32.793 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.019 * * [simplify]: iteration 0: 6 enodes 0.020 * * [simplify]: iteration 1: 7 enodes 0.020 * * [simplify]: iteration complete: 7 enodes 0.020 * * [simplify]: Extracting #0: cost 1 inf + 0 0.020 * * [simplify]: Extracting #1: cost 2 inf + 0 0.020 * * [simplify]: Extracting #2: cost 4 inf + 0 0.020 * * [simplify]: Extracting #3: cost 6 inf + 0 0.021 * * [simplify]: Extracting #4: cost 3 inf + 5 0.021 * * [simplify]: Extracting #5: cost 0 inf + 23 0.021 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.043 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.050 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.050 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.050 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.050 * [taylor]: Taking taylor expansion of im in im 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.050 * [taylor]: Taking taylor expansion of re in im 0.050 * [backup-simplify]: Simplify re into re 0.050 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.050 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.050 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.050 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.051 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.051 * [taylor]: Taking taylor expansion of im in re 0.051 * [backup-simplify]: Simplify im into im 0.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.051 * [taylor]: Taking taylor expansion of re in re 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.052 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.052 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.052 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.052 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.052 * [taylor]: Taking taylor expansion of im in re 0.052 * [backup-simplify]: Simplify im into im 0.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.052 * [taylor]: Taking taylor expansion of re in re 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.052 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.052 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.052 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.053 * [taylor]: Taking taylor expansion of im in im 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [taylor]: Taking taylor expansion of 0 in im 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.054 * [backup-simplify]: Simplify (* 1 1) into 1 0.054 * [backup-simplify]: Simplify (+ 0 1) into 1 0.054 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.054 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.054 * [taylor]: Taking taylor expansion of 1/2 in im 0.054 * [backup-simplify]: Simplify 1/2 into 1/2 0.054 * [taylor]: Taking taylor expansion of im in im 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.056 * [taylor]: Taking taylor expansion of 0 in im 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.057 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.057 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.057 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.057 * [taylor]: Taking taylor expansion of re in im 0.057 * [backup-simplify]: Simplify re into re 0.057 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.058 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.058 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.058 * [taylor]: Taking taylor expansion of im in im 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [backup-simplify]: Simplify (+ 0 1) into 1 0.059 * [backup-simplify]: Simplify (sqrt 1) into 1 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.060 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.060 * [taylor]: Taking taylor expansion of re in re 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.061 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.061 * [taylor]: Taking taylor expansion of im in re 0.061 * [backup-simplify]: Simplify im into im 0.061 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.061 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.061 * [backup-simplify]: Simplify (+ 1 0) into 1 0.062 * [backup-simplify]: Simplify (sqrt 1) into 1 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.064 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.064 * [taylor]: Taking taylor expansion of re in re 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.065 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.065 * [taylor]: Taking taylor expansion of im in re 0.065 * [backup-simplify]: Simplify im into im 0.065 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.065 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.065 * [backup-simplify]: Simplify (+ 1 0) into 1 0.065 * [backup-simplify]: Simplify (sqrt 1) into 1 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.067 * [taylor]: Taking taylor expansion of 1 in im 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of 0 in im 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.069 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.069 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.069 * [taylor]: Taking taylor expansion of 1/2 in im 0.069 * [backup-simplify]: Simplify 1/2 into 1/2 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.069 * [taylor]: Taking taylor expansion of im in im 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.073 * [taylor]: Taking taylor expansion of 0 in im 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.074 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.074 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.074 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.074 * [taylor]: Taking taylor expansion of re in im 0.074 * [backup-simplify]: Simplify re into re 0.074 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.074 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.074 * [taylor]: Taking taylor expansion of im in im 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify (/ 1 1) into 1 0.075 * [backup-simplify]: Simplify (+ 0 1) into 1 0.075 * [backup-simplify]: Simplify (sqrt 1) into 1 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.077 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (* 1 1) into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.078 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.078 * [taylor]: Taking taylor expansion of im in re 0.078 * [backup-simplify]: Simplify im into im 0.078 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.078 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.078 * [backup-simplify]: Simplify (+ 1 0) into 1 0.078 * [backup-simplify]: Simplify (sqrt 1) into 1 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.080 * [taylor]: Taking taylor expansion of re in re 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.080 * [taylor]: Taking taylor expansion of im in re 0.080 * [backup-simplify]: Simplify im into im 0.080 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.080 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.081 * [backup-simplify]: Simplify (sqrt 1) into 1 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.082 * [taylor]: Taking taylor expansion of 1 in im 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of 0 in im 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.084 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.085 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.085 * [taylor]: Taking taylor expansion of 1/2 in im 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.089 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.089 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.090 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.090 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.090 * [taylor]: Taking taylor expansion of im in im 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.090 * [taylor]: Taking taylor expansion of re in im 0.090 * [backup-simplify]: Simplify re into re 0.090 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.090 * [backup-simplify]: Simplify im into im 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.090 * [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 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.090 * [backup-simplify]: Simplify im into im 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.090 * [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 (* im im) into (pow im 2) 0.090 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.090 * [taylor]: Taking taylor expansion of im in im 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ 0 1) into 1 0.091 * [taylor]: Taking taylor expansion of 1 in im 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.095 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.095 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.095 * [taylor]: Taking taylor expansion of re in im 0.095 * [backup-simplify]: Simplify re into re 0.095 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.095 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [backup-simplify]: Simplify im into im 0.097 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.097 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [backup-simplify]: Simplify im into im 0.098 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.098 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.098 * [backup-simplify]: Simplify (+ 1 0) into 1 0.098 * [taylor]: Taking taylor expansion of 1 in im 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.100 * [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 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [taylor]: Taking taylor expansion of 0 in im 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [taylor]: Taking taylor expansion of 0 in im 0.105 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.110 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.110 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [backup-simplify]: Simplify re into re 0.110 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.110 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.112 * [taylor]: Taking taylor expansion of im in re 0.112 * [backup-simplify]: Simplify im into im 0.112 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.112 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.112 * [taylor]: Taking taylor expansion of im in re 0.112 * [backup-simplify]: Simplify im into im 0.112 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.113 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.113 * [backup-simplify]: Simplify (+ 1 0) into 1 0.113 * [taylor]: Taking taylor expansion of 1 in im 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [taylor]: Taking taylor expansion of 0 in im 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.115 * [taylor]: Taking taylor expansion of im in im 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in im 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.122 * * * [progress]: simplifying candidates 0.122 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) 0.123 * * [simplify]: iteration 0: 48 enodes 0.131 * * [simplify]: iteration 1: 142 enodes 0.213 * * [simplify]: iteration 2: 770 enodes 0.459 * * [simplify]: iteration complete: 5000 enodes 0.459 * * [simplify]: Extracting #0: cost 28 inf + 0 0.460 * * [simplify]: Extracting #1: cost 262 inf + 4 0.463 * * [simplify]: Extracting #2: cost 1739 inf + 155 0.470 * * [simplify]: Extracting #3: cost 1667 inf + 4154 0.477 * * [simplify]: Extracting #4: cost 347 inf + 16400 0.484 * * [simplify]: Extracting #5: cost 43 inf + 19427 0.491 * * [simplify]: Extracting #6: cost 0 inf + 19785 0.498 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (pow im 4) (* (* re re) (* (+ re im) (- re im))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow re 6) (pow im 6)) (+ (pow im 4) (* (* re re) (* (+ re im) (- re im)))) (- (pow re 4) (pow im 4)) (* (+ re im) (- re im)) im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.498 * * * [progress]: adding candidates to table 0.654 * * [progress]: iteration 2 / 4 0.654 * * * [progress]: picking best candidate 0.666 * * * * [pick]: Picked # 0.666 * * * [progress]: localizing error 0.712 * * * [progress]: generating rewritten candidates 0.712 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.719 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.727 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.733 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.815 * * * [progress]: generating series expansions 0.815 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.816 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 0.816 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 0.816 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 0.