40.048 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.030 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.030 * * [simplify]: iteration 0: 6 enodes 0.032 * * [simplify]: iteration 1: 9 enodes 0.033 * * [simplify]: iteration 2: 10 enodes 0.034 * * [simplify]: iteration complete: 10 enodes 0.034 * * [simplify]: Extracting #0: cost 1 inf + 0 0.034 * * [simplify]: Extracting #1: cost 4 inf + 0 0.034 * * [simplify]: Extracting #2: cost 4 inf + 2 0.034 * * [simplify]: Extracting #3: cost 0 inf + 238 0.035 * [simplify]: Simplified to: (hypot re im) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.052 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.052 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.052 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.052 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.052 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.052 * [taylor]: Taking taylor expansion of (* re re) in im 0.052 * [taylor]: Taking taylor expansion of re in im 0.052 * [backup-simplify]: Simplify re into re 0.052 * [taylor]: Taking taylor expansion of re in im 0.052 * [backup-simplify]: Simplify re into re 0.052 * [taylor]: Taking taylor expansion of (* im im) in im 0.052 * [taylor]: Taking taylor expansion of im in im 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [taylor]: Taking taylor expansion of im in im 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.052 * [backup-simplify]: Simplify (* 0 0) into 0 0.052 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.053 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.053 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.053 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.053 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.053 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.053 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.053 * [taylor]: Taking taylor expansion of (* re re) in re 0.053 * [taylor]: Taking taylor expansion of re in re 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of re in re 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (* im im) in re 0.054 * [taylor]: Taking taylor expansion of im in re 0.054 * [backup-simplify]: Simplify im into im 0.054 * [taylor]: Taking taylor expansion of im in re 0.054 * [backup-simplify]: Simplify im into im 0.054 * [backup-simplify]: Simplify (* 0 0) into 0 0.054 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.054 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.054 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.054 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.054 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.055 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.055 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.055 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.055 * [taylor]: Taking taylor expansion of (* re re) in re 0.055 * [taylor]: Taking taylor expansion of re in re 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of re in re 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of (* im im) in re 0.055 * [taylor]: Taking taylor expansion of im in re 0.055 * [backup-simplify]: Simplify im into im 0.055 * [taylor]: Taking taylor expansion of im in re 0.055 * [backup-simplify]: Simplify im into im 0.055 * [backup-simplify]: Simplify (* 0 0) into 0 0.055 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.055 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.055 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.056 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.056 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.056 * [taylor]: Taking taylor expansion of im in im 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [taylor]: Taking taylor expansion of 0 in im 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.057 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.057 * [backup-simplify]: Simplify (+ 1 0) into 1 0.058 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.058 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.058 * [taylor]: Taking taylor expansion of 1/2 in im 0.058 * [backup-simplify]: Simplify 1/2 into 1/2 0.058 * [taylor]: Taking taylor expansion of im in im 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.060 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in im 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.061 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.061 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.061 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.061 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.061 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.061 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.061 * [taylor]: Taking taylor expansion of re in im 0.061 * [backup-simplify]: Simplify re into re 0.061 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.061 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.061 * [taylor]: Taking taylor expansion of re in im 0.061 * [backup-simplify]: Simplify re into re 0.061 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.061 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.062 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.062 * [taylor]: Taking taylor expansion of im in im 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.062 * [taylor]: Taking taylor expansion of im in im 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (+ 0 1) into 1 0.063 * [backup-simplify]: Simplify (sqrt 1) into 1 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.065 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.065 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.065 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.065 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.065 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.065 * [taylor]: Taking taylor expansion of re in re 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.065 * [taylor]: Taking taylor expansion of re in re 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.066 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.066 * [taylor]: Taking taylor expansion of im in re 0.066 * [backup-simplify]: Simplify im into im 0.066 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.066 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.066 * [taylor]: Taking taylor expansion of im in re 0.066 * [backup-simplify]: Simplify im into im 0.066 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify (+ 1 0) into 1 0.067 * [backup-simplify]: Simplify (sqrt 1) into 1 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.069 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.069 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.069 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.069 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.069 * [taylor]: Taking taylor expansion of re in re 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.069 * [taylor]: Taking taylor expansion of re in re 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.069 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.069 * [taylor]: Taking taylor expansion of im in re 0.069 * [backup-simplify]: Simplify im into im 0.069 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.069 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.070 * [taylor]: Taking taylor expansion of im in re 0.070 * [backup-simplify]: Simplify im into im 0.070 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify (+ 1 0) into 1 0.070 * [backup-simplify]: Simplify (sqrt 1) into 1 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.072 * [taylor]: Taking taylor expansion of 1 in im 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of 0 in im 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.074 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.074 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.075 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.075 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.075 * [taylor]: Taking taylor expansion of 1/2 in im 0.075 * [backup-simplify]: Simplify 1/2 into 1/2 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.075 * [taylor]: Taking taylor expansion of im in im 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.079 * [taylor]: Taking taylor expansion of 0 in im 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.080 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.081 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.081 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.081 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.081 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.081 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.081 * [taylor]: Taking taylor expansion of -1 in im 0.081 * [backup-simplify]: Simplify -1 into -1 0.081 * [taylor]: Taking taylor expansion of re in im 0.081 * [backup-simplify]: Simplify re into re 0.081 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.081 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.081 * [taylor]: Taking taylor expansion of -1 in im 0.081 * [backup-simplify]: Simplify -1 into -1 0.081 * [taylor]: Taking taylor expansion of re in im 0.081 * [backup-simplify]: Simplify re into re 0.081 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.081 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.081 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.081 * [taylor]: Taking taylor expansion of -1 in im 0.081 * [backup-simplify]: Simplify -1 into -1 0.081 * [taylor]: Taking taylor expansion of im in im 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (/ -1 1) into -1 0.081 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.081 * [taylor]: Taking taylor expansion of -1 in im 0.081 * [backup-simplify]: Simplify -1 into -1 0.081 * [taylor]: Taking taylor expansion of im in im 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ -1 1) into -1 0.082 * [backup-simplify]: Simplify (* -1 -1) into 1 0.082 * [backup-simplify]: Simplify (+ 0 1) into 1 0.082 * [backup-simplify]: Simplify (sqrt 1) into 1 0.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.084 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.084 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.084 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.085 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.085 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.085 * [taylor]: Taking taylor expansion of -1 in re 0.085 * [backup-simplify]: Simplify -1 into -1 0.085 * [taylor]: Taking taylor expansion of re in re 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ -1 1) into -1 0.085 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.085 * [taylor]: Taking taylor expansion of -1 in re 0.085 * [backup-simplify]: Simplify -1 into -1 0.085 * [taylor]: Taking taylor expansion of re in re 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ -1 1) into -1 0.085 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.085 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.085 * [taylor]: Taking taylor expansion of -1 in re 0.085 * [backup-simplify]: Simplify -1 into -1 0.085 * [taylor]: Taking taylor expansion of im in re 0.085 * [backup-simplify]: Simplify im into im 0.085 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.085 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.085 * [taylor]: Taking taylor expansion of -1 in re 0.085 * [backup-simplify]: Simplify -1 into -1 0.085 * [taylor]: Taking taylor expansion of im in re 0.085 * [backup-simplify]: Simplify im into im 0.085 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.086 * [backup-simplify]: Simplify (* -1 -1) into 1 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [backup-simplify]: Simplify (sqrt 1) into 1 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.088 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.088 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.088 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.088 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.088 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.088 * [taylor]: Taking taylor expansion of -1 in re 0.088 * [backup-simplify]: Simplify -1 into -1 0.088 * [taylor]: Taking taylor expansion of re in re 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ -1 1) into -1 0.089 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.089 * [taylor]: Taking taylor expansion of -1 in re 0.089 * [backup-simplify]: Simplify -1 into -1 0.089 * [taylor]: Taking taylor expansion of re in re 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ -1 1) into -1 0.089 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.089 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.089 * [taylor]: Taking taylor expansion of -1 in re 0.089 * [backup-simplify]: Simplify -1 into -1 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [backup-simplify]: Simplify im into im 0.089 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.089 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.089 * [taylor]: Taking taylor expansion of -1 in re 0.089 * [backup-simplify]: Simplify -1 into -1 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [backup-simplify]: Simplify im into im 0.090 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.090 * [backup-simplify]: Simplify (* -1 -1) into 1 0.090 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [backup-simplify]: Simplify (sqrt 1) into 1 0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.092 * [taylor]: Taking taylor expansion of 1 in im 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.094 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.094 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.095 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.095 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.095 * [taylor]: Taking taylor expansion of 1/2 in im 0.095 * [backup-simplify]: Simplify 1/2 into 1/2 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.095 * [taylor]: Taking taylor expansion of im in im 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.099 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.099 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.101 * * * [progress]: simplifying candidates 0.101 * * * * [progress]: [ 1 / 14 ] simplifiying candidate # 0.101 * * * * [progress]: [ 2 / 14 ] simplifiying candidate # 0.101 * * * * [progress]: [ 3 / 14 ] simplifiying candidate # 0.101 * * * * [progress]: [ 4 / 14 ] simplifiying candidate # 0.101 * * * * [progress]: [ 5 / 14 ] simplifiying candidate # 0.101 * * * * [progress]: [ 6 / 14 ] simplifiying candidate # 0.101 * * * * [progress]: [ 7 / 14 ] simplifiying candidate # 0.101 * * * * [progress]: [ 8 / 14 ] simplifiying candidate # 0.101 * * * * [progress]: [ 9 / 14 ] simplifiying candidate # 0.101 * * * * [progress]: [ 10 / 14 ] simplifiying candidate # 0.101 * * * * [progress]: [ 11 / 14 ] simplifiying candidate #real (real->posit16 (hypot re im))))> 0.101 * * * * [progress]: [ 12 / 14 ] simplifiying candidate # 0.101 * * * * [progress]: [ 13 / 14 ] simplifiying candidate # 0.101 * * * * [progress]: [ 14 / 14 ] simplifiying candidate # 0.101 * [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) 0.102 * * [simplify]: iteration 0: 18 enodes 0.105 * * [simplify]: iteration 1: 23 enodes 0.108 * * [simplify]: iteration 2: 26 enodes 0.112 * * [simplify]: iteration 3: 31 enodes 0.117 * * [simplify]: iteration 4: 39 enodes 0.127 * * [simplify]: iteration 5: 51 enodes 0.139 * * [simplify]: iteration 6: 73 enodes 0.153 * * [simplify]: iteration 7: 118 enodes 0.204 * * [simplify]: iteration 8: 362 enodes 0.430 * * [simplify]: iteration 9: 871 enodes 0.708 * * [simplify]: iteration 10: 2015 enodes 1.117 * * [simplify]: iteration complete: 2015 enodes 1.117 * * [simplify]: Extracting #0: cost 13 inf + 0 1.117 * * [simplify]: Extracting #1: cost 111 inf + 2 1.119 * * [simplify]: Extracting #2: cost 493 inf + 810 1.120 * * [simplify]: Extracting #3: cost 641 inf + 1789 1.124 * * [simplify]: Extracting #4: cost 609 inf + 19682 1.145 * * [simplify]: Extracting #5: cost 319 inf + 268669 1.177 * * [simplify]: Extracting #6: cost 4 inf + 553138 1.220 * * [simplify]: Extracting #7: cost 0 inf + 553955 1.263 * [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) 1.264 * * * [progress]: adding candidates to table 1.327 * * [progress]: iteration 2 / 4 1.327 * * * [progress]: picking best candidate 1.331 * * * * [pick]: Picked # 1.331 * * * [progress]: localizing error 1.340 * * * [progress]: generating rewritten candidates 1.340 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.349 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.350 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.350 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.352 * * * [progress]: generating series expansions 1.352 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.352 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 1.352 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.352 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.352 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.352 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.352 * [taylor]: Taking taylor expansion of (* re re) in im 1.352 * [taylor]: Taking taylor expansion of re in im 1.352 * [backup-simplify]: Simplify re into re 1.352 * [taylor]: Taking taylor expansion of re in im 1.352 * [backup-simplify]: Simplify re into re 1.352 * [taylor]: Taking taylor expansion of (* im im) in im 1.352 * [taylor]: Taking taylor expansion of im in im 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.352 * [taylor]: Taking taylor expansion of im in im 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.352 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.353 * [backup-simplify]: Simplify (* 0 0) into 0 1.353 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.353 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.353 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.353 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.354 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.354 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.354 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.354 * [taylor]: Taking taylor expansion of (* re re) in re 1.354 * [taylor]: Taking taylor expansion of re in re 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [taylor]: Taking taylor expansion of re in re 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [taylor]: Taking taylor expansion of (* im im) in re 1.354 * [taylor]: Taking taylor expansion of im in re 1.354 * [backup-simplify]: Simplify im into im 1.354 * [taylor]: Taking taylor expansion of im in re 1.354 * [backup-simplify]: Simplify im into im 1.354 * [backup-simplify]: Simplify (* 0 0) into 0 1.354 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.354 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.354 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.355 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.355 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.355 * [backup-simplify]: Simplify (+ 0 0) into 0 1.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.355 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.355 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.355 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.355 * [taylor]: Taking taylor expansion of (* re re) in re 1.355 * [taylor]: Taking taylor expansion of re in re 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of re in re 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of (* im im) in re 1.355 * [taylor]: Taking taylor expansion of im in re 1.355 * [backup-simplify]: Simplify im into im 1.355 * [taylor]: Taking taylor expansion of im in re 1.355 * [backup-simplify]: Simplify im into im 1.356 * [backup-simplify]: Simplify (* 0 0) into 0 1.356 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.356 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.356 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.356 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.356 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.357 * [taylor]: Taking taylor expansion of im in im 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [taylor]: Taking taylor expansion of 0 in im 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.358 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.359 * [backup-simplify]: Simplify (+ 1 0) into 1 1.360 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.360 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.360 * [taylor]: Taking taylor expansion of 1/2 in im 1.360 * [backup-simplify]: Simplify 1/2 into 1/2 1.360 * [taylor]: Taking taylor expansion of im in im 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.368 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.369 * [taylor]: Taking taylor expansion of 0 in im 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.370 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 1.370 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.370 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.370 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.370 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.370 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.370 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.370 * [taylor]: Taking taylor expansion of re in im 1.370 * [backup-simplify]: Simplify re into re 1.370 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.371 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.371 * [taylor]: Taking taylor expansion of re in im 1.371 * [backup-simplify]: Simplify re into re 1.371 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.371 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.371 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.371 * [taylor]: Taking taylor expansion of im in im 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.371 * [taylor]: Taking taylor expansion of im in im 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify (/ 1 1) into 1 1.372 * [backup-simplify]: Simplify (* 1 1) into 1 1.372 * [backup-simplify]: Simplify (+ 0 1) into 1 1.373 * [backup-simplify]: Simplify (sqrt 1) into 1 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.375 * [backup-simplify]: Simplify (+ 0 0) into 0 1.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.376 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.376 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.376 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.376 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.376 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.376 * [taylor]: Taking taylor expansion of re in re 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (/ 1 1) into 1 1.376 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.376 * [taylor]: Taking taylor expansion of re in re 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.377 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.377 * [taylor]: Taking taylor expansion of im in re 1.377 * [backup-simplify]: Simplify im into im 1.377 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.377 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.377 * [taylor]: Taking taylor expansion of im in re 1.377 * [backup-simplify]: Simplify im into im 1.377 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.377 * [backup-simplify]: Simplify (* 1 1) into 1 1.378 * [backup-simplify]: Simplify (+ 1 0) into 1 1.378 * [backup-simplify]: Simplify (sqrt 1) into 1 1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.380 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.381 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.381 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.381 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.381 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (/ 1 1) into 1 1.382 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.382 * [taylor]: Taking taylor expansion of re in re 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (/ 1 1) into 1 1.382 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.382 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.382 * [taylor]: Taking taylor expansion of im in re 1.382 * [backup-simplify]: Simplify im into im 1.382 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.382 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.382 * [taylor]: Taking taylor expansion of im in re 1.382 * [backup-simplify]: Simplify im into im 1.382 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.383 * [backup-simplify]: Simplify (* 1 1) into 1 1.383 * [backup-simplify]: Simplify (+ 1 0) into 1 1.383 * [backup-simplify]: Simplify (sqrt 1) into 1 1.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.386 * [backup-simplify]: Simplify (+ 0 0) into 0 1.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.386 * [taylor]: Taking taylor expansion of 1 in im 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [taylor]: Taking taylor expansion of 0 in im 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.389 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.389 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.390 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.390 * [taylor]: Taking taylor expansion of 1/2 in im 1.390 * [backup-simplify]: Simplify 1/2 into 1/2 1.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.390 * [taylor]: Taking taylor expansion of im in im 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (* 1 1) into 1 1.391 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.396 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.396 * [backup-simplify]: Simplify (+ 0 0) into 0 1.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.397 * [taylor]: Taking taylor expansion of 0 in im 1.397 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.399 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 1.399 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.399 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.399 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.399 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.399 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.399 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.399 * [taylor]: Taking taylor expansion of -1 in im 1.399 * [backup-simplify]: Simplify -1 into -1 1.399 * [taylor]: Taking taylor expansion of re in im 1.399 * [backup-simplify]: Simplify re into re 1.399 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.399 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.399 * [taylor]: Taking taylor expansion of -1 in im 1.399 * [backup-simplify]: Simplify -1 into -1 1.399 * [taylor]: Taking taylor expansion of re in im 1.400 * [backup-simplify]: Simplify re into re 1.400 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.400 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.400 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.400 * [taylor]: Taking taylor expansion of -1 in im 1.400 * [backup-simplify]: Simplify -1 into -1 1.400 * [taylor]: Taking taylor expansion of im in im 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [backup-simplify]: Simplify (/ -1 1) into -1 1.400 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.400 * [taylor]: Taking taylor expansion of -1 in im 1.400 * [backup-simplify]: Simplify -1 into -1 1.400 * [taylor]: Taking taylor expansion of im in im 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ -1 1) into -1 1.401 * [backup-simplify]: Simplify (* -1 -1) into 1 1.401 * [backup-simplify]: Simplify (+ 0 1) into 1 1.402 * [backup-simplify]: Simplify (sqrt 1) into 1 1.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.404 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.404 * [backup-simplify]: Simplify (+ 0 0) into 0 1.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.405 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.405 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.405 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.405 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.405 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.405 * [taylor]: Taking taylor expansion of -1 in re 1.405 * [backup-simplify]: Simplify -1 into -1 1.405 * [taylor]: Taking taylor expansion of re in re 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (/ -1 1) into -1 1.406 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.406 * [taylor]: Taking taylor expansion of -1 in re 1.406 * [backup-simplify]: Simplify -1 into -1 1.406 * [taylor]: Taking taylor expansion of re in re 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (/ -1 1) into -1 1.406 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.406 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.406 * [taylor]: Taking taylor expansion of -1 in re 1.406 * [backup-simplify]: Simplify -1 into -1 1.406 * [taylor]: Taking taylor expansion of im in re 1.406 * [backup-simplify]: Simplify im into im 1.406 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.406 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.406 * [taylor]: Taking taylor expansion of -1 in re 1.406 * [backup-simplify]: Simplify -1 into -1 1.406 * [taylor]: Taking taylor expansion of im in re 1.406 * [backup-simplify]: Simplify im into im 1.406 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.407 * [backup-simplify]: Simplify (* -1 -1) into 1 1.407 * [backup-simplify]: Simplify (+ 1 0) into 1 1.408 * [backup-simplify]: Simplify (sqrt 1) into 1 1.