41.380 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.017 * * [simplify]: Extracting # 0 : cost 0 0.017 * * [simplify]: Extracting # 1 : cost 0 0.017 * * [simplify]: Extracting # 2 : cost 0 0.017 * * [simplify]: Extracting # 3 : cost 0 0.017 * * [simplify]: Extracting # 4 : cost 0 0.017 * * [simplify]: Extracting # 5 : cost 0 0.017 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: Extracting # 1 : cost 0 0.018 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.019 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: iteration done: 11 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (hypot re im) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.036 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.036 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.036 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.036 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.036 * [taylor]: Taking taylor expansion of (* re re) in im 0.036 * [taylor]: Taking taylor expansion of re in im 0.036 * [backup-simplify]: Simplify re into re 0.036 * [taylor]: Taking taylor expansion of re in im 0.036 * [backup-simplify]: Simplify re into re 0.036 * [taylor]: Taking taylor expansion of (* im im) in im 0.036 * [taylor]: Taking taylor expansion of im in im 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [taylor]: Taking taylor expansion of im in im 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.036 * [backup-simplify]: Simplify (* 0 0) into 0 0.036 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.037 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.037 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.037 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.037 * [backup-simplify]: Simplify (+ 0 0) into 0 0.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.037 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.037 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.038 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.038 * [taylor]: Taking taylor expansion of (* re re) in re 0.038 * [taylor]: Taking taylor expansion of re in re 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.038 * [taylor]: Taking taylor expansion of re in re 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.038 * [taylor]: Taking taylor expansion of (* im im) in re 0.038 * [taylor]: Taking taylor expansion of im in re 0.038 * [backup-simplify]: Simplify im into im 0.038 * [taylor]: Taking taylor expansion of im in re 0.038 * [backup-simplify]: Simplify im into im 0.038 * [backup-simplify]: Simplify (* 0 0) into 0 0.038 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.038 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.038 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.039 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.039 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.039 * [backup-simplify]: Simplify (+ 0 0) into 0 0.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.039 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.039 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.039 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.039 * [taylor]: Taking taylor expansion of (* re re) in re 0.039 * [taylor]: Taking taylor expansion of re in re 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [taylor]: Taking taylor expansion of re in re 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [taylor]: Taking taylor expansion of (* im im) in re 0.039 * [taylor]: Taking taylor expansion of im in re 0.039 * [backup-simplify]: Simplify im into im 0.039 * [taylor]: Taking taylor expansion of im in re 0.039 * [backup-simplify]: Simplify im into im 0.040 * [backup-simplify]: Simplify (* 0 0) into 0 0.040 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.040 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.040 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.041 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.041 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.041 * [backup-simplify]: Simplify (+ 0 0) into 0 0.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.041 * [taylor]: Taking taylor expansion of im in im 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [taylor]: Taking taylor expansion of 0 in im 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.043 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.043 * [backup-simplify]: Simplify (+ 1 0) into 1 0.044 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.044 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.044 * [taylor]: Taking taylor expansion of 1/2 in im 0.044 * [backup-simplify]: Simplify 1/2 into 1/2 0.044 * [taylor]: Taking taylor expansion of im in im 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.047 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.047 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.048 * [taylor]: Taking taylor expansion of 0 in im 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.049 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.049 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.049 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.049 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.049 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.049 