34.994 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.021 * [simplify]: Sending expressions to egg_math: (sqrt (+ (* h1 h1) (* h0 h0))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.041 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.051 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.051 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.051 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.051 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.051 * [taylor]: Taking taylor expansion of re in im 0.051 * [backup-simplify]: Simplify re into re 0.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.051 * [taylor]: Taking taylor expansion of im in im 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.051 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.051 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.051 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.058 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.058 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.058 * [taylor]: Taking taylor expansion of re in re 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.058 * [taylor]: Taking taylor expansion of im in re 0.058 * [backup-simplify]: Simplify im into im 0.058 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.058 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.058 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.058 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.059 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.059 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.059 * [taylor]: Taking taylor expansion of re in re 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.059 * [taylor]: Taking taylor expansion of im in re 0.059 * [backup-simplify]: Simplify im into im 0.059 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.059 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.059 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.059 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.060 * [taylor]: Taking taylor expansion of im in im 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [taylor]: Taking taylor expansion of 0 in im 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* 1 1) into 1 0.060 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.061 * [backup-simplify]: Simplify (+ 1 0) into 1 0.061 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.061 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.061 * [taylor]: Taking taylor expansion of 1/2 in im 0.061 * [backup-simplify]: Simplify 1/2 into 1/2 0.061 * [taylor]: Taking taylor expansion of im in im 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.064 * [taylor]: Taking taylor expansion of 0 in im 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 (* 1 (* im 1)) into im 0.064 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.064 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.065 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.065 * [taylor]: Taking taylor expansion of im in im 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (* 1 1) into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.065 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.065 * [taylor]: Taking taylor expansion of re in im 0.065 * [backup-simplify]: Simplify re into re 0.065 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.065 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.066 * [backup-simplify]: Simplify (+ 1 0) into 1 0.066 * [backup-simplify]: Simplify (sqrt 1) into 1 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.067 * [backup-simplify]: Simplify im into im 0.067 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.068 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.068 * [taylor]: Taking taylor expansion of re in re 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (* 1 1) into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.068 * [backup-simplify]: Simplify (+ 0 1) into 1 0.069 * [backup-simplify]: Simplify (sqrt 1) into 1 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.070 * [taylor]: Taking taylor expansion of im in re 0.070 * [backup-simplify]: Simplify im into im 0.070 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.070 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.070 * [taylor]: Taking taylor expansion of re in re 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [backup-simplify]: Simplify (+ 0 1) into 1 0.072 * [backup-simplify]: Simplify (sqrt 1) into 1 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.073 * [taylor]: Taking taylor expansion of 1 in im 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of 0 in im 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.076 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.076 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.076 * [taylor]: Taking taylor expansion of 1/2 in im 0.076 * [backup-simplify]: Simplify 1/2 into 1/2 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.076 * [taylor]: Taking taylor expansion of im in im 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.079 * [taylor]: Taking taylor expansion of 0 in im 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.081 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.081 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.081 * [taylor]: Taking taylor expansion of re in im 0.081 * [backup-simplify]: Simplify re into re 0.081 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.082 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.082 * [backup-simplify]: Simplify (+ 1 0) into 1 0.082 * [backup-simplify]: Simplify (sqrt 1) into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.084 * [backup-simplify]: Simplify im into im 0.084 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.084 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (* 1 1) into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [backup-simplify]: Simplify (+ 0 1) into 1 0.085 * [backup-simplify]: Simplify (sqrt 1) into 1 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.086 * [taylor]: Taking taylor expansion of im in re 0.086 * [backup-simplify]: Simplify im into im 0.086 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.087 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.087 * [taylor]: Taking taylor expansion of re in re 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [backup-simplify]: Simplify (+ 0 1) into 1 0.088 * [backup-simplify]: Simplify (sqrt 1) into 1 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.090 * [taylor]: Taking taylor expansion of 1 in im 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.093 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.093 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.093 * [taylor]: Taking taylor expansion of 1/2 in im 0.093 * [backup-simplify]: Simplify 1/2 into 1/2 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.093 * [taylor]: Taking taylor expansion of im in im 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.098 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.098 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.098 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.098 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.098 * [taylor]: Taking taylor expansion of re in im 0.098 * [backup-simplify]: Simplify re into re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.098 * [taylor]: Taking taylor expansion of im in im 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [backup-simplify]: Simplify im into im 0.098 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [backup-simplify]: Simplify im into im 0.098 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.098 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.098 * [taylor]: Taking taylor expansion of im in im 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.100 * [taylor]: Taking taylor expansion of 1 in im 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.101 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.103 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in im 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.104 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.104 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.104 * [taylor]: Taking taylor expansion of im in im 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.104 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.104 * [taylor]: Taking taylor expansion of re in im 0.104 * [backup-simplify]: Simplify re into re 0.104 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.104 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.104 * [taylor]: Taking taylor expansion of im in re 0.104 * [backup-simplify]: Simplify im into im 0.104 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.105 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.105 * [taylor]: Taking taylor expansion of re in re 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.105 * [taylor]: Taking taylor expansion of im in re 0.105 * [backup-simplify]: Simplify im into im 0.105 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.105 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.105 * [taylor]: Taking taylor expansion of re in re 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (* 1 1) into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [backup-simplify]: Simplify (+ 0 1) into 1 0.106 * [taylor]: Taking taylor expansion of 1 in im 0.106 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [taylor]: Taking taylor expansion of 0 in im 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.115 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.115 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.115 * [taylor]: Taking taylor expansion of im in im 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.116 * [taylor]: Taking taylor expansion of re in im 0.116 * [backup-simplify]: Simplify re into re 0.116 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.116 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.116 * [taylor]: Taking taylor expansion of im in re 0.116 * [backup-simplify]: Simplify im into im 0.116 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.116 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.117 * [backup-simplify]: Simplify im into im 0.117 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.117 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [backup-simplify]: Simplify (+ 0 1) into 1 0.118 * [taylor]: Taking taylor expansion of 1 in im 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.120 * [taylor]: Taking taylor expansion of im in im 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [taylor]: Taking taylor expansion of 0 in im 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.127 * * * [progress]: simplifying candidates 0.127 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.128 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (exp (* h1 h1)) (exp (* h0 h0))) (log (+ (* h1 h1) (* h0 h0))) (exp (+ (* h1 h1) (* h0 h0))) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))) (- (* h1 h1) (* h0 h0)) h0 h1 (* -1 h1) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) 0.218 * * * [progress]: adding candidates to table 0.338 * * [progress]: iteration 2 / 4 0.338 * * * [progress]: picking best candidate 0.356 * * * * [pick]: Picked # 0.356 * * * [progress]: localizing error 0.379 * * * [progress]: generating rewritten candidates 0.379 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.394 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.404 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.412 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.420 * * * [progress]: generating series expansions 0.420 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.420 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.420 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.420 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.420 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.420 * [taylor]: Taking taylor expansion of re in im 0.421 * [backup-simplify]: Simplify re into re 0.421 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.421 * [taylor]: Taking taylor expansion of im in im 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.421 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.421 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.421 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.421 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.422 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.422 * [taylor]: Taking taylor expansion of re in re 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.422 * [taylor]: Taking taylor expansion of im in re 0.422 * [backup-simplify]: Simplify im into im 0.422 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.422 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.422 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.422 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.422 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.422 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.422 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.422 * [taylor]: Taking taylor expansion of re in re 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.422 * [taylor]: Taking taylor expansion of im in re 0.422 * [backup-simplify]: Simplify im into im 0.423 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.423 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.423 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.427 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.428 * [taylor]: Taking taylor expansion of im in im 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [taylor]: Taking taylor expansion of 0 in im 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.430 * [backup-simplify]: Simplify (+ 1 0) into 1 0.431 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.431 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.431 * [taylor]: Taking taylor expansion of 1/2 in im 0.431 * [backup-simplify]: Simplify 1/2 into 1/2 0.431 * [taylor]: Taking taylor expansion of im in im 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.434 * [taylor]: Taking taylor expansion of 0 in im 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.435 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.435 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.435 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.435 * [taylor]: Taking taylor expansion of im in im 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (* 1 1) into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.436 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.436 * [taylor]: Taking taylor expansion of re in im 0.436 * [backup-simplify]: Simplify re into re 0.436 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.436 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.437 * [backup-simplify]: Simplify (+ 1 0) into 1 0.437 * [backup-simplify]: Simplify (sqrt 1) into 1 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.440 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.440 * [taylor]: Taking taylor expansion of im in re 0.440 * [backup-simplify]: Simplify im into im 0.440 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.440 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.440 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.440 * [taylor]: Taking taylor expansion of re in re 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 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (+ 0 1) into 1 0.441 * [backup-simplify]: Simplify (sqrt 1) into 1 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.444 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.444 * [taylor]: Taking taylor expansion of im in re 0.444 * [backup-simplify]: Simplify im into im 0.444 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.444 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.444 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.444 * [taylor]: Taking taylor expansion of re in re 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (+ 0 1) into 1 0.446 * [backup-simplify]: Simplify (sqrt 1) into 1 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.448 * [taylor]: Taking taylor expansion of 1 in im 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [taylor]: Taking taylor expansion of 0 in im 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 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 (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.451 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.451 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.451 * [taylor]: Taking taylor expansion of 1/2 in im 0.451 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.451 * [taylor]: Taking taylor expansion of im in im 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 0.452 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.456 * [taylor]: Taking taylor expansion of 0 in im 0.456 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.458 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.458 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.458 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.458 * [taylor]: Taking taylor expansion of im in im 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (* 1 1) into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.459 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.459 * [taylor]: Taking taylor expansion of re in im 0.459 * [backup-simplify]: Simplify re into re 0.459 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.459 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.460 * [backup-simplify]: Simplify (+ 1 0) into 1 0.460 * [backup-simplify]: Simplify (sqrt 1) into 1 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.462 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.462 * [taylor]: Taking taylor expansion of im in re 0.462 * [backup-simplify]: Simplify im into im 0.462 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.463 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.463 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.463 * [taylor]: Taking taylor expansion of re in re 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [backup-simplify]: Simplify (+ 0 1) into 1 0.465 * [backup-simplify]: Simplify (sqrt 1) into 1 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.468 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.468 * [taylor]: Taking taylor expansion of im in re 0.468 * [backup-simplify]: Simplify im into im 0.468 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.468 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.468 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.468 * [taylor]: Taking taylor expansion of re in re 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (+ 0 1) into 1 0.470 * [backup-simplify]: Simplify (sqrt 1) into 1 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.472 * [taylor]: Taking taylor expansion of 1 in im 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [taylor]: Taking taylor expansion of 0 in im 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.475 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.475 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.475 * [taylor]: Taking taylor expansion of 1/2 in im 0.475 * [backup-simplify]: Simplify 1/2 into 1/2 0.475 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.475 * [taylor]: Taking taylor expansion of im in im 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.480 * [taylor]: Taking taylor expansion of 0 in im 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.482 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.482 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.482 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.482 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.482 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.482 * [taylor]: Taking taylor expansion of re in im 0.482 * [backup-simplify]: Simplify re into re 0.482 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.482 * [taylor]: Taking taylor expansion of im in im 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.482 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.482 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.482 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.483 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.483 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.483 * [taylor]: Taking taylor expansion of re in re 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.483 * [taylor]: Taking taylor expansion of im in re 0.483 * [backup-simplify]: Simplify im into im 0.483 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.483 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.483 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.484 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.484 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.484 * [taylor]: Taking taylor expansion of re in re 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.484 * [taylor]: Taking taylor expansion of im in re 0.484 * [backup-simplify]: Simplify im into im 0.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.484 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.485 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.485 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.485 * [taylor]: Taking taylor expansion of im in im 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [taylor]: Taking taylor expansion of 0 in im 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (* 1 1) into 1 0.486 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.487 * [backup-simplify]: Simplify (+ 1 0) into 1 0.487 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.487 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.487 * [taylor]: Taking taylor expansion of 1/2 in im 0.487 * [backup-simplify]: Simplify 1/2 into 1/2 0.487 * [taylor]: Taking taylor expansion of im in im 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.489 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.489 * [taylor]: Taking taylor expansion of 0 in im 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.490 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.490 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.490 * [taylor]: Taking taylor expansion of im in im 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.491 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.491 * [taylor]: Taking taylor expansion of re in im 0.491 * [backup-simplify]: Simplify re into re 0.491 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.491 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.491 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (sqrt 1) into 1 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.493 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.493 * [taylor]: Taking taylor expansion of im in re 0.493 * [backup-simplify]: Simplify im into im 0.493 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.493 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.493 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.493 * [taylor]: Taking taylor expansion of re in re 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [backup-simplify]: Simplify (+ 0 1) into 1 0.494 * [backup-simplify]: Simplify (sqrt 1) into 1 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.496 * [taylor]: Taking taylor expansion of im in re 0.496 * [backup-simplify]: Simplify im into im 0.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.496 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.496 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.496 * [taylor]: Taking taylor expansion of re in re 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [backup-simplify]: Simplify (+ 0 1) into 1 0.498 * [backup-simplify]: Simplify (sqrt 1) into 1 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.500 * [taylor]: Taking taylor expansion of 1 in im 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [taylor]: Taking taylor expansion of 0 in im 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.503 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.503 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.503 * [taylor]: Taking taylor expansion of 1/2 in im 0.503 * [backup-simplify]: Simplify 1/2 into 1/2 0.503 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.503 * [taylor]: Taking taylor expansion of im in im 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.508 * [taylor]: Taking taylor expansion of 0 in im 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.510 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.510 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.511 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.511 * [taylor]: Taking taylor expansion of im in im 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.511 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.511 * [taylor]: Taking taylor expansion of re in im 0.511 * [backup-simplify]: Simplify re into re 0.511 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.511 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.512 * [backup-simplify]: Simplify (+ 1 0) into 1 0.512 * [backup-simplify]: Simplify (sqrt 1) into 1 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.513 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.513 * [taylor]: Taking taylor expansion of im in re 0.513 * [backup-simplify]: Simplify im into im 0.513 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.514 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.514 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.514 * [taylor]: Taking taylor expansion of re in re 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [backup-simplify]: Simplify (+ 0 1) into 1 0.515 * [backup-simplify]: Simplify (sqrt 1) into 1 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.516 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.516 * [taylor]: Taking taylor expansion of im in re 0.516 * [backup-simplify]: Simplify im into im 0.516 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.516 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.516 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.516 * [taylor]: Taking taylor expansion of re in re 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [backup-simplify]: Simplify (+ 0 1) into 1 0.517 * [backup-simplify]: Simplify (sqrt 1) into 1 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.519 * [taylor]: Taking taylor expansion of 1 in im 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of 0 in im 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.522 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.522 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.522 * [taylor]: Taking taylor expansion of 1/2 in im 0.522 * [backup-simplify]: Simplify 1/2 into 1/2 0.522 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.522 * [taylor]: Taking taylor expansion of im in im 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.527 * [taylor]: Taking taylor expansion of 0 in im 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.529 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.529 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.529 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.529 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.529 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.529 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.530 * [taylor]: Taking taylor expansion of re in im 0.530 * [backup-simplify]: Simplify re into re 0.530 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.530 * [taylor]: Taking taylor expansion of im in im 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.530 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.530 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.530 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.531 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.531 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.531 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.531 * [taylor]: Taking taylor expansion of re in re 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.531 * [taylor]: Taking taylor expansion of im in re 0.531 * [backup-simplify]: Simplify im into im 0.531 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.531 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.531 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.531 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.532 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.532 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.532 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.532 * [taylor]: Taking taylor expansion of re in re 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.532 * [taylor]: Taking taylor expansion of im in re 0.532 * [backup-simplify]: Simplify im into im 0.532 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.532 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.532 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.532 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.533 * [taylor]: Taking taylor expansion of im in im 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [taylor]: Taking taylor expansion of 0 in im 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (* 1 1) into 1 0.534 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.534 * [backup-simplify]: Simplify (+ 1 0) into 1 0.535 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.535 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.535 * [taylor]: Taking taylor expansion of 1/2 in im 0.535 * [backup-simplify]: Simplify 1/2 into 1/2 0.535 * [taylor]: Taking taylor expansion of im in im 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.538 * [taylor]: Taking taylor expansion of 0 in im 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.539 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.539 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.539 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.539 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.539 * [taylor]: Taking taylor expansion of im in im 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (* 1 1) into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.540 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.540 * [taylor]: Taking taylor expansion of re in im 0.540 * [backup-simplify]: Simplify re into re 0.540 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.540 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.541 * [backup-simplify]: Simplify (+ 1 0) into 1 0.541 * [backup-simplify]: Simplify (sqrt 1) into 1 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.543 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.543 * [taylor]: Taking taylor expansion of im in re 0.543 * [backup-simplify]: Simplify im into im 0.543 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.543 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.544 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.544 * [taylor]: Taking taylor expansion of re in re 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [backup-simplify]: Simplify (+ 0 1) into 1 0.545 * [backup-simplify]: Simplify (sqrt 1) into 1 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.547 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.547 * [taylor]: Taking taylor expansion of im in re 0.547 * [backup-simplify]: Simplify im into im 0.547 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.548 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.548 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.548 * [taylor]: Taking taylor expansion of re in re 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (* 1 1) into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.549 * [backup-simplify]: Simplify (+ 0 1) into 1 0.549 * [backup-simplify]: Simplify (sqrt 1) into 1 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.557 * [taylor]: Taking taylor expansion of 1 in im 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [taylor]: Taking taylor expansion of 0 in im 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.560 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.560 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.560 * [taylor]: Taking taylor expansion of 1/2 in im 0.560 * [backup-simplify]: Simplify 1/2 into 1/2 0.560 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.560 * [taylor]: Taking taylor expansion of im in im 0.560 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (* 1 1) into 1 0.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.565 * [taylor]: Taking taylor expansion of 0 in im 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.567 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.568 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.568 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.568 * [taylor]: Taking taylor expansion of im in im 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.568 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.568 * [taylor]: Taking taylor expansion of re in im 0.568 * [backup-simplify]: Simplify re into re 0.569 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.569 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.569 * [backup-simplify]: Simplify (+ 1 0) into 1 0.569 * [backup-simplify]: Simplify (sqrt 1) into 1 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.571 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.571 * [taylor]: Taking taylor expansion of im in re 0.572 * [backup-simplify]: Simplify im into im 0.572 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.572 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.572 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.572 * [taylor]: Taking taylor expansion of re in re 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (* 1 1) into 1 0.572 * [backup-simplify]: Simplify (/ 1 1) into 1 0.573 * [backup-simplify]: Simplify (+ 0 1) into 1 0.573 * [backup-simplify]: Simplify (sqrt 1) into 1 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.575 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.575 * [taylor]: Taking taylor expansion of im in re 0.575 * [backup-simplify]: Simplify im into im 0.575 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.576 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.576 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.576 * [taylor]: Taking taylor expansion of re in re 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (* 1 1) into 1 0.576 * [backup-simplify]: Simplify (/ 1 1) into 1 0.577 * [backup-simplify]: Simplify (+ 0 1) into 1 0.577 * [backup-simplify]: Simplify (sqrt 1) into 1 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.579 * [taylor]: Taking taylor expansion of 1 in im 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [taylor]: Taking taylor expansion of 0 in im 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.582 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.582 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.582 * [taylor]: Taking taylor expansion of 1/2 in im 0.582 * [backup-simplify]: Simplify 1/2 into 1/2 0.582 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.582 * [taylor]: Taking taylor expansion of im in im 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (* 1 1) into 1 0.583 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.587 * [taylor]: Taking taylor expansion of 0 in im 0.587 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.589 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.589 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* re re) (* im im)))) into (pow (+ (pow re 2) (pow im 2)) 1/6) 0.589 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in (re im) around 0 0.589 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in im 0.589 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in im 0.589 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in im 0.589 * [taylor]: Taking taylor expansion of 1/6 in im 0.589 * [backup-simplify]: Simplify 1/6 into 1/6 0.590 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.590 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.590 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.590 * [taylor]: Taking taylor expansion of re in im 0.590 * [backup-simplify]: Simplify re into re 0.590 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.590 * [taylor]: Taking taylor expansion of im in im 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.590 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.590 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 0.590 * [backup-simplify]: Simplify (* 1/6 (log (pow re 2))) into (* 1/6 (log (pow re 2))) 0.590 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow re 2)))) into (pow (pow re 2) 1/6) 0.590 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in re 0.590 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in re 0.590 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in re 0.590 * [taylor]: Taking taylor expansion of 1/6 in re 0.590 * [backup-simplify]: Simplify 1/6 into 1/6 0.590 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.590 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.591 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.591 * [taylor]: Taking taylor expansion of re in re 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.591 * [taylor]: Taking taylor expansion of im in re 0.591 * [backup-simplify]: Simplify im into im 0.591 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.591 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.591 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.591 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 0.591 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 0.591 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in re 0.591 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in re 0.591 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in re 0.591 * [taylor]: Taking taylor expansion of 1/6 in re 0.591 * [backup-simplify]: Simplify 1/6 into 1/6 0.591 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.591 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.592 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.592 * [taylor]: Taking taylor expansion of re in re 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.592 * [taylor]: Taking taylor expansion of im in re 0.592 * [backup-simplify]: Simplify im into im 0.592 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.592 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.592 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.592 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 0.592 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 0.592 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/6) in im 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow im 2)))) in im 0.592 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow im 2))) in im 0.592 * [taylor]: Taking taylor expansion of 1/6 in im 0.592 * [backup-simplify]: Simplify 1/6 into 1/6 0.592 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 0.592 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.592 * [taylor]: Taking taylor expansion of im in im 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [backup-simplify]: Simplify (* 1 1) into 1 0.593 * [backup-simplify]: Simplify (log 1) into 0 0.594 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.594 * [backup-simplify]: Simplify (* 1/6 (* 2 (log im))) into (* 1/3 (log im)) 0.594 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 0.594 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 0.594 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow im 2)))) into 0 0.596 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.596 * [taylor]: Taking taylor expansion of 0 in im 0.596 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.599 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.599 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log im)))) into 0 0.600 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (* 1 1) into 1 0.601 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.601 * [backup-simplify]: Simplify (+ 1 0) into 1 0.603 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 0.603 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/6 (/ 1 (pow im 2))) 0.604 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 0.604 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 0.604 * [taylor]: Taking taylor expansion of 1/6 in im 0.604 * [backup-simplify]: Simplify 1/6 into 1/6 0.604 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 0.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 0.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 0.605 * [taylor]: Taking taylor expansion of 1/3 in im 0.605 * [backup-simplify]: Simplify 1/3 into 1/3 0.605 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 0.605 * [taylor]: Taking taylor expansion of (pow im 5) in im 0.605 * [taylor]: Taking taylor expansion of im in im 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.606 * [backup-simplify]: Simplify (* 1 1) into 1 0.606 * [backup-simplify]: Simplify (/ 1 1) into 1 0.606 * [backup-simplify]: Simplify (log 1) into 0 0.607 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 0.607 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 0.607 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 0.607 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 0.607 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 0.607 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.609 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.610 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.610 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 0.611 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.612 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 0.618 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.618 * [taylor]: Taking taylor expansion of 0 in im 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.621 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 0.622 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 0.623 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.628 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.629 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 0.630 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) 0.631 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) 0.631 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in (re im) around 0 0.631 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in im 0.631 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.631 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.631 * [taylor]: Taking taylor expansion of 1/6 in im 0.631 * [backup-simplify]: Simplify 1/6 into 1/6 0.631 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.632 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.632 * [taylor]: Taking taylor expansion of im in im 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.632 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.632 * [taylor]: Taking taylor expansion of re in im 0.632 * [backup-simplify]: Simplify re into re 0.632 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.633 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.633 * [backup-simplify]: Simplify (log 1) into 0 0.634 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.634 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 0.634 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 0.634 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 0.634 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.634 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.634 * [taylor]: Taking taylor expansion of 1/6 in re 0.634 * [backup-simplify]: Simplify 1/6 into 1/6 0.634 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.634 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.634 * [backup-simplify]: Simplify im into im 0.634 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.634 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.634 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.634 * [taylor]: Taking taylor expansion of re in re 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (* 1 1) into 1 0.635 * [backup-simplify]: Simplify (/ 1 1) into 1 0.635 * [backup-simplify]: Simplify (+ 0 1) into 1 0.636 * [backup-simplify]: Simplify (log 1) into 0 0.636 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.636 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 0.636 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 0.636 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 0.636 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.636 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.636 * [taylor]: Taking taylor expansion of 1/6 in re 0.636 * [backup-simplify]: Simplify 1/6 into 1/6 0.636 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.636 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.637 * [backup-simplify]: Simplify im into im 0.637 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.637 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.637 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (* 1 1) into 1 0.637 * [backup-simplify]: Simplify (/ 1 1) into 1 0.638 * [backup-simplify]: Simplify (+ 0 1) into 1 0.638 * [backup-simplify]: Simplify (log 1) into 0 0.638 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.639 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 0.639 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 0.639 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 0.639 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 0.639 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 0.639 * [taylor]: Taking taylor expansion of -1/3 in im 0.639 * [backup-simplify]: Simplify -1/3 into -1/3 0.639 * [taylor]: Taking taylor expansion of (log re) in im 0.639 * [taylor]: Taking taylor expansion of re in im 0.639 * [backup-simplify]: Simplify re into re 0.639 * [backup-simplify]: Simplify (log re) into (log re) 0.639 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 0.639 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 0.639 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.642 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.642 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 0.643 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.643 * [taylor]: Taking taylor expansion of 0 in im 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.644 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 0.645 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.649 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 0.649 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.650 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 0.651 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 0.651 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 0.651 * [taylor]: Taking taylor expansion of 1/6 in im 0.651 * [backup-simplify]: Simplify 1/6 into 1/6 0.651 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 0.651 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 0.