37.581 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.021 * * [simplify]: iteration 0: 6 enodes 0.023 * * [simplify]: iteration 1: 9 enodes 0.025 * * [simplify]: iteration 2: 11 enodes 0.027 * * [simplify]: iteration complete: 11 enodes 0.027 * * [simplify]: Extracting #0: cost 1 inf + 0 0.027 * * [simplify]: Extracting #1: cost 4 inf + 0 0.027 * * [simplify]: Extracting #2: cost 4 inf + 2 0.027 * * [simplify]: Extracting #3: cost 0 inf + 17 0.028 * [simplify]: Simplified to: (hypot re im) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.058 * * * [progress]: generating series expansions 0.058 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.058 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.058 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.058 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.058 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.058 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.058 * [taylor]: Taking taylor expansion of (* re re) in im 0.058 * [taylor]: Taking taylor expansion of re in im 0.058 * [backup-simplify]: Simplify re into re 0.058 * [taylor]: Taking taylor expansion of re in im 0.058 * [backup-simplify]: Simplify re into re 0.058 * [taylor]: Taking taylor expansion of (* im im) in im 0.058 * [taylor]: Taking taylor expansion of im in im 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of im in im 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.059 * [backup-simplify]: Simplify (* 0 0) into 0 0.060 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.060 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.060 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.061 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.061 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.062 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.062 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.062 * [taylor]: Taking taylor expansion of (* re re) in re 0.062 * [taylor]: Taking taylor expansion of re in re 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of re in re 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of (* im im) in re 0.062 * [taylor]: Taking taylor expansion of im in re 0.062 * [backup-simplify]: Simplify im into im 0.062 * [taylor]: Taking taylor expansion of im in re 0.062 * [backup-simplify]: Simplify im into im 0.062 * [backup-simplify]: Simplify (* 0 0) into 0 0.062 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.063 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.063 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.063 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.064 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.064 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.064 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.064 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.064 * [taylor]: Taking taylor expansion of (* re re) in re 0.064 * [taylor]: Taking taylor expansion of re in re 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 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 * [taylor]: Taking taylor expansion of (* im im) in re 0.065 * [taylor]: Taking taylor expansion of im in re 0.065 * [backup-simplify]: Simplify im into im 0.065 * [taylor]: Taking taylor expansion of im in re 0.065 * [backup-simplify]: Simplify im into im 0.065 * [backup-simplify]: Simplify (* 0 0) into 0 0.065 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.065 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.066 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.066 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.066 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.068 * [taylor]: Taking taylor expansion of im in im 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [taylor]: Taking taylor expansion of 0 in im 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.069 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.070 * [backup-simplify]: Simplify (+ 1 0) into 1 0.071 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.071 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.071 * [taylor]: Taking taylor expansion of 1/2 in im 0.071 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [taylor]: Taking taylor expansion of im in im 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.074 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.076 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.076 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.077 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.077 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.077 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.077 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.077 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.077 * [taylor]: Taking taylor expansion of re in im 0.077 * [backup-simplify]: Simplify re into re 0.077 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.077 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.077 * [taylor]: Taking taylor expansion of re in im 0.077 * [backup-simplify]: Simplify re into re 0.077 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.077 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.077 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.077 * [taylor]: Taking taylor expansion of im in im 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.078 * [taylor]: Taking taylor expansion of im in im 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (+ 0 1) into 1 0.079 * [backup-simplify]: Simplify (sqrt 1) into 1 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.083 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.083 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.083 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.083 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.083 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.084 * [backup-simplify]: Simplify im into im 0.084 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.084 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.084 * [backup-simplify]: Simplify im into im 0.084 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (+ 1 0) into 1 0.085 * [backup-simplify]: Simplify (sqrt 1) into 1 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 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 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.089 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.089 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.089 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.089 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re 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 re) in re 0.089 * [taylor]: Taking taylor expansion of re in re 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.090 * [backup-simplify]: Simplify im into im 0.090 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.090 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.090 * [backup-simplify]: Simplify im into im 0.090 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ 1 0) into 1 0.091 * [backup-simplify]: Simplify (sqrt 1) into 1 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.095 * [taylor]: Taking taylor expansion of 1 in im 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.098 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.098 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.099 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.099 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.099 * [taylor]: Taking taylor expansion of 1/2 in im 0.099 * [backup-simplify]: Simplify 1/2 into 1/2 0.099 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.109 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.109 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.109 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.109 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.109 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.110 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.110 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.110 * [taylor]: Taking taylor expansion of -1 in im 0.110 * [backup-simplify]: Simplify -1 into -1 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [backup-simplify]: Simplify re into re 0.110 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.110 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.110 * [taylor]: Taking taylor expansion of -1 in im 0.110 * [backup-simplify]: Simplify -1 into -1 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [backup-simplify]: Simplify re into re 0.110 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.110 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.110 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.110 * [taylor]: Taking taylor expansion of -1 in im 0.110 * [backup-simplify]: Simplify -1 into -1 0.110 * [taylor]: Taking taylor expansion of im in im 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (/ -1 1) into -1 0.111 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.111 * [taylor]: Taking taylor expansion of -1 in im 0.111 * [backup-simplify]: Simplify -1 into -1 0.111 * [taylor]: Taking taylor expansion of im in im 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (/ -1 1) into -1 0.112 * [backup-simplify]: Simplify (* -1 -1) into 1 0.112 * [backup-simplify]: Simplify (+ 0 1) into 1 0.112 * [backup-simplify]: Simplify (sqrt 1) into 1 0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.116 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.116 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.116 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.116 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.116 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.116 * [taylor]: Taking taylor expansion of -1 in re 0.116 * [backup-simplify]: Simplify -1 into -1 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ -1 1) into -1 0.117 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.117 * [taylor]: Taking taylor expansion of -1 in re 0.117 * [backup-simplify]: Simplify -1 into -1 0.117 * [taylor]: Taking taylor expansion of re in re 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ -1 1) into -1 0.118 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.118 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.118 * [taylor]: Taking taylor expansion of -1 in re 0.118 * [backup-simplify]: Simplify -1 into -1 0.118 * [taylor]: Taking taylor expansion of im in re 0.118 * [backup-simplify]: Simplify im into im 0.118 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.118 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.118 * [taylor]: Taking taylor expansion of -1 in re 0.118 * [backup-simplify]: Simplify -1 into -1 0.118 * [taylor]: Taking taylor expansion of im in re 0.118 * [backup-simplify]: Simplify im into im 0.118 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.118 * [backup-simplify]: Simplify (* -1 -1) into 1 0.119 * [backup-simplify]: Simplify (+ 1 0) into 1 0.119 * [backup-simplify]: Simplify (sqrt 1) into 1 0.