4.099 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.021 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.021 * * [simplify]: iteration 1: (6 enodes) 0.023 * * [simplify]: iteration 2: (9 enodes) 0.024 * * [simplify]: iteration 3: (10 enodes) 0.027 * * [simplify]: Extracting #0: cost 1 inf + 0 0.027 * * [simplify]: Extracting #1: cost 4 inf + 0 0.027 * * [simplify]: Extracting #2: cost 4 inf + 2 0.027 * * [simplify]: Extracting #3: cost 0 inf + 238 0.027 * [simplify]: Simplified to: (hypot re im) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.057 * * * [progress]: generating series expansions 0.057 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.057 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.057 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.057 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.057 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.057 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.057 * [taylor]: Taking taylor expansion of (* re re) in im 0.057 * [taylor]: Taking taylor expansion of re in im 0.057 * [backup-simplify]: Simplify re into re 0.057 * [taylor]: Taking taylor expansion of re in im 0.057 * [backup-simplify]: Simplify re into re 0.057 * [taylor]: Taking taylor expansion of (* im im) in im 0.057 * [taylor]: Taking taylor expansion of im in im 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [taylor]: Taking taylor expansion of im in im 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.058 * [backup-simplify]: Simplify (* 0 0) into 0 0.058 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.059 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.059 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.059 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.060 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.060 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.060 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.060 * [taylor]: Taking taylor expansion of (* re re) in re 0.060 * [taylor]: Taking taylor expansion of re in re 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [taylor]: Taking taylor expansion of re in re 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [taylor]: Taking taylor expansion of (* im im) in re 0.060 * [taylor]: Taking taylor expansion of im in re 0.060 * [backup-simplify]: Simplify im into im 0.060 * [taylor]: Taking taylor expansion of im in re 0.060 * [backup-simplify]: Simplify im into im 0.061 * [backup-simplify]: Simplify (* 0 0) into 0 0.061 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.061 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.061 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.061 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.062 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.062 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.063 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.063 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.063 * [taylor]: Taking taylor expansion of (* re re) in re 0.063 * [taylor]: Taking taylor expansion of re in re 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of re in re 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of (* im im) in re 0.063 * [taylor]: Taking taylor expansion of im in re 0.063 * [backup-simplify]: Simplify im into im 0.063 * [taylor]: Taking taylor expansion of im in re 0.063 * [backup-simplify]: Simplify im into im 0.063 * [backup-simplify]: Simplify (* 0 0) into 0 0.063 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.063 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.063 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.064 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.064 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.065 * [taylor]: Taking taylor expansion of im in im 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [taylor]: Taking taylor expansion of 0 in im 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.067 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.067 * [backup-simplify]: Simplify (+ 1 0) into 1 0.068 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.068 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.068 * [taylor]: Taking taylor expansion of 1/2 in im 0.068 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in im 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.073 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.073 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.073 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.073 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.073 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.073 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.073 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.073 * [backup-simplify]: Simplify re into re 0.073 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.073 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.073 * [backup-simplify]: Simplify re into re 0.073 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.073 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.073 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.074 * [taylor]: Taking taylor expansion of im in im 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (+ 0 1) into 1 0.075 * [backup-simplify]: Simplify (sqrt 1) into 1 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.077 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.077 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.077 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.077 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.077 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.077 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.077 * [backup-simplify]: Simplify im into im 0.077 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.077 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.077 * [backup-simplify]: Simplify im into im 0.078 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.078 * [backup-simplify]: Simplify (* 1 1) into 1 0.078 * [backup-simplify]: Simplify (+ 1 0) into 1 0.078 * [backup-simplify]: Simplify (sqrt 1) into 1 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.080 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.080 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.080 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.081 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.081 * [taylor]: Taking taylor expansion of re in re 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.081 * [taylor]: Taking taylor expansion of re in re 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [backup-simplify]: Simplify im into im 0.087 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.087 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [backup-simplify]: Simplify im into im 0.088 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.089 * [backup-simplify]: Simplify (sqrt 1) into 1 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.091 * [taylor]: Taking taylor expansion of 1 in im 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.093 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.093 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.094 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.094 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.094 * [taylor]: Taking taylor expansion of 1/2 in im 0.094 * [backup-simplify]: Simplify 1/2 into 1/2 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.094 * [taylor]: Taking taylor expansion of im in im 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) 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 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in im 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.100 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.100 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.100 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.100 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.100 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.100 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.100 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.100 * [taylor]: Taking taylor expansion of -1 in im 0.100 * [backup-simplify]: Simplify -1 into -1 0.100 * [taylor]: Taking taylor expansion of re in im 0.100 * [backup-simplify]: Simplify re into re 0.100 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.100 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.100 * [taylor]: Taking taylor expansion of -1 in im 0.100 * [backup-simplify]: Simplify -1 into -1 0.100 * [taylor]: Taking taylor expansion of re in im 0.100 * [backup-simplify]: Simplify re into re 0.100 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.100 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.100 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.100 * [taylor]: Taking taylor expansion of -1 in im 0.100 * [backup-simplify]: Simplify -1 into -1 0.100 * [taylor]: Taking taylor expansion of im in im 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ -1 1) into -1 0.101 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.101 * [taylor]: Taking taylor expansion of -1 in im 0.101 * [backup-simplify]: Simplify -1 into -1 0.101 * [taylor]: Taking taylor expansion of im in im 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ -1 1) into -1 0.102 * [backup-simplify]: Simplify (* -1 -1) into 1 0.103 * [backup-simplify]: Simplify (+ 0 1) into 1 0.103 * [backup-simplify]: Simplify (sqrt 1) into 1 0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.107 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.107 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.107 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.107 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.107 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.107 * [taylor]: Taking taylor expansion of -1 in re 0.107 * [backup-simplify]: Simplify -1 into -1 0.107 * [taylor]: Taking taylor expansion of re in re 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ -1 1) into -1 0.108 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.108 * [taylor]: Taking taylor expansion of -1 in re 0.108 * [backup-simplify]: Simplify -1 into -1 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ -1 1) into -1 0.108 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.108 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.108 * [taylor]: Taking taylor expansion of -1 in re 0.108 * [backup-simplify]: Simplify -1 into -1 0.108 * [taylor]: Taking taylor expansion of im in re 0.108 * [backup-simplify]: Simplify im into im 0.108 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.108 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.108 * [taylor]: Taking taylor expansion of -1 in re 0.108 * [backup-simplify]: Simplify -1 into -1 0.109 * [taylor]: Taking taylor expansion of im in re 0.109 * [backup-simplify]: Simplify im into im 0.109 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.109 * [backup-simplify]: Simplify (* -1 -1) into 1 0.109 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [backup-simplify]: Simplify (sqrt 1) into 1 0.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.114 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.114 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.114 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.114 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.114 * [taylor]: Taking taylor expansion of -1 in re 0.114 * [backup-simplify]: Simplify -1 into -1 0.114 * [taylor]: Taking taylor expansion of re in re 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 0.114 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.114 * [taylor]: Taking taylor expansion of -1 in re 0.114 * [backup-simplify]: Simplify -1 into -1 0.114 * [taylor]: Taking taylor expansion of re in re 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (/ -1 1) into -1 0.115 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.115 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.115 * [taylor]: Taking taylor expansion of -1 in re 0.115 * [backup-simplify]: Simplify -1 into -1 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [backup-simplify]: Simplify im into im 0.115 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.115 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.115 * [taylor]: Taking taylor expansion of -1 in re 0.115 * [backup-simplify]: Simplify -1 into -1 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [backup-simplify]: Simplify im into im 0.115 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.116 * [backup-simplify]: Simplify (* -1 -1) into 1 0.116 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [backup-simplify]: Simplify (sqrt 1) into 1 0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.121 * [taylor]: Taking taylor expansion of 1 in im 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.124 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.125 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.126 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.126 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of 1/2 in im 0.126 * [backup-simplify]: Simplify 1/2 into 1/2 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.136 * * * [progress]: simplifying candidates 0.136 * * * * [progress]: [ 1 / 14 ] simplifiying candidate # 0.136 * * * * [progress]: [ 2 / 14 ] simplifiying candidate # 0.136 * * * * [progress]: [ 3 / 14 ] simplifiying candidate # 0.136 * * * * [progress]: [ 4 / 14 ] simplifiying candidate # 0.136 * * * * [progress]: [ 5 / 14 ] simplifiying candidate # 0.136 * * * * [progress]: [ 6 / 14 ] simplifiying candidate # 0.137 * * * * [progress]: [ 7 / 14 ] simplifiying candidate # 0.137 * * * * [progress]: [ 8 / 14 ] simplifiying candidate # 0.137 * * * * [progress]: [ 9 / 14 ] simplifiying candidate # 0.137 * * * * [progress]: [ 10 / 14 ] simplifiying candidate # 0.137 * * * * [progress]: [ 11 / 14 ] simplifiying candidate #real (real->posit16 (hypot re im))))> 0.137 * * * * [progress]: [ 12 / 14 ] simplifiying candidate # 0.137 * * * * [progress]: [ 13 / 14 ] simplifiying candidate # 0.137 * * * * [progress]: [ 14 / 14 ] simplifiying candidate # 0.137 * [simplify]: Simplifying: (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) im re (* -1 re) 0.138 * * [simplify]: iteration 1: (18 enodes) 0.144 * * [simplify]: iteration 2: (23 enodes) 0.151 * * [simplify]: iteration 3: (26 enodes) 0.159 * * [simplify]: iteration 4: (31 enodes) 0.170 * * [simplify]: iteration 5: (39 enodes) 0.183 * * [simplify]: iteration 6: (59 enodes) 0.204 * * [simplify]: iteration 7: (98 enodes) 0.245 * * [simplify]: iteration 8: (205 enodes) 0.313 * * [simplify]: iteration 9: (494 enodes) 0.761 * * [simplify]: iteration 10: (1466 enodes) 6.052 * * [simplify]: Extracting #0: cost 13 inf + 0 6.053 * * [simplify]: Extracting #1: cost 182 inf + 2 6.066 * * [simplify]: Extracting #2: cost 1045 inf + 1513 6.077 * * [simplify]: Extracting #3: cost 1053 inf + 1793 6.108 * * [simplify]: Extracting #4: cost 847 inf + 162515 6.198 * * [simplify]: Extracting #5: cost 255 inf + 709704 6.377 * * [simplify]: Extracting #6: cost 24 inf + 918653 6.556 * * [simplify]: Extracting #7: cost 0 inf + 943078 6.712 * * [simplify]: Extracting #8: cost 0 inf + 942998 6.869 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) im re (- re) 6.869 * * * [progress]: adding candidates to table 6.934 * * [progress]: iteration 2 / 4 6.934 * * * [progress]: picking best candidate 6.938 * * * * [pick]: Picked # 6.938 * * * [progress]: localizing error 6.955 * * * [progress]: generating rewritten candidates 6.955 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.974 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 6.975 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 6.975 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 6.979 * * * [progress]: generating series expansions 6.979 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.979 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 6.979 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 6.979 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.980 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.980 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.980 * [taylor]: Taking taylor expansion of (* re re) in im 6.980 * [taylor]: Taking taylor expansion of re in im 6.980 * [backup-simplify]: Simplify re into re 6.980 * [taylor]: Taking taylor expansion of re in im 6.980 * [backup-simplify]: Simplify re into re 6.980 * [taylor]: Taking taylor expansion of (* im im) in im 6.980 * [taylor]: Taking taylor expansion of im in im 6.980 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify 1 into 1 6.980 * [taylor]: Taking taylor expansion of im in im 6.980 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify 1 into 1 6.980 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.981 * [backup-simplify]: Simplify (* 0 0) into 0 6.981 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.981 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.981 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.982 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.982 * [backup-simplify]: Simplify (+ 0 0) into 0 6.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.982 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.982 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.982 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.982 * [taylor]: Taking taylor expansion of (* re re) in re 6.982 * [taylor]: Taking taylor expansion of re in re 6.982 * [backup-simplify]: Simplify 0 into 0 6.982 * [backup-simplify]: Simplify 1 into 1 6.982 * [taylor]: Taking taylor expansion of re in re 6.982 * [backup-simplify]: Simplify 0 into 0 6.982 * [backup-simplify]: Simplify 1 into 1 6.982 * [taylor]: Taking taylor expansion of (* im im) in re 6.982 * [taylor]: Taking taylor expansion of im in re 6.982 * [backup-simplify]: Simplify im into im 6.982 * [taylor]: Taking taylor expansion of im in re 6.983 * [backup-simplify]: Simplify im into im 6.983 * [backup-simplify]: Simplify (* 0 0) into 0 6.983 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.983 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.983 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.984 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.984 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.985 * [backup-simplify]: Simplify (+ 0 0) into 0 6.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.985 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.985 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.985 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.985 * [taylor]: Taking taylor expansion of (* re re) in re 6.985 * [taylor]: Taking taylor expansion of re in re 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify 1 into 1 6.985 * [taylor]: Taking taylor expansion of re in re 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify 1 into 1 6.985 * [taylor]: Taking taylor expansion of (* im im) in re 6.985 * [taylor]: Taking taylor expansion of im in re 6.985 * [backup-simplify]: Simplify im into im 6.985 * [taylor]: Taking taylor expansion of im in re 6.985 * [backup-simplify]: Simplify im into im 6.987 * [backup-simplify]: Simplify (* 0 0) into 0 6.988 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.988 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.988 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.989 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.989 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.989 * [backup-simplify]: Simplify (+ 0 0) into 0 6.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.989 * [taylor]: Taking taylor expansion of im in im 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 1 into 1 6.990 * [backup-simplify]: Simplify 0 into 0 6.995 * [taylor]: Taking taylor expansion of 0 in im 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify 1 into 1 6.996 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.997 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.997 * [backup-simplify]: Simplify (+ 1 0) into 1 6.998 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.998 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.998 * [taylor]: Taking taylor expansion of 1/2 in im 6.998 * [backup-simplify]: Simplify 1/2 into 1/2 6.998 * [taylor]: Taking taylor expansion of im in im 6.998 * [backup-simplify]: Simplify 0 into 0 6.998 * [backup-simplify]: Simplify 1 into 1 6.999 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.002 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.002 * [backup-simplify]: Simplify (+ 0 0) into 0 7.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.002 * [taylor]: Taking taylor expansion of 0 in im 7.002 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify 0 into 0 7.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.004 * [backup-simplify]: Simplify 0 into 0 7.004 * [backup-simplify]: Simplify 0 into 0 7.004 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.004 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 7.004 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 7.004 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.004 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.004 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.004 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.004 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.004 * [taylor]: Taking taylor expansion of re in im 7.004 * [backup-simplify]: Simplify re into re 7.004 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.004 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.004 * [taylor]: Taking taylor expansion of re in im 7.004 * [backup-simplify]: Simplify re into re 7.005 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.005 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.005 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.005 * [taylor]: Taking taylor expansion of im in im 7.005 * [backup-simplify]: Simplify 0 into 0 7.005 * [backup-simplify]: Simplify 1 into 1 7.005 * [backup-simplify]: Simplify (/ 1 1) into 1 7.005 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.005 * [taylor]: Taking taylor expansion of im in im 7.005 * [backup-simplify]: Simplify 0 into 0 7.005 * [backup-simplify]: Simplify 1 into 1 7.006 * [backup-simplify]: Simplify (/ 1 1) into 1 7.006 * [backup-simplify]: Simplify (* 1 1) into 1 7.006 * [backup-simplify]: Simplify (+ 0 1) into 1 7.007 * [backup-simplify]: Simplify (sqrt 1) into 1 7.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.009 * [backup-simplify]: Simplify (+ 0 0) into 0 7.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.010 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.010 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.010 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.010 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.010 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.010 * [taylor]: Taking taylor expansion of re in re 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 1 into 1 7.011 * [backup-simplify]: Simplify (/ 1 1) into 1 7.011 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.011 * [taylor]: Taking taylor expansion of re in re 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify 1 into 1 7.011 * [backup-simplify]: Simplify (/ 1 1) into 1 7.011 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.011 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.011 * [taylor]: Taking taylor expansion of im in re 7.011 * [backup-simplify]: Simplify im into im 7.011 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.011 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.011 * [taylor]: Taking taylor expansion of im in re 7.011 * [backup-simplify]: Simplify im into im 7.012 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.012 * [backup-simplify]: Simplify (* 1 1) into 1 7.012 * [backup-simplify]: Simplify (+ 1 0) into 1 7.013 * [backup-simplify]: Simplify (sqrt 1) into 1 7.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.015 * [backup-simplify]: Simplify (+ 0 0) into 0 7.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.016 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.016 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.016 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.016 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.016 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.016 * [taylor]: Taking taylor expansion of re in re 7.016 * [backup-simplify]: Simplify 0 into 0 7.016 * [backup-simplify]: Simplify 1 into 1 7.017 * [backup-simplify]: Simplify (/ 1 1) into 1 7.017 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.017 * [taylor]: Taking taylor expansion of re in re 7.017 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify 1 into 1 7.017 * [backup-simplify]: Simplify (/ 1 1) into 1 7.017 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.017 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.017 * [taylor]: Taking taylor expansion of im in re 7.017 * [backup-simplify]: Simplify im into im 7.017 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.017 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.017 * [taylor]: Taking taylor expansion of im in re 7.017 * [backup-simplify]: Simplify im into im 7.017 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.018 * [backup-simplify]: Simplify (* 1 1) into 1 7.018 * [backup-simplify]: Simplify (+ 1 0) into 1 7.019 * [backup-simplify]: Simplify (sqrt 1) into 1 7.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.021 * [backup-simplify]: Simplify (+ 0 0) into 0 7.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.022 * [taylor]: Taking taylor expansion of 1 in im 7.022 * [backup-simplify]: Simplify 1 into 1 7.022 * [taylor]: Taking taylor expansion of 0 in im 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 1 into 1 7.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.026 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 7.026 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.028 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.028 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.028 * [taylor]: Taking taylor expansion of 1/2 in im 7.028 * [backup-simplify]: Simplify 1/2 into 1/2 7.028 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.028 * [taylor]: Taking taylor expansion of im in im 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify 1 into 1 7.028 * [backup-simplify]: Simplify (* 1 1) into 1 7.029 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.030 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.034 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 7.035 * [backup-simplify]: Simplify (+ 0 0) into 0 7.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.035 * [taylor]: Taking taylor expansion of 0 in im 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.037 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.038 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 7.038 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 7.038 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.038 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.038 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.038 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.038 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.038 * [taylor]: Taking taylor expansion of -1 in im 7.038 * [backup-simplify]: Simplify -1 into -1 7.038 * [taylor]: Taking taylor expansion of re in im 7.038 * [backup-simplify]: Simplify re into re 7.038 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.038 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.038 * [taylor]: Taking taylor expansion of -1 in im 7.038 * [backup-simplify]: Simplify -1 into -1 7.038 * [taylor]: Taking taylor expansion of re in im 7.039 * [backup-simplify]: Simplify re into re 7.039 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.039 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.039 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.039 * [taylor]: Taking taylor expansion of -1 in im 7.039 * [backup-simplify]: Simplify -1 into -1 7.039 * [taylor]: Taking taylor expansion of im in im 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [backup-simplify]: Simplify (/ -1 1) into -1 7.039 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.039 * [taylor]: Taking taylor expansion of -1 in im 7.039 * [backup-simplify]: Simplify -1 into -1 7.040 * [taylor]: Taking taylor expansion of im in im 7.040 * [backup-simplify]: Simplify 0 into 0 7.040 * [backup-simplify]: Simplify 1 into 1 7.040 * [backup-simplify]: Simplify (/ -1 1) into -1 7.040 * [backup-simplify]: Simplify (* -1 -1) into 1 7.041 * [backup-simplify]: Simplify (+ 0 1) into 1 7.041 * [backup-simplify]: Simplify (sqrt 1) into 1 7.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.044 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.044 * [backup-simplify]: Simplify (+ 0 0) into 0 7.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.045 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.045 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.045 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.045 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.045 * [taylor]: Taking taylor expansion of -1 in re 7.045 * [backup-simplify]: Simplify -1 into -1 7.045 * [taylor]: Taking taylor expansion of re in re 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.045 * [backup-simplify]: Simplify (/ -1 1) into -1 7.045 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.045 * [taylor]: Taking taylor expansion of -1 in re 7.045 * [backup-simplify]: Simplify -1 into -1 7.045 * [taylor]: Taking taylor expansion of re in re 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.046 * [backup-simplify]: Simplify (/ -1 1) into -1 7.046 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.046 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.046 * [taylor]: Taking taylor expansion of -1 in re 7.046 * [backup-simplify]: Simplify -1 into -1 7.046 * [taylor]: Taking taylor expansion of im in re 7.046 * [backup-simplify]: Simplify im into im 7.046 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.046 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.046 * [taylor]: Taking taylor expansion of -1 in re 7.046 * [backup-simplify]: Simplify -1 into -1 7.046 * [taylor]: Taking taylor expansion of im in re 7.046 * [backup-simplify]: Simplify im into im 7.046 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.047 * [backup-simplify]: Simplify (* -1 -1) into 1 7.047 * [backup-simplify]: Simplify (+ 1 0) into 1 7.047 * [backup-simplify]: Simplify (sqrt 1) into 1 7.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.050 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.050 * [backup-simplify]: Simplify (+ 0 0) into 0 7.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.051 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.051 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.051 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.051 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.051 * [taylor]: Taking taylor expansion of -1 in re 7.051 * [backup-simplify]: Simplify -1 into -1 7.051 * [taylor]: Taking taylor expansion of re in re 7.051 * [backup-simplify]: Simplify 0 into 0 7.051 * [backup-simplify]: Simplify 1 into 1 7.051 * [backup-simplify]: Simplify (/ -1 1) into -1 7.052 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.052 * [taylor]: Taking taylor expansion of -1 in re 7.052 * [backup-simplify]: Simplify -1 into -1 7.052 * [taylor]: Taking taylor expansion of re in re 7.052 * [backup-simplify]: Simplify 0 into 0 7.052 * [backup-simplify]: Simplify 1 into 1 7.052 * [backup-simplify]: Simplify (/ -1 1) into -1 7.052 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.052 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.052 * [taylor]: Taking taylor expansion of -1 in re 7.052 * [backup-simplify]: Simplify -1 into -1 7.052 * [taylor]: Taking taylor expansion of im in re 7.052 * [backup-simplify]: Simplify im into im 7.052 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.052 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.052 * [taylor]: Taking taylor expansion of -1 in re 7.052 * [backup-simplify]: Simplify -1 into -1 7.052 * [taylor]: Taking taylor expansion of im in re 7.052 * [backup-simplify]: Simplify im into im 7.052 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.053 * [backup-simplify]: Simplify (* -1 -1) into 1 7.053 * [backup-simplify]: Simplify (+ 1 0) into 1 7.054 * [backup-simplify]: Simplify (sqrt 1) into 1 7.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.056 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.056 * [backup-simplify]: Simplify (+ 0 0) into 0 7.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.057 * [taylor]: Taking taylor expansion of 1 in im 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [taylor]: Taking taylor expansion of 0 in im 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.061 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.061 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.062 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.062 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.063 * [taylor]: Taking taylor expansion of 1/2 in im 7.063 * [backup-simplify]: Simplify 1/2 into 1/2 7.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.063 * [taylor]: Taking taylor expansion of im in im 7.063 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify 1 into 1 7.063 * [backup-simplify]: Simplify (* 1 1) into 1 7.064 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.065 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.068 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.069 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.069 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.069 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 7.069 * [backup-simplify]: Simplify (+ 0 0) into 0 7.