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 0.651 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 0.651 * [taylor]: Taking taylor expansion of 1/3 in im 0.651 * [backup-simplify]: Simplify 1/3 into 1/3 0.651 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 0.651 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.651 * [taylor]: Taking taylor expansion of re in im 0.651 * [backup-simplify]: Simplify re into re 0.651 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.651 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 0.651 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 0.651 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.651 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.651 * [taylor]: Taking taylor expansion of im in im 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (* 1 1) into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 0.656 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 0.657 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.658 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 0.660 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.661 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 0.661 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 0.662 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.665 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.666 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.671 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.672 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.674 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.674 * [taylor]: Taking taylor expansion of 0 in im 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 0.675 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) 0.675 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in (re im) around 0 0.675 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in im 0.675 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.675 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.675 * [taylor]: Taking taylor expansion of 1/6 in im 0.675 * [backup-simplify]: Simplify 1/6 into 1/6 0.675 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.675 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.675 * [taylor]: Taking taylor expansion of im in im 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (* 1 1) into 1 0.676 * [backup-simplify]: Simplify (/ 1 1) into 1 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.676 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.676 * [taylor]: Taking taylor expansion of re in im 0.676 * [backup-simplify]: Simplify re into re 0.676 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.676 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.676 * [backup-simplify]: Simplify (+ 1 0) into 1 0.677 * [backup-simplify]: Simplify (log 1) into 0 0.677 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.677 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 0.677 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 0.677 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 0.677 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.677 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.677 * [taylor]: Taking taylor expansion of 1/6 in re 0.677 * [backup-simplify]: Simplify 1/6 into 1/6 0.677 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.677 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.677 * [taylor]: Taking taylor expansion of im in re 0.677 * [backup-simplify]: Simplify im into im 0.678 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.678 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.678 * [taylor]: Taking taylor expansion of re in re 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (* 1 1) into 1 0.678 * [backup-simplify]: Simplify (/ 1 1) into 1 0.679 * [backup-simplify]: Simplify (+ 0 1) into 1 0.679 * [backup-simplify]: Simplify (log 1) into 0 0.688 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.689 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 0.689 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 0.689 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 0.689 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.689 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.689 * [taylor]: Taking taylor expansion of 1/6 in re 0.689 * [backup-simplify]: Simplify 1/6 into 1/6 0.689 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.689 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.689 * [taylor]: Taking taylor expansion of im in re 0.689 * [backup-simplify]: Simplify im into im 0.689 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.689 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.689 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.689 * [taylor]: Taking taylor expansion of re in re 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (* 1 1) into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [backup-simplify]: Simplify (+ 0 1) into 1 0.691 * [backup-simplify]: Simplify (log 1) into 0 0.692 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.692 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 0.692 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 0.692 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 0.692 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 0.692 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 0.692 * [taylor]: Taking taylor expansion of -1/3 in im 0.692 * [backup-simplify]: Simplify -1/3 into -1/3 0.692 * [taylor]: Taking taylor expansion of (log re) in im 0.692 * [taylor]: Taking taylor expansion of re in im 0.692 * [backup-simplify]: Simplify re into re 0.692 * [backup-simplify]: Simplify (log re) into (log re) 0.692 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 0.693 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 0.693 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.696 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.696 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 0.697 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.697 * [taylor]: Taking taylor expansion of 0 in im 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.698 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 0.699 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.702 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 0.703 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.703 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 0.704 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 0.704 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 0.704 * [taylor]: Taking taylor expansion of 1/6 in im 0.704 * [backup-simplify]: Simplify 1/6 into 1/6 0.704 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 0.704 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 0.704 * [taylor]: Taking taylor expansion of 1/3 in im 0.704 * [backup-simplify]: Simplify 1/3 into 1/3 0.704 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 0.704 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.704 * [taylor]: Taking taylor expansion of re in im 0.704 * [backup-simplify]: Simplify re into re 0.705 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.705 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 0.705 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 0.705 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.705 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (* 1 1) into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 0.709 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 0.710 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.712 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 0.712 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 0.714 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.714 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.715 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 0.715 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 0.716 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.718 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.719 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.725 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.726 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.727 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.727 * [taylor]: Taking taylor expansion of 0 in im 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 0.728 * * * [progress]: simplifying candidates 0.729 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (exp (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt 1) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (sqrt (- (* re re) (* im im)))) (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 0.730 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (exp (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt 1) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (cbrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))) (cbrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (cbrt (sqrt (- (* h1 h1) (* h0 h0)))) (* (cbrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (+ (pow h0 (/ 1 3)) (* (/ 1 6) (* (pow h1 2) (pow (/ 1 (pow h0 5)) (/ 1 3))))) (pow (/ 1 h1) (/ -1 3)) (pow (/ -1 h1) (/ -1 3)) 0.793 * * * [progress]: adding candidates to table 1.129 * * [progress]: iteration 3 / 4 1.129 * * * [progress]: picking best candidate 1.140 * * * * [pick]: Picked # 1.140 * * * [progress]: localizing error 1.176 * * * [progress]: generating rewritten candidates 1.176 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 1.189 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1.202 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.215 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.229 * * * [progress]: generating series expansions 1.229 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 1.230 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.230 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.230 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.230 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.230 * [taylor]: Taking taylor expansion of re in im 1.230 * [backup-simplify]: Simplify re into re 1.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.230 * [taylor]: Taking taylor expansion of im in im 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.230 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.230 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.230 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.231 * [backup-simplify]: Simplify (+ 0 0) into 0 1.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.231 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.231 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.231 * [taylor]: Taking taylor expansion of re in re 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 1 into 1 1.232 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.232 * [taylor]: Taking taylor expansion of im in re 1.232 * [backup-simplify]: Simplify im into im 1.232 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.232 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.232 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.232 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.232 * [backup-simplify]: Simplify (+ 0 0) into 0 1.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.232 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.233 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.233 * [taylor]: Taking taylor expansion of re in re 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.233 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.233 * [taylor]: Taking taylor expansion of im in re 1.233 * [backup-simplify]: Simplify im into im 1.233 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.233 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.233 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.233 * [backup-simplify]: Simplify (+ 0 0) into 0 1.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.234 * [taylor]: Taking taylor expansion of im in im 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [taylor]: Taking taylor expansion of 0 in im 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.234 * [backup-simplify]: Simplify (* 1 1) into 1 1.235 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.235 * [backup-simplify]: Simplify (+ 1 0) into 1 1.236 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.236 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.236 * [taylor]: Taking taylor expansion of 1/2 in im 1.236 * [backup-simplify]: Simplify 1/2 into 1/2 1.236 * [taylor]: Taking taylor expansion of im in im 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 1 into 1 1.236 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.238 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.238 * [backup-simplify]: Simplify (+ 0 0) into 0 1.