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 0.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 0.816 * [taylor]: Taking taylor expansion of 1/3 in im 0.816 * [backup-simplify]: Simplify 1/3 into 1/3 0.816 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 0.816 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.816 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.816 * [taylor]: Taking taylor expansion of im in im 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.816 * [taylor]: Taking taylor expansion of re in im 0.816 * [backup-simplify]: Simplify re into re 0.816 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.816 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.817 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 0.817 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 0.817 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 0.817 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 0.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 0.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 0.817 * [taylor]: Taking taylor expansion of 1/3 in re 0.817 * [backup-simplify]: Simplify 1/3 into 1/3 0.817 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 0.817 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.817 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.817 * [taylor]: Taking taylor expansion of im in re 0.817 * [backup-simplify]: Simplify im into im 0.817 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.817 * [taylor]: Taking taylor expansion of re in re 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.817 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.818 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.818 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.818 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.818 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 0.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 0.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 0.818 * [taylor]: Taking taylor expansion of 1/3 in re 0.818 * [backup-simplify]: Simplify 1/3 into 1/3 0.818 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 0.818 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.818 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.818 * [taylor]: Taking taylor expansion of im in re 0.818 * [backup-simplify]: Simplify im into im 0.818 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.818 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.819 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.819 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.819 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.819 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 0.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 0.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 0.819 * [taylor]: Taking taylor expansion of 1/3 in im 0.819 * [backup-simplify]: Simplify 1/3 into 1/3 0.819 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 0.819 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (* 1 1) into 1 0.820 * [backup-simplify]: Simplify (log 1) into 0 0.821 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.821 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 0.821 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 0.821 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 0.821 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.822 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 0.824 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.824 * [taylor]: Taking taylor expansion of 0 in im 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.826 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 0.828 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.829 * [backup-simplify]: Simplify (* 1 1) into 1 0.829 * [backup-simplify]: Simplify (+ 0 1) into 1 0.831 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 0.832 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 0.833 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.833 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 0.833 * [taylor]: Taking taylor expansion of 1/3 in im 0.833 * [backup-simplify]: Simplify 1/3 into 1/3 0.833 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 0.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 0.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 0.833 * [taylor]: Taking taylor expansion of 1/3 in im 0.833 * [backup-simplify]: Simplify 1/3 into 1/3 0.833 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.833 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.833 * [taylor]: Taking taylor expansion of im in im 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (* 1 1) into 1 0.834 * [backup-simplify]: Simplify (* 1 1) into 1 0.834 * [backup-simplify]: Simplify (/ 1 1) into 1 0.835 * [backup-simplify]: Simplify (log 1) into 0 0.835 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.835 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 0.835 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 0.835 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.836 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.836 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.840 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.840 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 0.842 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 0.848 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.848 * [taylor]: Taking taylor expansion of 0 in im 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.852 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.852 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 0.853 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.860 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.861 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 0.862 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 0.863 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 0.863 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 0.863 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 0.863 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.863 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.863 * [taylor]: Taking taylor expansion of 1/3 in im 0.863 * [backup-simplify]: Simplify 1/3 into 1/3 0.863 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.863 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.863 * [taylor]: Taking taylor expansion of re in im 0.863 * [backup-simplify]: Simplify re into re 0.863 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.863 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.863 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.863 * [taylor]: Taking taylor expansion of im in im 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (* 1 1) into 1 0.863 * [backup-simplify]: Simplify (/ 1 1) into 1 0.864 * [backup-simplify]: Simplify (+ 0 1) into 1 0.864 * [backup-simplify]: Simplify (log 1) into 0 0.864 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.864 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.864 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.864 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 0.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.864 * [taylor]: Taking taylor expansion of 1/3 in re 0.864 * [backup-simplify]: Simplify 1/3 into 1/3 0.864 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.865 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.865 * [taylor]: Taking taylor expansion of re in re 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (* 1 1) into 1 0.865 * [backup-simplify]: Simplify (/ 1 1) into 1 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.865 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.865 * [taylor]: Taking taylor expansion of im in re 0.865 * [backup-simplify]: Simplify im into im 0.865 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.865 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.866 * [backup-simplify]: Simplify (+ 1 0) into 1 0.866 * [backup-simplify]: Simplify (log 1) into 0 0.866 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.866 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.866 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.866 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 0.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.866 * [taylor]: Taking taylor expansion of 1/3 in re 0.866 * [backup-simplify]: Simplify 1/3 into 1/3 0.866 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.866 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.866 * [taylor]: Taking taylor expansion of re in re 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (* 1 1) into 1 0.867 * [backup-simplify]: Simplify (/ 1 1) into 1 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.867 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.867 * [taylor]: Taking taylor expansion of im in re 0.867 * [backup-simplify]: Simplify im into im 0.867 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.867 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.867 * [backup-simplify]: Simplify (+ 1 0) into 1 0.868 * [backup-simplify]: Simplify (log 1) into 0 0.868 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.868 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.868 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.868 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.868 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.868 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.868 * [taylor]: Taking taylor expansion of -2/3 in im 0.868 * [backup-simplify]: Simplify -2/3 into -2/3 0.868 * [taylor]: Taking taylor expansion of (log re) in im 0.868 * [taylor]: Taking taylor expansion of re in im 0.868 * [backup-simplify]: Simplify re into re 0.868 * [backup-simplify]: Simplify (log re) into (log re) 0.868 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.868 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.868 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ 0 0) into 0 0.870 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.870 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.871 