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.069 * [taylor]: Taking taylor expansion of 0 in im 7.069 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.071 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.071 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 7.071 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 7.071 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 7.071 * [taylor]: Taking taylor expansion of (hypot re im) in im 7.071 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.071 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 7.071 * [taylor]: Taking taylor expansion of (* re re) in im 7.071 * [taylor]: Taking taylor expansion of re in im 7.071 * [backup-simplify]: Simplify re into re 7.071 * [taylor]: Taking taylor expansion of re in im 7.071 * [backup-simplify]: Simplify re into re 7.071 * [taylor]: Taking taylor expansion of (* im im) in im 7.071 * [taylor]: Taking taylor expansion of im in im 7.071 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify 1 into 1 7.071 * [taylor]: Taking taylor expansion of im in im 7.071 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.072 * [backup-simplify]: Simplify (* 0 0) into 0 7.072 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.072 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.072 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.072 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.072 * [backup-simplify]: Simplify (+ 0 0) into 0 7.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.072 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.073 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.073 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.073 * [taylor]: Taking taylor expansion of (* re re) in re 7.073 * [taylor]: Taking taylor expansion of re in re 7.073 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify 1 into 1 7.073 * [taylor]: Taking taylor expansion of re in re 7.073 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify 1 into 1 7.073 * [taylor]: Taking taylor expansion of (* im im) in re 7.073 * [taylor]: Taking taylor expansion of im in re 7.073 * [backup-simplify]: Simplify im into im 7.073 * [taylor]: Taking taylor expansion of im in re 7.073 * [backup-simplify]: Simplify im into im 7.073 * [backup-simplify]: Simplify (* 0 0) into 0 7.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.073 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.073 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.074 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.074 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.074 * [backup-simplify]: Simplify (+ 0 0) into 0 7.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.074 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.074 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.074 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.074 * [taylor]: Taking taylor expansion of (* re re) in re 7.074 * [taylor]: Taking taylor expansion of re in re 7.074 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify 1 into 1 7.074 * [taylor]: Taking taylor expansion of re in re 7.074 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify 1 into 1 7.074 * [taylor]: Taking taylor expansion of (* im im) in re 7.074 * [taylor]: Taking taylor expansion of im in re 7.074 * [backup-simplify]: Simplify im into im 7.074 * [taylor]: Taking taylor expansion of im in re 7.074 * [backup-simplify]: Simplify im into im 7.075 * [backup-simplify]: Simplify (* 0 0) into 0 7.075 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.075 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.075 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.075 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.076 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.076 * [backup-simplify]: Simplify (+ 0 0) into 0 7.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.076 * [taylor]: Taking taylor expansion of im in im 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify 1 into 1 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [taylor]: Taking taylor expansion of 0 in im 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify 1 into 1 7.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.077 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.077 * [backup-simplify]: Simplify (+ 1 0) into 1 7.078 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.078 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.078 * [taylor]: Taking taylor expansion of 1/2 in im 7.078 * [backup-simplify]: Simplify 1/2 into 1/2 7.078 * [taylor]: Taking taylor expansion of im in im 7.078 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify 1 into 1 7.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.078 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.080 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.080 * [backup-simplify]: Simplify (+ 0 0) into 0 7.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.080 * [taylor]: Taking taylor expansion of 0 in im 7.080 * [backup-simplify]: Simplify 0 into 0 7.080 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.082 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 7.082 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 7.082 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.082 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.082 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.082 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.082 * [taylor]: Taking taylor expansion of re in im 7.082 * [backup-simplify]: Simplify re into re 7.082 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.082 * [taylor]: Taking taylor expansion of re in im 7.082 * [backup-simplify]: Simplify re into re 7.082 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.083 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.083 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.083 * [taylor]: Taking taylor expansion of im in im 7.083 * [backup-simplify]: Simplify 0 into 0 7.083 * [backup-simplify]: Simplify 1 into 1 7.083 * [backup-simplify]: Simplify (/ 1 1) into 1 7.083 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.083 * [taylor]: Taking taylor expansion of im in im 7.083 * [backup-simplify]: Simplify 0 into 0 7.083 * [backup-simplify]: Simplify 1 into 1 7.084 * [backup-simplify]: Simplify (/ 1 1) into 1 7.084 * [backup-simplify]: Simplify (* 1 1) into 1 7.085 * [backup-simplify]: Simplify (+ 0 1) into 1 7.085 * [backup-simplify]: Simplify (sqrt 1) into 1 7.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.088 * [backup-simplify]: Simplify (+ 0 0) into 0 7.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.088 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.088 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.088 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.089 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.089 * [taylor]: Taking taylor expansion of re in re 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [backup-simplify]: Simplify (/ 1 1) into 1 7.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.089 * [taylor]: Taking taylor expansion of re in re 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.090 * [backup-simplify]: Simplify (/ 1 1) into 1 7.090 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.090 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.090 * [taylor]: Taking taylor expansion of im in re 7.090 * [backup-simplify]: Simplify im into im 7.090 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.090 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.090 * [taylor]: Taking taylor expansion of im in re 7.090 * [backup-simplify]: Simplify im into im 7.090 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.090 * [backup-simplify]: Simplify (* 1 1) into 1 7.091 * [backup-simplify]: Simplify (+ 1 0) into 1 7.091 * [backup-simplify]: Simplify (sqrt 1) into 1 7.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.094 * [backup-simplify]: Simplify (+ 0 0) into 0 7.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.095 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.095 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.095 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.095 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.095 * [taylor]: Taking taylor expansion of re in re 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify 1 into 1 7.095 * [backup-simplify]: Simplify (/ 1 1) into 1 7.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.095 * [taylor]: Taking taylor expansion of re in re 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify 1 into 1 7.096 * [backup-simplify]: Simplify (/ 1 1) into 1 7.096 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.096 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.096 * [taylor]: Taking taylor expansion of im in re 7.096 * [backup-simplify]: Simplify im into im 7.096 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.096 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.096 * [taylor]: Taking taylor expansion of im in re 7.096 * [backup-simplify]: Simplify im into im 7.096 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.097 * [backup-simplify]: Simplify (* 1 1) into 1 7.097 * [backup-simplify]: Simplify (+ 1 0) into 1 7.097 * [backup-simplify]: Simplify (sqrt 1) into 1 7.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.100 * [backup-simplify]: Simplify (+ 0 0) into 0 7.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.101 * [taylor]: Taking taylor expansion of 1 in im 7.101 * [backup-simplify]: Simplify 1 into 1 7.101 * [taylor]: Taking taylor expansion of 0 in im 7.101 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify 1 into 1 7.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.104 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 7.104 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.105 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.105 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.105 * [taylor]: Taking taylor expansion of 1/2 in im 7.105 * [backup-simplify]: Simplify 1/2 into 1/2 7.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.105 * [taylor]: Taking taylor expansion of im in im 7.105 * [backup-simplify]: Simplify 0 into 0 7.105 * [backup-simplify]: Simplify 1 into 1 7.106 * [backup-simplify]: Simplify (* 1 1) into 1 7.106 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.111 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 7.111 * [backup-simplify]: Simplify (+ 0 0) into 0 7.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.112 * [taylor]: Taking taylor expansion of 0 in im 7.112 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.114 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 7.114 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 7.114 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.114 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.115 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.115 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.115 * [taylor]: Taking taylor expansion of -1 in im 7.115 * [backup-simplify]: Simplify -1 into -1 7.115 * [taylor]: Taking taylor expansion of re in im 7.115 * [backup-simplify]: Simplify re into re 7.115 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.115 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.115 * [taylor]: Taking taylor expansion of -1 in im 7.115 * [backup-simplify]: Simplify -1 into -1 7.115 * [taylor]: Taking taylor expansion of re in im 7.115 * [backup-simplify]: Simplify re into re 7.115 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.115 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.115 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.115 * [taylor]: Taking taylor expansion of -1 in im 7.115 * [backup-simplify]: Simplify -1 into -1 7.115 * [taylor]: Taking taylor expansion of im in im 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 1 into 1 7.115 * [backup-simplify]: Simplify (/ -1 1) into -1 7.116 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.116 * [taylor]: Taking taylor expansion of -1 in im 7.116 * [backup-simplify]: Simplify -1 into -1 7.116 * [taylor]: Taking taylor expansion of im in im 7.116 * [backup-simplify]: Simplify 0 into 0 7.116 * [backup-simplify]: Simplify 1 into 1 7.116 * [backup-simplify]: Simplify (/ -1 1) into -1 7.116 * [backup-simplify]: Simplify (* -1 -1) into 1 7.117 * [backup-simplify]: Simplify (+ 0 1) into 1 7.117 * [backup-simplify]: Simplify (sqrt 1) into 1 7.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.120 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.120 * [backup-simplify]: Simplify (+ 0 0) into 0 7.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.121 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.121 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.121 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.121 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.121 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.121 * [taylor]: Taking taylor expansion of -1 in re 7.121 * [backup-simplify]: Simplify -1 into -1 7.121 * [taylor]: Taking taylor expansion of re in re 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (/ -1 1) into -1 7.121 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.121 * [taylor]: Taking taylor expansion of -1 in re 7.121 * [backup-simplify]: Simplify -1 into -1 7.121 * [taylor]: Taking taylor expansion of re in re 7.121 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify 1 into 1 7.122 * [backup-simplify]: Simplify (/ -1 1) into -1 7.122 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.122 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.122 * [taylor]: Taking taylor expansion of -1 in re 7.122 * [backup-simplify]: Simplify -1 into -1 7.122 * [taylor]: Taking taylor expansion of im in re 7.122 * [backup-simplify]: Simplify im into im 7.122 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.122 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.122 * [taylor]: Taking taylor expansion of -1 in re 7.122 * [backup-simplify]: Simplify -1 into -1 7.122 * [taylor]: Taking taylor expansion of im in re 7.122 * [backup-simplify]: Simplify im into im 7.122 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.123 * [backup-simplify]: Simplify (* -1 -1) into 1 7.123 * [backup-simplify]: Simplify (+ 1 0) into 1 7.123 * [backup-simplify]: Simplify (sqrt 1) into 1 7.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.126 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.126 * [backup-simplify]: Simplify (+ 0 0) into 0 7.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.127 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.127 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.127 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.127 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.127 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.127 * [taylor]: Taking taylor expansion of -1 in re 7.127 * [backup-simplify]: Simplify -1 into -1 7.127 * [taylor]: Taking taylor expansion of re in re 7.127 * [backup-simplify]: Simplify 0 into 0 7.127 * [backup-simplify]: Simplify 1 into 1 7.127 * [backup-simplify]: Simplify (/ -1 1) into -1 7.127 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.127 * [taylor]: Taking taylor expansion of -1 in re 7.127 * [backup-simplify]: Simplify -1 into -1 7.128 * [taylor]: Taking taylor expansion of re in re 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify 1 into 1 7.128 * [backup-simplify]: Simplify (/ -1 1) into -1 7.128 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.128 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.128 * [taylor]: Taking taylor expansion of -1 in re 7.128 * [backup-simplify]: Simplify -1 into -1 7.128 * [taylor]: Taking taylor expansion of im in re 7.128 * [backup-simplify]: Simplify im into im 7.128 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.128 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.128 * [taylor]: Taking taylor expansion of -1 in re 7.128 * [backup-simplify]: Simplify -1 into -1 7.128 * [taylor]: Taking taylor expansion of im in re 7.128 * [backup-simplify]: Simplify im into im 7.128 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.129 * [backup-simplify]: Simplify (* -1 -1) into 1 7.129 * [backup-simplify]: Simplify (+ 1 0) into 1 7.130 * [backup-simplify]: Simplify (sqrt 1) into 1 7.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.132 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.132 * [backup-simplify]: Simplify (+ 0 0) into 0 7.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.133 * [taylor]: Taking taylor expansion of 1 in im 7.133 * [backup-simplify]: Simplify 1 into 1 7.133 * [taylor]: Taking taylor expansion of 0 in im 7.133 * [backup-simplify]: Simplify 0 into 0 7.133 * [backup-simplify]: Simplify 1 into 1 7.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.137 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.137 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.137 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.142 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.142 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.142 * [taylor]: Taking taylor expansion of 1/2 in im 7.142 * [backup-simplify]: Simplify 1/2 into 1/2 7.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.142 * [taylor]: Taking taylor expansion of im in im 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify 1 into 1 7.142 * [backup-simplify]: Simplify (* 1 1) into 1 7.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify 0 into 0 7.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.149 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.149 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.149 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.150 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 7.150 * [backup-simplify]: Simplify (+ 0 0) into 0 7.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.151 * [taylor]: Taking taylor expansion of 0 in im 7.151 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.153 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.153 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.154 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 7.154 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 7.154 * [taylor]: Taking taylor expansion of (hypot re im) in im 7.154 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.154 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 7.154 * [taylor]: Taking taylor expansion of (* re re) in im 7.154 * [taylor]: Taking taylor expansion of re in im 7.154 * [backup-simplify]: Simplify re into re 7.154 * [taylor]: Taking taylor expansion of re in im 7.154 * [backup-simplify]: Simplify re into re 7.154 * [taylor]: Taking taylor expansion of (* im im) in im 7.154 * [taylor]: Taking taylor expansion of im in im 7.154 * [backup-simplify]: Simplify 0 into 0 7.154 * [backup-simplify]: Simplify 1 into 1 7.154 * [taylor]: Taking taylor expansion of im in im 7.154 * [backup-simplify]: Simplify 0 into 0 7.154 * [backup-simplify]: Simplify 1 into 1 7.154 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.155 * [backup-simplify]: Simplify (* 0 0) into 0 7.155 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.155 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.155 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.156 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.156 * [backup-simplify]: Simplify (+ 0 0) into 0 7.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.156 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.157 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.157 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.157 * [taylor]: Taking taylor expansion of (* re re) in re 7.157 * [taylor]: Taking taylor expansion of re in re 7.157 * [backup-simplify]: Simplify 0 into 0 7.157 * [backup-simplify]: Simplify 1 into 1 7.157 * [taylor]: Taking taylor expansion of re in re 7.157 * [backup-simplify]: Simplify 0 into 0 7.157 * [backup-simplify]: Simplify 1 into 1 7.157 * [taylor]: Taking taylor expansion of (* im im) in re 7.157 * [taylor]: Taking taylor expansion of im in re 7.157 * [backup-simplify]: Simplify im into im 7.157 * [taylor]: Taking taylor expansion of im in re 7.157 * [backup-simplify]: Simplify im into im 7.157 * [backup-simplify]: Simplify (* 0 0) into 0 7.157 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.157 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.158 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.158 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.158 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.159 * [backup-simplify]: Simplify (+ 0 0) into 0 7.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.159 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.159 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.159 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.159 * [taylor]: Taking taylor expansion of (* re re) in re 7.159 * [taylor]: Taking taylor expansion of re in re 7.159 * [backup-simplify]: Simplify 0 into 0 7.159 * [backup-simplify]: Simplify 1 into 1 7.159 * [taylor]: Taking taylor expansion of re in re 7.159 * [backup-simplify]: Simplify 0 into 0 7.159 * [backup-simplify]: Simplify 1 into 1 7.159 * [taylor]: Taking taylor expansion of (* im im) in re 7.159 * [taylor]: Taking taylor expansion of im in re 7.159 * [backup-simplify]: Simplify im into im 7.159 * [taylor]: Taking taylor expansion of im in re 7.159 * [backup-simplify]: Simplify im into im 7.160 * [backup-simplify]: Simplify (* 0 0) into 0 7.160 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.160 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.160 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.160 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.161 * [backup-simplify]: Simplify (+ 0 0) into 0 7.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.161 * [taylor]: Taking taylor expansion of im in im 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify 1 into 1 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [taylor]: Taking taylor expansion of 0 in im 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify 1 into 1 7.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.162 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.162 * [backup-simplify]: Simplify (+ 1 0) into 1 7.163 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.163 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.163 * [taylor]: Taking taylor expansion of 1/2 in im 7.163 * [backup-simplify]: Simplify 1/2 into 1/2 7.163 * [taylor]: Taking taylor expansion of im in im 7.163 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify 1 into 1 7.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.164 * [backup-simplify]: Simplify 0 into 0 7.164 * [backup-simplify]: Simplify 0 into 0 7.164 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.166 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.166 * [backup-simplify]: Simplify (+ 0 0) into 0 7.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.166 * [taylor]: Taking taylor expansion of 0 in im 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.167 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 7.167 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 7.167 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.167 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.167 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.167 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.167 * [taylor]: Taking taylor expansion of re in im 7.167 * [backup-simplify]: Simplify re into re 7.167 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.167 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.167 * [taylor]: Taking taylor expansion of re in im 7.167 * [backup-simplify]: Simplify re into re 7.167 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.167 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.167 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.167 * [taylor]: Taking taylor expansion of im in im 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify (/ 1 1) into 1 7.168 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.168 * [taylor]: Taking taylor expansion of im in im 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify (/ 1 1) into 1 7.168 * [backup-simplify]: Simplify (* 1 1) into 1 7.169 * [backup-simplify]: Simplify (+ 0 1) into 1 7.169 * [backup-simplify]: Simplify (sqrt 1) into 1 7.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.171 * [backup-simplify]: Simplify (+ 0 0) into 0 7.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.171 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.171 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.171 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.171 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.171 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.171 * [taylor]: Taking taylor expansion of re in re 7.171 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify 1 into 1 7.172 * [backup-simplify]: Simplify (/ 1 1) into 1 7.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.172 * [taylor]: Taking taylor expansion of re in re 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 1 into 1 7.172 * [backup-simplify]: Simplify (/ 1 1) into 1 7.172 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.172 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.172 * [taylor]: Taking taylor expansion of im in re 7.172 * [backup-simplify]: Simplify im into im 7.172 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.172 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.172 * [taylor]: Taking taylor expansion of im in re 7.172 * [backup-simplify]: Simplify im into im 7.172 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.172 * [backup-simplify]: Simplify (* 1 1) into 1 7.173 * [backup-simplify]: Simplify (+ 1 0) into 1 7.173 * [backup-simplify]: Simplify (sqrt 1) into 1 7.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.174 * [backup-simplify]: Simplify (+ 0 0) into 0 7.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.175 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.175 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.175 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.175 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.175 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.175 * [taylor]: Taking taylor expansion of re in re 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 1 into 1 7.175 * [backup-simplify]: Simplify (/ 1 1) into 1 7.175 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.175 * [taylor]: Taking taylor expansion of re in re 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 1 into 1 7.175 * [backup-simplify]: Simplify (/ 1 1) into 1 7.175 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.175 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.176 * [taylor]: Taking taylor expansion of im in re 7.176 * [backup-simplify]: Simplify im into im 7.176 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.176 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.176 * [taylor]: Taking taylor expansion of im in re 7.176 * [backup-simplify]: Simplify im into im 7.176 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.176 * [backup-simplify]: Simplify (* 1 1) into 1 7.176 * [backup-simplify]: Simplify (+ 1 0) into 1 7.176 * [backup-simplify]: Simplify (sqrt 1) into 1 7.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.178 * [backup-simplify]: Simplify (+ 0 0) into 0 7.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.178 * [taylor]: Taking taylor expansion of 1 in im 7.178 * [backup-simplify]: Simplify 1 into 1 7.178 * [taylor]: Taking taylor expansion of 0 in im 7.178 * [backup-simplify]: Simplify 0 into 0 7.179 * [backup-simplify]: Simplify 1 into 1 7.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.180 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 7.180 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.181 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.181 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.181 * [taylor]: Taking taylor expansion of 1/2 in im 7.181 * [backup-simplify]: Simplify 1/2 into 1/2 7.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.181 * [taylor]: Taking taylor expansion of im in im 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 1 into 1 7.182 * [backup-simplify]: Simplify (* 1 1) into 1 7.182 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.183 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.185 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 7.185 * [backup-simplify]: Simplify (+ 0 0) into 0 7.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.186 * [taylor]: Taking taylor expansion of 0 in im 7.186 * [backup-simplify]: Simplify 0 into 0 7.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.187 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 7.187 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 7.187 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.187 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.187 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.187 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.187 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.187 * [taylor]: Taking taylor expansion of -1 in im 7.187 * [backup-simplify]: Simplify -1 into -1 7.187 * [taylor]: Taking taylor expansion of re in im 7.187 * [backup-simplify]: Simplify re into re 7.187 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.187 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.187 * [taylor]: Taking taylor expansion of -1 in im 7.187 * [backup-simplify]: Simplify -1 into -1 7.187 * [taylor]: Taking taylor expansion of re in im 7.187 * [backup-simplify]: Simplify re into re 7.187 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.187 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.187 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.187 * [taylor]: Taking taylor expansion of -1 in im 7.187 * [backup-simplify]: Simplify -1 into -1 7.187 * [taylor]: Taking taylor expansion of im in im 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify 1 into 1 7.188 * [backup-simplify]: Simplify (/ -1 1) into -1 7.188 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.188 * [taylor]: Taking taylor expansion of -1 in im 7.188 * [backup-simplify]: Simplify -1 into -1 7.188 * [taylor]: Taking taylor expansion of im in im 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 1 into 1 7.188 * [backup-simplify]: Simplify (/ -1 1) into -1 7.188 * [backup-simplify]: Simplify (* -1 -1) into 1 7.189 * [backup-simplify]: Simplify (+ 0 1) into 1 7.189 * [backup-simplify]: Simplify (sqrt 1) into 1 7.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.191 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.191 * [backup-simplify]: Simplify (+ 0 0) into 0 7.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.192 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.192 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.192 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.192 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.192 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.192 * [taylor]: Taking taylor expansion of -1 in re 7.192 * [backup-simplify]: Simplify -1 into -1 7.192 * [taylor]: Taking taylor expansion of re in re 7.192 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify 1 into 1 7.193 * [backup-simplify]: Simplify (/ -1 1) into -1 7.193 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.193 * [taylor]: Taking taylor expansion of -1 in re 7.193 * [backup-simplify]: Simplify -1 into -1 7.193 * [taylor]: Taking taylor expansion of re in re 7.193 * [backup-simplify]: Simplify 0 into 0 7.193 * [backup-simplify]: Simplify 1 into 1 7.193 * [backup-simplify]: Simplify (/ -1 1) into -1 7.193 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.194 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.194 * [taylor]: Taking taylor expansion of -1 in re 7.194 * [backup-simplify]: Simplify -1 into -1 7.194 * [taylor]: Taking taylor expansion of im in re 7.194 * [backup-simplify]: Simplify im into im 7.194 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.194 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.194 * [taylor]: Taking taylor expansion of -1 in re 7.194 * [backup-simplify]: Simplify -1 into -1 7.194 * [taylor]: Taking taylor expansion of im in re 7.194 * [backup-simplify]: Simplify im into im 7.194 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.194 * [backup-simplify]: Simplify (* -1 -1) into 1 7.195 * [backup-simplify]: Simplify (+ 1 0) into 1 7.195 * [backup-simplify]: Simplify (sqrt 1) into 1 7.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.197 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.198 * [backup-simplify]: Simplify (+ 0 0) into 0 7.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.198 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.198 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.198 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.199 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.199 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.199 * [taylor]: Taking taylor expansion of -1 in re 7.199 * [backup-simplify]: Simplify -1 into -1 7.199 * [taylor]: Taking taylor expansion of re in re 7.199 * [backup-simplify]: Simplify 0 into 0 7.199 * [backup-simplify]: Simplify 1 into 1 7.199 * [backup-simplify]: Simplify (/ -1 1) into -1 7.199 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.199 * [taylor]: Taking taylor expansion of -1 in re 7.199 * [backup-simplify]: Simplify -1 into -1 7.199 * [taylor]: Taking taylor expansion of re in re 7.199 * [backup-simplify]: Simplify 0 into 0 7.199 * [backup-simplify]: Simplify 1 into 1 7.200 * [backup-simplify]: Simplify (/ -1 1) into -1 7.200 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.200 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.200 * [taylor]: Taking taylor expansion of -1 in re 7.200 * [backup-simplify]: Simplify -1 into -1 7.200 * [taylor]: Taking taylor expansion of im in re 7.200 * [backup-simplify]: Simplify im into im 7.200 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.200 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.200 * [taylor]: Taking taylor expansion of -1 in re 7.200 * [backup-simplify]: Simplify -1 into -1 7.200 * [taylor]: Taking taylor expansion of im in re 7.200 * [backup-simplify]: Simplify im into im 7.200 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.200 * [backup-simplify]: Simplify (* -1 -1) into 1 7.201 * [backup-simplify]: Simplify (+ 1 0) into 1 7.201 * [backup-simplify]: Simplify (sqrt 1) into 1 7.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.203 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.204 * [backup-simplify]: Simplify (+ 0 0) into 0 7.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.205 * [taylor]: Taking taylor expansion of 1 in im 7.205 * [backup-simplify]: Simplify 1 into 1 7.205 * [taylor]: Taking taylor expansion of 0 in im 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify 1 into 1 7.