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.411 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.411 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.411 * [taylor]: Taking taylor expansion of -1 in re 1.411 * [backup-simplify]: Simplify -1 into -1 1.411 * [taylor]: Taking taylor expansion of re in re 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [backup-simplify]: Simplify (/ -1 1) into -1 1.411 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.411 * [taylor]: Taking taylor expansion of -1 in re 1.411 * [backup-simplify]: Simplify -1 into -1 1.411 * [taylor]: Taking taylor expansion of re in re 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [backup-simplify]: Simplify (/ -1 1) into -1 1.412 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.412 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.412 * [taylor]: Taking taylor expansion of -1 in re 1.412 * [backup-simplify]: Simplify -1 into -1 1.412 * [taylor]: Taking taylor expansion of im in re 1.412 * [backup-simplify]: Simplify im into im 1.412 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.412 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.412 * [taylor]: Taking taylor expansion of -1 in re 1.412 * [backup-simplify]: Simplify -1 into -1 1.412 * [taylor]: Taking taylor expansion of im in re 1.412 * [backup-simplify]: Simplify im into im 1.412 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.413 * [backup-simplify]: Simplify (* -1 -1) into 1 1.413 * [backup-simplify]: Simplify (+ 1 0) into 1 1.413 * [backup-simplify]: Simplify (sqrt 1) into 1 1.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.417 * [taylor]: Taking taylor expansion of 1 in im 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of 0 in im 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.420 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.420 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.421 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.422 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.422 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.422 * [taylor]: Taking taylor expansion of 1/2 in im 1.422 * [backup-simplify]: Simplify 1/2 into 1/2 1.422 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.422 * [taylor]: Taking taylor expansion of im in im 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (* 1 1) into 1 1.423 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.428 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.428 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.428 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.429 * [taylor]: Taking taylor expansion of 0 in im 1.429 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.432 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.432 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 1.432 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.432 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.432 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.432 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.432 * [taylor]: Taking taylor expansion of (* re re) in im 1.432 * [taylor]: Taking taylor expansion of re in im 1.432 * [backup-simplify]: Simplify re into re 1.432 * [taylor]: Taking taylor expansion of re in im 1.432 * [backup-simplify]: Simplify re into re 1.432 * [taylor]: Taking taylor expansion of (* im im) in im 1.432 * [taylor]: Taking taylor expansion of im in im 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [taylor]: Taking taylor expansion of im in im 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.433 * [backup-simplify]: Simplify (* 0 0) into 0 1.433 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.433 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.433 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.433 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.433 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.433 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.434 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.434 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.434 * [taylor]: Taking taylor expansion of (* re re) in re 1.434 * [taylor]: Taking taylor expansion of re in re 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [taylor]: Taking taylor expansion of re in re 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [taylor]: Taking taylor expansion of (* im im) in re 1.434 * [taylor]: Taking taylor expansion of im in re 1.434 * [backup-simplify]: Simplify im into im 1.434 * [taylor]: Taking taylor expansion of im in re 1.434 * [backup-simplify]: Simplify im into im 1.434 * [backup-simplify]: Simplify (* 0 0) into 0 1.434 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.434 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.434 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.435 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.435 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.436 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.436 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.436 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.436 * [taylor]: Taking taylor expansion of (* re re) in re 1.436 * [taylor]: Taking taylor expansion of re in re 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [taylor]: Taking taylor expansion of re in re 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [taylor]: Taking taylor expansion of (* im im) in re 1.436 * [taylor]: Taking taylor expansion of im in re 1.436 * [backup-simplify]: Simplify im into im 1.436 * [taylor]: Taking taylor expansion of im in re 1.436 * [backup-simplify]: Simplify im into im 1.436 * [backup-simplify]: Simplify (* 0 0) into 0 1.436 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.436 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.436 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.437 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.437 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.437 * [taylor]: Taking taylor expansion of im in im 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [taylor]: Taking taylor expansion of 0 in im 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.438 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.439 * [backup-simplify]: Simplify (+ 1 0) into 1 1.439 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.439 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.439 * [taylor]: Taking taylor expansion of 1/2 in im 1.439 * [backup-simplify]: Simplify 1/2 into 1/2 1.439 * [taylor]: Taking taylor expansion of im in im 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.440 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.443 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.443 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.443 * [taylor]: Taking taylor expansion of 0 in im 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.445 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 1.445 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.445 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.445 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.445 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.445 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.445 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.445 * [taylor]: Taking taylor expansion of re in im 1.445 * [backup-simplify]: Simplify re into re 1.445 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.445 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.445 * [taylor]: Taking taylor expansion of re in im 1.445 * [backup-simplify]: Simplify re into re 1.445 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.445 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.445 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.445 * [taylor]: Taking taylor expansion of im in im 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.446 * [backup-simplify]: Simplify (/ 1 1) into 1 1.446 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.446 * [taylor]: Taking taylor expansion of im in im 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.446 * [backup-simplify]: Simplify (/ 1 1) into 1 1.446 * [backup-simplify]: Simplify (* 1 1) into 1 1.447 * [backup-simplify]: Simplify (+ 0 1) into 1 1.447 * [backup-simplify]: Simplify (sqrt 1) into 1 1.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.449 * [backup-simplify]: Simplify (+ 0 0) into 0 1.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.450 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.450 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.450 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.450 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.450 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.450 * [taylor]: Taking taylor expansion of re in re 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.451 * [backup-simplify]: Simplify (/ 1 1) into 1 1.451 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 1 into 1 1.451 * [backup-simplify]: Simplify (/ 1 1) into 1 1.451 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.451 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.451 * [taylor]: Taking taylor expansion of im in re 1.451 * [backup-simplify]: Simplify im into im 1.451 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.451 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.451 * [taylor]: Taking taylor expansion of im in re 1.451 * [backup-simplify]: Simplify im into im 1.451 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.452 * [backup-simplify]: Simplify (* 1 1) into 1 1.453 * [backup-simplify]: Simplify (+ 1 0) into 1 1.453 * [backup-simplify]: Simplify (sqrt 1) into 1 1.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.455 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.456 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.456 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.456 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.456 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.456 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.456 * [taylor]: Taking taylor expansion of re in re 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (/ 1 1) into 1 1.457 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.457 * [taylor]: Taking taylor expansion of re in re 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (/ 1 1) into 1 1.457 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.457 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.457 * [taylor]: Taking taylor expansion of im in re 1.457 * [backup-simplify]: Simplify im into im 1.457 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.457 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.457 * [taylor]: Taking taylor expansion of im in re 1.457 * [backup-simplify]: Simplify im into im 1.457 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.458 * [backup-simplify]: Simplify (* 1 1) into 1 1.458 * [backup-simplify]: Simplify (+ 1 0) into 1 1.458 * [backup-simplify]: Simplify (sqrt 1) into 1 1.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.461 * [taylor]: Taking taylor expansion of 1 in im 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [taylor]: Taking taylor expansion of 0 in im 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.464 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.464 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.465 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.465 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.465 * [taylor]: Taking taylor expansion of 1/2 in im 1.466 * [backup-simplify]: Simplify 1/2 into 1/2 1.466 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.466 * [taylor]: Taking taylor expansion of im in im 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (* 1 1) into 1 1.466 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.471 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.472 * [taylor]: Taking taylor expansion of 0 in im 1.472 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.474 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 1.474 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.474 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.474 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.474 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.474 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.475 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.475 * [taylor]: Taking taylor expansion of -1 in im 1.475 * [backup-simplify]: Simplify -1 into -1 1.475 * [taylor]: Taking taylor expansion of re in im 1.475 * [backup-simplify]: Simplify re into re 1.475 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.475 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.475 * [taylor]: Taking taylor expansion of -1 in im 1.475 * [backup-simplify]: Simplify -1 into -1 1.475 * [taylor]: Taking taylor expansion of re in im 1.475 * [backup-simplify]: Simplify re into re 1.475 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.475 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.475 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.475 * [taylor]: Taking taylor expansion of -1 in im 1.475 * [backup-simplify]: Simplify -1 into -1 1.475 * [taylor]: Taking taylor expansion of im in im 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (/ -1 1) into -1 1.475 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.476 * [taylor]: Taking taylor expansion of -1 in im 1.476 * [backup-simplify]: Simplify -1 into -1 1.476 * [taylor]: Taking taylor expansion of im in im 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [backup-simplify]: Simplify (/ -1 1) into -1 1.476 * [backup-simplify]: Simplify (* -1 -1) into 1 1.477 * [backup-simplify]: Simplify (+ 0 1) into 1 1.477 * [backup-simplify]: Simplify (sqrt 1) into 1 1.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.481 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.481 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.481 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.481 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.481 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.481 * [taylor]: Taking taylor expansion of -1 in re 1.481 * [backup-simplify]: Simplify -1 into -1 1.481 * [taylor]: Taking taylor expansion of re in re 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [backup-simplify]: Simplify (/ -1 1) into -1 1.481 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.481 * [taylor]: Taking taylor expansion of -1 in re 1.481 * [backup-simplify]: Simplify -1 into -1 1.481 * [taylor]: Taking taylor expansion of re in re 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (/ -1 1) into -1 1.482 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.482 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.482 * [taylor]: Taking taylor expansion of -1 in re 1.482 * [backup-simplify]: Simplify -1 into -1 1.482 * [taylor]: Taking taylor expansion of im in re 1.482 * [backup-simplify]: Simplify im into im 1.482 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.482 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.482 * [taylor]: Taking taylor expansion of -1 in re 1.482 * [backup-simplify]: Simplify -1 into -1 1.482 * [taylor]: Taking taylor expansion of im in re 1.482 * [backup-simplify]: Simplify im into im 1.482 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.483 * [backup-simplify]: Simplify (* -1 -1) into 1 1.483 * [backup-simplify]: Simplify (+ 1 0) into 1 1.484 * [backup-simplify]: Simplify (sqrt 1) into 1 1.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.486 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.486 * [backup-simplify]: Simplify (+ 0 0) into 0 1.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.487 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.487 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.487 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.487 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.487 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.487 * [taylor]: Taking taylor expansion of -1 in re 1.487 * [backup-simplify]: Simplify -1 into -1 1.487 * [taylor]: Taking taylor expansion of re in re 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (/ -1 1) into -1 1.488 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.488 * [taylor]: Taking taylor expansion of -1 in re 1.488 * [backup-simplify]: Simplify -1 into -1 1.488 * [taylor]: Taking taylor expansion of re in re 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (/ -1 1) into -1 1.488 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.488 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.488 * [taylor]: Taking taylor expansion of -1 in re 1.488 * [backup-simplify]: Simplify -1 into -1 1.488 * [taylor]: Taking taylor expansion of im in re 1.488 * [backup-simplify]: Simplify im into im 1.489 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.489 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.489 * [taylor]: Taking taylor expansion of -1 in re 1.489 * [backup-simplify]: Simplify -1 into -1 1.489 * [taylor]: Taking taylor expansion of im in re 1.489 * [backup-simplify]: Simplify im into im 1.489 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.489 * [backup-simplify]: Simplify (* -1 -1) into 1 1.489 * [backup-simplify]: Simplify (+ 1 0) into 1 1.490 * [backup-simplify]: Simplify (sqrt 1) into 1 1.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.493 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.493 * [taylor]: Taking taylor expansion of 1 in im 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [taylor]: Taking taylor expansion of 0 in im 1.493 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 1 into 1 1.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.497 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.497 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.498 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.498 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.498 * [taylor]: Taking taylor expansion of 1/2 in im 1.498 * [backup-simplify]: Simplify 1/2 into 1/2 1.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.498 * [taylor]: Taking taylor expansion of im in im 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.499 * [backup-simplify]: Simplify (* 1 1) into 1 1.499 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.512 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.512 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.512 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.512 * [backup-simplify]: Simplify (+ 0 0) into 0 1.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.513 * [taylor]: Taking taylor expansion of 0 in im 1.513 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.516 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.516 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 1.516 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.516 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.516 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.516 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.516 * [taylor]: Taking taylor expansion of (* re re) in im 1.516 * [taylor]: Taking taylor expansion of re in im 1.516 * [backup-simplify]: Simplify re into re 1.516 * [taylor]: Taking taylor expansion of re in im 1.516 * [backup-simplify]: Simplify re into re 1.516 * [taylor]: Taking taylor expansion of (* im im) in im 1.516 * [taylor]: Taking taylor expansion of im in im 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [taylor]: Taking taylor expansion of im in im 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.517 * [backup-simplify]: Simplify (* 0 0) into 0 1.517 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.517 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.517 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.518 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.518 * [backup-simplify]: Simplify (+ 0 0) into 0 1.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.518 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.518 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.518 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.518 * [taylor]: Taking taylor expansion of (* re re) in re 1.518 * [taylor]: Taking taylor expansion of re in re 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [taylor]: Taking taylor expansion of re in re 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [taylor]: Taking taylor expansion of (* im im) in re 1.518 * [taylor]: Taking taylor expansion of im in re 1.518 * [backup-simplify]: Simplify im into im 1.518 * [taylor]: Taking taylor expansion of im in re 1.518 * [backup-simplify]: Simplify im into im 1.519 * [backup-simplify]: Simplify (* 0 0) into 0 1.519 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.519 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.519 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.520 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.520 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.520 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.520 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.521 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.521 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.521 * [taylor]: Taking taylor expansion of (* re re) in re 1.521 * [taylor]: Taking taylor expansion of re in re 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.521 * [taylor]: Taking taylor expansion of re in re 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.521 * [taylor]: Taking taylor expansion of (* im im) in re 1.521 * [taylor]: Taking taylor expansion of im in re 1.521 * [backup-simplify]: Simplify im into im 1.521 * [taylor]: Taking taylor expansion of im in re 1.521 * [backup-simplify]: Simplify im into im 1.521 * [backup-simplify]: Simplify (* 0 0) into 0 1.521 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.521 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.522 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.522 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.523 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.524 * [taylor]: Taking taylor expansion of im in im 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [taylor]: Taking taylor expansion of 0 in im 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.525 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.526 * [backup-simplify]: Simplify (+ 1 0) into 1 1.527 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.527 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.527 * [taylor]: Taking taylor expansion of 1/2 in im 1.527 * [backup-simplify]: Simplify 1/2 into 1/2 1.527 * [taylor]: Taking taylor expansion of im in im 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.531 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.531 * [backup-simplify]: Simplify (+ 0 0) into 0 1.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.531 * [taylor]: Taking taylor expansion of 0 in im 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.533 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 1.533 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.533 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.533 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.533 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.533 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.533 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.533 * [taylor]: Taking taylor expansion of re in im 1.533 * [backup-simplify]: Simplify re into re 1.533 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.533 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.533 * [taylor]: Taking taylor expansion of re in im 1.533 * [backup-simplify]: Simplify re into re 1.533 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.533 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.533 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.533 * [taylor]: Taking taylor expansion of im in im 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (/ 1 1) into 1 1.534 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.534 * [taylor]: Taking taylor expansion of im in im 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (/ 1 1) into 1 1.535 * [backup-simplify]: Simplify (* 1 1) into 1 1.535 * [backup-simplify]: Simplify (+ 0 1) into 1 1.536 * [backup-simplify]: Simplify (sqrt 1) into 1 1.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.538 * [backup-simplify]: Simplify (+ 0 0) into 0 1.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.539 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.539 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.539 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.539 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.539 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.539 * [taylor]: Taking taylor expansion of re in re 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (/ 1 1) into 1 1.540 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.540 * [taylor]: Taking taylor expansion of re in re 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (/ 1 1) into 1 1.540 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.540 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.540 * [taylor]: Taking taylor expansion of im in re 1.540 * [backup-simplify]: Simplify im into im 1.540 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.540 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.540 * [taylor]: Taking taylor expansion of im in re 1.540 * [backup-simplify]: Simplify im into im 1.540 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.541 * [backup-simplify]: Simplify (* 1 1) into 1 1.541 * [backup-simplify]: Simplify (+ 1 0) into 1 1.542 * [backup-simplify]: Simplify (sqrt 1) into 1 1.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.545 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.545 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.545 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.545 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.545 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.545 * [taylor]: Taking taylor expansion of re in re 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (/ 1 1) into 1 1.546 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.546 * [taylor]: Taking taylor expansion of re in re 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (/ 1 1) into 1 1.546 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.546 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.546 * [taylor]: Taking taylor expansion of im in re 1.547 * [backup-simplify]: Simplify im into im 1.547 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.547 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.547 * [taylor]: Taking taylor expansion of im in re 1.547 * [backup-simplify]: Simplify im into im 1.547 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.547 * [backup-simplify]: Simplify (* 1 1) into 1 1.548 * [backup-simplify]: Simplify (+ 1 0) into 1 1.548 * [backup-simplify]: Simplify (sqrt 1) into 1 1.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.552 * [taylor]: Taking taylor expansion of 1 in im 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [taylor]: Taking taylor expansion of 0 in im 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.555 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.555 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.557 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.557 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.557 * [taylor]: Taking taylor expansion of 1/2 in im 1.557 * [backup-simplify]: Simplify 1/2 into 1/2 1.557 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.557 * [taylor]: Taking taylor expansion of im in im 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [backup-simplify]: Simplify (* 1 1) into 1 1.558 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.563 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.564 * [backup-simplify]: Simplify (+ 0 0) into 0 1.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.564 * [taylor]: Taking taylor expansion of 0 in im 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.567 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 1.567 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.567 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.567 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.567 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.567 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.567 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.567 * [taylor]: Taking taylor expansion of -1 in im 1.567 * [backup-simplify]: Simplify -1 into -1 1.567 * [taylor]: Taking taylor expansion of re in im 1.567 * [backup-simplify]: Simplify re into re 1.567 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.567 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.567 * [taylor]: Taking taylor expansion of -1 in im 1.567 * [backup-simplify]: Simplify -1 into -1 1.568 * [taylor]: Taking taylor expansion of re in im 1.568 * [backup-simplify]: Simplify re into re 1.568 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.568 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.568 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.568 * [taylor]: Taking taylor expansion of -1 in im 1.568 * [backup-simplify]: Simplify -1 into -1 1.568 * [taylor]: Taking taylor expansion of im in im 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.568 * [backup-simplify]: Simplify (/ -1 1) into -1 1.568 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.568 * [taylor]: Taking taylor expansion of -1 in im 1.568 * [backup-simplify]: Simplify -1 into -1 1.568 * [taylor]: Taking taylor expansion of im in im 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (/ -1 1) into -1 1.569 * [backup-simplify]: Simplify (* -1 -1) into 1 1.570 * [backup-simplify]: Simplify (+ 0 1) into 1 1.570 * [backup-simplify]: Simplify (sqrt 1) into 1 1.