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.871 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.871 * [taylor]: Taking taylor expansion of 0 in im 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.872 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.873 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.875 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 0.875 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.876 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.876 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 0.876 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.876 * [taylor]: Taking taylor expansion of 1/3 in im 0.876 * [backup-simplify]: Simplify 1/3 into 1/3 0.876 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.876 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.876 * [taylor]: Taking taylor expansion of 1/3 in im 0.877 * [backup-simplify]: Simplify 1/3 into 1/3 0.877 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.877 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.877 * [taylor]: Taking taylor expansion of re in im 0.877 * [backup-simplify]: Simplify re into re 0.877 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.877 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.877 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.877 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.877 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.877 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.877 * [taylor]: Taking taylor expansion of im in im 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.877 * [backup-simplify]: Simplify (* 1 1) into 1 0.878 * [backup-simplify]: Simplify (/ 1 1) into 1 0.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.881 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.881 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.883 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 0.883 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.886 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.887 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.888 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.890 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.891 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.892 * [backup-simplify]: Simplify (+ 0 0) into 0 0.895 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.895 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.896 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.897 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.897 * [taylor]: Taking taylor expansion of 0 in im 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 0.897 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 0.897 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 0.897 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 0.897 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.897 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.897 * [taylor]: Taking taylor expansion of 1/3 in im 0.897 * [backup-simplify]: Simplify 1/3 into 1/3 0.897 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.897 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.897 * [taylor]: Taking taylor expansion of re in im 0.898 * [backup-simplify]: Simplify re into re 0.898 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.898 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.898 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.898 * [taylor]: Taking taylor expansion of im in im 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (* 1 1) into 1 0.898 * [backup-simplify]: Simplify (/ 1 1) into 1 0.898 * [backup-simplify]: Simplify (+ 0 1) into 1 0.899 * [backup-simplify]: Simplify (log 1) into 0 0.899 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.899 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.899 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.899 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 0.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.899 * [taylor]: Taking taylor expansion of 1/3 in re 0.899 * [backup-simplify]: Simplify 1/3 into 1/3 0.899 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.899 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.899 * [taylor]: Taking taylor expansion of re in re 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (* 1 1) into 1 0.900 * [backup-simplify]: Simplify (/ 1 1) into 1 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.900 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.900 * [taylor]: Taking taylor expansion of im in re 0.900 * [backup-simplify]: Simplify im into im 0.900 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.900 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.900 * [backup-simplify]: Simplify (+ 1 0) into 1 0.901 * [backup-simplify]: Simplify (log 1) into 0 0.901 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.901 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.901 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.901 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 0.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.901 * [taylor]: Taking taylor expansion of 1/3 in re 0.901 * [backup-simplify]: Simplify 1/3 into 1/3 0.901 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.901 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.901 * [taylor]: Taking taylor expansion of re in re 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (* 1 1) into 1 0.902 * [backup-simplify]: Simplify (/ 1 1) into 1 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.902 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.902 * [taylor]: Taking taylor expansion of im in re 0.902 * [backup-simplify]: Simplify im into im 0.902 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.902 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.902 * [backup-simplify]: Simplify (+ 1 0) into 1 0.902 * [backup-simplify]: Simplify (log 1) into 0 0.903 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.903 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.903 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.903 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.903 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.903 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.903 * [taylor]: Taking taylor expansion of -2/3 in im 0.903 * [backup-simplify]: Simplify -2/3 into -2/3 0.903 * [taylor]: Taking taylor expansion of (log re) in im 0.903 * [taylor]: Taking taylor expansion of re in im 0.903 * [backup-simplify]: Simplify re into re 0.903 * [backup-simplify]: Simplify (log re) into (log re) 0.903 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.903 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.903 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (+ 0 0) into 0 0.905 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.905 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.906 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.906 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.906 * [taylor]: Taking taylor expansion of 0 in im 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.907 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.907 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.910 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 0.910 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.911 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.911 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 0.911 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.911 * [taylor]: Taking taylor expansion of 1/3 in im 0.912 * [backup-simplify]: Simplify 1/3 into 1/3 0.912 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.912 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.912 * [taylor]: Taking taylor expansion of 1/3 in im 0.912 * [backup-simplify]: Simplify 1/3 into 1/3 0.912 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.912 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.912 * [taylor]: Taking taylor expansion of re in im 0.912 * [backup-simplify]: Simplify re into re 0.912 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.912 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.912 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.912 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.912 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.912 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.913 * [taylor]: Taking taylor expansion of im in im 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (* 1 1) into 1 0.913 * [backup-simplify]: Simplify (/ 1 1) into 1 0.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.918 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.919 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.919 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.922 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 0.922 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.924 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.924 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.925 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.925 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.927 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.928 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.931 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.932 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.932 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.934 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.934 * [taylor]: Taking taylor expansion of 0 in im 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 0.934 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.934 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 0.934 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 0.934 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 0.934 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 0.934 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 0.934 * [taylor]: Taking taylor expansion of 1/3 in im 0.934 * [backup-simplify]: Simplify 1/3 into 1/3 0.934 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 0.934 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.934 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.934 * [taylor]: Taking taylor expansion of im in im 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.934 * [taylor]: Taking taylor expansion of re in im 0.934 * [backup-simplify]: Simplify re into re 0.934 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.935 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.935 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 0.935 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 0.935 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 0.935 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 0.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 0.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 0.935 * [taylor]: Taking taylor expansion of 1/3 in re 0.935 * [backup-simplify]: Simplify 1/3 into 1/3 0.935 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 0.935 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.935 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.935 * [taylor]: Taking taylor expansion of im in re 0.935 * [backup-simplify]: Simplify im into im 0.935 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.935 * [taylor]: Taking taylor expansion of re in re 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.935 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.935 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.935 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.935 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.935 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 0.