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.208 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.208 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.208 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.209 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.209 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.209 * [taylor]: Taking taylor expansion of 1/2 in im 7.209 * [backup-simplify]: Simplify 1/2 into 1/2 7.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.209 * [taylor]: Taking taylor expansion of im in im 7.209 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify 1 into 1 7.210 * [backup-simplify]: Simplify (* 1 1) into 1 7.210 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 0 into 0 7.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.214 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.214 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.214 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.214 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 7.214 * [backup-simplify]: Simplify (+ 0 0) into 0 7.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.215 * [taylor]: Taking taylor expansion of 0 in im 7.215 * [backup-simplify]: Simplify 0 into 0 7.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.216 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 7.216 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im)) 7.216 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 7.216 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 7.216 * [taylor]: Taking taylor expansion of (hypot re im) in im 7.216 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.216 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 7.216 * [taylor]: Taking taylor expansion of (* re re) in im 7.216 * [taylor]: Taking taylor expansion of re in im 7.216 * [backup-simplify]: Simplify re into re 7.216 * [taylor]: Taking taylor expansion of re in im 7.216 * [backup-simplify]: Simplify re into re 7.216 * [taylor]: Taking taylor expansion of (* im im) in im 7.216 * [taylor]: Taking taylor expansion of im in im 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 1 into 1 7.216 * [taylor]: Taking taylor expansion of im in im 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 1 into 1 7.216 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.217 * [backup-simplify]: Simplify (* 0 0) into 0 7.217 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.217 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.217 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.217 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.218 * [backup-simplify]: Simplify (+ 0 0) into 0 7.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.218 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 7.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 7.218 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 7.218 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.218 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.218 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.218 * [taylor]: Taking taylor expansion of (* re re) in re 7.218 * [taylor]: Taking taylor expansion of re in re 7.218 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify 1 into 1 7.218 * [taylor]: Taking taylor expansion of re in re 7.218 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify 1 into 1 7.218 * [taylor]: Taking taylor expansion of (* im im) in re 7.218 * [taylor]: Taking taylor expansion of im in re 7.218 * [backup-simplify]: Simplify im into im 7.218 * [taylor]: Taking taylor expansion of im in re 7.218 * [backup-simplify]: Simplify im into im 7.218 * [backup-simplify]: Simplify (* 0 0) into 0 7.218 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.218 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.218 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.219 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.219 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.219 * [backup-simplify]: Simplify (+ 0 0) into 0 7.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.219 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 7.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 7.219 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 7.219 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.219 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.219 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.219 * [taylor]: Taking taylor expansion of (* re re) in re 7.219 * [taylor]: Taking taylor expansion of re in re 7.219 * [backup-simplify]: Simplify 0 into 0 7.219 * [backup-simplify]: Simplify 1 into 1 7.219 * [taylor]: Taking taylor expansion of re in re 7.219 * [backup-simplify]: Simplify 0 into 0 7.219 * [backup-simplify]: Simplify 1 into 1 7.219 * [taylor]: Taking taylor expansion of (* im im) in re 7.219 * [taylor]: Taking taylor expansion of im in re 7.219 * [backup-simplify]: Simplify im into im 7.219 * [taylor]: Taking taylor expansion of im in re 7.219 * [backup-simplify]: Simplify im into im 7.220 * [backup-simplify]: Simplify (* 0 0) into 0 7.220 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.220 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.220 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.220 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.220 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.221 * [backup-simplify]: Simplify (+ 0 0) into 0 7.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.221 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 7.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 7.221 * [taylor]: Taking taylor expansion of (sqrt im) in im 7.221 * [taylor]: Taking taylor expansion of im in im 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 1 into 1 7.221 * [backup-simplify]: Simplify (sqrt 0) into 0 7.222 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [taylor]: Taking taylor expansion of 0 in im 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.223 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.223 * [backup-simplify]: Simplify (+ 1 0) into 1 7.224 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.224 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 7.224 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 7.224 * [taylor]: Taking taylor expansion of 1/4 in im 7.224 * [backup-simplify]: Simplify 1/4 into 1/4 7.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 7.225 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 7.225 * [taylor]: Taking taylor expansion of (pow im 3) in im 7.225 * [taylor]: Taking taylor expansion of im in im 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify 1 into 1 7.225 * [backup-simplify]: Simplify (* 1 1) into 1 7.225 * [backup-simplify]: Simplify (* 1 1) into 1 7.225 * [backup-simplify]: Simplify (/ 1 1) into 1 7.226 * [backup-simplify]: Simplify (sqrt 0) into 0 7.227 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.230 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.231 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.232 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.232 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.234 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.234 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) 7.234 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im))) 7.234 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 7.234 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 7.234 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.234 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.234 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.234 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.235 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.235 * [taylor]: Taking taylor expansion of re in im 7.235 * [backup-simplify]: Simplify re into re 7.235 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.235 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.235 * [taylor]: Taking taylor expansion of re in im 7.235 * [backup-simplify]: Simplify re into re 7.235 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.235 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.235 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.235 * [taylor]: Taking taylor expansion of im in im 7.235 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify 1 into 1 7.235 * [backup-simplify]: Simplify (/ 1 1) into 1 7.235 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.235 * [taylor]: Taking taylor expansion of im in im 7.235 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify 1 into 1 7.235 * [backup-simplify]: Simplify (/ 1 1) into 1 7.236 * [backup-simplify]: Simplify (* 1 1) into 1 7.236 * [backup-simplify]: Simplify (+ 0 1) into 1 7.236 * [backup-simplify]: Simplify (sqrt 1) into 1 7.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.238 * [backup-simplify]: Simplify (+ 0 0) into 0 7.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.238 * [backup-simplify]: Simplify (sqrt 0) into 0 7.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.239 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 7.239 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.239 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.239 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.239 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.239 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.239 * [taylor]: Taking taylor expansion of re in re 7.239 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify 1 into 1 7.240 * [backup-simplify]: Simplify (/ 1 1) into 1 7.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.240 * [taylor]: Taking taylor expansion of re in re 7.240 * [backup-simplify]: Simplify 0 into 0 7.240 * [backup-simplify]: Simplify 1 into 1 7.240 * [backup-simplify]: Simplify (/ 1 1) into 1 7.240 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.240 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.240 * [taylor]: Taking taylor expansion of im in re 7.240 * [backup-simplify]: Simplify im into im 7.240 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.240 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.240 * [taylor]: Taking taylor expansion of im in re 7.240 * [backup-simplify]: Simplify im into im 7.240 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.240 * [backup-simplify]: Simplify (* 1 1) into 1 7.241 * [backup-simplify]: Simplify (+ 1 0) into 1 7.241 * [backup-simplify]: Simplify (sqrt 1) into 1 7.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.243 * [backup-simplify]: Simplify (+ 0 0) into 0 7.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.244 * [backup-simplify]: Simplify (sqrt 0) into 0 7.245 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.246 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 7.246 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.246 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.246 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.246 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.246 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.246 * [taylor]: Taking taylor expansion of re in re 7.246 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify 1 into 1 7.246 * [backup-simplify]: Simplify (/ 1 1) into 1 7.246 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.246 * [taylor]: Taking taylor expansion of re in re 7.246 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify 1 into 1 7.247 * [backup-simplify]: Simplify (/ 1 1) into 1 7.247 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.247 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.247 * [taylor]: Taking taylor expansion of im in re 7.247 * [backup-simplify]: Simplify im into im 7.247 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.247 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.247 * [taylor]: Taking taylor expansion of im in re 7.247 * [backup-simplify]: Simplify im into im 7.247 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.247 * [backup-simplify]: Simplify (* 1 1) into 1 7.248 * [backup-simplify]: Simplify (+ 1 0) into 1 7.248 * [backup-simplify]: Simplify (sqrt 1) into 1 7.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.251 * [backup-simplify]: Simplify (+ 0 0) into 0 7.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.252 * [backup-simplify]: Simplify (sqrt 0) into 0 7.253 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.253 * [taylor]: Taking taylor expansion of 0 in im 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [taylor]: Taking taylor expansion of +nan.0 in im 7.253 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.253 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.259 * [taylor]: Taking taylor expansion of +nan.0 in im 7.259 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.259 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.260 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.262 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 7.262 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.263 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.265 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 7.265 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 7.265 * [taylor]: Taking taylor expansion of +nan.0 in im 7.265 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.265 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 7.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.265 * [taylor]: Taking taylor expansion of 1/2 in im 7.265 * [backup-simplify]: Simplify 1/2 into 1/2 7.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.265 * [taylor]: Taking taylor expansion of im in im 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 1 into 1 7.265 * [backup-simplify]: Simplify (* 1 1) into 1 7.266 * [backup-simplify]: Simplify (/ 1 1) into 1 7.266 * [taylor]: Taking taylor expansion of +nan.0 in im 7.266 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.267 * [backup-simplify]: Simplify (+ 0 0) into 0 7.268 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.268 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.268 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify 0 into 0 7.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.271 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 7.271 * [backup-simplify]: Simplify (+ 0 0) into 0 7.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.272 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.272 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 7.272 * [taylor]: Taking taylor expansion of +nan.0 in im 7.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.272 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 7.272 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 7.272 * [taylor]: Taking taylor expansion of +nan.0 in im 7.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.272 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.272 * [taylor]: Taking taylor expansion of im in im 7.272 * [backup-simplify]: Simplify 0 into 0 7.272 * [backup-simplify]: Simplify 1 into 1 7.272 * [backup-simplify]: Simplify (* 1 1) into 1 7.273 * [backup-simplify]: Simplify (/ 1 1) into 1 7.273 * [taylor]: Taking taylor expansion of (- +nan.0) in im 7.273 * [taylor]: Taking taylor expansion of +nan.0 in im 7.273 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.274 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.274 * [backup-simplify]: Simplify (+ 0 0) into 0 7.274 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.275 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.275 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 7.275 * [backup-simplify]: Simplify 0 into 0 7.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.277 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.278 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.279 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 7.280 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.280 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 7.280 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im))) 7.280 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 7.280 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 7.280 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.280 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.280 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.280 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.280 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.280 * [taylor]: Taking taylor expansion of -1 in im 7.280 * [backup-simplify]: Simplify -1 into -1 7.280 * [taylor]: Taking taylor expansion of re in im 7.280 * [backup-simplify]: Simplify re into re 7.280 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.280 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.280 * [taylor]: Taking taylor expansion of -1 in im 7.280 * [backup-simplify]: Simplify -1 into -1 7.280 * [taylor]: Taking taylor expansion of re in im 7.280 * [backup-simplify]: Simplify re into re 7.280 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.281 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.281 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.281 * [taylor]: Taking taylor expansion of -1 in im 7.281 * [backup-simplify]: Simplify -1 into -1 7.281 * [taylor]: Taking taylor expansion of im in im 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 1 into 1 7.281 * [backup-simplify]: Simplify (/ -1 1) into -1 7.281 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.281 * [taylor]: Taking taylor expansion of -1 in im 7.281 * [backup-simplify]: Simplify -1 into -1 7.281 * [taylor]: Taking taylor expansion of im in im 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 1 into 1 7.281 * [backup-simplify]: Simplify (/ -1 1) into -1 7.282 * [backup-simplify]: Simplify (* -1 -1) into 1 7.282 * [backup-simplify]: Simplify (+ 0 1) into 1 7.282 * [backup-simplify]: Simplify (sqrt 1) into 1 7.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.284 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.284 * [backup-simplify]: Simplify (+ 0 0) into 0 7.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.284 * [backup-simplify]: Simplify (sqrt 0) into 0 7.285 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.285 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 7.285 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.286 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.286 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.286 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.286 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.286 * [taylor]: Taking taylor expansion of -1 in re 7.286 * [backup-simplify]: Simplify -1 into -1 7.286 * [taylor]: Taking taylor expansion of re in re 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify 1 into 1 7.286 * [backup-simplify]: Simplify (/ -1 1) into -1 7.286 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.286 * [taylor]: Taking taylor expansion of -1 in re 7.286 * [backup-simplify]: Simplify -1 into -1 7.286 * [taylor]: Taking taylor expansion of re in re 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify 1 into 1 7.286 * [backup-simplify]: Simplify (/ -1 1) into -1 7.286 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.286 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.286 * [taylor]: Taking taylor expansion of -1 in re 7.286 * [backup-simplify]: Simplify -1 into -1 7.286 * [taylor]: Taking taylor expansion of im in re 7.286 * [backup-simplify]: Simplify im into im 7.286 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.286 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.286 * [taylor]: Taking taylor expansion of -1 in re 7.286 * [backup-simplify]: Simplify -1 into -1 7.287 * [taylor]: Taking taylor expansion of im in re 7.287 * [backup-simplify]: Simplify im into im 7.287 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.287 * [backup-simplify]: Simplify (* -1 -1) into 1 7.287 * [backup-simplify]: Simplify (+ 1 0) into 1 7.287 * [backup-simplify]: Simplify (sqrt 1) into 1 7.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.289 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.290 * [backup-simplify]: Simplify (+ 0 0) into 0 7.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.291 * [backup-simplify]: Simplify (sqrt 0) into 0 7.292 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.293 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 7.293 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.293 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.293 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.293 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.293 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.293 * [taylor]: Taking taylor expansion of -1 in re 7.293 * [backup-simplify]: Simplify -1 into -1 7.293 * [taylor]: Taking taylor expansion of re in re 7.293 * [backup-simplify]: Simplify 0 into 0 7.293 * [backup-simplify]: Simplify 1 into 1 7.293 * [backup-simplify]: Simplify (/ -1 1) into -1 7.294 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.294 * [taylor]: Taking taylor expansion of -1 in re 7.294 * [backup-simplify]: Simplify -1 into -1 7.294 * [taylor]: Taking taylor expansion of re in re 7.294 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify 1 into 1 7.294 * [backup-simplify]: Simplify (/ -1 1) into -1 7.294 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.294 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.294 * [taylor]: Taking taylor expansion of -1 in re 7.294 * [backup-simplify]: Simplify -1 into -1 7.294 * [taylor]: Taking taylor expansion of im in re 7.294 * [backup-simplify]: Simplify im into im 7.294 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.294 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.294 * [taylor]: Taking taylor expansion of -1 in re 7.294 * [backup-simplify]: Simplify -1 into -1 7.295 * [taylor]: Taking taylor expansion of im in re 7.295 * [backup-simplify]: Simplify im into im 7.295 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.295 * [backup-simplify]: Simplify (* -1 -1) into 1 7.296 * [backup-simplify]: Simplify (+ 1 0) into 1 7.296 * [backup-simplify]: Simplify (sqrt 1) into 1 7.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.299 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.299 * [backup-simplify]: Simplify (+ 0 0) into 0 7.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.300 * [backup-simplify]: Simplify (sqrt 0) into 0 7.302 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.302 * [taylor]: Taking taylor expansion of 0 in im 7.302 * [backup-simplify]: Simplify 0 into 0 7.302 * [taylor]: Taking taylor expansion of +nan.0 in im 7.302 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.302 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.306 * [taylor]: Taking taylor expansion of +nan.0 in im 7.306 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.306 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.306 * [backup-simplify]: Simplify 0 into 0 7.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.310 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.310 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.310 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.312 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.313 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 7.313 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 7.313 * [taylor]: Taking taylor expansion of +nan.0 in im 7.313 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.313 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 7.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.313 * [taylor]: Taking taylor expansion of 1/2 in im 7.313 * [backup-simplify]: Simplify 1/2 into 1/2 7.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.313 * [taylor]: Taking taylor expansion of im in im 7.313 * [backup-simplify]: Simplify 0 into 0 7.313 * [backup-simplify]: Simplify 1 into 1 7.314 * [backup-simplify]: Simplify (* 1 1) into 1 7.314 * [backup-simplify]: Simplify (/ 1 1) into 1 7.314 * [taylor]: Taking taylor expansion of +nan.0 in im 7.314 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.315 * [backup-simplify]: Simplify (+ 0 0) into 0 7.316 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.316 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.316 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.316 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.318 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.318 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.319 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.319 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 7.319 * [backup-simplify]: Simplify (+ 0 0) into 0 7.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.320 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.320 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 7.320 * [taylor]: Taking taylor expansion of +nan.0 in im 7.320 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.320 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 7.320 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 7.320 * [taylor]: Taking taylor expansion of +nan.0 in im 7.320 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.320 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.320 * [taylor]: Taking taylor expansion of im in im 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 1 into 1 7.320 * [backup-simplify]: Simplify (* 1 1) into 1 7.321 * [backup-simplify]: Simplify (/ 1 1) into 1 7.321 * [taylor]: Taking taylor expansion of (- +nan.0) in im 7.321 * [taylor]: Taking taylor expansion of +nan.0 in im 7.321 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.322 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.322 * [backup-simplify]: Simplify (+ 0 0) into 0 7.323 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.323 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.323 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.325 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.326 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.327 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 7.327 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.328 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 7.328 * * * [progress]: simplifying candidates 7.328 * * * * [progress]: [ 1 / 102 ] simplifiying candidate # 7.328 * * * * [progress]: [ 2 / 102 ] simplifiying candidate # 7.328 * * * * [progress]: [ 3 / 102 ] simplifiying candidate # 7.328 * * * * [progress]: [ 4 / 102 ] simplifiying candidate # 7.328 * * * * [progress]: [ 5 / 102 ] simplifiying candidate # 7.328 * * * * [progress]: [ 6 / 102 ] simplifiying candidate # 7.328 * * * * [progress]: [ 7 / 102 ] simplifiying candidate # 7.328 * * * * [progress]: [ 8 / 102 ] simplifiying candidate # 7.328 * * * * [progress]: [ 9 / 102 ] simplifiying candidate # 7.328 * * * * [progress]: [ 10 / 102 ] simplifiying candidate # 7.328 * * * * [progress]: [ 11 / 102 ] simplifiying candidate # 7.328 * * * * [progress]: [ 12 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 13 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 14 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 15 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 16 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 17 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 18 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 19 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 20 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 21 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 22 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 23 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 24 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 25 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 26 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 27 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 28 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 29 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 30 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 31 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 32 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 33 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 34 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 35 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 36 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 37 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 38 / 102 ] simplifiying candidate # 7.329 * * * * [progress]: [ 39 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 40 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 41 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 42 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 43 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 44 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 45 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 46 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 47 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 48 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 49 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 50 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 51 / 102 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot re im)) (sqrt (hypot re im))))))> 7.330 * * * * [progress]: [ 52 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 53 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 54 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 55 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 56 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 57 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 58 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 59 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 60 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 61 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 62 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 63 / 102 ] simplifiying candidate #real (real->posit16 (hypot re im))))))> 7.330 * * * * [progress]: [ 64 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 65 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 66 / 102 ] simplifiying candidate # 7.330 * * * * [progress]: [ 67 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 68 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 69 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 70 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 71 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 72 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 73 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 74 / 102 ] simplifiying candidate #real (real->posit16 (hypot re im)))) (sqrt (hypot re im))))> 7.331 * * * * [progress]: [ 75 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 76 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 77 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 78 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 79 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 80 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 81 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 82 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 83 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 84 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 85 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 86 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 87 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 88 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 89 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 90 / 102 ] simplifiying candidate #real (real->posit16 (sqrt (hypot re im))))))> 7.331 * * * * [progress]: [ 91 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 92 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 93 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 94 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 95 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 96 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 97 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 98 / 102 ] simplifiying candidate # 7.331 * * * * [progress]: [ 99 / 102 ] simplifiying candidate # 7.332 * * * * [progress]: [ 100 / 102 ] simplifiying candidate # 7.332 * * * * [progress]: [ 101 / 102 ] simplifiying candidate # 7.332 * * * * [progress]: [ 102 / 102 ] simplifiying candidate # 7.332 * [simplify]: Simplifying: (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (real->posit16 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt 1) (sqrt (hypot re im)) (/ 1 2) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (real->posit16 (sqrt (hypot re im))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 7.333 * * [simplify]: iteration 1: (89 enodes) 7.368 * * [simplify]: iteration 2: (181 enodes) 7.425 * * [simplify]: iteration 3: (366 enodes) 7.619 * * [simplify]: iteration 4: (769 enodes) 8.288 * * [simplify]: iteration 5: (1833 enodes) 14.663 * * [simplify]: Extracting #0: cost 36 inf + 0 14.665 * * [simplify]: Extracting #1: cost 339 inf + 46 14.673 * * [simplify]: Extracting #2: cost 723 inf + 3828 14.699 * * [simplify]: Extracting #3: cost 436 inf + 51402 14.753 * * [simplify]: Extracting #4: cost 203 inf + 138987 14.795 * * [simplify]: Extracting #5: cost 23 inf + 241879 14.842 * * [simplify]: Extracting #6: cost 0 inf + 258472 14.889 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (hypot re im) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (hypot re im) (real->posit16 (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (hypot re im) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) 1/2 (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (real->posit16 (sqrt (hypot re im))) im re (- re) im re (- re) im re (- re) (* (- (- (* re re) im) (* im im)) +nan.0) (- (- (/ +nan.0 (* re re)) (/ +nan.0 re)) +nan.0) (- (- (/ +nan.0 (* re re)) (/ +nan.0 re)) +nan.0) 14.892 * * * [progress]: adding candidates to table 15.622 * * [progress]: iteration 3 / 4 15.622 * * * [progress]: picking best candidate 15.626 * * * * [pick]: Picked # 15.626 * * * [progress]: localizing error 15.643 * * * [progress]: generating rewritten candidates 15.643 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 15.666 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 15.707 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 15.709 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 15.713 * * * [progress]: generating series expansions 15.713 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 15.713 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) into (pow (pow (hypot re im) 3) 1/4) 15.713 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 3) 1/4) in (re im) around 0 15.713 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 3) 1/4) in im 15.713 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot re im) 3)))) in im 15.713 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot re im) 3))) in im 15.713 * [taylor]: Taking taylor expansion of 1/4 in im 15.713 * [backup-simplify]: Simplify 1/4 into 1/4 15.713 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 3)) in im 15.713 * [taylor]: Taking taylor expansion of (pow (hypot re im) 3) in im 15.713 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.713 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.713 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.713 * [taylor]: Taking taylor expansion of (* re re) in im 15.713 * [taylor]: Taking taylor expansion of re in im 15.713 * [backup-simplify]: Simplify re into re 15.713 * [taylor]: Taking taylor expansion of re in im 15.713 * [backup-simplify]: Simplify re into re 15.713 * [taylor]: Taking taylor expansion of (* im im) in im 15.713 * [taylor]: Taking taylor expansion of im in im 15.713 * [backup-simplify]: Simplify 0 into 0 15.713 * [backup-simplify]: Simplify 1 into 1 15.713 * [taylor]: Taking taylor expansion of im in im 15.713 * [backup-simplify]: Simplify 0 into 0 15.713 * [backup-simplify]: Simplify 1 into 1 15.713 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.714 * [backup-simplify]: Simplify (* 0 0) into 0 15.714 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.714 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.714 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.715 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.715 * [backup-simplify]: Simplify (+ 0 0) into 0 15.