor expansion of -1 in y 0.401 * [backup-simplify]: Simplify -1 into -1 0.401 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (/ -1 1) into -1 0.402 * [taylor]: Taking taylor expansion of (/ -1 (pow y 4)) in y 0.402 * [taylor]: Taking taylor expansion of -1 in y 0.402 * [backup-simplify]: Simplify -1 into -1 0.402 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ -1 1) into -1 0.403 * [backup-simplify]: Simplify -1 into -1 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 y)) 4)) into (* -1 (pow y 4)) 0.414 * [backup-simplify]: Simplify (* (- (pow (/ 1 (- y)) 3)) (/ 1 (- y))) into (/ -1 (pow y 4)) 0.414 * [approximate]: Taking taylor expansion of (/ -1 (pow y 4)) in (y) around 0 0.414 * [taylor]: Taking taylor expansion of (/ -1 (pow y 4)) in y 0.414 * [taylor]: Taking taylor expansion of -1 in y 0.414 * [backup-simplify]: Simplify -1 into -1 0.414 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (/ -1 1) into -1 0.414 * [taylor]: Taking taylor expansion of (/ -1 (pow y 4)) in y 0.415 * [taylor]: Taking taylor expansion of -1 in y 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify (/ -1 1) into -1 0.415 * [backup-simplify]: Simplify -1 into -1 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- y))) 4)) into (* -1 (pow y 4)) 0.426 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.426 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 0.426 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.426 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [backup-simplify]: Simplify x into x 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [backup-simplify]: Simplify y into y 0.426 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [backup-simplify]: Simplify y into y 0.426 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.427 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.427 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.427 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify (+ 1 0) into 1 0.428 * [taylor]: Taking taylor expansion of 1 in y 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (- 1) into -1 0.429 * [backup-simplify]: Simplify -1 into -1 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.435 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.437 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.438 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.438 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.438 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [backup-simplify]: Simplify x into x 0.438 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.439 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.440 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.441 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.441 * [taylor]: Taking taylor expansion of 1 in y 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.443 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.443 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [backup-simplify]: Simplify (- 1) into -1 0.444 * [backup-simplify]: Simplify -1 into -1 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.451 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.451 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.451 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [backup-simplify]: Simplify x into x 0.451 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.451 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [backup-simplify]: Simplify y into y 0.452 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.452 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.452 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [backup-simplify]: Simplify y into y 0.453 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.453 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.453 * [taylor]: Taking taylor expansion of 1 in y 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.455 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.455 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (* 