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 0.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 0.936 * [taylor]: Taking taylor expansion of 1/3 in re 0.936 * [backup-simplify]: Simplify 1/3 into 1/3 0.936 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 0.936 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.936 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.936 * [taylor]: Taking taylor expansion of im in re 0.936 * [backup-simplify]: Simplify im into im 0.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.936 * [taylor]: Taking taylor expansion of re in re 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.936 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.936 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.936 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.936 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.936 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 0.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 0.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 0.936 * [taylor]: Taking taylor expansion of 1/3 in im 0.936 * [backup-simplify]: Simplify 1/3 into 1/3 0.936 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 0.936 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.936 * [taylor]: Taking taylor expansion of im in im 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (* 1 1) into 1 0.937 * [backup-simplify]: Simplify (log 1) into 0 0.937 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.937 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 0.937 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 0.937 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 0.937 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 0.939 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.939 * [taylor]: Taking taylor expansion of 0 in im 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.941 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.941 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 0.941 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.942 * [backup-simplify]: Simplify (* 1 1) into 1 0.942 * [backup-simplify]: Simplify (+ 0 1) into 1 0.943 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 0.944 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 0.945 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.945 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 0.945 * [taylor]: Taking taylor expansion of 1/3 in im 0.945 * [backup-simplify]: Simplify 1/3 into 1/3 0.945 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 0.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 0.945 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 0.945 * [taylor]: Taking taylor expansion of 1/3 in im 0.945 * [backup-simplify]: Simplify 1/3 into 1/3 0.945 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.945 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.945 * [taylor]: Taking taylor expansion of im in im 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (* 1 1) into 1 0.945 * [backup-simplify]: Simplify (* 1 1) into 1 0.946 * [backup-simplify]: Simplify (/ 1 1) into 1 0.946 * [backup-simplify]: Simplify (log 1) into 0 0.946 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.946 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 0.946 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 0.946 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.946 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.949 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.949 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.949 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 0.950 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 0.954 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 0.955 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.955 * [taylor]: Taking taylor expansion of 0 in im 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.957 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 0.958 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.959 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.962 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.963 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 0.964 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 0.965 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 0.965 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 0.965 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 0.965 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.965 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.965 * [taylor]: Taking taylor expansion of 1/3 in im 0.965 * [backup-simplify]: Simplify 1/3 into 1/3 0.965 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.965 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.965 * [taylor]: Taking taylor expansion of re in im 0.965 * [backup-simplify]: Simplify re into re 0.965 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.965 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.965 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.965 * [taylor]: Taking taylor expansion of im in im 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (* 1 1) into 1 0.966 * [backup-simplify]: Simplify (/ 1 1) into 1 0.966 * [backup-simplify]: Simplify (+ 0 1) into 1 0.966 * [backup-simplify]: Simplify (log 1) into 0 0.967 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.967 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.967 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.967 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 0.967 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.967 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.967 * [taylor]: Taking taylor expansion of 1/3 in re 0.967 * [backup-simplify]: Simplify 1/3 into 1/3 0.967 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.967 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.967 * [taylor]: Taking taylor expansion of re in re 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 1 into 1 0.967 * [backup-simplify]: Simplify (* 1 1) into 1 0.967 * [backup-simplify]: Simplify (/ 1 1) into 1 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.967 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.967 * [taylor]: Taking taylor expansion of im in re 0.967 * [backup-simplify]: Simplify im into im 0.967 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.968 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.968 * [backup-simplify]: Simplify (+ 1 0) into 1 0.968 * [backup-simplify]: Simplify (log 1) into 0 0.968 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.969 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.969 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.969 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 0.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.969 * [taylor]: Taking taylor expansion of 1/3 in re 0.969 * [backup-simplify]: Simplify 1/3 into 1/3 0.969 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.969 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.969 * [taylor]: Taking taylor expansion of re in re 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (* 1 1) into 1 0.969 * [backup-simplify]: Simplify (/ 1 1) into 1 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.969 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.969 * [taylor]: Taking taylor expansion of im in re 0.969 * [backup-simplify]: Simplify im into im 0.969 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.969 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.970 * [backup-simplify]: Simplify (+ 1 0) into 1 0.970 * [backup-simplify]: Simplify (log 1) into 0 0.970 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.970 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.970 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.970 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.971 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.971 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.971 * [taylor]: Taking taylor expansion of -2/3 in im 0.971 * [backup-simplify]: Simplify -2/3 into -2/3 0.971 * [taylor]: Taking taylor expansion of (log re) in im 0.971 * [taylor]: Taking taylor expansion of re in im 0.971 * [backup-simplify]: Simplify re into re 0.971 * [backup-simplify]: Simplify (log re) into (log re) 0.971 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.971 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.971 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.973 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.973 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.974 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.974 * [taylor]: Taking taylor expansion of 0 in im 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.975 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.975 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.977 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.978 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 0.978 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.979 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.979 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 0.979 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.979 * [taylor]: Taking taylor expansion of 1/3 in im 0.979 * [backup-simplify]: Simplify 1/3 into 1/3 0.979 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.979 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.979 * [taylor]: Taking taylor expansion of 1/3 in im 0.979 * [backup-simplify]: Simplify 1/3 into 1/3 0.979 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.979 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.979 * [taylor]: Taking taylor expansion of re in im 0.979 * [backup-simplify]: Simplify re into re 0.980 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.980 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.980 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.980 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.980 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.980 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.980 * [taylor]: Taking taylor expansion of im in im 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (* 1 1) into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.985 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.986 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.986 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.988 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.990 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.990 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.991 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.991 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.991 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.993 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.994 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.998 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.998 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.999 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.000 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.000 * [taylor]: Taking taylor expansion of 0 in im 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 1.001 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 1.001 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 1.001 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 1.