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.239 * [taylor]: Taking taylor expansion of 0 in im 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.240 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.240 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.240 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.240 * [taylor]: Taking taylor expansion of im in im 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (* 1 1) into 1 1.241 * [backup-simplify]: Simplify (/ 1 1) into 1 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.241 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.241 * [taylor]: Taking taylor expansion of re in im 1.241 * [backup-simplify]: Simplify re into re 1.241 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.241 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.241 * [backup-simplify]: Simplify (+ 1 0) into 1 1.242 * [backup-simplify]: Simplify (sqrt 1) into 1 1.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.244 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.244 * [taylor]: Taking taylor expansion of im in re 1.244 * [backup-simplify]: Simplify im into im 1.244 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.244 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.244 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.244 * [taylor]: Taking taylor expansion of re in re 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.245 * [backup-simplify]: Simplify (* 1 1) into 1 1.245 * [backup-simplify]: Simplify (/ 1 1) into 1 1.245 * [backup-simplify]: Simplify (+ 0 1) into 1 1.245 * [backup-simplify]: Simplify (sqrt 1) into 1 1.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.248 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.248 * [taylor]: Taking taylor expansion of im in re 1.248 * [backup-simplify]: Simplify im into im 1.248 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.248 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.248 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.248 * [taylor]: Taking taylor expansion of re in re 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (* 1 1) into 1 1.249 * [backup-simplify]: Simplify (/ 1 1) into 1 1.249 * [backup-simplify]: Simplify (+ 0 1) into 1 1.249 * [backup-simplify]: Simplify (sqrt 1) into 1 1.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.251 * [taylor]: Taking taylor expansion of 1 in im 1.251 * [backup-simplify]: Simplify 1 into 1 1.251 * [taylor]: Taking taylor expansion of 0 in im 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.253 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.254 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.254 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.254 * [taylor]: Taking taylor expansion of 1/2 in im 1.254 * [backup-simplify]: Simplify 1/2 into 1/2 1.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.254 * [taylor]: Taking taylor expansion of im in im 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.255 * [backup-simplify]: Simplify (* 1 1) into 1 1.255 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.259 * [backup-simplify]: Simplify (+ 0 0) into 0 1.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.259 * [taylor]: Taking taylor expansion of 0 in im 1.259 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.261 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.261 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.261 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.261 * [taylor]: Taking taylor expansion of im in im 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 1 into 1 1.262 * [backup-simplify]: Simplify (* 1 1) into 1 1.262 * [backup-simplify]: Simplify (/ 1 1) into 1 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.262 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.262 * [taylor]: Taking taylor expansion of re in im 1.262 * [backup-simplify]: Simplify re into re 1.262 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.262 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.263 * [backup-simplify]: Simplify (+ 1 0) into 1 1.263 * [backup-simplify]: Simplify (sqrt 1) into 1 1.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.265 * [backup-simplify]: Simplify (+ 0 0) into 0 1.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.265 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.265 * [taylor]: Taking taylor expansion of im in re 1.265 * [backup-simplify]: Simplify im into im 1.265 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.266 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.266 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.266 * [taylor]: Taking taylor expansion of re in re 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (* 1 1) into 1 1.266 * [backup-simplify]: Simplify (/ 1 1) into 1 1.267 * [backup-simplify]: Simplify (+ 0 1) into 1 1.267 * [backup-simplify]: Simplify (sqrt 1) into 1 1.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.269 * [taylor]: Taking taylor expansion of im in re 1.269 * [backup-simplify]: Simplify im into im 1.269 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.269 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 1 into 1 1.270 * [backup-simplify]: Simplify (* 1 1) into 1 1.270 * [backup-simplify]: Simplify (/ 1 1) into 1 1.270 * [backup-simplify]: Simplify (+ 0 1) into 1 1.271 * [backup-simplify]: Simplify (sqrt 1) into 1 1.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.272 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.273 * [taylor]: Taking taylor expansion of 1 in im 1.273 * [backup-simplify]: Simplify 1 into 1 1.273 * [taylor]: Taking taylor expansion of 0 in im 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 1 into 1 1.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.276 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.276 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.276 * [taylor]: Taking taylor expansion of 1/2 in im 1.276 * [backup-simplify]: Simplify 1/2 into 1/2 1.276 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.276 * [taylor]: Taking taylor expansion of im in im 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.276 * [backup-simplify]: Simplify (* 1 1) into 1 1.277 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.287 * [taylor]: Taking taylor expansion of 0 in im 1.287 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.289 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 1.289 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.289 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.289 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.289 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.289 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.289 * [taylor]: Taking taylor expansion of re in im 1.289 * [backup-simplify]: Simplify re into re 1.289 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.289 * [taylor]: Taking taylor expansion of im in im 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 1 into 1 1.289 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.289 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.290 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.290 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.290 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.290 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.290 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 1 into 1 1.290 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.290 * [taylor]: Taking taylor expansion of im in re 1.290 * [backup-simplify]: Simplify im into im 1.290 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.291 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.291 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.291 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.291 * [backup-simplify]: Simplify (+ 0 0) into 0 1.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.291 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.291 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.291 * [backup-simplify]: Simplify im into im 1.292 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.292 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.292 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.292 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.292 * [backup-simplify]: Simplify (+ 0 0) into 0 1.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify 0 into 0 1.293 * [taylor]: Taking taylor expansion of 0 in im 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (* 1 1) into 1 1.293 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.294 * [backup-simplify]: Simplify (+ 1 0) into 1 1.294 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.294 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.294 * [taylor]: Taking taylor expansion of 1/2 in im 1.294 * [backup-simplify]: Simplify 1/2 into 1/2 1.294 * [taylor]: Taking taylor expansion of im in im 1.294 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.297 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.297 * [backup-simplify]: Simplify (+ 0 0) into 0 1.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.297 * [taylor]: Taking taylor expansion of 0 in im 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.299 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.299 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.299 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.299 * [taylor]: Taking taylor expansion of im in im 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.299 * [backup-simplify]: Simplify (* 1 1) into 1 1.299 * [backup-simplify]: Simplify (/ 1 1) into 1 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.300 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.300 * [taylor]: Taking taylor expansion of re in im 1.300 * [backup-simplify]: Simplify re into re 1.300 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.300 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.300 * [backup-simplify]: Simplify (+ 1 0) into 1 1.301 * [backup-simplify]: Simplify (sqrt 1) into 1 1.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.302 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.303 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.303 * [taylor]: Taking taylor expansion of im in re 1.303 * [backup-simplify]: Simplify im into im 1.303 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.303 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.303 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.303 * [taylor]: Taking taylor expansion of re in re 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (* 1 1) into 1 1.304 * [backup-simplify]: Simplify (/ 1 1) into 1 1.304 * [backup-simplify]: Simplify (+ 0 1) into 1 1.304 * [backup-simplify]: Simplify (sqrt 1) into 1 1.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.306 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.307 * [backup-simplify]: Simplify im into im 1.307 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.307 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.307 * [taylor]: Taking taylor expansion of re in re 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [backup-simplify]: Simplify (* 1 1) into 1 1.307 * [backup-simplify]: Simplify (/ 1 1) into 1 1.308 * [backup-simplify]: Simplify (+ 0 1) into 1 1.308 * [backup-simplify]: Simplify (sqrt 1) into 1 1.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.310 * [backup-simplify]: Simplify (+ 0 0) into 0 1.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.310 * [taylor]: Taking taylor expansion of 1 in im 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [taylor]: Taking taylor expansion of 0 in im 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.313 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.313 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.313 * [taylor]: Taking taylor expansion of 1/2 in im 1.313 * [backup-simplify]: Simplify 1/2 into 1/2 1.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.313 * [taylor]: Taking taylor expansion of im in im 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (* 1 1) into 1 1.314 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.318 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.318 * [taylor]: Taking taylor expansion of 0 in im 1.318 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.321 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.321 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.321 * [taylor]: Taking taylor expansion of im in im 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (* 1 1) into 1 1.322 * [backup-simplify]: Simplify (/ 1 1) into 1 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.322 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.322 * [taylor]: Taking taylor expansion of re in im 1.322 * [backup-simplify]: Simplify re into re 1.322 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.322 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.322 * [backup-simplify]: Simplify (+ 1 0) into 1 1.323 * [backup-simplify]: Simplify (sqrt 1) into 1 1.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.325 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.325 * [taylor]: Taking taylor expansion of im in re 1.325 * [backup-simplify]: Simplify im into im 1.325 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.325 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.326 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.326 * [taylor]: Taking taylor expansion of re in re 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (* 1 1) into 1 1.326 * [backup-simplify]: Simplify (/ 1 1) into 1 1.327 * [backup-simplify]: Simplify (+ 0 1) into 1 1.327 * [backup-simplify]: Simplify (sqrt 1) into 1 1.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.329 * [taylor]: Taking taylor expansion of im in re 1.329 * [backup-simplify]: Simplify im into im 1.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.330 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.330 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.330 * [taylor]: Taking taylor expansion of re in re 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (* 1 1) into 1 1.331 * [backup-simplify]: Simplify (/ 1 1) into 1 1.331 * [backup-simplify]: Simplify (+ 0 1) into 1 1.331 * [backup-simplify]: Simplify (sqrt 1) into 1 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.334 * [taylor]: Taking taylor expansion of 1 in im 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [taylor]: Taking taylor expansion of 0 in im 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.336 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.337 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.337 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.337 * [taylor]: Taking taylor expansion of 1/2 in im 1.337 * [backup-simplify]: Simplify 1/2 into 1/2 1.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.337 * [taylor]: Taking taylor expansion of im in im 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify (* 1 1) into 1 1.