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.574 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.574 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.574 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.574 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.574 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.574 * [taylor]: Taking taylor expansion of -1 in re 1.574 * [backup-simplify]: Simplify -1 into -1 1.574 * [taylor]: Taking taylor expansion of re in re 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (/ -1 1) into -1 1.575 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.575 * [taylor]: Taking taylor expansion of -1 in re 1.575 * [backup-simplify]: Simplify -1 into -1 1.575 * [taylor]: Taking taylor expansion of re in re 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (/ -1 1) into -1 1.575 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.575 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.575 * [taylor]: Taking taylor expansion of -1 in re 1.575 * [backup-simplify]: Simplify -1 into -1 1.575 * [taylor]: Taking taylor expansion of im in re 1.575 * [backup-simplify]: Simplify im into im 1.576 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.576 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.576 * [taylor]: Taking taylor expansion of -1 in re 1.576 * [backup-simplify]: Simplify -1 into -1 1.576 * [taylor]: Taking taylor expansion of im in re 1.576 * [backup-simplify]: Simplify im into im 1.576 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.576 * [backup-simplify]: Simplify (* -1 -1) into 1 1.577 * [backup-simplify]: Simplify (+ 1 0) into 1 1.577 * [backup-simplify]: Simplify (sqrt 1) into 1 1.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.579 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.581 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.581 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.581 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.581 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.581 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.581 * [taylor]: Taking taylor expansion of -1 in re 1.581 * [backup-simplify]: Simplify -1 into -1 1.581 * [taylor]: Taking taylor expansion of re in re 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (/ -1 1) into -1 1.581 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.581 * [taylor]: Taking taylor expansion of -1 in re 1.581 * [backup-simplify]: Simplify -1 into -1 1.582 * [taylor]: Taking taylor expansion of re in re 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [backup-simplify]: Simplify (/ -1 1) into -1 1.582 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.582 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.582 * [taylor]: Taking taylor expansion of -1 in re 1.582 * [backup-simplify]: Simplify -1 into -1 1.582 * [taylor]: Taking taylor expansion of im in re 1.582 * [backup-simplify]: Simplify im into im 1.582 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.582 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.582 * [taylor]: Taking taylor expansion of -1 in re 1.582 * [backup-simplify]: Simplify -1 into -1 1.582 * [taylor]: Taking taylor expansion of im in re 1.582 * [backup-simplify]: Simplify im into im 1.582 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.583 * [backup-simplify]: Simplify (* -1 -1) into 1 1.583 * [backup-simplify]: Simplify (+ 1 0) into 1 1.584 * [backup-simplify]: Simplify (sqrt 1) into 1 1.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.587 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.588 * [taylor]: Taking taylor expansion of 1 in im 1.588 * [backup-simplify]: Simplify 1 into 1 1.588 * [taylor]: Taking taylor expansion of 0 in im 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.591 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.591 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.592 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.592 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.592 * [taylor]: Taking taylor expansion of 1/2 in im 1.592 * [backup-simplify]: Simplify 1/2 into 1/2 1.592 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.592 * [taylor]: Taking taylor expansion of im in im 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (* 1 1) into 1 1.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.598 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.598 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.598 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.599 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.600 * [taylor]: Taking taylor expansion of 0 in im 1.600 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.602 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.602 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im)) 1.602 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 1.602 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.602 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.602 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.602 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.602 * [taylor]: Taking taylor expansion of (* re re) in im 1.602 * [taylor]: Taking taylor expansion of re in im 1.602 * [backup-simplify]: Simplify re into re 1.602 * [taylor]: Taking taylor expansion of re in im 1.602 * [backup-simplify]: Simplify re into re 1.602 * [taylor]: Taking taylor expansion of (* im im) in im 1.602 * [taylor]: Taking taylor expansion of im in im 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.603 * [taylor]: Taking taylor expansion of im in im 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.603 * [backup-simplify]: Simplify (* 0 0) into 0 1.603 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.603 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.603 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.604 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.605 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 1.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 1.605 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.605 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.605 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.605 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.605 * [taylor]: Taking taylor expansion of (* re re) in re 1.605 * [taylor]: Taking taylor expansion of re in re 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [taylor]: Taking taylor expansion of re in re 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [taylor]: Taking taylor expansion of (* im im) in re 1.605 * [taylor]: Taking taylor expansion of im in re 1.605 * [backup-simplify]: Simplify im into im 1.605 * [taylor]: Taking taylor expansion of im in re 1.605 * [backup-simplify]: Simplify im into im 1.605 * [backup-simplify]: Simplify (* 0 0) into 0 1.606 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.606 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.606 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.606 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.607 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.607 * [backup-simplify]: Simplify (+ 0 0) into 0 1.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.607 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 1.607 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.607 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.607 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.607 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.607 * [taylor]: Taking taylor expansion of (* re re) in re 1.607 * [taylor]: Taking taylor expansion of re in re 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [taylor]: Taking taylor expansion of re in re 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.608 * [taylor]: Taking taylor expansion of (* im im) in re 1.608 * [taylor]: Taking taylor expansion of im in re 1.608 * [backup-simplify]: Simplify im into im 1.608 * [taylor]: Taking taylor expansion of im in re 1.608 * [backup-simplify]: Simplify im into im 1.608 * [backup-simplify]: Simplify (* 0 0) into 0 1.608 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.608 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.608 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.609 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.609 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.609 * [backup-simplify]: Simplify (+ 0 0) into 0 1.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.610 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 1.610 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.610 * [taylor]: Taking taylor expansion of im in im 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (sqrt 0) into 0 1.612 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in im 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.614 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.614 * [backup-simplify]: Simplify (+ 1 0) into 1 1.615 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.616 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 1.616 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 1.616 * [taylor]: Taking taylor expansion of 1/4 in im 1.616 * [backup-simplify]: Simplify 1/4 into 1/4 1.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.616 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.616 * [taylor]: Taking taylor expansion of im in im 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.617 * [backup-simplify]: Simplify (* 1 1) into 1 1.617 * [backup-simplify]: Simplify (* 1 1) into 1 1.617 * [backup-simplify]: Simplify (/ 1 1) into 1 1.618 * [backup-simplify]: Simplify (sqrt 0) into 0 1.619 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.627 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.628 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.628 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.631 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.631 * [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)))))) 1.631 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im))) 1.632 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.632 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.632 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.632 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.632 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.632 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.632 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.632 * [taylor]: Taking taylor expansion of re in im 1.632 * [backup-simplify]: Simplify re into re 1.632 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.632 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.632 * [taylor]: Taking taylor expansion of re in im 1.632 * [backup-simplify]: Simplify re into re 1.632 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.632 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.632 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.632 * [taylor]: Taking taylor expansion of im in im 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [backup-simplify]: Simplify (/ 1 1) into 1 1.632 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.632 * [taylor]: Taking taylor expansion of im in im 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [backup-simplify]: Simplify (* 1 1) into 1 1.634 * [backup-simplify]: Simplify (+ 0 1) into 1 1.634 * [backup-simplify]: Simplify (sqrt 1) into 1 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.636 * [backup-simplify]: Simplify (+ 0 0) into 0 1.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.637 * [backup-simplify]: Simplify (sqrt 0) into 0 1.638 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.638 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.638 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.638 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.638 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.638 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.638 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.639 * [taylor]: Taking taylor expansion of re in re 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (/ 1 1) into 1 1.639 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.639 * [taylor]: Taking taylor expansion of re in re 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (/ 1 1) into 1 1.639 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.639 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.639 * [taylor]: Taking taylor expansion of im in re 1.639 * [backup-simplify]: Simplify im into im 1.639 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.640 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.640 * [taylor]: Taking taylor expansion of im in re 1.640 * [backup-simplify]: Simplify im into im 1.640 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.640 * [backup-simplify]: Simplify (* 1 1) into 1 1.640 * [backup-simplify]: Simplify (+ 1 0) into 1 1.641 * [backup-simplify]: Simplify (sqrt 1) into 1 1.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.644 * [backup-simplify]: Simplify (sqrt 0) into 0 1.645 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.645 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.645 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.645 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.645 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.645 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.645 * [taylor]: Taking taylor expansion of re in re 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.646 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.646 * [taylor]: Taking taylor expansion of re in re 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.646 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.646 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.646 * [taylor]: Taking taylor expansion of im in re 1.646 * [backup-simplify]: Simplify im into im 1.646 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.646 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.646 * [taylor]: Taking taylor expansion of im in re 1.646 * [backup-simplify]: Simplify im into im 1.646 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.647 * [backup-simplify]: Simplify (* 1 1) into 1 1.647 * [backup-simplify]: Simplify (+ 1 0) into 1 1.647 * [backup-simplify]: Simplify (sqrt 1) into 1 1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.653 * [backup-simplify]: Simplify (sqrt 0) into 0 1.654 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.654 * [taylor]: Taking taylor expansion of 0 in im 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [taylor]: Taking taylor expansion of +nan.0 in im 1.655 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.655 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.658 * [taylor]: Taking taylor expansion of +nan.0 in im 1.658 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.658 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.658 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.661 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.661 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.668 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.671 * [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)) 1.671 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.671 * [taylor]: Taking taylor expansion of +nan.0 in im 1.671 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.671 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.671 * [taylor]: Taking taylor expansion of 1/2 in im 1.671 * [backup-simplify]: Simplify 1/2 into 1/2 1.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.671 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.671 * [taylor]: Taking taylor expansion of im in im 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (* 1 1) into 1 1.672 * [backup-simplify]: Simplify (/ 1 1) into 1 1.672 * [taylor]: Taking taylor expansion of +nan.0 in im 1.672 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.675 * [backup-simplify]: Simplify (+ 0 0) into 0 1.675 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.676 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.677 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.681 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.683 * [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))) 1.683 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.683 * [taylor]: Taking taylor expansion of +nan.0 in im 1.683 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.683 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.683 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.683 * [taylor]: Taking taylor expansion of +nan.0 in im 1.683 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.683 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.683 * [taylor]: Taking taylor expansion of im in im 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (* 1 1) into 1 1.684 * [backup-simplify]: Simplify (/ 1 1) into 1 1.684 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.684 * [taylor]: Taking taylor expansion of +nan.0 in im 1.684 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.687 * [backup-simplify]: Simplify (+ 0 0) into 0 1.687 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 1.688 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.688 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.692 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.693 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.696 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 1.696 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.697 * [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))))) 1.697 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im))) 1.697 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.697 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.697 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.697 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.697 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.697 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.697 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.697 * [taylor]: Taking taylor expansion of -1 in im 1.697 * [backup-simplify]: Simplify -1 into -1 1.698 * [taylor]: Taking taylor expansion of re in im 1.698 * [backup-simplify]: Simplify re into re 1.698 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.698 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.698 * [taylor]: Taking taylor expansion of -1 in im 1.698 * [backup-simplify]: Simplify -1 into -1 1.698 * [taylor]: Taking taylor expansion of re in im 1.698 * [backup-simplify]: Simplify re into re 1.698 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.698 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.698 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.698 * [taylor]: Taking taylor expansion of -1 in im 1.698 * [backup-simplify]: Simplify -1 into -1 1.698 * [taylor]: Taking taylor expansion of im in im 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (/ -1 1) into -1 1.699 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.699 * [taylor]: Taking taylor expansion of -1 in im 1.699 * [backup-simplify]: Simplify -1 into -1 1.699 * [taylor]: Taking taylor expansion of im in im 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (/ -1 1) into -1 1.700 * [backup-simplify]: Simplify (* -1 -1) into 1 1.700 * [backup-simplify]: Simplify (+ 0 1) into 1 1.701 * [backup-simplify]: Simplify (sqrt 1) into 1 1.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.704 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.705 * [backup-simplify]: Simplify (sqrt 0) into 0 1.706 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.707 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.707 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.707 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.707 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.707 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.707 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.707 * [taylor]: Taking taylor expansion of -1 in re 1.707 * [backup-simplify]: Simplify -1 into -1 1.707 * [taylor]: Taking taylor expansion of re in re 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify (/ -1 1) into -1 1.707 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.707 * [taylor]: Taking taylor expansion of -1 in re 1.707 * [backup-simplify]: Simplify -1 into -1 1.707 * [taylor]: Taking taylor expansion of re in re 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (/ -1 1) into -1 1.708 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.708 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.708 * [taylor]: Taking taylor expansion of -1 in re 1.708 * [backup-simplify]: Simplify -1 into -1 1.708 * [taylor]: Taking taylor expansion of im in re 1.708 * [backup-simplify]: Simplify im into im 1.708 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.708 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.708 * [taylor]: Taking taylor expansion of -1 in re 1.708 * [backup-simplify]: Simplify -1 into -1 1.708 * [taylor]: Taking taylor expansion of im in re 1.708 * [backup-simplify]: Simplify im into im 1.708 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.709 * [backup-simplify]: Simplify (* -1 -1) into 1 1.709 * [backup-simplify]: Simplify (+ 1 0) into 1 1.710 * [backup-simplify]: Simplify (sqrt 1) into 1 1.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.715 * [backup-simplify]: Simplify (sqrt 0) into 0 1.716 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.716 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.716 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.717 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.717 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.717 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.717 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.717 * [taylor]: Taking taylor expansion of -1 in re 1.717 * [backup-simplify]: Simplify -1 into -1 1.717 * [taylor]: Taking taylor expansion of re in re 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (/ -1 1) into -1 1.717 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.717 * [taylor]: Taking taylor expansion of -1 in re 1.717 * [backup-simplify]: Simplify -1 into -1 1.717 * [taylor]: Taking taylor expansion of re in re 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (/ -1 1) into -1 1.718 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.718 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.718 * [taylor]: Taking taylor expansion of -1 in re 1.718 * [backup-simplify]: Simplify -1 into -1 1.718 * [taylor]: Taking taylor expansion of im in re 1.718 * [backup-simplify]: Simplify im into im 1.718 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.718 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.718 * [taylor]: Taking taylor expansion of -1 in re 1.718 * [backup-simplify]: Simplify -1 into -1 1.718 * [taylor]: Taking taylor expansion of im in re 1.718 * [backup-simplify]: Simplify im into im 1.718 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.719 * [backup-simplify]: Simplify (* -1 -1) into 1 1.719 * [backup-simplify]: Simplify (+ 1 0) into 1 1.720 * [backup-simplify]: Simplify (sqrt 1) into 1 1.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.724 * [backup-simplify]: Simplify (sqrt 0) into 0 1.725 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.726 * [taylor]: Taking taylor expansion of 0 in im 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [taylor]: Taking taylor expansion of +nan.0 in im 1.726 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.726 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.729 * [taylor]: Taking taylor expansion of +nan.0 in im 1.729 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.729 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.729 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.732 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.732 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.733 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.734 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.736 * [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)) 1.736 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.736 * [taylor]: Taking taylor expansion of +nan.0 in im 1.736 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.736 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.736 * [taylor]: Taking taylor expansion of 1/2 in im 1.736 * [backup-simplify]: Simplify 1/2 into 1/2 1.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.736 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.736 * [taylor]: Taking taylor expansion of im in im 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (* 1 1) into 1 1.737 * [backup-simplify]: Simplify (/ 1 1) into 1 1.737 * [taylor]: Taking taylor expansion of +nan.0 in im 1.737 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.738 * [backup-simplify]: Simplify (+ 0 0) into 0 1.738 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.739 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.739 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.741 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.741 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.741 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.743 * [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))) 1.743 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.743 * [taylor]: Taking taylor expansion of +nan.0 in im 1.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.743 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.743 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.743 * [taylor]: Taking taylor expansion of +nan.0 in im 1.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.743 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.743 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.743 * [taylor]: Taking taylor expansion of im in im 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.743 * [backup-simplify]: Simplify (* 1 1) into 1 1.743 * [backup-simplify]: Simplify (/ 1 1) into 1 1.743 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.743 * [taylor]: Taking taylor expansion of +nan.0 in im 1.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.745 * [backup-simplify]: Simplify (+ 0 0) into 0 1.745 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 1.745 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.746 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 1.746 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.748 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.749 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.750 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 1.750 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.751 * [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))))) 1.751 * * * [progress]: simplifying candidates 1.751 * * * * [progress]: [ 1 / 102 ] simplifiying candidate # 1.751 * * * * [progress]: [ 2 / 102 ] simplifiying candidate # 1.751 * * * * [progress]: [ 3 / 102 ] simplifiying candidate # 1.751 * * * * [progress]: [ 4 / 102 ] simplifiying candidate # 1.751 * * * * [progress]: [ 5 / 102 ] simplifiying candidate # 1.751 * * * * [progress]: [ 6 / 102 ] simplifiying 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* * * [progress]: [ 38 / 102 ] simplifiying candidate # 1.752 * * * * [progress]: [ 39 / 102 ] simplifiying candidate # 1.752 * * * * [progress]: [ 40 / 102 ] simplifiying candidate # 1.752 * * * * [progress]: [ 41 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 42 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 43 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 44 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 45 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 46 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 47 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 48 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 49 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 50 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 51 / 102 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot re im)) (sqrt (hypot re im))))))> 1.753 * * * * [progress]: [ 52 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 53 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 54 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 55 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 56 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 57 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 58 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 59 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 60 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 61 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 62 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 63 / 102 ] simplifiying candidate #real (real->posit16 (hypot re im))))))> 1.753 * * * * [progress]: [ 64 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 65 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 66 / 102 ] simplifiying candidate # 1.753 * * * * [progress]: [ 67 / 102 ] 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[progress]: [ 82 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 83 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 84 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 85 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 86 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 87 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 88 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 89 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 90 / 102 ] simplifiying candidate #real (real->posit16 (sqrt (hypot re im))))))> 1.754 * * * * [progress]: [ 91 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 92 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 93 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 94 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 95 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 96 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 97 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 98 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 99 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 100 / 102 ] simplifiying candidate # 1.754 * * * * [progress]: [ 101 / 102 ] simplifiying candidate # 1.755 * * * * [progress]: [ 102 / 102 ] simplifiying candidate # 1.755 * [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))))) 1.756 * * [simplify]: iteration 0: 89 enodes 1.787 * * [simplify]: iteration 1: 189 enodes 1.850 * * [simplify]: iteration 2: 376 enodes 2.025 * * [simplify]: iteration 3: 992 enodes 2.327 * * [simplify]: iteration 4: 2003 enodes 2.701 * * [simplify]: iteration complete: 2003 enodes 