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.001 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.001 * [taylor]: Taking taylor expansion of 1/3 in im 1.001 * [backup-simplify]: Simplify 1/3 into 1/3 1.001 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.001 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.001 * [taylor]: Taking taylor expansion of re in im 1.001 * [backup-simplify]: Simplify re into re 1.001 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.001 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.001 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.001 * [taylor]: Taking taylor expansion of im in im 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (* 1 1) into 1 1.001 * [backup-simplify]: Simplify (/ 1 1) into 1 1.002 * [backup-simplify]: Simplify (+ 0 1) into 1 1.002 * [backup-simplify]: Simplify (log 1) into 0 1.002 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.002 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.002 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.002 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.002 * [taylor]: Taking taylor expansion of 1/3 in re 1.002 * [backup-simplify]: Simplify 1/3 into 1/3 1.002 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.002 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.003 * [taylor]: Taking taylor expansion of re in re 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (* 1 1) into 1 1.003 * [backup-simplify]: Simplify (/ 1 1) into 1 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.003 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.003 * [taylor]: Taking taylor expansion of im in re 1.003 * [backup-simplify]: Simplify im into im 1.003 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.003 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.003 * [backup-simplify]: Simplify (+ 1 0) into 1 1.004 * [backup-simplify]: Simplify (log 1) into 0 1.004 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.004 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.004 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.004 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.004 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.004 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.004 * [taylor]: Taking taylor expansion of 1/3 in re 1.004 * [backup-simplify]: Simplify 1/3 into 1/3 1.004 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.004 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.004 * [taylor]: Taking taylor expansion of re in re 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (* 1 1) into 1 1.005 * [backup-simplify]: Simplify (/ 1 1) into 1 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.005 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.005 * [taylor]: Taking taylor expansion of im in re 1.005 * [backup-simplify]: Simplify im into im 1.005 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.005 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.005 * [backup-simplify]: Simplify (+ 1 0) into 1 1.005 * [backup-simplify]: Simplify (log 1) into 0 1.006 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.006 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.006 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.006 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.006 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.006 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.006 * [taylor]: Taking taylor expansion of -2/3 in im 1.006 * [backup-simplify]: Simplify -2/3 into -2/3 1.006 * [taylor]: Taking taylor expansion of (log re) in im 1.006 * [taylor]: Taking taylor expansion of re in im 1.006 * [backup-simplify]: Simplify re into re 1.006 * [backup-simplify]: Simplify (log re) into (log re) 1.006 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.006 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.006 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ 0 0) into 0 1.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.009 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.010 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.010 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.010 * [taylor]: Taking taylor expansion of 0 in im 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.011 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.012 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.014 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.015 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.015 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.015 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.015 * [taylor]: Taking taylor expansion of 1/3 in im 1.016 * [backup-simplify]: Simplify 1/3 into 1/3 1.016 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.016 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.016 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.016 * [taylor]: Taking taylor expansion of 1/3 in im 1.016 * [backup-simplify]: Simplify 1/3 into 1/3 1.016 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.016 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.016 * [taylor]: Taking taylor expansion of re in im 1.016 * [backup-simplify]: Simplify re into re 1.016 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.016 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.016 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.016 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.016 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.016 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.016 * [taylor]: Taking taylor expansion of im in im 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [backup-simplify]: Simplify (* 1 1) into 1 1.017 * [backup-simplify]: Simplify (/ 1 1) into 1 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.019 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.020 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.020 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.021 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.023 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.023 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.024 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.024 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.025 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.025 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.027 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.028 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.029 * [backup-simplify]: Simplify (+ 0 0) into 0 1.031 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.032 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.032 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.034 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.034 * [taylor]: Taking taylor expansion of 0 in im 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 1.034 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.034 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 1.034 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 1.034 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 1.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 1.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 1.034 * [taylor]: Taking taylor expansion of 1/3 in im 1.034 * [backup-simplify]: Simplify 1/3 into 1/3 1.034 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 1.034 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.034 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.034 * [taylor]: Taking taylor expansion of im in im 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.034 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.034 * [taylor]: Taking taylor expansion of re in im 1.034 * [backup-simplify]: Simplify re into re 1.034 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.034 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.034 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.035 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 1.035 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 1.035 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 1.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 1.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 1.035 * [taylor]: Taking taylor expansion of 1/3 in re 1.035 * [backup-simplify]: Simplify 1/3 into 1/3 1.035 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 1.035 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.035 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.035 * [taylor]: Taking taylor expansion of im in re 1.035 * [backup-simplify]: Simplify im into im 1.035 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.035 * [taylor]: Taking taylor expansion of re in re 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.035 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.035 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.035 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.035 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.035 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.035 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 1.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 1.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 1.035 * [taylor]: Taking taylor expansion of 1/3 in re 1.035 * [backup-simplify]: Simplify 1/3 into 1/3 1.035 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 1.035 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.035 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.035 * [taylor]: Taking taylor expansion of im in re 1.035 * [backup-simplify]: Simplify im into im 1.035 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.035 * [taylor]: Taking taylor expansion of re in re 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.036 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.036 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.036 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.036 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.036 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.036 * [taylor]: Taking taylor expansion of 1/3 in im 1.036 * [backup-simplify]: Simplify 1/3 into 1/3 1.036 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.036 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.036 * [taylor]: Taking taylor expansion of im in im 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify (* 1 1) into 1 1.037 * [backup-simplify]: Simplify (log 1) into 0 1.037 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.037 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 1.037 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 1.037 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 1.037 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.037 * [backup-simplify]: Simplify (+ 0 0) into 0 1.