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.715 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.715 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 15.715 * [backup-simplify]: Simplify (log (pow re 3)) into (log (pow re 3)) 15.715 * [backup-simplify]: Simplify (* 1/4 (log (pow re 3))) into (* 1/4 (log (pow re 3))) 15.715 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow re 3)))) into (pow (pow re 3) 1/4) 15.715 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 3) 1/4) in re 15.715 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot re im) 3)))) in re 15.715 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot re im) 3))) in re 15.715 * [taylor]: Taking taylor expansion of 1/4 in re 15.715 * [backup-simplify]: Simplify 1/4 into 1/4 15.715 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 3)) in re 15.715 * [taylor]: Taking taylor expansion of (pow (hypot re im) 3) in re 15.715 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.715 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.715 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.715 * [taylor]: Taking taylor expansion of (* re re) in re 15.715 * [taylor]: Taking taylor expansion of re in re 15.715 * [backup-simplify]: Simplify 0 into 0 15.715 * [backup-simplify]: Simplify 1 into 1 15.715 * [taylor]: Taking taylor expansion of re in re 15.715 * [backup-simplify]: Simplify 0 into 0 15.715 * [backup-simplify]: Simplify 1 into 1 15.715 * [taylor]: Taking taylor expansion of (* im im) in re 15.715 * [taylor]: Taking taylor expansion of im in re 15.715 * [backup-simplify]: Simplify im into im 15.716 * [taylor]: Taking taylor expansion of im in re 15.716 * [backup-simplify]: Simplify im into im 15.716 * [backup-simplify]: Simplify (* 0 0) into 0 15.716 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.716 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.716 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.717 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.717 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.717 * [backup-simplify]: Simplify (+ 0 0) into 0 15.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.717 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.717 * [backup-simplify]: Simplify (* im (pow im 2)) into (pow im 3) 15.717 * [backup-simplify]: Simplify (log (pow im 3)) into (log (pow im 3)) 15.718 * [backup-simplify]: Simplify (* 1/4 (log (pow im 3))) into (* 1/4 (log (pow im 3))) 15.718 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 3)))) into (pow (pow im 3) 1/4) 15.718 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 3) 1/4) in re 15.718 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot re im) 3)))) in re 15.718 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot re im) 3))) in re 15.718 * [taylor]: Taking taylor expansion of 1/4 in re 15.718 * [backup-simplify]: Simplify 1/4 into 1/4 15.718 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 3)) in re 15.718 * [taylor]: Taking taylor expansion of (pow (hypot re im) 3) in re 15.718 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.718 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.718 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.718 * [taylor]: Taking taylor expansion of (* re re) in re 15.718 * [taylor]: Taking taylor expansion of re in re 15.718 * [backup-simplify]: Simplify 0 into 0 15.718 * [backup-simplify]: Simplify 1 into 1 15.718 * [taylor]: Taking taylor expansion of re in re 15.718 * [backup-simplify]: Simplify 0 into 0 15.718 * [backup-simplify]: Simplify 1 into 1 15.718 * [taylor]: Taking taylor expansion of (* im im) in re 15.718 * [taylor]: Taking taylor expansion of im in re 15.718 * [backup-simplify]: Simplify im into im 15.718 * [taylor]: Taking taylor expansion of im in re 15.718 * [backup-simplify]: Simplify im into im 15.719 * [backup-simplify]: Simplify (* 0 0) into 0 15.719 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.719 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.719 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.720 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.720 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.720 * [backup-simplify]: Simplify (+ 0 0) into 0 15.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.720 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.720 * [backup-simplify]: Simplify (* im (pow im 2)) into (pow im 3) 15.720 * [backup-simplify]: Simplify (log (pow im 3)) into (log (pow im 3)) 15.720 * [backup-simplify]: Simplify (* 1/4 (log (pow im 3))) into (* 1/4 (log (pow im 3))) 15.720 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 3)))) into (pow (pow im 3) 1/4) 15.720 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im 15.720 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im 15.721 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im 15.721 * [taylor]: Taking taylor expansion of 1/4 in im 15.721 * [backup-simplify]: Simplify 1/4 into 1/4 15.721 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im 15.721 * [taylor]: Taking taylor expansion of (pow im 3) in im 15.721 * [taylor]: Taking taylor expansion of im in im 15.721 * [backup-simplify]: Simplify 0 into 0 15.721 * [backup-simplify]: Simplify 1 into 1 15.721 * [backup-simplify]: Simplify (* 1 1) into 1 15.721 * [backup-simplify]: Simplify (* 1 1) into 1 15.721 * [backup-simplify]: Simplify (log 1) into 0 15.722 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 15.722 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im)) 15.722 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4) 15.722 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4) 15.722 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.722 * [backup-simplify]: Simplify (+ (* im 0) (* 0 (pow im 2))) into 0 15.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 3) 1)))) 1) into 0 15.723 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow im 3)))) into 0 15.723 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.723 * [taylor]: Taking taylor expansion of 0 in im 15.723 * [backup-simplify]: Simplify 0 into 0 15.723 * [backup-simplify]: Simplify 0 into 0 15.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.725 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 15.726 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0 15.726 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.726 * [backup-simplify]: Simplify 0 into 0 15.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.727 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.727 * [backup-simplify]: Simplify (+ 1 0) into 1 15.728 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.728 * [backup-simplify]: Simplify (+ (* im (/ 1/2 im)) (+ (* 0 0) (* (/ 1/2 im) im))) into 1 15.729 * [backup-simplify]: Simplify (+ (* im 1) (+ (* 0 0) (* (/ 1/2 im) (pow im 2)))) into (* 3/2 im) 15.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* 3/2 im)) 1)) (pow (pow im 3) 1)))) 2) into (/ 3/2 (pow im 2)) 15.730 * [backup-simplify]: Simplify (+ (* 1/4 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 3))))) into (* 3/8 (/ 1 (pow im 2))) 15.730 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 15.730 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im 15.730 * [taylor]: Taking taylor expansion of 3/8 in im 15.730 * [backup-simplify]: Simplify 3/8 into 3/8 15.730 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im 15.730 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im 15.730 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im 15.730 * [taylor]: Taking taylor expansion of 1/4 in im 15.730 * [backup-simplify]: Simplify 1/4 into 1/4 15.730 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 15.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 15.730 * [taylor]: Taking taylor expansion of (pow im 5) in im 15.730 * [taylor]: Taking taylor expansion of im in im 15.730 * [backup-simplify]: Simplify 0 into 0 15.730 * [backup-simplify]: Simplify 1 into 1 15.731 * [backup-simplify]: Simplify (* 1 1) into 1 15.731 * [backup-simplify]: Simplify (* 1 1) into 1 15.731 * [backup-simplify]: Simplify (* 1 1) into 1 15.731 * [backup-simplify]: Simplify (/ 1 1) into 1 15.732 * [backup-simplify]: Simplify (log 1) into 0 15.732 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 15.732 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im)) 15.732 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4) 15.732 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 15.732 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 15.732 * [backup-simplify]: Simplify 0 into 0 15.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.735 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.735 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 15.736 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0 15.737 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.737 * [backup-simplify]: Simplify 0 into 0 15.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.739 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.739 * [backup-simplify]: Simplify (+ 0 0) into 0 15.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.739 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 (/ 1/2 im)) (+ (* (/ 1/2 im) 0) (* 0 im)))) into 0 15.740 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 1) (+ (* (/ 1/2 im) 0) (* 0 (pow im 2))))) into 0 15.741 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 3/2 im)) 1)) (pow (pow im 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 3) 1)))) 6) into 0 15.742 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 3)))))) into 0 15.743 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.743 * [taylor]: Taking taylor expansion of 0 in im 15.743 * [backup-simplify]: Simplify 0 into 0 15.743 * [backup-simplify]: Simplify 0 into 0 15.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.746 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 15.747 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0 15.747 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.748 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0 15.748 * [backup-simplify]: Simplify 0 into 0 15.748 * [backup-simplify]: Simplify 0 into 0 15.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.754 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.755 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 15.756 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0 15.757 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.757 * [backup-simplify]: Simplify 0 into 0 15.757 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) 15.757 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) 15.757 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) in (re im) around 0 15.757 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) in im 15.757 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3)))) in im 15.757 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3))) in im 15.757 * [taylor]: Taking taylor expansion of 1/4 in im 15.757 * [backup-simplify]: Simplify 1/4 into 1/4 15.757 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 3)) in im 15.757 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 3) in im 15.757 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.757 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.757 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.757 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.757 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.757 * [taylor]: Taking taylor expansion of re in im 15.757 * [backup-simplify]: Simplify re into re 15.757 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.757 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.758 * [taylor]: Taking taylor expansion of re in im 15.758 * [backup-simplify]: Simplify re into re 15.758 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.758 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.758 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.758 * [taylor]: Taking taylor expansion of im in im 15.758 * [backup-simplify]: Simplify 0 into 0 15.758 * [backup-simplify]: Simplify 1 into 1 15.758 * [backup-simplify]: Simplify (/ 1 1) into 1 15.758 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.758 * [taylor]: Taking taylor expansion of im in im 15.758 * [backup-simplify]: Simplify 0 into 0 15.758 * [backup-simplify]: Simplify 1 into 1 15.758 * [backup-simplify]: Simplify (/ 1 1) into 1 15.758 * [backup-simplify]: Simplify (* 1 1) into 1 15.759 * [backup-simplify]: Simplify (+ 0 1) into 1 15.759 * [backup-simplify]: Simplify (sqrt 1) into 1 15.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.761 * [backup-simplify]: Simplify (+ 0 0) into 0 15.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.761 * [backup-simplify]: Simplify (* 1 1) into 1 15.761 * [backup-simplify]: Simplify (* 1 1) into 1 15.762 * [backup-simplify]: Simplify (log 1) into 0 15.762 * [backup-simplify]: Simplify (+ (* (- 3) (log im)) 0) into (- (* 3 (log im))) 15.762 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log im)))) into (* -3/4 (log im)) 15.762 * [backup-simplify]: Simplify (exp (* -3/4 (log im))) into (pow im -3/4) 15.762 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) in re 15.762 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3)))) in re 15.762 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3))) in re 15.762 * [taylor]: Taking taylor expansion of 1/4 in re 15.762 * [backup-simplify]: Simplify 1/4 into 1/4 15.762 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 3)) in re 15.762 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 3) in re 15.762 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.762 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.762 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.762 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.762 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.762 * [taylor]: Taking taylor expansion of re in re 15.762 * [backup-simplify]: Simplify 0 into 0 15.762 * [backup-simplify]: Simplify 1 into 1 15.763 * [backup-simplify]: Simplify (/ 1 1) into 1 15.763 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.763 * [taylor]: Taking taylor expansion of re in re 15.763 * [backup-simplify]: Simplify 0 into 0 15.763 * [backup-simplify]: Simplify 1 into 1 15.763 * [backup-simplify]: Simplify (/ 1 1) into 1 15.763 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.763 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.763 * [taylor]: Taking taylor expansion of im in re 15.763 * [backup-simplify]: Simplify im into im 15.763 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.763 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.763 * [taylor]: Taking taylor expansion of im in re 15.763 * [backup-simplify]: Simplify im into im 15.763 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.763 * [backup-simplify]: Simplify (* 1 1) into 1 15.764 * [backup-simplify]: Simplify (+ 1 0) into 1 15.764 * [backup-simplify]: Simplify (sqrt 1) into 1 15.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.766 * [backup-simplify]: Simplify (+ 0 0) into 0 15.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.768 * [backup-simplify]: Simplify (* 1 1) into 1 15.768 * [backup-simplify]: Simplify (* 1 1) into 1 15.768 * [backup-simplify]: Simplify (log 1) into 0 15.769 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 15.769 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log re)))) into (* -3/4 (log re)) 15.769 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 15.769 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) in re 15.769 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3)))) in re 15.769 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3))) in re 15.769 * [taylor]: Taking taylor expansion of 1/4 in re 15.769 * [backup-simplify]: Simplify 1/4 into 1/4 15.769 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 3)) in re 15.769 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 3) in re 15.769 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.769 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.769 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.769 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.769 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.769 * [taylor]: Taking taylor expansion of re in re 15.769 * [backup-simplify]: Simplify 0 into 0 15.769 * [backup-simplify]: Simplify 1 into 1 15.770 * [backup-simplify]: Simplify (/ 1 1) into 1 15.770 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.770 * [taylor]: Taking taylor expansion of re in re 15.770 * [backup-simplify]: Simplify 0 into 0 15.770 * [backup-simplify]: Simplify 1 into 1 15.770 * [backup-simplify]: Simplify (/ 1 1) into 1 15.771 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.771 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.771 * [taylor]: Taking taylor expansion of im in re 15.771 * [backup-simplify]: Simplify im into im 15.771 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.771 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.771 * [taylor]: Taking taylor expansion of im in re 15.771 * [backup-simplify]: Simplify im into im 15.771 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.771 * [backup-simplify]: Simplify (* 1 1) into 1 15.772 * [backup-simplify]: Simplify (+ 1 0) into 1 15.772 * [backup-simplify]: Simplify (sqrt 1) into 1 15.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.775 * [backup-simplify]: Simplify (+ 0 0) into 0 15.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.776 * [backup-simplify]: Simplify (* 1 1) into 1 15.776 * [backup-simplify]: Simplify (* 1 1) into 1 15.777 * [backup-simplify]: Simplify (log 1) into 0 15.777 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 15.777 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log re)))) into (* -3/4 (log re)) 15.777 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 15.777 * [taylor]: Taking taylor expansion of (pow re -3/4) in im 15.777 * [taylor]: Taking taylor expansion of (exp (* -3/4 (log re))) in im 15.777 * [taylor]: Taking taylor expansion of (* -3/4 (log re)) in im 15.777 * [taylor]: Taking taylor expansion of -3/4 in im 15.777 * [backup-simplify]: Simplify -3/4 into -3/4 15.777 * [taylor]: Taking taylor expansion of (log re) in im 15.777 * [taylor]: Taking taylor expansion of re in im 15.778 * [backup-simplify]: Simplify re into re 15.778 * [backup-simplify]: Simplify (log re) into (log re) 15.778 * [backup-simplify]: Simplify (* -3/4 (log re)) into (* -3/4 (log re)) 15.778 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 15.778 * [backup-simplify]: Simplify (pow re -3/4) into (pow re -3/4) 15.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.781 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 15.782 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log re))))) into 0 15.782 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.782 * [taylor]: Taking taylor expansion of 0 in im 15.783 * [backup-simplify]: Simplify 0 into 0 15.783 * [backup-simplify]: Simplify 0 into 0 15.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.784 * [backup-simplify]: Simplify (+ (* -3/4 0) (* 0 (log re))) into 0 15.785 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.785 * [backup-simplify]: Simplify 0 into 0 15.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.788 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.788 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.789 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.790 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2)) 15.791 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 3/2 (/ 1 (pow im 2))) 15.793 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 3/2 (/ 1 (pow im 2)))) 1)) (pow 1 1)))) 2) into (/ 3/2 (pow im 2)) 15.793 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 15.794 * [backup-simplify]: Simplify (+ (* 1/4 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (- (* 3 (log re)))))) into (* 3/8 (/ 1 (pow im 2))) 15.795 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 15.795 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 15.795 * [taylor]: Taking taylor expansion of 3/8 in im 15.795 * [backup-simplify]: Simplify 3/8 into 3/8 15.795 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 15.795 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 15.795 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 15.795 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 15.795 * [taylor]: Taking taylor expansion of 1/4 in im 15.795 * [backup-simplify]: Simplify 1/4 into 1/4 15.795 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 15.795 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 15.795 * [taylor]: Taking taylor expansion of (pow re 3) in im 15.795 * [taylor]: Taking taylor expansion of re in im 15.795 * [backup-simplify]: Simplify re into re 15.795 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.796 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 15.796 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 15.796 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 15.796 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 15.796 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 15.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.796 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.796 * [taylor]: Taking taylor expansion of im in im 15.796 * [backup-simplify]: Simplify 0 into 0 15.796 * [backup-simplify]: Simplify 1 into 1 15.797 * [backup-simplify]: Simplify (* 1 1) into 1 15.797 * [backup-simplify]: Simplify (/ 1 1) into 1 15.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.801 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.801 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 15.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 15.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 15.803 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 15.804 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.805 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 15.805 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 15.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 15.807 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 15.808 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 15.809 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.810 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 15.810 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 15.810 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 15.811 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 15.811 * [backup-simplify]: Simplify 0 into 0 15.811 * [backup-simplify]: Simplify 0 into 0 15.812 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.812 * [backup-simplify]: Simplify (+ (* -3/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 15.813 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.813 * [backup-simplify]: Simplify 0 into 0 15.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.815 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.816 * [backup-simplify]: Simplify (+ 0 0) into 0 15.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 15.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 15.819 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 3/2 (/ 1 (pow im 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.820 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 15.820 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (- (* 3 (log re))))))) into 0 15.822 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.822 * [taylor]: Taking taylor expansion of 0 in im 15.822 * [backup-simplify]: Simplify 0 into 0 15.822 * [backup-simplify]: Simplify 0 into 0 15.822 * [backup-simplify]: Simplify (pow (/ 1 re) -3/4) into (pow (/ 1 re) -3/4) 15.822 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) 15.822 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) in (re im) around 0 15.822 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) in im 15.822 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3)))) in im 15.822 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3))) in im 15.822 * [taylor]: Taking taylor expansion of 1/4 in im 15.822 * [backup-simplify]: Simplify 1/4 into 1/4 15.822 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 3)) in im 15.822 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 3) in im 15.822 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.822 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.822 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.822 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.822 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.822 * [taylor]: Taking taylor expansion of -1 in im 15.822 * [backup-simplify]: Simplify -1 into -1 15.822 * [taylor]: Taking taylor expansion of re in im 15.822 * [backup-simplify]: Simplify re into re 15.822 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.822 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.822 * [taylor]: Taking taylor expansion of -1 in im 15.822 * [backup-simplify]: Simplify -1 into -1 15.822 * [taylor]: Taking taylor expansion of re in im 15.822 * [backup-simplify]: Simplify re into re 15.822 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.822 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.822 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.822 * [taylor]: Taking taylor expansion of -1 in im 15.822 * [backup-simplify]: Simplify -1 into -1 15.822 * [taylor]: Taking taylor expansion of im in im 15.822 * [backup-simplify]: Simplify 0 into 0 15.822 * [backup-simplify]: Simplify 1 into 1 15.823 * [backup-simplify]: Simplify (/ -1 1) into -1 15.823 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.823 * [taylor]: Taking taylor expansion of -1 in im 15.823 * [backup-simplify]: Simplify -1 into -1 15.823 * [taylor]: Taking taylor expansion of im in im 15.823 * [backup-simplify]: Simplify 0 into 0 15.823 * [backup-simplify]: Simplify 1 into 1 15.823 * [backup-simplify]: Simplify (/ -1 1) into -1 15.823 * [backup-simplify]: Simplify (* -1 -1) into 1 15.824 * [backup-simplify]: Simplify (+ 0 1) into 1 15.824 * [backup-simplify]: Simplify (sqrt 1) into 1 15.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.825 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.826 * [backup-simplify]: Simplify (+ 0 0) into 0 15.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.826 * [backup-simplify]: Simplify (* 1 1) into 1 15.826 * [backup-simplify]: Simplify (* 1 1) into 1 15.827 * [backup-simplify]: Simplify (log 1) into 0 15.827 * [backup-simplify]: Simplify (+ (* (- 3) (log im)) 0) into (- (* 3 (log im))) 15.827 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log im)))) into (* -3/4 (log im)) 15.827 * [backup-simplify]: Simplify (exp (* -3/4 (log im))) into (pow im -3/4) 15.827 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) in re 15.827 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3)))) in re 15.827 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3))) in re 15.827 * [taylor]: Taking taylor expansion of 1/4 in re 15.827 * [backup-simplify]: Simplify 1/4 into 1/4 15.827 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 3)) in re 15.827 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 3) in re 15.827 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.827 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.827 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.827 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.827 * [taylor]: Taking taylor expansion of -1 in re 15.827 * [backup-simplify]: Simplify -1 into -1 15.827 * [taylor]: Taking taylor expansion of re in re 15.827 * [backup-simplify]: Simplify 0 into 0 15.827 * [backup-simplify]: Simplify 1 into 1 15.828 * [backup-simplify]: Simplify (/ -1 1) into -1 15.828 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.828 * [taylor]: Taking taylor expansion of -1 in re 15.828 * [backup-simplify]: Simplify -1 into -1 15.828 * [taylor]: Taking taylor expansion of re in re 15.828 * [backup-simplify]: Simplify 0 into 0 15.828 * [backup-simplify]: Simplify 1 into 1 15.828 * [backup-simplify]: Simplify (/ -1 1) into -1 15.828 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.828 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.828 * [taylor]: Taking taylor expansion of -1 in re 15.828 * [backup-simplify]: Simplify -1 into -1 15.828 * [taylor]: Taking taylor expansion of im in re 15.828 * [backup-simplify]: Simplify im into im 15.828 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.828 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.828 * [taylor]: Taking taylor expansion of -1 in re 15.828 * [backup-simplify]: Simplify -1 into -1 15.828 * [taylor]: Taking taylor expansion of im in re 15.828 * [backup-simplify]: Simplify im into im 15.828 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.829 * [backup-simplify]: Simplify (* -1 -1) into 1 15.829 * [backup-simplify]: Simplify (+ 1 0) into 1 15.829 * [backup-simplify]: Simplify (sqrt 1) into 1 15.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.831 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.831 * [backup-simplify]: Simplify (+ 0 0) into 0 15.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.832 * [backup-simplify]: Simplify (* 1 1) into 1 15.832 * [backup-simplify]: Simplify (* 1 1) into 1 15.832 * [backup-simplify]: Simplify (log 1) into 0 15.832 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 15.832 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log re)))) into (* -3/4 (log re)) 15.833 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 15.833 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) in re 15.833 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3)))) in re 15.833 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3))) in re 15.833 * [taylor]: Taking taylor expansion of 1/4 in re 15.833 * [backup-simplify]: Simplify 1/4 into 1/4 15.833 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 3)) in re 15.833 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 3) in re 15.833 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.833 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.833 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.833 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.833 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.833 * [taylor]: Taking taylor expansion of -1 in re 15.833 * [backup-simplify]: Simplify -1 into -1 15.833 * [taylor]: Taking taylor expansion of re in re 15.833 * [backup-simplify]: Simplify 0 into 0 15.833 * [backup-simplify]: Simplify 1 into 1 15.833 * [backup-simplify]: Simplify (/ -1 1) into -1 15.833 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.833 * [taylor]: Taking taylor expansion of -1 in re 15.833 * [backup-simplify]: Simplify -1 into -1 15.833 * [taylor]: Taking taylor expansion of re in re 15.833 * [backup-simplify]: Simplify 0 into 0 15.833 * [backup-simplify]: Simplify 1 into 1 15.834 * [backup-simplify]: Simplify (/ -1 1) into -1 15.834 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.834 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.834 * [taylor]: Taking taylor expansion of -1 in re 15.834 * [backup-simplify]: Simplify -1 into -1 15.834 * [taylor]: Taking taylor expansion of im in re 15.834 * [backup-simplify]: Simplify im into im 15.834 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.834 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.834 * [taylor]: Taking taylor expansion of -1 in re 15.834 * [backup-simplify]: Simplify -1 into -1 15.834 * [taylor]: Taking taylor expansion of im in re 15.834 * [backup-simplify]: Simplify im into im 15.834 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.834 * [backup-simplify]: Simplify (* -1 -1) into 1 15.834 * [backup-simplify]: Simplify (+ 1 0) into 1 15.835 * [backup-simplify]: Simplify (sqrt 1) into 1 15.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.836 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.836 * [backup-simplify]: Simplify (+ 0 0) into 0 15.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.837 * [backup-simplify]: Simplify (* 1 1) into 1 15.837 * [backup-simplify]: Simplify (* 1 1) into 1 15.838 * [backup-simplify]: Simplify (log 1) into 0 15.838 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 15.838 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log re)))) into (* -3/4 (log re)) 15.838 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 15.838 * [taylor]: Taking taylor expansion of (pow re -3/4) in im 15.838 * [taylor]: Taking taylor expansion of (exp (* -3/4 (log re))) in im 15.838 * [taylor]: Taking taylor expansion of (* -3/4 (log re)) in im 15.838 * [taylor]: Taking taylor expansion of -3/4 in im 15.838 * [backup-simplify]: Simplify -3/4 into -3/4 15.838 * [taylor]: Taking taylor expansion of (log re) in im 15.838 * [taylor]: Taking taylor expansion of re in im 15.838 * [backup-simplify]: Simplify re into re 15.838 * [backup-simplify]: Simplify (log re) into (log re) 15.838 * [backup-simplify]: Simplify (* -3/4 (log re)) into (* -3/4 (log re)) 15.838 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 15.838 * [backup-simplify]: Simplify (pow re -3/4) into (pow re -3/4) 15.