18.557 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.017 * * [simplify]: Extracting # 0 : cost 0 0.017 * * [simplify]: Extracting # 1 : cost 0 0.017 * * [simplify]: Extracting # 2 : cost 0 0.017 * * [simplify]: Extracting # 3 : cost 0 0.017 * * [simplify]: Extracting # 4 : cost 0 0.017 * * [simplify]: Extracting # 5 : cost 0 0.018 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.020 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.036 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.045 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.045 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.045 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.045 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.045 * [taylor]: Taking taylor expansion of re in im 0.045 * [backup-simplify]: Simplify re into re 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.045 * [taylor]: Taking taylor expansion of im in im 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.045 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.046 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.046 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.046 * [backup-simplify]: Simplify (+ 0 0) into 0 0.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.046 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.046 * [taylor]: Taking taylor expansion of im in re 0.046 * [backup-simplify]: Simplify im into im 0.046 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.046 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.047 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.047 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.047 * [backup-simplify]: Simplify (+ 0 0) into 0 0.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.047 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.047 * [taylor]: Taking taylor expansion of re in re 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.047 * [taylor]: Taking taylor expansion of im in re 0.047 * [backup-simplify]: Simplify im into im 0.047 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.047 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.047 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.047 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.048 * [taylor]: Taking taylor expansion of im in im 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [taylor]: Taking taylor expansion of 0 in im 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (* 1 1) into 1 0.049 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.049 * [backup-simplify]: Simplify (+ 1 0) into 1 0.049 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.049 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.049 * [taylor]: Taking taylor expansion of 1/2 in im 0.049 * [backup-simplify]: Simplify 1/2 into 1/2 0.049 * [taylor]: Taking taylor expansion of im in im 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.051 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in im 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.052 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.052 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.052 * [taylor]: Taking taylor expansion of im in im 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (* 1 1) into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.053 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.053 * [taylor]: Taking taylor expansion of re in im 0.053 * [backup-simplify]: Simplify re into re 0.053 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.053 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.053 * [backup-simplify]: Simplify (+ 1 0) into 1 0.054 * [backup-simplify]: Simplify (sqrt 1) into 1 0.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.055 * [taylor]: Taking taylor expansion of im in re 0.055 * [backup-simplify]: Simplify im into im 0.055 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.055 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.055 * [taylor]: Taking taylor expansion of re in re 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (* 1 1) into 1 0.056 * [backup-simplify]: Simplify (/ 1 1) into 1 0.056 * [backup-simplify]: Simplify (+ 0 1) into 1 0.056 * [backup-simplify]: Simplify (sqrt 1) into 1 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.058 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.058 * [taylor]: Taking taylor expansion of im in re 0.058 * [backup-simplify]: Simplify im into im 0.058 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.058 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.058 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.058 * [taylor]: Taking taylor expansion of re in re 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [backup-simplify]: Simplify (+ 0 1) 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 0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.061 * [taylor]: Taking taylor expansion of 1 in im 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of 0 in im 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.063 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.063 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.063 * [taylor]: Taking taylor expansion of 1/2 in im 0.063 * [backup-simplify]: Simplify 1/2 into 1/2 0.