2.701 * * [simplify]: Extracting #0: cost 36 inf + 0 2.701 * * [simplify]: Extracting #1: cost 217 inf + 46 2.703 * * [simplify]: Extracting #2: cost 353 inf + 3390 2.710 * * [simplify]: Extracting #3: cost 213 inf + 26303 2.734 * * [simplify]: Extracting #4: cost 42 inf + 63663 2.758 * * [simplify]: Extracting #5: cost 1 inf + 77944 2.775 * * [simplify]: Extracting #6: cost 0 inf + 78442 2.799 * [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)) (* (cbrt (sqrt (hypot re im))) (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 (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)) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (* (sqrt (hypot re im)) (sqrt (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))) (* (sqrt (hypot re im)) (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) (fma (- +nan.0) (* im im) (* +nan.0 (- (* re re) im))) (- (fma +nan.0 (/ -1 re) (/ +nan.0 (* re re))) +nan.0) (- (fma +nan.0 (/ -1 re) (/ +nan.0 (* re re))) +nan.0) 2.802 * * * [progress]: adding candidates to table 3.540 * * [progress]: iteration 3 / 4 3.540 * * * [progress]: picking best candidate 3.545 * * * * [pick]: Picked # 3.545 * * * [progress]: localizing error 3.579 * * * [progress]: generating rewritten candidates 3.579 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.596 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.640 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.643 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.649 * * * [progress]: generating series expansions 3.649 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.649 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) into (pow (pow (hypot re im) 3) 1/4) 3.649 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 3) 1/4) in (re im) around 0 3.649 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 3) 1/4) in im 3.649 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot re im) 3)))) in im 3.649 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot re im) 3))) in im 3.649 * [taylor]: Taking taylor expansion of 1/4 in im 3.649 * [backup-simplify]: Simplify 1/4 into 1/4 3.649 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 3)) in im 3.649 * [taylor]: Taking taylor expansion of (pow (hypot re im) 3) in im 3.649 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.649 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.649 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.649 * [taylor]: Taking taylor expansion of (* re re) in im 3.649 * [taylor]: Taking taylor expansion of re in im 3.649 * [backup-simplify]: Simplify re into re 3.649 * [taylor]: Taking taylor expansion of re in im 3.649 * [backup-simplify]: Simplify re into re 3.649 * [taylor]: Taking taylor expansion of (* im im) in im 3.649 * [taylor]: Taking taylor expansion of im in im 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [taylor]: Taking taylor expansion of im in im 3.649 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify 1 into 1 3.650 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.650 * [backup-simplify]: Simplify (* 0 0) into 0 3.650 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.650 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.651 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.651 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.652 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.652 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 3.652 * [backup-simplify]: Simplify (log (pow re 3)) into (log (pow re 3)) 3.652 * [backup-simplify]: Simplify (* 1/4 (log (pow re 3))) into (* 1/4 (log (pow re 3))) 3.652 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow re 3)))) into (pow (pow re 3) 1/4) 3.652 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 3) 1/4) in re 3.652 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot re im) 3)))) in re 3.652 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot re im) 3))) in re 3.652 * [taylor]: Taking taylor expansion of 1/4 in re 3.652 * [backup-simplify]: Simplify 1/4 into 1/4 3.652 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 3)) in re 3.652 * [taylor]: Taking taylor expansion of (pow (hypot re im) 3) in re 3.652 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.652 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.652 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.652 * [taylor]: Taking taylor expansion of (* re re) in re 3.652 * [taylor]: Taking taylor expansion of re in re 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 1 into 1 3.652 * [taylor]: Taking taylor expansion of re in re 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 1 into 1 3.652 * [taylor]: Taking taylor expansion of (* im im) in re 3.653 * [taylor]: Taking taylor expansion of im in re 3.653 * [backup-simplify]: Simplify im into im 3.653 * [taylor]: Taking taylor expansion of im in re 3.653 * [backup-simplify]: Simplify im into im 3.653 * [backup-simplify]: Simplify (* 0 0) into 0 3.653 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.653 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.653 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.654 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.654 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.654 * [backup-simplify]: Simplify (+ 0 0) into 0 3.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.654 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.654 * [backup-simplify]: Simplify (* im (pow im 2)) into (pow im 3) 3.655 * [backup-simplify]: Simplify (log (pow im 3)) into (log (pow im 3)) 3.655 * [backup-simplify]: Simplify (* 1/4 (log (pow im 3))) into (* 1/4 (log (pow im 3))) 3.655 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 3)))) into (pow (pow im 3) 1/4) 3.655 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 3) 1/4) in re 3.655 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot re im) 3)))) in re 3.655 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot re im) 3))) in re 3.655 * [taylor]: Taking taylor expansion of 1/4 in re 3.655 * [backup-simplify]: Simplify 1/4 into 1/4 3.655 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 3)) in re 3.655 * [taylor]: Taking taylor expansion of (pow (hypot re im) 3) in re 3.655 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.655 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.655 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.655 * [taylor]: Taking taylor expansion of (* re re) in re 3.655 * [taylor]: Taking taylor expansion of re in re 3.655 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify 1 into 1 3.655 * [taylor]: Taking taylor expansion of re in re 3.655 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify 1 into 1 3.655 * [taylor]: Taking taylor expansion of (* im im) in re 3.655 * [taylor]: Taking taylor expansion of im in re 3.655 * [backup-simplify]: Simplify im into im 3.655 * [taylor]: Taking taylor expansion of im in re 3.655 * [backup-simplify]: Simplify im into im 3.656 * [backup-simplify]: Simplify (* 0 0) into 0 3.656 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.656 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.656 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.657 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.657 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.657 * [backup-simplify]: Simplify (+ 0 0) into 0 3.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.657 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.657 * [backup-simplify]: Simplify (* im (pow im 2)) into (pow im 3) 3.657 * [backup-simplify]: Simplify (log (pow im 3)) into (log (pow im 3)) 3.657 * [backup-simplify]: Simplify (* 1/4 (log (pow im 3))) into (* 1/4 (log (pow im 3))) 3.657 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 3)))) into (pow (pow im 3) 1/4) 3.658 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im 3.658 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im 3.658 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im 3.658 * [taylor]: Taking taylor expansion of 1/4 in im 3.658 * [backup-simplify]: Simplify 1/4 into 1/4 3.658 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im 3.658 * [taylor]: Taking taylor expansion of (pow im 3) in im 3.658 * [taylor]: Taking taylor expansion of im in im 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [backup-simplify]: Simplify (* 1 1) into 1 3.659 * [backup-simplify]: Simplify (* 1 1) into 1 3.659 * [backup-simplify]: Simplify (log 1) into 0 3.659 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 3.659 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im)) 3.659 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4) 3.659 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4) 3.660 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.660 * [backup-simplify]: Simplify (+ (* im 0) (* 0 (pow im 2))) into 0 3.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 3) 1)))) 1) into 0 3.661 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow im 3)))) into 0 3.662 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.662 * [taylor]: Taking taylor expansion of 0 in im 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.665 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 3.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0 3.666 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.667 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.667 * [backup-simplify]: Simplify (+ 1 0) into 1 3.668 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.672 * [backup-simplify]: Simplify (+ (* im (/ 1/2 im)) (+ (* 0 0) (* (/ 1/2 im) im))) into 1 3.673 * [backup-simplify]: Simplify (+ (* im 1) (+ (* 0 0) (* (/ 1/2 im) (pow im 2)))) into (* 3/2 im) 3.674 * [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)) 3.674 * [backup-simplify]: Simplify (+ (* 1/4 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 3))))) into (* 3/8 (/ 1 (pow im 2))) 3.676 * [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)) 3.676 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im 3.676 * [taylor]: Taking taylor expansion of 3/8 in im 3.676 * [backup-simplify]: Simplify 3/8 into 3/8 3.676 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im 3.676 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im 3.676 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im 3.676 * [taylor]: Taking taylor expansion of 1/4 in im 3.676 * [backup-simplify]: Simplify 1/4 into 1/4 3.676 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 3.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 3.676 * [taylor]: Taking taylor expansion of (pow im 5) in im 3.676 * [taylor]: Taking taylor expansion of im in im 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 1 into 1 3.676 * [backup-simplify]: Simplify (* 1 1) into 1 3.677 * [backup-simplify]: Simplify (* 1 1) into 1 3.677 * [backup-simplify]: Simplify (* 1 1) into 1 3.677 * [backup-simplify]: Simplify (/ 1 1) into 1 3.678 * [backup-simplify]: Simplify (log 1) into 0 3.678 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 3.678 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im)) 3.678 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4) 3.678 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 3.678 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 3.678 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.682 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.683 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 3.684 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0 3.685 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.687 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.687 * [backup-simplify]: Simplify (+ 0 0) into 0 3.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.687 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 (/ 1/2 im)) (+ (* (/ 1/2 im) 0) (* 0 im)))) into 0 3.688 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 1) (+ (* (/ 1/2 im) 0) (* 0 (pow im 2))))) into 0 3.690 * [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 3.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 3)))))) into 0 3.693 * [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 3.693 * [taylor]: Taking taylor expansion of 0 in im 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.697 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 3.697 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0 3.698 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.699 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.705 * [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 3.705 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 3.706 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0 3.708 * [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 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [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)))) 3.709 * [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) 3.709 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) in (re im) around 0 3.709 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) in im 3.709 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3)))) in im 3.709 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3))) in im 3.709 * [taylor]: Taking taylor expansion of 1/4 in im 3.709 * [backup-simplify]: Simplify 1/4 into 1/4 3.709 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 3)) in im 3.709 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 3) in im 3.709 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.709 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.709 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.709 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.709 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.709 * [taylor]: Taking taylor expansion of re in im 3.709 * [backup-simplify]: Simplify re into re 3.709 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.709 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.709 * [taylor]: Taking taylor expansion of re in im 3.709 * [backup-simplify]: Simplify re into re 3.709 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.709 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.709 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.709 * [taylor]: Taking taylor expansion of im in im 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (/ 1 1) into 1 3.710 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.710 * [taylor]: Taking taylor expansion of im in im 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (/ 1 1) into 1 3.711 * [backup-simplify]: Simplify (* 1 1) into 1 3.711 * [backup-simplify]: Simplify (+ 0 1) into 1 3.712 * [backup-simplify]: Simplify (sqrt 1) into 1 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.714 * [backup-simplify]: Simplify (+ 0 0) into 0 3.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.715 * [backup-simplify]: Simplify (* 1 1) into 1 3.715 * [backup-simplify]: Simplify (* 1 1) into 1 3.716 * [backup-simplify]: Simplify (log 1) into 0 3.716 * [backup-simplify]: Simplify (+ (* (- 3) (log im)) 0) into (- (* 3 (log im))) 3.716 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log im)))) into (* -3/4 (log im)) 3.716 * [backup-simplify]: Simplify (exp (* -3/4 (log im))) into (pow im -3/4) 3.716 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) in re 3.716 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3)))) in re 3.716 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3))) in re 3.717 * [taylor]: Taking taylor expansion of 1/4 in re 3.717 * [backup-simplify]: Simplify 1/4 into 1/4 3.717 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 3)) in re 3.717 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 3) in re 3.717 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.717 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.717 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.717 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.717 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.717 * [taylor]: Taking taylor expansion of re in re 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.717 * [backup-simplify]: Simplify (/ 1 1) into 1 3.717 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.717 * [taylor]: Taking taylor expansion of re in re 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (/ 1 1) into 1 3.718 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.718 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.718 * [taylor]: Taking taylor expansion of im in re 3.718 * [backup-simplify]: Simplify im into im 3.718 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.718 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.718 * [taylor]: Taking taylor expansion of im in re 3.718 * [backup-simplify]: Simplify im into im 3.718 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.718 * [backup-simplify]: Simplify (* 1 1) into 1 3.719 * [backup-simplify]: Simplify (+ 1 0) into 1 3.719 * [backup-simplify]: Simplify (sqrt 1) into 1 3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.722 * [backup-simplify]: Simplify (+ 0 0) into 0 3.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.723 * [backup-simplify]: Simplify (* 1 1) into 1 3.723 * [backup-simplify]: Simplify (* 1 1) into 1 3.724 * [backup-simplify]: Simplify (log 1) into 0 3.724 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 3.724 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log re)))) into (* -3/4 (log re)) 3.724 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 3.724 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) in re 3.724 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3)))) in re 3.724 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3))) in re 3.724 * [taylor]: Taking taylor expansion of 1/4 in re 3.725 * [backup-simplify]: Simplify 1/4 into 1/4 3.725 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 3)) in re 3.725 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 3) in re 3.725 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.725 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.725 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.725 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.725 * [taylor]: Taking taylor expansion of re in re 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 1 into 1 3.725 * [backup-simplify]: Simplify (/ 1 1) into 1 3.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.726 * [taylor]: Taking taylor expansion of re in re 3.726 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify 1 into 1 3.726 * [backup-simplify]: Simplify (/ 1 1) into 1 3.726 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.726 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.726 * [taylor]: Taking taylor expansion of im in re 3.726 * [backup-simplify]: Simplify im into im 3.726 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.726 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.726 * [taylor]: Taking taylor expansion of im in re 3.726 * [backup-simplify]: Simplify im into im 3.726 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.727 * [backup-simplify]: Simplify (* 1 1) into 1 3.727 * [backup-simplify]: Simplify (+ 1 0) into 1 3.727 * [backup-simplify]: Simplify (sqrt 1) into 1 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.730 * [backup-simplify]: Simplify (+ 0 0) into 0 3.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.732 * [backup-simplify]: Simplify (* 1 1) into 1 3.732 * [backup-simplify]: Simplify (* 1 1) into 1 3.732 * [backup-simplify]: Simplify (log 1) into 0 3.733 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 3.733 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log re)))) into (* -3/4 (log re)) 3.733 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 3.733 * [taylor]: Taking taylor expansion of (pow re -3/4) in im 3.733 * [taylor]: Taking taylor expansion of (exp (* -3/4 (log re))) in im 3.733 * [taylor]: Taking taylor expansion of (* -3/4 (log re)) in im 3.733 * [taylor]: Taking taylor expansion of -3/4 in im 3.733 * [backup-simplify]: Simplify -3/4 into -3/4 3.733 * [taylor]: Taking taylor expansion of (log re) in im 3.733 * [taylor]: Taking taylor expansion of re in im 3.733 * [backup-simplify]: Simplify re into re 3.733 * [backup-simplify]: Simplify (log re) into (log re) 3.734 * [backup-simplify]: Simplify (* -3/4 (log re)) into (* -3/4 (log re)) 3.734 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 3.734 * [backup-simplify]: Simplify (pow re -3/4) into (pow re -3/4) 3.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.737 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 3.737 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log re))))) into 0 3.738 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.738 * [taylor]: Taking taylor expansion of 0 in im 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.739 * [backup-simplify]: Simplify (+ (* -3/4 0) (* 0 (log re))) into 0 3.740 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.743 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.743 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.744 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.745 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2)) 3.746 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 3/2 (/ 1 (pow im 2))) 3.747 * [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)) 3.748 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 3.748 * [backup-simplify]: Simplify (+ (* 1/4 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (- (* 3 (log re)))))) into (* 3/8 (/ 1 (pow im 2))) 3.749 * [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)))) 3.749 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 3.749 * [taylor]: Taking taylor expansion of 3/8 in im 3.749 * [backup-simplify]: Simplify 3/8 into 3/8 3.749 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 3.750 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 3.750 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 3.750 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 3.750 * [taylor]: Taking taylor expansion of 1/4 in im 3.750 * [backup-simplify]: Simplify 1/4 into 1/4 3.750 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 3.750 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 3.750 * [taylor]: Taking taylor expansion of (pow re 3) in im 3.750 * [taylor]: Taking taylor expansion of re in im 3.750 * [backup-simplify]: Simplify re into re 3.750 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.750 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 3.750 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 3.750 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 3.750 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 3.750 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 3.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.750 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.750 * [taylor]: Taking taylor expansion of im in im 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (* 1 1) into 1 3.751 * [backup-simplify]: Simplify (/ 1 1) into 1 3.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.755 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.755 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 3.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 3.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 3.756 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 3.757 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.757 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.758 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 3.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 3.760 * [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 3.760 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 3.761 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.762 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 3.762 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 3.762 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 3.763 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.764 * [backup-simplify]: Simplify (+ (* -3/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 3.765 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.765 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.767 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 3.767 * [backup-simplify]: Simplify (+ 0 0) into 0 3.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 3.771 * [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 3.771 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 3.772 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (- (* 3 (log re))))))) into 0 3.773 * [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 3.773 * [taylor]: Taking taylor expansion of 0 in im 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (pow (/ 1 re) -3/4) into (pow (/ 1 re) -3/4) 3.774 * [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) 3.774 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) in (re im) around 0 3.774 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) in im 3.774 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3)))) in im 3.774 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3))) in im 3.774 * [taylor]: Taking taylor expansion of 1/4 in im 3.774 * [backup-simplify]: Simplify 1/4 into 1/4 3.774 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 3)) in im 3.774 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 3) in im 3.774 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.774 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.774 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.774 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.774 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.774 * [taylor]: Taking taylor expansion of -1 in im 3.774 * [backup-simplify]: Simplify -1 into -1 3.774 * [taylor]: Taking taylor expansion of re in im 3.774 * [backup-simplify]: Simplify re into re 3.774 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.774 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.774 * [taylor]: Taking taylor expansion of -1 in im 3.774 * [backup-simplify]: Simplify -1 into -1 3.774 * [taylor]: Taking taylor expansion of re in im 3.774 * [backup-simplify]: Simplify re into re 3.774 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.774 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.774 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.774 * [taylor]: Taking taylor expansion of -1 in im 3.774 * [backup-simplify]: Simplify -1 into -1 3.774 * [taylor]: Taking taylor expansion of im in im 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (/ -1 1) into -1 3.774 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.774 * [taylor]: Taking taylor expansion of -1 in im 3.774 * [backup-simplify]: Simplify -1 into -1 3.774 * [taylor]: Taking taylor expansion of im in im 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.775 * [backup-simplify]: Simplify (/ -1 1) into -1 3.775 * [backup-simplify]: Simplify (* -1 -1) into 1 3.775 * [backup-simplify]: Simplify (+ 0 1) into 1 3.776 * [backup-simplify]: Simplify (sqrt 1) into 1 3.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.777 * [backup-simplify]: Simplify (+ 0 0) into 0 3.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.778 * [backup-simplify]: Simplify (* 1 1) into 1 3.778 * [backup-simplify]: Simplify (* 1 1) into 1 3.778 * [backup-simplify]: Simplify (log 1) into 0 3.779 * [backup-simplify]: Simplify (+ (* (- 3) (log im)) 0) into (- (* 3 (log im))) 3.779 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log im)))) into (* -3/4 (log im)) 3.779 * [backup-simplify]: Simplify (exp (* -3/4 (log im))) into (pow im -3/4) 3.779 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) in re 3.779 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3)))) in re 3.779 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3))) in re 3.779 * [taylor]: Taking taylor expansion of 1/4 in re 3.779 * [backup-simplify]: Simplify 1/4 into 1/4 3.779 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 3)) in re 3.779 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 3) in re 3.779 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.779 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.779 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.779 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.779 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.779 * [taylor]: Taking taylor expansion of -1 in re 3.779 * [backup-simplify]: Simplify -1 into -1 3.779 * [taylor]: Taking taylor expansion of re in re 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (/ -1 1) into -1 3.779 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.779 * [taylor]: Taking taylor expansion of -1 in re 3.779 * [backup-simplify]: Simplify -1 into -1 3.779 * [taylor]: Taking taylor expansion of re in re 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (/ -1 1) into -1 3.780 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.780 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.780 * [taylor]: Taking taylor expansion of -1 in re 3.780 * [backup-simplify]: Simplify -1 into -1 3.780 * [taylor]: Taking taylor expansion of im in re 3.780 * [backup-simplify]: Simplify im into im 3.780 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.780 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.780 * [taylor]: Taking taylor expansion of -1 in re 3.780 * [backup-simplify]: Simplify -1 into -1 3.780 * [taylor]: Taking taylor expansion of im in re 3.780 * [backup-simplify]: Simplify im into im 3.780 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.780 * [backup-simplify]: Simplify (* -1 -1) into 1 3.781 * [backup-simplify]: Simplify (+ 1 0) into 1 3.781 * [backup-simplify]: Simplify (sqrt 1) into 1 3.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.782 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.782 * [backup-simplify]: Simplify (+ 0 0) into 0 3.