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.343 * [taylor]: Taking taylor expansion of 0 in im 1.343 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.345 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.345 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.345 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.345 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.345 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.345 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.345 * [taylor]: Taking taylor expansion of re in im 1.345 * [backup-simplify]: Simplify re into re 1.346 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.346 * [taylor]: Taking taylor expansion of im in im 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.346 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.346 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.346 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.347 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.347 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.347 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.347 * [taylor]: Taking taylor expansion of re in re 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.347 * [taylor]: Taking taylor expansion of im in re 1.347 * [backup-simplify]: Simplify im into im 1.347 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.347 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.347 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.347 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.348 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.348 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.348 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.348 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.348 * [taylor]: Taking taylor expansion of re in re 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.348 * [taylor]: Taking taylor expansion of im in re 1.348 * [backup-simplify]: Simplify im into im 1.348 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.348 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.349 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.349 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.349 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.349 * [taylor]: Taking taylor expansion of im in im 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [taylor]: Taking taylor expansion of 0 in im 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 1 into 1 1.350 * [backup-simplify]: Simplify (* 1 1) into 1 1.350 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.350 * [backup-simplify]: Simplify (+ 1 0) into 1 1.351 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.351 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.351 * [taylor]: Taking taylor expansion of 1/2 in im 1.351 * [backup-simplify]: Simplify 1/2 into 1/2 1.351 * [taylor]: Taking taylor expansion of im in im 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.352 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.354 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.355 * [backup-simplify]: Simplify (+ 0 0) into 0 1.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.355 * [taylor]: Taking taylor expansion of 0 in im 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.356 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.356 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.357 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.357 * [taylor]: Taking taylor expansion of im in im 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (* 1 1) into 1 1.357 * [backup-simplify]: Simplify (/ 1 1) into 1 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.357 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.357 * [taylor]: Taking taylor expansion of re in im 1.357 * [backup-simplify]: Simplify re into re 1.357 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.357 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.358 * [backup-simplify]: Simplify (+ 1 0) into 1 1.358 * [backup-simplify]: Simplify (sqrt 1) into 1 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.360 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.360 * [backup-simplify]: Simplify im into im 1.360 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.360 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.360 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (* 1 1) into 1 1.360 * [backup-simplify]: Simplify (/ 1 1) into 1 1.361 * [backup-simplify]: Simplify (+ 0 1) into 1 1.361 * [backup-simplify]: Simplify (sqrt 1) into 1 1.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.362 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.362 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.362 * [taylor]: Taking taylor expansion of im in re 1.362 * [backup-simplify]: Simplify im into im 1.362 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.363 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.363 * [taylor]: Taking taylor expansion of re in re 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.363 * [backup-simplify]: Simplify (* 1 1) into 1 1.363 * [backup-simplify]: Simplify (/ 1 1) into 1 1.363 * [backup-simplify]: Simplify (+ 0 1) into 1 1.364 * [backup-simplify]: Simplify (sqrt 1) into 1 1.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.365 * [backup-simplify]: Simplify (+ 0 0) into 0 1.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.365 * [taylor]: Taking taylor expansion of 1 in im 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [taylor]: Taking taylor expansion of 0 in im 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.366 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.367 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.367 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.367 * [taylor]: Taking taylor expansion of 1/2 in im 1.367 * [backup-simplify]: Simplify 1/2 into 1/2 1.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.367 * [taylor]: Taking taylor expansion of im in im 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (* 1 1) into 1 1.368 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.371 * [taylor]: Taking taylor expansion of 0 in im 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.372 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.372 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.372 * [taylor]: Taking taylor expansion of im in im 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (* 1 1) into 1 1.373 * [backup-simplify]: Simplify (/ 1 1) into 1 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.373 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.373 * [taylor]: Taking taylor expansion of re in im 1.373 * [backup-simplify]: Simplify re into re 1.373 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.373 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.373 * [backup-simplify]: Simplify (+ 1 0) into 1 1.374 * [backup-simplify]: Simplify (sqrt 1) into 1 1.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (+ 0 0) into 0 1.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.375 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.375 * [backup-simplify]: Simplify im into im 1.375 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.375 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.376 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.376 * [taylor]: Taking taylor expansion of re in re 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (* 1 1) into 1 1.376 * [backup-simplify]: Simplify (/ 1 1) into 1 1.376 * [backup-simplify]: Simplify (+ 0 1) into 1 1.377 * [backup-simplify]: Simplify (sqrt 1) into 1 1.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify (+ 0 0) into 0 1.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.378 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.378 * [taylor]: Taking taylor expansion of im in re 1.378 * [backup-simplify]: Simplify im into im 1.378 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.378 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.378 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.378 * [taylor]: Taking taylor expansion of re in re 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (* 1 1) into 1 1.379 * [backup-simplify]: Simplify (/ 1 1) into 1 1.379 * [backup-simplify]: Simplify (+ 0 1) into 1 1.379 * [backup-simplify]: Simplify (sqrt 1) into 1 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.380 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.381 * [taylor]: Taking taylor expansion of 1 in im 1.381 * [backup-simplify]: Simplify 1 into 1 1.381 * [taylor]: Taking taylor expansion of 0 in im 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.383 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.383 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.383 * [taylor]: Taking taylor expansion of 1/2 in im 1.383 * [backup-simplify]: Simplify 1/2 into 1/2 1.383 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.383 * [taylor]: Taking taylor expansion of im in im 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (* 1 1) into 1 1.384 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.387 * [backup-simplify]: Simplify (+ 0 0) into 0 1.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.388 * [taylor]: Taking taylor expansion of 0 in im 1.388 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.390 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.390 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.391 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.391 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.391 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.391 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.391 * [taylor]: Taking taylor expansion of re in im 1.391 * [backup-simplify]: Simplify re into re 1.391 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.391 * [taylor]: Taking taylor expansion of im in im 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.391 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.391 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.391 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.392 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.392 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.392 * [taylor]: Taking taylor expansion of im in re 1.392 * [backup-simplify]: Simplify im into im 1.392 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.393 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.393 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.393 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.394 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.394 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.394 * [taylor]: Taking taylor expansion of im in re 1.394 * [backup-simplify]: Simplify im into im 1.394 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.394 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.394 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.394 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.395 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.395 * [taylor]: Taking taylor expansion of im in im 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [taylor]: Taking taylor expansion of 0 in im 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (* 1 1) into 1 1.396 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.396 * [backup-simplify]: Simplify (+ 1 0) into 1 1.397 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.397 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.397 * [taylor]: Taking taylor expansion of 1/2 in im 1.397 * [backup-simplify]: Simplify 1/2 into 1/2 1.397 * [taylor]: Taking taylor expansion of im in im 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.401 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.401 * [taylor]: Taking taylor expansion of 0 in im 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.402 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.402 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.402 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.402 * [taylor]: Taking taylor expansion of im in im 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (* 1 1) into 1 1.403 * [backup-simplify]: Simplify (/ 1 1) into 1 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.403 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.403 * [taylor]: Taking taylor expansion of re in im 1.403 * [backup-simplify]: Simplify re into re 1.403 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.403 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.403 * [backup-simplify]: Simplify (+ 1 0) into 1 1.404 * [backup-simplify]: Simplify (sqrt 1) into 1 1.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.405 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.406 * [taylor]: Taking taylor expansion of im in re 1.406 * [backup-simplify]: Simplify im into im 1.406 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.406 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.406 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.406 * [taylor]: Taking taylor expansion of re in re 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (* 1 1) into 1 1.406 * [backup-simplify]: Simplify (/ 1 1) into 1 1.407 * [backup-simplify]: Simplify (+ 0 1) into 1 1.407 * [backup-simplify]: Simplify (sqrt 1) into 1 1.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.415 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.415 * [taylor]: Taking taylor expansion of im in re 1.415 * [backup-simplify]: Simplify im into im 1.415 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.415 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.415 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.415 * [taylor]: Taking taylor expansion of re in re 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [backup-simplify]: Simplify (* 1 1) into 1 1.416 * [backup-simplify]: Simplify (/ 1 1) into 1 1.416 * [backup-simplify]: Simplify (+ 0 1) into 1 1.416 * [backup-simplify]: Simplify (sqrt 1) into 1 1.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.418 * [taylor]: Taking taylor expansion of 1 in im 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [taylor]: Taking taylor expansion of 0 in im 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.420 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.420 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.420 * [taylor]: Taking taylor expansion of 1/2 in im 1.420 * [backup-simplify]: Simplify 1/2 into 1/2 1.420 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.420 * [taylor]: Taking taylor expansion of im in im 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify (* 1 1) into 1 1.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.424 * [taylor]: Taking taylor expansion of 0 in im 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.425 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.425 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.426 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.426 * [taylor]: Taking taylor expansion of im in im 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (* 1 1) into 1 1.426 * [backup-simplify]: Simplify (/ 1 1) into 1 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.426 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.426 * [taylor]: Taking taylor expansion of re in im 1.426 * [backup-simplify]: Simplify re into re 1.426 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.426 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.427 * [backup-simplify]: Simplify (+ 1 0) into 1 1.427 * [backup-simplify]: Simplify (sqrt 1) into 1 1.