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.049 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.049 * [taylor]: Taking taylor expansion of re in im 0.049 * [backup-simplify]: Simplify re into re 0.049 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.049 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.049 * [taylor]: Taking taylor expansion of re in im 0.049 * [backup-simplify]: Simplify re into re 0.049 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.049 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.049 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.049 * [taylor]: Taking taylor expansion of im in im 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.050 * [taylor]: Taking taylor expansion of (/ 1 im) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.050 * [backup-simplify]: Simplify (+ 0 1) into 1 0.051 * [backup-simplify]: Simplify (sqrt 1) into 1 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.053 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.053 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.053 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.053 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.053 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.053 * [taylor]: Taking taylor expansion of re in re 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.053 * [taylor]: Taking taylor expansion of re in re 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.053 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.053 * [taylor]: Taking taylor expansion of im in re 0.053 * [backup-simplify]: Simplify im into im 0.054 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.054 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.054 * [taylor]: Taking taylor expansion of im in re 0.054 * [backup-simplify]: Simplify im into im 0.054 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.054 * [backup-simplify]: Simplify (* 1 1) into 1 0.054 * [backup-simplify]: Simplify (+ 1 0) into 1 0.054 * [backup-simplify]: Simplify (sqrt 1) into 1 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (sqrt 1))) into 0 0.056 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.056 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.056 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.056 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.057 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.057 * [taylor]: Taking taylor expansion of re in re 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.057 * [taylor]: Taking taylor expansion of re in re 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.057 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.057 * [taylor]: Taking taylor expansion of im in re 0.057 * [backup-simplify]: Simplify im into im 0.057 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.057 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.057 * [taylor]: Taking taylor expansion of im in re 0.057 * [backup-simplify]: Simplify im into im 0.057 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (+ 1 0) into 1 0.058 * [backup-simplify]: Simplify (sqrt 1) into 1 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 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 1 in im 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [taylor]: Taking taylor expansion of 0 in im 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.062 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.062 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.063 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.063 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.063 * [taylor]: Taking taylor expansion of 1/2 in im 0.063 * [backup-simplify]: Simplify 1/2 into 1/2 0.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.063 * [taylor]: Taking taylor expansion of im in im 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.067 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.068 * [taylor]: Taking taylor expansion of 0 in im 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.069 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.069 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.069 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.070 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.070 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.070 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.070 * [taylor]: Taking taylor expansion of -1 in im 0.070 * [backup-simplify]: Simplify -1 into -1 0.070 * [taylor]: Taking taylor expansion of re in im 0.070 * [backup-simplify]: Simplify re into re 0.070 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.070 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.070 * [taylor]: Taking taylor expansion of -1 in im 0.070 * [backup-simplify]: Simplify -1 into -1 0.070 * [taylor]: Taking taylor expansion of re in im 0.070 * [backup-simplify]: Simplify re into re 0.070 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.070 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.070 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.070 * [taylor]: Taking taylor expansion of -1 in im 0.070 * [backup-simplify]: Simplify -1 into -1 0.070 * [taylor]: Taking taylor expansion of im in im 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ -1 1) into -1 0.070 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.070 * [taylor]: Taking taylor expansion of -1 in im 0.070 * [backup-simplify]: Simplify -1 into -1 0.070 * [taylor]: Taking taylor expansion of im in im 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ -1 1) into -1 0.071 * [backup-simplify]: Simplify (* -1 -1) into 1 0.071 * [backup-simplify]: Simplify (+ 0 1) into 1 0.071 * [backup-simplify]: Simplify (sqrt 1) into 1 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.074 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.074 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.074 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.074 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.074 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.074 * [taylor]: Taking taylor expansion of -1 in re 0.074 * [backup-simplify]: Simplify -1 into -1 0.074 * [taylor]: Taking taylor expansion of re in re 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (/ -1 1) into -1 0.074 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.074 * [taylor]: Taking taylor expansion of -1 in re 0.074 * [backup-simplify]: Simplify -1 into -1 0.074 * [taylor]: Taking taylor expansion of re in re 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (/ -1 1) into -1 0.075 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.075 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.075 * [taylor]: Taking taylor expansion of -1 in re 0.075 * [backup-simplify]: Simplify -1 into -1 0.075 * [taylor]: Taking taylor expansion of im in re 0.075 * [backup-simplify]: Simplify im into im 0.075 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.075 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.075 * [taylor]: Taking taylor expansion of -1 in re 0.075 * [backup-simplify]: Simplify -1 into -1 0.075 * [taylor]: Taking taylor expansion of im in re 0.075 * [backup-simplify]: Simplify im into im 0.075 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.075 * [backup-simplify]: Simplify (* -1 -1) into 1 0.076 * [backup-simplify]: Simplify (+ 1 0) into 1 0.076 * [backup-simplify]: Simplify (sqrt 1) into 1 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.078 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.078 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.078 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.078 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.078 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.078 * [taylor]: Taking taylor expansion of -1 in re 0.078 * [backup-simplify]: Simplify -1 into -1 0.078 * [taylor]: Taking taylor expansion of re in re 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ -1 1) into -1 0.079 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.079 * [taylor]: Taking taylor expansion of -1 in re 0.079 * [backup-simplify]: Simplify -1 into -1 0.079 * [taylor]: Taking taylor expansion of re in re 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ -1 1) into -1 0.079 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.079 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.079 * [taylor]: Taking taylor expansion of -1 in re 0.079 * [backup-simplify]: Simplify -1 into -1 0.079 * [taylor]: Taking taylor expansion of im in re 0.079 * [backup-simplify]: Simplify im into im 0.079 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.079 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.079 * [taylor]: Taking taylor expansion of -1 in re 0.079 * [backup-simplify]: Simplify -1 into -1 0.079 * [taylor]: Taking taylor expansion of im in re 0.079 * [backup-simplify]: Simplify im into im 0.079 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.080 * [backup-simplify]: Simplify (* -1 -1) into 1 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.081 * [backup-simplify]: Simplify (sqrt 1) into 1 0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.084 * [taylor]: Taking taylor expansion of 1 in im 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.088 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.088 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.090 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.090 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.090 * [taylor]: Taking taylor expansion of 1/2 in im 0.090 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.102 * * * [progress]: simplifying candidates 0.102 * [simplify]: Simplifying: (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (* -1 re) 0.103 * * [simplify]: Extracting # 0 : cost 0 0.103 * * [simplify]: Extracting # 1 : cost 0 0.103 * * [simplify]: Extracting # 2 : cost 0 0.103 * * [simplify]: Extracting # 3 : cost 0 0.103 * * [simplify]: iteration 0 : 17 enodes (cost 60 ) 0.106 * * [simplify]: Extracting # 0 : cost 0 0.106 * * [simplify]: Extracting # 1 : cost 0 0.106 * * [simplify]: iteration 1 : 22 enodes (cost 58 ) 0.109 * * [simplify]: Extracting # 0 : cost 0 0.109 * * [simplify]: Extracting # 1 : cost 0 0.109 * * [simplify]: Extracting # 2 : cost 0 0.109 * * [simplify]: iteration 2 : 25 enodes (cost 52 ) 0.113 * * [simplify]: Extracting # 0 : cost 0 0.113 * * [simplify]: Extracting # 1 : cost 0 0.113 * * [simplify]: Extracting # 2 : cost 0 0.113 * * [simplify]: Extracting # 