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.063 * [taylor]: Taking taylor expansion of im in im 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 (/ 1/2 1) into 1/2 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.067 * [taylor]: Taking taylor expansion of 0 in im 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.068 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.068 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.068 * [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 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.069 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.069 * [taylor]: Taking taylor expansion of re in im 0.069 * [backup-simplify]: Simplify re into re 0.069 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.069 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.069 * [backup-simplify]: Simplify (+ 1 0) into 1 0.069 * [backup-simplify]: Simplify (sqrt 1) into 1 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.078 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.078 * [taylor]: Taking taylor expansion of im in re 0.079 * [backup-simplify]: Simplify im into im 0.079 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.079 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [backup-simplify]: Simplify (+ 0 1) into 1 0.080 * [backup-simplify]: Simplify (sqrt 1) into 1 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.081 * [taylor]: Taking taylor expansion of im in re 0.081 * [backup-simplify]: Simplify im into im 0.082 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.082 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.082 * [taylor]: Taking taylor expansion of re in re 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [backup-simplify]: Simplify (+ 0 1) into 1 0.083 * [backup-simplify]: Simplify (sqrt 1) into 1 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.084 * [taylor]: Taking taylor expansion of 1 in im 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.087 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.087 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.087 * [taylor]: Taking taylor expansion of 1/2 in im 0.087 * [backup-simplify]: Simplify 1/2 into 1/2 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.087 * [taylor]: Taking taylor expansion of im in im 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.091 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.091 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.092 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.092 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.092 * [taylor]: Taking taylor expansion of re in im 0.092 * [backup-simplify]: Simplify re into re 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.092 * [taylor]: Taking taylor expansion of re in re 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.092 * [taylor]: Taking taylor expansion of im in re 0.092 * [backup-simplify]: Simplify im into im 0.092 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.092 * [taylor]: Taking taylor expansion of re in re 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.092 * [taylor]: Taking taylor expansion of im in re 0.092 * [backup-simplify]: Simplify im into im 0.092 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.092 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [taylor]: Taking taylor expansion of 1 in im 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in im 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.097 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.097 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.097 * [taylor]: Taking taylor expansion of im in im 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (* 1 1) into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.098 * [taylor]: Taking taylor expansion of re in im 0.098 * [backup-simplify]: Simplify re into re 0.098 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.098 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [backup-simplify]: Simplify im into im 0.098 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.098 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.099 * [taylor]: Taking taylor expansion of im in re 0.099 * [backup-simplify]: Simplify im into im 0.099 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.099 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [backup-simplify]: Simplify (+ 0 1) into 1 0.100 * [taylor]: Taking taylor expansion of 1 in im 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.109 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.109 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [backup-simplify]: Simplify re into re 0.110 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.110 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.110 * [taylor]: Taking taylor expansion of im in re 0.110 * [backup-simplify]: Simplify im into im 0.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [backup-simplify]: Simplify im into im 0.111 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.111 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [backup-simplify]: Simplify (+ 0 1) into 1 0.112 * [taylor]: Taking taylor expansion of 1 in im 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [taylor]: Taking taylor expansion of 0 in im 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.121 * * * [progress]: simplifying candidates 0.121 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.122 * * [simplify]: Extracting # 0 : cost 0 0.122 * * [simplify]: Extracting # 1 : cost 0 0.122 * * [simplify]: Extracting # 2 : cost 0 0.122 * * [simplify]: Extracting # 3 : cost 0 0.122 * * [simplify]: Extracting # 4 : cost 0 0.122 * * [simplify]: Extracting # 5 : cost 0 0.122 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.132 * * [simplify]: Extracting # 0 : cost 0 0.132 * * [simplify]: Extracting # 1 : cost 0 0.132 * * [simplify]: Extracting # 2 : cost 0 0.132 * * [simplify]: Extracting # 3 : cost 0 0.133 * * [simplify]: Extracting # 4 : cost 0 0.133 * * [simplify]: iteration 1 : 143 enodes (cost 347 ) 0.194 * * [simplify]: Extracting # 0 : cost 0 0.195 * * [simplify]: Extracting # 1 : cost 0 0.196 * * [simplify]: Extracting # 2 : cost 0 0.197 * * [simplify]: Extracting # 3 : cost 0 0.198 * * [simplify]: Extracting # 4 : cost 0 0.198 * * [simplify]: iteration 2 : 758 enodes (cost 295 ) 0.447 * * [simplify]: Extracting # 0 : cost 0 0.452 * * [simplify]: Extracting # 1 : cost 0 0.459 * * [simplify]: Extracting # 2 : cost 0 0.467 * * [simplify]: Extracting # 3 : cost 0 0.483 * * [simplify]: Extracting # 4 : cost 0 0.492 * * [simplify]: iteration done: 5000 enodes (cost 295 ) 0.493 * [simplify]: Simplified to: (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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.493 * * * [progress]: adding candidates to table 0.592 * * [progress]: iteration 2 / 4 0.592 * * * [progress]: picking best candidate 0.599 * * * * [pick]: Picked # 0.599 * * * [progress]: localizing error 0.612 * * * [progress]: generating rewritten