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.783 * [backup-simplify]: Simplify (* 1 1) into 1 3.783 * [backup-simplify]: Simplify (* 1 1) into 1 3.784 * [backup-simplify]: Simplify (log 1) into 0 3.784 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 3.784 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log re)))) into (* -3/4 (log re)) 3.784 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 3.784 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) in re 3.784 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3)))) in re 3.784 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3))) in re 3.784 * [taylor]: Taking taylor expansion of 1/4 in re 3.784 * [backup-simplify]: Simplify 1/4 into 1/4 3.784 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 3)) in re 3.784 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 3) in re 3.784 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.784 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.784 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.784 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.784 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.784 * [taylor]: Taking taylor expansion of -1 in re 3.784 * [backup-simplify]: Simplify -1 into -1 3.784 * [taylor]: Taking taylor expansion of re in re 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (/ -1 1) into -1 3.785 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.785 * [taylor]: Taking taylor expansion of -1 in re 3.785 * [backup-simplify]: Simplify -1 into -1 3.785 * [taylor]: Taking taylor expansion of re in re 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (/ -1 1) into -1 3.785 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.785 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.785 * [taylor]: Taking taylor expansion of -1 in re 3.785 * [backup-simplify]: Simplify -1 into -1 3.785 * [taylor]: Taking taylor expansion of im in re 3.785 * [backup-simplify]: Simplify im into im 3.785 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.785 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.785 * [taylor]: Taking taylor expansion of -1 in re 3.785 * [backup-simplify]: Simplify -1 into -1 3.785 * [taylor]: Taking taylor expansion of im in re 3.785 * [backup-simplify]: Simplify im into im 3.785 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.785 * [backup-simplify]: Simplify (* -1 -1) into 1 3.786 * [backup-simplify]: Simplify (+ 1 0) into 1 3.786 * [backup-simplify]: Simplify (sqrt 1) into 1 3.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.788 * [backup-simplify]: Simplify (+ 0 0) into 0 3.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.788 * [backup-simplify]: Simplify (* 1 1) into 1 3.788 * [backup-simplify]: Simplify (* 1 1) into 1 3.789 * [backup-simplify]: Simplify (log 1) into 0 3.789 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 3.789 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log re)))) into (* -3/4 (log re)) 3.789 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 3.789 * [taylor]: Taking taylor expansion of (pow re -3/4) in im 3.789 * [taylor]: Taking taylor expansion of (exp (* -3/4 (log re))) in im 3.789 * [taylor]: Taking taylor expansion of (* -3/4 (log re)) in im 3.789 * [taylor]: Taking taylor expansion of -3/4 in im 3.789 * [backup-simplify]: Simplify -3/4 into -3/4 3.789 * [taylor]: Taking taylor expansion of (log re) in im 3.789 * [taylor]: Taking taylor expansion of re in im 3.789 * [backup-simplify]: Simplify re into re 3.789 * [backup-simplify]: Simplify (log re) into (log re) 3.789 * [backup-simplify]: Simplify (* -3/4 (log re)) into (* -3/4 (log re)) 3.789 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 3.789 * [backup-simplify]: Simplify (pow re -3/4) into (pow re -3/4) 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.795 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 3.796 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log re))))) into 0 3.797 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.797 * [taylor]: Taking taylor expansion of 0 in im 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.798 * [backup-simplify]: Simplify (+ (* -3/4 0) (* 0 (log re))) into 0 3.799 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.799 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.802 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.802 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.802 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.803 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.804 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2)) 3.805 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 3/2 (/ 1 (pow im 2))) 3.807 * [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)) 3.807 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 3.808 * [backup-simplify]: Simplify (+ (* 1/4 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (- (* 3 (log re)))))) into (* 3/8 (/ 1 (pow im 2))) 3.808 * [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)))) 3.808 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 3.808 * [taylor]: Taking taylor expansion of 3/8 in im 3.808 * [backup-simplify]: Simplify 3/8 into 3/8 3.808 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 3.808 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 3.808 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 3.808 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 3.808 * [taylor]: Taking taylor expansion of 1/4 in im 3.808 * [backup-simplify]: Simplify 1/4 into 1/4 3.808 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 3.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 3.808 * [taylor]: Taking taylor expansion of (pow re 3) in im 3.808 * [taylor]: Taking taylor expansion of re in im 3.808 * [backup-simplify]: Simplify re into re 3.808 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.808 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 3.809 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 3.809 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 3.809 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 3.809 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 3.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.809 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.809 * [taylor]: Taking taylor expansion of im in im 3.809 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify 1 into 1 3.809 * [backup-simplify]: Simplify (* 1 1) into 1 3.809 * [backup-simplify]: Simplify (/ 1 1) into 1 3.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.811 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.811 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 3.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 3.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 3.812 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 3.813 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.813 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.813 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 3.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 3.815 * [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 3.815 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 3.816 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.816 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 3.817 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 3.817 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 3.818 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.820 * [backup-simplify]: Simplify (+ (* -3/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 3.821 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.821 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.824 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.824 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.825 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.825 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.825 * [backup-simplify]: Simplify (+ 0 0) into 0 3.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 3.829 * [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 3.830 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 3.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (- (* 3 (log re))))))) into 0 3.832 * [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 3.832 * [taylor]: Taking taylor expansion of 0 in im 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -3/4) into (pow (/ -1 re) -3/4) 3.832 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.832 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) into (hypot re im) 3.832 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 3.832 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.832 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.832 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.832 * [taylor]: Taking taylor expansion of (* re re) in im 3.832 * [taylor]: Taking taylor expansion of re in im 3.832 * [backup-simplify]: Simplify re into re 3.832 * [taylor]: Taking taylor expansion of re in im 3.832 * [backup-simplify]: Simplify re into re 3.832 * [taylor]: Taking taylor expansion of (* im im) in im 3.832 * [taylor]: Taking taylor expansion of im in im 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [taylor]: Taking taylor expansion of im in im 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.833 * [backup-simplify]: Simplify (* 0 0) into 0 3.833 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.833 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.833 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.834 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.834 * [backup-simplify]: Simplify (+ 0 0) into 0 3.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.834 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.834 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.834 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.834 * [taylor]: Taking taylor expansion of (* re re) in re 3.834 * [taylor]: Taking taylor expansion of re in re 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [taylor]: Taking taylor expansion of re in re 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [taylor]: Taking taylor expansion of (* im im) in re 3.834 * [taylor]: Taking taylor expansion of im in re 3.834 * [backup-simplify]: Simplify im into im 3.834 * [taylor]: Taking taylor expansion of im in re 3.834 * [backup-simplify]: Simplify im into im 3.835 * [backup-simplify]: Simplify (* 0 0) into 0 3.835 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.835 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.835 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.835 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.836 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.836 * [backup-simplify]: Simplify (+ 0 0) into 0 3.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.836 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.836 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.836 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.836 * [taylor]: Taking taylor expansion of (* re re) in re 3.836 * [taylor]: Taking taylor expansion of re in re 3.836 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify 1 into 1 3.836 * [taylor]: Taking taylor expansion of re in re 3.836 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify 1 into 1 3.836 * [taylor]: Taking taylor expansion of (* im im) in re 3.836 * [taylor]: Taking taylor expansion of im in re 3.836 * [backup-simplify]: Simplify im into im 3.836 * [taylor]: Taking taylor expansion of im in re 3.837 * [backup-simplify]: Simplify im into im 3.837 * [backup-simplify]: Simplify (* 0 0) into 0 3.837 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.837 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.837 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.838 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.838 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.838 * [backup-simplify]: Simplify (+ 0 0) into 0 3.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.838 * [taylor]: Taking taylor expansion of im in im 3.838 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [taylor]: Taking taylor expansion of 0 in im 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.840 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.840 * [backup-simplify]: Simplify (+ 1 0) into 1 3.841 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.841 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.841 * [taylor]: Taking taylor expansion of 1/2 in im 3.841 * [backup-simplify]: Simplify 1/2 into 1/2 3.841 * [taylor]: Taking taylor expansion of im in im 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.844 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.844 * [backup-simplify]: Simplify (+ 0 0) into 0 3.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.845 * [taylor]: Taking taylor expansion of 0 in im 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.846 * [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)) 3.846 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 3.846 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.846 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.846 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.846 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.846 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.846 * [taylor]: Taking taylor expansion of re in im 3.846 * [backup-simplify]: Simplify re into re 3.846 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.846 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.846 * [taylor]: Taking taylor expansion of re in im 3.846 * [backup-simplify]: Simplify re into re 3.846 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.846 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.846 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.846 * [taylor]: Taking taylor expansion of im in im 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (/ 1 1) into 1 3.846 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.846 * [taylor]: Taking taylor expansion of im in im 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (/ 1 1) into 1 3.847 * [backup-simplify]: Simplify (* 1 1) into 1 3.847 * [backup-simplify]: Simplify (+ 0 1) into 1 3.847 * [backup-simplify]: Simplify (sqrt 1) into 1 3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.849 * [backup-simplify]: Simplify (+ 0 0) into 0 3.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.849 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.849 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.849 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.849 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.849 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.849 * [taylor]: Taking taylor expansion of re in re 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 1 into 1 3.850 * [backup-simplify]: Simplify (/ 1 1) into 1 3.850 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.850 * [taylor]: Taking taylor expansion of re in re 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [backup-simplify]: Simplify (/ 1 1) into 1 3.850 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.850 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.850 * [taylor]: Taking taylor expansion of im in re 3.850 * [backup-simplify]: Simplify im into im 3.850 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.850 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.850 * [taylor]: Taking taylor expansion of im in re 3.850 * [backup-simplify]: Simplify im into im 3.850 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.850 * [backup-simplify]: Simplify (* 1 1) into 1 3.850 * [backup-simplify]: Simplify (+ 1 0) into 1 3.851 * [backup-simplify]: Simplify (sqrt 1) into 1 3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.852 * [backup-simplify]: Simplify (+ 0 0) into 0 3.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.853 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.853 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.853 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.853 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.853 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.853 * [taylor]: Taking taylor expansion of re in re 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (/ 1 1) into 1 3.853 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.853 * [taylor]: Taking taylor expansion of re in re 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (/ 1 1) into 1 3.853 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.853 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.853 * [taylor]: Taking taylor expansion of im in re 3.853 * [backup-simplify]: Simplify im into im 3.853 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.853 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.853 * [taylor]: Taking taylor expansion of im in re 3.854 * [backup-simplify]: Simplify im into im 3.854 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.854 * [backup-simplify]: Simplify (* 1 1) into 1 3.854 * [backup-simplify]: Simplify (+ 1 0) into 1 3.854 * [backup-simplify]: Simplify (sqrt 1) into 1 3.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.856 * [backup-simplify]: Simplify (+ 0 0) into 0 3.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.856 * [taylor]: Taking taylor expansion of 1 in im 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [taylor]: Taking taylor expansion of 0 in im 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 1 into 1 3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.858 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.858 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.859 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.859 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.859 * [taylor]: Taking taylor expansion of 1/2 in im 3.859 * [backup-simplify]: Simplify 1/2 into 1/2 3.859 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.859 * [taylor]: Taking taylor expansion of im in im 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [backup-simplify]: Simplify (* 1 1) into 1 3.859 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.864 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 3.864 * [backup-simplify]: Simplify (+ 0 0) into 0 3.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.865 * [taylor]: Taking taylor expansion of 0 in im 3.865 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.867 * [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)) 3.867 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 3.867 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.867 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.867 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.867 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.867 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.867 * [taylor]: Taking taylor expansion of -1 in im 3.867 * [backup-simplify]: Simplify -1 into -1 3.867 * [taylor]: Taking taylor expansion of re in im 3.867 * [backup-simplify]: Simplify re into re 3.867 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.867 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.868 * [taylor]: Taking taylor expansion of -1 in im 3.868 * [backup-simplify]: Simplify -1 into -1 3.868 * [taylor]: Taking taylor expansion of re in im 3.868 * [backup-simplify]: Simplify re into re 3.868 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.868 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.868 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.868 * [taylor]: Taking taylor expansion of -1 in im 3.868 * [backup-simplify]: Simplify -1 into -1 3.868 * [taylor]: Taking taylor expansion of im in im 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (/ -1 1) into -1 3.868 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.868 * [taylor]: Taking taylor expansion of -1 in im 3.868 * [backup-simplify]: Simplify -1 into -1 3.868 * [taylor]: Taking taylor expansion of im in im 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (/ -1 1) into -1 3.869 * [backup-simplify]: Simplify (* -1 -1) into 1 3.869 * [backup-simplify]: Simplify (+ 0 1) into 1 3.870 * [backup-simplify]: Simplify (sqrt 1) into 1 3.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.872 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.873 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.873 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.873 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.873 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.873 * [taylor]: Taking taylor expansion of -1 in re 3.873 * [backup-simplify]: Simplify -1 into -1 3.873 * [taylor]: Taking taylor expansion of re in re 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.874 * [backup-simplify]: Simplify (/ -1 1) into -1 3.874 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.874 * [taylor]: Taking taylor expansion of -1 in re 3.874 * [backup-simplify]: Simplify -1 into -1 3.874 * [taylor]: Taking taylor expansion of re in re 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 1 into 1 3.874 * [backup-simplify]: Simplify (/ -1 1) into -1 3.874 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.874 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.874 * [taylor]: Taking taylor expansion of -1 in re 3.874 * [backup-simplify]: Simplify -1 into -1 3.874 * [taylor]: Taking taylor expansion of im in re 3.874 * [backup-simplify]: Simplify im into im 3.874 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.874 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.875 * [taylor]: Taking taylor expansion of -1 in re 3.875 * [backup-simplify]: Simplify -1 into -1 3.875 * [taylor]: Taking taylor expansion of im in re 3.875 * [backup-simplify]: Simplify im into im 3.875 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.875 * [backup-simplify]: Simplify (* -1 -1) into 1 3.875 * [backup-simplify]: Simplify (+ 1 0) into 1 3.876 * [backup-simplify]: Simplify (sqrt 1) into 1 3.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.878 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.878 * [backup-simplify]: Simplify (+ 0 0) into 0 3.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.879 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.879 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.879 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.879 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.879 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.879 * [taylor]: Taking taylor expansion of -1 in re 3.879 * [backup-simplify]: Simplify -1 into -1 3.879 * [taylor]: Taking taylor expansion of re in re 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 1 into 1 3.880 * [backup-simplify]: Simplify (/ -1 1) into -1 3.880 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.880 * [taylor]: Taking taylor expansion of -1 in re 3.880 * [backup-simplify]: Simplify -1 into -1 3.880 * [taylor]: Taking taylor expansion of re in re 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 1 into 1 3.880 * [backup-simplify]: Simplify (/ -1 1) into -1 3.880 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.880 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.880 * [taylor]: Taking taylor expansion of -1 in re 3.880 * [backup-simplify]: Simplify -1 into -1 3.880 * [taylor]: Taking taylor expansion of im in re 3.880 * [backup-simplify]: Simplify im into im 3.880 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.880 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.880 * [taylor]: Taking taylor expansion of -1 in re 3.880 * [backup-simplify]: Simplify -1 into -1 3.880 * [taylor]: Taking taylor expansion of im in re 3.881 * [backup-simplify]: Simplify im into im 3.881 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.881 * [backup-simplify]: Simplify (* -1 -1) into 1 3.881 * [backup-simplify]: Simplify (+ 1 0) into 1 3.882 * [backup-simplify]: Simplify (sqrt 1) into 1 3.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.884 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.884 * [backup-simplify]: Simplify (+ 0 0) into 0 3.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.885 * [taylor]: Taking taylor expansion of 1 in im 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [taylor]: Taking taylor expansion of 0 in im 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.888 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.888 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.889 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.889 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.889 * [taylor]: Taking taylor expansion of 1/2 in im 3.889 * [backup-simplify]: Simplify 1/2 into 1/2 3.889 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.890 * [taylor]: Taking taylor expansion of im in im 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (* 1 1) into 1 3.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.895 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.895 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.895 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.895 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.895 * [backup-simplify]: Simplify (+ 0 0) into 0 3.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.896 * [taylor]: Taking taylor expansion of 0 in im 3.896 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.898 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.898 * [backup-simplify]: Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4) 3.899 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/4) in (re im) around 0 3.899 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im 3.899 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im 3.899 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im 3.899 * [taylor]: Taking taylor expansion of 1/4 in im 3.899 * [backup-simplify]: Simplify 1/4 into 1/4 3.899 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 3.899 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.899 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.899 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.899 * [taylor]: Taking taylor expansion of (* re re) in im 3.899 * [taylor]: Taking taylor expansion of re in im 3.899 * [backup-simplify]: Simplify re into re 3.899 * [taylor]: Taking taylor expansion of re in im 3.899 * [backup-simplify]: Simplify re into re 3.899 * [taylor]: Taking taylor expansion of (* im im) in im 3.899 * [taylor]: Taking taylor expansion of im in im 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [taylor]: Taking taylor expansion of im in im 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.899 * [backup-simplify]: Simplify (* 0 0) into 0 3.900 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.900 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.900 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.900 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.901 * [backup-simplify]: Simplify (+ 0 0) into 0 3.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.901 * [backup-simplify]: Simplify (log re) into (log re) 3.901 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re)) 3.901 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4) 3.901 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 3.901 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 3.901 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 3.901 * [taylor]: Taking taylor expansion of 1/4 in re 3.901 * [backup-simplify]: Simplify 1/4 into 1/4 3.901 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 3.901 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.901 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.901 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.901 * [taylor]: Taking taylor expansion of (* re re) in re 3.901 * [taylor]: Taking taylor expansion of re in re 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [taylor]: Taking taylor expansion of re in re 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [taylor]: Taking taylor expansion of (* im im) in re 3.901 * [taylor]: Taking taylor expansion of im in re 3.902 * [backup-simplify]: Simplify im into im 3.902 * [taylor]: Taking taylor expansion of im in re 3.902 * [backup-simplify]: Simplify im into im 3.902 * [backup-simplify]: Simplify (* 0 0) into 0 3.902 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.902 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.902 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.903 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.903 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.903 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.903 * [backup-simplify]: Simplify (log im) into (log im) 3.903 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 3.903 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 3.903 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 3.903 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 3.904 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 3.904 * [taylor]: Taking taylor expansion of 1/4 in re 3.904 * [backup-simplify]: Simplify 1/4 into 1/4 3.904 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 3.904 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.904 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.904 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.904 * [taylor]: Taking taylor expansion of (* re re) in re 3.904 * [taylor]: Taking taylor expansion of re in re 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify 1 into 1 3.904 * [taylor]: Taking taylor expansion of re in re 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify 1 into 1 3.904 * [taylor]: Taking taylor expansion of (* im im) in re 3.904 * [taylor]: Taking taylor expansion of im in re 3.904 * [backup-simplify]: Simplify im into im 3.904 * [taylor]: Taking taylor expansion of im in re 3.904 * [backup-simplify]: Simplify im into im 3.904 * [backup-simplify]: Simplify (* 0 0) into 0 3.904 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.905 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.905 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.905 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.905 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.905 * [backup-simplify]: Simplify (+ 0 0) into 0 3.