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.840 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.840 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 15.841 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log re))))) into 0 15.841 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.841 * [taylor]: Taking taylor expansion of 0 in im 15.841 * [backup-simplify]: Simplify 0 into 0 15.841 * [backup-simplify]: Simplify 0 into 0 15.842 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.842 * [backup-simplify]: Simplify (+ (* -3/4 0) (* 0 (log re))) into 0 15.843 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.843 * [backup-simplify]: Simplify 0 into 0 15.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.845 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.845 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.845 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.846 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.847 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2)) 15.847 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 3/2 (/ 1 (pow im 2))) 15.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 3/2 (/ 1 (pow im 2)))) 1)) (pow 1 1)))) 2) into (/ 3/2 (pow im 2)) 15.849 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 15.850 * [backup-simplify]: Simplify (+ (* 1/4 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (- (* 3 (log re)))))) into (* 3/8 (/ 1 (pow im 2))) 15.851 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 15.851 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 15.851 * [taylor]: Taking taylor expansion of 3/8 in im 15.851 * [backup-simplify]: Simplify 3/8 into 3/8 15.851 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 15.851 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 15.851 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 15.851 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 15.851 * [taylor]: Taking taylor expansion of 1/4 in im 15.851 * [backup-simplify]: Simplify 1/4 into 1/4 15.851 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 15.851 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 15.851 * [taylor]: Taking taylor expansion of (pow re 3) in im 15.851 * [taylor]: Taking taylor expansion of re in im 15.851 * [backup-simplify]: Simplify re into re 15.851 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.851 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 15.851 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 15.852 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 15.852 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 15.852 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 15.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.852 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.852 * [taylor]: Taking taylor expansion of im in im 15.852 * [backup-simplify]: Simplify 0 into 0 15.852 * [backup-simplify]: Simplify 1 into 1 15.852 * [backup-simplify]: Simplify (* 1 1) into 1 15.853 * [backup-simplify]: Simplify (/ 1 1) into 1 15.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.856 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.856 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 15.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 15.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 15.858 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 15.859 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.859 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 15.859 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 15.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 15.861 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 15.862 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 15.864 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.864 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 15.865 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 15.865 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 15.866 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 15.866 * [backup-simplify]: Simplify 0 into 0 15.866 * [backup-simplify]: Simplify 0 into 0 15.870 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.870 * [backup-simplify]: Simplify (+ (* -3/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 15.872 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.872 * [backup-simplify]: Simplify 0 into 0 15.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.874 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.874 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.874 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.874 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 15.874 * [backup-simplify]: Simplify (+ 0 0) into 0 15.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 15.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 15.878 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 3/2 (/ 1 (pow im 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.879 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 15.880 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (- (* 3 (log re))))))) into 0 15.881 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.881 * [taylor]: Taking taylor expansion of 0 in im 15.881 * [backup-simplify]: Simplify 0 into 0 15.881 * [backup-simplify]: Simplify 0 into 0 15.881 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -3/4) into (pow (/ -1 re) -3/4) 15.881 * * * * [progress]: [ 2 / 4 ] generating series at (2) 15.881 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) into (hypot re im) 15.881 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 15.881 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.882 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.882 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.882 * [taylor]: Taking taylor expansion of (* re re) in im 15.882 * [taylor]: Taking taylor expansion of re in im 15.882 * [backup-simplify]: Simplify re into re 15.882 * [taylor]: Taking taylor expansion of re in im 15.882 * [backup-simplify]: Simplify re into re 15.882 * [taylor]: Taking taylor expansion of (* im im) in im 15.882 * [taylor]: Taking taylor expansion of im in im 15.882 * [backup-simplify]: Simplify 0 into 0 15.882 * [backup-simplify]: Simplify 1 into 1 15.882 * [taylor]: Taking taylor expansion of im in im 15.882 * [backup-simplify]: Simplify 0 into 0 15.882 * [backup-simplify]: Simplify 1 into 1 15.882 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.882 * [backup-simplify]: Simplify (* 0 0) into 0 15.882 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.882 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.882 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.883 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.883 * [backup-simplify]: Simplify (+ 0 0) into 0 15.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.883 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.883 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.883 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.883 * [taylor]: Taking taylor expansion of (* re re) in re 15.883 * [taylor]: Taking taylor expansion of re in re 15.883 * [backup-simplify]: Simplify 0 into 0 15.883 * [backup-simplify]: Simplify 1 into 1 15.883 * [taylor]: Taking taylor expansion of re in re 15.883 * [backup-simplify]: Simplify 0 into 0 15.883 * [backup-simplify]: Simplify 1 into 1 15.883 * [taylor]: Taking taylor expansion of (* im im) in re 15.883 * [taylor]: Taking taylor expansion of im in re 15.883 * [backup-simplify]: Simplify im into im 15.883 * [taylor]: Taking taylor expansion of im in re 15.883 * [backup-simplify]: Simplify im into im 15.883 * [backup-simplify]: Simplify (* 0 0) into 0 15.884 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.884 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.884 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.884 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.884 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.884 * [backup-simplify]: Simplify (+ 0 0) into 0 15.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.885 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.885 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.885 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.885 * [taylor]: Taking taylor expansion of (* re re) in re 15.885 * [taylor]: Taking taylor expansion of re in re 15.885 * [backup-simplify]: Simplify 0 into 0 15.885 * [backup-simplify]: Simplify 1 into 1 15.885 * [taylor]: Taking taylor expansion of re in re 15.885 * [backup-simplify]: Simplify 0 into 0 15.885 * [backup-simplify]: Simplify 1 into 1 15.885 * [taylor]: Taking taylor expansion of (* im im) in re 15.885 * [taylor]: Taking taylor expansion of im in re 15.885 * [backup-simplify]: Simplify im into im 15.885 * [taylor]: Taking taylor expansion of im in re 15.885 * [backup-simplify]: Simplify im into im 15.885 * [backup-simplify]: Simplify (* 0 0) into 0 15.885 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.885 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.885 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.886 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.886 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.886 * [backup-simplify]: Simplify (+ 0 0) into 0 15.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.886 * [taylor]: Taking taylor expansion of im in im 15.886 * [backup-simplify]: Simplify 0 into 0 15.886 * [backup-simplify]: Simplify 1 into 1 15.886 * [backup-simplify]: Simplify 0 into 0 15.886 * [taylor]: Taking taylor expansion of 0 in im 15.886 * [backup-simplify]: Simplify 0 into 0 15.886 * [backup-simplify]: Simplify 0 into 0 15.886 * [backup-simplify]: Simplify 1 into 1 15.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.887 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.887 * [backup-simplify]: Simplify (+ 1 0) into 1 15.888 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.888 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 15.888 * [taylor]: Taking taylor expansion of 1/2 in im 15.888 * [backup-simplify]: Simplify 1/2 into 1/2 15.888 * [taylor]: Taking taylor expansion of im in im 15.888 * [backup-simplify]: Simplify 0 into 0 15.888 * [backup-simplify]: Simplify 1 into 1 15.888 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.889 * [backup-simplify]: Simplify 0 into 0 15.889 * [backup-simplify]: Simplify 0 into 0 15.889 * [backup-simplify]: Simplify 0 into 0 15.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.890 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.890 * [backup-simplify]: Simplify (+ 0 0) into 0 15.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.890 * [taylor]: Taking taylor expansion of 0 in im 15.890 * [backup-simplify]: Simplify 0 into 0 15.890 * [backup-simplify]: Simplify 0 into 0 15.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.891 * [backup-simplify]: Simplify 0 into 0 15.891 * [backup-simplify]: Simplify 0 into 0 15.891 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 15.891 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (hypot (/ 1 re) (/ 1 im))))) into (hypot (/ 1 re) (/ 1 im)) 15.891 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 15.891 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.892 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.892 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.892 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.892 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.892 * [taylor]: Taking taylor expansion of re in im 15.892 * [backup-simplify]: Simplify re into re 15.892 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.892 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.892 * [taylor]: Taking taylor expansion of re in im 15.892 * [backup-simplify]: Simplify re into re 15.892 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.892 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.892 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.892 * [taylor]: Taking taylor expansion of im in im 15.892 * [backup-simplify]: Simplify 0 into 0 15.892 * [backup-simplify]: Simplify 1 into 1 15.892 * [backup-simplify]: Simplify (/ 1 1) into 1 15.892 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.892 * [taylor]: Taking taylor expansion of im in im 15.892 * [backup-simplify]: Simplify 0 into 0 15.892 * [backup-simplify]: Simplify 1 into 1 15.892 * [backup-simplify]: Simplify (/ 1 1) into 1 15.893 * [backup-simplify]: Simplify (* 1 1) into 1 15.893 * [backup-simplify]: Simplify (+ 0 1) into 1 15.893 * [backup-simplify]: Simplify (sqrt 1) into 1 15.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.895 * [backup-simplify]: Simplify (+ 0 0) into 0 15.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.895 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.895 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.895 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.895 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.895 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.895 * [taylor]: Taking taylor expansion of re in re 15.895 * [backup-simplify]: Simplify 0 into 0 15.895 * [backup-simplify]: Simplify 1 into 1 15.896 * [backup-simplify]: Simplify (/ 1 1) into 1 15.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.896 * [taylor]: Taking taylor expansion of re in re 15.896 * [backup-simplify]: Simplify 0 into 0 15.896 * [backup-simplify]: Simplify 1 into 1 15.896 * [backup-simplify]: Simplify (/ 1 1) into 1 15.896 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.896 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.896 * [taylor]: Taking taylor expansion of im in re 15.896 * [backup-simplify]: Simplify im into im 15.896 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.896 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.896 * [taylor]: Taking taylor expansion of im in re 15.896 * [backup-simplify]: Simplify im into im 15.896 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.896 * [backup-simplify]: Simplify (* 1 1) into 1 15.897 * [backup-simplify]: Simplify (+ 1 0) into 1 15.897 * [backup-simplify]: Simplify (sqrt 1) into 1 15.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.898 * [backup-simplify]: Simplify (+ 0 0) into 0 15.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.899 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.899 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.899 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.899 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.899 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.899 * [taylor]: Taking taylor expansion of re in re 15.899 * [backup-simplify]: Simplify 0 into 0 15.899 * [backup-simplify]: Simplify 1 into 1 15.899 * [backup-simplify]: Simplify (/ 1 1) into 1 15.899 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.899 * [taylor]: Taking taylor expansion of re in re 15.899 * [backup-simplify]: Simplify 0 into 0 15.899 * [backup-simplify]: Simplify 1 into 1 15.900 * [backup-simplify]: Simplify (/ 1 1) into 1 15.900 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.900 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.900 * [taylor]: Taking taylor expansion of im in re 15.900 * [backup-simplify]: Simplify im into im 15.900 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.900 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.900 * [taylor]: Taking taylor expansion of im in re 15.900 * [backup-simplify]: Simplify im into im 15.900 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.900 * [backup-simplify]: Simplify (* 1 1) into 1 15.900 * [backup-simplify]: Simplify (+ 1 0) into 1 15.901 * [backup-simplify]: Simplify (sqrt 1) into 1 15.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.902 * [backup-simplify]: Simplify (+ 0 0) into 0 15.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.903 * [taylor]: Taking taylor expansion of 1 in im 15.903 * [backup-simplify]: Simplify 1 into 1 15.903 * [taylor]: Taking taylor expansion of 0 in im 15.903 * [backup-simplify]: Simplify 0 into 0 15.903 * [backup-simplify]: Simplify 1 into 1 15.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.904 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.905 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.905 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.905 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 15.905 * [taylor]: Taking taylor expansion of 1/2 in im 15.905 * [backup-simplify]: Simplify 1/2 into 1/2 15.905 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.905 * [taylor]: Taking taylor expansion of im in im 15.905 * [backup-simplify]: Simplify 0 into 0 15.905 * [backup-simplify]: Simplify 1 into 1 15.906 * [backup-simplify]: Simplify (* 1 1) into 1 15.906 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.907 * [backup-simplify]: Simplify 0 into 0 15.907 * [backup-simplify]: Simplify 0 into 0 15.907 * [backup-simplify]: Simplify 0 into 0 15.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.909 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.910 * [backup-simplify]: Simplify (+ 0 0) into 0 15.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.910 * [taylor]: Taking taylor expansion of 0 in im 15.910 * [backup-simplify]: Simplify 0 into 0 15.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.911 * [backup-simplify]: Simplify 0 into 0 15.911 * [backup-simplify]: Simplify 0 into 0 15.911 * [backup-simplify]: Simplify 0 into 0 15.911 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 15.912 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (hypot (/ -1 re) (/ -1 im)) 15.912 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 15.912 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.912 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.912 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.912 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.912 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.912 * [taylor]: Taking taylor expansion of -1 in im 15.912 * [backup-simplify]: Simplify -1 into -1 15.912 * [taylor]: Taking taylor expansion of re in im 15.912 * [backup-simplify]: Simplify re into re 15.912 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.912 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.912 * [taylor]: Taking taylor expansion of -1 in im 15.912 * [backup-simplify]: Simplify -1 into -1 15.912 * [taylor]: Taking taylor expansion of re in im 15.912 * [backup-simplify]: Simplify re into re 15.912 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.912 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.912 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.912 * [taylor]: Taking taylor expansion of -1 in im 15.912 * [backup-simplify]: Simplify -1 into -1 15.912 * [taylor]: Taking taylor expansion of im in im 15.912 * [backup-simplify]: Simplify 0 into 0 15.912 * [backup-simplify]: Simplify 1 into 1 15.912 * [backup-simplify]: Simplify (/ -1 1) into -1 15.912 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.912 * [taylor]: Taking taylor expansion of -1 in im 15.912 * [backup-simplify]: Simplify -1 into -1 15.912 * [taylor]: Taking taylor expansion of im in im 15.912 * [backup-simplify]: Simplify 0 into 0 15.912 * [backup-simplify]: Simplify 1 into 1 15.913 * [backup-simplify]: Simplify (/ -1 1) into -1 15.913 * [backup-simplify]: Simplify (* -1 -1) into 1 15.913 * [backup-simplify]: Simplify (+ 0 1) into 1 15.913 * [backup-simplify]: Simplify (sqrt 1) into 1 15.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.915 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.915 * [backup-simplify]: Simplify (+ 0 0) into 0 15.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.915 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.916 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.916 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.916 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.916 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.916 * [taylor]: Taking taylor expansion of -1 in re 15.916 * [backup-simplify]: Simplify -1 into -1 15.916 * [taylor]: Taking taylor expansion of re in re 15.916 * [backup-simplify]: Simplify 0 into 0 15.916 * [backup-simplify]: Simplify 1 into 1 15.916 * [backup-simplify]: Simplify (/ -1 1) into -1 15.916 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.916 * [taylor]: Taking taylor expansion of -1 in re 15.916 * [backup-simplify]: Simplify -1 into -1 15.916 * [taylor]: Taking taylor expansion of re in re 15.916 * [backup-simplify]: Simplify 0 into 0 15.916 * [backup-simplify]: Simplify 1 into 1 15.917 * [backup-simplify]: Simplify (/ -1 1) into -1 15.917 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.917 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.917 * [taylor]: Taking taylor expansion of -1 in re 15.917 * [backup-simplify]: Simplify -1 into -1 15.917 * [taylor]: Taking taylor expansion of im in re 15.917 * [backup-simplify]: Simplify im into im 15.917 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.917 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.917 * [taylor]: Taking taylor expansion of -1 in re 15.917 * [backup-simplify]: Simplify -1 into -1 15.917 * [taylor]: Taking taylor expansion of im in re 15.917 * [backup-simplify]: Simplify im into im 15.917 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.917 * [backup-simplify]: Simplify (* -1 -1) into 1 15.918 * [backup-simplify]: Simplify (+ 1 0) into 1 15.918 * [backup-simplify]: Simplify (sqrt 1) into 1 15.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.920 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.920 * [backup-simplify]: Simplify (+ 0 0) into 0 15.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.921 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.921 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.921 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.921 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.921 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.921 * [taylor]: Taking taylor expansion of -1 in re 15.921 * [backup-simplify]: Simplify -1 into -1 15.921 * [taylor]: Taking taylor expansion of re in re 15.921 * [backup-simplify]: Simplify 0 into 0 15.921 * [backup-simplify]: Simplify 1 into 1 15.921 * [backup-simplify]: Simplify (/ -1 1) into -1 15.921 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.921 * [taylor]: Taking taylor expansion of -1 in re 15.921 * [backup-simplify]: Simplify -1 into -1 15.921 * [taylor]: Taking taylor expansion of re in re 15.921 * [backup-simplify]: Simplify 0 into 0 15.921 * [backup-simplify]: Simplify 1 into 1 15.922 * [backup-simplify]: Simplify (/ -1 1) into -1 15.922 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.922 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.922 * [taylor]: Taking taylor expansion of -1 in re 15.922 * [backup-simplify]: Simplify -1 into -1 15.922 * [taylor]: Taking taylor expansion of im in re 15.922 * [backup-simplify]: Simplify im into im 15.922 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.922 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.922 * [taylor]: Taking taylor expansion of -1 in re 15.922 * [backup-simplify]: Simplify -1 into -1 15.922 * [taylor]: Taking taylor expansion of im in re 15.922 * [backup-simplify]: Simplify im into im 15.922 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.922 * [backup-simplify]: Simplify (* -1 -1) into 1 15.923 * [backup-simplify]: Simplify (+ 1 0) into 1 15.923 * [backup-simplify]: Simplify (sqrt 1) into 1 15.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.925 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.925 * [backup-simplify]: Simplify (+ 0 0) into 0 15.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.925 * [taylor]: Taking taylor expansion of 1 in im 15.925 * [backup-simplify]: Simplify 1 into 1 15.925 * [taylor]: Taking taylor expansion of 0 in im 15.925 * [backup-simplify]: Simplify 0 into 0 15.925 * [backup-simplify]: Simplify 1 into 1 15.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.927 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.928 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.928 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.928 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.929 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 15.929 * [taylor]: Taking taylor expansion of 1/2 in im 15.929 * [backup-simplify]: Simplify 1/2 into 1/2 15.929 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.929 * [taylor]: Taking taylor expansion of im in im 15.929 * [backup-simplify]: Simplify 0 into 0 15.929 * [backup-simplify]: Simplify 1 into 1 15.929 * [backup-simplify]: Simplify (* 1 1) into 1 15.929 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.930 * [backup-simplify]: Simplify 0 into 0 15.930 * [backup-simplify]: Simplify 0 into 0 15.930 * [backup-simplify]: Simplify 0 into 0 15.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.932 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.932 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.932 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.932 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 15.933 * [backup-simplify]: Simplify (+ 0 0) into 0 15.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.933 * [taylor]: Taking taylor expansion of 0 in im 15.933 * [backup-simplify]: Simplify 0 into 0 15.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.935 * [backup-simplify]: Simplify 0 into 0 15.935 * [backup-simplify]: Simplify 0 into 0 15.935 * [backup-simplify]: Simplify 0 into 0 15.935 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 15.935 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 15.935 * [backup-simplify]: Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4) 15.935 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/4) in (re im) around 0 15.936 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im 15.936 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im 15.936 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im 15.936 * [taylor]: Taking taylor expansion of 1/4 in im 15.936 * [backup-simplify]: Simplify 1/4 into 1/4 15.936 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 15.936 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.936 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.936 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.936 * [taylor]: Taking taylor expansion of (* re re) in im 15.936 * [taylor]: Taking taylor expansion of re in im 15.936 * [backup-simplify]: Simplify re into re 15.936 * [taylor]: Taking taylor expansion of re in im 15.936 * [backup-simplify]: Simplify re into re 15.936 * [taylor]: Taking taylor expansion of (* im im) in im 15.936 * [taylor]: Taking taylor expansion of im in im 15.936 * [backup-simplify]: Simplify 0 into 0 15.936 * [backup-simplify]: Simplify 1 into 1 15.936 * [taylor]: Taking taylor expansion of im in im 15.936 * [backup-simplify]: Simplify 0 into 0 15.936 * [backup-simplify]: Simplify 1 into 1 15.936 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.937 * [backup-simplify]: Simplify (* 0 0) into 0 15.937 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.937 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.937 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.937 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.938 * [backup-simplify]: Simplify (+ 0 0) into 0 15.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.938 * [backup-simplify]: Simplify (log re) into (log re) 15.938 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re)) 15.938 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4) 15.938 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 15.938 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 15.938 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 15.938 * [taylor]: Taking taylor expansion of 1/4 in re 15.938 * [backup-simplify]: Simplify 1/4 into 1/4 15.938 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 15.938 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.938 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.938 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.938 * [taylor]: Taking taylor expansion of (* re re) in re 15.938 * [taylor]: Taking taylor expansion of re in re 15.938 * [backup-simplify]: Simplify 0 into 0 15.939 * [backup-simplify]: Simplify 1 into 1 15.939 * [taylor]: Taking taylor expansion of re in re 15.939 * [backup-simplify]: Simplify 0 into 0 15.939 * [backup-simplify]: Simplify 1 into 1 15.939 * [taylor]: Taking taylor expansion of (* im im) in re 15.939 * [taylor]: Taking taylor expansion of im in re 15.939 * [backup-simplify]: Simplify im into im 15.939 * [taylor]: Taking taylor expansion of im in re 15.939 * [backup-simplify]: Simplify im into im 15.939 * [backup-simplify]: Simplify (* 0 0) into 0 15.939 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.939 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.939 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.940 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.940 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.940 * [backup-simplify]: Simplify (+ 0 0) into 0 15.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.941 * [backup-simplify]: Simplify (log im) into (log im) 15.941 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 15.941 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 15.941 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 15.941 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 15.941 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 15.941 * [taylor]: Taking taylor expansion of 1/4 in re 15.941 * [backup-simplify]: Simplify 1/4 into 1/4 15.941 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 15.941 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.941 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.941 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.941 * [taylor]: Taking taylor expansion of (* re re) in re 15.941 * [taylor]: Taking taylor expansion of re in re 15.941 * [backup-simplify]: Simplify 0 into 0 15.941 * [backup-simplify]: Simplify 1 into 1 15.941 * [taylor]: Taking taylor expansion of re in re 15.941 * [backup-simplify]: Simplify 0 into 0 15.941 * [backup-simplify]: Simplify 1 into 1 15.941 * [taylor]: Taking taylor expansion of (* im im) in re 15.941 * [taylor]: Taking taylor expansion of im in re 15.941 * [backup-simplify]: Simplify im into im 15.941 * [taylor]: Taking taylor expansion of im in re 15.941 * [backup-simplify]: Simplify im into im 15.942 * [backup-simplify]: Simplify (* 0 0) into 0 15.942 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.942 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.942 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.942 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.943 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.943 * [backup-simplify]: Simplify (+ 0 0) into 0 15.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.943 * [backup-simplify]: Simplify (log im) into (log im) 15.943 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 15.943 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 15.944 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 15.944 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 15.944 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 15.944 * [taylor]: Taking taylor expansion of 1/4 in im 15.944 * [backup-simplify]: Simplify 1/4 into 1/4 15.944 * [taylor]: Taking taylor expansion of (log im) in im 15.944 * [taylor]: Taking taylor expansion of im in im 15.944 * [backup-simplify]: Simplify 0 into 0 15.944 * [backup-simplify]: Simplify 1 into 1 15.944 * [backup-simplify]: Simplify (log 1) into 0 15.945 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 15.945 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 15.945 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 15.945 * [backup-simplify]: Simplify (pow im 1/4) into (pow im 1/4) 15.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 15.946 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 15.947 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.947 * [taylor]: Taking taylor expansion of 0 in im 15.947 * [backup-simplify]: Simplify 0 into 0 15.947 * [backup-simplify]: Simplify 0 into 0 15.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.949 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 15.950 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 15.950 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.950 * [backup-simplify]: Simplify 0 into 0 15.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.952 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.952 * [backup-simplify]: Simplify (+ 1 0) into 1 15.953 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.954 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 15.955 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2))) 15.956 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 15.956 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) in im 15.956 * [taylor]: Taking taylor expansion of 1/8 in im 15.956 * [backup-simplify]: Simplify 1/8 into 1/8 15.956 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 15.956 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 15.956 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 15.956 * [taylor]: Taking taylor expansion of 1/4 in im 15.956 * [backup-simplify]: Simplify 1/4 into 1/4 15.957 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 15.