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.123 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.123 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.123 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.123 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.123 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.123 * [taylor]: Taking taylor expansion of -1 in re 0.123 * [backup-simplify]: Simplify -1 into -1 0.123 * [taylor]: Taking taylor expansion of re in re 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ -1 1) into -1 0.124 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.124 * [taylor]: Taking taylor expansion of -1 in re 0.124 * [backup-simplify]: Simplify -1 into -1 0.124 * [taylor]: Taking taylor expansion of re in re 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ -1 1) into -1 0.124 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.124 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.124 * [taylor]: Taking taylor expansion of -1 in re 0.125 * [backup-simplify]: Simplify -1 into -1 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [backup-simplify]: Simplify im into im 0.125 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.125 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.125 * [taylor]: Taking taylor expansion of -1 in re 0.125 * [backup-simplify]: Simplify -1 into -1 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [backup-simplify]: Simplify im into im 0.125 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.125 * [backup-simplify]: Simplify (* -1 -1) into 1 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.126 * [backup-simplify]: Simplify (sqrt 1) into 1 0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.129 * [taylor]: Taking taylor expansion of 1 in im 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.131 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.131 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.132 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.132 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.132 * [taylor]: Taking taylor expansion of 1/2 in im 0.132 * [backup-simplify]: Simplify 1/2 into 1/2 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.136 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.138 * * * [progress]: simplifying candidates 0.139 * [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)) im re (* -1 re) 0.139 * * [simplify]: iteration 0: 17 enodes 0.141 * * [simplify]: iteration 1: 22 enodes 0.143 * * [simplify]: iteration 2: 25 enodes 0.146 * * [simplify]: iteration 3: 30 enodes 0.150 * * [simplify]: iteration 4: 38 enodes 0.159 * * [simplify]: iteration 5: 72 enodes 0.178 * * [simplify]: iteration 6: 141 enodes 0.206 * * [simplify]: iteration 7: 324 enodes 0.362 * * [simplify]: iteration 8: 1049 enodes 1.507 * * [simplify]: iteration complete: 5001 enodes 1.507 * * [simplify]: Extracting #0: cost 12 inf + 0 1.508 * * [simplify]: Extracting #1: cost 198 inf + 2 1.514 * * [simplify]: Extracting #2: cost 1414 inf + 73 1.529 * * [simplify]: Extracting #3: cost 1506 inf + 138 1.538 * * [simplify]: Extracting #4: cost 882 inf + 7164 1.548 * * [simplify]: Extracting #5: cost 45 inf + 20851 1.556 * * [simplify]: Extracting #6: cost 0 inf + 21350 1.563 * * [simplify]: Extracting #7: cost 0 inf + 21348 1.567 * [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)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (- re) 1.568 * * * [progress]: adding candidates to table 1.642 * * [progress]: iteration 2 / 4 1.642 * * * [progress]: picking best candidate 1.648 * * * * [pick]: Picked # 1.648 * * * [progress]: localizing error 1.666 * * * [progress]: generating rewritten candidates 1.666 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.684 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.685 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.687 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.689 * * * [progress]: generating series expansions 1.689 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.689 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 1.689 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.689 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.689 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.689 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.689 * [taylor]: Taking taylor expansion of (* re re) in im 1.689 * [taylor]: Taking taylor expansion of re in im 1.689 * [backup-simplify]: Simplify re into re 1.689 * [taylor]: Taking taylor expansion of re in im 1.689 * [backup-simplify]: Simplify re into re 1.689 * [taylor]: Taking taylor expansion of (* im im) in im 1.689 * [taylor]: Taking taylor expansion of im in im 1.689 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [taylor]: Taking taylor expansion of im in im 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.690 * [backup-simplify]: Simplify (* 0 0) into 0 1.690 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.690 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.690 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.691 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.691 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.691 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.691 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.691 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.691 * [taylor]: Taking taylor expansion of (* re re) in re 1.691 * [taylor]: Taking taylor expansion of re in re 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [taylor]: Taking taylor expansion of re in re 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [taylor]: Taking taylor expansion of (* im im) in re 1.691 * [taylor]: Taking taylor expansion of im in re 1.691 * [backup-simplify]: Simplify im into im 1.691 * [taylor]: Taking taylor expansion of im in re 1.691 * [backup-simplify]: Simplify im into im 1.692 * [backup-simplify]: Simplify (* 0 0) into 0 1.692 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.692 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.692 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.692 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.692 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.693 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.693 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.693 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.693 * [taylor]: Taking taylor expansion of (* re re) in re 1.693 * [taylor]: Taking taylor expansion of re in re 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.693 * [taylor]: Taking taylor expansion of re in re 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.693 * [taylor]: Taking taylor expansion of (* im im) in re 1.693 * [taylor]: Taking taylor expansion of im in re 1.693 * [backup-simplify]: Simplify im into im 1.693 * [taylor]: Taking taylor expansion of im in re 1.693 * [backup-simplify]: Simplify im into im 1.693 * [backup-simplify]: Simplify (* 0 0) into 0 1.693 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.693 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.693 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.694 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.694 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.694 * [backup-simplify]: Simplify (+ 0 0) into 0 1.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.694 * [taylor]: Taking taylor expansion of im in im 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [taylor]: Taking taylor expansion of 0 in im 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.695 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.695 * [backup-simplify]: Simplify (+ 1 0) into 1 1.696 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.696 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.696 * [taylor]: Taking taylor expansion of 1/2 in im 1.696 * [backup-simplify]: Simplify 1/2 into 1/2 1.696 * [taylor]: Taking taylor expansion of im in im 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.698 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.698 * [taylor]: Taking taylor expansion of 0 in im 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.699 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 1.699 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.699 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.699 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.699 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.699 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.699 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.699 * [taylor]: Taking taylor expansion of re in im 1.699 * [backup-simplify]: Simplify re into re 1.699 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.699 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.700 * [taylor]: Taking taylor expansion of re in im 1.700 * [backup-simplify]: Simplify re into re 1.700 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.700 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.700 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.700 * [taylor]: Taking taylor expansion of im in im 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 1 into 1 1.700 * [backup-simplify]: Simplify (/ 1 1) into 1 1.700 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.700 * [taylor]: Taking taylor expansion of im in im 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 1 into 1 1.700 * [backup-simplify]: Simplify (/ 1 1) into 1 1.700 * [backup-simplify]: Simplify (* 1 1) into 1 1.701 * [backup-simplify]: Simplify (+ 0 1) into 1 1.701 * [backup-simplify]: Simplify (sqrt 1) into 1 1.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.702 * [backup-simplify]: Simplify (+ 0 0) into 0 1.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.703 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.703 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.703 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.703 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.703 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.703 * [taylor]: Taking taylor expansion of re in re 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (/ 1 1) into 1 1.703 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.703 * [taylor]: Taking taylor expansion of re in re 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 1 into 1 1.704 * [backup-simplify]: Simplify (/ 1 1) into 1 1.704 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.704 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.704 * [taylor]: Taking taylor expansion of im in re 1.704 * [backup-simplify]: Simplify im into im 1.704 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.704 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.704 * [taylor]: Taking taylor expansion of im in re 1.704 * [backup-simplify]: Simplify im into im 1.704 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.704 * [backup-simplify]: Simplify (* 1 1) into 1 1.704 * [backup-simplify]: Simplify (+ 1 0) into 1 1.704 * [backup-simplify]: Simplify (sqrt 1) into 1 1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.706 * [backup-simplify]: Simplify (+ 0 0) into 0 1.