3 : cost 0 0.113 * * [simplify]: Extracting # 4 : cost 0 0.113 * * [simplify]: iteration 3 : 30 enodes (cost 52 ) 0.118 * * [simplify]: Extracting # 0 : cost 0 0.118 * * [simplify]: Extracting # 1 : cost 0 0.118 * * [simplify]: Extracting # 2 : cost 0 0.118 * * [simplify]: Extracting # 3 : cost 0 0.118 * * [simplify]: Extracting # 4 : cost 0 0.118 * * [simplify]: iteration 4 : 36 enodes (cost 52 ) 0.123 * * [simplify]: Extracting # 0 : cost 0 0.124 * * [simplify]: Extracting # 1 : cost 0 0.124 * * [simplify]: Extracting # 2 : cost 0 0.124 * * [simplify]: Extracting # 3 : cost 0 0.124 * * [simplify]: Extracting # 4 : cost 0 0.124 * * [simplify]: iteration 5 : 46 enodes (cost 52 ) 0.137 * * [simplify]: Extracting # 0 : cost 0 0.137 * * [simplify]: Extracting # 1 : cost 0 0.137 * * [simplify]: Extracting # 2 : cost 0 0.137 * * [simplify]: Extracting # 3 : cost 0 0.137 * * [simplify]: iteration 6 : 67 enodes (cost 52 ) 0.152 * * [simplify]: Extracting # 0 : cost 0 0.152 * * [simplify]: Extracting # 1 : cost 0 0.153 * * [simplify]: Extracting # 2 : cost 0 0.153 * * [simplify]: Extracting # 3 : cost 0 0.153 * * [simplify]: iteration 7 : 146 enodes (cost 52 ) 0.237 * * [simplify]: Extracting # 0 : cost 0 0.238 * * [simplify]: Extracting # 1 : cost 0 0.238 * * [simplify]: Extracting # 2 : cost 0 0.238 * * [simplify]: Extracting # 3 : cost 0 0.238 * * [simplify]: Extracting # 4 : cost 0 0.239 * * [simplify]: iteration 8 : 431 enodes (cost 52 ) 1.076 * * [simplify]: Extracting # 0 : cost 0 1.078 * * [simplify]: Extracting # 1 : cost 0 1.079 * * [simplify]: Extracting # 2 : cost 0 1.080 * * [simplify]: Extracting # 3 : cost 0 1.081 * * [simplify]: Extracting # 4 : cost 0 1.082 * * [simplify]: iteration 9 : 1841 enodes (cost 52 ) 1.982 * * [simplify]: Extracting # 0 : cost 0 1.987 * * [simplify]: Extracting # 1 : cost 0 1.994 * * [simplify]: Extracting # 2 : cost 0 2.000 * * [simplify]: Extracting # 3 : cost 0 2.006 * * [simplify]: iteration done: 5001 enodes (cost 52 ) 2.006 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (- re) 2.006 * * * [progress]: adding candidates to table 2.056 * * [progress]: iteration 2 / 4 2.056 * * * [progress]: picking best candidate 2.059 * * * * [pick]: Picked # 2.059 * * * [progress]: localizing error 2.072 * * * [progress]: generating rewritten candidates 2.072 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.088 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.105 * * * [progress]: generating series expansions 2.105 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.105 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.105 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.105 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.105 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.105 * [taylor]: Taking taylor expansion of re in im 2.105 * [backup-simplify]: Simplify re into re 2.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.105 * [taylor]: Taking taylor expansion of im in im 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 1 into 1 2.106 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.106 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.106 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.106 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.107 * [backup-simplify]: Simplify (+ 0 0) into 0 2.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.107 * [taylor]: Taking taylor expansion of im in re 2.107 * [backup-simplify]: Simplify im into im 2.107 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.107 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.108 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.108 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.108 * [taylor]: Taking taylor expansion of re in re 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.108 * [taylor]: Taking taylor expansion of im in re 2.109 * [backup-simplify]: Simplify im into im 2.109 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.109 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.109 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.109 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.110 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.110 * [taylor]: Taking taylor expansion of im in im 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [taylor]: Taking taylor expansion of 0 in im 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (* 1 1) into 1 2.111 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.112 * [backup-simplify]: Simplify (+ 1 0) into 1 2.113 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.113 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.113 * [taylor]: Taking taylor expansion of 1/2 in im 2.113 * [backup-simplify]: Simplify 1/2 into 1/2 2.113 * [taylor]: Taking taylor expansion of im in im 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.116 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.116 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.117 * [taylor]: Taking taylor expansion of 0 in im 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.118 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.118 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.118 * [taylor]: Taking taylor expansion of im in im 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify (* 1 1) into 1 2.119 * [backup-simplify]: Simplify (/ 1 1) into 1 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.119 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.119 * [taylor]: Taking taylor expansion of re in im 2.119 * [backup-simplify]: Simplify re into re 2.119 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.120 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.120 * [backup-simplify]: Simplify (+ 1 0) into 1 2.120 * [backup-simplify]: Simplify (sqrt 1) into 1 2.