17.389 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.014 * [simplify]: Sending expressions to egg_math: (sqrt (+ (* h1 h1) (* h0 h0))) 0.016 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.018 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.036 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.036 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.036 * [taylor]: Taking taylor expansion of re in im 0.036 * [backup-simplify]: Simplify re into re 0.036 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.036 * [taylor]: Taking taylor expansion of im in im 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.036 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.036 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.036 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.036 * [backup-simplify]: Simplify (+ 0 0) into 0 0.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.037 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.037 * [taylor]: Taking taylor expansion of re in re 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.037 * [taylor]: Taking taylor expansion of im in re 0.037 * [backup-simplify]: Simplify im into im 0.037 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.037 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.037 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.037 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.037 * [backup-simplify]: Simplify (+ 0 0) into 0 0.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.037 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.037 * [taylor]: Taking taylor expansion of re in re 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.037 * [taylor]: Taking taylor expansion of im in re 0.038 * [backup-simplify]: Simplify im into im 0.038 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.038 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.038 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.038 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.038 * [backup-simplify]: Simplify (+ 0 0) into 0 0.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.038 * [taylor]: Taking taylor expansion of im in im 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [taylor]: Taking taylor expansion of 0 in im 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (* 1 1) into 1 0.039 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.039 * [backup-simplify]: Simplify (+ 1 0) into 1 0.040 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.040 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.040 * [taylor]: Taking taylor expansion of 1/2 in im 0.040 * [backup-simplify]: Simplify 1/2 into 1/2 0.040 * [taylor]: Taking taylor expansion of im in im 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.041 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.042 * [backup-simplify]: Simplify (+ 0 0) into 0 0.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.042 * [taylor]: Taking taylor expansion of 0 in im 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.043 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.043 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.043 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.043 * [taylor]: Taking taylor expansion of im in im 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify (* 1 1) into 1 0.043 * [backup-simplify]: Simplify (/ 1 1) into 1 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.043 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.043 * [taylor]: Taking taylor expansion of re in im 0.043 * [backup-simplify]: Simplify re into re 0.043 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.043 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.044 * [backup-simplify]: Simplify (+ 1 0) into 1 0.044 * [backup-simplify]: Simplify (sqrt 1) into 1 0.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify (+ 0 0) into 0 0.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.045 * [taylor]: Taking taylor expansion of im in re 0.045 * [backup-simplify]: Simplify im into im 0.046 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.046 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.046 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.046 * [taylor]: Taking taylor expansion of re in re 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (* 1 1) into 1 0.046 * [backup-simplify]: Simplify (/ 1 1) into 1 0.047 * [backup-simplify]: Simplify (+ 0 1) into 1 0.047 * [backup-simplify]: Simplify (sqrt 1) into 1 0.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.048 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.048 * [taylor]: Taking taylor expansion of im in re 0.048 * [backup-simplify]: Simplify im into im 0.048 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.048 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.048 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.048 * [taylor]: Taking taylor expansion of re in re 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (* 1 1) into 1 0.049 * [backup-simplify]: Simplify (/ 1 1) into 1 0.049 * [backup-simplify]: Simplify (+ 0 1) into 1 0.049 * [backup-simplify]: Simplify (sqrt 1) into 1 0.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.051 * [taylor]: Taking taylor expansion of 1 in im 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of 0 in im 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.053 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.053 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.053 * [taylor]: Taking taylor expansion of 1/2 in im 0.053 * [backup-simplify]: Simplify 1/2 into 1/2 0.053 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.053 * [taylor]: Taking taylor expansion of im in im 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (* 1 1) into 1 0.053 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.056 * [taylor]: Taking taylor expansion of 0 in im 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.058 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.058 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.058 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.058 * [taylor]: Taking taylor expansion of im in im 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.058 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.058 * [taylor]: Taking taylor expansion of re in im 0.058 * [backup-simplify]: Simplify re into re 0.058 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.058 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.059 * [backup-simplify]: Simplify (+ 1 0) into 1 0.059 * [backup-simplify]: Simplify (sqrt 1) into 1 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.060 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.060 * [taylor]: Taking taylor expansion of im in re 0.060 * [backup-simplify]: Simplify im into im 0.060 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.060 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.060 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.060 * [taylor]: Taking taylor expansion of re in re 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [backup-simplify]: Simplify (+ 0 1) into 1 0.061 * [backup-simplify]: Simplify (sqrt 1) into 1 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.063 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.063 * [taylor]: Taking taylor expansion of im in re 0.063 * [backup-simplify]: Simplify im into im 0.063 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.063 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.063 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.063 * [taylor]: Taking taylor expansion of re in re 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [backup-simplify]: Simplify (+ 0 1) into 1 0.064 * [backup-simplify]: Simplify (sqrt 1) into 1 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.065 * [taylor]: Taking taylor expansion of 1 in im 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of 0 in im 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.067 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.067 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.067 * [taylor]: Taking taylor expansion of 1/2 in im 0.067 * [backup-simplify]: Simplify 1/2 into 1/2 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.068 * [taylor]: Taking taylor expansion of im in im 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 (/ 1/2 1) into 1/2 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in im 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.072 * * * [progress]: simplifying candidates 0.072 * [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)))) im re (* -1 re) 0.072 * [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)))) h0 h1 (* -1 h1) 0.075 * * [simplify]: iteration 0 : 89 enodes (cost 100 ) 0.078 * * [simplify]: iteration 1 : 215 enodes (cost 97 ) 0.082 * * [simplify]: iteration 2 : 503 enodes (cost 97 ) 0.091 * * [simplify]: iteration 3 : 1265 enodes (cost 97 ) 0.120 * * [simplify]: iteration 4 : 4227 enodes (cost 97 ) 0.208 * * [simplify]: iteration 5 : 5002 enodes (cost 96 ) 0.209 * * * [progress]: adding candidates to table 0.248 * * [progress]: iteration 2 / 4 0.248 * * * [progress]: picking best candidate 0.252 * * * * [pick]: Picked # 0.253 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.268 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.276 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.329 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.342 * * * [progress]: generating series expansions 0.342 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.342 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.343 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.343 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.343 * [taylor]: Taking taylor expansion of re in im 0.343 * [backup-simplify]: Simplify re into re 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.343 * [taylor]: Taking taylor expansion of im in im 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.343 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.343 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.343 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.344 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.344 * [taylor]: Taking taylor expansion of re in re 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.344 * [taylor]: Taking taylor expansion of im in re 0.344 * [backup-simplify]: Simplify im into im 0.344 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.344 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.344 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.344 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.344 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.344 * [taylor]: Taking taylor expansion of re in re 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.344 * [taylor]: Taking taylor expansion of im in re 0.344 * [backup-simplify]: Simplify im into im 0.345 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.345 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.345 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.345 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.345 * [taylor]: Taking taylor expansion of im in im 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [taylor]: Taking taylor expansion of 0 in im 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.346 * [backup-simplify]: Simplify (+ 1 0) into 1 0.347 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.347 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.347 * [taylor]: Taking taylor expansion of 1/2 in im 0.347 * [backup-simplify]: Simplify 1/2 into 1/2 0.347 * [taylor]: Taking taylor expansion of im in im 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.348 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.349 * [taylor]: Taking taylor expansion of 0 in im 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.349 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.350 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.350 * [taylor]: Taking taylor expansion of im in im 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (* 1 1) into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.353 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.353 * [taylor]: Taking taylor expansion of re in im 0.353 * [backup-simplify]: Simplify re into re 0.353 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.353 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.354 * [backup-simplify]: Simplify (+ 1 0) into 1 0.354 * [backup-simplify]: Simplify (sqrt 1) into 1 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.355 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.355 * [taylor]: Taking taylor expansion of im in re 0.355 * [backup-simplify]: Simplify im into im 0.355 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.356 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.356 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.356 * [taylor]: Taking taylor expansion of re in re 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [backup-simplify]: Simplify (+ 0 1) into 1 0.357 * [backup-simplify]: Simplify (sqrt 1) into 1 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.358 * [taylor]: Taking taylor expansion of im in re 0.358 * [backup-simplify]: Simplify im into im 0.358 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.358 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.358 * [taylor]: Taking taylor expansion of re in re 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (+ 0 1) into 1 0.359 * [backup-simplify]: Simplify (sqrt 1) into 1 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.361 * [taylor]: Taking taylor expansion of 1 in im 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of 0 in im 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.363 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.363 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.363 * [taylor]: Taking taylor expansion of 1/2 in im 0.363 * [backup-simplify]: Simplify 1/2 into 1/2 0.363 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.363 * [taylor]: Taking taylor expansion of im in im 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.366 * [taylor]: Taking taylor expansion of 0 in im 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.367 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.367 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.368 * [taylor]: Taking taylor expansion of im in im 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.368 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.368 * [taylor]: Taking taylor expansion of re in im 0.368 * [backup-simplify]: Simplify re into re 0.368 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.368 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.368 * [backup-simplify]: Simplify (+ 1 0) into 1 0.369 * [backup-simplify]: Simplify (sqrt 1) into 1 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.370 * [taylor]: Taking taylor expansion of im in re 0.370 * [backup-simplify]: Simplify im into im 0.370 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.370 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.370 * [taylor]: Taking taylor expansion of re in re 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [backup-simplify]: Simplify (+ 0 1) into 1 0.371 * [backup-simplify]: Simplify (sqrt 1) into 1 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.373 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.373 * [taylor]: Taking taylor expansion of im in re 0.373 * [backup-simplify]: Simplify im into im 0.373 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.373 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.373 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.373 * [taylor]: Taking taylor expansion of re in re 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [backup-simplify]: Simplify (+ 0 1) into 1 0.374 * [backup-simplify]: Simplify (sqrt 1) into 1 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.375 * [taylor]: Taking taylor expansion of 1 in im 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of 0 in im 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.377 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.377 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.377 * [taylor]: Taking taylor expansion of 1/2 in im 0.377 * [backup-simplify]: Simplify 1/2 into 1/2 0.377 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.377 * [taylor]: Taking taylor expansion of im in im 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.381 * [taylor]: Taking taylor expansion of 0 in im 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.382 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.382 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.382 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.382 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.382 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.382 * [taylor]: Taking taylor expansion of re in im 0.382 * [backup-simplify]: Simplify re into re 0.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.382 * [taylor]: Taking taylor expansion of im in im 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.382 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.382 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.382 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.383 * [taylor]: Taking taylor expansion of re in re 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.383 * [taylor]: Taking taylor expansion of im in re 0.383 * [backup-simplify]: Simplify im into im 0.383 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.383 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.383 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.383 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.384 * [taylor]: Taking taylor expansion of re in re 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.384 * [taylor]: Taking taylor expansion of im in re 0.384 * [backup-simplify]: Simplify im into im 0.384 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.384 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.384 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.384 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.384 * [taylor]: Taking taylor expansion of im in im 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [taylor]: Taking taylor expansion of 0 in im 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.385 * [backup-simplify]: Simplify (+ 1 0) into 1 0.385 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.386 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.386 * [taylor]: Taking taylor expansion of 1/2 in im 0.386 * [backup-simplify]: Simplify 1/2 into 1/2 0.386 * [taylor]: Taking taylor expansion of im in im 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.388 * [taylor]: Taking taylor expansion of 0 in im 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.388 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.388 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.388 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.388 * [taylor]: Taking taylor expansion of im in im 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.389 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.389 * [taylor]: Taking taylor expansion of re in im 0.389 * [backup-simplify]: Simplify re into re 0.389 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.389 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.389 * [backup-simplify]: Simplify (+ 1 0) into 1 0.390 * [backup-simplify]: Simplify (sqrt 1) into 1 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.391 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.391 * [taylor]: Taking taylor expansion of im in re 0.391 * [backup-simplify]: Simplify im into im 0.391 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.391 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.391 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.391 * [taylor]: Taking taylor expansion of re in re 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [backup-simplify]: Simplify (+ 0 1) into 1 0.392 * [backup-simplify]: Simplify (sqrt 1) into 1 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.394 * [taylor]: Taking taylor expansion of im in re 0.394 * [backup-simplify]: Simplify im into im 0.394 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.394 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.394 * [taylor]: Taking taylor expansion of re in re 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (* 1 1) into 1 0.395 * [backup-simplify]: Simplify (/ 1 1) into 1 0.395 * [backup-simplify]: Simplify (+ 0 1) into 1 0.395 * [backup-simplify]: Simplify (sqrt 1) into 1 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.396 * [taylor]: Taking taylor expansion of 1 in im 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of 0 in im 0.396 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.398 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.398 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.398 * [taylor]: Taking taylor expansion of 1/2 in im 0.398 * [backup-simplify]: Simplify 1/2 into 1/2 0.