candidates 0.612 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.624 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.639 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.714 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.733 * * * [progress]: generating series expansions 0.733 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.733 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.733 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.733 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.733 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.733 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.733 * [taylor]: Taking taylor expansion of re in im 0.734 * [backup-simplify]: Simplify re into re 0.734 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.734 * [taylor]: Taking taylor expansion of im in im 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.734 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.734 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.734 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.735 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.735 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.735 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.735 * [taylor]: Taking taylor expansion of re in re 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.735 * [taylor]: Taking taylor expansion of im in re 0.735 * [backup-simplify]: Simplify im into im 0.735 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.735 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.735 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.735 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.736 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.736 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [backup-simplify]: Simplify im into im 0.736 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.736 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.737 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.737 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.737 * [taylor]: Taking taylor expansion of im in im 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify 0 into 0 0.738 * [taylor]: Taking taylor expansion of 0 in im 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (* 1 1) into 1 0.738 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.739 * [backup-simplify]: Simplify (+ 1 0) into 1 0.739 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.739 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.739 * [taylor]: Taking taylor expansion of 1/2 in im 0.739 * [backup-simplify]: Simplify 1/2 into 1/2 0.739 * [taylor]: Taking taylor expansion of im in im 0.739 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.742 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.742 * [taylor]: Taking taylor expansion of 0 in im 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.744 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.744 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.744 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.744 * [taylor]: Taking taylor expansion of im in im 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (* 1 1) into 1 0.744 * [backup-simplify]: Simplify (/ 1 1) into 1 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.744 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.744 * [taylor]: Taking taylor expansion of re in im 0.744 * [backup-simplify]: Simplify re into re 0.744 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.745 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.745 * [backup-simplify]: Simplify (+ 1 0) into 1 0.745 * [backup-simplify]: Simplify (sqrt 1) into 1 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.747 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.747 * [taylor]: Taking taylor expansion of im in re 0.747 * [backup-simplify]: Simplify im into im 0.747 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.747 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.747 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.747 * [taylor]: Taking taylor expansion of re in re 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (* 1 1) into 1 0.747 * [backup-simplify]: Simplify (/ 1 1) into 1 0.748 * [backup-simplify]: Simplify (+ 0 1) into 1 0.748 * [backup-simplify]: Simplify (sqrt 1) into 1 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.750 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.750 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.750 * [backup-simplify]: Simplify im into im 0.750 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.750 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.750 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (* 1 1) into 1 0.751 * [backup-simplify]: Simplify (/ 1 1) into 1 0.751 * [backup-simplify]: Simplify (+ 0 1) into 1 0.751 * [backup-simplify]: Simplify (sqrt 1) into 1 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.754 * [taylor]: Taking taylor expansion of 1 in im 0.754 * [backup-simplify]: Simplify 1 into 1 0.754 * [taylor]: Taking taylor expansion of 0 in im 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.756 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.756 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.756 * [taylor]: Taking taylor expansion of 1/2 in im 0.756 * [backup-simplify]: Simplify 1/2 into 1/2 0.756 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.756 * [taylor]: Taking taylor expansion of im in im 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (* 1 1) into 1 0.756 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.759 * [taylor]: Taking taylor expansion of 0 in im 0.759 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.761 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.761 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.761 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.761 * [taylor]: Taking taylor expansion of im in im 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (* 1 1) into 1 0.761 * [backup-simplify]: Simplify (/ 1 1) into 1 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.761 