46.760 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.015 * * [simplify]: Extracting # 0 : cost 0 0.015 * * [simplify]: Extracting # 1 : cost 0 0.015 * * [simplify]: Extracting # 2 : cost 0 0.015 * * [simplify]: Extracting # 3 : cost 0 0.015 * * [simplify]: Extracting # 4 : cost 0 0.015 * * [simplify]: Extracting # 5 : cost 0 0.015 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.016 * * [simplify]: Extracting # 0 : cost 0 0.016 * * [simplify]: Extracting # 1 : cost 0 0.016 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.017 * * [simplify]: Extracting # 0 : cost 0 0.017 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: iteration done: 11 enodes (cost 3 ) 0.018 * [simplify]: Simplified to: (hypot re im) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.026 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.026 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.026 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.026 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.026 * [taylor]: Taking taylor expansion of (* re re) in im 0.026 * [taylor]: Taking taylor expansion of re in im 0.026 * [backup-simplify]: Simplify re into re 0.026 * [taylor]: Taking taylor expansion of re in im 0.026 * [backup-simplify]: Simplify re into re 0.026 * [taylor]: Taking taylor expansion of (* im im) in im 0.026 * [taylor]: Taking taylor expansion of im in im 0.026 * [backup-simplify]: Simplify 0 into 0 0.027 * [backup-simplify]: Simplify 1 into 1 0.027 * [taylor]: Taking taylor expansion of im in im 0.027 * [backup-simplify]: Simplify 0 into 0 0.027 * [backup-simplify]: Simplify 1 into 1 0.027 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.027 * [backup-simplify]: Simplify (* 0 0) into 0 0.027 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.027 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.027 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.028 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.028 * [backup-simplify]: Simplify (+ 0 0) into 0 0.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.028 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.028 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.028 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.028 * [taylor]: Taking taylor expansion of (* re re) in re 0.028 * [taylor]: Taking taylor expansion of re in re 0.028 * [backup-simplify]: Simplify 0 into 0 0.028 * [backup-simplify]: Simplify 1 into 1 0.028 * [taylor]: Taking taylor expansion of re in re 0.028 * [backup-simplify]: Simplify 0 into 0 0.028 * [backup-simplify]: Simplify 1 into 1 0.028 * [taylor]: Taking taylor expansion of (* im im) in re 0.028 * [taylor]: Taking taylor expansion of im in re 0.028 * [backup-simplify]: Simplify im into im 0.028 * [taylor]: Taking taylor expansion of im in re 0.028 * [backup-simplify]: Simplify im into im 0.028 * [backup-simplify]: Simplify (* 0 0) into 0 0.028 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.029 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.029 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.029 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.029 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.029 * [backup-simplify]: Simplify (+ 0 0) into 0 0.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.029 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.030 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.030 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.030 * [taylor]: Taking taylor expansion of (* re re) in re 0.030 * [taylor]: Taking taylor expansion of re in re 0.030 * [backup-simplify]: Simplify 0 into 0 0.030 * [backup-simplify]: Simplify 1 into 1 0.030 * [taylor]: Taking taylor expansion of re in re 0.030 * [backup-simplify]: Simplify 0 into 0 0.030 * [backup-simplify]: Simplify 1 into 1 0.030 * [taylor]: Taking taylor expansion of (* im im) in re 0.030 * [taylor]: Taking taylor expansion of im in re 0.030 * [backup-simplify]: Simplify im into im 0.030 * [taylor]: Taking taylor expansion of im in re 0.030 * [backup-simplify]: Simplify im into im 0.030 * [backup-simplify]: Simplify (* 0 0) into 0 0.030 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.030 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.030 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.036 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.036 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.036 * [backup-simplify]: Simplify (+ 0 0) into 0 0.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.037 * [taylor]: Taking taylor expansion of im in im 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [taylor]: Taking taylor expansion of 0 in im 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.037 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.038 * [backup-simplify]: Simplify (+ 1 0) into 1 0.038 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.038 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.038 * [taylor]: Taking taylor expansion of 1/2 in im 0.038 * [backup-simplify]: Simplify 1/2 into 1/2 0.038 * [taylor]: Taking taylor expansion of im in im 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.040 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.040 * [backup-simplify]: Simplify (+ 0 0) into 0 0.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.041 * [taylor]: Taking taylor expansion of 0 in im 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.041 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.041 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.041 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.041 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.041 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.041 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.042 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.042 * [taylor]: Taking taylor expansion of re in im 0.042 * [backup-simplify]: Simplify re into re 0.042 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.042 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.042 * [taylor]: Taking taylor expansion of re in im 0.042 * [backup-simplify]: Simplify re into re 0.042 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.042 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.042 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.042 * [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 (/ 1 1) into 1 0.042 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.042 * [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 (/ 1 1) into 1 0.043 * [backup-simplify]: Simplify (* 1 1) into 1 0.043 * [backup-simplify]: Simplify (+ 0 1) into 1 0.043 * [backup-simplify]: Simplify (sqrt 1) into 1 0.