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.398 * [taylor]: Taking taylor expansion of im in im 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (* 1 1) into 1 0.399 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.402 * [taylor]: Taking taylor expansion of 0 in im 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.403 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.403 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.403 * [taylor]: Taking taylor expansion of im in im 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.404 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.404 * [taylor]: Taking taylor expansion of re in im 0.404 * [backup-simplify]: Simplify re into re 0.404 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.404 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.404 * [backup-simplify]: Simplify (+ 1 0) into 1 0.404 * [backup-simplify]: Simplify (sqrt 1) into 1 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.406 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.406 * [taylor]: Taking taylor expansion of im in re 0.406 * [backup-simplify]: Simplify im into im 0.406 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.406 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.406 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.406 * [taylor]: Taking taylor expansion of re in re 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (+ 0 1) into 1 0.407 * [backup-simplify]: Simplify (sqrt 1) into 1 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.408 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.408 * [taylor]: Taking taylor expansion of im in re 0.408 * [backup-simplify]: Simplify im into im 0.408 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.408 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.408 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.408 * [taylor]: Taking taylor expansion of re in re 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [backup-simplify]: Simplify (+ 0 1) into 1 0.409 * [backup-simplify]: Simplify (sqrt 1) into 1 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.411 * [taylor]: Taking taylor expansion of 1 in im 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of 0 in im 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.413 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.413 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.413 * [taylor]: Taking taylor expansion of 1/2 in im 0.413 * [backup-simplify]: Simplify 1/2 into 1/2 0.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.413 * [taylor]: Taking taylor expansion of im in im 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (* 1 1) into 1 0.413 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.416 * [taylor]: Taking taylor expansion of 0 in im 0.416 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.417 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.417 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 0.418 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.418 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.418 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.418 * [taylor]: Taking taylor expansion of re in im 0.418 * [backup-simplify]: Simplify re into re 0.418 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.418 * [taylor]: Taking taylor expansion of im in im 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.418 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.418 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.418 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.418 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.418 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.418 * [taylor]: Taking taylor expansion of re in re 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.418 * [taylor]: Taking taylor expansion of im in re 0.418 * [backup-simplify]: Simplify im into im 0.418 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.419 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.419 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.419 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.419 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.419 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.419 * [taylor]: Taking taylor expansion of re in re 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.419 * [taylor]: Taking taylor expansion of im in re 0.419 * [backup-simplify]: Simplify im into im 0.419 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.419 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.419 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.419 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.420 * [taylor]: Taking taylor expansion of im in im 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [taylor]: Taking taylor expansion of 0 in im 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.421 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.421 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.421 * [taylor]: Taking taylor expansion of 1/2 in im 0.421 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.423 * [taylor]: Taking taylor expansion of 0 in im 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.424 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.424 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.424 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.424 * [taylor]: Taking taylor expansion of im in im 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.425 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.425 * [taylor]: Taking taylor expansion of re in im 0.425 * [backup-simplify]: Simplify re into re 0.425 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.425 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [backup-simplify]: Simplify (sqrt 1) into 1 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.427 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.427 * [taylor]: Taking taylor expansion of im in re 0.427 * [backup-simplify]: Simplify im into im 0.427 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.427 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.427 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.427 * [taylor]: Taking taylor expansion of re in re 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [backup-simplify]: Simplify (+ 0 1) into 1 0.428 * [backup-simplify]: Simplify (sqrt 1) into 1 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.429 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.430 * [taylor]: Taking taylor expansion of im in re 0.430 * [backup-simplify]: Simplify im into im 0.430 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.430 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.430 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.430 * [taylor]: Taking taylor expansion of re in re 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [backup-simplify]: Simplify (+ 0 1) into 1 0.431 * [backup-simplify]: Simplify (sqrt 1) into 1 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.432 * [taylor]: Taking taylor expansion of 1 in im 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [taylor]: Taking taylor expansion of 0 in im 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.434 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.434 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.434 * [taylor]: Taking taylor expansion of 1/2 in im 0.434 * [backup-simplify]: Simplify 1/2 into 1/2 0.434 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.434 * [taylor]: Taking taylor expansion of im in im 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 0 into 0 0.435 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.437 * [taylor]: Taking taylor expansion of 0 in im 0.437 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.439 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.439 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.439 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.439 * [taylor]: Taking taylor expansion of im in im 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.439 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.439 * [taylor]: Taking taylor expansion of re in im 0.439 * [backup-simplify]: Simplify re into re 0.439 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.440 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.440 * [backup-simplify]: Simplify (+ 1 0) into 1 0.440 * [backup-simplify]: Simplify (sqrt 1) into 1 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.441 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.441 * [taylor]: Taking taylor expansion of im in re 0.441 * [backup-simplify]: Simplify im into im 0.441 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.442 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.442 * [taylor]: Taking taylor expansion of re in re 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (+ 0 1) into 1 0.443 * [backup-simplify]: Simplify (sqrt 1) into 1 0.443 * [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 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [backup-simplify]: Simplify (+ 0 1) into 1 0.448 * [backup-simplify]: Simplify (sqrt 1) into 1 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.449 * [taylor]: Taking taylor expansion of 1 in im 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [taylor]: Taking taylor expansion of 0 in im 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.450 * [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 0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.454 * [taylor]: Taking taylor expansion of 0 in im 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.455 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.456 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* re re) (* im im)))) into (pow (+ (pow re 2) (pow im 2)) 1/4) 0.456 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in (re im) around 0 0.456 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im 0.456 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im 0.456 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im 0.456 * [taylor]: Taking taylor expansion of 1/4 in im 0.456 * [backup-simplify]: Simplify 1/4 into 1/4 0.456 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.456 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.456 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.456 * [taylor]: Taking taylor expansion of re in im 0.456 * [backup-simplify]: Simplify re into re 0.456 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.456 * [taylor]: Taking taylor expansion of im in im 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.456 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.456 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 0.456 * [backup-simplify]: Simplify (* 1/4 (log (pow re 2))) into (* 1/4 (log (pow re 2))) 0.456 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow re 2)))) into (pow (pow re 2) 1/4) 0.456 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 0.456 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 0.456 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 0.456 * [taylor]: Taking taylor expansion of 1/4 in re 0.456 * [backup-simplify]: Simplify 1/4 into 1/4 0.456 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.456 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.456 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.456 * [taylor]: Taking taylor expansion of re in re 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.456 * [taylor]: Taking taylor expansion of im in re 0.456 * [backup-simplify]: Simplify im into im 0.457 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.457 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.457 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.457 * [backup-simplify]: Simplify (* 1/4 (log (pow im 2))) into (* 1/4 (log (pow im 2))) 0.457 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 2)))) into (pow (pow im 2) 1/4) 0.457 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 0.457 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 0.457 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 0.457 * [taylor]: Taking taylor expansion of 1/4 in re 0.457 * [backup-simplify]: Simplify 1/4 into 1/4 0.457 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.457 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.457 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.457 * [taylor]: Taking taylor expansion of re in re 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.457 * [taylor]: Taking taylor expansion of im in re 0.457 * [backup-simplify]: Simplify im into im 0.457 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.457 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.457 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.457 * [backup-simplify]: Simplify (* 1/4 (log (pow im 2))) into (* 1/4 (log (pow im 2))) 0.457 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 2)))) into (pow (pow im 2) 1/4) 0.458 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/4) in im 0.458 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 2)))) in im 0.458 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 2))) in im 0.458 * [taylor]: Taking taylor expansion of 1/4 in im 0.458 * [backup-simplify]: Simplify 1/4 into 1/4 0.458 * [taylor]: Taking taylor expansion of (log (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 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (log 1) into 0 0.458 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.458 * [backup-simplify]: Simplify (* 1/4 (* 2 (log im))) into (* 1/2 (log im)) 0.458 * [backup-simplify]: Simplify (exp (* 1/2 (log im))) into (pow im 1/2) 0.459 * [backup-simplify]: Simplify (pow im 1/2) into (pow im 1/2) 0.459 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 0.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow im 2)))) into 0 0.460 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.460 * [taylor]: Taking taylor expansion of 0 in im 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.462 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.462 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 2 (log im)))) into 0 0.463 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.463 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [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)) 0.465 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/4 (/ 1 (pow im 2))) 0.465 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 0.465 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 0.465 * [taylor]: Taking taylor expansion of 1/4 in im 0.465 * [backup-simplify]: Simplify 1/4 into 1/4 0.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.466 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.466 * [taylor]: Taking taylor expansion of im in im 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [backup-simplify]: Simplify (sqrt 0) into 0 0.467 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.471 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.471 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.471 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.473 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.473 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.474 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 0.475 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [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 0.478 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 0.479 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.479 * [taylor]: Taking taylor expansion of 0 in im 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.484 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.484 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.485 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* im (pow re 2))) (+ (* (- +nan.0) (pow (* 1 re) 2)) (pow im 1/2))) into (- (pow im 1/2) (+ (* +nan.0 (* (pow re 2) im)) (- (* +nan.0 (pow re 2))))) 0.485 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 0.485 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in (re im) around 0 0.485 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 0.485 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.485 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.485 * [taylor]: Taking taylor expansion of 1/4 in im 0.485 * [backup-simplify]: Simplify 1/4 into 1/4 0.485 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.485 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 (* 1 1) into 1 0.486 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.486 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.486 * [taylor]: Taking taylor expansion of re in im 0.486 * [backup-simplify]: Simplify re into re 0.486 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.486 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.486 * [backup-simplify]: Simplify (+ 1 0) into 1 0.486 * [backup-simplify]: Simplify (log 1) into 0 0.487 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.487 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log im)))) into (* -1/2 (log im)) 0.487 * [backup-simplify]: Simplify (exp (* -1/2 (log im))) into (pow im -1/2) 0.487 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.487 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.487 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.487 * [taylor]: Taking taylor expansion of 1/4 in re 0.487 * [backup-simplify]: Simplify 1/4 into 1/4 0.487 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.487 * [taylor]: Taking taylor expansion of im in re 0.487 * [backup-simplify]: Simplify im into im 0.487 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.487 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.487 * [taylor]: Taking taylor expansion of re in re 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [backup-simplify]: Simplify (+ 0 1) into 1 0.488 * [backup-simplify]: Simplify (log 1) into 0 0.488 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.488 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 0.488 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 0.488 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.488 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.488 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.489 * [taylor]: Taking taylor expansion of 1/4 in re 0.489 * [backup-simplify]: Simplify 1/4 into 1/4 0.489 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.489 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.489 * [taylor]: Taking taylor expansion of im in re 0.489 * [backup-simplify]: Simplify im into im 0.489 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.489 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.489 * [taylor]: Taking taylor expansion of re in re 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (/ 1 1) into 1 0.489 * [backup-simplify]: Simplify (+ 0 1) into 1 0.490 * [backup-simplify]: Simplify (log 1) into 0 0.490 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.490 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 0.490 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 0.490 * [taylor]: Taking taylor expansion of (pow re -1/2) in im 0.490 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log re))) in im 0.490 * [taylor]: Taking taylor expansion of (* -1/2 (log re)) in im 0.490 * [taylor]: Taking taylor expansion of -1/2 in im 0.490 * [backup-simplify]: Simplify -1/2 into -1/2 0.490 * [taylor]: Taking taylor expansion of (log re) in im 0.490 * [taylor]: Taking taylor expansion of re in im 0.490 * [backup-simplify]: Simplify re into re 0.490 * [backup-simplify]: Simplify (log re) into (log re) 0.490 * [backup-simplify]: Simplify (* -1/2 (log re)) into (* -1/2 (log re)) 0.490 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 0.490 * [backup-simplify]: Simplify (pow re -1/2) into (pow re -1/2) 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.492 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.493 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log re))))) into 0 0.493 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.493 * [taylor]: Taking taylor expansion of 0 in im 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.494 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log re))) into 0 0.494 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.497 * [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)) 0.497 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.497 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/4 (/ 1 (pow im 2))) 0.498 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 0.498 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) in im 0.498 * [taylor]: Taking taylor expansion of 1/4 in im 0.498 * [backup-simplify]: Simplify 1/4 into 1/4 0.498 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 re)) (/ 1 (pow im 2))) in im 0.498 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in im 0.498 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.498 * [taylor]: Taking taylor expansion of re in im 0.498 * [backup-simplify]: Simplify re into re 0.498 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.498 * [backup-simplify]: Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re)) 0.