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.905 * [backup-simplify]: Simplify (log im) into (log im) 3.905 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 3.906 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 3.906 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 3.906 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 3.906 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 3.906 * [taylor]: Taking taylor expansion of 1/4 in im 3.906 * [backup-simplify]: Simplify 1/4 into 1/4 3.906 * [taylor]: Taking taylor expansion of (log im) in im 3.906 * [taylor]: Taking taylor expansion of im in im 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (log 1) into 0 3.906 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 3.906 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 3.906 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 3.906 * [backup-simplify]: Simplify (pow im 1/4) into (pow im 1/4) 3.907 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 3.907 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 3.908 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.908 * [taylor]: Taking taylor expansion of 0 in im 3.908 * [backup-simplify]: Simplify 0 into 0 3.908 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.913 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 3.913 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 3.913 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.914 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.914 * [backup-simplify]: Simplify (+ 1 0) into 1 3.915 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.916 * [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)) 3.916 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2))) 3.917 * [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)) 3.917 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) in im 3.917 * [taylor]: Taking taylor expansion of 1/8 in im 3.917 * [backup-simplify]: Simplify 1/8 into 1/8 3.917 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 3.917 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 3.917 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 3.917 * [taylor]: Taking taylor expansion of 1/4 in im 3.917 * [backup-simplify]: Simplify 1/4 into 1/4 3.917 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 3.917 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 3.917 * [taylor]: Taking taylor expansion of (pow im 7) in im 3.917 * [taylor]: Taking taylor expansion of im in im 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (* 1 1) into 1 3.917 * [backup-simplify]: Simplify (* 1 1) into 1 3.918 * [backup-simplify]: Simplify (* 1 1) into 1 3.918 * [backup-simplify]: Simplify (* 1 1) into 1 3.918 * [backup-simplify]: Simplify (/ 1 1) into 1 3.918 * [backup-simplify]: Simplify (log 1) into 0 3.918 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 3.919 * [backup-simplify]: Simplify (* 1/4 (- (* 7 (log im)))) into (* -7/4 (log im)) 3.919 * [backup-simplify]: Simplify (exp (* -7/4 (log im))) into (pow im -7/4) 3.919 * [backup-simplify]: Simplify (* 1/8 (pow im -7/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 3.919 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 3.919 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.921 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 3.921 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log im)))) into 0 3.922 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.922 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.923 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.923 * [backup-simplify]: Simplify (+ 0 0) into 0 3.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.925 * [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 3.926 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 3.927 * [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 3.927 * [taylor]: Taking taylor expansion of 0 in im 3.927 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.930 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.930 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 3.930 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 7 (log im))))) into 0 3.931 * [backup-simplify]: Simplify (* (exp (* -7/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.931 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (pow im -7/4))) into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.934 * [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 3.934 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 3.935 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 3.936 * [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 3.937 * [backup-simplify]: Simplify 0 into 0 3.937 * [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)) 3.937 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3.937 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in (re im) around 0 3.937 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im 3.937 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im 3.937 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im 3.937 * [taylor]: Taking taylor expansion of 1/4 in im 3.937 * [backup-simplify]: Simplify 1/4 into 1/4 3.937 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 3.937 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.937 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.937 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.937 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.937 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.938 * [taylor]: Taking taylor expansion of re in im 3.938 * [backup-simplify]: Simplify re into re 3.938 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.938 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.938 * [taylor]: Taking taylor expansion of re in im 3.938 * [backup-simplify]: Simplify re into re 3.938 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.938 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.938 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.938 * [taylor]: Taking taylor expansion of im in im 3.938 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify 1 into 1 3.938 * [backup-simplify]: Simplify (/ 1 1) into 1 3.938 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.938 * [taylor]: Taking taylor expansion of im in im 3.938 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify 1 into 1 3.939 * [backup-simplify]: Simplify (/ 1 1) into 1 3.939 * [backup-simplify]: Simplify (* 1 1) into 1 3.939 * [backup-simplify]: Simplify (+ 0 1) into 1 3.940 * [backup-simplify]: Simplify (sqrt 1) into 1 3.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.942 * [backup-simplify]: Simplify (+ 0 0) into 0 3.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.943 * [backup-simplify]: Simplify (log 1) into 0 3.944 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 3.944 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 3.944 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 3.944 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 3.944 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 3.944 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 3.944 * [taylor]: Taking taylor expansion of 1/4 in re 3.944 * [backup-simplify]: Simplify 1/4 into 1/4 3.944 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 3.944 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.944 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.944 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.944 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.944 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.944 * [taylor]: Taking taylor expansion of re in re 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * [backup-simplify]: Simplify (/ 1 1) into 1 3.944 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.944 * [taylor]: Taking taylor expansion of re in re 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [backup-simplify]: Simplify (/ 1 1) into 1 3.945 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.945 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.945 * [taylor]: Taking taylor expansion of im in re 3.945 * [backup-simplify]: Simplify im into im 3.945 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.945 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.945 * [taylor]: Taking taylor expansion of im in re 3.945 * [backup-simplify]: Simplify im into im 3.945 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.946 * [backup-simplify]: Simplify (* 1 1) into 1 3.946 * [backup-simplify]: Simplify (+ 1 0) into 1 3.946 * [backup-simplify]: Simplify (sqrt 1) into 1 3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.949 * [backup-simplify]: Simplify (+ 0 0) into 0 3.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.950 * [backup-simplify]: Simplify (log 1) into 0 3.950 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 3.950 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 3.950 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 3.950 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 3.950 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 3.950 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 3.950 * [taylor]: Taking taylor expansion of 1/4 in re 3.950 * [backup-simplify]: Simplify 1/4 into 1/4 3.950 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 3.950 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.950 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.950 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.950 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.950 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.950 * [taylor]: Taking taylor expansion of re in re 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.951 * [backup-simplify]: Simplify (/ 1 1) into 1 3.951 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.951 * [taylor]: Taking taylor expansion of re in re 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 1 into 1 3.951 * [backup-simplify]: Simplify (/ 1 1) into 1 3.951 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.951 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.951 * [taylor]: Taking taylor expansion of im in re 3.951 * [backup-simplify]: Simplify im into im 3.951 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.951 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.952 * [taylor]: Taking taylor expansion of im in re 3.952 * [backup-simplify]: Simplify im into im 3.952 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.952 * [backup-simplify]: Simplify (* 1 1) into 1 3.952 * [backup-simplify]: Simplify (+ 1 0) into 1 3.953 * [backup-simplify]: Simplify (sqrt 1) into 1 3.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.955 * [backup-simplify]: Simplify (+ 0 0) into 0 3.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.956 * [backup-simplify]: Simplify (log 1) into 0 3.957 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 3.957 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 3.957 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 3.957 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 3.957 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 3.957 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 3.957 * [taylor]: Taking taylor expansion of -1/4 in im 3.957 * [backup-simplify]: Simplify -1/4 into -1/4 3.957 * [taylor]: Taking taylor expansion of (log re) in im 3.957 * [taylor]: Taking taylor expansion of re in im 3.957 * [backup-simplify]: Simplify re into re 3.957 * [backup-simplify]: Simplify (log re) into (log re) 3.957 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 3.957 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 3.957 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 3.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.959 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 3.960 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 3.960 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.960 * [taylor]: Taking taylor expansion of 0 in im 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.962 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 3.962 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.962 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.965 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.965 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.966 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.968 * [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)) 3.968 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 3.969 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 3.970 * [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)))) 3.970 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 3.970 * [taylor]: Taking taylor expansion of 1/8 in im 3.970 * [backup-simplify]: Simplify 1/8 into 1/8 3.970 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 3.970 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 3.970 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 3.970 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 3.970 * [taylor]: Taking taylor expansion of 1/4 in im 3.970 * [backup-simplify]: Simplify 1/4 into 1/4 3.970 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 3.970 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.970 * [taylor]: Taking taylor expansion of re in im 3.970 * [backup-simplify]: Simplify re into re 3.970 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.970 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 3.970 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 3.970 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 3.970 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.970 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.971 * [taylor]: Taking taylor expansion of im in im 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify 1 into 1 3.971 * [backup-simplify]: Simplify (* 1 1) into 1 3.971 * [backup-simplify]: Simplify (/ 1 1) into 1 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 3.976 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 3.976 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 3.978 * [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 3.979 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 3.980 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 3.981 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 3.981 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 3.982 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.985 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 3.986 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.986 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.989 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 3.990 * [backup-simplify]: Simplify (+ 0 0) into 0 3.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.993 * [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 3.994 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 3.995 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 3.996 * [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 3.997 * [taylor]: Taking taylor expansion of 0 in im 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify (pow (/ 1 re) -1/4) into (pow (/ 1 re) -1/4) 3.997 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3.997 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in (re im) around 0 3.997 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im 3.997 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im 3.997 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im 3.997 * [taylor]: Taking taylor expansion of 1/4 in im 3.997 * [backup-simplify]: Simplify 1/4 into 1/4 3.997 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 3.997 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.997 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.997 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.997 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.997 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.997 * [taylor]: Taking taylor expansion of -1 in im 3.997 * [backup-simplify]: Simplify -1 into -1 3.997 * [taylor]: Taking taylor expansion of re in im 3.997 * [backup-simplify]: Simplify re into re 3.997 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.997 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.997 * [taylor]: Taking taylor expansion of -1 in im 3.997 * [backup-simplify]: Simplify -1 into -1 3.997 * [taylor]: Taking taylor expansion of re in im 3.998 * [backup-simplify]: Simplify re into re 3.998 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.998 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.998 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.998 * [taylor]: Taking taylor expansion of -1 in im 3.998 * [backup-simplify]: Simplify -1 into -1 3.998 * [taylor]: Taking taylor expansion of im in im 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (/ -1 1) into -1 3.998 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.998 * [taylor]: Taking taylor expansion of -1 in im 3.998 * [backup-simplify]: Simplify -1 into -1 3.998 * [taylor]: Taking taylor expansion of im in im 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 1 into 1 3.999 * [backup-simplify]: Simplify (/ -1 1) into -1 3.999 * [backup-simplify]: Simplify (* -1 -1) into 1 3.999 * [backup-simplify]: Simplify (+ 0 1) into 1 4.000 * [backup-simplify]: Simplify (sqrt 1) into 1 4.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.002 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.002 * [backup-simplify]: Simplify (+ 0 0) into 0 4.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.003 * [backup-simplify]: Simplify (log 1) into 0 4.004 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 4.004 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 4.004 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 4.004 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 4.004 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 4.004 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 4.004 * [taylor]: Taking taylor expansion of 1/4 in re 4.004 * [backup-simplify]: Simplify 1/4 into 1/4 4.004 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 4.004 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.004 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.004 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.004 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.004 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.004 * [taylor]: Taking taylor expansion of -1 in re 4.004 * [backup-simplify]: Simplify -1 into -1 4.004 * [taylor]: Taking taylor expansion of re in re 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (/ -1 1) into -1 4.005 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.005 * [taylor]: Taking taylor expansion of -1 in re 4.005 * [backup-simplify]: Simplify -1 into -1 4.005 * [taylor]: Taking taylor expansion of re in re 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (/ -1 1) into -1 4.005 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.005 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.005 * [taylor]: Taking taylor expansion of -1 in re 4.006 * [backup-simplify]: Simplify -1 into -1 4.006 * [taylor]: Taking taylor expansion of im in re 4.006 * [backup-simplify]: Simplify im into im 4.006 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.006 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.006 * [taylor]: Taking taylor expansion of -1 in re 4.006 * [backup-simplify]: Simplify -1 into -1 4.006 * [taylor]: Taking taylor expansion of im in re 4.006 * [backup-simplify]: Simplify im into im 4.006 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.006 * [backup-simplify]: Simplify (* -1 -1) into 1 4.007 * [backup-simplify]: Simplify (+ 1 0) into 1 4.007 * [backup-simplify]: Simplify (sqrt 1) into 1 4.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.009 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.009 * [backup-simplify]: Simplify (+ 0 0) into 0 4.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.010 * [backup-simplify]: Simplify (log 1) into 0 4.011 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.011 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 4.011 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.011 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 4.011 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 4.011 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 4.011 * [taylor]: Taking taylor expansion of 1/4 in re 4.011 * [backup-simplify]: Simplify 1/4 into 1/4 4.011 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 4.011 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.011 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.011 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.011 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.011 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.011 * [taylor]: Taking taylor expansion of -1 in re 4.011 * [backup-simplify]: Simplify -1 into -1 4.011 * [taylor]: Taking taylor expansion of re in re 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (/ -1 1) into -1 4.012 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.012 * [taylor]: Taking taylor expansion of -1 in re 4.012 * [backup-simplify]: Simplify -1 into -1 4.012 * [taylor]: Taking taylor expansion of re in re 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (/ -1 1) into -1 4.012 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.012 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.012 * [taylor]: Taking taylor expansion of -1 in re 4.013 * [backup-simplify]: Simplify -1 into -1 4.013 * [taylor]: Taking taylor expansion of im in re 4.013 * [backup-simplify]: Simplify im into im 4.013 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.013 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.013 * [taylor]: Taking taylor expansion of -1 in re 4.013 * [backup-simplify]: Simplify -1 into -1 4.013 * [taylor]: Taking taylor expansion of im in re 4.013 * [backup-simplify]: Simplify im into im 4.013 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.013 * [backup-simplify]: Simplify (* -1 -1) into 1 4.014 * [backup-simplify]: Simplify (+ 1 0) into 1 4.014 * [backup-simplify]: Simplify (sqrt 1) into 1 4.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.016 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.016 * [backup-simplify]: Simplify (+ 0 0) into 0 4.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.017 * [backup-simplify]: Simplify (log 1) into 0 4.018 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.018 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 4.018 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.018 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 4.018 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 4.018 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 4.018 * [taylor]: Taking taylor expansion of -1/4 in im 4.018 * [backup-simplify]: Simplify -1/4 into -1/4 4.018 * [taylor]: Taking taylor expansion of (log re) in im 4.018 * [taylor]: Taking taylor expansion of re in im 4.018 * [backup-simplify]: Simplify re into re 4.018 * [backup-simplify]: Simplify (log re) into (log re) 4.018 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 4.018 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.018 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 4.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.020 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.020 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 4.021 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.021 * [taylor]: Taking taylor expansion of 0 in im 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.022 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 4.023 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.026 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.026 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.027 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.028 * [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)) 4.029 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.032 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 4.033 * [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)))) 4.033 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 4.033 * [taylor]: Taking taylor expansion of 1/8 in im 4.033 * [backup-simplify]: Simplify 1/8 into 1/8 4.033 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 4.033 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 4.033 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 4.033 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 4.033 * [taylor]: Taking taylor expansion of 1/4 in im 4.033 * [backup-simplify]: Simplify 1/4 into 1/4 4.033 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 4.033 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.033 * [taylor]: Taking taylor expansion of re in im 4.033 * [backup-simplify]: Simplify re into re 4.033 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.033 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 4.033 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 4.033 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 4.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.034 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.034 * [taylor]: Taking taylor expansion of im in im 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [backup-simplify]: Simplify (* 1 1) into 1 4.034 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 4.037 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 4.037 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 4.038 * [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 4.039 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 4.040 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.040 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 4.040 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 4.041 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 4.041 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.043 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 4.043 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.045 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.045 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.045 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.045 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.046 * [backup-simplify]: Simplify (+ 0 0) into 0 4.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.048 * [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 4.048 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.049 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 4.050 * [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 4.050 * [taylor]: Taking taylor expansion of 0 in im 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/4) into (pow (/ -1 re) -1/4) 4.050 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.051 * [backup-simplify]: Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4) 4.051 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/4) in (re im) around 0 4.051 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im 4.051 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im 4.051 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im 4.051 * [taylor]: Taking taylor expansion of 1/4 in im 4.051 * [backup-simplify]: Simplify 1/4 into 1/4 4.051 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 4.051 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.051 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.051 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.051 * [taylor]: Taking taylor expansion of (* re re) in im 4.051 * [taylor]: Taking taylor expansion of re in im 4.051 * [backup-simplify]: Simplify re into re 4.051 * [taylor]: Taking taylor expansion of re in im 4.051 * [backup-simplify]: Simplify re into re 4.051 * [taylor]: Taking taylor expansion of (* im im) in im 4.051 * [taylor]: Taking taylor expansion of im in im 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [taylor]: Taking taylor expansion of im in im 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.051 * [backup-simplify]: Simplify (* 0 0) into 0 4.051 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.051 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.051 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.052 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.052 * [backup-simplify]: Simplify (+ 0 0) into 0 4.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.052 * [backup-simplify]: Simplify (log re) into (log re) 4.052 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re)) 4.052 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4) 4.052 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 4.052 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 4.052 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 4.052 * [taylor]: Taking taylor expansion of 1/4 in re 4.052 * [backup-simplify]: Simplify 1/4 into 1/4 4.052 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 4.052 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.052 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.052 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.052 * [taylor]: Taking taylor expansion of (* re re) in re 4.052 * [taylor]: Taking taylor expansion of re in re 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [taylor]: Taking taylor expansion of re in re 4.052 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.053 * [taylor]: Taking taylor expansion of (* im im) in re 4.053 * [taylor]: Taking taylor expansion of im in re 4.053 * [backup-simplify]: Simplify im into im 4.053 * [taylor]: Taking taylor expansion of im in re 4.053 * [backup-simplify]: Simplify im into im 4.053 * [backup-simplify]: Simplify (* 0 0) into 0 4.053 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.053 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.053 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.053 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.053 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.054 * [backup-simplify]: Simplify (+ 0 0) into 0 4.