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 15.957 * [taylor]: Taking taylor expansion of (pow im 7) in im 15.957 * [taylor]: Taking taylor expansion of im in im 15.957 * [backup-simplify]: Simplify 0 into 0 15.957 * [backup-simplify]: Simplify 1 into 1 15.957 * [backup-simplify]: Simplify (* 1 1) into 1 15.957 * [backup-simplify]: Simplify (* 1 1) into 1 15.958 * [backup-simplify]: Simplify (* 1 1) into 1 15.958 * [backup-simplify]: Simplify (* 1 1) into 1 15.959 * [backup-simplify]: Simplify (/ 1 1) into 1 15.959 * [backup-simplify]: Simplify (log 1) into 0 15.960 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 15.960 * [backup-simplify]: Simplify (* 1/4 (- (* 7 (log im)))) into (* -7/4 (log im)) 15.960 * [backup-simplify]: Simplify (exp (* -7/4 (log im))) into (pow im -7/4) 15.960 * [backup-simplify]: Simplify (* 1/8 (pow im -7/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 15.960 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 15.960 * [backup-simplify]: Simplify 0 into 0 15.963 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.964 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 15.965 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log im)))) into 0 15.966 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.966 * [backup-simplify]: Simplify 0 into 0 15.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.969 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.969 * [backup-simplify]: Simplify (+ 0 0) into 0 15.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.972 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 15.973 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 15.975 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.975 * [taylor]: Taking taylor expansion of 0 in im 15.975 * [backup-simplify]: Simplify 0 into 0 15.975 * [backup-simplify]: Simplify 0 into 0 15.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.980 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 15.981 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 7 (log im))))) into 0 15.982 * [backup-simplify]: Simplify (* (exp (* -7/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.984 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (pow im -7/4))) into 0 15.984 * [backup-simplify]: Simplify 0 into 0 15.984 * [backup-simplify]: Simplify 0 into 0 15.990 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.990 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 15.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 15.993 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.993 * [backup-simplify]: Simplify 0 into 0 15.994 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (* 1 re) 2)) (pow im 1/4)) into (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4)) 15.994 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 15.994 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in (re im) around 0 15.994 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im 15.994 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im 15.994 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im 15.994 * [taylor]: Taking taylor expansion of 1/4 in im 15.994 * [backup-simplify]: Simplify 1/4 into 1/4 15.994 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 15.994 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.994 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.994 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.994 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.994 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.994 * [taylor]: Taking taylor expansion of re in im 15.994 * [backup-simplify]: Simplify re into re 15.994 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.994 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.994 * [taylor]: Taking taylor expansion of re in im 15.994 * [backup-simplify]: Simplify re into re 15.995 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.995 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.995 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.995 * [taylor]: Taking taylor expansion of im in im 15.995 * [backup-simplify]: Simplify 0 into 0 15.995 * [backup-simplify]: Simplify 1 into 1 15.995 * [backup-simplify]: Simplify (/ 1 1) into 1 15.995 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.995 * [taylor]: Taking taylor expansion of im in im 15.995 * [backup-simplify]: Simplify 0 into 0 15.995 * [backup-simplify]: Simplify 1 into 1 15.996 * [backup-simplify]: Simplify (/ 1 1) into 1 15.996 * [backup-simplify]: Simplify (* 1 1) into 1 15.996 * [backup-simplify]: Simplify (+ 0 1) into 1 15.997 * [backup-simplify]: Simplify (sqrt 1) into 1 15.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.999 * [backup-simplify]: Simplify (+ 0 0) into 0 16.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.001 * [backup-simplify]: Simplify (log 1) into 0 16.001 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 16.001 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 16.001 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 16.001 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 16.001 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 16.001 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 16.001 * [taylor]: Taking taylor expansion of 1/4 in re 16.001 * [backup-simplify]: Simplify 1/4 into 1/4 16.001 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 16.001 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 16.001 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 16.002 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 16.002 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 16.002 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.002 * [taylor]: Taking taylor expansion of re in re 16.002 * [backup-simplify]: Simplify 0 into 0 16.002 * [backup-simplify]: Simplify 1 into 1 16.002 * [backup-simplify]: Simplify (/ 1 1) into 1 16.002 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.002 * [taylor]: Taking taylor expansion of re in re 16.002 * [backup-simplify]: Simplify 0 into 0 16.002 * [backup-simplify]: Simplify 1 into 1 16.003 * [backup-simplify]: Simplify (/ 1 1) into 1 16.003 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 16.003 * [taylor]: Taking taylor expansion of (/ 1 im) in re 16.003 * [taylor]: Taking taylor expansion of im in re 16.003 * [backup-simplify]: Simplify im into im 16.003 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 16.003 * [taylor]: Taking taylor expansion of (/ 1 im) in re 16.003 * [taylor]: Taking taylor expansion of im in re 16.003 * [backup-simplify]: Simplify im into im 16.003 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 16.003 * [backup-simplify]: Simplify (* 1 1) into 1 16.004 * [backup-simplify]: Simplify (+ 1 0) into 1 16.004 * [backup-simplify]: Simplify (sqrt 1) into 1 16.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.007 * [backup-simplify]: Simplify (+ 0 0) into 0 16.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.008 * [backup-simplify]: Simplify (log 1) into 0 16.008 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.008 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 16.008 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 16.008 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 16.008 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 16.009 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 16.009 * [taylor]: Taking taylor expansion of 1/4 in re 16.009 * [backup-simplify]: Simplify 1/4 into 1/4 16.009 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 16.009 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 16.009 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 16.009 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 16.009 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 16.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.009 * [taylor]: Taking taylor expansion of re in re 16.009 * [backup-simplify]: Simplify 0 into 0 16.009 * [backup-simplify]: Simplify 1 into 1 16.009 * [backup-simplify]: Simplify (/ 1 1) into 1 16.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.009 * [taylor]: Taking taylor expansion of re in re 16.009 * [backup-simplify]: Simplify 0 into 0 16.009 * [backup-simplify]: Simplify 1 into 1 16.010 * [backup-simplify]: Simplify (/ 1 1) into 1 16.010 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 16.010 * [taylor]: Taking taylor expansion of (/ 1 im) in re 16.010 * [taylor]: Taking taylor expansion of im in re 16.010 * [backup-simplify]: Simplify im into im 16.010 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 16.010 * [taylor]: Taking taylor expansion of (/ 1 im) in re 16.010 * [taylor]: Taking taylor expansion of im in re 16.010 * [backup-simplify]: Simplify im into im 16.010 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 16.011 * [backup-simplify]: Simplify (* 1 1) into 1 16.011 * [backup-simplify]: Simplify (+ 1 0) into 1 16.011 * [backup-simplify]: Simplify (sqrt 1) into 1 16.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.014 * [backup-simplify]: Simplify (+ 0 0) into 0 16.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.015 * [backup-simplify]: Simplify (log 1) into 0 16.015 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.016 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 16.016 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 16.016 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 16.016 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 16.016 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 16.016 * [taylor]: Taking taylor expansion of -1/4 in im 16.016 * [backup-simplify]: Simplify -1/4 into -1/4 16.016 * [taylor]: Taking taylor expansion of (log re) in im 16.016 * [taylor]: Taking taylor expansion of re in im 16.016 * [backup-simplify]: Simplify re into re 16.016 * [backup-simplify]: Simplify (log re) into (log re) 16.016 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 16.016 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 16.016 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 16.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.019 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.019 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 16.020 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 16.020 * [taylor]: Taking taylor expansion of 0 in im 16.020 * [backup-simplify]: Simplify 0 into 0 16.020 * [backup-simplify]: Simplify 0 into 0 16.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 16.021 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 16.023 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 16.023 * [backup-simplify]: Simplify 0 into 0 16.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.025 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 16.025 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.026 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.027 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 16.027 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.028 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 16.028 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 16.028 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 16.028 * [taylor]: Taking taylor expansion of 1/8 in im 16.028 * [backup-simplify]: Simplify 1/8 into 1/8 16.028 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 16.028 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 16.028 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 16.029 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 16.029 * [taylor]: Taking taylor expansion of 1/4 in im 16.029 * [backup-simplify]: Simplify 1/4 into 1/4 16.029 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 16.029 * [taylor]: Taking taylor expansion of (/ 1 re) in im 16.029 * [taylor]: Taking taylor expansion of re in im 16.029 * [backup-simplify]: Simplify re into re 16.029 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 16.029 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 16.029 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 16.029 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 16.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.029 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.029 * [taylor]: Taking taylor expansion of im in im 16.029 * [backup-simplify]: Simplify 0 into 0 16.029 * [backup-simplify]: Simplify 1 into 1 16.029 * [backup-simplify]: Simplify (* 1 1) into 1 16.029 * [backup-simplify]: Simplify (/ 1 1) into 1 16.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 16.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 16.032 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 16.033 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 16.034 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 16.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 16.035 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.036 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 16.036 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 16.036 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 16.037 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 16.037 * [backup-simplify]: Simplify 0 into 0 16.037 * [backup-simplify]: Simplify 0 into 0 16.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 16.038 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 16.039 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.039 * [backup-simplify]: Simplify 0 into 0 16.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 16.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 16.041 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 16.042 * [backup-simplify]: Simplify (+ 0 0) into 0 16.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.044 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.044 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.045 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 16.046 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.046 * [taylor]: Taking taylor expansion of 0 in im 16.046 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify (pow (/ 1 re) -1/4) into (pow (/ 1 re) -1/4) 16.046 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 16.046 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in (re im) around 0 16.046 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im 16.047 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im 16.047 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im 16.047 * [taylor]: Taking taylor expansion of 1/4 in im 16.047 * [backup-simplify]: Simplify 1/4 into 1/4 16.047 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 16.047 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 16.047 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 16.047 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 16.047 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 16.047 * [taylor]: Taking taylor expansion of (/ -1 re) in im 16.047 * [taylor]: Taking taylor expansion of -1 in im 16.047 * [backup-simplify]: Simplify -1 into -1 16.047 * [taylor]: Taking taylor expansion of re in im 16.047 * [backup-simplify]: Simplify re into re 16.047 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 16.047 * [taylor]: Taking taylor expansion of (/ -1 re) in im 16.047 * [taylor]: Taking taylor expansion of -1 in im 16.047 * [backup-simplify]: Simplify -1 into -1 16.047 * [taylor]: Taking taylor expansion of re in im 16.047 * [backup-simplify]: Simplify re into re 16.047 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 16.047 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 16.047 * [taylor]: Taking taylor expansion of (/ -1 im) in im 16.047 * [taylor]: Taking taylor expansion of -1 in im 16.047 * [backup-simplify]: Simplify -1 into -1 16.047 * [taylor]: Taking taylor expansion of im in im 16.047 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify 1 into 1 16.047 * [backup-simplify]: Simplify (/ -1 1) into -1 16.047 * [taylor]: Taking taylor expansion of (/ -1 im) in im 16.047 * [taylor]: Taking taylor expansion of -1 in im 16.047 * [backup-simplify]: Simplify -1 into -1 16.047 * [taylor]: Taking taylor expansion of im in im 16.047 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify 1 into 1 16.048 * [backup-simplify]: Simplify (/ -1 1) into -1 16.048 * [backup-simplify]: Simplify (* -1 -1) into 1 16.048 * [backup-simplify]: Simplify (+ 0 1) into 1 16.048 * [backup-simplify]: Simplify (sqrt 1) into 1 16.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.050 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.050 * [backup-simplify]: Simplify (+ 0 0) into 0 16.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.051 * [backup-simplify]: Simplify (log 1) into 0 16.051 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 16.051 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 16.051 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 16.051 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 16.051 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 16.051 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 16.051 * [taylor]: Taking taylor expansion of 1/4 in re 16.051 * [backup-simplify]: Simplify 1/4 into 1/4 16.051 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 16.051 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 16.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 16.051 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 16.051 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 16.051 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.051 * [taylor]: Taking taylor expansion of -1 in re 16.051 * [backup-simplify]: Simplify -1 into -1 16.051 * [taylor]: Taking taylor expansion of re in re 16.052 * [backup-simplify]: Simplify 0 into 0 16.052 * [backup-simplify]: Simplify 1 into 1 16.052 * [backup-simplify]: Simplify (/ -1 1) into -1 16.052 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.052 * [taylor]: Taking taylor expansion of -1 in re 16.052 * [backup-simplify]: Simplify -1 into -1 16.052 * [taylor]: Taking taylor expansion of re in re 16.052 * [backup-simplify]: Simplify 0 into 0 16.052 * [backup-simplify]: Simplify 1 into 1 16.052 * [backup-simplify]: Simplify (/ -1 1) into -1 16.052 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 16.052 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.052 * [taylor]: Taking taylor expansion of -1 in re 16.052 * [backup-simplify]: Simplify -1 into -1 16.052 * [taylor]: Taking taylor expansion of im in re 16.052 * [backup-simplify]: Simplify im into im 16.052 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.052 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.052 * [taylor]: Taking taylor expansion of -1 in re 16.052 * [backup-simplify]: Simplify -1 into -1 16.052 * [taylor]: Taking taylor expansion of im in re 16.052 * [backup-simplify]: Simplify im into im 16.052 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.053 * [backup-simplify]: Simplify (* -1 -1) into 1 16.053 * [backup-simplify]: Simplify (+ 1 0) into 1 16.053 * [backup-simplify]: Simplify (sqrt 1) into 1 16.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.055 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.055 * [backup-simplify]: Simplify (+ 0 0) into 0 16.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.056 * [backup-simplify]: Simplify (log 1) into 0 16.056 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.056 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 16.056 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 16.056 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 16.056 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 16.056 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 16.056 * [taylor]: Taking taylor expansion of 1/4 in re 16.056 * [backup-simplify]: Simplify 1/4 into 1/4 16.057 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 16.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 16.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 16.057 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 16.057 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 16.057 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.057 * [taylor]: Taking taylor expansion of -1 in re 16.057 * [backup-simplify]: Simplify -1 into -1 16.057 * [taylor]: Taking taylor expansion of re in re 16.057 * [backup-simplify]: Simplify 0 into 0 16.057 * [backup-simplify]: Simplify 1 into 1 16.057 * [backup-simplify]: Simplify (/ -1 1) into -1 16.057 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.057 * [taylor]: Taking taylor expansion of -1 in re 16.057 * [backup-simplify]: Simplify -1 into -1 16.057 * [taylor]: Taking taylor expansion of re in re 16.057 * [backup-simplify]: Simplify 0 into 0 16.057 * [backup-simplify]: Simplify 1 into 1 16.058 * [backup-simplify]: Simplify (/ -1 1) into -1 16.058 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 16.058 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.058 * [taylor]: Taking taylor expansion of -1 in re 16.058 * [backup-simplify]: Simplify -1 into -1 16.058 * [taylor]: Taking taylor expansion of im in re 16.058 * [backup-simplify]: Simplify im into im 16.058 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.058 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.058 * [taylor]: Taking taylor expansion of -1 in re 16.058 * [backup-simplify]: Simplify -1 into -1 16.058 * [taylor]: Taking taylor expansion of im in re 16.058 * [backup-simplify]: Simplify im into im 16.058 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.059 * [backup-simplify]: Simplify (* -1 -1) into 1 16.059 * [backup-simplify]: Simplify (+ 1 0) into 1 16.060 * [backup-simplify]: Simplify (sqrt 1) into 1 16.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.062 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.062 * [backup-simplify]: Simplify (+ 0 0) into 0 16.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.064 * [backup-simplify]: Simplify (log 1) into 0 16.064 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.064 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 16.064 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 16.064 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 16.064 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 16.064 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 16.064 * [taylor]: Taking taylor expansion of -1/4 in im 16.064 * [backup-simplify]: Simplify -1/4 into -1/4 16.065 * [taylor]: Taking taylor expansion of (log re) in im 16.065 * [taylor]: Taking taylor expansion of re in im 16.065 * [backup-simplify]: Simplify re into re 16.065 * [backup-simplify]: Simplify (log re) into (log re) 16.065 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 16.065 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 16.065 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 16.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.067 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.067 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 16.068 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 16.068 * [taylor]: Taking taylor expansion of 0 in im 16.068 * [backup-simplify]: Simplify 0 into 0 16.068 * [backup-simplify]: Simplify 0 into 0 16.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 16.070 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 16.070 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 16.070 * [backup-simplify]: Simplify 0 into 0 16.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.074 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 16.074 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 16.074 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.075 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.077 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 16.077 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.078 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 16.079 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 16.079 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 16.079 * [taylor]: Taking taylor expansion of 1/8 in im 16.079 * [backup-simplify]: Simplify 1/8 into 1/8 16.079 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 16.079 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 16.079 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 16.079 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 16.079 * [taylor]: Taking taylor expansion of 1/4 in im 16.079 * [backup-simplify]: Simplify 1/4 into 1/4 16.079 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 16.080 * [taylor]: Taking taylor expansion of (/ 1 re) in im 16.080 * [taylor]: Taking taylor expansion of re in im 16.080 * [backup-simplify]: Simplify re into re 16.080 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 16.080 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 16.080 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 16.080 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 16.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.080 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.080 * [taylor]: Taking taylor expansion of im in im 16.080 * [backup-simplify]: Simplify 0 into 0 16.080 * [backup-simplify]: Simplify 1 into 1 16.080 * [backup-simplify]: Simplify (* 1 1) into 1 16.081 * [backup-simplify]: Simplify (/ 1 1) into 1 16.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 16.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 16.085 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 16.086 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 16.087 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 16.087 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 16.088 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.089 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 16.089 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 16.089 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 16.090 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 16.090 * [backup-simplify]: Simplify 0 into 0 16.090 * [backup-simplify]: Simplify 0 into 0 16.091 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 16.091 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 16.092 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.092 * [backup-simplify]: Simplify 0 into 0 16.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.094 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 16.094 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 16.094 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 16.095 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 16.095 * [backup-simplify]: Simplify (+ 0 0) into 0 16.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.097 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.097 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.098 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 16.101 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.101 * [taylor]: Taking taylor expansion of 0 in im 16.101 * [backup-simplify]: Simplify 0 into 0 16.101 * [backup-simplify]: Simplify 0 into 0 16.101 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/4) into (pow (/ -1 re) -1/4) 16.101 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 16.101 * [backup-simplify]: Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4) 16.101 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/4) in (re im) around 0 16.101 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im 16.101 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im 16.101 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im 16.101 * [taylor]: Taking taylor expansion of 1/4 in im 16.101 * [backup-simplify]: Simplify 1/4 into 1/4 16.101 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 16.101 * [taylor]: Taking taylor expansion of (hypot re im) in im 16.101 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 16.101 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 16.101 * [taylor]: Taking taylor expansion of (* re re) in im 16.101 * [taylor]: Taking taylor expansion of re in im 16.101 * [backup-simplify]: Simplify re into re 16.101 * [taylor]: Taking taylor expansion of re in im 16.101 * [backup-simplify]: Simplify re into re 16.101 * [taylor]: Taking taylor expansion of (* im im) in im 16.101 * [taylor]: Taking taylor expansion of im in im 16.101 * [backup-simplify]: Simplify 0 into 0 16.101 * [backup-simplify]: Simplify 1 into 1 16.101 * [taylor]: Taking taylor expansion of im in im 16.101 * [backup-simplify]: Simplify 0 into 0 16.101 * [backup-simplify]: Simplify 1 into 1 16.101 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.102 * [backup-simplify]: Simplify (* 0 0) into 0 16.102 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 16.102 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 16.102 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 16.102 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 16.102 * [backup-simplify]: Simplify (+ 0 0) into 0 16.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 16.103 * [backup-simplify]: Simplify (log re) into (log re) 16.103 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re)) 16.103 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4) 16.103 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 16.103 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 16.103 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 16.103 * [taylor]: Taking taylor expansion of 1/4 in re 16.103 * [backup-simplify]: Simplify 1/4 into 1/4 16.103 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 16.103 * [taylor]: Taking taylor expansion of (hypot re im) in re 16.103 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 16.103 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 16.103 * [taylor]: Taking taylor expansion of (* re re) in re 16.103 * [taylor]: Taking taylor expansion of re in re 16.103 * [backup-simplify]: Simplify 0 into 0 16.103 * [backup-simplify]: Simplify 1 into 1 16.103 * [taylor]: Taking taylor expansion of re in re 16.103 * [backup-simplify]: Simplify 0 into 0 16.103 * [backup-simplify]: Simplify 1 into 1 16.103 * [taylor]: Taking taylor expansion of (* im im) in re 16.103 * [taylor]: Taking taylor expansion of im in re 16.103 * [backup-simplify]: Simplify im into im 16.103 * [taylor]: Taking taylor expansion of im in re 16.103 * [backup-simplify]: Simplify im into im 16.103 * [backup-simplify]: Simplify (* 0 0) into 0 16.103 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.103 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 16.103 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.104 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 16.104 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.104 * [backup-simplify]: Simplify (+ 0 0) into 0 16.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.104 * [backup-simplify]: Simplify (log im) into (log im) 16.104 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 16.104 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 16.104 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 16.104 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 16.104 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 16.105 * [taylor]: Taking taylor expansion of 1/4 in re 16.105 * [backup-simplify]: Simplify 1/4 into 1/4 16.105 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 16.105 * [taylor]: Taking taylor expansion of (hypot re im) in re 16.105 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 16.105 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 16.105 * [taylor]: Taking taylor expansion of (* re re) in re 16.105 * [taylor]: Taking taylor expansion of re in re 16.105 * [backup-simplify]: Simplify 0 into 0 16.105 * [backup-simplify]: Simplify 1 into 1 16.105 * [taylor]: Taking taylor expansion of re in re 16.105 * [backup-simplify]: Simplify 0 into 0 16.105 * [backup-simplify]: Simplify 1 into 1 16.105 * [taylor]: Taking taylor expansion of (* im im) in re 16.105 * [taylor]: Taking taylor expansion of im in re 16.105 * [backup-simplify]: Simplify im into im 16.105 * [taylor]: Taking taylor expansion of im in re 16.105 * [backup-simplify]: Simplify im into im 16.105 * [backup-simplify]: Simplify (* 0 0) into 0 16.105 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.105 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 16.105 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.106 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 16.106 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.106 * [backup-simplify]: Simplify (+ 0 0) into 0 16.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.106 * [backup-simplify]: Simplify (log im) into (log im) 16.106 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 16.106 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 16.106 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 16.106 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 16.106 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 16.106 * [taylor]: Taking taylor expansion of 1/4 in im 16.106 * [backup-simplify]: Simplify 1/4 into 1/4 16.106 * [taylor]: Taking taylor expansion of (log im) in im 16.106 * [taylor]: Taking taylor expansion of im in im 16.106 * [backup-simplify]: Simplify 0 into 0 16.106 * [backup-simplify]: Simplify 1 into 1 16.107 * [backup-simplify]: Simplify (log 1) into 0 16.107 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 16.107 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 16.107 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 16.107 * [backup-simplify]: Simplify (pow im 1/4) into (pow im 1/4) 16.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 16.108 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 16.109 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 16.109 * [taylor]: Taking taylor expansion of 0 in im 16.109 * [backup-simplify]: Simplify 0 into 0 16.109 * [backup-simplify]: Simplify 0 into 0 16.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.110 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 16.110 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 16.111 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 16.111 * [backup-simplify]: Simplify 0 into 0 16.