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.498 * [taylor]: Taking taylor expansion of im in im 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 re)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.502 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (* (sqrt (/ 1 re)) 1) into (sqrt (/ 1 re)) 0.502 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 re))))) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.504 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.505 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [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 0.508 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.509 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.510 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.510 * [taylor]: Taking taylor expansion of 0 in im 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (pow (/ 1 re) -1/2) into (pow (/ 1 re) -1/2) 0.511 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 0.511 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in (re im) around 0 0.511 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 0.511 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.511 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.511 * [taylor]: Taking taylor expansion of 1/4 in im 0.511 * [backup-simplify]: Simplify 1/4 into 1/4 0.511 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.511 * [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 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.512 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.512 * [taylor]: Taking taylor expansion of re in im 0.512 * [backup-simplify]: Simplify re into re 0.512 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.512 * [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 (log 1) into 0 0.512 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.513 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log im)))) into (* -1/2 (log im)) 0.513 * [backup-simplify]: Simplify (exp (* -1/2 (log im))) into (pow im -1/2) 0.513 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.513 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.513 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.513 * [taylor]: Taking taylor expansion of 1/4 in re 0.513 * [backup-simplify]: Simplify 1/4 into 1/4 0.513 * [taylor]: Taking taylor expansion of (log (+ (/ 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) 0.513 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.513 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.513 * [taylor]: Taking taylor expansion of re in re 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [backup-simplify]: Simplify (+ 0 1) into 1 0.514 * [backup-simplify]: Simplify (log 1) into 0 0.514 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.514 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 0.514 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 0.514 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.514 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.514 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.514 * [taylor]: Taking taylor expansion of 1/4 in re 0.514 * [backup-simplify]: Simplify 1/4 into 1/4 0.514 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.514 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.514 * [taylor]: Taking taylor expansion of im in re 0.514 * [backup-simplify]: Simplify im into im 0.514 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.515 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.515 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.515 * [taylor]: Taking taylor expansion of re in re 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [backup-simplify]: Simplify (+ 0 1) into 1 0.516 * [backup-simplify]: Simplify (log 1) into 0 0.516 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.516 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 0.516 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 0.516 * [taylor]: Taking taylor expansion of (pow re -1/2) in im 0.516 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log re))) in im 0.516 * [taylor]: Taking taylor expansion of (* -1/2 (log re)) in im 0.516 * [taylor]: Taking taylor expansion of -1/2 in im 0.516 * [backup-simplify]: Simplify -1/2 into -1/2 0.516 * [taylor]: Taking taylor expansion of (log re) in im 0.516 * [taylor]: Taking taylor expansion of re in im 0.516 * [backup-simplify]: Simplify re into re 0.516 * [backup-simplify]: Simplify (log re) into (log re) 0.516 * [backup-simplify]: Simplify (* -1/2 (log re)) into (* -1/2 (log re)) 0.516 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 0.516 * [backup-simplify]: Simplify (pow re -1/2) into (pow re -1/2) 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.518 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.519 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log re))))) into 0 0.519 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.519 * [taylor]: Taking taylor expansion of 0 in im 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.520 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log re))) into 0 0.520 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.523 * [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)) 0.523 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.523 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/4 (/ 1 (pow im 2))) 0.524 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 0.524 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) in im 0.524 * [taylor]: Taking taylor expansion of 1/4 in im 0.524 * [backup-simplify]: Simplify 1/4 into 1/4 0.524 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 re)) (/ 1 (pow im 2))) in im 0.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in im 0.524 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.524 * [taylor]: Taking taylor expansion of re in im 0.524 * [backup-simplify]: Simplify re into re 0.524 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.524 * [backup-simplify]: Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re)) 0.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.524 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.524 * [taylor]: Taking taylor expansion of im in im 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.527 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 re)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.528 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (* (sqrt (/ 1 re)) 1) into (sqrt (/ 1 re)) 0.528 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 re))))) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.530 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.530 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [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 0.534 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.535 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.536 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.536 * [taylor]: Taking taylor expansion of 0 in im 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/2) into (pow (/ -1 re) -1/2) 0.536 * * * [progress]: simplifying candidates 0.541 * [simplify]: Simplifying: 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re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* re re) (* im im)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- (pow im 1/2) (+ (* +nan.0 (* (pow re 2) im)) (- (* +nan.0 (pow re 2))))) (pow (/ 1 re) -1/2) (pow (/ -1 re) -1/2) 0.542 * [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 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h0))))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))) (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt 1) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (- (* h1 h1) (* h0 h0)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- (pow h0 1/2) (+ (* h2 (* (pow h1 2) h0)) (- (* h2 (pow h1 2))))) (pow (/ 1 h1) -1/2) (pow (/ -1 h1) -1/2) 0.548 * * [simplify]: iteration 0 : 251 enodes (cost 1056 ) 0.554 * * [simplify]: iteration 1 : 951 enodes (cost 985 ) 0.579 * * [simplify]: iteration 2 : 5002 enodes (cost 964 ) 0.584 * * * [progress]: adding candidates to table 0.808 * * [progress]: iteration 3 / 4 0.809 * * * [progress]: picking best candidate 0.813 * * * * [pick]: Picked # 0.813 * * * [progress]: localizing error 0.826 * * * [progress]: generating rewritten candidates 0.826 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.834 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.841 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 0.849 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.863 * * * [progress]: generating series expansions 0.863 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.863 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.863 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.863 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.863 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.863 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.863 * [taylor]: Taking taylor expansion of re in im 0.863 * [backup-simplify]: Simplify re into re 0.863 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.863 * [taylor]: Taking taylor expansion of im in im 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.863 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.863 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.863 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.864 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.864 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.864 * [taylor]: Taking taylor expansion of re in re 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.864 * [taylor]: Taking taylor expansion of im in re 0.864 * [backup-simplify]: Simplify im into im 0.864 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.864 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.864 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.864 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.865 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.865 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.865 * [taylor]: Taking taylor expansion of re in re 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.865 * [taylor]: Taking taylor expansion of im in re 0.865 * [backup-simplify]: Simplify im into im 0.865 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.865 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.865 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.865 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.865 * [taylor]: Taking taylor expansion of im in im 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [taylor]: Taking taylor expansion of 0 in im 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [backup-simplify]: Simplify (* 1 1) into 1 0.866 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.866 * [backup-simplify]: Simplify (+ 1 0) into 1 0.867 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.867 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.867 * [taylor]: Taking taylor expansion of 1/2 in im 0.867 * [backup-simplify]: Simplify 1/2 into 1/2 0.867 * [taylor]: Taking taylor expansion of im in im 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.873 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.873 * [backup-simplify]: Simplify (+ 0 0) into 0 0.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.873 * [taylor]: Taking taylor expansion of 0 in im 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.875 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.875 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.875 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.875 * [taylor]: Taking taylor expansion of im in im 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (* 1 1) into 1 0.876 * [backup-simplify]: Simplify (/ 1 1) into 1 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.876 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.876 * [taylor]: Taking taylor expansion of re in im 0.876 * [backup-simplify]: Simplify re into re 0.876 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.876 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.877 * [backup-simplify]: Simplify (+ 1 0) into 1 0.877 * [backup-simplify]: Simplify (sqrt 1) into 1 0.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (+ 0 0) into 0 0.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.879 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.879 * [taylor]: Taking taylor expansion of im in re 0.879 * [backup-simplify]: Simplify im into im 0.880 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.880 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.880 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.880 * [taylor]: Taking taylor expansion of re in re 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (* 1 1) into 1 0.880 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [backup-simplify]: Simplify (+ 0 1) into 1 0.882 * [backup-simplify]: Simplify (sqrt 1) into 1 0.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (+ 0 0) into 0 0.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.884 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.884 * [taylor]: Taking taylor expansion of im in re 0.884 * [backup-simplify]: Simplify im into im 0.884 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.884 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.884 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (* 1 1) into 1 0.885 * [backup-simplify]: Simplify (/ 1 1) into 1 0.885 * [backup-simplify]: Simplify (+ 0 1) into 1 0.886 * [backup-simplify]: Simplify (sqrt 1) into 1 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.888 * [taylor]: Taking taylor expansion of 1 in im 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of 0 in im 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.891 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.892 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.892 * [taylor]: Taking taylor expansion of 1/2 in im 0.892 * [backup-simplify]: Simplify 1/2 into 1/2 0.892 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.892 * [taylor]: Taking taylor expansion of im in im 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (* 1 1) into 1 0.893 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ 0 0) into 0 0.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.897 * [taylor]: Taking taylor expansion of 0 in im 0.897 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.899 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.899 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.899 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.899 * [taylor]: Taking taylor expansion of im in im 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.899 * [backup-simplify]: Simplify (* 1 1) into 1 0.899 * [backup-simplify]: Simplify (/ 1 1) into 1 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.899 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.899 * [taylor]: Taking taylor expansion of re in im 0.899 * [backup-simplify]: Simplify re into re 0.899 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.899 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.900 * [backup-simplify]: Simplify (+ 1 0) into 1 0.900 * [backup-simplify]: Simplify (sqrt 1) into 1 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ 0 0) into 0 0.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.901 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.901 * [taylor]: Taking taylor expansion of im in re 0.901 * [backup-simplify]: Simplify im into im 0.902 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.902 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.902 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.902 * [taylor]: Taking taylor expansion of re in re 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (* 1 1) into 1 0.902 * [backup-simplify]: Simplify (/ 1 1) into 1 0.902 * [backup-simplify]: Simplify (+ 0 1) into 1 0.903 * [backup-simplify]: Simplify (sqrt 1) into 1 0.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (+ 0 0) into 0 0.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.904 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.904 * [taylor]: Taking taylor expansion of im in re 0.904 * [backup-simplify]: Simplify im into im 0.904 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.904 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.904 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.904 * [taylor]: Taking taylor expansion of re in re 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (/ 1 1) into 1 0.905 * [backup-simplify]: Simplify (+ 0 1) into 1 0.905 * [backup-simplify]: Simplify (sqrt 1) into 1 0.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.907 * [taylor]: Taking taylor expansion of 1 in im 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [taylor]: Taking taylor expansion of 0 in im 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.909 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.909 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.909 * [taylor]: Taking taylor expansion of 1/2 in im 0.909 * [backup-simplify]: Simplify 1/2 into 1/2 0.909 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.909 * [taylor]: Taking taylor expansion of im in im 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (* 1 1) into 1 0.909 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.912 * [taylor]: Taking taylor expansion of 0 in im 0.912 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.913 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 0.913 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.913 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.914 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.914 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.914 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.914 * [taylor]: Taking taylor expansion of re in im 0.914 * [backup-simplify]: Simplify re into re 0.914 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.914 * [taylor]: Taking taylor expansion of im in im 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.914 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.914 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.914 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.914 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.914 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.914 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.914 * [taylor]: Taking taylor expansion of re in re 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.914 * [taylor]: Taking taylor expansion of im in re 0.914 * [backup-simplify]: Simplify im into im 0.914 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.914 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.915 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.915 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.915 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.915 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.915 * [taylor]: Taking taylor expansion of re in re 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.915 * [taylor]: Taking taylor expansion of im in re 0.915 * [backup-simplify]: Simplify im into im 0.915 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.915 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.915 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.915 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.916 * [taylor]: Taking taylor expansion of im in im 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [taylor]: Taking taylor expansion of 0 in im 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [backup-simplify]: Simplify (* 1 1) into 1 0.916 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.917 * [backup-simplify]: Simplify (+ 1 0) into 1 0.917 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.917 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.917 * [taylor]: Taking taylor expansion of 1/2 in im 0.917 * [backup-simplify]: Simplify 1/2 into 1/2 0.917 * [taylor]: Taking taylor expansion of im in im 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.919 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.919 * [taylor]: Taking taylor expansion of 0 in im 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.920 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.920 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.920 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.920 * [taylor]: Taking taylor expansion of im in im 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (* 1 1) into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.921 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.921 * [taylor]: Taking taylor expansion of re in im 0.921 * [backup-simplify]: Simplify re into re 0.921 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.921 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.921 * [backup-simplify]: Simplify (+ 1 0) into 1 0.921 * [backup-simplify]: Simplify (sqrt 1) into 1 0.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ 0 0) into 0 0.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.923 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.923 * [taylor]: Taking taylor expansion of im in re 0.923 * [backup-simplify]: Simplify im into im 0.923 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.923 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.923 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.923 * [taylor]: Taking taylor expansion of re in re 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (* 1 1) into 1 0.923 * [backup-simplify]: Simplify (/ 1 1) into 1 0.924 * [backup-simplify]: Simplify (+ 0 1) into 1 0.924 * [backup-simplify]: Simplify (sqrt 1) into 1 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.925 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.925 * [taylor]: Taking taylor expansion of im in re 0.925 * [backup-simplify]: Simplify im into im 0.925 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.925 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.925 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.925 * [taylor]: Taking taylor expansion of re in re 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (* 1 1) into 1 0.926 * [backup-simplify]: Simplify (/ 1 1) into 1 0.926 * [backup-simplify]: Simplify (+ 0 1) into 1 0.926 * [backup-simplify]: Simplify (sqrt 1) into 1 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.928 * [taylor]: Taking taylor expansion of 1 in im 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [taylor]: Taking taylor expansion of 0 in im 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.930 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.930 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.930 * [taylor]: Taking taylor expansion of 1/2 in im 0.930 * [backup-simplify]: Simplify 1/2 into 1/2 0.930 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.930 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.933 * [taylor]: Taking taylor expansion of 0 in im 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.934 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.934 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.934 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.934 * [taylor]: Taking taylor expansion of im in im 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (* 1 1) into 1 0.935 * [backup-simplify]: Simplify (/ 1 1) into 1 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.935 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.935 * [taylor]: Taking taylor expansion of re in im 0.935 * [backup-simplify]: Simplify re into re 0.935 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.935 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.935 * [backup-simplify]: Simplify (+ 1 0) into 1 0.935 * [backup-simplify]: Simplify (sqrt 1) into 1 0.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.937 * [taylor]: Taking taylor expansion of im in re 0.937 * [backup-simplify]: Simplify im into im 0.