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.761 * [taylor]: Taking taylor expansion of re in im 0.761 * [backup-simplify]: Simplify re into re 0.761 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.761 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.762 * [backup-simplify]: Simplify (+ 1 0) into 1 0.762 * [backup-simplify]: Simplify (sqrt 1) into 1 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.764 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.764 * [taylor]: Taking taylor expansion of im in re 0.764 * [backup-simplify]: Simplify im into im 0.764 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.765 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.765 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.765 * [taylor]: Taking taylor expansion of re in re 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (* 1 1) into 1 0.765 * [backup-simplify]: Simplify (/ 1 1) into 1 0.765 * [backup-simplify]: Simplify (+ 0 1) into 1 0.766 * [backup-simplify]: Simplify (sqrt 1) into 1 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.767 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.767 * [taylor]: Taking taylor expansion of im in re 0.767 * [backup-simplify]: Simplify im into im 0.767 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.767 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.767 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (* 1 1) into 1 0.768 * [backup-simplify]: Simplify (/ 1 1) into 1 0.768 * [backup-simplify]: Simplify (+ 0 1) into 1 0.768 * [backup-simplify]: Simplify (sqrt 1) into 1 0.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.770 * [taylor]: Taking taylor expansion of 1 in im 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of 0 in im 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.772 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.772 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.772 * [taylor]: Taking taylor expansion of 1/2 in im 0.772 * [backup-simplify]: Simplify 1/2 into 1/2 0.772 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.772 * [taylor]: Taking taylor expansion of im in im 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (* 1 1) into 1 0.772 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ 0 0) into 0 0.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.775 * [taylor]: Taking taylor expansion of 0 in im 0.775 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.776 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.777 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.777 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.777 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.777 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.777 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.777 * [taylor]: Taking taylor expansion of re in im 0.777 * [backup-simplify]: Simplify re into re 0.777 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.777 * [taylor]: Taking taylor expansion of im in im 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.777 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.777 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.777 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.777 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.777 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.777 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.777 * [taylor]: Taking taylor expansion of re in re 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.778 * [taylor]: Taking taylor expansion of im in re 0.778 * [backup-simplify]: Simplify im into im 0.778 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.778 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.778 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.778 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.778 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.778 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.778 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.778 * [taylor]: Taking taylor expansion of re in re 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.778 * [taylor]: Taking taylor expansion of im in re 0.778 * [backup-simplify]: Simplify im into im 0.778 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.779 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.779 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.779 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.779 * [taylor]: Taking taylor expansion of im in im 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [taylor]: Taking taylor expansion of 0 in im 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (* 1 1) into 1 0.780 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.781 * [backup-simplify]: Simplify (+ 1 0) into 1 0.781 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.781 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.781 * [taylor]: Taking taylor expansion of 1/2 in im 0.781 * [backup-simplify]: Simplify 1/2 into 1/2 0.781 * [taylor]: Taking taylor expansion of im in im 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.784 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.784 * [taylor]: Taking taylor expansion of 0 in im 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.785 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.785 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.785 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.785 * [taylor]: Taking taylor expansion of im in im 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (* 1 1) into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.786 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.786 * [taylor]: Taking taylor expansion of re in im 0.786 * [backup-simplify]: Simplify re into re 0.786 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.786 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.787 * [backup-simplify]: Simplify (+ 1 0) into 1 0.787 * [backup-simplify]: Simplify (sqrt 1) into 1 0.