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 1.039 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.039 * [taylor]: Taking taylor expansion of 0 in im 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.040 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.041 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 1.041 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.041 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.042 * [backup-simplify]: Simplify (* 1 1) into 1 1.042 * [backup-simplify]: Simplify (+ 0 1) into 1 1.043 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 1.044 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 1.044 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.045 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 1.045 * [taylor]: Taking taylor expansion of 1/3 in im 1.045 * [backup-simplify]: Simplify 1/3 into 1/3 1.045 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.045 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.045 * [taylor]: Taking taylor expansion of 1/3 in im 1.045 * [backup-simplify]: Simplify 1/3 into 1/3 1.045 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.045 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.045 * [taylor]: Taking taylor expansion of im in im 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [backup-simplify]: Simplify (* 1 1) into 1 1.045 * [backup-simplify]: Simplify (* 1 1) into 1 1.045 * [backup-simplify]: Simplify (/ 1 1) into 1 1.046 * [backup-simplify]: Simplify (log 1) into 0 1.046 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.046 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 1.046 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 1.046 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.046 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.048 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.049 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.049 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 1.050 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.051 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 1.054 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 1.055 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.055 * [taylor]: Taking taylor expansion of 0 in im 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.057 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 1.058 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.059 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.062 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.062 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.063 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 1.065 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 1.066 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 1.066 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 1.066 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 1.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.066 * [taylor]: Taking taylor expansion of 1/3 in im 1.066 * [backup-simplify]: Simplify 1/3 into 1/3 1.066 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.066 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.066 * [taylor]: Taking taylor expansion of re in im 1.066 * [backup-simplify]: Simplify re into re 1.066 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.066 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.066 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.066 * [taylor]: Taking taylor expansion of im in im 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (* 1 1) into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [backup-simplify]: Simplify (+ 0 1) into 1 1.068 * [backup-simplify]: Simplify (log 1) into 0 1.068 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.068 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.068 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.068 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.068 * [taylor]: Taking taylor expansion of 1/3 in re 1.068 * [backup-simplify]: Simplify 1/3 into 1/3 1.068 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.068 * [taylor]: Taking taylor expansion of re in re 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (* 1 1) into 1 1.069 * [backup-simplify]: Simplify (/ 1 1) into 1 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.069 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.069 * [taylor]: Taking taylor expansion of im in re 1.069 * [backup-simplify]: Simplify im into im 1.069 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.069 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.069 * [backup-simplify]: Simplify (+ 1 0) into 1 1.069 * [backup-simplify]: Simplify (log 1) into 0 1.070 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.070 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.070 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.070 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.070 * [taylor]: Taking taylor expansion of 1/3 in re 1.070 * [backup-simplify]: Simplify 1/3 into 1/3 1.070 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.070 * [taylor]: Taking taylor expansion of re in re 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify (* 1 1) into 1 1.071 * [backup-simplify]: Simplify (/ 1 1) into 1 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.071 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.071 * [taylor]: Taking taylor expansion of im in re 1.071 * [backup-simplify]: Simplify im into im 1.071 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.071 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.071 * [backup-simplify]: Simplify (+ 1 0) into 1 1.071 * [backup-simplify]: Simplify (log 1) into 0 1.072 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.072 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.072 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.072 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.072 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.072 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.072 * [taylor]: Taking taylor expansion of -2/3 in im 1.072 * [backup-simplify]: Simplify -2/3 into -2/3 1.072 * [taylor]: Taking taylor expansion of (log re) in im 1.072 * [taylor]: Taking taylor expansion of re in im 1.072 * [backup-simplify]: Simplify re into re 1.072 * [backup-simplify]: Simplify (log re) into (log re) 1.072 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.072 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.072 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.074 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.074 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.075 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.075 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.075 * [taylor]: Taking taylor expansion of 0 in im 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.076 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.077 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.079 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.079 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.081 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.082 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.082 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.082 * [taylor]: Taking taylor expansion of 1/3 in im 1.082 * [backup-simplify]: Simplify 1/3 into 1/3 1.082 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.082 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.082 * [taylor]: Taking taylor expansion of 1/3 in im 1.082 * [backup-simplify]: Simplify 1/3 into 1/3 1.082 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.082 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.082 * [taylor]: Taking taylor expansion of re in im 1.082 * [backup-simplify]: Simplify re into re 1.082 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.082 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.082 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.082 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.083 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.083 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.083 * [taylor]: Taking taylor expansion of im in im 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (* 1 1) into 1 1.083 * [backup-simplify]: Simplify (/ 1 1) into 1 1.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.086 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.087 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.087 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.089 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.089 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.090 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.091 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.091 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.091 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.092 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.095 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.097 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.101 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.102 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.102 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.104 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.104 * [taylor]: Taking taylor expansion of 0 in im 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 1.104 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 1.104 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 1.104 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 1.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.105 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.105 * [taylor]: Taking taylor expansion of 1/3 in im 1.105 * [backup-simplify]: Simplify 1/3 into 1/3 1.105 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.105 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.105 * [taylor]: Taking taylor expansion of re in im 1.105 * [backup-simplify]: Simplify re into re 1.105 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.105 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.105 * [taylor]: Taking taylor expansion of im in im 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (* 1 1) into 1 1.106 * [backup-simplify]: Simplify (/ 1 1) into 1 1.106 * [backup-simplify]: Simplify (+ 0 1) into 1 1.106 * [backup-simplify]: Simplify (log 1) into 0 1.106 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.106 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.106 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.107 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.107 * [taylor]: Taking taylor expansion of 1/3 in re 1.107 * [backup-simplify]: Simplify 1/3 into 1/3 1.107 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.107 * [taylor]: Taking taylor expansion of re in re 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (* 1 1) into 1 1.107 * [backup-simplify]: Simplify (/ 1 1) into 1 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.107 * [taylor]: Taking taylor expansion of im in re 1.107 * [backup-simplify]: Simplify im into im 1.107 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.107 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.108 * [backup-simplify]: Simplify (+ 1 0) into 1 1.108 * [backup-simplify]: Simplify (log 1) into 0 1.108 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.108 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.108 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.108 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.108 * [taylor]: Taking taylor expansion of 1/3 in re 1.108 * [backup-simplify]: Simplify 1/3 into 1/3 1.108 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.108 * [taylor]: Taking taylor expansion of re in re 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (* 1 1) into 1 1.109 * [backup-simplify]: Simplify (/ 1 1) into 1 1.