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.937 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.937 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.937 * [taylor]: Taking taylor expansion of re in re 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (* 1 1) into 1 0.938 * [backup-simplify]: Simplify (/ 1 1) into 1 0.938 * [backup-simplify]: Simplify (+ 0 1) into 1 0.938 * [backup-simplify]: Simplify (sqrt 1) into 1 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.940 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.940 * [taylor]: Taking taylor expansion of im in re 0.940 * [backup-simplify]: Simplify im into im 0.940 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.940 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.940 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.940 * [taylor]: Taking taylor expansion of re in re 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify (* 1 1) into 1 0.940 * [backup-simplify]: Simplify (/ 1 1) into 1 0.940 * [backup-simplify]: Simplify (+ 0 1) into 1 0.941 * [backup-simplify]: Simplify (sqrt 1) into 1 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.942 * [taylor]: Taking taylor expansion of 1 in im 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [taylor]: Taking taylor expansion of 0 in im 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.943 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.944 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.944 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.944 * [taylor]: Taking taylor expansion of 1/2 in im 0.944 * [backup-simplify]: Simplify 1/2 into 1/2 0.944 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.944 * [taylor]: Taking taylor expansion of im in im 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (* 1 1) into 1 0.945 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.948 * [taylor]: Taking taylor expansion of 0 in im 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.949 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 0.949 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.949 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.949 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.949 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.949 * [taylor]: Taking taylor expansion of re in im 0.949 * [backup-simplify]: Simplify re into re 0.949 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.949 * [taylor]: Taking taylor expansion of im in im 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.949 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.950 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.950 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.950 * [backup-simplify]: Simplify (+ 0 0) into 0 0.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.950 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.950 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.950 * [taylor]: Taking taylor expansion of re in re 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.950 * [taylor]: Taking taylor expansion of im in re 0.950 * [backup-simplify]: Simplify im into im 0.950 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.950 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.950 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.950 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.951 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.951 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.951 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.951 * [taylor]: Taking taylor expansion of re in re 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.951 * [taylor]: Taking taylor expansion of im in re 0.951 * [backup-simplify]: Simplify im into im 0.951 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.951 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.951 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.951 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.951 * [taylor]: Taking taylor expansion of im in im 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [taylor]: Taking taylor expansion of 0 in im 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [backup-simplify]: Simplify (* 1 1) into 1 0.952 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.952 * [backup-simplify]: Simplify (+ 1 0) into 1 0.953 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.953 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.953 * [taylor]: Taking taylor expansion of 1/2 in im 0.953 * [backup-simplify]: Simplify 1/2 into 1/2 0.953 * [taylor]: Taking taylor expansion of im in im 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.954 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.955 * [taylor]: Taking taylor expansion of 0 in im 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.956 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.956 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.956 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.956 * [taylor]: Taking taylor expansion of im in im 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.956 * [backup-simplify]: Simplify (* 1 1) into 1 0.956 * [backup-simplify]: Simplify (/ 1 1) into 1 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.956 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.956 * [taylor]: Taking taylor expansion of re in im 0.956 * [backup-simplify]: Simplify re into re 0.956 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.956 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.957 * [backup-simplify]: Simplify (+ 1 0) into 1 0.957 * [backup-simplify]: Simplify (sqrt 1) into 1 0.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (+ 0 0) into 0 0.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.958 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.958 * [taylor]: Taking taylor expansion of im in re 0.958 * [backup-simplify]: Simplify im into im 0.958 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.958 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.959 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.959 * [taylor]: Taking taylor expansion of re in re 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (* 1 1) into 1 0.959 * [backup-simplify]: Simplify (/ 1 1) into 1 0.959 * [backup-simplify]: Simplify (+ 0 1) into 1 0.959 * [backup-simplify]: Simplify (sqrt 1) into 1 0.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.961 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.961 * [taylor]: Taking taylor expansion of im in re 0.961 * [backup-simplify]: Simplify im into im 0.961 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.961 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.961 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.961 * [taylor]: Taking taylor expansion of re in re 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (* 1 1) into 1 0.962 * [backup-simplify]: Simplify (/ 1 1) into 1 0.962 * [backup-simplify]: Simplify (+ 0 1) into 1 0.962 * [backup-simplify]: Simplify (sqrt 1) into 1 0.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (+ 0 0) into 0 0.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.964 * [taylor]: Taking taylor expansion of 1 in im 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [taylor]: Taking taylor expansion of 0 in im 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.965 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.966 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.966 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.966 * [taylor]: Taking taylor expansion of 1/2 in im 0.966 * [backup-simplify]: Simplify 1/2 into 1/2 0.966 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.966 * [taylor]: Taking taylor expansion of im in im 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (* 1 1) into 1 0.966 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (+ 0 0) into 0 0.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.969 * [taylor]: Taking taylor expansion of 0 in im 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.970 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.970 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.970 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.970 * [taylor]: Taking taylor expansion of im in im 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (* 1 1) into 1 0.971 * [backup-simplify]: Simplify (/ 1 1) into 1 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.971 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.971 * [taylor]: Taking taylor expansion of re in im 0.971 * [backup-simplify]: Simplify re into re 0.971 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.971 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.971 * [backup-simplify]: Simplify (+ 1 0) into 1 0.972 * [backup-simplify]: Simplify (sqrt 1) into 1 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.973 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.973 * [taylor]: Taking taylor expansion of im in re 0.973 * [backup-simplify]: Simplify im into im 0.973 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.973 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.973 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.973 * [taylor]: Taking taylor expansion of re in re 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (* 1 1) into 1 0.974 * [backup-simplify]: Simplify (/ 1 1) into 1 0.974 * [backup-simplify]: Simplify (+ 0 1) into 1 0.974 * [backup-simplify]: Simplify (sqrt 1) into 1 0.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (+ 0 0) into 0 0.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.978 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.978 * [taylor]: Taking taylor expansion of im in re 0.978 * [backup-simplify]: Simplify im into im 0.978 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.978 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.978 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.978 * [taylor]: Taking taylor expansion of re in re 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (/ 1 1) into 1 0.979 * [backup-simplify]: Simplify (+ 0 1) into 1 0.979 * [backup-simplify]: Simplify (sqrt 1) into 1 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (+ 0 0) into 0 0.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.981 * [taylor]: Taking taylor expansion of 1 in im 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [taylor]: Taking taylor expansion of 0 in im 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.983 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.983 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.983 * [taylor]: Taking taylor expansion of 1/2 in im 0.983 * [backup-simplify]: Simplify 1/2 into 1/2 0.983 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.983 * [taylor]: Taking taylor expansion of im in im 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (* 1 1) into 1 0.983 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.986 * [taylor]: Taking taylor expansion of 0 in im 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.987 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.987 * [backup-simplify]: Simplify (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) into (pow (pow (+ (pow re 2) (pow im 2)) 1/12) 4) 0.987 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/12) 4) in (re im) around 0 0.987 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/12) 4) in im 0.987 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/12) in im 0.988 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (pow re 2) (pow im 2))))) in im 0.988 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (pow re 2) (pow im 2)))) in im 0.988 * [taylor]: Taking taylor expansion of 1/12 in im 0.988 * [backup-simplify]: Simplify 1/12 into 1/12 0.988 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.988 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.988 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.988 * [taylor]: Taking taylor expansion of re in im 0.988 * [backup-simplify]: Simplify re into re 0.988 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.988 * [taylor]: Taking taylor expansion of im in im 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.988 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.988 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 0.988 * [backup-simplify]: Simplify (* 1/12 (log (pow re 2))) into (* 1/12 (log (pow re 2))) 0.988 * [backup-simplify]: Simplify (exp (* 1/12 (log (pow re 2)))) into (pow (pow re 2) 1/12) 0.988 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/12) 4) in re 0.988 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/12) in re 0.988 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (pow re 2) (pow im 2))))) in re 0.988 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (pow re 2) (pow im 2)))) in re 0.988 * [taylor]: Taking taylor expansion of 1/12 in re 0.988 * [backup-simplify]: Simplify 1/12 into 1/12 0.988 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.988 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.988 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.988 * [taylor]: Taking taylor expansion of re in re 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.988 * [taylor]: Taking taylor expansion of im in re 0.988 * [backup-simplify]: Simplify im into im 0.988 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.988 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.989 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.989 * [backup-simplify]: Simplify (* 1/12 (log (pow im 2))) into (* 1/12 (log (pow im 2))) 0.989 * [backup-simplify]: Simplify (exp (* 1/12 (log (pow im 2)))) into (pow (pow im 2) 1/12) 0.989 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/12) 4) in re 0.989 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/12) in re 0.989 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (pow re 2) (pow im 2))))) in re 0.989 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (pow re 2) (pow im 2)))) in re 0.989 * [taylor]: Taking taylor expansion of 1/12 in re 0.989 * [backup-simplify]: Simplify 1/12 into 1/12 0.989 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.989 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.989 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.989 * [taylor]: Taking taylor expansion of re in re 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.989 * [taylor]: Taking taylor expansion of im in re 0.989 * [backup-simplify]: Simplify im into im 0.989 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.989 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.989 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.989 * [backup-simplify]: Simplify (* 1/12 (log (pow im 2))) into (* 1/12 (log (pow im 2))) 0.989 * [backup-simplify]: Simplify (exp (* 1/12 (log (pow im 2)))) into (pow (pow im 2) 1/12) 0.990 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/12) (pow (pow im 2) 1/12)) into (pow im 1/3) 0.990 * [backup-simplify]: Simplify (* (pow im 1/3) (pow im 1/3)) into (pow (pow im 2) 1/3) 0.990 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 0.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 0.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 0.990 * [taylor]: Taking taylor expansion of 1/3 in im 0.990 * [backup-simplify]: Simplify 1/3 into 1/3 0.990 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 0.990 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.990 * [taylor]: Taking taylor expansion of im in im 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 1 into 1 0.990 * [backup-simplify]: Simplify (* 1 1) into 1 0.990 * [backup-simplify]: Simplify (log 1) into 0 0.991 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.991 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 0.991 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 0.991 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 0.991 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 0.992 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (log (pow im 2)))) into 0 0.993 * [backup-simplify]: Simplify (* (exp (* 1/12 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.993 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/12) 0) (* 0 (pow (pow im 2) 1/12))) into 0 0.993 * [backup-simplify]: Simplify (+ (* (pow im 1/3) 0) (* 0 (pow im 1/3))) into 0 0.993 * [taylor]: Taking taylor expansion of 0 in im 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.995 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.995 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 0.995 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (* 1 1) into 1 0.996 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.996 * [backup-simplify]: Simplify (+ 1 0) into 1 0.997 * [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)) 0.998 * [backup-simplify]: Simplify (+ (* 1/12 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/12 (/ 1 (pow im 2))) 0.998 * [backup-simplify]: Simplify (* (exp (* 1/12 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)))) into (* 1/12 (pow (/ 1 (pow im 11)) 1/6)) 0.999 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/12) (* 1/12 (pow (/ 1 (pow im 11)) 1/6))) (+ (* 0 0) (* (* 1/12 (pow (/ 1 (pow im 11)) 1/6)) (pow (pow im 2) 1/12)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.000 * [backup-simplify]: Simplify (+ (* (pow im 1/3) (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* 0 0) (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow im 1/3)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.000 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 1.000 * [taylor]: Taking taylor expansion of 1/3 in im 1.000 * [backup-simplify]: Simplify 1/3 into 1/3 1.000 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.000 * [taylor]: Taking taylor expansion of 1/3 in im 1.000 * [backup-simplify]: Simplify 1/3 into 1/3 1.000 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.000 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.000 * [taylor]: Taking taylor expansion of im in im 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (/ 1 1) into 1 1.001 * [backup-simplify]: Simplify (log 1) into 0 1.001 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.001 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 1.001 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 1.001 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.001 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.001 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.003 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.004 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.004 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 1.005 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.006 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.006 * [backup-simplify]: Simplify (+ 0 0) into 0 1.008 * [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 1.008 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 1.010 * [backup-simplify]: Simplify (* (exp (* 1/12 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.010 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/12) 0) (+ (* 0 (* 1/12 (pow (/ 1 (pow im 11)) 1/6))) (+ (* (* 1/12 (pow (/ 1 (pow im 11)) 1/6)) 0) (* 0 (pow (pow im 2) 1/12))))) into 0 1.011 * [backup-simplify]: Simplify (+ (* (pow im 1/3) 0) (+ (* 0 (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 0) (* 0 (pow im 1/3))))) into 0 1.011 * [taylor]: Taking taylor expansion of 0 in im 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.013 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.013 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 1.013 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.014 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.017 * [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 1.017 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.018 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 1.019 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 1.019 * [backup-simplify]: Simplify (pow (cbrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 4) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) 4) 1.019 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) 4) in (re im) around 0 1.019 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) 4) in im 1.019 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) in im 1.019 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.019 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.019 * [taylor]: Taking taylor expansion of 1/12 in im 1.019 * [backup-simplify]: Simplify 1/12 into 1/12 1.019 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.020 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.020 * [taylor]: Taking taylor expansion of im in im 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify (* 1 1) into 1 1.020 * [backup-simplify]: Simplify (/ 1 1) into 1 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.020 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.020 * [taylor]: Taking taylor expansion of re in im 1.020 * [backup-simplify]: Simplify re into re 1.020 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.020 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.021 * [backup-simplify]: Simplify (+ 1 0) into 1 1.021 * [backup-simplify]: Simplify (log 1) into 0 1.021 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.021 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log im)))) into (* -1/6 (log im)) 1.021 * [backup-simplify]: Simplify (exp (* -1/6 (log im))) into (pow im -1/6) 1.021 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) 4) in re 1.021 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) in re 1.021 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.021 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.021 * [taylor]: Taking taylor expansion of 1/12 in re 1.021 * [backup-simplify]: Simplify 1/12 into 1/12 1.021 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.021 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.021 * [taylor]: Taking taylor expansion of im in re 1.021 * [backup-simplify]: Simplify im into im 1.021 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.021 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.022 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.022 * [taylor]: Taking taylor expansion of re in re 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.022 * [backup-simplify]: Simplify (* 1 1) into 1 1.022 * [backup-simplify]: Simplify (/ 1 1) into 1 1.022 * [backup-simplify]: Simplify (+ 0 1) into 1 1.022 * [backup-simplify]: Simplify (log 1) into 0 1.023 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.023 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log re)))) into (* -1/6 (log re)) 1.023 * [backup-simplify]: Simplify (exp (* -1/6 (log re))) into (pow re -1/6) 1.023 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) 4) in re 1.023 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) in re 1.023 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.023 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.023 * [taylor]: Taking taylor expansion of 1/12 in re 1.023 * [backup-simplify]: Simplify 1/12 into 1/12 1.023 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.023 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.023 * [taylor]: Taking taylor expansion of im in re 1.023 * [backup-simplify]: Simplify im into im 1.023 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.023 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.023 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.023 * [taylor]: Taking taylor expansion of re in re 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.024 * [backup-simplify]: Simplify (* 1 1) into 1 1.024 * [backup-simplify]: Simplify (/ 1 1) into 1 1.024 * [backup-simplify]: Simplify (+ 0 1) into 1 1.024 * [backup-simplify]: Simplify (log 1) into 0 1.025 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.025 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log re)))) into (* -1/6 (log re)) 1.025 * [backup-simplify]: Simplify (exp (* -1/6 (log re))) into (pow re -1/6) 1.025 * [backup-simplify]: Simplify (* (pow re -1/6) (pow re -1/6)) into (pow (/ 1 re) 1/3) 1.025 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (pow (/ 1 re) 1/3)) into (pow (/ 1 (pow re 2)) 1/3) 1.025 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.025 * [taylor]: Taking taylor expansion of 1/3 in im 1.025 * [backup-simplify]: Simplify 1/3 into 1/3 1.025 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.025 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.025 * [taylor]: Taking taylor expansion of re in im 1.025 * [backup-simplify]: Simplify re into re 1.025 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.025 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.025 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.026 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.026 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.026 * [backup-simplify]: Simplify (pow (/ 1 (pow re 2)) 1/3) into (pow (/ 1 (pow re 2)) 1/3) 1.