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.789 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.789 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.789 * [taylor]: Taking taylor expansion of im in re 0.789 * [backup-simplify]: Simplify im into im 0.790 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.790 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.790 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (* 1 1) into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [backup-simplify]: Simplify (+ 0 1) into 1 0.791 * [backup-simplify]: Simplify (sqrt 1) into 1 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.793 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.793 * [taylor]: Taking taylor expansion of im in re 0.793 * [backup-simplify]: Simplify im into im 0.793 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.793 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.793 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (* 1 1) into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [backup-simplify]: Simplify (+ 0 1) into 1 0.795 * [backup-simplify]: Simplify (sqrt 1) into 1 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.797 * [taylor]: Taking taylor expansion of 1 in im 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [taylor]: Taking taylor expansion of 0 in im 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.799 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.799 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.799 * [taylor]: Taking taylor expansion of 1/2 in im 0.800 * [backup-simplify]: Simplify 1/2 into 1/2 0.800 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.800 * [taylor]: Taking taylor expansion of im in im 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (* 1 1) into 1 0.800 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ 0 0) into 0 0.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.804 * [taylor]: Taking taylor expansion of 0 in im 0.804 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.806 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.806 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.806 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.806 * [taylor]: Taking taylor expansion of im in im 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (* 1 1) into 1 0.807 * [backup-simplify]: Simplify (/ 1 1) into 1 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.807 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.807 * [taylor]: Taking taylor expansion of re in im 0.807 * [backup-simplify]: Simplify re into re 0.807 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.807 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.808 * [backup-simplify]: Simplify (+ 1 0) into 1 0.808 * [backup-simplify]: Simplify (sqrt 1) into 1 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.810 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.810 * [taylor]: Taking taylor expansion of im in re 0.810 * [backup-simplify]: Simplify im into im 0.810 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.810 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.810 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (* 1 1) into 1 0.811 * [backup-simplify]: Simplify (/ 1 1) into 1 0.811 * [backup-simplify]: Simplify (+ 0 1) into 1 0.812 * [backup-simplify]: Simplify (sqrt 1) into 1 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ 0 0) into 0 0.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.814 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.814 * [taylor]: Taking taylor expansion of im in re 0.814 * [backup-simplify]: Simplify im into im 0.814 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.814 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.814 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.814 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (* 1 1) into 1 0.815 * [backup-simplify]: Simplify (/ 1 1) into 1 0.815 * [backup-simplify]: Simplify (+ 0 1) into 1 0.816 * [backup-simplify]: Simplify (sqrt 1) into 1 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.818 * [taylor]: Taking taylor expansion of 1 in im 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [taylor]: Taking taylor expansion of 0 in im 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.820 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.820 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.820 * [taylor]: Taking taylor expansion of 1/2 in im 0.820 * [backup-simplify]: Simplify 1/2 into 1/2 0.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (* 1 1) into 1 0.821 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.830 * [taylor]: Taking taylor expansion of 0 in im 0.830 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.832 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.832 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 0.832 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.833 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.833 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.833 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.833 * [taylor]: Taking taylor expansion of re in im 0.833 * [backup-simplify]: Simplify re into re 0.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.833 * [taylor]: Taking taylor expansion of im in im 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.833 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.833 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.833 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.834 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.834 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.834 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.834 * [taylor]: Taking taylor expansion of re in re 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.834 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.834 * [taylor]: Taking taylor expansion of im in re 0.834 * [backup-simplify]: Simplify im into im 0.834 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.834 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.834 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.834 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.835 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.835 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.835 