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.706 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.706 * [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 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 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 im) (/ 1 im)) in re 1.707 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.707 * [taylor]: Taking taylor expansion of im in re 1.707 * [backup-simplify]: Simplify im into im 1.707 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.707 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.707 * [taylor]: Taking taylor expansion of im in re 1.707 * [backup-simplify]: Simplify im into im 1.707 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.708 * [backup-simplify]: Simplify (* 1 1) into 1 1.708 * [backup-simplify]: Simplify (+ 1 0) into 1 1.708 * [backup-simplify]: Simplify (sqrt 1) into 1 1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.710 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.711 * [taylor]: Taking taylor expansion of 1 in im 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [taylor]: Taking taylor expansion of 0 in im 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.714 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.714 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.715 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.715 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.715 * [taylor]: Taking taylor expansion of 1/2 in im 1.715 * [backup-simplify]: Simplify 1/2 into 1/2 1.715 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.716 * [taylor]: Taking taylor expansion of im in im 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* 1 1) into 1 1.716 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.726 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.727 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.728 * [taylor]: Taking taylor expansion of 0 in im 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.730 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 1.730 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.730 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.730 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.730 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.730 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.730 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.730 * [taylor]: Taking taylor expansion of -1 in im 1.731 * [backup-simplify]: Simplify -1 into -1 1.731 * [taylor]: Taking taylor expansion of re in im 1.731 * [backup-simplify]: Simplify re into re 1.731 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.731 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.731 * [taylor]: Taking taylor expansion of -1 in im 1.731 * [backup-simplify]: Simplify -1 into -1 1.731 * [taylor]: Taking taylor expansion of re in im 1.731 * [backup-simplify]: Simplify re into re 1.731 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.731 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.731 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.731 * [taylor]: Taking taylor expansion of -1 in im 1.731 * [backup-simplify]: Simplify -1 into -1 1.731 * [taylor]: Taking taylor expansion of im in im 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [backup-simplify]: Simplify (/ -1 1) into -1 1.731 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.731 * [taylor]: Taking taylor expansion of -1 in im 1.731 * [backup-simplify]: Simplify -1 into -1 1.732 * [taylor]: Taking taylor expansion of im in im 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [backup-simplify]: Simplify (/ -1 1) into -1 1.732 * [backup-simplify]: Simplify (* -1 -1) into 1 1.733 * [backup-simplify]: Simplify (+ 0 1) into 1 1.733 * [backup-simplify]: Simplify (sqrt 1) into 1 1.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.737 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.737 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.737 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.737 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.737 * [taylor]: Taking taylor expansion of -1 in re 1.737 * [backup-simplify]: Simplify -1 into -1 1.737 * [taylor]: Taking taylor expansion of re in re 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (/ -1 1) into -1 1.737 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.737 * [taylor]: Taking taylor expansion of -1 in re 1.737 * [backup-simplify]: Simplify -1 into -1 1.737 * [taylor]: Taking taylor expansion of re in re 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (/ -1 1) into -1 1.738 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.738 * [taylor]: Taking taylor expansion of -1 in re 1.738 * [backup-simplify]: Simplify -1 into -1 1.738 * [taylor]: Taking taylor expansion of im in re 1.738 * [backup-simplify]: Simplify im into im 1.738 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.738 * [taylor]: Taking taylor expansion of -1 in re 1.738 * [backup-simplify]: Simplify -1 into -1 1.738 * [taylor]: Taking taylor expansion of im in re 1.738 * [backup-simplify]: Simplify im into im 1.738 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.738 * [backup-simplify]: Simplify (* -1 -1) into 1 1.738 * [backup-simplify]: Simplify (+ 1 0) into 1 1.739 * [backup-simplify]: Simplify (sqrt 1) into 1 1.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.740 * [backup-simplify]: Simplify (+ 0 0) into 0 1.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.741 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.741 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.741 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.741 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.741 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.741 * [taylor]: Taking taylor expansion of -1 in re 1.741 * [backup-simplify]: Simplify -1 into -1 1.741 * [taylor]: Taking taylor expansion of re in re 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (/ -1 1) into -1 1.741 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.741 * [taylor]: Taking taylor expansion of -1 in re 1.741 * [backup-simplify]: Simplify -1 into -1 1.741 * [taylor]: Taking taylor expansion of re in re 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 1 into 1 1.742 * [backup-simplify]: Simplify (/ -1 1) into -1 1.742 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.742 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.742 * [taylor]: Taking taylor expansion of -1 in re 1.742 * [backup-simplify]: Simplify -1 into -1 1.742 * [taylor]: Taking taylor expansion of im in re 1.742 * [backup-simplify]: Simplify im into im 1.742 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.742 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.742 * [taylor]: Taking taylor expansion of -1 in re 1.742 * [backup-simplify]: Simplify -1 into -1 1.742 * [taylor]: Taking taylor expansion of im in re 1.742 * [backup-simplify]: Simplify im into im 1.742 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.742 * [backup-simplify]: Simplify (* -1 -1) into 1 1.742 * [backup-simplify]: Simplify (+ 1 0) into 1 1.743 * [backup-simplify]: Simplify (sqrt 1) into 1 1.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.744 * [backup-simplify]: Simplify (+ 0 0) into 0 1.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.745 * [taylor]: Taking taylor expansion of 1 in im 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of 0 in im 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.746 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.747 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.747 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.747 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.747 * [taylor]: Taking taylor expansion of 1/2 in im 1.747 * [backup-simplify]: Simplify 1/2 into 1/2 1.747 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.747 * [taylor]: Taking taylor expansion of im in im 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (* 1 1) into 1 1.748 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.751 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.751 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.751 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.752 * [taylor]: Taking taylor expansion of 0 in im 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.753 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.753 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im)) 1.753 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 1.753 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.753 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.753 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.753 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.753 * [taylor]: Taking taylor expansion of (* re re) in im 1.753 * [taylor]: Taking taylor expansion of re in im 1.753 * [backup-simplify]: Simplify re into re 1.753 * [taylor]: Taking taylor expansion of re in im 1.753 * [backup-simplify]: Simplify re into re 1.753 * [taylor]: Taking taylor expansion of (* im im) in im 1.753 * [taylor]: Taking taylor expansion of im in im 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [taylor]: Taking taylor expansion of im in im 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.754 * [backup-simplify]: Simplify (* 0 0) into 0 1.754 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.754 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.754 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.754 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.755 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 1.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 1.755 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.755 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.755 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.755 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.755 * [taylor]: Taking taylor expansion of (* re re) in re 1.755 * [taylor]: Taking taylor expansion of re in re 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [taylor]: Taking taylor expansion of re in re 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [taylor]: Taking taylor expansion of (* im im) in re 1.755 * [taylor]: Taking taylor expansion of im in re 1.755 * [backup-simplify]: Simplify im into im 1.755 * [taylor]: Taking taylor expansion of im in re 1.755 * [backup-simplify]: Simplify im into im 1.755 * [backup-simplify]: Simplify (* 0 0) into 0 1.755 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.755 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.755 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.756 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.756 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.756 * [backup-simplify]: Simplify (+ 0 0) into 0 1.