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.054 * [backup-simplify]: Simplify (log im) into (log im) 4.054 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 4.054 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 4.054 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 4.054 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 4.054 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 4.054 * [taylor]: Taking taylor expansion of 1/4 in re 4.054 * [backup-simplify]: Simplify 1/4 into 1/4 4.054 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 4.054 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.054 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.054 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.054 * [taylor]: Taking taylor expansion of (* re re) in re 4.054 * [taylor]: Taking taylor expansion of re in re 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.054 * [taylor]: Taking taylor expansion of re in re 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.054 * [taylor]: Taking taylor expansion of (* im im) in re 4.054 * [taylor]: Taking taylor expansion of im in re 4.054 * [backup-simplify]: Simplify im into im 4.054 * [taylor]: Taking taylor expansion of im in re 4.054 * [backup-simplify]: Simplify im into im 4.054 * [backup-simplify]: Simplify (* 0 0) into 0 4.054 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.054 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.055 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.055 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.055 * [backup-simplify]: Simplify (+ 0 0) into 0 4.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.055 * [backup-simplify]: Simplify (log im) into (log im) 4.055 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 4.055 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 4.055 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 4.055 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 4.056 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 4.056 * [taylor]: Taking taylor expansion of 1/4 in im 4.056 * [backup-simplify]: Simplify 1/4 into 1/4 4.056 * [taylor]: Taking taylor expansion of (log im) in im 4.056 * [taylor]: Taking taylor expansion of im in im 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (log 1) into 0 4.056 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 4.056 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 4.056 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 4.056 * [backup-simplify]: Simplify (pow im 1/4) into (pow im 1/4) 4.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 4.057 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 4.058 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.058 * [taylor]: Taking taylor expansion of 0 in im 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.059 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 4.059 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 4.059 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.060 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.060 * [backup-simplify]: Simplify (+ 1 0) into 1 4.061 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.061 * [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)) 4.062 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2))) 4.062 * [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)) 4.062 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) in im 4.062 * [taylor]: Taking taylor expansion of 1/8 in im 4.062 * [backup-simplify]: Simplify 1/8 into 1/8 4.062 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 4.062 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 4.062 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 4.063 * [taylor]: Taking taylor expansion of 1/4 in im 4.063 * [backup-simplify]: Simplify 1/4 into 1/4 4.063 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 4.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 4.063 * [taylor]: Taking taylor expansion of (pow im 7) in im 4.063 * [taylor]: Taking taylor expansion of im in im 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (* 1 1) into 1 4.063 * [backup-simplify]: Simplify (* 1 1) into 1 4.063 * [backup-simplify]: Simplify (* 1 1) into 1 4.064 * [backup-simplify]: Simplify (* 1 1) into 1 4.064 * [backup-simplify]: Simplify (/ 1 1) into 1 4.064 * [backup-simplify]: Simplify (log 1) into 0 4.064 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 4.064 * [backup-simplify]: Simplify (* 1/4 (- (* 7 (log im)))) into (* -7/4 (log im)) 4.064 * [backup-simplify]: Simplify (exp (* -7/4 (log im))) into (pow im -7/4) 4.064 * [backup-simplify]: Simplify (* 1/8 (pow im -7/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 4.065 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 4.065 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.066 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 4.067 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log im)))) into 0 4.068 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.069 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.069 * [backup-simplify]: Simplify (+ 0 0) into 0 4.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.071 * [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 4.071 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 4.072 * [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 4.072 * [taylor]: Taking taylor expansion of 0 in im 4.072 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.075 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.076 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 4.076 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 7 (log im))))) into 0 4.076 * [backup-simplify]: Simplify (* (exp (* -7/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.077 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (pow im -7/4))) into 0 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 0 into 0 4.079 * [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 4.080 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 4.080 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 4.081 * [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 4.081 * [backup-simplify]: Simplify 0 into 0 4.082 * [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)) 4.082 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 4.082 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in (re im) around 0 4.082 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im 4.082 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im 4.082 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im 4.082 * [taylor]: Taking taylor expansion of 1/4 in im 4.082 * [backup-simplify]: Simplify 1/4 into 1/4 4.082 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 4.082 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.082 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.082 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.082 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.082 * [taylor]: Taking taylor expansion of re in im 4.082 * [backup-simplify]: Simplify re into re 4.082 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.082 * [taylor]: Taking taylor expansion of re in im 4.082 * [backup-simplify]: Simplify re into re 4.082 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.082 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.082 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.082 * [taylor]: Taking taylor expansion of im in im 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.082 * [backup-simplify]: Simplify (/ 1 1) into 1 4.082 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.083 * [taylor]: Taking taylor expansion of im in im 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (/ 1 1) into 1 4.083 * [backup-simplify]: Simplify (* 1 1) into 1 4.083 * [backup-simplify]: Simplify (+ 0 1) into 1 4.084 * [backup-simplify]: Simplify (sqrt 1) into 1 4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.085 * [backup-simplify]: Simplify (+ 0 0) into 0 4.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.086 * [backup-simplify]: Simplify (log 1) into 0 4.086 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 4.086 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 4.086 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 4.086 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 4.086 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 4.086 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 4.086 * [taylor]: Taking taylor expansion of 1/4 in re 4.086 * [backup-simplify]: Simplify 1/4 into 1/4 4.086 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 4.086 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.086 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.086 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.086 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.086 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.086 * [taylor]: Taking taylor expansion of re in re 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.087 * [backup-simplify]: Simplify (/ 1 1) into 1 4.087 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.087 * [taylor]: Taking taylor expansion of re in re 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [backup-simplify]: Simplify (/ 1 1) into 1 4.087 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.087 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.087 * [taylor]: Taking taylor expansion of im in re 4.087 * [backup-simplify]: Simplify im into im 4.087 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.087 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.087 * [taylor]: Taking taylor expansion of im in re 4.087 * [backup-simplify]: Simplify im into im 4.087 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.087 * [backup-simplify]: Simplify (* 1 1) into 1 4.088 * [backup-simplify]: Simplify (+ 1 0) into 1 4.088 * [backup-simplify]: Simplify (sqrt 1) into 1 4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.089 * [backup-simplify]: Simplify (+ 0 0) into 0 4.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.090 * [backup-simplify]: Simplify (log 1) into 0 4.090 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.090 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 4.090 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.090 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 4.090 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 4.090 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 4.090 * [taylor]: Taking taylor expansion of 1/4 in re 4.090 * [backup-simplify]: Simplify 1/4 into 1/4 4.090 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 4.090 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.090 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.091 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.091 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.091 * [taylor]: Taking taylor expansion of re in re 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (/ 1 1) into 1 4.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.091 * [taylor]: Taking taylor expansion of re in re 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (/ 1 1) into 1 4.091 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.091 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.091 * [taylor]: Taking taylor expansion of im in re 4.091 * [backup-simplify]: Simplify im into im 4.091 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.091 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.091 * [taylor]: Taking taylor expansion of im in re 4.091 * [backup-simplify]: Simplify im into im 4.091 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.092 * [backup-simplify]: Simplify (* 1 1) into 1 4.092 * [backup-simplify]: Simplify (+ 1 0) into 1 4.092 * [backup-simplify]: Simplify (sqrt 1) into 1 4.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.094 * [backup-simplify]: Simplify (+ 0 0) into 0 4.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.094 * [backup-simplify]: Simplify (log 1) into 0 4.094 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.094 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 4.095 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.095 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 4.095 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 4.095 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 4.095 * [taylor]: Taking taylor expansion of -1/4 in im 4.095 * [backup-simplify]: Simplify -1/4 into -1/4 4.095 * [taylor]: Taking taylor expansion of (log re) in im 4.095 * [taylor]: Taking taylor expansion of re in im 4.095 * [backup-simplify]: Simplify re into re 4.095 * [backup-simplify]: Simplify (log re) into (log re) 4.095 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 4.095 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.095 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 4.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.096 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.096 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 4.097 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.097 * [taylor]: Taking taylor expansion of 0 in im 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.098 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 4.098 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.100 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.100 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.101 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.102 * [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)) 4.102 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.102 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 4.103 * [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)))) 4.103 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 4.103 * [taylor]: Taking taylor expansion of 1/8 in im 4.103 * [backup-simplify]: Simplify 1/8 into 1/8 4.103 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 4.103 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 4.103 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 4.103 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 4.103 * [taylor]: Taking taylor expansion of 1/4 in im 4.103 * [backup-simplify]: Simplify 1/4 into 1/4 4.103 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 4.103 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.103 * [taylor]: Taking taylor expansion of re in im 4.103 * [backup-simplify]: Simplify re into re 4.103 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.103 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 4.103 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 4.103 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 4.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.103 * [taylor]: Taking taylor expansion of im in im 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (* 1 1) into 1 4.104 * [backup-simplify]: Simplify (/ 1 1) into 1 4.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 4.108 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 4.109 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 4.111 * [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 4.111 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 4.112 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.113 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 4.113 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 4.113 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 4.114 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.115 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 4.116 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.118 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.118 * [backup-simplify]: Simplify (+ 0 0) into 0 4.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.124 * [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 4.125 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.125 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 4.126 * [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 4.126 * [taylor]: Taking taylor expansion of 0 in im 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (pow (/ 1 re) -1/4) into (pow (/ 1 re) -1/4) 4.127 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 4.127 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in (re im) around 0 4.127 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im 4.127 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im 4.127 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im 4.127 * [taylor]: Taking taylor expansion of 1/4 in im 4.127 * [backup-simplify]: Simplify 1/4 into 1/4 4.127 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 4.127 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.127 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.127 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.127 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.127 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.127 * [taylor]: Taking taylor expansion of -1 in im 4.127 * [backup-simplify]: Simplify -1 into -1 4.127 * [taylor]: Taking taylor expansion of re in im 4.127 * [backup-simplify]: Simplify re into re 4.127 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.127 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.127 * [taylor]: Taking taylor expansion of -1 in im 4.127 * [backup-simplify]: Simplify -1 into -1 4.127 * [taylor]: Taking taylor expansion of re in im 4.127 * [backup-simplify]: Simplify re into re 4.127 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.127 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.127 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.127 * [taylor]: Taking taylor expansion of -1 in im 4.127 * [backup-simplify]: Simplify -1 into -1 4.127 * [taylor]: Taking taylor expansion of im in im 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (/ -1 1) into -1 4.128 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.128 * [taylor]: Taking taylor expansion of -1 in im 4.128 * [backup-simplify]: Simplify -1 into -1 4.128 * [taylor]: Taking taylor expansion of im in im 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (/ -1 1) into -1 4.128 * [backup-simplify]: Simplify (* -1 -1) into 1 4.128 * [backup-simplify]: Simplify (+ 0 1) into 1 4.129 * [backup-simplify]: Simplify (sqrt 1) into 1 4.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.130 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.130 * [backup-simplify]: Simplify (+ 0 0) into 0 4.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.131 * [backup-simplify]: Simplify (log 1) into 0 4.131 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 4.131 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 4.131 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 4.131 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 4.131 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 4.131 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 4.131 * [taylor]: Taking taylor expansion of 1/4 in re 4.131 * [backup-simplify]: Simplify 1/4 into 1/4 4.131 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 4.131 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.131 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.131 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.131 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.131 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.132 * [taylor]: Taking taylor expansion of -1 in re 4.132 * [backup-simplify]: Simplify -1 into -1 4.132 * [taylor]: Taking taylor expansion of re in re 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (/ -1 1) into -1 4.132 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.132 * [taylor]: Taking taylor expansion of -1 in re 4.132 * [backup-simplify]: Simplify -1 into -1 4.132 * [taylor]: Taking taylor expansion of re in re 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (/ -1 1) into -1 4.132 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.132 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.132 * [taylor]: Taking taylor expansion of -1 in re 4.132 * [backup-simplify]: Simplify -1 into -1 4.132 * [taylor]: Taking taylor expansion of im in re 4.132 * [backup-simplify]: Simplify im into im 4.132 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.132 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.132 * [taylor]: Taking taylor expansion of -1 in re 4.132 * [backup-simplify]: Simplify -1 into -1 4.132 * [taylor]: Taking taylor expansion of im in re 4.132 * [backup-simplify]: Simplify im into im 4.132 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.133 * [backup-simplify]: Simplify (* -1 -1) into 1 4.133 * [backup-simplify]: Simplify (+ 1 0) into 1 4.133 * [backup-simplify]: Simplify (sqrt 1) into 1 4.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.135 * [backup-simplify]: Simplify (+ 0 0) into 0 4.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.135 * [backup-simplify]: Simplify (log 1) into 0 4.136 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.136 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 4.136 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.136 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 4.136 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 4.136 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 4.136 * [taylor]: Taking taylor expansion of 1/4 in re 4.136 * [backup-simplify]: Simplify 1/4 into 1/4 4.136 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 4.136 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.136 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.136 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.136 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.136 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.136 * [taylor]: Taking taylor expansion of -1 in re 4.136 * [backup-simplify]: Simplify -1 into -1 4.136 * [taylor]: Taking taylor expansion of re in re 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (/ -1 1) into -1 4.136 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.136 * [taylor]: Taking taylor expansion of -1 in re 4.136 * [backup-simplify]: Simplify -1 into -1 4.136 * [taylor]: Taking taylor expansion of re in re 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (/ -1 1) into -1 4.137 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.137 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.137 * [taylor]: Taking taylor expansion of -1 in re 4.137 * [backup-simplify]: Simplify -1 into -1 4.137 * [taylor]: Taking taylor expansion of im in re 4.137 * [backup-simplify]: Simplify im into im 4.137 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.137 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.137 * [taylor]: Taking taylor expansion of -1 in re 4.137 * [backup-simplify]: Simplify -1 into -1 4.137 * [taylor]: Taking taylor expansion of im in re 4.137 * [backup-simplify]: Simplify im into im 4.137 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.137 * [backup-simplify]: Simplify (* -1 -1) into 1 4.137 * [backup-simplify]: Simplify (+ 1 0) into 1 4.138 * [backup-simplify]: Simplify (sqrt 1) into 1 4.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.139 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.139 * [backup-simplify]: Simplify (+ 0 0) into 0 4.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.140 * [backup-simplify]: Simplify (log 1) into 0 4.140 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.140 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 4.140 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.140 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 4.140 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 4.140 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 4.141 * [taylor]: Taking taylor expansion of -1/4 in im 4.141 * [backup-simplify]: Simplify -1/4 into -1/4 4.141 * [taylor]: Taking taylor expansion of (log re) in im 4.141 * [taylor]: Taking taylor expansion of re in im 4.141 * [backup-simplify]: Simplify re into re 4.141 * [backup-simplify]: Simplify (log re) into (log re) 4.141 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 4.141 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 4.141 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 4.141 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.142 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.142 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 4.143 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.143 * [taylor]: Taking taylor expansion of 0 in im 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.143 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 4.144 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.146 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.146 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.147 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.149 * [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)) 4.150 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.150 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 4.151 * [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)))) 4.151 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 4.151 * [taylor]: Taking taylor expansion of 1/8 in im 4.151 * [backup-simplify]: Simplify 1/8 into 1/8 4.151 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 4.151 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 4.151 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 4.151 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 4.151 * [taylor]: Taking taylor expansion of 1/4 in im 4.151 * [backup-simplify]: Simplify 1/4 into 1/4 4.151 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 4.151 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.151 * [taylor]: Taking taylor expansion of re in im 4.151 * [backup-simplify]: Simplify re into re 4.151 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.151 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 4.151 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 4.152 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 4.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.152 * [taylor]: Taking taylor expansion of im in im 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (* 1 1) into 1 4.152 * [backup-simplify]: Simplify (/ 1 1) into 1 4.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 4.156 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 4.157 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 4.159 * [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 4.160 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 4.161 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.162 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 4.162 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 4.162 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 4.163 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.164 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 4.165 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.167 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.167 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.167 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.167 * [backup-simplify]: Simplify (+ 0 0) into 0 4.