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.835 * [taylor]: Taking taylor expansion of re in re 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.835 * [taylor]: Taking taylor expansion of im in re 0.835 * [backup-simplify]: Simplify im into im 0.835 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.835 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.835 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.835 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.836 * [taylor]: Taking taylor expansion of im in im 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [taylor]: Taking taylor expansion of 0 in im 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify (* 1 1) into 1 0.837 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.837 * [backup-simplify]: Simplify (+ 1 0) into 1 0.838 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.838 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.838 * [taylor]: Taking taylor expansion of 1/2 in im 0.838 * [backup-simplify]: Simplify 1/2 into 1/2 0.838 * [taylor]: Taking taylor expansion of im in im 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.839 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.840 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.841 * [taylor]: Taking taylor expansion of 0 in im 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.842 * [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)))) 0.843 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.843 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.843 * [taylor]: Taking taylor expansion of im in im 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (/ 1 1) into 1 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.843 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.843 * [taylor]: Taking taylor expansion of re in im 0.843 * [backup-simplify]: Simplify re into re 0.843 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.844 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.844 * [backup-simplify]: Simplify (+ 1 0) into 1 0.844 * [backup-simplify]: Simplify (sqrt 1) into 1 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ 0 0) into 0 0.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.846 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.846 * [taylor]: Taking taylor expansion of im in re 0.846 * [backup-simplify]: Simplify im into im 0.846 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.847 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.847 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.847 * [taylor]: Taking taylor expansion of re in re 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (* 1 1) into 1 0.847 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [backup-simplify]: Simplify (+ 0 1) into 1 0.848 * [backup-simplify]: Simplify (sqrt 1) into 1 0.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.850 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.850 * [taylor]: Taking taylor expansion of im in re 0.850 * [backup-simplify]: Simplify im into im 0.850 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.850 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.850 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.850 * [taylor]: Taking taylor expansion of re in re 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (* 1 1) into 1 0.851 * [backup-simplify]: Simplify (/ 1 1) into 1 0.851 * [backup-simplify]: Simplify (+ 0 1) into 1 0.852 * [backup-simplify]: Simplify (sqrt 1) into 1 0.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.853 * [backup-simplify]: Simplify (+ 0 0) into 0 0.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.854 * [taylor]: Taking taylor expansion of 1 in im 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [taylor]: Taking taylor expansion of 0 in im 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.856 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.856 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.856 * [taylor]: Taking taylor expansion of 1/2 in im 0.856 * [backup-simplify]: Simplify 1/2 into 1/2 0.856 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.856 * [taylor]: Taking taylor expansion of im in im 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (* 1 1) into 1 0.857 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ 0 0) into 0 0.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.861 * [taylor]: Taking taylor expansion of 0 in im 0.861 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.863 * [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)))) 0.863 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.864 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.864 * [taylor]: Taking taylor expansion of im in im 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (* 1 1) into 1 0.864 * [backup-simplify]: Simplify (/ 1 1) into 1 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.864 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.864 * [taylor]: Taking taylor expansion of re in im 0.864 * [backup-simplify]: Simplify re into re 0.864 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.865 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.865 * [backup-simplify]: Simplify (+ 1 0) into 1 0.865 * [backup-simplify]: Simplify (sqrt 1) into 1 0.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (+ 0 0) into 0 0.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.867 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.867 * [taylor]: Taking taylor expansion of im in re 0.867 * [backup-simplify]: Simplify im into im 0.867 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.867 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.868 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.868 * [taylor]: Taking taylor expansion of re in re 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (* 1 1) into 1 0.868 * [backup-simplify]: Simplify (/ 1 1) into 1 0.869 * [backup-simplify]: Simplify (+ 0 1) into 1 0.869 * [backup-simplify]: Simplify (sqrt 1) into 1 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.871 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.871 * [taylor]: Taking taylor expansion of im in re 0.871 * [backup-simplify]: Simplify im into im 0.871 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.871 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.871 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.871 * [taylor]: Taking taylor expansion of re in re 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (* 1 1) into 1 0.872 * [backup-simplify]: Simplify (/ 1 1) into 1 0.872 * [backup-simplify]: Simplify (+ 0 1) into 1 0.872 * [backup-simplify]: Simplify (sqrt 1) into 1 0.