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 16.112 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 16.112 * [backup-simplify]: Simplify (+ 1 0) into 1 16.113 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 16.113 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 16.114 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2))) 16.114 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 16.114 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) in im 16.114 * [taylor]: Taking taylor expansion of 1/8 in im 16.114 * [backup-simplify]: Simplify 1/8 into 1/8 16.114 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 16.114 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 16.114 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 16.114 * [taylor]: Taking taylor expansion of 1/4 in im 16.114 * [backup-simplify]: Simplify 1/4 into 1/4 16.114 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 16.114 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 16.114 * [taylor]: Taking taylor expansion of (pow im 7) in im 16.114 * [taylor]: Taking taylor expansion of im in im 16.114 * [backup-simplify]: Simplify 0 into 0 16.114 * [backup-simplify]: Simplify 1 into 1 16.115 * [backup-simplify]: Simplify (* 1 1) into 1 16.115 * [backup-simplify]: Simplify (* 1 1) into 1 16.115 * [backup-simplify]: Simplify (* 1 1) into 1 16.115 * [backup-simplify]: Simplify (* 1 1) into 1 16.116 * [backup-simplify]: Simplify (/ 1 1) into 1 16.116 * [backup-simplify]: Simplify (log 1) into 0 16.116 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 16.116 * [backup-simplify]: Simplify (* 1/4 (- (* 7 (log im)))) into (* -7/4 (log im)) 16.116 * [backup-simplify]: Simplify (exp (* -7/4 (log im))) into (pow im -7/4) 16.116 * [backup-simplify]: Simplify (* 1/8 (pow im -7/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 16.117 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 16.117 * [backup-simplify]: Simplify 0 into 0 16.118 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.119 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 16.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log im)))) into 0 16.120 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.120 * [backup-simplify]: Simplify 0 into 0 16.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 16.121 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 16.121 * [backup-simplify]: Simplify (+ 0 0) into 0 16.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 16.123 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 16.124 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 16.125 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.125 * [taylor]: Taking taylor expansion of 0 in im 16.125 * [backup-simplify]: Simplify 0 into 0 16.125 * [backup-simplify]: Simplify 0 into 0 16.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.128 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 16.129 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 7 (log im))))) into 0 16.130 * [backup-simplify]: Simplify (* (exp (* -7/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 16.130 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (pow im -7/4))) into 0 16.130 * [backup-simplify]: Simplify 0 into 0 16.130 * [backup-simplify]: Simplify 0 into 0 16.133 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.133 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 16.134 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 16.135 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.135 * [backup-simplify]: Simplify 0 into 0 16.135 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (* 1 re) 2)) (pow im 1/4)) into (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4)) 16.135 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 16.136 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in (re im) around 0 16.136 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im 16.136 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im 16.136 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im 16.136 * [taylor]: Taking taylor expansion of 1/4 in im 16.136 * [backup-simplify]: Simplify 1/4 into 1/4 16.136 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 16.136 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 16.136 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 16.136 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 16.136 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 16.136 * [taylor]: Taking taylor expansion of (/ 1 re) in im 16.136 * [taylor]: Taking taylor expansion of re in im 16.136 * [backup-simplify]: Simplify re into re 16.136 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 16.136 * [taylor]: Taking taylor expansion of (/ 1 re) in im 16.136 * [taylor]: Taking taylor expansion of re in im 16.136 * [backup-simplify]: Simplify re into re 16.136 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 16.136 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 16.136 * [taylor]: Taking taylor expansion of (/ 1 im) in im 16.136 * [taylor]: Taking taylor expansion of im in im 16.136 * [backup-simplify]: Simplify 0 into 0 16.136 * [backup-simplify]: Simplify 1 into 1 16.136 * [backup-simplify]: Simplify (/ 1 1) into 1 16.136 * [taylor]: Taking taylor expansion of (/ 1 im) in im 16.136 * [taylor]: Taking taylor expansion of im in im 16.136 * [backup-simplify]: Simplify 0 into 0 16.136 * [backup-simplify]: Simplify 1 into 1 16.137 * [backup-simplify]: Simplify (/ 1 1) into 1 16.137 * [backup-simplify]: Simplify (* 1 1) into 1 16.137 * [backup-simplify]: Simplify (+ 0 1) into 1 16.137 * [backup-simplify]: Simplify (sqrt 1) into 1 16.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.139 * [backup-simplify]: Simplify (+ 0 0) into 0 16.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.140 * [backup-simplify]: Simplify (log 1) into 0 16.140 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 16.140 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 16.140 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 16.140 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 16.140 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 16.140 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 16.140 * [taylor]: Taking taylor expansion of 1/4 in re 16.140 * [backup-simplify]: Simplify 1/4 into 1/4 16.140 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 16.140 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 16.140 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 16.140 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 16.140 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 16.140 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.140 * [taylor]: Taking taylor expansion of re in re 16.140 * [backup-simplify]: Simplify 0 into 0 16.140 * [backup-simplify]: Simplify 1 into 1 16.141 * [backup-simplify]: Simplify (/ 1 1) into 1 16.141 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.141 * [taylor]: Taking taylor expansion of re in re 16.141 * [backup-simplify]: Simplify 0 into 0 16.141 * [backup-simplify]: Simplify 1 into 1 16.141 * [backup-simplify]: Simplify (/ 1 1) into 1 16.141 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 16.141 * [taylor]: Taking taylor expansion of (/ 1 im) in re 16.141 * [taylor]: Taking taylor expansion of im in re 16.141 * [backup-simplify]: Simplify im into im 16.141 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 16.141 * [taylor]: Taking taylor expansion of (/ 1 im) in re 16.141 * [taylor]: Taking taylor expansion of im in re 16.141 * [backup-simplify]: Simplify im into im 16.141 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 16.141 * [backup-simplify]: Simplify (* 1 1) into 1 16.142 * [backup-simplify]: Simplify (+ 1 0) into 1 16.142 * [backup-simplify]: Simplify (sqrt 1) into 1 16.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.144 * [backup-simplify]: Simplify (+ 0 0) into 0 16.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.144 * [backup-simplify]: Simplify (log 1) into 0 16.145 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.145 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 16.145 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 16.145 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 16.145 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 16.145 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 16.145 * [taylor]: Taking taylor expansion of 1/4 in re 16.145 * [backup-simplify]: Simplify 1/4 into 1/4 16.145 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 16.145 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 16.145 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 16.145 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 16.145 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 16.145 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.145 * [taylor]: Taking taylor expansion of re in re 16.145 * [backup-simplify]: Simplify 0 into 0 16.145 * [backup-simplify]: Simplify 1 into 1 16.145 * [backup-simplify]: Simplify (/ 1 1) into 1 16.145 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.145 * [taylor]: Taking taylor expansion of re in re 16.145 * [backup-simplify]: Simplify 0 into 0 16.146 * [backup-simplify]: Simplify 1 into 1 16.146 * [backup-simplify]: Simplify (/ 1 1) into 1 16.146 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 16.146 * [taylor]: Taking taylor expansion of (/ 1 im) in re 16.146 * [taylor]: Taking taylor expansion of im in re 16.146 * [backup-simplify]: Simplify im into im 16.146 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 16.146 * [taylor]: Taking taylor expansion of (/ 1 im) in re 16.146 * [taylor]: Taking taylor expansion of im in re 16.146 * [backup-simplify]: Simplify im into im 16.146 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 16.146 * [backup-simplify]: Simplify (* 1 1) into 1 16.146 * [backup-simplify]: Simplify (+ 1 0) into 1 16.147 * [backup-simplify]: Simplify (sqrt 1) into 1 16.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.148 * [backup-simplify]: Simplify (+ 0 0) into 0 16.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.149 * [backup-simplify]: Simplify (log 1) into 0 16.149 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.149 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 16.149 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 16.150 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 16.150 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 16.150 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 16.150 * [taylor]: Taking taylor expansion of -1/4 in im 16.150 * [backup-simplify]: Simplify -1/4 into -1/4 16.150 * [taylor]: Taking taylor expansion of (log re) in im 16.150 * [taylor]: Taking taylor expansion of re in im 16.150 * [backup-simplify]: Simplify re into re 16.150 * [backup-simplify]: Simplify (log re) into (log re) 16.150 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 16.150 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 16.150 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 16.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.151 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.151 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 16.152 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 16.152 * [taylor]: Taking taylor expansion of 0 in im 16.152 * [backup-simplify]: Simplify 0 into 0 16.152 * [backup-simplify]: Simplify 0 into 0 16.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 16.153 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 16.153 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 16.153 * [backup-simplify]: Simplify 0 into 0 16.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.155 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 16.155 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.156 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 16.157 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.158 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 16.158 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 16.158 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 16.158 * [taylor]: Taking taylor expansion of 1/8 in im 16.158 * [backup-simplify]: Simplify 1/8 into 1/8 16.158 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 16.158 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 16.158 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 16.158 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 16.158 * [taylor]: Taking taylor expansion of 1/4 in im 16.158 * [backup-simplify]: Simplify 1/4 into 1/4 16.158 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 16.158 * [taylor]: Taking taylor expansion of (/ 1 re) in im 16.159 * [taylor]: Taking taylor expansion of re in im 16.159 * [backup-simplify]: Simplify re into re 16.159 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 16.159 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 16.159 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 16.159 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 16.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.159 * [taylor]: Taking taylor expansion of im in im 16.159 * [backup-simplify]: Simplify 0 into 0 16.159 * [backup-simplify]: Simplify 1 into 1 16.159 * [backup-simplify]: Simplify (* 1 1) into 1 16.159 * [backup-simplify]: Simplify (/ 1 1) into 1 16.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 16.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 16.162 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 16.163 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 16.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 16.164 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 16.165 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.166 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 16.166 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 16.166 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 16.167 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 16.167 * [backup-simplify]: Simplify 0 into 0 16.167 * [backup-simplify]: Simplify 0 into 0 16.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 16.168 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 16.169 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.169 * [backup-simplify]: Simplify 0 into 0 16.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 16.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 16.171 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 16.171 * [backup-simplify]: Simplify (+ 0 0) into 0 16.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.175 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.175 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.176 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 16.179 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.179 * [taylor]: Taking taylor expansion of 0 in im 16.179 * [backup-simplify]: Simplify 0 into 0 16.179 * [backup-simplify]: Simplify 0 into 0 16.179 * [backup-simplify]: Simplify (pow (/ 1 re) -1/4) into (pow (/ 1 re) -1/4) 16.179 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 16.179 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in (re im) around 0 16.179 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im 16.179 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im 16.179 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im 16.180 * [taylor]: Taking taylor expansion of 1/4 in im 16.180 * [backup-simplify]: Simplify 1/4 into 1/4 16.180 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 16.180 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 16.180 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 16.180 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 16.180 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 16.180 * [taylor]: Taking taylor expansion of (/ -1 re) in im 16.180 * [taylor]: Taking taylor expansion of -1 in im 16.180 * [backup-simplify]: Simplify -1 into -1 16.180 * [taylor]: Taking taylor expansion of re in im 16.180 * [backup-simplify]: Simplify re into re 16.180 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 16.180 * [taylor]: Taking taylor expansion of (/ -1 re) in im 16.180 * [taylor]: Taking taylor expansion of -1 in im 16.180 * [backup-simplify]: Simplify -1 into -1 16.180 * [taylor]: Taking taylor expansion of re in im 16.180 * [backup-simplify]: Simplify re into re 16.180 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 16.180 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 16.180 * [taylor]: Taking taylor expansion of (/ -1 im) in im 16.180 * [taylor]: Taking taylor expansion of -1 in im 16.180 * [backup-simplify]: Simplify -1 into -1 16.180 * [taylor]: Taking taylor expansion of im in im 16.180 * [backup-simplify]: Simplify 0 into 0 16.180 * [backup-simplify]: Simplify 1 into 1 16.181 * [backup-simplify]: Simplify (/ -1 1) into -1 16.181 * [taylor]: Taking taylor expansion of (/ -1 im) in im 16.181 * [taylor]: Taking taylor expansion of -1 in im 16.181 * [backup-simplify]: Simplify -1 into -1 16.181 * [taylor]: Taking taylor expansion of im in im 16.181 * [backup-simplify]: Simplify 0 into 0 16.181 * [backup-simplify]: Simplify 1 into 1 16.182 * [backup-simplify]: Simplify (/ -1 1) into -1 16.182 * [backup-simplify]: Simplify (* -1 -1) into 1 16.182 * [backup-simplify]: Simplify (+ 0 1) into 1 16.183 * [backup-simplify]: Simplify (sqrt 1) into 1 16.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.185 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.186 * [backup-simplify]: Simplify (+ 0 0) into 0 16.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.187 * [backup-simplify]: Simplify (log 1) into 0 16.187 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 16.188 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 16.188 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 16.188 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 16.188 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 16.188 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 16.188 * [taylor]: Taking taylor expansion of 1/4 in re 16.188 * [backup-simplify]: Simplify 1/4 into 1/4 16.188 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 16.188 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 16.188 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 16.188 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 16.188 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 16.188 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.188 * [taylor]: Taking taylor expansion of -1 in re 16.188 * [backup-simplify]: Simplify -1 into -1 16.188 * [taylor]: Taking taylor expansion of re in re 16.188 * [backup-simplify]: Simplify 0 into 0 16.188 * [backup-simplify]: Simplify 1 into 1 16.188 * [backup-simplify]: Simplify (/ -1 1) into -1 16.189 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.189 * [taylor]: Taking taylor expansion of -1 in re 16.189 * [backup-simplify]: Simplify -1 into -1 16.189 * [taylor]: Taking taylor expansion of re in re 16.189 * [backup-simplify]: Simplify 0 into 0 16.189 * [backup-simplify]: Simplify 1 into 1 16.189 * [backup-simplify]: Simplify (/ -1 1) into -1 16.189 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 16.189 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.189 * [taylor]: Taking taylor expansion of -1 in re 16.189 * [backup-simplify]: Simplify -1 into -1 16.189 * [taylor]: Taking taylor expansion of im in re 16.189 * [backup-simplify]: Simplify im into im 16.189 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.189 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.189 * [taylor]: Taking taylor expansion of -1 in re 16.189 * [backup-simplify]: Simplify -1 into -1 16.189 * [taylor]: Taking taylor expansion of im in re 16.189 * [backup-simplify]: Simplify im into im 16.189 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.189 * [backup-simplify]: Simplify (* -1 -1) into 1 16.190 * [backup-simplify]: Simplify (+ 1 0) into 1 16.190 * [backup-simplify]: Simplify (sqrt 1) into 1 16.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.191 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.192 * [backup-simplify]: Simplify (+ 0 0) into 0 16.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.192 * [backup-simplify]: Simplify (log 1) into 0 16.193 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.193 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 16.193 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 16.193 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 16.193 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 16.193 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 16.193 * [taylor]: Taking taylor expansion of 1/4 in re 16.193 * [backup-simplify]: Simplify 1/4 into 1/4 16.193 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 16.193 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 16.193 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 16.193 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 16.193 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 16.193 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.193 * [taylor]: Taking taylor expansion of -1 in re 16.193 * [backup-simplify]: Simplify -1 into -1 16.193 * [taylor]: Taking taylor expansion of re in re 16.193 * [backup-simplify]: Simplify 0 into 0 16.193 * [backup-simplify]: Simplify 1 into 1 16.194 * [backup-simplify]: Simplify (/ -1 1) into -1 16.194 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.194 * [taylor]: Taking taylor expansion of -1 in re 16.194 * [backup-simplify]: Simplify -1 into -1 16.194 * [taylor]: Taking taylor expansion of re in re 16.194 * [backup-simplify]: Simplify 0 into 0 16.194 * [backup-simplify]: Simplify 1 into 1 16.194 * [backup-simplify]: Simplify (/ -1 1) into -1 16.194 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 16.194 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.194 * [taylor]: Taking taylor expansion of -1 in re 16.194 * [backup-simplify]: Simplify -1 into -1 16.194 * [taylor]: Taking taylor expansion of im in re 16.194 * [backup-simplify]: Simplify im into im 16.194 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.194 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.194 * [taylor]: Taking taylor expansion of -1 in re 16.194 * [backup-simplify]: Simplify -1 into -1 16.194 * [taylor]: Taking taylor expansion of im in re 16.194 * [backup-simplify]: Simplify im into im 16.194 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.195 * [backup-simplify]: Simplify (* -1 -1) into 1 16.195 * [backup-simplify]: Simplify (+ 1 0) into 1 16.195 * [backup-simplify]: Simplify (sqrt 1) into 1 16.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.197 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.197 * [backup-simplify]: Simplify (+ 0 0) into 0 16.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.198 * [backup-simplify]: Simplify (log 1) into 0 16.198 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.198 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 16.198 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 16.199 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 16.199 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 16.199 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 16.199 * [taylor]: Taking taylor expansion of -1/4 in im 16.199 * [backup-simplify]: Simplify -1/4 into -1/4 16.199 * [taylor]: Taking taylor expansion of (log re) in im 16.199 * [taylor]: Taking taylor expansion of re in im 16.199 * [backup-simplify]: Simplify re into re 16.199 * [backup-simplify]: Simplify (log re) into (log re) 16.199 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 16.199 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 16.199 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 16.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.201 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.202 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 16.202 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 16.202 * [taylor]: Taking taylor expansion of 0 in im 16.202 * [backup-simplify]: Simplify 0 into 0 16.202 * [backup-simplify]: Simplify 0 into 0 16.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 16.203 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 16.204 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 16.204 * [backup-simplify]: Simplify 0 into 0 16.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.206 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 16.206 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 16.206 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.207 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 16.208 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.209 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 16.209 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 16.209 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 16.209 * [taylor]: Taking taylor expansion of 1/8 in im 16.209 * [backup-simplify]: Simplify 1/8 into 1/8 16.209 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 16.209 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 16.209 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 16.209 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 16.209 * [taylor]: Taking taylor expansion of 1/4 in im 16.209 * [backup-simplify]: Simplify 1/4 into 1/4 16.209 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 16.209 * [taylor]: Taking taylor expansion of (/ 1 re) in im 16.209 * [taylor]: Taking taylor expansion of re in im 16.209 * [backup-simplify]: Simplify re into re 16.209 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 16.209 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 16.209 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 16.210 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 16.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 16.210 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.210 * [taylor]: Taking taylor expansion of im in im 16.210 * [backup-simplify]: Simplify 0 into 0 16.210 * [backup-simplify]: Simplify 1 into 1 16.210 * [backup-simplify]: Simplify (* 1 1) into 1 16.210 * [backup-simplify]: Simplify (/ 1 1) into 1 16.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 16.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 16.213 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 16.214 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 16.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 16.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 16.216 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.217 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 16.217 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 16.217 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 16.218 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 16.218 * [backup-simplify]: Simplify 0 into 0 16.218 * [backup-simplify]: Simplify 0 into 0 16.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 16.219 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 16.220 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.220 * [backup-simplify]: Simplify 0 into 0 16.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.222 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 16.222 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 16.222 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 16.222 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 16.223 * [backup-simplify]: Simplify (+ 0 0) into 0 16.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.225 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.226 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 16.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 16.227 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.228 * [taylor]: Taking taylor expansion of 0 in im 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/4) into (pow (/ -1 re) -1/4) 16.228 * * * [progress]: simplifying candidates 16.228 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 16 / 152 ] simplifiying candidate # 16.228 * * * * [progress]: [ 17 / 152 ] simplifiying candidate # 16.229 * * * * [progress]: [ 18 / 152 ] simplifiying candidate # 16.229 * * * * [progress]: [ 19 / 152 ] simplifiying candidate # 16.229 * * * * [progress]: [ 20 / 152 ] simplifiying candidate # 16.229 * * * * [progress]: [ 21 / 152 ] simplifiying candidate # 16.229 * * * * [progress]: [ 22 / 152 ] simplifiying candidate # 16.229 * * * * [progress]: [ 23 / 152 ] simplifiying candidate # 16.229 * * * * [progress]: [ 24 / 152 ] simplifiying 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* [progress]: [ 40 / 152 ] simplifiying candidate # 16.229 * * * * [progress]: [ 41 / 152 ] simplifiying candidate # 16.229 * * * * [progress]: [ 42 / 152 ] simplifiying candidate # 16.229 * * * * [progress]: [ 43 / 152 ] simplifiying candidate # 16.230 * * * * [progress]: [ 44 / 152 ] simplifiying candidate # 16.230 * * * * [progress]: [ 45 / 152 ] simplifiying candidate # 16.230 * * * * [progress]: [ 46 / 152 ] simplifiying candidate # 16.230 * * * * [progress]: [ 47 / 152 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))))> 16.230 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 16.230 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 16.230 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 16.230 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 16.230 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 16.230 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 16.230 * * * * [progress]: 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candidate # 16.230 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 73 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 77 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 78 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 79 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 80 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 81 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 82 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 83 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 84 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 85 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 86 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 87 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 88 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 89 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 90 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 91 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 16.231 * * * * [progress]: [ 95 / 152 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))))> 16.231 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 105 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 106 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 107 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 108 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 109 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 110 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 111 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 112 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 118 / 152 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im)))))> 16.232 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 16.232 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 125 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 127 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 128 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 129 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 130 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 131 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 132 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 133 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 134 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 135 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 136 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 137 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 139 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 140 / 152 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))> 16.233 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 16.233 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 16.235 * [simplify]: Simplifying: (expm1 (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (log1p (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (+ 1/2 1) (+ (/ 1/2 2) 1/2) (+ (/ 1/2 2) (/ 1 2)) (+ (/ 1 2) 1) (+ (/ (/ 1 2) 2) 1/2) (+ (/ (/ 1 2) 2) (/ 1 2)) (* (sqrt (hypot re im)) (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (hypot re im)) (+ 1/2 1) (+ (/ 1 2) 1) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (hypot re im)))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (exp (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (hypot re im)) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt 1)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) 1) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (real->posit16 (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (expm1 (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (log1p (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (+ 1/2 (+ 1/2 1)) (+ 1/2 (+ (/ 1 2) 1)) (+ 1/2 (+ 1/2 1)) (+ 1/2 (+ (/ 1 2) 1)) (+ 1 3) (+ 1 3) (+ (/ 1/2 2) (+ (/ 1/2 2) 1/2)) (+ (/ 1/2 2) (+ (/ 1/2 2) (/ 1 2))) (+ (/ 1/2 2) (+ (/ (/ 1 2) 2) 1/2)) (+ (/ 1/2 2) (+ (/ (/ 1 2) 2) (/ 1 2))) (+ (/ 1 2) (+ 1/2 1)) (+ (/ 1 2) (+ (/ 1 2) 1)) (+ (/ 1 2) (+ 1/2 1)) (+ (/ 1 2) (+ (/ 1 2) 1)) (+ (/ (/ 1 2) 2) (+ (/ 1/2 2) 1/2)) (+ (/ (/ 1 2) 2) (+ (/ 1/2 2) (/ 1 2))) (+ (/ (/ 1 2) 2) (+ (/ (/ 1 2) 2) 1/2)) (+ (/ (/ 1 2) 2) (+ (/ (/ 1 2) 2) (/ 1 2))) (* (sqrt (hypot re im)) (* (sqrt (hypot re im)) (hypot re im))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (* (sqrt (hypot re im)) (hypot re im))) (+ (log (sqrt (sqrt (hypot re im)))) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (hypot re im))))) (+ (log (sqrt (sqrt (hypot re im)))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (log (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (exp (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))) (cbrt (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (* (sqrt (hypot re im)) (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (cbrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (real->posit16 (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (expm1 (sqrt (sqrt (hypot re im)))) (log1p (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))) (exp (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (cbrt (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt 1)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt 1) (sqrt (sqrt (hypot re im))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (real->posit16 (sqrt (sqrt (hypot re im)))) (expm1 (sqrt (sqrt (hypot re im)))) (log1p (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))) (exp (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (cbrt (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt 1)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt 1) (sqrt (sqrt (hypot re im))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (real->posit16 (sqrt (sqrt (hypot re im)))) (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) (pow (/ 1 re) -3/4) (pow (/ -1 re) -3/4) im re (* -1 re) (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4)) (pow (/ 1 re) -1/4) (pow (/ -1 re) -1/4) (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4)) (pow (/ 1 re) -1/4) (pow (/ -1 re) -1/4) 16.236 * * [simplify]: iteration 1: (130 enodes) 16.277 * * [simplify]: iteration 2: (301 enodes) 16.377 * * [simplify]: iteration 3: (892 enodes) 17.001 * * [simplify]: iteration 4: (1839 enodes) 18.036 * * [simplify]: Extracting #0: cost 60 inf + 0 18.037 * * [simplify]: Extracting #1: cost 173 inf + 9 18.038 * * [simplify]: Extracting #2: cost 298 inf + 2337 18.041 * * [simplify]: Extracting #3: cost 328 inf + 13757 18.049 * * [simplify]: Extracting #4: cost 239 inf + 45965 18.059 * * [simplify]: Extracting #5: cost 169 inf + 78848 18.074 * * [simplify]: Extracting #6: cost 54 inf + 147275 18.094 * * [simplify]: Extracting #7: cost 3 inf + 179025 18.113 * * [simplify]: Extracting #8: cost 0 inf + 180123 18.135 * [simplify]: Simplified to: (expm1 (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (log1p (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) 3/2 3/4 3/4 3/2 3/4 3/4 (* (hypot re im) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (hypot re im) (sqrt (hypot re im))) 3/2 3/2 (log (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (log (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (exp (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (* (hypot re im) (hypot re im))) (* (hypot re im) (sqrt (hypot re im))) (sqrt (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (cbrt (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (real->posit16 (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (expm1 (hypot re im)) (log1p (hypot re im)) 2 2 2 2 4 4 1 1 1 1 2 2 2 2 1 1 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (hypot re im) (* (hypot re im) (hypot re im)) (log (hypot re im)) (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (* (sqrt (hypot re im)) (cbrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (cbrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (hypot re im) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (hypot re im) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (hypot re im) (real->posit16 (hypot re im)) (expm1 (sqrt (sqrt (hypot re im)))) (log1p (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))) (exp (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (fabs (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) 1 (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) 1 (sqrt (sqrt (hypot re im))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (real->posit16 (sqrt (sqrt (hypot re im)))) (expm1 (sqrt (sqrt (hypot re im)))) (log1p (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))) (exp (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (fabs (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) 1 (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) 1 (sqrt (sqrt (hypot re im))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (real->posit16 (sqrt (sqrt (hypot re im)))) (fma 3/8 (* (* re (pow (/ 1 (pow im 5)) 1/8)) (* re (pow (/ 1 (pow im 5)) 1/8))) (pow im 3/4)) (pow (/ 1 re) -3/4) (pow (/ -1 re) -3/4) im re (- re) (fma (* (* re 1/8) re) (pow (/ 1 (pow im 7)) 1/4) (pow im 1/4)) (pow (/ 1 re) -1/4) (pow (/ -1 re) -1/4) (fma (* (* re 1/8) re) (pow (/ 1 (pow im 7)) 1/4) (pow im 1/4)) (pow (/ 1 re) -1/4) (pow (/ -1 re) -1/4) 18.142 * * * [progress]: adding candidates to table 19.454 * * [progress]: iteration 4 / 4 19.454 * * * [progress]: picking best candidate 19.456 * * * * [pick]: Picked # 19.456 * * * [progress]: localizing error 19.470 * * * [progress]: generating rewritten candidates 19.470 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 19.484 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 19.499 * * * [progress]: generating series expansions 19.499 * * * * [progress]: [ 1 / 2 ] generating series at (2) 19.499 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 19.500 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 19.500 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 19.500 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 19.500 * [taylor]: Taking taylor expansion of (pow im 2) in im 19.500 * [taylor]: Taking taylor expansion of im in im 19.500 * [backup-simplify]: Simplify 0 into 0 19.500 * [backup-simplify]: Simplify 1 into 1 19.500 * [taylor]: Taking taylor expansion of (pow re 2) in im 19.500 * [taylor]: Taking taylor expansion of re in im 19.500 * [backup-simplify]: Simplify re into re 19.500 * [backup-simplify]: Simplify (* re re) into (pow re 2) 19.500 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 19.500 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 19.500 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 19.501 * [backup-simplify]: Simplify (+ 0 0) into 0 19.