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.027 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.028 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.028 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (- (* 2 (log re))))) into 0 1.029 * [backup-simplify]: Simplify (* (exp (* -1/6 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ (* (pow re -1/6) 0) (* 0 (pow re -1/6))) into 0 1.029 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 (pow (/ 1 re) 1/3))) into 0 1.029 * [taylor]: Taking taylor expansion of 0 in im 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.030 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.031 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.033 * [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)) 1.033 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.034 * [backup-simplify]: Simplify (+ (* 1/12 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/12 (/ 1 (pow im 2))) 1.034 * [backup-simplify]: Simplify (* (exp (* -1/6 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)))) into (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2)))) 1.035 * [backup-simplify]: Simplify (+ (* (pow re -1/6) (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2)))) (pow re -1/6)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 1.036 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) (pow (/ 1 re) 1/3)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.036 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.036 * [taylor]: Taking taylor expansion of 1/3 in im 1.036 * [backup-simplify]: Simplify 1/3 into 1/3 1.036 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.036 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.036 * [taylor]: Taking taylor expansion of 1/3 in im 1.036 * [backup-simplify]: Simplify 1/3 into 1/3 1.036 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.036 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.036 * [taylor]: Taking taylor expansion of re in im 1.036 * [backup-simplify]: Simplify re into re 1.036 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.036 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.036 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.037 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.037 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.037 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.037 * [taylor]: Taking taylor expansion of im in im 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 1 into 1 1.037 * [backup-simplify]: Simplify (* 1 1) into 1 1.037 * [backup-simplify]: Simplify (/ 1 1) into 1 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.041 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.042 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.043 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.044 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.045 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.045 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.045 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.048 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (+ 0 0) into 0 1.052 * [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 1.052 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.053 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.054 * [backup-simplify]: Simplify (* (exp (* -1/6 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.054 * [backup-simplify]: Simplify (+ (* (pow re -1/6) 0) (+ (* 0 (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2))))) (+ (* (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/6))))) into 0 1.055 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))) (+ (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 0) (* 0 (pow (/ 1 re) 1/3))))) into 0 1.055 * [taylor]: Taking taylor expansion of 0 in im 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 2)) 1/3) into (pow (pow re 2) 1/3) 1.055 * [backup-simplify]: Simplify (pow (cbrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 4) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) 4) 1.055 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) 4) in (re im) around 0 1.055 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) 4) in im 1.056 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) in im 1.056 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.056 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.056 * [taylor]: Taking taylor expansion of 1/12 in im 1.056 * [backup-simplify]: Simplify 1/12 into 1/12 1.056 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.056 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.056 * [taylor]: Taking taylor expansion of im in im 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [backup-simplify]: Simplify (* 1 1) into 1 1.056 * [backup-simplify]: Simplify (/ 1 1) into 1 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.056 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.056 * [taylor]: Taking taylor expansion of re in im 1.056 * [backup-simplify]: Simplify re into re 1.056 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.056 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.057 * [backup-simplify]: Simplify (+ 1 0) into 1 1.057 * [backup-simplify]: Simplify (log 1) into 0 1.057 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.057 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log im)))) into (* -1/6 (log im)) 1.057 * [backup-simplify]: Simplify (exp (* -1/6 (log im))) into (pow im -1/6) 1.057 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) 4) in re 1.057 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) in re 1.057 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.057 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.057 * [taylor]: Taking taylor expansion of 1/12 in re 1.057 * [backup-simplify]: Simplify 1/12 into 1/12 1.057 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.057 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.057 * [taylor]: Taking taylor expansion of im in re 1.057 * [backup-simplify]: Simplify im into im 1.057 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.058 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.058 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.058 * [taylor]: Taking taylor expansion of re in re 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify (* 1 1) into 1 1.058 * [backup-simplify]: Simplify (/ 1 1) into 1 1.058 * [backup-simplify]: Simplify (+ 0 1) into 1 1.058 * [backup-simplify]: Simplify (log 1) into 0 1.059 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.059 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log re)))) into (* -1/6 (log re)) 1.059 * [backup-simplify]: Simplify (exp (* -1/6 (log re))) into (pow re -1/6) 1.059 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) 4) in re 1.059 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/12) in re 1.059 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.059 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.059 * [taylor]: Taking taylor expansion of 1/12 in re 1.059 * [backup-simplify]: Simplify 1/12 into 1/12 1.059 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.059 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.059 * [taylor]: Taking taylor expansion of im in re 1.059 * [backup-simplify]: Simplify im into im 1.059 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.059 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.059 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.059 * [taylor]: Taking taylor expansion of re in re 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (* 1 1) into 1 1.060 * [backup-simplify]: Simplify (/ 1 1) into 1 1.060 * [backup-simplify]: Simplify (+ 0 1) into 1 1.060 * [backup-simplify]: Simplify (log 1) into 0 1.060 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.060 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log re)))) into (* -1/6 (log re)) 1.061 * [backup-simplify]: Simplify (exp (* -1/6 (log re))) into (pow re -1/6) 1.061 * [backup-simplify]: Simplify (* (pow re -1/6) (pow re -1/6)) into (pow (/ 1 re) 1/3) 1.061 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) (pow (/ 1 re) 1/3)) into (pow (/ 1 (pow re 2)) 1/3) 1.061 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.061 * [taylor]: Taking taylor expansion of 1/3 in im 1.061 * [backup-simplify]: Simplify 1/3 into 1/3 1.061 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.061 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.061 * [taylor]: Taking taylor expansion of re in im 1.061 * [backup-simplify]: Simplify re into re 1.061 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.061 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.061 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.061 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.061 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.062 * [backup-simplify]: Simplify (pow (/ 1 (pow re 2)) 1/3) into (pow (/ 1 (pow re 2)) 1/3) 1.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.064 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.064 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (- (* 2 (log re))))) into 0 1.064 * [backup-simplify]: Simplify (* (exp (* -1/6 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.065 * [backup-simplify]: Simplify (+ (* (pow re -1/6) 0) (* 0 (pow re -1/6))) into 0 1.065 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 (pow (/ 1 re) 1/3))) into 0 1.065 * [taylor]: Taking taylor expansion of 0 in im 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.066 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.067 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.069 * [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)) 1.069 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.069 * [backup-simplify]: Simplify (+ (* 1/12 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/12 (/ 1 (pow im 2))) 1.070 * [backup-simplify]: Simplify (* (exp (* -1/6 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)))) into (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2)))) 1.073 * [backup-simplify]: Simplify (+ (* (pow re -1/6) (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2)))) (pow re -1/6)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 1.074 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) (pow (/ 1 re) 1/3)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.074 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.075 * [taylor]: Taking taylor expansion of 1/3 in im 1.075 * [backup-simplify]: Simplify 1/3 into 1/3 1.075 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.075 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.075 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.075 * [taylor]: Taking taylor expansion of 1/3 in im 1.075 * [backup-simplify]: Simplify 1/3 into 1/3 1.075 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.075 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.075 * [taylor]: Taking taylor expansion of re in im 1.075 * [backup-simplify]: Simplify re into re 1.075 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.075 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.075 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.075 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.075 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.075 * [taylor]: Taking taylor expansion of im in im 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (* 1 1) into 1 1.076 * [backup-simplify]: Simplify (/ 1 1) into 1 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.078 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.079 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.079 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.081 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.081 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.082 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.082 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.083 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.083 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.083 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.085 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.086 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.086 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.086 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [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 1.090 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.091 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.092 * [backup-simplify]: Simplify (* (exp (* -1/6 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.093 * [backup-simplify]: Simplify (+ (* (pow re -1/6) 0) (+ (* 0 (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2))))) (+ (* (* 1/12 (* (pow (/ 1 re) 1/6) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/6))))) into 0 1.093 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))) (+ (* (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 0) (* 0 (pow (/ 1 re) 1/3))))) into 0 1.093 * [taylor]: Taking taylor expansion of 0 in im 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 2)) 1/3) into (pow (pow re 2) 1/3) 1.094 * * * [progress]: simplifying candidates 1.095 * [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 (sqrt (+ (* re re) (* im im)))))) 4) (* (log (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 4) (* 1/3 4) (* 1 4) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 4) (cbrt 4))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 4)) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 1) (pow (cbrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 4) (pow (cbrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 4) (pow (cbrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 4) (pow (cbrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 4) (pow (cbrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 4) (pow (cbrt (sqrt (sqrt 1))) 4) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 4) (pow (cbrt (sqrt 1)) 4) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 4) (pow (cbrt 1) 4) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (pow (* (cbrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 4) (pow 1 4) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (log (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)) (exp (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)) (* (cbrt (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)) (cbrt (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4))) (cbrt (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)) (* (* (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)) (sqrt (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)) (sqrt (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4)) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 4 2)) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 4 2)) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (pow re 2) 1/3) (pow (pow re 2) 1/3) 1.095 * [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 (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (* (log (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (* 1/3 4) (* 1 4) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (cbrt 4) (cbrt 4))) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt 4)) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 1) (pow (cbrt (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (pow (cbrt (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 4) (pow (cbrt (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (pow (cbrt (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) 4) (pow (cbrt (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (pow (cbrt (sqrt (sqrt 1))) 4) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (pow (cbrt (sqrt 1)) 4) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (pow (cbrt 1) 4) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4) (pow (* (cbrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4) (pow 1 4) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4) (log (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4)) (exp (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4)) (* (cbrt (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4)) (cbrt (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4))) (cbrt (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4)) (* (* (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4)) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4)) (sqrt (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4)) (sqrt (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4)) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ 4 2)) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ 4 2)) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (+ (* 1/3 (* (pow h1 2) (pow (/ 1 (pow h0 4)) 1/3))) (pow h0 2/3)) (pow (pow h1 2) 1/3) (pow (pow h1 2) 1/3) 1.099 * * [simplify]: iteration 0 : 220 enodes (cost 629 ) 1.103 * * [simplify]: iteration 1 : 704 enodes (cost 598 ) 1.116 * * [simplify]: iteration 2 : 2426 enodes (cost 590 ) 1.175 * * [simplify]: iteration 3 : 5001 enodes (cost 590 ) 1.178 * * * [progress]: adding candidates to table 1.426 * * [progress]: iteration 4 / 4 1.426 * * * [progress]: picking best candidate 1.431 * * * * [pick]: Picked # 1.431 * * * [progress]: localizing error 1.448 * * * [progress]: generating rewritten candidates 1.448 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.456 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 1.463 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.471 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.486 * * * [progress]: generating series expansions 1.487 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.487 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.487 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.487 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.487 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.487 * [taylor]: Taking taylor expansion of re in im 1.487 * [backup-simplify]: Simplify re into re 1.487 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.487 * [taylor]: Taking taylor expansion of im in im 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.487 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.487 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.487 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.488 * [backup-simplify]: Simplify (+ 0 0) into 0 1.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.488 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.488 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.488 * [taylor]: Taking taylor expansion of re in re 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.488 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.488 * [taylor]: Taking taylor expansion of im in re 1.488 * [backup-simplify]: Simplify im into im 1.488 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.488 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.488 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.488 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.488 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.489 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.489 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.489 * [taylor]: Taking taylor expansion of re in re 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.489 * [taylor]: Taking taylor expansion of im in re 1.489 * [backup-simplify]: Simplify im into im 1.489 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.489 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.489 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.489 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.489 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.489 * [taylor]: Taking taylor expansion of im in im 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [taylor]: Taking taylor expansion of 0 in im 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (* 1 1) into 1 1.490 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.490 * [backup-simplify]: Simplify (+ 1 0) into 1 1.491 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.491 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.491 * [taylor]: Taking taylor expansion of 1/2 in im 1.491 * [backup-simplify]: Simplify 1/2 into 1/2 1.491 * [taylor]: Taking taylor expansion of im in im 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.493 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.493 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.493 * [taylor]: Taking taylor expansion of 0 in im 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.494 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.494 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.494 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.494 * [taylor]: Taking taylor expansion of im in im 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 1 into 1 1.495 * [backup-simplify]: Simplify (* 1 1) into 1 1.495 * [backup-simplify]: Simplify (/ 1 1) into 1 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.495 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.495 * [taylor]: Taking taylor expansion of re in im 1.495 * [backup-simplify]: Simplify re into re 1.495 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.495 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.495 * [backup-simplify]: Simplify (+ 1 0) into 1 1.496 * [backup-simplify]: Simplify (sqrt 1) into 1 1.