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (+ 0 0) into 0 0.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.874 * [taylor]: Taking taylor expansion of 1 in im 0.874 * [backup-simplify]: Simplify 1 into 1 0.875 * [taylor]: Taking taylor expansion of 0 in im 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.877 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.877 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.877 * [taylor]: Taking taylor expansion of 1/2 in im 0.877 * [backup-simplify]: Simplify 1/2 into 1/2 0.877 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.877 * [taylor]: Taking taylor expansion of im in im 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (* 1 1) into 1 0.878 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.882 * [taylor]: Taking taylor expansion of 0 in im 0.882 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.884 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.884 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.884 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.884 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.884 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.884 * [taylor]: Taking taylor expansion of re in im 0.885 * [backup-simplify]: Simplify re into re 0.885 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.885 * [taylor]: Taking taylor expansion of im in im 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.885 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.885 * [taylor]: Taking taylor expansion of im in re 0.885 * [backup-simplify]: Simplify im into im 0.885 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.885 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.885 * [taylor]: Taking taylor expansion of im in re 0.885 * [backup-simplify]: Simplify im into im 0.885 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.885 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.885 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.885 * [taylor]: Taking taylor expansion of im in im 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [taylor]: Taking taylor expansion of 0 in im 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (* 1 1) into 1 0.886 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.887 * [backup-simplify]: Simplify (+ 1 0) into 1 0.887 * [taylor]: Taking taylor expansion of 1 in im 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (* 1 1) into 1 0.887 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [taylor]: Taking taylor expansion of 0 in im 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.891 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.891 * [backup-simplify]: Simplify (+ 0 0) into 0 0.891 * [taylor]: Taking taylor expansion of 0 in im 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.892 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.892 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 0.893 * [backup-simplify]: Simplify (* 1 1) into 1 0.893 * [backup-simplify]: Simplify (/ 1 1) into 1 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.893 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.893 * [taylor]: Taking taylor expansion of re in im 0.893 * [backup-simplify]: Simplify re into re 0.893 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.893 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.893 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.893 * [taylor]: Taking taylor expansion of im in re 0.893 * [backup-simplify]: Simplify im into im 0.893 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.894 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.894 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.894 * [taylor]: Taking taylor expansion of re in re 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (* 1 1) into 1 0.894 * [backup-simplify]: Simplify (/ 1 1) into 1 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.894 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.894 * [taylor]: Taking taylor expansion of im in re 0.894 * [backup-simplify]: Simplify im into im 0.894 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.895 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.895 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.895 * [taylor]: Taking taylor expansion of re in re 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.895 * [backup-simplify]: Simplify (* 1 1) into 1 0.895 * [backup-simplify]: Simplify (/ 1 1) into 1 0.895 * [backup-simplify]: Simplify (+ 0 1) into 1 0.895 * [taylor]: Taking taylor expansion of 1 in im 0.895 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [taylor]: Taking taylor expansion of 0 in im 0.896 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.898 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.898 * [taylor]: Taking taylor expansion of im in im 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (* 1 1) into 1 0.898 * [backup-simplify]: Simplify (/ 1 1) into 1 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [taylor]: Taking taylor expansion of 0 in im 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ 0 0) into 0 0.902 * [taylor]: Taking taylor expansion of 0 in im 0.902 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.904 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.904 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.904 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.904 * [taylor]: Taking taylor expansion of im in im 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (/ 1 1) into 1 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.905 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.905 * [taylor]: Taking taylor expansion of re in