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.756 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 1.756 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.756 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.756 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.756 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.756 * [taylor]: Taking taylor expansion of (* re re) in re 1.757 * [taylor]: Taking taylor expansion of re in re 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of re in re 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of (* im im) in re 1.757 * [taylor]: Taking taylor expansion of im in re 1.757 * [backup-simplify]: Simplify im into im 1.757 * [taylor]: Taking taylor expansion of im in re 1.757 * [backup-simplify]: Simplify im into im 1.757 * [backup-simplify]: Simplify (* 0 0) into 0 1.757 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.757 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.757 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.757 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.758 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.758 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 1.758 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.758 * [taylor]: Taking taylor expansion of im in im 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (sqrt 0) into 0 1.759 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in im 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.760 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.761 * [backup-simplify]: Simplify (+ 1 0) into 1 1.761 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.762 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 1.762 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 1.762 * [taylor]: Taking taylor expansion of 1/4 in im 1.762 * [backup-simplify]: Simplify 1/4 into 1/4 1.762 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.762 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.762 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.762 * [taylor]: Taking taylor expansion of im in im 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (* 1 1) into 1 1.762 * [backup-simplify]: Simplify (* 1 1) into 1 1.762 * [backup-simplify]: Simplify (/ 1 1) into 1 1.763 * [backup-simplify]: Simplify (sqrt 0) into 0 1.763 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.770 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.771 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.771 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.774 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.775 * [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)))))) 1.775 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im))) 1.775 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.775 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.775 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.775 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.775 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.775 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.775 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.775 * [taylor]: Taking taylor expansion of re in im 1.775 * [backup-simplify]: Simplify re into re 1.776 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.776 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.776 * [taylor]: Taking taylor expansion of re in im 1.776 * [backup-simplify]: Simplify re into re 1.776 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.776 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.776 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.776 * [taylor]: Taking taylor expansion of im in im 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [backup-simplify]: Simplify (/ 1 1) into 1 1.776 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.776 * [taylor]: Taking taylor expansion of im in im 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.777 * [backup-simplify]: Simplify (/ 1 1) into 1 1.777 * [backup-simplify]: Simplify (* 1 1) into 1 1.778 * [backup-simplify]: Simplify (+ 0 1) into 1 1.778 * [backup-simplify]: Simplify (sqrt 1) into 1 1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.782 * [backup-simplify]: Simplify (sqrt 0) into 0 1.783 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.783 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.783 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.783 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.783 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.783 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.783 * [taylor]: Taking taylor expansion of re in re 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.784 * [taylor]: Taking taylor expansion of re in re 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.784 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.784 * [taylor]: Taking taylor expansion of im in re 1.784 * [backup-simplify]: Simplify im into im 1.785 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.785 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.785 * [taylor]: Taking taylor expansion of im in re 1.785 * [backup-simplify]: Simplify im into im 1.785 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.785 * [backup-simplify]: Simplify (* 1 1) into 1 1.785 * [backup-simplify]: Simplify (+ 1 0) into 1 1.786 * [backup-simplify]: Simplify (sqrt 1) into 1 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.789 * [backup-simplify]: Simplify (+ 0 0) into 0 1.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.789 * [backup-simplify]: Simplify (sqrt 0) into 0 1.790 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.790 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.790 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.790 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.790 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.790 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.790 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.790 * [taylor]: Taking taylor expansion of re in re 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.791 * [taylor]: Taking taylor expansion of re in re 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.791 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.791 * [taylor]: Taking taylor expansion of im in re 1.791 * [backup-simplify]: Simplify im into im 1.791 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.791 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.791 * [taylor]: Taking taylor expansion of im in re 1.791 * [backup-simplify]: Simplify im into im 1.791 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.791 * [backup-simplify]: Simplify (* 1 1) into 1 1.792 * [backup-simplify]: Simplify (+ 1 0) into 1 1.792 * [backup-simplify]: Simplify (sqrt 1) into 1 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.794 * [backup-simplify]: Simplify (sqrt 0) into 0 1.795 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.795 * [taylor]: Taking taylor expansion of 0 in im 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [taylor]: Taking taylor expansion of +nan.0 in im 1.795 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.795 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.797 * [taylor]: Taking taylor expansion of +nan.0 in im 1.797 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.797 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.799 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.799 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.799 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.801 * [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)) 1.801 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.801 * [taylor]: Taking taylor expansion of +nan.0 in im 1.801 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.801 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.801 * [taylor]: Taking taylor expansion of 1/2 in im 1.801 * [backup-simplify]: Simplify 1/2 into 1/2 1.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.801 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.801 * [taylor]: Taking taylor expansion of im in im 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (* 1 1) into 1 1.801 * [backup-simplify]: Simplify (/ 1 1) into 1 1.801 * [taylor]: Taking taylor expansion of +nan.0 in im 1.801 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.803 * [backup-simplify]: Simplify (+ 0 0) into 0 1.803 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.803 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.804 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.806 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.806 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.808 * [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))) 1.808 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.808 * [taylor]: Taking taylor expansion of +nan.0 in im 1.808 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.808 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.808 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.808 * [taylor]: Taking taylor expansion of +nan.0 in im 1.808 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.808 * [taylor]: Taking taylor expansion of im in im 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.808 * [backup-simplify]: Simplify (* 1 1) into 1 1.808 * [backup-simplify]: Simplify (/ 1 1) into 1 1.808 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.808 * [taylor]: Taking taylor expansion of +nan.0 in im 1.809 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 1.811 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.811 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 1.811 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.813 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.813 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.815 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 1.815 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.816 * [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))))) 1.816 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im))) 1.816 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.816 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.816 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.816 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.816 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.816 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.816 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.816 * [taylor]: Taking taylor expansion of -1 in im 1.816 * [backup-simplify]: Simplify -1 into -1 1.816 * [taylor]: Taking taylor expansion of re in im 1.816 * [backup-simplify]: Simplify re into re 1.816 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.816 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.816 * [taylor]: Taking taylor expansion of -1 in im 1.816 * [backup-simplify]: Simplify -1 into -1 1.816 * [taylor]: Taking taylor expansion of re in im 1.816 * [backup-simplify]: Simplify re into re 1.816 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.816 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.816 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.816 * [taylor]: Taking taylor expansion of -1 in im 1.816 * [backup-simplify]: Simplify -1 into -1 1.816 * [taylor]: Taking taylor expansion of im in im 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (/ -1 1) into -1 1.817 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.817 * [taylor]: Taking taylor expansion of -1 in im 1.817 * [backup-simplify]: Simplify -1 into -1 1.817 * [taylor]: Taking taylor expansion of im in im 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (/ -1 1) into -1 1.818 * [backup-simplify]: Simplify (* -1 -1) into 1 1.818 * [backup-simplify]: Simplify (+ 0 1) into 1 1.818 * [backup-simplify]: Simplify (sqrt 1) into 1 1.