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.122 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.123 * [taylor]: Taking taylor expansion of im in re 2.123 * [backup-simplify]: Simplify im into im 2.123 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.124 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.124 * [taylor]: Taking taylor expansion of re in re 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (* 1 1) into 1 2.125 * [backup-simplify]: Simplify (/ 1 1) into 1 2.125 * [backup-simplify]: Simplify (+ 0 1) into 1 2.125 * [backup-simplify]: Simplify (sqrt 1) into 1 2.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.128 * [taylor]: Taking taylor expansion of im in re 2.128 * [backup-simplify]: Simplify im into im 2.128 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.128 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.128 * [taylor]: Taking taylor expansion of re in re 2.128 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (* 1 1) into 1 2.129 * [backup-simplify]: Simplify (/ 1 1) into 1 2.130 * [backup-simplify]: Simplify (+ 0 1) into 1 2.130 * [backup-simplify]: Simplify (sqrt 1) into 1 2.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.133 * [taylor]: Taking taylor expansion of 1 in im 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [taylor]: Taking taylor expansion of 0 in im 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.144 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.144 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.144 * [taylor]: Taking taylor expansion of 1/2 in im 2.144 * [backup-simplify]: Simplify 1/2 into 1/2 2.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.144 * [taylor]: Taking taylor expansion of im in im 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (* 1 1) into 1 2.145 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.149 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.150 * [taylor]: Taking taylor expansion of 0 in im 2.150 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.153 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.153 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.153 * [taylor]: Taking taylor expansion of im in im 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (* 1 1) into 1 2.154 * [backup-simplify]: Simplify (/ 1 1) into 1 2.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.154 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.154 * [taylor]: Taking taylor expansion of re in im 2.154 * [backup-simplify]: Simplify re into re 2.154 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.154 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.154 * [backup-simplify]: Simplify (+ 1 0) into 1 2.155 * [backup-simplify]: Simplify (sqrt 1) into 1 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (+ 0 0) into 0 2.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.157 * [taylor]: Taking taylor expansion of im in re 2.157 * [backup-simplify]: Simplify im into im 2.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.158 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.158 * [taylor]: Taking taylor expansion of re in re 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (* 1 1) into 1 2.159 * [backup-simplify]: Simplify (/ 1 1) into 1 2.159 * [backup-simplify]: Simplify (+ 0 1) into 1 2.159 * [backup-simplify]: Simplify (sqrt 1) into 1 2.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.162 * [taylor]: Taking taylor expansion of im in re 2.162 * [backup-simplify]: Simplify im into im 2.162 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.163 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.163 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.163 * [taylor]: Taking taylor expansion of re in re 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (* 1 1) into 1 2.164 * [backup-simplify]: Simplify (/ 1 1) into 1 2.164 * [backup-simplify]: Simplify (+ 0 1) into 1 2.164 * [backup-simplify]: Simplify (sqrt 1) into 1 2.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (+ 0 0) into 0 2.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.167 * [taylor]: Taking taylor expansion of 1 in im 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [taylor]: Taking taylor expansion of 0 in im 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.170 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.170 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.170 * [taylor]: Taking taylor expansion of 1/2 in im 2.171 * [backup-simplify]: Simplify 1/2 into 1/2 2.