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.109 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.109 * [taylor]: Taking taylor expansion of im in re 1.109 * [backup-simplify]: Simplify im into im 1.109 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.109 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.109 * [backup-simplify]: Simplify (+ 1 0) into 1 1.110 * [backup-simplify]: Simplify (log 1) into 0 1.110 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.110 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.110 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.110 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.110 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.110 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.110 * [taylor]: Taking taylor expansion of -2/3 in im 1.110 * [backup-simplify]: Simplify -2/3 into -2/3 1.110 * [taylor]: Taking taylor expansion of (log re) in im 1.110 * [taylor]: Taking taylor expansion of re in im 1.110 * [backup-simplify]: Simplify re into re 1.110 * [backup-simplify]: Simplify (log re) into (log re) 1.110 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.110 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.110 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.113 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.113 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.113 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.114 * [taylor]: Taking taylor expansion of 0 in im 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.114 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.115 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.117 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.118 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.118 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.119 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.119 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.119 * [taylor]: Taking taylor expansion of 1/3 in im 1.119 * [backup-simplify]: Simplify 1/3 into 1/3 1.119 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.119 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.119 * [taylor]: Taking taylor expansion of 1/3 in im 1.119 * [backup-simplify]: Simplify 1/3 into 1/3 1.119 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.119 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.119 * [taylor]: Taking taylor expansion of re in im 1.119 * [backup-simplify]: Simplify re into re 1.119 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.119 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.119 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.119 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.119 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.119 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.119 * [taylor]: Taking taylor expansion of im in im 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (* 1 1) into 1 1.120 * [backup-simplify]: Simplify (/ 1 1) into 1 1.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.123 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.124 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.125 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.128 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.129 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.130 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.131 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.131 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.132 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.135 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.137 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.143 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.144 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.145 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.147 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.147 * [taylor]: Taking taylor expansion of 0 in im 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 1.147 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.148 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 1.148 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.148 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.148 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.148 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.148 * [taylor]: Taking taylor expansion of im in im 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.148 * [taylor]: Taking taylor expansion of re in im 1.148 * [backup-simplify]: Simplify re into re 1.148 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.148 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.149 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.149 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.149 * [backup-simplify]: Simplify (+ 0 0) into 0 1.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.149 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.149 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.149 * [taylor]: Taking taylor expansion of im in re 1.149 * [backup-simplify]: Simplify im into im 1.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.149 * [taylor]: Taking taylor expansion of re in re 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.150 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.150 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.150 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.150 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.150 * [taylor]: Taking taylor expansion of im in re 1.151 * [backup-simplify]: Simplify im into im 1.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.151 * [taylor]: Taking taylor expansion of re in re 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.151 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.151 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.151 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.151 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.151 * [backup-simplify]: Simplify (+ 0 0) into 0 1.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.151 * [taylor]: Taking taylor expansion of im in im 1.151 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [taylor]: Taking taylor expansion of 0 in im 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.152 * [backup-simplify]: Simplify (* 1 1) into 1 1.152 * [backup-simplify]: Simplify (+ 0 1) into 1 1.153 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.153 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.153 * [taylor]: Taking taylor expansion of 1/2 in im 1.153 * [backup-simplify]: Simplify 1/2 into 1/2 1.153 * [taylor]: Taking taylor expansion of im in im 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 1 into 1 1.153 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.156 * [taylor]: Taking taylor expansion of 0 in im 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.158 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.158 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.158 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.158 * [taylor]: Taking taylor expansion of re in im 1.158 * [backup-simplify]: Simplify re into re 1.158 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.158 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.158 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.158 * [taylor]: Taking taylor expansion of im in im 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (* 1 1) into 1 1.159 * [backup-simplify]: Simplify (/ 1 1) into 1 1.159 * [backup-simplify]: Simplify (+ 0 1) into 1 1.160 * [backup-simplify]: Simplify (sqrt 1) into 1 1.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (+ 0 0) into 0 1.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.162 * [taylor]: Taking taylor expansion of re in re 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [backup-simplify]: Simplify (* 1 1) into 1 1.163 * [backup-simplify]: Simplify (/ 1 1) into 1 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.163 * [taylor]: Taking taylor expansion of im in re 1.163 * [backup-simplify]: Simplify im into im 1.163 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.163 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.164 * [backup-simplify]: Simplify (+ 1 0) into 1 1.164 * [backup-simplify]: Simplify (sqrt 1) into 1 1.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.166 * [taylor]: Taking taylor expansion of re in re 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify 1 into 1 1.167 * [backup-simplify]: Simplify (* 1 1) into 1 1.167 * [backup-simplify]: Simplify (/ 1 1) into 1 1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.167 * [taylor]: Taking taylor expansion of im in re 1.167 * [backup-simplify]: Simplify im into im 1.167 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.167 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.168 * [backup-simplify]: Simplify (+ 1 0) into 1 1.168 * [backup-simplify]: Simplify (sqrt 1) into 1 1.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.170 * [backup-simplify]: Simplify (+ 0 0) into 0 1.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.171 * [taylor]: Taking taylor expansion of 1 in im 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [taylor]: Taking taylor expansion of 0 in im 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.173 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.174 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.174 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.174 * [taylor]: Taking taylor expansion of 1/2 in im 1.174 * [backup-simplify]: Simplify 1/2 into 1/2 1.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.174 * [taylor]: Taking taylor expansion of im in im 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 1 into 1 1.174 * [backup-simplify]: Simplify (* 1 1) into 1 1.175 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.178 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.179 * [backup-simplify]: Simplify (+ 0 0) into 0 1.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.179 * [taylor]: Taking taylor expansion of 0 in im 1.179 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.182 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.182 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.183 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.183 * [taylor]: Taking taylor expansion of re in im 1.183 * [backup-simplify]: Simplify re into re 1.183 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.183 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.183 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.183 * [taylor]: Taking taylor expansion of im in im 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [backup-simplify]: Simplify (* 1 1) into 1 1.184 * [backup-simplify]: Simplify (/ 1 1) into 1 1.184 * [backup-simplify]: Simplify (+ 0 1) into 1 1.184 * [backup-simplify]: Simplify (sqrt 1) into 1 1.