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.822 * [backup-simplify]: Simplify (sqrt 0) into 0 1.824 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.824 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.824 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.824 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.824 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.824 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.824 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.824 * [taylor]: Taking taylor expansion of -1 in re 1.824 * [backup-simplify]: Simplify -1 into -1 1.824 * [taylor]: Taking taylor expansion of re in re 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (/ -1 1) into -1 1.825 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.825 * [taylor]: Taking taylor expansion of -1 in re 1.825 * [backup-simplify]: Simplify -1 into -1 1.825 * [taylor]: Taking taylor expansion of re in re 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (/ -1 1) into -1 1.825 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.825 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.825 * [taylor]: Taking taylor expansion of -1 in re 1.825 * [backup-simplify]: Simplify -1 into -1 1.825 * [taylor]: Taking taylor expansion of im in re 1.825 * [backup-simplify]: Simplify im into im 1.825 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.825 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.825 * [taylor]: Taking taylor expansion of -1 in re 1.825 * [backup-simplify]: Simplify -1 into -1 1.825 * [taylor]: Taking taylor expansion of im in re 1.826 * [backup-simplify]: Simplify im into im 1.826 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.826 * [backup-simplify]: Simplify (* -1 -1) into 1 1.826 * [backup-simplify]: Simplify (+ 1 0) into 1 1.827 * [backup-simplify]: Simplify (sqrt 1) into 1 1.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.829 * [backup-simplify]: Simplify (+ 0 0) into 0 1.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.831 * [backup-simplify]: Simplify (sqrt 0) into 0 1.832 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.832 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.832 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.832 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.832 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.832 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.832 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.832 * [taylor]: Taking taylor expansion of -1 in re 1.832 * [backup-simplify]: Simplify -1 into -1 1.832 * [taylor]: Taking taylor expansion of re in re 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 1 into 1 1.833 * [backup-simplify]: Simplify (/ -1 1) into -1 1.833 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.833 * [taylor]: Taking taylor expansion of -1 in re 1.833 * [backup-simplify]: Simplify -1 into -1 1.833 * [taylor]: Taking taylor expansion of re in re 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (/ -1 1) into -1 1.837 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.837 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.837 * [taylor]: Taking taylor expansion of -1 in re 1.837 * [backup-simplify]: Simplify -1 into -1 1.837 * [taylor]: Taking taylor expansion of im in re 1.837 * [backup-simplify]: Simplify im into im 1.837 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.837 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.837 * [taylor]: Taking taylor expansion of -1 in re 1.837 * [backup-simplify]: Simplify -1 into -1 1.837 * [taylor]: Taking taylor expansion of im in re 1.837 * [backup-simplify]: Simplify im into im 1.837 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.838 * [backup-simplify]: Simplify (* -1 -1) into 1 1.838 * [backup-simplify]: Simplify (+ 1 0) into 1 1.838 * [backup-simplify]: Simplify (sqrt 1) into 1 1.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.840 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.840 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.841 * [backup-simplify]: Simplify (sqrt 0) into 0 1.841 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.841 * [taylor]: Taking taylor expansion of 0 in im 1.841 * [backup-simplify]: Simplify 0 into 0 1.842 * [taylor]: Taking taylor expansion of +nan.0 in im 1.842 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.842 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.843 * [taylor]: Taking taylor expansion of +nan.0 in im 1.843 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.843 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.843 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.845 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.845 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.846 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.847 * [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)) 1.847 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.847 * [taylor]: Taking taylor expansion of +nan.0 in im 1.847 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.847 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.847 * [taylor]: Taking taylor expansion of 1/2 in im 1.847 * [backup-simplify]: Simplify 1/2 into 1/2 1.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.847 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.847 * [taylor]: Taking taylor expansion of im in im 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (* 1 1) into 1 1.848 * [backup-simplify]: Simplify (/ 1 1) into 1 1.848 * [taylor]: Taking taylor expansion of +nan.0 in im 1.848 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.850 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.850 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.850 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.850 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.852 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.852 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.852 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.853 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.854 * [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))) 1.854 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.854 * [taylor]: Taking taylor expansion of +nan.0 in im 1.854 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.854 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.854 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.854 * [taylor]: Taking taylor expansion of +nan.0 in im 1.854 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.854 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.854 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.854 * [taylor]: Taking taylor expansion of im in im 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (* 1 1) into 1 1.855 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.855 * [taylor]: Taking taylor expansion of +nan.0 in im 1.855 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 1.857 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.858 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.859 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.860 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.862 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 1.862 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.863 * [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))))) 1.863 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.864 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im)) 1.864 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 1.864 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.864 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.864 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.864 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.864 * [taylor]: Taking taylor expansion of (* re re) in im 1.864 * [taylor]: Taking taylor expansion of re in im 1.864 * [backup-simplify]: Simplify re into re 1.864 * [taylor]: Taking taylor expansion of re in im 1.864 * [backup-simplify]: Simplify re into re 1.864 * [taylor]: Taking taylor expansion of (* im im) in im 1.864 * [taylor]: Taking taylor expansion of im in im 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [taylor]: Taking taylor expansion of im in im 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.865 * [backup-simplify]: Simplify (* 0 0) into 0 1.865 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.865 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.865 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.866 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.866 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.866 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 1.866 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.866 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.867 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.867 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.867 * [taylor]: Taking taylor expansion of (* re re) in re 1.867 * [taylor]: Taking taylor expansion of re in re 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [taylor]: Taking taylor expansion of re in re 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [taylor]: Taking taylor expansion of (* im im) in re 1.867 * [taylor]: Taking taylor expansion of im in re 1.867 * [backup-simplify]: Simplify im into im 1.867 * [taylor]: Taking taylor expansion of im in re 1.867 * [backup-simplify]: Simplify im into im 1.867 * [backup-simplify]: Simplify (* 0 0) into 0 1.867 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.868 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.868 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.868 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.868 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.869 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.869 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 1.869 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.869 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.869 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.869 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.869 * [taylor]: Taking taylor expansion of (* re re) in re 1.870 * [taylor]: Taking taylor expansion of re in re 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [taylor]: Taking taylor expansion of re in re 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [taylor]: Taking taylor expansion of (* im im) in re 1.870 * [taylor]: Taking taylor expansion of im in re 1.870 * [backup-simplify]: Simplify im into im 1.870 * [taylor]: Taking taylor expansion of im in re 1.870 * [backup-simplify]: Simplify im into im 1.870 * [backup-simplify]: Simplify (* 0 0) into 0 1.870 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.870 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.871 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.871 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.872 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.872 * [backup-simplify]: Simplify (+ 0 0) into 0 1.