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (+ 0 0) into 0 1.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.497 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.497 * [taylor]: Taking taylor expansion of im in re 1.497 * [backup-simplify]: Simplify im into im 1.497 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.497 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.497 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.497 * [taylor]: Taking taylor expansion of re in re 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.498 * [backup-simplify]: Simplify (* 1 1) into 1 1.498 * [backup-simplify]: Simplify (/ 1 1) into 1 1.498 * [backup-simplify]: Simplify (+ 0 1) into 1 1.498 * [backup-simplify]: Simplify (sqrt 1) into 1 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.500 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.500 * [taylor]: Taking taylor expansion of im in re 1.500 * [backup-simplify]: Simplify im into im 1.500 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.500 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.500 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.500 * [taylor]: Taking taylor expansion of re in re 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (* 1 1) into 1 1.500 * [backup-simplify]: Simplify (/ 1 1) into 1 1.501 * [backup-simplify]: Simplify (+ 0 1) into 1 1.501 * [backup-simplify]: Simplify (sqrt 1) into 1 1.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.502 * [taylor]: Taking taylor expansion of 1 in im 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [taylor]: Taking taylor expansion of 0 in im 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.504 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.504 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.504 * [taylor]: Taking taylor expansion of 1/2 in im 1.504 * [backup-simplify]: Simplify 1/2 into 1/2 1.504 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.504 * [taylor]: Taking taylor expansion of im in im 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (* 1 1) into 1 1.505 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.508 * [taylor]: Taking taylor expansion of 0 in im 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.509 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.509 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.509 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.509 * [taylor]: Taking taylor expansion of im in im 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [backup-simplify]: Simplify (* 1 1) into 1 1.509 * [backup-simplify]: Simplify (/ 1 1) into 1 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.510 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.510 * [taylor]: Taking taylor expansion of re in im 1.510 * [backup-simplify]: Simplify re into re 1.510 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.510 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.510 * [backup-simplify]: Simplify (+ 1 0) into 1 1.510 * [backup-simplify]: Simplify (sqrt 1) into 1 1.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (+ 0 0) into 0 1.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.512 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.512 * [taylor]: Taking taylor expansion of im in re 1.512 * [backup-simplify]: Simplify im into im 1.512 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.512 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.512 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.512 * [taylor]: Taking taylor expansion of re in re 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [backup-simplify]: Simplify (* 1 1) into 1 1.512 * [backup-simplify]: Simplify (/ 1 1) into 1 1.513 * [backup-simplify]: Simplify (+ 0 1) into 1 1.513 * [backup-simplify]: Simplify (sqrt 1) into 1 1.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.514 * [backup-simplify]: Simplify (+ 0 0) into 0 1.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.514 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.514 * [taylor]: Taking taylor expansion of im in re 1.514 * [backup-simplify]: Simplify im into im 1.514 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.514 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.514 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.514 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.514 * [taylor]: Taking taylor expansion of re in re 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (* 1 1) into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [backup-simplify]: Simplify (+ 0 1) into 1 1.515 * [backup-simplify]: Simplify (sqrt 1) into 1 1.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (+ 0 0) into 0 1.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.517 * [taylor]: Taking taylor expansion of 1 in im 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [taylor]: Taking taylor expansion of 0 in im 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.519 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.519 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.519 * [taylor]: Taking taylor expansion of 1/2 in im 1.519 * [backup-simplify]: Simplify 1/2 into 1/2 1.519 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.519 * [taylor]: Taking taylor expansion of im in im 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (* 1 1) into 1 1.519 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.522 * [taylor]: Taking taylor expansion of 0 in im 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.523 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 1.523 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.523 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.523 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.523 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.523 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.523 * [taylor]: Taking taylor expansion of re in im 1.523 * [backup-simplify]: Simplify re into re 1.523 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.523 * [taylor]: Taking taylor expansion of im in im 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.524 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.524 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.524 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.524 * [backup-simplify]: Simplify (+ 0 0) into 0 1.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.524 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.524 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.524 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.524 * [taylor]: Taking taylor expansion of re in re 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.524 * [taylor]: Taking taylor expansion of im in re 1.524 * [backup-simplify]: Simplify im into im 1.524 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.524 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.524 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.524 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.525 * [backup-simplify]: Simplify (+ 0 0) into 0 1.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.525 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.525 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.525 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.525 * [taylor]: Taking taylor expansion of re in re 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 1 into 1 1.525 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.525 * [taylor]: Taking taylor expansion of im in re 1.525 * [backup-simplify]: Simplify im into im 1.525 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.525 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.525 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.525 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.525 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.526 * [taylor]: Taking taylor expansion of im in im 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in im 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.526 * [backup-simplify]: Simplify (* 1 1) into 1 1.526 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.527 * [backup-simplify]: Simplify (+ 1 0) into 1 1.527 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.527 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.527 * [taylor]: Taking taylor expansion of 1/2 in im 1.527 * [backup-simplify]: Simplify 1/2 into 1/2 1.527 * [taylor]: Taking taylor expansion of im in im 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.528 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.529 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.529 * [taylor]: Taking taylor expansion of 0 in im 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.530 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.530 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.531 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.531 * [taylor]: Taking taylor expansion of im in im 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 1 into 1 1.531 * [backup-simplify]: Simplify (* 1 1) into 1 1.531 * [backup-simplify]: Simplify (/ 1 1) into 1 1.531 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.531 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.531 * [taylor]: Taking taylor expansion of re in im 1.531 * [backup-simplify]: Simplify re into re 1.531 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.531 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.532 * [backup-simplify]: Simplify (+ 1 0) into 1 1.532 * [backup-simplify]: Simplify (sqrt 1) into 1 1.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.533 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.533 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.533 * [taylor]: Taking taylor expansion of im in re 1.533 * [backup-simplify]: Simplify im into im 1.533 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.534 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.534 * [taylor]: Taking taylor expansion of re in re 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.534 * [backup-simplify]: Simplify (/ 1 1) into 1 1.534 * [backup-simplify]: Simplify (+ 0 1) into 1 1.534 * [backup-simplify]: Simplify (sqrt 1) into 1 1.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.536 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.536 * [taylor]: Taking taylor expansion of im in re 1.536 * [backup-simplify]: Simplify im into im 1.536 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.536 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.536 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.536 * [taylor]: Taking taylor expansion of re in re 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (* 1 1) into 1 1.537 * [backup-simplify]: Simplify (/ 1 1) into 1 1.537 * [backup-simplify]: Simplify (+ 0 1) into 1 1.537 * [backup-simplify]: Simplify (sqrt 1) into 1 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (+ 0 0) into 0 1.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.539 * [taylor]: Taking taylor expansion of 1 in im 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [taylor]: Taking taylor expansion of 0 in im 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.540 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.541 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.541 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.541 * [taylor]: Taking taylor expansion of 1/2 in im 1.541 * [backup-simplify]: Simplify 1/2 into 1/2 1.541 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.541 * [taylor]: Taking taylor expansion of im in im 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (* 1 1) into 1 1.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.544 * [taylor]: Taking taylor expansion of 0 in im 1.544 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.545 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.545 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.545 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.545 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.545 * [taylor]: Taking taylor expansion of im in im 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (* 1 1) into 1 1.546 * [backup-simplify]: Simplify (/ 1 1) into 1 1.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.546 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.546 * [taylor]: Taking taylor expansion of re in im 1.546 * [backup-simplify]: Simplify re into re 1.546 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.546 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.546 * [backup-simplify]: Simplify (+ 1 0) into 1 1.547 * [backup-simplify]: Simplify (sqrt 1) into 1 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.548 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.548 * [taylor]: Taking taylor expansion of im in re 1.548 * [backup-simplify]: Simplify im into im 1.548 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.548 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.548 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.548 * [taylor]: Taking taylor expansion of re in re 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.549 * [backup-simplify]: Simplify (* 1 1) into 1 1.549 * [backup-simplify]: Simplify (/ 1 1) into 1 1.549 * [backup-simplify]: Simplify (+ 0 1) into 1 1.549 * [backup-simplify]: Simplify (sqrt 1) into 1 1.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.551 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.551 * [taylor]: Taking taylor expansion of im in re 1.551 * [backup-simplify]: Simplify im into im 1.551 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.551 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.551 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (* 1 1) into 1 1.551 * [backup-simplify]: Simplify (/ 1 1) into 1 1.552 * [backup-simplify]: Simplify (+ 0 1) into 1 1.552 * [backup-simplify]: Simplify (sqrt 1) into 1 1.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify (+ 0 0) into 0 1.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.553 * [taylor]: Taking taylor expansion of 1 in im 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [taylor]: Taking taylor expansion of 0 in im 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.555 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.555 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.555 * [taylor]: Taking taylor expansion of 1/2 in im 1.555 * [backup-simplify]: Simplify 1/2 into 1/2 1.555 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.555 * [taylor]: Taking taylor expansion of im in im 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.556 * [backup-simplify]: Simplify (* 1 1) into 1 1.556 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.558 * [backup-simplify]: Simplify (+ 0 0) into 0 1.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.559 * [taylor]: Taking taylor expansion of 0 in im 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.560 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.560 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.560 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.560 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.560 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.560 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.560 * [taylor]: Taking taylor expansion of re in im 1.560 * [backup-simplify]: Simplify re into re 1.560 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.560 * [taylor]: Taking taylor expansion of im in im 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.560 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.560 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.560 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.561 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.561 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.561 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.561 * [taylor]: Taking taylor expansion of re in re 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.561 * [taylor]: Taking taylor expansion of im in re 1.561 * [backup-simplify]: Simplify im into im 1.561 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.561 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.561 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.561 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.562 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.562 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.562 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.562 * [taylor]: Taking taylor expansion of re in re 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.562 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.562 * [taylor]: Taking taylor expansion of im in re 1.562 * [backup-simplify]: Simplify im into im 1.562 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.562 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.562 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.562 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.562 * [taylor]: Taking taylor expansion of im in im 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [taylor]: Taking taylor expansion of 0 in im 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.563 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.563 * [backup-simplify]: Simplify (+ 1 0) into 1 1.564 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.564 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.564 * [taylor]: Taking taylor expansion of 1/2 in im 1.564 * [backup-simplify]: Simplify 1/2 into 1/2 1.564 * [taylor]: Taking taylor expansion of im in im 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.564 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.565 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.566 * [backup-simplify]: Simplify (+ 0 0) into 0 1.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.566 * [taylor]: Taking taylor expansion of 0 in im 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.566 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.567 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.567 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.567 * [taylor]: Taking taylor expansion of im in im 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (* 1 1) into 1 1.567 * [backup-simplify]: Simplify (/ 1 1) into 1 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.567 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.567 * [taylor]: Taking taylor expansion of re in im 1.567 * [backup-simplify]: Simplify re into re 1.567 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.567 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.568 * [backup-simplify]: Simplify (+ 1 0) into 1 1.568 * [backup-simplify]: Simplify (sqrt 1) into 1 1.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.569 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.569 * [taylor]: Taking taylor expansion of im in re 1.569 * [backup-simplify]: Simplify im into im 1.569 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.569 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.569 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.569 * [taylor]: Taking taylor expansion of re in re 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.570 * [backup-simplify]: Simplify (* 1 1) into 1 1.570 * [backup-simplify]: Simplify (/ 1 1) into 1 1.570 * [backup-simplify]: Simplify (+ 0 1) into 1 1.570 * [backup-simplify]: Simplify (sqrt 1) into 1 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.575 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.575 * [taylor]: Taking taylor expansion of im in re 1.575 * [backup-simplify]: Simplify im into im 1.575 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.575 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.575 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.575 * [taylor]: Taking taylor expansion of re in re 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (* 1 1) into 1 1.575 * [backup-simplify]: Simplify (/ 1 1) into 1 1.576 * [backup-simplify]: Simplify (+ 0 1) into 1 1.576 * [backup-simplify]: Simplify (sqrt 1) into 1 1.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.578 * [taylor]: Taking taylor expansion of 1 in im 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [taylor]: Taking taylor expansion of 0 in im 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.579 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.579 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.579 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.580 * [taylor]: Taking taylor expansion of 1/2 in im 1.580 * [backup-simplify]: Simplify 1/2 into 1/2 1.580 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.580 * [taylor]: Taking taylor expansion of im in im 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (* 1 1) into 1 1.580 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.583 * [taylor]: Taking taylor expansion of 0 in im 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.584 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.584 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.584 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.584 * [taylor]: Taking taylor expansion of im in im 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (* 1 1) into 1 1.585 * [backup-simplify]: Simplify (/ 1 1) into 1 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.585 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.585 * [taylor]: Taking taylor expansion of re in im 1.585 * [backup-simplify]: Simplify re into re 1.585 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.585 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.585 * [backup-simplify]: Simplify (+ 1 0) into 1 1.585 * [backup-simplify]: Simplify (sqrt 1) into 1 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.587 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.587 * [taylor]: Taking taylor expansion of im in re 1.587 * [backup-simplify]: Simplify im into im 1.587 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.587 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.587 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.587 * [taylor]: Taking taylor expansion of re in re 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (* 1 1) into 1 1.587 * [backup-simplify]: Simplify (/ 1 1) into 1 1.588 * [backup-simplify]: Simplify (+ 0 1) into 1 1.588 * [backup-simplify]: Simplify (sqrt 1) into 1 1.