im 0.905 * [backup-simplify]: Simplify re into re 0.905 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.905 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.905 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.905 * [taylor]: Taking taylor expansion of im in re 0.905 * [backup-simplify]: Simplify im into im 0.905 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.905 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.905 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.905 * [taylor]: Taking taylor expansion of re in re 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.906 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.906 * [taylor]: Taking taylor expansion of im in re 0.906 * [backup-simplify]: Simplify im into im 0.906 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.906 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.906 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.906 * [taylor]: Taking taylor expansion of re in re 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (* 1 1) into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.907 * [backup-simplify]: Simplify (+ 0 1) into 1 0.907 * [taylor]: Taking taylor expansion of 1 in im 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [taylor]: Taking taylor expansion of 0 in im 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 1) into 1 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.910 * [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 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [taylor]: Taking taylor expansion of 0 in im 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [taylor]: Taking taylor expansion of 0 in im 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.915 * * * [progress]: simplifying candidates 0.917 * [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)))) 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(+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.920 * * [simplify]: Extracting # 0 : cost 0 0.920 * * [simplify]: Extracting # 1 : cost 0 0.920 * * [simplify]: Extracting # 2 : cost 0 0.921 * * [simplify]: Extracting # 3 : cost 0 0.921 * * [simplify]: Extracting # 4 : cost 0 0.921 * * [simplify]: Extracting # 5 : cost 0 0.921 * * [simplify]: Extracting # 6 : cost 0 0.921 * * [simplify]: iteration 0 : 121 enodes (cost 2803 ) 0.961 * * [simplify]: Extracting # 0 : cost 0 0.961 * * [simplify]: Extracting # 1 : cost 0 0.961 * * [simplify]: Extracting # 2 : cost 0 0.961 * * [simplify]: Extracting # 3 : cost 0 0.962 * * [simplify]: Extracting # 4 : cost 0 0.962 * * [simplify]: iteration 1 : 293 enodes (cost 1770 ) 1.072 * * [simplify]: Extracting # 0 : cost 0 1.073 * * [simplify]: Extracting # 1 : cost 0 1.075 * * [simplify]: Extracting # 2 : cost 0 1.077 * * [simplify]: Extracting # 3 : cost 0 1.079 * * [simplify]: Extracting # 4 : cost 0 1.080 * * [simplify]: Extracting # 5 : cost 0 1.082 * * [simplify]: iteration 2 : 1403 enodes (cost 1533 ) 1.816 * * [simplify]: Extracting # 0 : cost 0 1.830 * * [simplify]: Extracting # 1 : cost 0 1.838 * * [simplify]: Extracting # 2 : cost 0 1.845 * * [simplify]: Extracting # 3 : cost 0 1.856 * * [simplify]: Extracting # 4 : cost 0 1.862 * * [simplify]: iteration done: 5001 enodes (cost 1506 ) 1.864 * [simplify]: Simplified to: (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)))) (pow (sqrt (+ (* im im) (* re re))) 3) (fabs (cbrt (+ (* re 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(pow (sqrt (sqrt (sqrt (+ (pow im 2) (pow re 2))))) 3) (sqrt (+ (* im im) (* re re))) (* (sqrt (sqrt (+ (pow im 2) (pow re 2)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 2) (pow re 2))))) (* (sqrt (sqrt (+ (pow im 2) (pow re 2)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 2) (pow re 2))))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* im im) (* re re)) 3) (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) im re (- re) im re (- re) (+ (* im im) (* re re)) (+ (* im im) (* re re)) (+ (* im im) (* re re)) 1.865 * * * [progress]: adding candidates to table 2.223 * * [progress]: iteration 3 / 4 2.224 * * * [progress]: picking best candidate 2.227 * * * * [pick]: Picked # 2.227 * * * [progress]: localizing error 2.228 * * * [progress]: generating rewritten candidates 2.228 * * * [progress]: generating series expansions 2.228 * * * [progress]: simplifying candidates 2.228 * [simplify]: Simplifying: 2.228 * * [simplify]: Extracting # 0 : cost 0 2.228 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 2.229 * * [simplify]: Extracting # 0 : cost 0 2.229 * * [simplify]: iteration done: 0 enodes (cost 0 ) 2.229 * [simplify]: Simplified to: 2.229 * * * [progress]: adding candidates to table 2.229 * * [progress]: iteration 4 / 4 2.229 * * * [progress]: picking best candidate 2.231 * * * * [pick]: Picked # 2.231 * * * [progress]: localizing error 2.234 * * * [progress]: generating rewritten candidates 2.234 * * * [progress]: generating series expansions 2.234 * * * [progress]: simplifying candidates 2.234 * [simplify]: Simplifying: 2.234 * * [simplify]: Extracting # 0 : cost 0 2.234 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 2.235 * * [simplify]: Extracting # 0 : cost 0 2.235 * * [simplify]: iteration done: 0 enodes (cost 0 ) 2.235 * [simplify]: Simplified to: 2.235 * * * [progress]: adding candidates to table 2.235 * [progress]: [Phase 3 of 3] Extracting. 2.235 * * [regime]: Finding splitpoints for: (# # # # #) 2.235 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 2.235 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 2.264 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 2.288 * * * * [regimes]: Trying to branch on (* re re) from (# # # # #) 2.316 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 2.333 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # #) 2.361 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 2.376 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # #) 2.404 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 2.423 * * * * [regimes]: Trying to branch on im from (# # # # #) 2.465 * * * * [regimes]: Trying to branch on re from (# # # # #) 2.501 * * * [regime]: Found split indices: #