1 1) into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (- 1) into -1 0.456 * [backup-simplify]: Simplify -1 into -1 0.456 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [taylor]: Taking taylor expansion of 0 in y 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.463 * * * [progress]: simplifying candidates 0.464 * [simplify]: Simplifying: (- (log (+ (* (- (pow y 3)) y) (pow x 4))) (log (- (* x x) (* y y)))) (log (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (exp (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (/ (* (* (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* (- (pow y 3)) y) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))) (cbrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (* (* (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))) (- (+ (* (- (pow y 3)) y) (pow x 4))) (- (- (* x x) (* y y))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (- (* x x) (* y y)))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (sqrt (- (* x x) (* y y)))) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y)))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) 1) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (- (* x x) (* y y))) (/ (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (+ x y)) (/ (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (- x y)) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (- (* x x) (* y y)))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y)))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (- (* x x) (* y y)))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) 1) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (- (* x x) (* y y))) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (+ x y)) (/ (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (- x y)) (/ 1 (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (cbrt (- (* x x) (* y y)))) (/ 1 (sqrt (- (* x x) (* y y)))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (sqrt (- (* x x) (* y y)))) (/ 1 1) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))) (/ 1 (+ x y)) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- x y)) (/ 1 (- (* x x) (* y y))) (/ (- (* x x) (* y y)) (+ (* (- (pow y 3)) y) (pow x 4))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (sqrt (- (* x x) (* y y)))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) 1) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (+ x y)) (/ (- (* x x) (* y y)) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (/ (- (* x x) (* y y)) (sqrt (+ (* (- (pow y 3)) y) (pow x 4)))) (/ (- (* x x) (* y y)) (+ (* (- (pow y 3)) y) (pow x 4))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (pow (* x x) 3) (pow (* y y) 3))) (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (- (* x x) (* y y)) (+ (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (- (* (pow x 4) (pow x 4)) (* (* (- (pow y 3)) y) (pow x 4))))) (* (- (* x x) (* y y)) (- (* (- (pow y 3)) y) (pow x 4))) (* (exp (* (- (pow y 3)) y)) (exp (pow x 4))) (log (+ (* (- (pow y 3)) y) (pow x 4))) (exp (+ (* (- (pow y 3)) y) (pow x 4))) (* (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4)))) (cbrt (+ (* (- (pow y 3)) y) (pow x 4))) (* (* (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* (- (pow y 3)) y) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (sqrt (+ (* (- (pow y 3)) y) (pow x 4))) (+ (pow (* (- (pow y 3)) y) 3) (pow (pow x 4) 3)) (+ (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (- (* (pow x 4) (pow x 4)) (* (* (- (pow y 3)) y) (pow x 4)))) (- (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (* (pow x 4) (pow x 4))) (- (* (- (pow y 3)) y) (pow x 4)) (* (- (pow y 3)) y) (+ (log (- (pow y 3))) (log y)) (log (* (- (pow y 3)) y)) (exp (* (- (pow y 3)) y)) (* (* (* (- (pow y 3)) (- (pow y 3))) (- (pow y 3))) (* (* y y) y)) (* (cbrt (* (- (pow y 3)) y)) (cbrt (* (- (pow y 3)) y))) (cbrt (* (- (pow y 3)) y)) (* (* (* (- (pow y 3)) y) (* (- (pow y 3)) y)) (* (- (pow y 3)) y)) (sqrt (* (- (pow y 3)) y)) (sqrt (* (- (pow y 3)) y)) (* (sqrt (- (pow y 3))) (sqrt y)) (* (sqrt (- (pow y 3))) (sqrt y)) (* (pow y 3) y) (* (- (pow y 3)) (* (cbrt y) (cbrt y))) (* (- (pow y 3)) (sqrt y)) (* (- (pow y 3)) 1) (* (cbrt (- (pow y 3))) y) (* (sqrt (- (pow y 3))) y) (* (- (pow y 3)) y) (* (pow y 3) y) (* (pow (cbrt y) 3) y) (* (pow (sqrt y) 3) y) (* (pow y 3) y) (* y y) (* (cbrt (pow y 3)) y) (* (pow (cbrt y) 3) y) (* (pow (sqrt y) 3) y) (* (pow y 3) y) (* (* y y) y) (* (sqrt (pow y 3)) y) (* (pow y 3) y) (* (pow y (/ 3 2)) y) (* (- (pow (cbrt y) 3)) y) (* (- (pow (sqrt y) 3)) y) (* (- (pow y 3)) y) (* (- y) y) (* (- (cbrt (pow y 3))) y) (* (- (pow (cbrt y) 3)) y) (* (- (pow (sqrt y) 3)) y) (* (- (pow y 3)) y) (* (- (* y y)) y) (* (- (sqrt (pow y 3))) y) (* (- (pow y 3)) y) (* (- (pow y (/ 3 2))) 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)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (* -1 (pow y 4)) (* -1 (pow y 4)) (* -1 (pow y 4)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.465 * [simplify]: Sending expressions to egg_math: (- (log (+ (* (- (pow h0 3)) h0) (pow h1 4))) (log (- (* h1 h1) (* h0 h0)))) (log (/ (+ (* (- (pow h0 3)) h0) (pow h1 4)) (- (* h1 h1) (* h0 h0)))) (exp (/ (+ (* (- (pow h0 3)) h0) (pow h1 4)) (- (* h1 h1) (* h0 h0)))) (/ (* (* (+ (* (- (pow h0 3)) h0) (pow h1 4)) (+ (* (- (pow h0 3)) h0) (pow h1 4))) (+ (* (- (pow h0 3)) h0) (pow h1 4))) (* (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (- (* h1 h1) (* h0 h0)))) (* (cbrt (/ (+ (* (- (pow h0 3)) h0) (pow h1 4)) (- (* h1 h1) (* h0 h0)))) (cbrt (/ (+ (* (- (pow h0 3)) h0) (pow h1 4)) (- (* h1 h1) (* h0 h0))))) (cbrt (/ (+ (* (- (pow h0 3)) h0) (pow h1 4)) (- (* h1 h1) (* h0 h0)))) (* (* (/ (+ (* (- (pow h0 3)) h0) (pow h1 4)) (- (* h1 h1) (* h0 h0))) (/ (+ (* (- (pow h0 3)) h0) (pow h1 4)) (- (* h1 h1) (* h0 h0)))) (/ (+ (* 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(pow h0 3)) h0))) (cbrt (* (- (pow h0 3)) h0)) (* (* (* (- (pow h0 3)) h0) (* (- (pow h0 3)) h0)) (* (- (pow h0 3)) h0)) (sqrt (* (- (pow h0 3)) h0)) (sqrt (* (- (pow h0 3)) h0)) (* (sqrt (- (pow h0 3))) (sqrt h0)) (* (sqrt (- (pow h0 3))) (sqrt h0)) (* (pow h0 3) h0) (* (- (pow h0 3)) (* (cbrt h0) (cbrt h0))) (* (- (pow h0 3)) (sqrt h0)) (* (- (pow h0 3)) 1) (* (cbrt (- (pow h0 3))) h0) (* (sqrt (- (pow h0 3))) h0) (* (- (pow h0 3)) h0) (* (pow h0 3) h0) (* (pow (cbrt h0) 3) h0) (* (pow (sqrt h0) 3) h0) (* (pow h0 3) h0) (* h0 h0) (* (cbrt (pow h0 3)) h0) (* (pow (cbrt h0) 3) h0) (* (pow (sqrt h0) 3) h0) (* (pow h0 3) h0) (* (* h0 h0) h0) (* (sqrt (pow h0 3)) h0) (* (pow h0 3) h0) (* (pow h0 (/ 3 2)) h0) (* (- (pow (cbrt h0) 3)) h0) (* (- (pow (sqrt h0) 3)) h0) (* (- (pow h0 3)) h0) (* (- h0) h0) (* (- (cbrt (pow h0 3))) h0) (* (- (pow (cbrt h0) 3)) h0) (* (- (pow (sqrt h0) 3)) h0) (* (- (pow h0 3)) h0) (* (- (* h0 h0)) h0) (* (- (sqrt (pow h0 3))) h0) (* (- (pow h0 3)) h0) (* (- (pow h0 (/ 3 2))) 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)))) (- (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))) (+ (* h1 h1) (* h0 h0)) (+ h1 h0) (- h1 h0) (- (* h0 h0)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) 0 (- (pow h1 4) (pow h0 4)) (- (pow h1 4) (pow h0 4)) (* -1 (pow h0 4)) (* -1 (pow h0 4)) (* -1 (pow h0 4)) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) 0.471 * * [simplify]: iteration 0 : 391 enodes (cost 841 ) 0.480 * * [simplify]: iteration 1 : 2274 enodes (cost 726 ) 0.541 * * [simplify]: iteration 2 : 5003 enodes (cost 717 ) 0.547 * * * [progress]: adding candidates to table 0.850 * [progress]: [Phase 3 of 3] Extracting. 0.850 * * [regime]: Finding splitpoints for: (# #) 0.853 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 0.853 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.863 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.874 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.884 * * * * [regimes]: Trying to branch on y from (# #) 0.898 * * * * [regimes]: Trying to branch on x from (# #) 0.909 * * * [regime]: Found split indices: #