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.872 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 1.872 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.872 * [taylor]: Taking taylor expansion of im in im 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (sqrt 0) into 0 1.874 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [taylor]: Taking taylor expansion of 0 in im 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.875 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.876 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.876 * [backup-simplify]: Simplify (+ 1 0) into 1 1.877 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.878 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 1.878 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 1.878 * [taylor]: Taking taylor expansion of 1/4 in im 1.878 * [backup-simplify]: Simplify 1/4 into 1/4 1.878 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.878 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.878 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.878 * [taylor]: Taking taylor expansion of im in im 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (* 1 1) into 1 1.879 * [backup-simplify]: Simplify (* 1 1) into 1 1.879 * [backup-simplify]: Simplify (/ 1 1) into 1 1.879 * [backup-simplify]: Simplify (sqrt 0) into 0 1.881 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.888 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.889 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.889 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.892 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.893 * [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)))))) 1.894 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im))) 1.894 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.894 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.894 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.894 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.894 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.894 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.894 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.894 * [taylor]: Taking taylor expansion of re in im 1.894 * [backup-simplify]: Simplify re into re 1.894 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.894 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.894 * [taylor]: Taking taylor expansion of re in im 1.894 * [backup-simplify]: Simplify re into re 1.894 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.894 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.894 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.894 * [taylor]: Taking taylor expansion of im in im 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.895 * [taylor]: Taking taylor expansion of im in im 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [backup-simplify]: Simplify (* 1 1) into 1 1.896 * [backup-simplify]: Simplify (+ 0 1) into 1 1.896 * [backup-simplify]: Simplify (sqrt 1) into 1 1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.900 * [backup-simplify]: Simplify (sqrt 0) into 0 1.901 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.901 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.901 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.901 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.901 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.901 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.901 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.901 * [taylor]: Taking taylor expansion of re in re 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (/ 1 1) into 1 1.902 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.902 * [taylor]: Taking taylor expansion of re in re 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (/ 1 1) into 1 1.902 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.902 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.902 * [taylor]: Taking taylor expansion of im in re 1.902 * [backup-simplify]: Simplify im into im 1.902 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.902 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.902 * [taylor]: Taking taylor expansion of im in re 1.902 * [backup-simplify]: Simplify im into im 1.902 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.903 * [backup-simplify]: Simplify (* 1 1) into 1 1.903 * [backup-simplify]: Simplify (+ 1 0) into 1 1.904 * [backup-simplify]: Simplify (sqrt 1) into 1 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.906 * [backup-simplify]: Simplify (+ 0 0) into 0 1.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.907 * [backup-simplify]: Simplify (sqrt 0) into 0 1.908 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.908 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.908 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.908 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.908 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.908 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.908 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.908 * [taylor]: Taking taylor expansion of re in re 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (/ 1 1) into 1 1.909 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.909 * [taylor]: Taking taylor expansion of re in re 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (/ 1 1) into 1 1.909 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.909 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.909 * [taylor]: Taking taylor expansion of im in re 1.909 * [backup-simplify]: Simplify im into im 1.909 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.909 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.909 * [taylor]: Taking taylor expansion of im in re 1.909 * [backup-simplify]: Simplify im into im 1.909 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.910 * [backup-simplify]: Simplify (* 1 1) into 1 1.910 * [backup-simplify]: Simplify (+ 1 0) into 1 1.911 * [backup-simplify]: Simplify (sqrt 1) into 1 1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.914 * [backup-simplify]: Simplify (sqrt 0) into 0 1.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.915 * [taylor]: Taking taylor expansion of 0 in im 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [taylor]: Taking taylor expansion of +nan.0 in im 1.915 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.915 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.918 * [taylor]: Taking taylor expansion of +nan.0 in im 1.918 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.918 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.918 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.921 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.921 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.922 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.924 * [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)) 1.924 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.924 * [taylor]: Taking taylor expansion of +nan.0 in im 1.924 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.924 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.924 * [taylor]: Taking taylor expansion of 1/2 in im 1.924 * [backup-simplify]: Simplify 1/2 into 1/2 1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.924 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.924 * [taylor]: Taking taylor expansion of im in im 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (* 1 1) into 1 1.925 * [backup-simplify]: Simplify (/ 1 1) into 1 1.925 * [taylor]: Taking taylor expansion of +nan.0 in im 1.925 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.928 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.929 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.934 * [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))) 1.934 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.934 * [taylor]: Taking taylor expansion of +nan.0 in im 1.934 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.934 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.934 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.934 * [taylor]: Taking taylor expansion of +nan.0 in im 1.934 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.934 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.934 * [taylor]: Taking taylor expansion of im in im 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (* 1 1) into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.935 * [taylor]: Taking taylor expansion of +nan.0 in im 1.935 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 1.938 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.939 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.942 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.943 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.945 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 1.945 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.946 * [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))))) 1.946 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im))) 1.946 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.946 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.946 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.946 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.946 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.946 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.946 * [taylor]: Taking taylor expansion of -1 in im 1.946 * [backup-simplify]: Simplify -1 into -1 1.947 * [taylor]: Taking taylor expansion of re in im 1.947 * [backup-simplify]: Simplify re into re 1.947 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.947 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.947 * [taylor]: Taking taylor expansion of -1 in im 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * [taylor]: Taking taylor expansion of re in im 1.947 * [backup-simplify]: Simplify re into re 1.947 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.947 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.947 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.947 * [taylor]: Taking taylor expansion of -1 in im 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * [taylor]: Taking taylor expansion of im in im 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (/ -1 1) into -1 1.947 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.947 * [taylor]: Taking taylor expansion of -1 in im 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * [taylor]: Taking taylor expansion of im in im 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (/ -1 1) into -1 1.948 * [backup-simplify]: Simplify (* -1 -1) into 1 1.949 * [backup-simplify]: Simplify (+ 0 1) into 1 1.949 * [backup-simplify]: Simplify (sqrt 1) into 1 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.951 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.952 * [backup-simplify]: Simplify (sqrt 0) into 0 1.954 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.954 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.954 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.954 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.954 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.954 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.954 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.954 * [taylor]: Taking taylor expansion of -1 in re 1.954 * [backup-simplify]: Simplify -1 into -1 1.954 * [taylor]: Taking taylor expansion of re in re 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (/ -1 1) into -1 1.955 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.955 * [taylor]: Taking taylor expansion of -1 in re 1.955 * [backup-simplify]: Simplify -1 into -1 1.955 * [taylor]: Taking taylor expansion of re in re 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (/ -1 1) into -1 1.955 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.955 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.955 * [taylor]: Taking taylor expansion of -1 in re 1.955 * [backup-simplify]: Simplify -1 into -1 1.955 * [taylor]: Taking taylor expansion of im in re 1.955 * [backup-simplify]: Simplify im into im 1.955 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.955 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.955 * [taylor]: Taking taylor expansion of -1 in re 1.955 * [backup-simplify]: Simplify -1 into -1 1.955 * [taylor]: Taking taylor expansion of im in re 1.955 * [backup-simplify]: Simplify im into im 1.955 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.956 * [backup-simplify]: Simplify (* -1 -1) into 1 1.956 * [backup-simplify]: Simplify (+ 1 0) into 1 1.957 * [backup-simplify]: Simplify (sqrt 1) into 1 1.