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.428 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.428 * [taylor]: Taking taylor expansion of im in re 1.428 * [backup-simplify]: Simplify im into im 1.428 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.429 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.429 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.429 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.429 * [taylor]: Taking taylor expansion of re in re 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (* 1 1) into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [backup-simplify]: Simplify (+ 0 1) into 1 1.430 * [backup-simplify]: Simplify (sqrt 1) into 1 1.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (+ 0 0) into 0 1.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.431 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.431 * [taylor]: Taking taylor expansion of im in re 1.431 * [backup-simplify]: Simplify im into im 1.431 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.431 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.431 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.431 * [taylor]: Taking taylor expansion of re in re 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (* 1 1) into 1 1.432 * [backup-simplify]: Simplify (/ 1 1) into 1 1.433 * [backup-simplify]: Simplify (+ 0 1) into 1 1.433 * [backup-simplify]: Simplify (sqrt 1) into 1 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.435 * [taylor]: Taking taylor expansion of 1 in im 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [taylor]: Taking taylor expansion of 0 in im 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.438 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.438 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.438 * [taylor]: Taking taylor expansion of 1/2 in im 1.438 * [backup-simplify]: Simplify 1/2 into 1/2 1.438 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.438 * [taylor]: Taking taylor expansion of im in im 1.438 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (* 1 1) into 1 1.439 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.444 * [taylor]: Taking taylor expansion of 0 in im 1.444 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.446 * * * [progress]: simplifying candidates 1.447 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.448 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) 1.581 * * * [progress]: adding candidates to table 1.840 * * [progress]: iteration 4 / 4 1.840 * * * [progress]: picking best candidate 1.844 * * * * [pick]: Picked # 1.844 * * * [progress]: localizing error 1.856 * * * [progress]: generating rewritten candidates 1.856 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.866 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.878 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 1.888 * * * [progress]: generating series expansions 1.888 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.888 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.888 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.888 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.888 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.888 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.888 * [taylor]: Taking taylor expansion of re in im 1.889 * [backup-simplify]: Simplify re into re 1.889 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.889 * [taylor]: Taking taylor expansion of im in im 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.889 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.889 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.889 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.890 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.890 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.890 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.890 * [taylor]: Taking taylor expansion of re in re 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.890 * [taylor]: Taking taylor expansion of im in re 1.890 * [backup-simplify]: Simplify im into im 1.890 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.890 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.890 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.890 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.891 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.891 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.891 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.891 * [taylor]: Taking taylor expansion of re in re 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.891 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.891 * [taylor]: Taking taylor expansion of im in re 1.891 * [backup-simplify]: Simplify im into im 1.891 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.891 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.891 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.891 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.891 * [taylor]: Taking taylor expansion of im in im 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [taylor]: Taking taylor expansion of 0 in im 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (* 1 1) into 1 1.892 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.892 * [backup-simplify]: Simplify (+ 1 0) into 1 1.893 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.893 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.893 * [taylor]: Taking taylor expansion of 1/2 in im 1.893 * [backup-simplify]: Simplify 1/2 into 1/2 1.893 * [taylor]: Taking taylor expansion of im in im 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.895 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.895 * [taylor]: Taking taylor expansion of 0 in im 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.896 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.896 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.896 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.896 * [taylor]: Taking taylor expansion of im in im 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (* 1 1) into 1 1.897 * [backup-simplify]: Simplify (/ 1 1) into 1 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.897 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.897 * [taylor]: Taking taylor expansion of re in im 1.897 * [backup-simplify]: Simplify re into re 1.897 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.897 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.897 * [backup-simplify]: Simplify (+ 1 0) into 1 1.897 * [backup-simplify]: Simplify (sqrt 1) into 1 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.899 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.899 * [taylor]: Taking taylor expansion of im in re 1.899 * [backup-simplify]: Simplify im into im 1.899 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.899 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.899 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.899 * [taylor]: Taking taylor expansion of re in re 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (* 1 1) into 1 1.900 * [backup-simplify]: Simplify (/ 1 1) into 1 1.900 * [backup-simplify]: Simplify (+ 0 1) into 1 1.900 * [backup-simplify]: Simplify (sqrt 1) into 1 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.902 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.902 * [taylor]: Taking taylor expansion of im in re 1.902 * [backup-simplify]: Simplify im into im 1.902 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.902 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.902 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.902 * [taylor]: Taking taylor expansion of re in re 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (* 1 1) into 1 1.903 * [backup-simplify]: Simplify (/ 1 1) into 1 1.903 * [backup-simplify]: Simplify (+ 0 1) into 1 1.903 * [backup-simplify]: Simplify (sqrt 1) into 1 1.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.905 * [taylor]: Taking taylor expansion of 1 in im 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [taylor]: Taking taylor expansion of 0 in im 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.907 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.907 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.907 * [taylor]: Taking taylor expansion of 1/2 in im 1.907 * [backup-simplify]: Simplify 1/2 into 1/2 1.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.907 * [taylor]: Taking taylor expansion of im in im 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (* 1 1) into 1 1.907 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.916 * [taylor]: Taking taylor expansion of 0 in im 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.917 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.917 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.917 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.917 * [taylor]: Taking taylor expansion of im in im 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.918 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.918 * [taylor]: Taking taylor expansion of re in im 1.918 * [backup-simplify]: Simplify re into re 1.918 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.918 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.918 * [backup-simplify]: Simplify (+ 1 0) into 1 1.919 * [backup-simplify]: Simplify (sqrt 1) into 1 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.920 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.920 * [taylor]: Taking taylor expansion of im in re 1.920 * [backup-simplify]: Simplify im into im 1.921 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.921 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.921 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.921 * [taylor]: Taking taylor expansion of re in re 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (* 1 1) into 1 1.921 * [backup-simplify]: Simplify (/ 1 1) into 1 1.921 * [backup-simplify]: Simplify (+ 0 1) into 1 1.922 * [backup-simplify]: Simplify (sqrt 1) into 1 1.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (+ 0 0) into 0 1.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.923 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.923 * [taylor]: Taking taylor expansion of im in re 1.923 * [backup-simplify]: Simplify im into im 1.923 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.923 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.923 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.923 * [taylor]: Taking taylor expansion of re in re 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.924 * [backup-simplify]: Simplify (* 1 1) into 1 1.924 * [backup-simplify]: Simplify (/ 1 1) into 1 1.924 * [backup-simplify]: Simplify (+ 0 1) into 1 1.924 * [backup-simplify]: Simplify (sqrt 1) into 1 1.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.926 * [taylor]: Taking taylor expansion of 1 in im 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [taylor]: Taking taylor expansion of 0 in im 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.928 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.928 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.928 * [taylor]: Taking taylor expansion of 1/2 in im 1.928 * [backup-simplify]: Simplify 1/2 into 1/2 1.928 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.928 * [taylor]: Taking taylor expansion of im in im 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (* 1 1) into 1 1.929 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.931 * [taylor]: Taking taylor expansion of 0 in im 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.933 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.933 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 1.933 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.933 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.933 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.933 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.933 * [taylor]: Taking taylor expansion of re in im 1.933 * [backup-simplify]: Simplify re into re 1.933 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.933 * [taylor]: Taking taylor expansion of im in im 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.933 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.933 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.933 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.934 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.934 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.934 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.934 * [taylor]: Taking taylor expansion of re in re 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.934 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.934 * [taylor]: Taking taylor expansion of im in re 1.934 * [backup-simplify]: Simplify im into im 1.934 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.934 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.934 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.934 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.935 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.935 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.935 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.935 * [taylor]: Taking taylor expansion of re in re 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.935 * [taylor]: Taking taylor expansion of im in re 1.935 * [backup-simplify]: Simplify im into im 1.935 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.935 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.935 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.935 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.936 * [taylor]: Taking taylor expansion of im in im 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [taylor]: Taking taylor expansion of 0 in im 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (* 1 1) into 1 1.936 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.936 * [backup-simplify]: Simplify (+ 1 0) into 1 1.937 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.937 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.937 * [taylor]: Taking taylor expansion of 1/2 in im 1.937 * [backup-simplify]: Simplify 1/2 into 1/2 1.937 * [taylor]: Taking taylor expansion of im in im 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.939 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.939 * [taylor]: Taking taylor expansion of 0 in im 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.940 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.940 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.940 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.940 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.940 * [taylor]: Taking taylor expansion of im in im 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (* 1 1) into 1 1.941 * [backup-simplify]: Simplify (/ 1 1) into 1 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.941 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.941 * [taylor]: Taking taylor expansion of re in im 1.941 * [backup-simplify]: Simplify re into re 1.941 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.941 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.941 * [backup-simplify]: Simplify (+ 1 0) into 1 1.942 * [backup-simplify]: Simplify (sqrt 1) into 1 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.943 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.943 * [taylor]: Taking taylor expansion of im in re 1.943 * [backup-simplify]: Simplify im into im 1.943 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.943 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.943 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.943 * [taylor]: Taking taylor expansion of re in re 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (* 1 1) into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.944 * [backup-simplify]: Simplify (+ 0 1) into 1 1.944 * [backup-simplify]: Simplify (sqrt 1) into 1 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.946 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.946 * [taylor]: Taking taylor expansion of im in re 1.946 * [backup-simplify]: Simplify im into im 1.946 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.946 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.946 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.946 * [taylor]: Taking taylor expansion of re in re 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (* 1 1) into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [backup-simplify]: Simplify (+ 0 1) into 1 1.947 * [backup-simplify]: Simplify (sqrt 1) into 1 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.949 * [taylor]: Taking taylor expansion of 1 in im 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [taylor]: Taking taylor expansion of 0 in im 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.951 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.951 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.951 * [taylor]: Taking taylor expansion of 1/2 in im 1.951 * [backup-simplify]: Simplify 1/2 into 1/2 1.951 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.951 * [taylor]: Taking taylor expansion of im in im 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.952 * [backup-simplify]: Simplify (* 1 1) into 1 1.952 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.955 * [taylor]: Taking taylor expansion of 0 in im 1.955 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.957 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.957 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.957 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.957 * [taylor]: Taking taylor expansion of im in im 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (* 1 1) into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.957 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.957 * [taylor]: Taking taylor expansion of re in im 1.957 * [backup-simplify]: Simplify re into re 1.957 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.958 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.958 * [backup-simplify]: Simplify (+ 1 0) into 1 1.958 * [backup-simplify]: Simplify (sqrt 1) into 1 1.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.960 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.960 * [taylor]: Taking taylor expansion of im in re 1.960 * [backup-simplify]: Simplify im into im 1.960 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.960 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.960 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.960 * [taylor]: Taking taylor expansion of re in re 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (* 1 1) into 1 1.960 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [backup-simplify]: Simplify (+ 0 1) into 1 1.961 * [backup-simplify]: Simplify (sqrt 1) into 1 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.962 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.962 * [taylor]: Taking taylor expansion of im in re 1.962 * [backup-simplify]: Simplify im into im 1.963 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.963 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.963 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.963 * [taylor]: Taking taylor expansion of re in re 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (* 1 1) into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.963 * [backup-simplify]: Simplify (+ 0 1) into 1 1.964 * [backup-simplify]: Simplify (sqrt 1) into 1 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.965 * [taylor]: Taking taylor expansion of 1 in im 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [taylor]: Taking taylor expansion of 0 in im 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.967 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.967 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.967 * [taylor]: Taking taylor expansion of 1/2 in im 1.967 * [backup-simplify]: Simplify 1/2 into 1/2 1.967 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.967 * [taylor]: Taking taylor expansion of im in im 1.967 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (* 1 1) into 1 1.968 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.971 * [taylor]: Taking taylor expansion of 0 in im 1.971 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.973 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 1.973 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 1.973 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 1.973 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.973 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.973 * [taylor]: Taking taylor expansion of re in im 1.973 * [backup-simplify]: Simplify re into re 1.973 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.973 * [taylor]: Taking taylor expansion of im in im 1.973 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.974 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.974 * [taylor]: Taking taylor expansion of re in re 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.974 * [taylor]: Taking taylor expansion of im in re 1.974 * [backup-simplify]: Simplify im into im 1.974 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.974 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.974 * [taylor]: Taking taylor expansion of re in re 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.974 * [taylor]: Taking taylor expansion of im in re 1.974 * [backup-simplify]: Simplify im into im 1.974 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.974 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.974 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.974 * [taylor]: Taking taylor expansion of im in im 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [taylor]: Taking taylor expansion of 0 in im 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (* 1 1) into 1 1.975 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.976 * [backup-simplify]: Simplify (+ 1 0) into 1 1.976 * [taylor]: Taking taylor expansion of 1 in im 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (* 1 1) into 1 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.977 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [taylor]: Taking taylor expansion of 0 in im 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.979 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [taylor]: Taking taylor expansion of 0 in im 1.979 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 1.980 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1.980 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.980 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.980 * [taylor]: Taking taylor expansion of im in im 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (* 1 1) into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.981 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.981 * [taylor]: Taking taylor expansion of re in im 1.981 * [backup-simplify]: Simplify re into re 1.981 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.981 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.981 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.981 * [taylor]: Taking taylor expansion of im in re 1.981 * [backup-simplify]: Simplify im into im 1.981 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.981 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.981 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.981 * [taylor]: Taking taylor expansion of re in re 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (* 1 1) into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.982 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.982 * [taylor]: Taking taylor expansion of im in re 1.982 * [backup-simplify]: Simplify im into im 1.982 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.982 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.982 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.982 * [taylor]: Taking taylor expansion of re in re 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (* 1 1) into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.983 * [backup-simplify]: Simplify (+ 0 1) into 1 1.983 * [taylor]: Taking taylor expansion of 1 in im 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [taylor]: Taking taylor expansion of 0 in im 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.985 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.985 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.985 * [taylor]: Taking taylor expansion of im in im 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [backup-simplify]: Simplify (* 1 1) into 1 1.986 * [backup-simplify]: Simplify (/ 1 1) into 1 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [taylor]: Taking taylor expansion of 0 in im 1.987 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.990 * [taylor]: Taking taylor expansion of 0 in im 1.990 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 1.992 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1.992 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 1.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.992 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.992 * [taylor]: Taking taylor expansion of im in im 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (* 1 1) into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.993 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.993 * [taylor]: Taking taylor expansion of re in im 1.993 * [backup-simplify]: Simplify re into re 1.993 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.993 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.993 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.993 * [taylor]: Taking taylor expansion of im in re 1.993 * [backup-simplify]: Simplify im into im 1.993 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.993 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.993 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.993 * [taylor]: Taking taylor expansion of re in re 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (* 1 1) into 1 1.994 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.994 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.994 * [taylor]: Taking taylor expansion of im in re 1.994 * [backup-simplify]: Simplify im into im 1.994 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.994 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.994 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.994 * [taylor]: Taking taylor expansion of re in re 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (* 1 1) into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [backup-simplify]: Simplify (+ 0 1) into 1 1.995 * [taylor]: Taking taylor expansion of 1 in im 1.995 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [taylor]: Taking taylor expansion of 0 in im 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.998 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.998 * [taylor]: Taking taylor expansion of im in im 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (* 1 1) into 1 1.998 * [backup-simplify]: Simplify (/ 1 1) into 1 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [taylor]: Taking taylor expansion of 0 in im 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [taylor]: Taking taylor expansion of 0 in im 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 2.004 * * * [progress]: simplifying candidates 2.005 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 2.005 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (/ 1 2)) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (log (sqrt (+ (* h1 h1) (* h0 h0))))))) (exp (sqrt (log (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (exp (log (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp (log (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) (exp (log (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))))) (exp (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* h1 h1) (* h0 h0))))) (exp (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp (log 1)) (exp (log (sqrt (+ (* h1 h1) (* h0 h0))))) (exp (log (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))) (exp (log (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))))) (exp (log (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))) (exp (log (sqrt (- (* h1 h1) (* h0 h0))))) (log (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (cbrt (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (exp (log (sqrt (+ (* h1 h1) (* h0 h0))))))) (cbrt (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (* (exp (log (sqrt (+ (* h1 h1) (* h0 h0))))) (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))) (sqrt (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))) (sqrt (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (exp (* h1 h1)) (exp (* h0 h0))) (log (+ (* h1 h1) (* h0 h0))) (exp (+ (* h1 h1) (* h0 h0))) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))) (- (* h1 h1) (* h0 h0)) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) 2.097 * * * [progress]: adding candidates to table 2.533 * [progress]: [Phase 3 of 3] Extracting. 2.533 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.534 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 2.534 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 2.577 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 2.610 * * * * [regimes]: Trying to branch on (* re re) from (# # # # # # # #) 2.664 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 2.701 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # # # # #) 2.746 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # #) 2.771 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # # # # #) 2.813 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # #) 2.837 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 2.874 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 2.922 * * * [regime]: Found split indices: #