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.589 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.589 * [taylor]: Taking taylor expansion of im in re 1.589 * [backup-simplify]: Simplify im into im 1.589 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.589 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.589 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.589 * [taylor]: Taking taylor expansion of re in re 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (* 1 1) into 1 1.590 * [backup-simplify]: Simplify (/ 1 1) into 1 1.590 * [backup-simplify]: Simplify (+ 0 1) into 1 1.590 * [backup-simplify]: Simplify (sqrt 1) into 1 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.592 * [taylor]: Taking taylor expansion of 1 in im 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [taylor]: Taking taylor expansion of 0 in im 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.594 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.594 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.594 * [taylor]: Taking taylor expansion of 1/2 in im 1.594 * [backup-simplify]: Simplify 1/2 into 1/2 1.594 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.594 * [taylor]: Taking taylor expansion of im in im 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (* 1 1) into 1 1.594 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.597 * [taylor]: Taking taylor expansion of 0 in im 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.598 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.598 * [backup-simplify]: Simplify (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3) into (pow (pow (+ (pow re 2) (pow im 2)) 1/4) 4/3) 1.598 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/4) 4/3) in (re im) around 0 1.598 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/4) 4/3) in im 1.598 * [taylor]: Taking taylor expansion of (exp (* 4/3 (log (pow (+ (pow re 2) (pow im 2)) 1/4)))) in im 1.598 * [taylor]: Taking taylor expansion of (* 4/3 (log (pow (+ (pow re 2) (pow im 2)) 1/4))) in im 1.598 * [taylor]: Taking taylor expansion of 4/3 in im 1.598 * [backup-simplify]: Simplify 4/3 into 4/3 1.598 * [taylor]: Taking taylor expansion of (log (pow (+ (pow re 2) (pow im 2)) 1/4)) in im 1.598 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im 1.599 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im 1.599 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im 1.599 * [taylor]: Taking taylor expansion of 1/4 in im 1.599 * [backup-simplify]: Simplify 1/4 into 1/4 1.599 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.599 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.599 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.599 * [taylor]: Taking taylor expansion of re in im 1.599 * [backup-simplify]: Simplify re into re 1.599 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.599 * [taylor]: Taking taylor expansion of im in im 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.599 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.599 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.599 * [backup-simplify]: Simplify (* 1/4 (log (pow re 2))) into (* 1/4 (log (pow re 2))) 1.599 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow re 2)))) into (pow (pow re 2) 1/4) 1.599 * [backup-simplify]: Simplify (log (pow (pow re 2) 1/4)) into (log (pow (pow re 2) 1/4)) 1.599 * [backup-simplify]: Simplify (* 4/3 (log (pow (pow re 2) 1/4))) into (* 4/3 (log (pow (pow re 2) 1/4))) 1.599 * [backup-simplify]: Simplify (exp (* 4/3 (log (pow (pow re 2) 1/4)))) into (pow (pow (pow re 2) 1/4) 4/3) 1.599 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/4) 4/3) in re 1.599 * [taylor]: Taking taylor expansion of (exp (* 4/3 (log (pow (+ (pow re 2) (pow im 2)) 1/4)))) in re 1.599 * [taylor]: Taking taylor expansion of (* 4/3 (log (pow (+ (pow re 2) (pow im 2)) 1/4))) in re 1.599 * [taylor]: Taking taylor expansion of 4/3 in re 1.600 * [backup-simplify]: Simplify 4/3 into 4/3 1.600 * [taylor]: Taking taylor expansion of (log (pow (+ (pow re 2) (pow im 2)) 1/4)) in re 1.600 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 1.600 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 1.600 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 1.600 * [taylor]: Taking taylor expansion of 1/4 in re 1.600 * [backup-simplify]: Simplify 1/4 into 1/4 1.600 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.600 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.600 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.600 * [taylor]: Taking taylor expansion of re in re 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.600 * [taylor]: Taking taylor expansion of im in re 1.600 * [backup-simplify]: Simplify im into im 1.600 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.600 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.600 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.600 * [backup-simplify]: Simplify (* 1/4 (log (pow im 2))) into (* 1/4 (log (pow im 2))) 1.600 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 2)))) into (pow (pow im 2) 1/4) 1.600 * [backup-simplify]: Simplify (log (pow (pow im 2) 1/4)) into (log (pow (pow im 2) 1/4)) 1.600 * [backup-simplify]: Simplify (* 4/3 (log (pow (pow im 2) 1/4))) into (* 4/3 (log (pow (pow im 2) 1/4))) 1.600 * [backup-simplify]: Simplify (exp (* 4/3 (log (pow (pow im 2) 1/4)))) into (pow (pow (pow im 2) 1/4) 4/3) 1.600 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/4) 4/3) in re 1.600 * [taylor]: Taking taylor expansion of (exp (* 4/3 (log (pow (+ (pow re 2) (pow im 2)) 1/4)))) in re 1.601 * [taylor]: Taking taylor expansion of (* 4/3 (log (pow (+ (pow re 2) (pow im 2)) 1/4))) in re 1.601 * [taylor]: Taking taylor expansion of 4/3 in re 1.601 * [backup-simplify]: Simplify 4/3 into 4/3 1.601 * [taylor]: Taking taylor expansion of (log (pow (+ (pow re 2) (pow im 2)) 1/4)) in re 1.601 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 1.601 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 1.601 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 1.601 * [taylor]: Taking taylor expansion of 1/4 in re 1.601 * [backup-simplify]: Simplify 1/4 into 1/4 1.601 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.601 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.601 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.601 * [taylor]: Taking taylor expansion of re in re 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 1 into 1 1.601 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.601 * [taylor]: Taking taylor expansion of im in re 1.601 * [backup-simplify]: Simplify im into im 1.601 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.601 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.601 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.601 * [backup-simplify]: Simplify (* 1/4 (log (pow im 2))) into (* 1/4 (log (pow im 2))) 1.601 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 2)))) into (pow (pow im 2) 1/4) 1.601 * [backup-simplify]: Simplify (log (pow (pow im 2) 1/4)) into (log (pow (pow im 2) 1/4)) 1.601 * [backup-simplify]: Simplify (* 4/3 (log (pow (pow im 2) 1/4))) into (* 4/3 (log (pow (pow im 2) 1/4))) 1.601 * [backup-simplify]: Simplify (exp (* 4/3 (log (pow (pow im 2) 1/4)))) into (pow (pow (pow im 2) 1/4) 4/3) 1.602 * [taylor]: Taking taylor expansion of (pow (pow (pow im 2) 1/4) 4/3) in im 1.602 * [taylor]: Taking taylor expansion of (exp (* 4/3 (log (pow (pow im 2) 1/4)))) in im 1.602 * [taylor]: Taking taylor expansion of (* 4/3 (log (pow (pow im 2) 1/4))) in im 1.602 * [taylor]: Taking taylor expansion of 4/3 in im 1.602 * [backup-simplify]: Simplify 4/3 into 4/3 1.602 * [taylor]: Taking taylor expansion of (log (pow (pow im 2) 1/4)) in im 1.602 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/4) in im 1.602 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 2)))) in im 1.602 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 2))) in im 1.602 * [taylor]: Taking taylor expansion of 1/4 in im 1.602 * [backup-simplify]: Simplify 1/4 into 1/4 1.602 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.602 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.602 * [taylor]: Taking taylor expansion of im in im 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.602 * [backup-simplify]: Simplify (* 1 1) into 1 1.602 * [backup-simplify]: Simplify (log 1) into 0 1.603 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.603 * [backup-simplify]: Simplify (* 1/4 (* 2 (log im))) into (* 1/2 (log im)) 1.603 * [backup-simplify]: Simplify (exp (* 1/2 (log im))) into (pow im 1/2) 1.603 * [backup-simplify]: Simplify (log (pow im 1/2)) into (log (pow im 1/2)) 1.603 * [backup-simplify]: Simplify (* 4/3 (log (pow im 1/2))) into (* 4/3 (log (pow im 1/2))) 1.603 * [backup-simplify]: Simplify (exp (* 4/3 (log (pow im 1/2)))) into (pow (pow im 1/2) 4/3) 1.603 * [backup-simplify]: Simplify (pow (pow im 1/2) 4/3) into (pow (pow im 1/2) 4/3) 1.603 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.603 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.604 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow im 2)))) into 0 1.605 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow im 2) 1/4) 1)))) 1) into 0 1.606 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (log (pow (pow im 2) 1/4)))) into 0 1.606 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow (pow im 2) 1/4)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.606 * [taylor]: Taking taylor expansion of 0 in im 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.607 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.608 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.608 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 2 (log im)))) into 0 1.608 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 1/2) 1)))) 1) into 0 1.609 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (log (pow im 1/2)))) into 0 1.610 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow im 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify (* 1 1) into 1 1.610 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.610 * [backup-simplify]: Simplify (+ 1 0) into 1 1.611 * [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)) 1.612 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/4 (/ 1 (pow im 2))) 1.613 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 1.613 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow im 2) 1/4) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (sqrt (/ 1 (pow im 3))))) 1)) (pow (pow (pow im 2) 1/4) 1)))) 2) into (/ 1/4 (pow im 2)) 1.614 * [backup-simplify]: Simplify (+ (* 4/3 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (log (pow (pow im 2) 1/4))))) into (* 1/3 (/ 1 (pow im 2))) 1.615 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow (pow im 2) 1/4)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.615 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 1.615 * [taylor]: Taking taylor expansion of 1/3 in im 1.615 * [backup-simplify]: Simplify 1/3 into 1/3 1.615 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.615 * [taylor]: Taking taylor expansion of 1/3 in im 1.615 * [backup-simplify]: Simplify 1/3 into 1/3 1.615 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.615 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.615 * [taylor]: Taking taylor expansion of im in im 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (* 1 1) into 1 1.615 * [backup-simplify]: Simplify (* 1 1) into 1 1.615 * [backup-simplify]: Simplify (/ 1 1) into 1 1.616 * [backup-simplify]: Simplify (log 1) into 0 1.616 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.616 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 1.616 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 1.616 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.616 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.616 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.618 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.619 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 1.620 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.621 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow im 1/2) 1)))) 2) into 0 1.621 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (log (pow im 1/2))))) into 0 1.622 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow im 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.623 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [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 1.625 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 1.627 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.629 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (pow im 2) 1/4) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/4 (sqrt (/ 1 (pow im 3))))) 1)) (pow (pow (pow im 2) 1/4) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (pow im 2) 1/4) 1)))) 6) into 0 1.629 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (log (pow (pow im 2) 1/4)))))) into 0 1.631 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow (pow im 2) 1/4)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.631 * [taylor]: Taking taylor expansion of 0 in im 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.633 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.633 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 1.634 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.634 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.637 * [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 1.637 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.638 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 1.639 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.640 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow im 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 1/2) 1)))) 6) into 0 1.641 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow im 1/2)))))) into 0 1.642 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow im 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow (pow im 1/2) 4/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow (pow im 1/2) 4/3)) 1.643 * [backup-simplify]: Simplify (pow (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) 4/3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 4/3) 1.643 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 4/3) in (re im) around 0 1.643 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 4/3) in im 1.643 * [taylor]: Taking taylor expansion of (exp (* 4/3 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)))) in im 1.643 * [taylor]: Taking taylor expansion of (* 4/3 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4))) in im 1.643 * [taylor]: Taking taylor expansion of 4/3 in im 1.643 * [backup-simplify]: Simplify 4/3 into 4/3 1.643 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in im 1.643 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 1.643 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.643 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.643 * [taylor]: Taking taylor expansion of 1/4 in im 1.643 * [backup-simplify]: Simplify 1/4 into 1/4 1.643 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.643 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.643 * [taylor]: Taking taylor expansion of im in im 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (* 1 1) into 1 1.643 * [backup-simplify]: Simplify (/ 1 1) into 1 1.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.643 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.643 * [taylor]: Taking taylor expansion of re in im 1.643 * [backup-simplify]: Simplify re into re 1.643 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.644 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.644 * [backup-simplify]: Simplify (+ 1 0) into 1 1.644 * [backup-simplify]: Simplify (log 1) into 0 1.644 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.644 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log im)))) into (* -1/2 (log im)) 1.644 * [backup-simplify]: Simplify (exp (* -1/2 (log im))) into (pow im -1/2) 1.645 * [backup-simplify]: Simplify (log (pow im -1/2)) into (log (pow im -1/2)) 1.645 * [backup-simplify]: Simplify (* 4/3 (log (pow im -1/2))) into (* 4/3 (log (pow im -1/2))) 1.645 * [backup-simplify]: Simplify (exp (* 4/3 (log (pow im -1/2)))) into (pow (pow im -1/2) 4/3) 1.645 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 4/3) in re 1.645 * [taylor]: Taking taylor expansion of (exp (* 4/3 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)))) in re 1.645 * [taylor]: Taking taylor expansion of (* 4/3 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4))) in re 1.645 * [taylor]: Taking taylor expansion of 4/3 in re 1.645 * [backup-simplify]: Simplify 4/3 into 4/3 1.645 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 1.645 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.645 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.645 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.645 * [taylor]: Taking taylor expansion of 1/4 in re 1.645 * [backup-simplify]: Simplify 1/4 into 1/4 1.645 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.645 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.645 * [taylor]: Taking taylor expansion of im in re 1.645 * [backup-simplify]: Simplify im into im 1.645 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.645 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.645 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.645 * [taylor]: Taking taylor expansion of re in re 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (* 1 1) into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.646 * [backup-simplify]: Simplify (+ 0 1) into 1 1.646 * [backup-simplify]: Simplify (log 1) into 0 1.646 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.646 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 1.646 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 1.647 * [backup-simplify]: Simplify (log (pow re -1/2)) into (log (pow re -1/2)) 1.647 * [backup-simplify]: Simplify (* 4/3 (log (pow re -1/2))) into (* 4/3 (log (pow re -1/2))) 1.647 * [backup-simplify]: Simplify (exp (* 4/3 (log (pow re -1/2)))) into (pow (pow re -1/2) 4/3) 1.647 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 4/3) in re 1.647 * [taylor]: Taking taylor expansion of (exp (* 4/3 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)))) in re 1.647 * [taylor]: Taking taylor expansion of (* 4/3 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4))) in re 1.647 * [taylor]: Taking taylor expansion of 4/3 in re 1.647 * [backup-simplify]: Simplify 4/3 into 4/3 1.647 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 1.647 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.647 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.647 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.647 * [taylor]: Taking taylor expansion of 1/4 in re 1.647 * [backup-simplify]: Simplify 1/4 into 1/4 1.647 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.647 * [taylor]: Taking taylor expansion of im in re 1.647 * [backup-simplify]: Simplify im into im 1.647 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.647 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.647 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.647 * [taylor]: Taking taylor expansion of re in re 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (* 1 1) into 1 1.648 * [backup-simplify]: Simplify (/ 1 1) into 1 1.648 * [backup-simplify]: Simplify (+ 0 1) into 1 1.648 * [backup-simplify]: Simplify (log 1) into 0 1.648 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.648 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 1.648 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 1.649 * [backup-simplify]: Simplify (log (pow re -1/2)) into (log (pow re -1/2)) 1.649 * [backup-simplify]: Simplify (* 4/3 (log (pow re -1/2))) into (* 4/3 (log (pow re -1/2))) 1.649 * [backup-simplify]: Simplify (exp (* 4/3 (log (pow re -1/2)))) into (pow (pow re -1/2) 4/3) 1.649 * [taylor]: Taking taylor expansion of (pow (pow re -1/2) 4/3) in im 1.649 * [taylor]: Taking taylor expansion of (exp (* 4/3 (log (pow re -1/2)))) in im 1.649 * [taylor]: Taking taylor expansion of (* 4/3 (log (pow re -1/2))) in im 1.649 * [taylor]: Taking taylor expansion of 4/3 in im 1.649 * [backup-simplify]: Simplify 4/3 into 4/3 1.649 * [taylor]: Taking taylor expansion of (log (pow re -1/2)) in im 1.649 * [taylor]: Taking taylor expansion of (pow re -1/2) in im 1.649 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log re))) in im 1.649 * [taylor]: Taking taylor expansion of (* -1/2 (log re)) in im 1.649 * [taylor]: Taking taylor expansion of -1/2 in im 1.649 * [backup-simplify]: Simplify -1/2 into -1/2 1.649 * [taylor]: Taking taylor expansion of (log re) in im 1.649 * [taylor]: Taking taylor expansion of re in im 1.649 * [backup-simplify]: Simplify re into re 1.649 * [backup-simplify]: Simplify (log re) into (log re) 1.649 * [backup-simplify]: Simplify (* -1/2 (log re)) into (* -1/2 (log re)) 1.649 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 1.649 * [backup-simplify]: Simplify (log (pow re -1/2)) into (log (pow re -1/2)) 1.649 * [backup-simplify]: Simplify (* 4/3 (log (pow re -1/2))) into (* 4/3 (log (pow re -1/2))) 1.649 * [backup-simplify]: Simplify (exp (* 4/3 (log (pow re -1/2)))) into (pow (pow re -1/2) 4/3) 1.649 * [backup-simplify]: Simplify (pow (pow re -1/2) 4/3) into (pow (pow re -1/2) 4/3) 1.