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.171 * [taylor]: Taking taylor expansion of im in im 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (* 1 1) into 1 2.171 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.176 * [taylor]: Taking taylor expansion of 0 in im 2.176 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.179 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.179 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 2.179 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 2.179 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.179 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.179 * [taylor]: Taking taylor expansion of re in im 2.179 * [backup-simplify]: Simplify re into re 2.179 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.179 * [taylor]: Taking taylor expansion of im in im 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.179 * [taylor]: Taking taylor expansion of re in re 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.179 * [taylor]: Taking taylor expansion of im in re 2.179 * [backup-simplify]: Simplify im into im 2.179 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.179 * [taylor]: Taking taylor expansion of re in re 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.180 * [taylor]: Taking taylor expansion of im in re 2.180 * [backup-simplify]: Simplify im into im 2.180 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.180 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.180 * [taylor]: Taking taylor expansion of im in im 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.181 * [backup-simplify]: Simplify (+ 0 0) into 0 2.181 * [taylor]: Taking taylor expansion of 0 in im 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify (* 1 1) into 1 2.181 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.182 * [backup-simplify]: Simplify (+ 1 0) into 1 2.182 * [taylor]: Taking taylor expansion of 1 in im 2.182 * [backup-simplify]: Simplify 1 into 1 2.182 * [backup-simplify]: Simplify 1 into 1 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (* 1 1) into 1 2.182 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.184 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.184 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [taylor]: Taking taylor expansion of 0 in im 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.187 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 2.187 * [backup-simplify]: Simplify (+ 0 0) into 0 2.188 * [taylor]: Taking taylor expansion of 0 in im 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 2.188 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 2.188 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 2.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.189 * [taylor]: Taking taylor expansion of im in im 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify (* 1 1) into 1 2.189 * [backup-simplify]: Simplify (/ 1 1) into 1 2.189 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.189 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.189 * [taylor]: Taking taylor expansion of re in im 2.189 * [backup-simplify]: Simplify re into re 2.190 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.190 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.190 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.190 * [taylor]: Taking taylor expansion of im in re 2.190 * [backup-simplify]: Simplify im into im 2.190 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.190 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.190 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.190 * [taylor]: Taking taylor expansion of re in re 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 1 into 1 2.191 * [backup-simplify]: Simplify (* 1 1) into 1 2.191 * [backup-simplify]: Simplify (/ 1 1) into 1 2.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.191 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.191 * [taylor]: Taking taylor expansion of im in re 2.191 * [backup-simplify]: Simplify im into im 2.191 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.191 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.191 * [taylor]: Taking taylor expansion of re in re 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (* 1 1) into 1 2.192 * [backup-simplify]: Simplify (/ 1 1) into 1 2.193 * [backup-simplify]: Simplify (+ 0 1) into 1 2.193 * [taylor]: Taking taylor expansion of 1 in im 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.194 * [backup-simplify]: Simplify (+ 0 0) into 0 2.195 * [taylor]: Taking taylor expansion of 0 in im 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.197 * [taylor]: Taking taylor expansion of im in im 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 1 into 1 2.197 * [backup-simplify]: Simplify (* 1 1) into 1 2.198 * [backup-simplify]: Simplify (/ 1 1) into 1 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.201 * [taylor]: Taking taylor expansion of 0 in im 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (+ 0 0) into 0 2.206 * [taylor]: Taking taylor expansion of 0 in im 2.206 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 2.209 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 2.209 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 2.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.209 * [taylor]: Taking taylor expansion of im in im 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (* 1 1) into 1 2.210 * [backup-simplify]: Simplify (/ 1 1) into 1 2.