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.960 * [backup-simplify]: Simplify (sqrt 0) into 0 1.961 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.961 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.961 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.962 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.962 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.962 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.962 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.962 * [taylor]: Taking taylor expansion of -1 in re 1.962 * [backup-simplify]: Simplify -1 into -1 1.962 * [taylor]: Taking taylor expansion of re in re 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (/ -1 1) into -1 1.968 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.968 * [taylor]: Taking taylor expansion of -1 in re 1.968 * [backup-simplify]: Simplify -1 into -1 1.968 * [taylor]: Taking taylor expansion of re in re 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ -1 1) into -1 1.969 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.969 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.969 * [taylor]: Taking taylor expansion of -1 in re 1.969 * [backup-simplify]: Simplify -1 into -1 1.969 * [taylor]: Taking taylor expansion of im in re 1.969 * [backup-simplify]: Simplify im into im 1.969 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.969 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.969 * [taylor]: Taking taylor expansion of -1 in re 1.969 * [backup-simplify]: Simplify -1 into -1 1.969 * [taylor]: Taking taylor expansion of im in re 1.969 * [backup-simplify]: Simplify im into im 1.969 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.969 * [backup-simplify]: Simplify (* -1 -1) into 1 1.970 * [backup-simplify]: Simplify (+ 1 0) into 1 1.970 * [backup-simplify]: Simplify (sqrt 1) into 1 1.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.974 * [backup-simplify]: Simplify (sqrt 0) into 0 1.975 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.975 * [taylor]: Taking taylor expansion of 0 in im 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [taylor]: Taking taylor expansion of +nan.0 in im 1.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.975 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.978 * [taylor]: Taking taylor expansion of +nan.0 in im 1.978 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.978 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.981 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.981 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.982 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.984 * [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)) 1.984 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.984 * [taylor]: Taking taylor expansion of +nan.0 in im 1.984 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.984 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.984 * [taylor]: Taking taylor expansion of 1/2 in im 1.984 * [backup-simplify]: Simplify 1/2 into 1/2 1.984 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.984 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.984 * [taylor]: Taking taylor expansion of im in im 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.985 * [backup-simplify]: Simplify (* 1 1) into 1 1.985 * [backup-simplify]: Simplify (/ 1 1) into 1 1.985 * [taylor]: Taking taylor expansion of +nan.0 in im 1.985 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.988 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.989 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.992 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.992 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.992 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.994 * [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))) 1.994 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.994 * [taylor]: Taking taylor expansion of +nan.0 in im 1.994 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.994 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.994 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.994 * [taylor]: Taking taylor expansion of +nan.0 in im 1.994 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.994 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.994 * [taylor]: Taking taylor expansion of im in im 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (* 1 1) into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.995 * [taylor]: Taking taylor expansion of +nan.0 in im 1.995 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 1.997 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.997 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.999 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.000 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 2.001 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 2.001 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.002 * [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))))) 2.002 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.002 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 2.002 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 2.002 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.002 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.002 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.002 * [taylor]: Taking taylor expansion of (* re re) in im 2.002 * [taylor]: Taking taylor expansion of re in im 2.002 * [backup-simplify]: Simplify re into re 2.002 * [taylor]: Taking taylor expansion of re in im 2.002 * [backup-simplify]: Simplify re into re 2.002 * [taylor]: Taking taylor expansion of (* im im) in im 2.002 * [taylor]: Taking taylor expansion of im in im 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [taylor]: Taking taylor expansion of im in im 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.003 * [backup-simplify]: Simplify (* 0 0) into 0 2.003 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.003 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.003 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.003 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.004 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.004 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.004 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.004 * [taylor]: Taking taylor expansion of (* re re) in re 2.004 * [taylor]: Taking taylor expansion of re in re 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [taylor]: Taking taylor expansion of re in re 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [taylor]: Taking taylor expansion of (* im im) in re 2.004 * [taylor]: Taking taylor expansion of im in re 2.004 * [backup-simplify]: Simplify im into im 2.004 * [taylor]: Taking taylor expansion of im in re 2.004 * [backup-simplify]: Simplify im into im 2.004 * [backup-simplify]: Simplify (* 0 0) into 0 2.004 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.004 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.004 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.005 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.005 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.005 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.005 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.005 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.005 * [taylor]: Taking taylor expansion of (* re re) in re 2.005 * [taylor]: Taking taylor expansion of re in re 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [taylor]: Taking taylor expansion of re in re 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [taylor]: Taking taylor expansion of (* im im) in re 2.005 * [taylor]: Taking taylor expansion of im in re 2.005 * [backup-simplify]: Simplify im into im 2.005 * [taylor]: Taking taylor expansion of im in re 2.005 * [backup-simplify]: Simplify im into im 2.006 * [backup-simplify]: Simplify (* 0 0) into 0 2.006 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.006 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.006 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.006 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.006 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.007 * [taylor]: Taking taylor expansion of im in im 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [taylor]: Taking taylor expansion of 0 in im 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.008 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.008 * [backup-simplify]: Simplify (+ 1 0) into 1 2.008 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.008 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.008 * [taylor]: Taking taylor expansion of 1/2 in im 2.008 * [backup-simplify]: Simplify 1/2 into 1/2 2.009 * [taylor]: Taking taylor expansion of im in im 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.011 * [taylor]: Taking taylor expansion of 0 in im 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.012 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 2.012 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 2.012 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.012 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.012 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.012 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.012 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.012 * [taylor]: Taking taylor expansion of re in im 2.012 * [backup-simplify]: Simplify re into re 2.012 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.012 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.012 * [taylor]: Taking taylor expansion of re in im 2.012 * [backup-simplify]: Simplify re into re 2.012 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.012 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.012 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.012 * [taylor]: Taking taylor expansion of im in im 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (/ 1 1) into 1 2.012 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.012 * [taylor]: Taking taylor expansion of im in im 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (/ 1 1) into 1 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.014 * [backup-simplify]: Simplify (+ 0 1) into 1 2.014 * [backup-simplify]: Simplify (sqrt 1) into 1 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.017 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.018 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.018 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.018 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.018 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.018 * [taylor]: Taking taylor expansion of re in re 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [backup-simplify]: Simplify (/ 1 1) into 1 2.018 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.018 * [taylor]: Taking taylor expansion of re in re 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (/ 1 1) into 1 2.019 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.019 