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 19.501 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 19.501 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 19.501 * [taylor]: Taking taylor expansion of (pow im 2) in re 19.501 * [taylor]: Taking taylor expansion of im in re 19.501 * [backup-simplify]: Simplify im into im 19.501 * [taylor]: Taking taylor expansion of (pow re 2) in re 19.501 * [taylor]: Taking taylor expansion of re in re 19.501 * [backup-simplify]: Simplify 0 into 0 19.501 * [backup-simplify]: Simplify 1 into 1 19.501 * [backup-simplify]: Simplify (* im im) into (pow im 2) 19.501 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 19.502 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 19.502 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 19.502 * [backup-simplify]: Simplify (+ 0 0) into 0 19.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 19.502 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 19.502 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 19.502 * [taylor]: Taking taylor expansion of (pow im 2) in re 19.502 * [taylor]: Taking taylor expansion of im in re 19.502 * [backup-simplify]: Simplify im into im 19.502 * [taylor]: Taking taylor expansion of (pow re 2) in re 19.502 * [taylor]: Taking taylor expansion of re in re 19.502 * [backup-simplify]: Simplify 0 into 0 19.502 * [backup-simplify]: Simplify 1 into 1 19.503 * [backup-simplify]: Simplify (* im im) into (pow im 2) 19.503 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 19.503 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 19.503 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 19.503 * [backup-simplify]: Simplify (+ 0 0) into 0 19.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 19.503 * [taylor]: Taking taylor expansion of im in im 19.503 * [backup-simplify]: Simplify 0 into 0 19.504 * [backup-simplify]: Simplify 1 into 1 19.504 * [backup-simplify]: Simplify 0 into 0 19.504 * [taylor]: Taking taylor expansion of 0 in im 19.504 * [backup-simplify]: Simplify 0 into 0 19.504 * [backup-simplify]: Simplify 0 into 0 19.504 * [backup-simplify]: Simplify 1 into 1 19.504 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 19.505 * [backup-simplify]: Simplify (* 1 1) into 1 19.505 * [backup-simplify]: Simplify (+ 0 1) into 1 19.506 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 19.506 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 19.506 * [taylor]: Taking taylor expansion of 1/2 in im 19.506 * [backup-simplify]: Simplify 1/2 into 1/2 19.506 * [taylor]: Taking taylor expansion of im in im 19.506 * [backup-simplify]: Simplify 0 into 0 19.506 * [backup-simplify]: Simplify 1 into 1 19.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 19.508 * [backup-simplify]: Simplify 0 into 0 19.508 * [backup-simplify]: Simplify 0 into 0 19.508 * [backup-simplify]: Simplify 0 into 0 19.509 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 19.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.510 * [backup-simplify]: Simplify (+ 0 0) into 0 19.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 19.510 * [taylor]: Taking taylor expansion of 0 in im 19.510 * [backup-simplify]: Simplify 0 into 0 19.510 * [backup-simplify]: Simplify 0 into 0 19.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.511 * [backup-simplify]: Simplify 0 into 0 19.511 * [backup-simplify]: Simplify 0 into 0 19.511 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 19.512 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 19.512 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 19.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 19.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 19.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 19.512 * [taylor]: Taking taylor expansion of (pow re 2) in im 19.512 * [taylor]: Taking taylor expansion of re in im 19.512 * [backup-simplify]: Simplify re into re 19.512 * [backup-simplify]: Simplify (* re re) into (pow re 2) 19.512 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 19.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 19.512 * [taylor]: Taking taylor expansion of (pow im 2) in im 19.512 * [taylor]: Taking taylor expansion of im in im 19.512 * [backup-simplify]: Simplify 0 into 0 19.512 * [backup-simplify]: Simplify 1 into 1 19.513 * [backup-simplify]: Simplify (* 1 1) into 1 19.513 * [backup-simplify]: Simplify (/ 1 1) into 1 19.514 * [backup-simplify]: Simplify (+ 0 1) into 1 19.514 * [backup-simplify]: Simplify (sqrt 1) into 1 19.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.516 * [backup-simplify]: Simplify (+ 0 0) into 0 19.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 19.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 19.517 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 19.517 * [taylor]: Taking taylor expansion of (pow re 2) in re 19.517 * [taylor]: Taking taylor expansion of re in re 19.517 * [backup-simplify]: Simplify 0 into 0 19.517 * [backup-simplify]: Simplify 1 into 1 19.517 * [backup-simplify]: Simplify (* 1 1) into 1 19.518 * [backup-simplify]: Simplify (/ 1 1) into 1 19.518 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 19.518 * [taylor]: Taking taylor expansion of (pow im 2) in re 19.518 * [taylor]: Taking taylor expansion of im in re 19.518 * [backup-simplify]: Simplify im into im 19.518 * [backup-simplify]: Simplify (* im im) into (pow im 2) 19.518 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 19.518 * [backup-simplify]: Simplify (+ 1 0) into 1 19.519 * [backup-simplify]: Simplify (sqrt 1) into 1 19.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.520 * [backup-simplify]: Simplify (+ 0 0) into 0 19.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 19.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 19.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 19.521 * [taylor]: Taking taylor expansion of (pow re 2) in re 19.521 * [taylor]: Taking taylor expansion of re in re 19.521 * [backup-simplify]: Simplify 0 into 0 19.521 * [backup-simplify]: Simplify 1 into 1 19.522 * [backup-simplify]: Simplify (* 1 1) into 1 19.522 * [backup-simplify]: Simplify (/ 1 1) into 1 19.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 19.522 * [taylor]: Taking taylor expansion of (pow im 2) in re 19.522 * [taylor]: Taking taylor expansion of im in re 19.522 * [backup-simplify]: Simplify im into im 19.523 * [backup-simplify]: Simplify (* im im) into (pow im 2) 19.523 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 19.523 * [backup-simplify]: Simplify (+ 1 0) into 1 19.523 * [backup-simplify]: Simplify (sqrt 1) into 1 19.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.525 * [backup-simplify]: Simplify (+ 0 0) into 0 19.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.526 * [taylor]: Taking taylor expansion of 1 in im 19.526 * [backup-simplify]: Simplify 1 into 1 19.526 * [taylor]: Taking taylor expansion of 0 in im 19.526 * [backup-simplify]: Simplify 0 into 0 19.526 * [backup-simplify]: Simplify 1 into 1 19.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.528 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 19.529 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 19.529 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 19.530 * [taylor]: Taking taylor expansion of 1/2 in im 19.530 * [backup-simplify]: Simplify 1/2 into 1/2 19.530 * [taylor]: Taking taylor expansion of (pow im 2) in im 19.530 * [taylor]: Taking taylor expansion of im in im 19.530 * [backup-simplify]: Simplify 0 into 0 19.530 * [backup-simplify]: Simplify 1 into 1 19.530 * [backup-simplify]: Simplify (* 1 1) into 1 19.530 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 19.532 * [backup-simplify]: Simplify 0 into 0 19.532 * [backup-simplify]: Simplify 0 into 0 19.532 * [backup-simplify]: Simplify 0 into 0 19.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.534 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 19.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 19.535 * [backup-simplify]: Simplify (+ 0 0) into 0 19.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 19.536 * [taylor]: Taking taylor expansion of 0 in im 19.536 * [backup-simplify]: Simplify 0 into 0 19.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.538 * [backup-simplify]: Simplify 0 into 0 19.538 * [backup-simplify]: Simplify 0 into 0 19.538 * [backup-simplify]: Simplify 0 into 0 19.538 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 19.538 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 19.538 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 19.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 19.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 19.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 19.538 * [taylor]: Taking taylor expansion of (pow re 2) in im 19.538 * [taylor]: Taking taylor expansion of re in im 19.538 * [backup-simplify]: Simplify re into re 19.538 * [backup-simplify]: Simplify (* re re) into (pow re 2) 19.539 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 19.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 19.539 * [taylor]: Taking taylor expansion of (pow im 2) in im 19.539 * [taylor]: Taking taylor expansion of im in im 19.539 * [backup-simplify]: Simplify 0 into 0 19.539 * [backup-simplify]: Simplify 1 into 1 19.539 * [backup-simplify]: Simplify (* 1 1) into 1 19.540 * [backup-simplify]: Simplify (/ 1 1) into 1 19.540 * [backup-simplify]: Simplify (+ 0 1) into 1 19.540 * [backup-simplify]: Simplify (sqrt 1) into 1 19.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.542 * [backup-simplify]: Simplify (+ 0 0) into 0 19.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 19.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 19.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 19.543 * [taylor]: Taking taylor expansion of (pow re 2) in re 19.543 * [taylor]: Taking taylor expansion of re in re 19.543 * [backup-simplify]: Simplify 0 into 0 19.543 * [backup-simplify]: Simplify 1 into 1 19.544 * [backup-simplify]: Simplify (* 1 1) into 1 19.544 * [backup-simplify]: Simplify (/ 1 1) into 1 19.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 19.544 * [taylor]: Taking taylor expansion of (pow im 2) in re 19.544 * [taylor]: Taking taylor expansion of im in re 19.544 * [backup-simplify]: Simplify im into im 19.544 * [backup-simplify]: Simplify (* im im) into (pow im 2) 19.544 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 19.545 * [backup-simplify]: Simplify (+ 1 0) into 1 19.545 * [backup-simplify]: Simplify (sqrt 1) into 1 19.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.547 * [backup-simplify]: Simplify (+ 0 0) into 0 19.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 19.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 19.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 19.548 * [taylor]: Taking taylor expansion of (pow re 2) in re 19.548 * [taylor]: Taking taylor expansion of re in re 19.548 * [backup-simplify]: Simplify 0 into 0 19.548 * [backup-simplify]: Simplify 1 into 1 19.549 * [backup-simplify]: Simplify (* 1 1) into 1 19.549 * [backup-simplify]: Simplify (/ 1 1) into 1 19.549 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 19.549 * [taylor]: Taking taylor expansion of (pow im 2) in re 19.549 * [taylor]: Taking taylor expansion of im in re 19.549 * [backup-simplify]: Simplify im into im 19.549 * [backup-simplify]: Simplify (* im im) into (pow im 2) 19.550 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 19.550 * [backup-simplify]: Simplify (+ 1 0) into 1 19.550 * [backup-simplify]: Simplify (sqrt 1) into 1 19.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.552 * [backup-simplify]: Simplify (+ 0 0) into 0 19.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.553 * [taylor]: Taking taylor expansion of 1 in im 19.553 * [backup-simplify]: Simplify 1 into 1 19.553 * [taylor]: Taking taylor expansion of 0 in im 19.553 * [backup-simplify]: Simplify 0 into 0 19.553 * [backup-simplify]: Simplify 1 into 1 19.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.555 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 19.556 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 19.556 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 19.556 * [taylor]: Taking taylor expansion of 1/2 in im 19.556 * [backup-simplify]: Simplify 1/2 into 1/2 19.556 * [taylor]: Taking taylor expansion of (pow im 2) in im 19.556 * [taylor]: Taking taylor expansion of im in im 19.556 * [backup-simplify]: Simplify 0 into 0 19.556 * [backup-simplify]: Simplify 1 into 1 19.556 * [backup-simplify]: Simplify (* 1 1) into 1 19.557 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 19.558 * [backup-simplify]: Simplify 0 into 0 19.558 * [backup-simplify]: Simplify 0 into 0 19.558 * [backup-simplify]: Simplify 0 into 0 19.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.560 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 19.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 19.561 * [backup-simplify]: Simplify (+ 0 0) into 0 19.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 19.561 * [taylor]: Taking taylor expansion of 0 in im 19.561 * [backup-simplify]: Simplify 0 into 0 19.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.563 * [backup-simplify]: Simplify 0 into 0 19.563 * [backup-simplify]: Simplify 0 into 0 19.563 * [backup-simplify]: Simplify 0 into 0 19.563 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 19.563 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 19.564 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 19.564 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 19.564 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 19.564 * [taylor]: Taking taylor expansion of (pow im 2) in im 19.564 * [taylor]: Taking taylor expansion of im in im 19.564 * [backup-simplify]: Simplify 0 into 0 19.564 * [backup-simplify]: Simplify 1 into 1 19.564 * [taylor]: Taking taylor expansion of (pow re 2) in im 19.564 * [taylor]: Taking taylor expansion of re in im 19.564 * [backup-simplify]: Simplify re into re 19.564 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 19.564 * [taylor]: Taking taylor expansion of (pow im 2) in re 19.564 * [taylor]: Taking taylor expansion of im in re 19.564 * [backup-simplify]: Simplify im into im 19.564 * [taylor]: Taking taylor expansion of (pow re 2) in re 19.564 * [taylor]: Taking taylor expansion of re in re 19.564 * [backup-simplify]: Simplify 0 into 0 19.564 * [backup-simplify]: Simplify 1 into 1 19.564 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 19.564 * [taylor]: Taking taylor expansion of (pow im 2) in re 19.564 * [taylor]: Taking taylor expansion of im in re 19.564 * [backup-simplify]: Simplify im into im 19.564 * [taylor]: Taking taylor expansion of (pow re 2) in re 19.564 * [taylor]: Taking taylor expansion of re in re 19.564 * [backup-simplify]: Simplify 0 into 0 19.564 * [backup-simplify]: Simplify 1 into 1 19.564 * [backup-simplify]: Simplify (* im im) into (pow im 2) 19.564 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 19.565 * [taylor]: Taking taylor expansion of (pow im 2) in im 19.565 * [taylor]: Taking taylor expansion of im in im 19.565 * [backup-simplify]: Simplify 0 into 0 19.565 * [backup-simplify]: Simplify 1 into 1 19.565 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 19.565 * [backup-simplify]: Simplify (+ 0 0) into 0 19.565 * [taylor]: Taking taylor expansion of 0 in im 19.565 * [backup-simplify]: Simplify 0 into 0 19.565 * [backup-simplify]: Simplify 0 into 0 19.566 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 19.566 * [backup-simplify]: Simplify (* 1 1) into 1 19.566 * [backup-simplify]: Simplify (+ 0 1) into 1 19.567 * [taylor]: Taking taylor expansion of 1 in im 19.567 * [backup-simplify]: Simplify 1 into 1 19.567 * [backup-simplify]: Simplify 1 into 1 19.567 * [backup-simplify]: Simplify 0 into 0 19.567 * [backup-simplify]: Simplify (* 1 1) into 1 19.567 * [backup-simplify]: Simplify 1 into 1 19.568 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 19.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.569 * [backup-simplify]: Simplify (+ 0 0) into 0 19.569 * [taylor]: Taking taylor expansion of 0 in im 19.569 * [backup-simplify]: Simplify 0 into 0 19.569 * [backup-simplify]: Simplify 0 into 0 19.569 * [backup-simplify]: Simplify 0 into 0 19.569 * [backup-simplify]: Simplify 0 into 0 19.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.570 * [backup-simplify]: Simplify 0 into 0 19.571 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 19.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.572 * [backup-simplify]: Simplify (+ 0 0) into 0 19.572 * [taylor]: Taking taylor expansion of 0 in im 19.572 * [backup-simplify]: Simplify 0 into 0 19.572 * [backup-simplify]: Simplify 0 into 0 19.572 * [backup-simplify]: Simplify 0 into 0 19.572 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 19.573 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 19.573 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 19.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 19.573 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 19.573 * [taylor]: Taking taylor expansion of (pow re 2) in im 19.573 * [taylor]: Taking taylor expansion of re in im 19.573 * [backup-simplify]: Simplify re into re 19.573 * [backup-simplify]: Simplify (* re re) into (pow re 2) 19.573 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 19.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 19.573 * [taylor]: Taking taylor expansion of (pow im 2) in im 19.573 * [taylor]: Taking taylor expansion of im in im 19.573 * [backup-simplify]: Simplify 0 into 0 19.573 * [backup-simplify]: Simplify 1 into 1 19.578 * [backup-simplify]: Simplify (* 1 1) into 1 19.579 * [backup-simplify]: Simplify (/ 1 1) into 1 19.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 19.579 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 19.579 * [taylor]: Taking taylor expansion of (pow re 2) in re 19.579 * [taylor]: Taking taylor expansion of re in re 19.579 * [backup-simplify]: Simplify 0 into 0 19.579 * [backup-simplify]: Simplify 1 into 1 19.579 * [backup-simplify]: Simplify (* 1 1) into 1 19.580 * [backup-simplify]: Simplify (/ 1 1) into 1 19.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 19.580 * [taylor]: Taking taylor expansion of (pow im 2) in re 19.580 * [taylor]: Taking taylor expansion of im in re 19.580 * [backup-simplify]: Simplify im into im 19.580 * [backup-simplify]: Simplify (* im im) into (pow im 2) 19.580 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 19.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 19.580 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 19.580 * [taylor]: Taking taylor expansion of (pow re 2) in re 19.580 * [taylor]: Taking taylor expansion of re in re 19.580 * [backup-simplify]: Simplify 0 into 0 19.580 * [backup-simplify]: Simplify 1 into 1 19.581 * [backup-simplify]: Simplify (* 1 1) into 1 19.581 * [backup-simplify]: Simplify (/ 1 1) into 1 19.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 19.581 * [taylor]: Taking taylor expansion of (pow im 2) in re 19.581 * [taylor]: Taking taylor expansion of im in re 19.581 * [backup-simplify]: Simplify im into im 19.581 * [backup-simplify]: Simplify (* im im) into (pow im 2) 19.581 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 19.582 * [backup-simplify]: Simplify (+ 1 0) into 1 19.582 * [taylor]: Taking taylor expansion of 1 in im 19.582 * [backup-simplify]: Simplify 1 into 1 19.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.584 * [backup-simplify]: Simplify (+ 0 0) into 0 19.584 * [taylor]: Taking taylor expansion of 0 in im 19.584 * [backup-simplify]: Simplify 0 into 0 19.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.586 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 19.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 19.586 * [taylor]: Taking taylor expansion of (pow im 2) in im 19.586 * [taylor]: Taking taylor expansion of im in im 19.586 * [backup-simplify]: Simplify 0 into 0 19.586 * [backup-simplify]: Simplify 1 into 1 19.587 * [backup-simplify]: Simplify (* 1 1) into 1 19.587 * [backup-simplify]: Simplify (/ 1 1) into 1 19.587 * [backup-simplify]: Simplify 1 into 1 19.587 * [backup-simplify]: Simplify 1 into 1 19.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.590 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 19.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 19.591 * [backup-simplify]: Simplify (+ 0 0) into 0 19.591 * [taylor]: Taking taylor expansion of 0 in im 19.591 * [backup-simplify]: Simplify 0 into 0 19.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.592 * [backup-simplify]: Simplify 0 into 0 19.593 * [backup-simplify]: Simplify 0 into 0 19.593 * [backup-simplify]: Simplify 0 into 0 19.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.595 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 19.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 19.596 * [backup-simplify]: Simplify (+ 0 0) into 0 19.596 * [taylor]: Taking taylor expansion of 0 in im 19.596 * [backup-simplify]: Simplify 0 into 0 19.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.598 * [backup-simplify]: Simplify 0 into 0 19.598 * [backup-simplify]: Simplify 0 into 0 19.598 * [backup-simplify]: Simplify 0 into 0 19.598 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 19.599 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 19.599 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 19.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 19.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 19.599 * [taylor]: Taking taylor expansion of (pow re 2) in im 19.599 * [taylor]: Taking taylor expansion of re in im 19.599 * [backup-simplify]: Simplify re into re 19.599 * [backup-simplify]: Simplify (* re re) into (pow re 2) 19.599 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 19.599 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 19.599 * [taylor]: Taking taylor expansion of (pow im 2) in im 19.599 * [taylor]: Taking taylor expansion of im in im 19.599 * [backup-simplify]: Simplify 0 into 0 19.599 * [backup-simplify]: Simplify 1 into 1 19.600 * [backup-simplify]: Simplify (* 1 1) into 1 19.600 * [backup-simplify]: Simplify (/ 1 1) into 1 19.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 19.600 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 19.600 * [taylor]: Taking taylor expansion of (pow re 2) in re 19.600 * [taylor]: Taking taylor expansion of re in re 19.600 * [backup-simplify]: Simplify 0 into 0 19.600 * [backup-simplify]: Simplify 1 into 1 19.601 * [backup-simplify]: Simplify (* 1 1) into 1 19.601 * [backup-simplify]: Simplify (/ 1 1) into 1 19.601 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 19.601 * [taylor]: Taking taylor expansion of (pow im 2) in re 19.601 * [taylor]: Taking taylor expansion of im in re 19.601 * [backup-simplify]: Simplify im into im 19.601 * [backup-simplify]: Simplify (* im im) into (pow im 2) 19.601 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 19.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 19.601 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 19.601 * [taylor]: Taking taylor expansion of (pow re 2) in re 19.601 * [taylor]: Taking taylor expansion of re in re 19.601 * [backup-simplify]: Simplify 0 into 0 19.601 * [backup-simplify]: Simplify 1 into 1 19.602 * [backup-simplify]: Simplify (* 1 1) into 1 19.602 * [backup-simplify]: Simplify (/ 1 1) into 1 19.602 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 19.602 * [taylor]: Taking taylor expansion of (pow im 2) in re 19.602 * [taylor]: Taking taylor expansion of im in re 19.602 * [backup-simplify]: Simplify im into im 19.603 * [backup-simplify]: Simplify (* im im) into (pow im 2) 19.603 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 19.603 * [backup-simplify]: Simplify (+ 1 0) into 1 19.603 * [taylor]: Taking taylor expansion of 1 in im 19.603 * [backup-simplify]: Simplify 1 into 1 19.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.605 * [backup-simplify]: Simplify (+ 0 0) into 0 19.605 * [taylor]: Taking taylor expansion of 0 in im 19.605 * [backup-simplify]: Simplify 0 into 0 19.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.607 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 19.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 19.607 * [taylor]: Taking taylor expansion of (pow im 2) in im 19.607 * [taylor]: Taking taylor expansion of im in im 19.607 * [backup-simplify]: Simplify 0 into 0 19.607 * [backup-simplify]: Simplify 1 into 1 19.608 * [backup-simplify]: Simplify (* 1 1) into 1 19.608 * [backup-simplify]: Simplify (/ 1 1) into 1 19.608 * [backup-simplify]: Simplify 1 into 1 19.608 * [backup-simplify]: Simplify 1 into 1 19.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.610 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 19.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 19.611 * [backup-simplify]: Simplify (+ 0 0) into 0 19.611 * [taylor]: Taking taylor expansion of 0 in im 19.611 * [backup-simplify]: Simplify 0 into 0 19.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.612 * [backup-simplify]: Simplify 0 into 0 19.612 * [backup-simplify]: Simplify 0 into 0 19.612 * [backup-simplify]: Simplify 0 into 0 19.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.615 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 19.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 19.615 * [backup-simplify]: Simplify (+ 0 0) into 0 19.616 * [taylor]: Taking taylor expansion of 0 in im 19.616 * [backup-simplify]: Simplify 0 into 0 19.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.617 * [backup-simplify]: Simplify 0 into 0 19.617 * [backup-simplify]: Simplify 0 into 0 19.617 * [backup-simplify]: Simplify 0 into 0 19.618 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 19.618 * * * [progress]: simplifying candidates 19.618 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 19.618 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 19.618 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 19.618 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 19.618 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 19.618 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 19.618 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 19.618 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 19.618 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 19.618 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 19 / 40 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))> 19.619 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 19.619 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 19.620 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 19.620 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 19.620 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 19.620 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 19.620 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))))> 19.620 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 19.620 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 19.620 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 19.620 * * * * [progress]: [ 37 / 40 ] simplifiying candidate # 19.620 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 19.620 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 19.620 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 19.621 * [simplify]: Simplifying: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* 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)) (real->posit16 (+ (* re re) (* im im))) im re (* -1 re) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) 19.622 * * [simplify]: iteration 1: (54 enodes) 19.645 * * [simplify]: iteration 2: (136 enodes) 19.717 * * [simplify]: iteration 3: (432 enodes) 20.177 * * [simplify]: iteration 4: (1765 enodes) 25.231 * * [simplify]: Extracting #0: cost 34 inf + 0 25.231 * * [simplify]: Extracting #1: cost 224 inf + 566 25.242 * * [simplify]: Extracting #2: cost 937 inf + 11017 25.293 * * [simplify]: Extracting #3: cost 239 inf + 109877 25.380 * * [simplify]: Extracting #4: cost 25 inf + 160884 25.425 * * [simplify]: Extracting #5: cost 2 inf + 172609 25.481 * * [simplify]: Extracting #6: cost 0 inf + 173113 25.548 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (fma re re (* im im))) (fabs (cbrt (fma re re (* im im)))) (sqrt (cbrt (fma re re (* im im)))) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (hypot (* (* im im) im) (* re (* re re))) (sqrt (fma (* im im) (- (* im im) (* re re)) (* (* re re) (* re re)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (expm1 (fma re re (* im im))) (log1p (fma re re (* im im))) (exp (fma re re (* im im))) (+ (log (hypot re im)) (log (hypot re im))) (exp (fma re re (* im im))) (* (cbrt (fma re re (* im im))) (cbrt (fma re re (* im im)))) (cbrt (fma re re (* im im))) (* (* (fma re re (* im im)) (fma re re (* im im))) (fma re re (* im im))) (hypot re im) (hypot re im) (fma (* re re) (* (* re re) (* re re)) (* (* (* im im) im) (* (* im im) im))) (fma (* im im) (- (* im im) (* re re)) (* (* re re) (* re re))) (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (* (+ re im) (- re im)) (real->posit16 (fma re re (* im im))) im re (- re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 25.550 * * * [progress]: adding candidates to table 25.829 * [progress]: [Phase 3 of 3] Extracting. 25.830 * * [regime]: Finding splitpoints for: (# # # #) 25.830 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 25.830 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 25.856 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 25.898 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 25.949 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 25.974 * * * * [regimes]: Trying to branch on im from (# # # #) 26.020 * * * * [regimes]: Trying to branch on re from (# # # #) 26.054 * * * [regime]: Found split indices: #