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.210 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.210 * [taylor]: Taking taylor expansion of re in im 2.210 * [backup-simplify]: Simplify re into re 2.210 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.210 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.210 * [taylor]: Taking taylor expansion of im in re 2.210 * [backup-simplify]: Simplify im into im 2.210 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.211 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.211 * [taylor]: Taking taylor expansion of re in re 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [backup-simplify]: Simplify (* 1 1) into 1 2.212 * [backup-simplify]: Simplify (/ 1 1) into 1 2.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.212 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.212 * [taylor]: Taking taylor expansion of im in re 2.212 * [backup-simplify]: Simplify im into im 2.212 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.212 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.212 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.212 * [taylor]: Taking taylor expansion of re in re 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (* 1 1) into 1 2.213 * [backup-simplify]: Simplify (/ 1 1) into 1 2.214 * [backup-simplify]: Simplify (+ 0 1) into 1 2.214 * [taylor]: Taking taylor expansion of 1 in im 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (+ 0 0) into 0 2.216 * [taylor]: Taking taylor expansion of 0 in im 2.216 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.218 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.218 * [taylor]: Taking taylor expansion of im in im 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (* 1 1) into 1 2.219 * [backup-simplify]: Simplify (/ 1 1) into 1 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.222 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [taylor]: Taking taylor expansion of 0 in im 2.222 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [taylor]: Taking taylor expansion of 0 in im 2.228 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 2.230 * * * [progress]: simplifying candidates 2.231 * [simplify]: Simplifying: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 2.232 * * [simplify]: Extracting # 0 : cost 0 2.233 * * [simplify]: Extracting # 1 : cost 0 2.233 * * [simplify]: Extracting # 2 : cost 0 2.233 * * [simplify]: Extracting # 3 : cost 0 2.233 * * [simplify]: Extracting # 4 : cost 0 2.233 * * [simplify]: Extracting # 5 : cost 0 2.233 * * [simplify]: iteration 0 : 52 enodes (cost 413 ) 2.247 * * [simplify]: Extracting # 0 : cost 0 2.247 * * [simplify]: Extracting # 1 : cost 0 2.248 * * [simplify]: Extracting # 2 : cost 0 2.248 * * [simplify]: Extracting # 3 : cost 0 2.248 * * [simplify]: Extracting # 4 : cost 0 2.248 * * [simplify]: iteration 1 : 134 enodes (cost 285 ) 2.304 * * [simplify]: Extracting # 0 : cost 0 2.305 * * [simplify]: Extracting # 1 : cost 0 2.305 * * [simplify]: Extracting # 2 : cost 0 2.305 * * [simplify]: Extracting # 3 : cost 0 2.306 * * [simplify]: Extracting # 4 : cost 0 2.306 * * [simplify]: iteration 2 : 396 enodes (cost 237 ) 2.510 * * [simplify]: Extracting # 0 : cost 0 2.512 * * [simplify]: Extracting # 1 : cost 0 2.513 * * [simplify]: Extracting # 2 : cost 0 2.514 * * [simplify]: Extracting # 3 : cost 0 2.516 * * [simplify]: Extracting # 4 : cost 0 2.517 * * [simplify]: iteration 3 : 1156 enodes (cost 233 ) 3.902 * * [simplify]: Extracting # 0 : cost 0 3.910 * * [simplify]: Extracting # 1 : cost 0 3.916 * * [simplify]: Extracting # 2 : cost 0 3.922 * * [simplify]: Extracting # 3 : cost 0 3.927 * * [simplify]: Extracting # 4 : cost 0 3.934 * * [simplify]: iteration 4 : 3429 enodes (cost 233 ) 5.066 * * [simplify]: Extracting # 0 : cost 0 5.072 * * [simplify]: Extracting # 1 : cost 0 5.078 * * [simplify]: Extracting # 2 : cost 0 5.089 * * [simplify]: Extracting # 3 : cost 0 5.095 * * [simplify]: iteration done: 5000 enodes (cost 233 ) 5.095 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (fabs (cbrt (fma re re (* im im)))) (sqrt (cbrt (fma re re (* im im)))) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (fma (* im im) (- (* im im) (* re re)) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (fma re re (* im im))) (log1p (fma re re (* im im))) (exp (fma re re (* im im))) (* 2 (log (hypot re im))) (exp (fma re re (* im im))) (* (cbrt (fma re re (* im im))) (cbrt (fma re re (* im im)))) (cbrt (fma re re (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (+ (pow re 6) (pow im 6)) (fma (* im im) (- (* im im) (* re re)) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 5.095 * * * [progress]: adding candidates to table 5.240 * [progress]: [Phase 3 of 3] Extracting. 5.240 * * [regime]: Finding splitpoints for: (# #) 5.240 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 5.240 * * * * [regimes]: Trying to branch on (* im im) from (# #) 5.260 * * * * [regimes]: Trying to branch on (* re re) from (# #) 5.285 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 5.307 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 5.333 * * * * [regimes]: Trying to branch on im from (# #) 5.346 * * * * [regimes]: Trying to branch on re from (# #) 5.358 * * * [regime]: Found split indices: #