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.187 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.187 * [taylor]: Taking taylor expansion of re in re 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [backup-simplify]: Simplify (* 1 1) into 1 1.187 * [backup-simplify]: Simplify (/ 1 1) into 1 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.187 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.187 * [taylor]: Taking taylor expansion of im in re 1.187 * [backup-simplify]: Simplify im into im 1.188 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.188 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.188 * [backup-simplify]: Simplify (+ 1 0) into 1 1.188 * [backup-simplify]: Simplify (sqrt 1) into 1 1.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.191 * [taylor]: Taking taylor expansion of re in re 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify 1 into 1 1.191 * [backup-simplify]: Simplify (* 1 1) into 1 1.192 * [backup-simplify]: Simplify (/ 1 1) into 1 1.192 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.192 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.192 * [taylor]: Taking taylor expansion of im in re 1.192 * [backup-simplify]: Simplify im into im 1.192 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.192 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.192 * [backup-simplify]: Simplify (+ 1 0) into 1 1.193 * [backup-simplify]: Simplify (sqrt 1) into 1 1.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.194 * [backup-simplify]: Simplify (+ 0 0) into 0 1.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.195 * [taylor]: Taking taylor expansion of 1 in im 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [taylor]: Taking taylor expansion of 0 in im 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.197 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.198 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.198 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.198 * [taylor]: Taking taylor expansion of 1/2 in im 1.198 * [backup-simplify]: Simplify 1/2 into 1/2 1.198 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (* 1 1) into 1 1.199 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.204 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.205 * [backup-simplify]: Simplify (+ 0 0) into 0 1.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.206 * [taylor]: Taking taylor expansion of 0 in im 1.206 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.208 * * * [progress]: simplifying candidates 1.210 * [simplify]: Simplifying: (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (exp (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (* (* (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re 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(- (* re re) (* im im)))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re 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(* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (- (* re re) (* im im)))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (- (* re re) (* im im)))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) 1.215 * * [simplify]: iteration 0: 164 enodes 1.268 * * [simplify]: iteration 1: 305 enodes 1.364 * * [simplify]: iteration 2: 701 enodes 1.818 * * [simplify]: iteration 3: 2997 enodes 2.732 * * [simplify]: iteration complete: 5004 enodes 2.732 * * [simplify]: Extracting #0: cost 47 inf + 0 2.732 * * [simplify]: Extracting #1: cost 83 inf + 8 2.733 * * [simplify]: Extracting #2: cost 229 inf + 28 2.735 * * [simplify]: Extracting #3: cost 1269 inf + 491 2.741 * * [simplify]: Extracting #4: cost 936 inf + 4483 2.748 * * [simplify]: Extracting #5: cost 183 inf + 8715 2.754 * * [simplify]: Extracting #6: cost 21 inf + 9827 2.766 * * [simplify]: Extracting #7: cost 1 inf + 9769 2.777 * * [simplify]: Extracting #8: cost 0 inf + 9758 2.791 * [simplify]: Simplified to: (log (cbrt (+ (* im im) (* re re)))) (exp (cbrt (+ (* im im) (* re re)))) (cbrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) 1 (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6))) (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (cbrt (- (pow re 4) (pow im 4))) (cbrt (* (- re im) (+ re im))) (* (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (+ (* im im) (* re re)) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (log (cbrt (+ (* im im) (* re re)))) (exp (cbrt (+ (* im im) (* re re)))) (cbrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) 1 (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6))) (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (cbrt (- (pow re 4) (pow im 4))) (cbrt (* (- re im) (+ re im))) (* (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (+ (* im im) (* re re)) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (log (cbrt (+ (* im im) (* re re)))) (exp (cbrt (+ (* im im) (* re re)))) (cbrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) 1 (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6))) (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (cbrt (- (pow re 4) (pow im 4))) (cbrt (* (- re im) (+ re im))) (* (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (+ (* im im) (* re re)) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (pow (sqrt (+ (* im im) (* re re))) 3) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (sqrt (* (* (cbrt (- (pow re 4) (pow im 4))) (cbrt (+ (pow im 6) (pow re 6)))) (cbrt (+ (pow im 6) (pow re 6))))) (sqrt (* (* (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3)))))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (* (cbrt (- (pow re 4) (pow im 4))) (cbrt (+ (pow im 6) (pow re 6)))) (cbrt (+ (pow im 6) (pow re 6))))) (sqrt (* (* (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3)))))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (cbrt (- (pow re 4) (pow im 4))) (* (cbrt (- (pow re 4) (pow im 4))) (cbrt (+ (pow im 6) (pow re 6)))))) (sqrt (* (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im)))) (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))))) (sqrt (* (* (cbrt (- (pow re 4) (pow im 4))) (cbrt (+ (pow im 6) (pow re 6)))) (cbrt (+ (pow im 6) (pow re 6))))) (sqrt (* (* (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3)))))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (cbrt (- (pow re 4) (pow im 4))) (* (cbrt (- (pow re 4) (pow im 4))) (cbrt (+ (pow im 6) (pow re 6)))))) (sqrt (* (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im)))) (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))))) (sqrt (* (cbrt (- (pow re 4) (pow im 4))) (* (cbrt (- (pow re 4) (pow im 4))) (cbrt (+ (pow im 6) (pow re 6)))))) (sqrt (* (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im)))) (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (* (- re im) (+ re im))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6)))) (cbrt (+ (pow im 6) (pow re 6))))) (fabs (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3)))))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6)))) (cbrt (- (pow re 4) (pow im 4))))) (sqrt (* (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6)))) (cbrt (- (pow re 4) (pow im 4))))) (sqrt (* (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (cbrt (- (pow re 4) (pow im 4))) (* (cbrt (- (pow re 4) (pow im 4))) (cbrt (+ (* im im) (* re re)))))) (fabs (cbrt (* (- re im) (+ re im)))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6)))) (cbrt (+ (pow im 6) (pow re 6))))) (fabs (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3)))))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6)))) (cbrt (- (pow re 4) (pow im 4))))) (sqrt (* (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6)))) (cbrt (- (pow re 4) (pow im 4))))) (sqrt (* (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (cbrt (- (pow re 4) (pow im 4))) (* (cbrt (- (pow re 4) (pow im 4))) (cbrt (+ (* im im) (* re re)))))) (fabs (cbrt (* (- re im) (+ re im)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6)))))) (sqrt (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3)))))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))) (cbrt (- (pow re 4) (pow im 4))))) (sqrt (cbrt (* (- re im) (+ re im)))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6)))) (cbrt (+ (pow im 6) (pow re 6))))) (fabs (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3)))))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6)))) (cbrt (- (pow re 4) (pow im 4))))) (sqrt (* (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6)))) (cbrt (- (pow re 4) (pow im 4))))) (sqrt (* (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3))))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (cbrt (- (pow re 4) (pow im 4))) (* (cbrt (- (pow re 4) (pow im 4))) (cbrt (+ (* im im) (* re re)))))) (fabs (cbrt (* (- re im) (+ re im)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6)))))) (sqrt (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3)))))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))) (cbrt (- (pow re 4) (pow im 4))))) (sqrt (cbrt (* (- re im) (+ re im)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (pow im 6) (pow re 6)))))) (sqrt (cbrt (- (pow im 4) (* re (- (* re (* im im)) (pow re 3)))))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))) (cbrt (- (pow re 4) (pow im 4))))) (sqrt (cbrt (* (- re im) (+ re im)))) 1/2 3/2 3/2 3/2 1/2 3/2 1/6 1/2 1/2 3/2 3/2 3/2 3/2 3/2 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (+ (* (* (cbrt (/ 1 (pow im 4))) (* 1/3 re)) re) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* (* (cbrt (/ 1 (pow im 4))) (* 1/3 re)) re) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* (* (cbrt (/ 1 (pow im 4))) (* 1/3 re)) re) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (- re) 2.793 * * * [progress]: adding candidates to table 3.351 * * [progress]: iteration 3 / 4 3.351 * * * [progress]: picking best candidate 3.364 * * * * [pick]: Picked # 3.364 * * * [progress]: localizing error 3.366 * * * [progress]: generating rewritten candidates 3.366 * * * [progress]: generating series expansions 3.366 * * * [progress]: simplifying candidates 3.366 * [simplify]: Simplifying: 3.366 * * [simplify]: iteration 0: 0 enodes 3.366 * * [simplify]: iteration complete: 0 enodes 3.366 * * [simplify]: Extracting #0: cost 0 inf + 0 3.366 * [simplify]: Simplified to: 3.366 * * * [progress]: adding candidates to table 3.367 * * [progress]: iteration 4 / 4 3.367 * * * [progress]: picking best candidate 3.376 * * * * [pick]: Picked # 3.376 * * * [progress]: localizing error 3.378 * * * [progress]: generating rewritten candidates 3.378 * * * [progress]: generating series expansions 3.378 * * * [progress]: simplifying candidates 3.378 * [simplify]: Simplifying: 3.378 * * [simplify]: iteration 0: 0 enodes 3.378 * * [simplify]: iteration complete: 0 enodes 3.378 * * [simplify]: Extracting #0: cost 0 inf + 0 3.379 * [simplify]: Simplified to: 3.379 * * * [progress]: adding candidates to table 3.379 * [progress]: [Phase 3 of 3] Extracting. 3.379 * * [regime]: Finding splitpoints for: (# # # # #) 3.380 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 3.380 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 3.442 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 3.478 * * * * [regimes]: Trying to branch on (* re re) from (# # # # #) 3.526 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 3.553 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # #) 3.592 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 3.616 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # #) 3.659 * * * * [regimes]: Trying to branch on im from (# # # # #) 3.712 * * * * [regimes]: Trying to branch on re from (# # # # #) 3.760 * * * [regime]: Found split indices: #