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.651 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log re))))) into 0 1.652 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re -1/2) 1)))) 1) into 0 1.653 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (log (pow re -1/2)))) into 0 1.654 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow re -1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.654 * [taylor]: Taking taylor expansion of 0 in im 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.654 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log re))) into 0 1.655 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re -1/2) 1)))) 1) into 0 1.656 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (log (pow re -1/2)))) into 0 1.656 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow re -1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.658 * [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)) 1.659 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.659 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/4 (/ 1 (pow im 2))) 1.660 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 1.661 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re -1/2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) 1)) (pow (pow re -1/2) 1)))) 2) into (/ 1/4 (pow im 2)) 1.661 * [backup-simplify]: Simplify (+ (* 4/3 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (log (pow re -1/2))))) into (* 1/3 (/ 1 (pow im 2))) 1.662 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow re -1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.662 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.662 * [taylor]: Taking taylor expansion of 1/3 in im 1.662 * [backup-simplify]: Simplify 1/3 into 1/3 1.662 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.662 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.662 * [taylor]: Taking taylor expansion of 1/3 in im 1.662 * [backup-simplify]: Simplify 1/3 into 1/3 1.662 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.662 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.662 * [taylor]: Taking taylor expansion of re in im 1.662 * [backup-simplify]: Simplify re into re 1.662 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.662 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.662 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.662 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.662 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.662 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.662 * [taylor]: Taking taylor expansion of im in im 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (* 1 1) into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.669 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.670 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.672 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.672 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.673 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.674 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.674 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.674 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.675 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.676 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.677 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.678 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re -1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow re -1/2) 1)))) 2) into 0 1.679 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (log (pow re -1/2))))) into 0 1.680 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow re -1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [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 1.683 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.684 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.685 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.687 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow re -1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) 1)) (pow (pow re -1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow re -1/2) 1)))) 6) into 0 1.688 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (log (pow re -1/2)))))) into 0 1.689 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow re -1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.689 * [taylor]: Taking taylor expansion of 0 in im 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (pow (pow (/ 1 re) -1/2) 4/3) into (pow (pow (/ 1 re) -1/2) 4/3) 1.689 * [backup-simplify]: Simplify (pow (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) 4/3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 4/3) 1.689 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 4/3) in (re im) around 0 1.689 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 4/3) in im 1.689 * [taylor]: Taking taylor expansion of (exp (* 4/3 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)))) in im 1.689 * [taylor]: Taking taylor expansion of (* 4/3 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4))) in im 1.689 * [taylor]: Taking taylor expansion of 4/3 in im 1.689 * [backup-simplify]: Simplify 4/3 into 4/3 1.689 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in im 1.689 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 1.690 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.690 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.690 * [taylor]: Taking taylor expansion of 1/4 in im 1.690 * [backup-simplify]: Simplify 1/4 into 1/4 1.690 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.690 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.690 * [taylor]: Taking taylor expansion of im in im 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (/ 1 1) into 1 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.690 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.690 * [taylor]: Taking taylor expansion of re in im 1.690 * [backup-simplify]: Simplify re into re 1.690 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.690 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.691 * [backup-simplify]: Simplify (+ 1 0) into 1 1.691 * [backup-simplify]: Simplify (log 1) into 0 1.691 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.691 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log im)))) into (* -1/2 (log im)) 1.691 * [backup-simplify]: Simplify (exp (* -1/2 (log im))) into (pow im -1/2) 1.691 * [backup-simplify]: Simplify (log (pow im -1/2)) into (log (pow im -1/2)) 1.691 * [backup-simplify]: Simplify (* 4/3 (log (pow im -1/2))) into (* 4/3 (log (pow im -1/2))) 1.691 * [backup-simplify]: Simplify (exp (* 4/3 (log (pow im -1/2)))) into (pow (pow im -1/2) 4/3) 1.691 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 4/3) in re 1.691 * [taylor]: Taking taylor expansion of (exp (* 4/3 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)))) in re 1.691 * [taylor]: Taking taylor expansion of (* 4/3 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4))) in re 1.692 * [taylor]: Taking taylor expansion of 4/3 in re 1.692 * [backup-simplify]: Simplify 4/3 into 4/3 1.692 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 1.692 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.692 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.692 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.692 * [taylor]: Taking taylor expansion of 1/4 in re 1.692 * [backup-simplify]: Simplify 1/4 into 1/4 1.692 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.692 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.692 * [taylor]: Taking taylor expansion of im in re 1.692 * [backup-simplify]: Simplify im into im 1.692 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.692 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.692 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.692 * [taylor]: Taking taylor expansion of re in re 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (* 1 1) into 1 1.692 * [backup-simplify]: Simplify (/ 1 1) into 1 1.693 * [backup-simplify]: Simplify (+ 0 1) into 1 1.693 * [backup-simplify]: Simplify (log 1) into 0 1.693 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.693 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 1.693 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 1.693 * [backup-simplify]: Simplify (log (pow re -1/2)) into (log (pow re -1/2)) 1.693 * [backup-simplify]: Simplify (* 4/3 (log (pow re -1/2))) into (* 4/3 (log (pow re -1/2))) 1.693 * [backup-simplify]: Simplify (exp (* 4/3 (log (pow re -1/2)))) into (pow (pow re -1/2) 4/3) 1.693 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 4/3) in re 1.693 * [taylor]: Taking taylor expansion of (exp (* 4/3 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)))) in re 1.694 * [taylor]: Taking taylor expansion of (* 4/3 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4))) in re 1.694 * [taylor]: Taking taylor expansion of 4/3 in re 1.694 * [backup-simplify]: Simplify 4/3 into 4/3 1.694 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 1.694 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.694 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.694 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.694 * [taylor]: Taking taylor expansion of 1/4 in re 1.694 * [backup-simplify]: Simplify 1/4 into 1/4 1.694 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.694 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.694 * [taylor]: Taking taylor expansion of im in re 1.694 * [backup-simplify]: Simplify im into im 1.694 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.694 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.694 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.694 * [taylor]: Taking taylor expansion of re in re 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (* 1 1) into 1 1.694 * [backup-simplify]: Simplify (/ 1 1) into 1 1.695 * [backup-simplify]: Simplify (+ 0 1) into 1 1.695 * [backup-simplify]: Simplify (log 1) into 0 1.695 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.695 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 1.695 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 1.695 * [backup-simplify]: Simplify (log (pow re -1/2)) into (log (pow re -1/2)) 1.695 * [backup-simplify]: Simplify (* 4/3 (log (pow re -1/2))) into (* 4/3 (log (pow re -1/2))) 1.695 * [backup-simplify]: Simplify (exp (* 4/3 (log (pow re -1/2)))) into (pow (pow re -1/2) 4/3) 1.696 * [taylor]: Taking taylor expansion of (pow (pow re -1/2) 4/3) in im 1.696 * [taylor]: Taking taylor expansion of (exp (* 4/3 (log (pow re -1/2)))) in im 1.696 * [taylor]: Taking taylor expansion of (* 4/3 (log (pow re -1/2))) in im 1.696 * [taylor]: Taking taylor expansion of 4/3 in im 1.696 * [backup-simplify]: Simplify 4/3 into 4/3 1.696 * [taylor]: Taking taylor expansion of (log (pow re -1/2)) in im 1.696 * [taylor]: Taking taylor expansion of (pow re -1/2) in im 1.696 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log re))) in im 1.696 * [taylor]: Taking taylor expansion of (* -1/2 (log re)) in im 1.696 * [taylor]: Taking taylor expansion of -1/2 in im 1.696 * [backup-simplify]: Simplify -1/2 into -1/2 1.696 * [taylor]: Taking taylor expansion of (log re) in im 1.696 * [taylor]: Taking taylor expansion of re in im 1.696 * [backup-simplify]: Simplify re into re 1.696 * [backup-simplify]: Simplify (log re) into (log re) 1.696 * [backup-simplify]: Simplify (* -1/2 (log re)) into (* -1/2 (log re)) 1.696 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 1.696 * [backup-simplify]: Simplify (log (pow re -1/2)) into (log (pow re -1/2)) 1.696 * [backup-simplify]: Simplify (* 4/3 (log (pow re -1/2))) into (* 4/3 (log (pow re -1/2))) 1.696 * [backup-simplify]: Simplify (exp (* 4/3 (log (pow re -1/2)))) into (pow (pow re -1/2) 4/3) 1.696 * [backup-simplify]: Simplify (pow (pow re -1/2) 4/3) into (pow (pow re -1/2) 4/3) 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.697 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.698 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.698 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log re))))) into 0 1.699 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re -1/2) 1)))) 1) into 0 1.700 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (log (pow re -1/2)))) into 0 1.700 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow re -1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.700 * [taylor]: Taking taylor expansion of 0 in im 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.701 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log re))) into 0 1.702 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re -1/2) 1)))) 1) into 0 1.702 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (log (pow re -1/2)))) into 0 1.703 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow re -1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.704 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.705 * [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)) 1.706 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.706 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/4 (/ 1 (pow im 2))) 1.707 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 1.707 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re -1/2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) 1)) (pow (pow re -1/2) 1)))) 2) into (/ 1/4 (pow im 2)) 1.708 * [backup-simplify]: Simplify (+ (* 4/3 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (log (pow re -1/2))))) into (* 1/3 (/ 1 (pow im 2))) 1.709 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow re -1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.709 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.709 * [taylor]: Taking taylor expansion of 1/3 in im 1.709 * [backup-simplify]: Simplify 1/3 into 1/3 1.709 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.709 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.709 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.709 * [taylor]: Taking taylor expansion of 1/3 in im 1.709 * [backup-simplify]: Simplify 1/3 into 1/3 1.709 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.709 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.709 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.709 * [taylor]: Taking taylor expansion of re in im 1.709 * [backup-simplify]: Simplify re into re 1.709 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.709 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.709 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.709 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.709 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.709 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.709 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.709 * [taylor]: Taking taylor expansion of im in im 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1 into 1 1.710 * [backup-simplify]: Simplify (* 1 1) into 1 1.710 * [backup-simplify]: Simplify (/ 1 1) into 1 1.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.713 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.713 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.714 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.715 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.716 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.717 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.717 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.717 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.718 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.720 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.720 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.721 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re -1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow re -1/2) 1)))) 2) into 0 1.722 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (log (pow re -1/2))))) into 0 1.723 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow re -1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [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 1.727 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.727 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.729 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.730 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow re -1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) 1)) (pow (pow re -1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow re -1/2) 1)))) 6) into 0 1.731 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (log (pow re -1/2)))))) into 0 1.732 * [backup-simplify]: Simplify (* (exp (* 4/3 (log (pow re -1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.732 * [taylor]: Taking taylor expansion of 0 in im 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (pow (pow (/ 1 (- re)) -1/2) 4/3) into (pow (pow (/ -1 re) -1/2) 4/3) 1.733 * * * [progress]: simplifying candidates 1.734 * [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 (sqrt (+ (* re re) (* im im))))) 4/3) (* (log (sqrt (sqrt (+ (* re re) (* im im))))) 4/3) (* 1/2 4/3) (* 1 4/3) (* (/ 1/2 2) 4/3) (* (/ 1 2) 4/3) (* (/ (/ 1 2) 2) 4/3) (pow (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt 4/3) (cbrt 4/3))) (pow (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 4/3)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 1) (pow (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 4/3) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4/3) (pow (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) 4/3) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4/3) (pow (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) 4/3) (pow (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 4/3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4/3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4/3) (pow (sqrt (sqrt 1)) 4/3) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4/3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4/3) (pow (sqrt 1) 4/3) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4/3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 4/3) (pow 1 4/3) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3) (log (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3)) (exp (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3)) (* (cbrt (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3)) (cbrt (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3))) (cbrt (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3)) (* (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3)) (/ 4/3 2) (sqrt (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3)) (sqrt (pow (sqrt (sqrt (+ (* re re) (* im im)))) 4/3)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) (/ 4/3 2)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) (/ 4/3 2)) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow (pow im 1/2) 4/3)) (pow (pow (/ 1 re) -1/2) 4/3) (pow (pow (/ -1 re) -1/2) 4/3) 1.734 * [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 (sqrt (+ (* h1 h1) (* h0 h0))))) 4/3) (* (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4/3) (* 1/2 4/3) (* 1 4/3) (* (/ 1/2 2) 4/3) (* (/ 1 2) 4/3) (* (/ (/ 1 2) 2) 4/3) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt 4/3) (cbrt 4/3))) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 4/3)) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 1) (pow (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4/3) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4/3) (pow (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 4/3) (pow (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4/3) (pow (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))) 4/3) (pow (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) 4/3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4/3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4/3) (pow (sqrt (sqrt 1)) 4/3) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4/3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4/3) (pow (sqrt 1) 4/3) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4/3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 4/3) (pow 1 4/3) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3) (log (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3)) (exp (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3)) (* (cbrt (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3)) (cbrt (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3))) (cbrt (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3)) (* (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3)) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3)) (/ 4/3 2) (sqrt (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3)) (sqrt (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 4/3)) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ 4/3 2)) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ 4/3 2)) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (+ (* 1/3 (* (pow h1 2) (pow (/ 1 (pow h0 4)) 1/3))) (pow (pow h0 1/2) 4/3)) (pow (pow (/ 1 h1) -1/2) 4/3) (pow (pow (/ -1 h1) -1/2) 4/3) 1.738 * * [simplify]: iteration 0 : 229 enodes (cost 555 ) 1.743 * * [simplify]: iteration 1 : 796 enodes (cost 521 ) 1.758 * * [simplify]: iteration 2 : 2809 enodes (cost 514 ) 1.820 * * [simplify]: iteration 3 : 5001 enodes (cost 514 ) 1.823 * * * [progress]: adding candidates to table 2.060 * [progress]: [Phase 3 of 3] Extracting. 2.060 * * [regime]: Finding splitpoints for: (# # # # #) 2.061 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 2.061 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 2.079 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 2.099 * * * * [regimes]: Trying to branch on (* re re) from (# # # # #) 2.127 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 2.146 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # #) 2.172 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 2.184 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # #) 2.212 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 2.229 * * * * [regimes]: Trying to branch on im from (# # # # #) 2.261 * * * * [regimes]: Trying to branch on re from (# # # # #) 2.299 * * * [regime]: Found split indices: #