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.019 * [taylor]: Taking taylor expansion of im in re 2.019 * [backup-simplify]: Simplify im into im 2.019 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.019 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.019 * [taylor]: Taking taylor expansion of im in re 2.019 * [backup-simplify]: Simplify im into im 2.019 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.019 * [backup-simplify]: Simplify (* 1 1) into 1 2.020 * [backup-simplify]: Simplify (+ 1 0) into 1 2.020 * [backup-simplify]: Simplify (sqrt 1) into 1 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.023 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.023 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.023 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.023 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.023 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.023 * [taylor]: Taking taylor expansion of re in re 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ 1 1) into 1 2.024 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.024 * [taylor]: Taking taylor expansion of re in re 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ 1 1) into 1 2.024 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.024 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.025 * [taylor]: Taking taylor expansion of im in re 2.025 * [backup-simplify]: Simplify im into im 2.025 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.025 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.025 * [taylor]: Taking taylor expansion of im in re 2.025 * [backup-simplify]: Simplify im into im 2.025 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.025 * [backup-simplify]: Simplify (* 1 1) into 1 2.026 * [backup-simplify]: Simplify (+ 1 0) into 1 2.026 * [backup-simplify]: Simplify (sqrt 1) into 1 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.030 * [taylor]: Taking taylor expansion of 1 in im 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [taylor]: Taking taylor expansion of 0 in im 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.033 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.033 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.034 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.034 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.034 * [taylor]: Taking taylor expansion of 1/2 in im 2.034 * [backup-simplify]: Simplify 1/2 into 1/2 2.034 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.034 * [taylor]: Taking taylor expansion of im in im 2.034 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (* 1 1) into 1 2.035 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.042 * [taylor]: Taking taylor expansion of 0 in im 2.042 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.044 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 2.044 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 2.044 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.044 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.044 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.044 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.044 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.044 * [taylor]: Taking taylor expansion of -1 in im 2.044 * [backup-simplify]: Simplify -1 into -1 2.044 * [taylor]: Taking taylor expansion of re in im 2.044 * [backup-simplify]: Simplify re into re 2.045 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.045 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.045 * [taylor]: Taking taylor expansion of -1 in im 2.045 * [backup-simplify]: Simplify -1 into -1 2.045 * [taylor]: Taking taylor expansion of re in im 2.045 * [backup-simplify]: Simplify re into re 2.045 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.045 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.045 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.045 * [taylor]: Taking taylor expansion of -1 in im 2.045 * [backup-simplify]: Simplify -1 into -1 2.045 * [taylor]: Taking taylor expansion of im in im 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.046 * [backup-simplify]: Simplify (/ -1 1) into -1 2.046 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.046 * [taylor]: Taking taylor expansion of -1 in im 2.046 * [backup-simplify]: Simplify -1 into -1 2.046 * [taylor]: Taking taylor expansion of im in im 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [backup-simplify]: Simplify (/ -1 1) into -1 2.046 * [backup-simplify]: Simplify (* -1 -1) into 1 2.047 * [backup-simplify]: Simplify (+ 0 1) into 1 2.047 * [backup-simplify]: Simplify (sqrt 1) into 1 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.050 * [backup-simplify]: Simplify (+ 0 0) into 0 2.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.051 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.051 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.051 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.051 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.051 * [taylor]: Taking taylor expansion of -1 in re 2.051 * [backup-simplify]: Simplify -1 into -1 2.051 * [taylor]: Taking taylor expansion of re in re 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (/ -1 1) into -1 2.052 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.052 * [taylor]: Taking taylor expansion of -1 in re 2.052 * [backup-simplify]: Simplify -1 into -1 2.052 * [taylor]: Taking taylor expansion of re in re 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (/ -1 1) into -1 2.052 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.052 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.052 * [taylor]: Taking taylor expansion of -1 in re 2.052 * [backup-simplify]: Simplify -1 into -1 2.052 * [taylor]: Taking taylor expansion of im in re 2.052 * [backup-simplify]: Simplify im into im 2.052 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.052 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.052 * [taylor]: Taking taylor expansion of -1 in re 2.052 * [backup-simplify]: Simplify -1 into -1 2.052 * [taylor]: Taking taylor expansion of im in re 2.053 * [backup-simplify]: Simplify im into im 2.053 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.053 * [backup-simplify]: Simplify (* -1 -1) into 1 2.053 * [backup-simplify]: Simplify (+ 1 0) into 1 2.054 * [backup-simplify]: Simplify (sqrt 1) into 1 2.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.057 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.057 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.058 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.058 * [taylor]: Taking taylor expansion of -1 in re 2.058 * [backup-simplify]: Simplify -1 into -1 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (/ -1 1) into -1 2.058 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.058 * [taylor]: Taking taylor expansion of -1 in re 2.058 * [backup-simplify]: Simplify -1 into -1 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (/ -1 1) into -1 2.059 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.059 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.059 * [taylor]: Taking taylor expansion of -1 in re 2.059 * [backup-simplify]: Simplify -1 into -1 2.059 * [taylor]: Taking taylor expansion of im in re 2.059 * [backup-simplify]: Simplify im into im 2.059 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.059 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.059 * [taylor]: Taking taylor expansion of -1 in re 2.059 * [backup-simplify]: Simplify -1 into -1 2.059 * [taylor]: Taking taylor expansion of im in re 2.059 * [backup-simplify]: Simplify im into im 2.059 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.060 * [backup-simplify]: Simplify (* -1 -1) into 1 2.060 * [backup-simplify]: Simplify (+ 1 0) into 1 2.060 * [backup-simplify]: Simplify (sqrt 1) into 1 2.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.063 * [backup-simplify]: Simplify (+ 0 0) into 0 2.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.064 * [taylor]: Taking taylor expansion of 1 in im 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [taylor]: Taking taylor expansion of 0 in im 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.067 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.067 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.069 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.069 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.069 * [taylor]: Taking taylor expansion of 1/2 in im 2.069 * [backup-simplify]: Simplify 1/2 into 1/2 2.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.069 * [taylor]: Taking taylor expansion of im in im 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (* 1 1) into 1 2.070 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.075 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.075 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.076 * [taylor]: Taking taylor expansion of 0 in im 2.076 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.079 * * * [progress]: simplifying candidates 2.081 * [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))) (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))) (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))) (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)) 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))))) (- (+ (* +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))))) im re (* -1 re) 2.082 * * [simplify]: iteration 0: 86 enodes 2.107 * * [simplify]: iteration 1: 191 enodes 2.187 * * [simplify]: iteration 2: 768 enodes 3.359 * * [simplify]: iteration complete: 5000 enodes 3.359 * * [simplify]: Extracting #0: cost 34 inf + 0 3.362 * * [simplify]: Extracting #1: cost 987 inf + 5 3.371 * * [simplify]: Extracting #2: cost 1365 inf + 1061 3.381 * * [simplify]: Extracting #3: cost 403 inf + 9594 3.391 * * [simplify]: Extracting #4: cost 13 inf + 13539 3.401 * * [simplify]: Extracting #5: cost 0 inf + 13637 3.412 * [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)) (pow (hypot re im) 3) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) (+ 3 1)) (* (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 (* (pow (cbrt (sqrt (hypot re im))) (+ 3 1)) (cbrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) (+ 3 1)) (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (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))) (pow (sqrt (hypot re im)) 3) (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))) (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))) (pow (sqrt (hypot re im)) 3) (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))) (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)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (- re) (* +nan.0 (+ (- (pow re 2) im) (- (* im im)))) (- (- (/ +nan.0 (pow re 2)) +nan.0) (/ +nan.0 re)) (- (- (/ +nan.0 (pow re 2)) +nan.0) (/ +nan.0 re)) (* +nan.0 (+ (- (pow re 2) im) (- (* im im)))) (- (- (/ +nan.0 (pow re 2)) +nan.0) (/ +nan.0 re)) (- (- (/ +nan.0 (pow re 2)) +nan.0) (/ +nan.0 re)) im re (- re) 3.416 * * * [progress]: adding candidates to table 3.859 * [progress]: [Phase 3 of 3] Extracting. 3.859 * * [regime]: Finding splitpoints for: (# #) 3.859 * * * [regime-changes]: Trying 2 branch expressions: (im re) 3.859 * * * * [regimes]: Trying to branch on im from (# #) 3.915 * * * * [regimes]: Trying to branch on re from (# #) 3.974 * * * [regime]: Found split indices: #