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.171 * [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 4.171 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 4.172 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 4.174 * [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 4.174 * [taylor]: Taking taylor expansion of 0 in im 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/4) into (pow (/ -1 re) -1/4) 4.174 * * * [progress]: simplifying candidates 4.174 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 4.174 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 4.174 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 4.174 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 4.174 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 4.175 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 4.175 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 4.175 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 4.175 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 4.175 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 4.175 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 4.175 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 4.175 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 4.175 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 4.175 * 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[progress]: [ 46 / 152 ] simplifiying candidate # 4.177 * * * * [progress]: [ 47 / 152 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))))> 4.177 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 4.177 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 4.177 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 4.177 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 4.177 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 4.177 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 4.177 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 4.177 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 4.177 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 4.177 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 4.178 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 4.178 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 4.178 * * * * [progress]: [ 60 / 152 ] 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candidate # 4.180 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 4.180 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 4.180 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 4.180 * * * * [progress]: [ 95 / 152 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))))> 4.180 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 4.180 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 4.180 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 4.180 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 4.180 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 4.180 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 4.180 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 4.180 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 4.180 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 4.180 * * * * [progress]: [ 105 / 152 ] 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candidate # 4.181 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 4.181 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 4.181 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 4.181 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 4.181 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 4.181 * * * * [progress]: [ 125 / 152 ] simplifiying candidate # 4.181 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 4.181 * * * * [progress]: [ 127 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 128 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 129 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 130 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 131 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 132 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 133 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 134 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 135 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 136 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 137 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 139 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 140 / 152 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))> 4.182 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 4.182 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 4.183 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 4.183 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 4.183 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 4.183 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 4.183 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 4.185 * [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) 4.187 * * [simplify]: iteration 0: 130 enodes 4.252 * * [simplify]: iteration 1: 303 enodes 4.372 * * [simplify]: iteration 2: 784 enodes 4.736 * * [simplify]: iteration 3: 1989 enodes 5.026 * * [simplify]: iteration 4: 2000 enodes 5.292 * * [simplify]: iteration complete: 2000 enodes 5.292 * * [simplify]: Extracting #0: cost 60 inf + 0 5.293 * * [simplify]: Extracting #1: cost 196 inf + 9 5.294 * * [simplify]: Extracting #2: cost 350 inf + 2566 5.296 * * [simplify]: Extracting #3: cost 381 inf + 8924 5.301 * * [simplify]: Extracting #4: cost 305 inf + 29100 5.316 * * [simplify]: Extracting #5: cost 181 inf + 66589 5.329 * * [simplify]: Extracting #6: cost 136 inf + 88633 5.343 * * [simplify]: Extracting #7: cost 74 inf + 118894 5.368 * * [simplify]: Extracting #8: cost 5 inf + 156779 5.387 * * [simplify]: Extracting #9: cost 0 inf + 159799 5.414 * [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 (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)))) (* (fabs (cbrt (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))) (* (cbrt (sqrt (sqrt (hypot re im)))) (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)))) (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)) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (* (sqrt (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 (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (hypot re im) (* (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (hypot re im) (* (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (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 (* (* re re) 3/8) (pow (/ 1 (pow im 5)) 1/4) (pow im 3/4)) (pow (/ 1 re) -3/4) (pow (/ -1 re) -3/4) im re (- re) (fma (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (* re re) (pow im 1/4)) (pow (/ 1 re) -1/4) (pow (/ -1 re) -1/4) (fma (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (* re re) (pow im 1/4)) (pow (/ 1 re) -1/4) (pow (/ -1 re) -1/4) 5.425 * * * [progress]: adding candidates to table 6.727 * * [progress]: iteration 4 / 4 6.727 * * * [progress]: picking best candidate 6.729 * * * * [pick]: Picked # 6.729 * * * [progress]: localizing error 6.739 * * * [progress]: generating rewritten candidates 6.739 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.746 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.753 * * * [progress]: generating series expansions 6.753 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.754 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.754 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.754 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.754 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.754 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.754 * [taylor]: Taking taylor expansion of im in im 6.754 * [backup-simplify]: Simplify 0 into 0 6.754 * [backup-simplify]: Simplify 1 into 1 6.754 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.754 * [taylor]: Taking taylor expansion of re in im 6.754 * [backup-simplify]: Simplify re into re 6.754 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.754 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.754 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.754 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.755 * [backup-simplify]: Simplify (+ 0 0) into 0 6.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.755 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.755 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.755 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.755 * [taylor]: Taking taylor expansion of im in re 6.755 * [backup-simplify]: Simplify im into im 6.755 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.755 * [taylor]: Taking taylor expansion of re in re 6.755 * [backup-simplify]: Simplify 0 into 0 6.755 * [backup-simplify]: Simplify 1 into 1 6.755 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.755 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.755 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.755 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.755 * [backup-simplify]: Simplify (+ 0 0) into 0 6.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.755 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.755 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.755 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.755 * [taylor]: Taking taylor expansion of im in re 6.755 * [backup-simplify]: Simplify im into im 6.755 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.755 * [taylor]: Taking taylor expansion of re in re 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify 1 into 1 6.756 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.756 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.756 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.756 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.756 * [backup-simplify]: Simplify (+ 0 0) into 0 6.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.756 * [taylor]: Taking taylor expansion of im in im 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify 1 into 1 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [taylor]: Taking taylor expansion of 0 in im 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify 1 into 1 6.757 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.757 * [backup-simplify]: Simplify (* 1 1) into 1 6.757 * [backup-simplify]: Simplify (+ 0 1) into 1 6.758 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.758 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.758 * [taylor]: Taking taylor expansion of 1/2 in im 6.758 * [backup-simplify]: Simplify 1/2 into 1/2 6.758 * [taylor]: Taking taylor expansion of im in im 6.758 * [backup-simplify]: Simplify 0 into 0 6.758 * [backup-simplify]: Simplify 1 into 1 6.758 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.760 * [backup-simplify]: Simplify (+ 0 0) into 0 6.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.760 * [taylor]: Taking taylor expansion of 0 in im 6.760 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.761 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.762 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.762 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.762 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.762 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.762 * [taylor]: Taking taylor expansion of re in im 6.762 * [backup-simplify]: Simplify re into re 6.762 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.762 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.762 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.762 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.762 * [taylor]: Taking taylor expansion of im in im 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify 1 into 1 6.763 * [backup-simplify]: Simplify (* 1 1) into 1 6.763 * [backup-simplify]: Simplify (/ 1 1) into 1 6.764 * [backup-simplify]: Simplify (+ 0 1) into 1 6.764 * [backup-simplify]: Simplify (sqrt 1) into 1 6.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.766 * [backup-simplify]: Simplify (+ 0 0) into 0 6.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.767 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.767 * [taylor]: Taking taylor expansion of re in re 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify 1 into 1 6.767 * [backup-simplify]: Simplify (* 1 1) into 1 6.767 * [backup-simplify]: Simplify (/ 1 1) into 1 6.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.768 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.768 * [taylor]: Taking taylor expansion of im in re 6.768 * [backup-simplify]: Simplify im into im 6.768 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.768 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.768 * [backup-simplify]: Simplify (+ 1 0) into 1 6.769 * [backup-simplify]: Simplify (sqrt 1) into 1 6.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.770 * [backup-simplify]: Simplify (+ 0 0) into 0 6.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.771 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.771 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.771 * [taylor]: Taking taylor expansion of re in re 6.771 * [backup-simplify]: Simplify 0 into 0 6.771 * [backup-simplify]: Simplify 1 into 1 6.772 * [backup-simplify]: Simplify (* 1 1) into 1 6.772 * [backup-simplify]: Simplify (/ 1 1) into 1 6.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.772 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.772 * [taylor]: Taking taylor expansion of im in re 6.772 * [backup-simplify]: Simplify im into im 6.772 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.772 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.773 * [backup-simplify]: Simplify (+ 1 0) into 1 6.773 * [backup-simplify]: Simplify (sqrt 1) into 1 6.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.775 * [backup-simplify]: Simplify (+ 0 0) into 0 6.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.776 * [taylor]: Taking taylor expansion of 1 in im 6.776 * [backup-simplify]: Simplify 1 into 1 6.776 * [taylor]: Taking taylor expansion of 0 in im 6.776 * [backup-simplify]: Simplify 0 into 0 6.776 * [backup-simplify]: Simplify 1 into 1 6.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.777 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.778 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.778 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.778 * [taylor]: Taking taylor expansion of 1/2 in im 6.778 * [backup-simplify]: Simplify 1/2 into 1/2 6.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.778 * [taylor]: Taking taylor expansion of im in im 6.778 * [backup-simplify]: Simplify 0 into 0 6.778 * [backup-simplify]: Simplify 1 into 1 6.778 * [backup-simplify]: Simplify (* 1 1) into 1 6.778 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.779 * [backup-simplify]: Simplify 0 into 0 6.779 * [backup-simplify]: Simplify 0 into 0 6.779 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.781 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.781 * [backup-simplify]: Simplify (+ 0 0) into 0 6.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.781 * [taylor]: Taking taylor expansion of 0 in im 6.781 * [backup-simplify]: Simplify 0 into 0 6.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.783 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.783 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.783 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.783 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.783 * [taylor]: Taking taylor expansion of re in im 6.783 * [backup-simplify]: Simplify re into re 6.783 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.783 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.783 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.783 * [taylor]: Taking taylor expansion of im in im 6.783 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify 1 into 1 6.783 * [backup-simplify]: Simplify (* 1 1) into 1 6.784 * [backup-simplify]: Simplify (/ 1 1) into 1 6.784 * [backup-simplify]: Simplify (+ 0 1) into 1 6.784 * [backup-simplify]: Simplify (sqrt 1) into 1 6.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.785 * [backup-simplify]: Simplify (+ 0 0) into 0 6.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.786 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.786 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.786 * [taylor]: Taking taylor expansion of re in re 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 1 into 1 6.786 * [backup-simplify]: Simplify (* 1 1) into 1 6.786 * [backup-simplify]: Simplify (/ 1 1) into 1 6.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.786 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.786 * [taylor]: Taking taylor expansion of im in re 6.786 * [backup-simplify]: Simplify im into im 6.786 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.787 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.787 * [backup-simplify]: Simplify (+ 1 0) into 1 6.787 * [backup-simplify]: Simplify (sqrt 1) into 1 6.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.788 * [backup-simplify]: Simplify (+ 0 0) into 0 6.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.789 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.789 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.789 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.789 * [taylor]: Taking taylor expansion of re in re 6.789 * [backup-simplify]: Simplify 0 into 0 6.789 * [backup-simplify]: Simplify 1 into 1 6.789 * [backup-simplify]: Simplify (* 1 1) into 1 6.789 * [backup-simplify]: Simplify (/ 1 1) into 1 6.789 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.789 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.789 * [taylor]: Taking taylor expansion of im in re 6.789 * [backup-simplify]: Simplify im into im 6.789 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.789 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.790 * [backup-simplify]: Simplify (+ 1 0) into 1 6.790 * [backup-simplify]: Simplify (sqrt 1) into 1 6.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.791 * [backup-simplify]: Simplify (+ 0 0) into 0 6.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.791 * [taylor]: Taking taylor expansion of 1 in im 6.791 * [backup-simplify]: Simplify 1 into 1 6.791 * [taylor]: Taking taylor expansion of 0 in im 6.791 * [backup-simplify]: Simplify 0 into 0 6.791 * [backup-simplify]: Simplify 1 into 1 6.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.793 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.793 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.793 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.793 * [taylor]: Taking taylor expansion of 1/2 in im 6.793 * [backup-simplify]: Simplify 1/2 into 1/2 6.793 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.793 * [taylor]: Taking taylor expansion of im in im 6.793 * [backup-simplify]: Simplify 0 into 0 6.794 * [backup-simplify]: Simplify 1 into 1 6.794 * [backup-simplify]: Simplify (* 1 1) into 1 6.794 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.796 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.797 * [backup-simplify]: Simplify (+ 0 0) into 0 6.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.797 * [taylor]: Taking taylor expansion of 0 in im 6.797 * [backup-simplify]: Simplify 0 into 0 6.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.806 * [backup-simplify]: Simplify 0 into 0 6.806 * [backup-simplify]: Simplify 0 into 0 6.806 * [backup-simplify]: Simplify 0 into 0 6.806 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.806 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.806 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 6.806 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 6.806 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.806 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.806 * [taylor]: Taking taylor expansion of im in im 6.806 * [backup-simplify]: Simplify 0 into 0 6.806 * [backup-simplify]: Simplify 1 into 1 6.807 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.807 * [taylor]: Taking taylor expansion of re in im 6.807 * [backup-simplify]: Simplify re into re 6.807 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.807 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.807 * [taylor]: Taking taylor expansion of im in re 6.807 * [backup-simplify]: Simplify im into im 6.807 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.807 * [taylor]: Taking taylor expansion of re in re 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify 1 into 1 6.807 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.807 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.807 * [taylor]: Taking taylor expansion of im in re 6.807 * [backup-simplify]: Simplify im into im 6.807 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.807 * [taylor]: Taking taylor expansion of re in re 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify 1 into 1 6.807 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.807 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.807 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.807 * [taylor]: Taking taylor expansion of im in im 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify 1 into 1 6.807 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.807 * [backup-simplify]: Simplify (+ 0 0) into 0 6.807 * [taylor]: Taking taylor expansion of 0 in im 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.808 * [backup-simplify]: Simplify (* 1 1) into 1 6.808 * [backup-simplify]: Simplify (+ 0 1) into 1 6.808 * [taylor]: Taking taylor expansion of 1 in im 6.808 * [backup-simplify]: Simplify 1 into 1 6.808 * [backup-simplify]: Simplify 1 into 1 6.808 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify (* 1 1) into 1 6.809 * [backup-simplify]: Simplify 1 into 1 6.809 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.810 * [backup-simplify]: Simplify (+ 0 0) into 0 6.810 * [taylor]: Taking taylor expansion of 0 in im 6.810 * [backup-simplify]: Simplify 0 into 0 6.810 * [backup-simplify]: Simplify 0 into 0 6.810 * [backup-simplify]: Simplify 0 into 0 6.810 * [backup-simplify]: Simplify 0 into 0 6.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 6.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.812 * [backup-simplify]: Simplify (+ 0 0) into 0 6.812 * [taylor]: Taking taylor expansion of 0 in im 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 6.813 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 6.813 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 6.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.813 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.813 * [taylor]: Taking taylor expansion of re in im 6.813 * [backup-simplify]: Simplify re into re 6.813 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.813 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.813 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.813 * [taylor]: Taking taylor expansion of im in im 6.813 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify 1 into 1 6.813 * [backup-simplify]: Simplify (* 1 1) into 1 6.814 * [backup-simplify]: Simplify (/ 1 1) into 1 6.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.814 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.814 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.814 * [taylor]: Taking taylor expansion of re in re 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify (* 1 1) into 1 6.814 * [backup-simplify]: Simplify (/ 1 1) into 1 6.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.814 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.814 * [taylor]: Taking taylor expansion of im in re 6.814 * [backup-simplify]: Simplify im into im 6.814 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.814 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.814 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.814 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.814 * [taylor]: Taking taylor expansion of re in re 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 1 into 1 6.815 * [backup-simplify]: Simplify (* 1 1) into 1 6.815 * [backup-simplify]: Simplify (/ 1 1) into 1 6.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.815 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.815 * [taylor]: Taking taylor expansion of im in re 6.815 * [backup-simplify]: Simplify im into im 6.815 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.815 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.815 * [backup-simplify]: Simplify (+ 1 0) into 1 6.815 * [taylor]: Taking taylor expansion of 1 in im 6.815 * [backup-simplify]: Simplify 1 into 1 6.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.817 * [backup-simplify]: Simplify (+ 0 0) into 0 6.817 * [taylor]: Taking taylor expansion of 0 in im 6.817 * [backup-simplify]: Simplify 0 into 0 6.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.818 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.818 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.818 * [taylor]: Taking taylor expansion of im in im 6.818 * [backup-simplify]: Simplify 0 into 0 6.818 * [backup-simplify]: Simplify 1 into 1 6.818 * [backup-simplify]: Simplify (* 1 1) into 1 6.818 * [backup-simplify]: Simplify (/ 1 1) into 1 6.818 * [backup-simplify]: Simplify 1 into 1 6.818 * [backup-simplify]: Simplify 1 into 1 6.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.820 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.820 * [backup-simplify]: Simplify (+ 0 0) into 0 6.820 * [taylor]: Taking taylor expansion of 0 in im 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.821 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.822 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 6.823 * [backup-simplify]: Simplify (+ 0 0) into 0 6.823 * [taylor]: Taking taylor expansion of 0 in im 6.823 * [backup-simplify]: Simplify 0 into 0 6.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 6.824 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 6.825 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 6.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.825 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.825 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.825 * [taylor]: Taking taylor expansion of re in im 6.825 * [backup-simplify]: Simplify re into re 6.825 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.825 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.825 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.825 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.825 * [taylor]: Taking taylor expansion of im in im 6.825 * [backup-simplify]: Simplify 0 into 0 6.825 * [backup-simplify]: Simplify 1 into 1 6.825 * [backup-simplify]: Simplify (* 1 1) into 1 6.825 * [backup-simplify]: Simplify (/ 1 1) into 1 6.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.825 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.825 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.825 * [taylor]: Taking taylor expansion of re in re 6.825 * [backup-simplify]: Simplify 0 into 0 6.825 * [backup-simplify]: Simplify 1 into 1 6.826 * [backup-simplify]: Simplify (* 1 1) into 1 6.826 * [backup-simplify]: Simplify (/ 1 1) into 1 6.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.826 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.826 * [taylor]: Taking taylor expansion of im in re 6.826 * [backup-simplify]: Simplify im into im 6.826 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.826 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.826 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.826 * [taylor]: Taking taylor expansion of re in re 6.826 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify 1 into 1 6.826 * [backup-simplify]: Simplify (* 1 1) into 1 6.827 * [backup-simplify]: Simplify (/ 1 1) into 1 6.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.827 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.827 * [taylor]: Taking taylor expansion of im in re 6.827 * [backup-simplify]: Simplify im into im 6.827 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.827 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.827 * [backup-simplify]: Simplify (+ 1 0) into 1 6.827 * [taylor]: Taking taylor expansion of 1 in im 6.827 * [backup-simplify]: Simplify 1 into 1 6.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.828 * [backup-simplify]: Simplify (+ 0 0) into 0 6.828 * [taylor]: Taking taylor expansion of 0 in im 6.828 * [backup-simplify]: Simplify 0 into 0 6.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.829 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.830 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.830 * [taylor]: Taking taylor expansion of im in im 6.830 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify 1 into 1 6.830 * [backup-simplify]: Simplify (* 1 1) into 1 6.830 * [backup-simplify]: Simplify (/ 1 1) into 1 6.830 * [backup-simplify]: Simplify 1 into 1 6.830 * [backup-simplify]: Simplify 1 into 1 6.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.831 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.832 * [backup-simplify]: Simplify (+ 0 0) into 0 6.832 * [taylor]: Taking taylor expansion of 0 in im 6.832 * [backup-simplify]: Simplify 0 into 0 6.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.833 * [backup-simplify]: Simplify 0 into 0 6.833 * [backup-simplify]: Simplify 0 into 0 6.833 * [backup-simplify]: Simplify 0 into 0 6.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.834 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 6.835 * [backup-simplify]: Simplify (+ 0 0) into 0 6.835 * [taylor]: Taking taylor expansion of 0 in im 6.835 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 6.836 * * * [progress]: simplifying candidates 6.836 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 6.836 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 6.836 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 6.836 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 6.836 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 19 / 40 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))> 6.837 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 6.837 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))))> 6.837 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 6.838 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 6.838 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 6.838 * * * * [progress]: [ 37 / 40 ] simplifiying candidate # 6.838 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 6.838 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 6.838 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 6.838 * [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)) 6.839 * * [simplify]: iteration 0: 54 enodes 6.852 * * [simplify]: iteration 1: 138 enodes 6.927 * * [simplify]: iteration 2: 393 enodes 7.181 * * [simplify]: iteration 3: 1633 enodes 7.572 * * [simplify]: iteration 4: 2016 enodes 7.956 * * [simplify]: iteration complete: 2016 enodes 7.957 * * [simplify]: Extracting #0: cost 34 inf + 0 7.958 * * [simplify]: Extracting #1: cost 280 inf + 566 7.965 * * [simplify]: Extracting #2: cost 348 inf + 13462 7.977 * * [simplify]: Extracting #3: cost 95 inf + 50315 7.997 * * [simplify]: Extracting #4: cost 1 inf + 71199 8.019 * * [simplify]: Extracting #5: cost 0 inf + 71521 8.036 * [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 im im (* re re))) (fabs (cbrt (fma im im (* re re)))) (sqrt (cbrt (fma im im (* re re)))) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (hypot (* re (* re re)) (* (* im im) im)) (sqrt (fma (* im im) (- (* im im) (* re re)) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (expm1 (fma im im (* re re))) (log1p (fma im im (* re re))) (exp (fma re re (* im im))) (+ (log (hypot re im)) (log (hypot re im))) (exp (fma re re (* im im))) (* (cbrt (fma im im (* re re))) (cbrt (fma im im (* re re)))) (cbrt (fma im im (* re re))) (* (* (fma im im (* re re)) (fma im im (* re re))) (fma im im (* re re))) (hypot re im) (hypot re im) (fma (* im im) (* (* im im) (* im im)) (* (* (* re re) (* re re)) (* re re))) (fma (* im im) (- (* im im) (* re re)) (* (* re re) (* re re))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (real->posit16 (fma im im (* re re))) im re (- re) (fma im im (* re re)) (fma im im (* re re)) (fma im im (* re re)) 8.038 * * * [progress]: adding candidates to table 8.307 * [progress]: [Phase 3 of 3] Extracting. 8.308 * * [regime]: Finding splitpoints for: (# # # #) 8.308 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 8.308 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 8.330 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 8.355 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 8.399 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 8.450 * * * * [regimes]: Trying to branch on im from (# # # #) 8.498 * * * * [regimes]: Trying to branch on re from (# # # #) 8.533 * * * [regime]: Found split indices: #