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.045 * [backup-simplify]: Simplify (+ 0 0) into 0 0.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.045 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.045 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.045 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.045 * [taylor]: Taking taylor expansion of re in re 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (/ 1 1) into 1 0.046 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.046 * [taylor]: Taking taylor expansion of re in re 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (/ 1 1) into 1 0.046 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.046 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.046 * [taylor]: Taking taylor expansion of im in re 0.046 * [backup-simplify]: Simplify im into im 0.046 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.046 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.046 * [taylor]: Taking taylor expansion of im in re 0.046 * [backup-simplify]: Simplify im into im 0.046 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.046 * [backup-simplify]: Simplify (* 1 1) into 1 0.047 * [backup-simplify]: Simplify (+ 1 0) into 1 0.047 * [backup-simplify]: Simplify (sqrt 1) into 1 0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.049 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 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 re 0.049 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.049 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.049 * [taylor]: Taking taylor expansion of re in re 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (/ 1 1) into 1 0.049 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.049 * [taylor]: Taking taylor expansion of re in re 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (/ 1 1) into 1 0.049 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.049 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.049 * [taylor]: Taking taylor expansion of im in re 0.049 * [backup-simplify]: Simplify im into im 0.050 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.050 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.050 * [taylor]: Taking taylor expansion of im in re 0.050 * [backup-simplify]: Simplify im into im 0.050 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.050 * [backup-simplify]: Simplify (+ 1 0) into 1 0.050 * [backup-simplify]: Simplify (sqrt 1) into 1 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.052 * [taylor]: Taking taylor expansion of 1 in im 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [taylor]: Taking taylor expansion of 0 in im 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.054 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.054 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.055 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.055 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.055 * [taylor]: Taking taylor expansion of 1/2 in im 0.055 * [backup-simplify]: Simplify 1/2 into 1/2 0.055 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.055 * [taylor]: Taking taylor expansion of im in im 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (* 1 1) into 1 0.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.058 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.059 * [taylor]: Taking taylor expansion of 0 in im 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.060 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.060 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.060 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.060 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.060 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.060 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.060 * [taylor]: Taking taylor expansion of (/ -1 re) in im 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 re in im 0.060 * [backup-simplify]: Simplify re into re 0.060 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.060 * [taylor]: Taking taylor expansion of (/ -1 re) in im 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 re in im 0.060 * [backup-simplify]: Simplify re into re 0.060 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.060 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.060 * [taylor]: Taking taylor expansion of (/ -1 im) in im 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 im in im 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (/ -1 1) into -1 0.061 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.061 * [taylor]: Taking taylor expansion of -1 in im 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of im in im 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (/ -1 1) into -1 0.061 * [backup-simplify]: Simplify (* -1 -1) into 1 0.062 * [backup-simplify]: Simplify (+ 0 1) into 1 0.062 * [backup-simplify]: Simplify (sqrt 1) into 1 0.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.064 * [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 (hypot (/ -1 re) (/ -1 im)) in re 0.064 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.064 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.064 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.064 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.064 * [taylor]: Taking taylor expansion of -1 in re 0.064 * [backup-simplify]: Simplify -1 into -1 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 0.065 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.065 * [taylor]: Taking taylor expansion of -1 in re 0.065 * [backup-simplify]: Simplify -1 into -1 0.065 * [taylor]: Taking taylor expansion of re in re 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ -1 1) into -1 0.065 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.065 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.065 * [taylor]: Taking taylor expansion of -1 in re 0.065 * [backup-simplify]: Simplify -1 into -1 0.065 * [taylor]: Taking taylor expansion of im in re 0.065 * [backup-simplify]: Simplify im into im 0.065 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.065 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.065 * [taylor]: Taking taylor expansion of -1 in re 0.065 * [backup-simplify]: Simplify -1 into -1 0.065 * [taylor]: Taking taylor expansion of im in re 0.065 * [backup-simplify]: Simplify im into im 0.065 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.065 * [backup-simplify]: Simplify (* -1 -1) into 1 0.066 * [backup-simplify]: Simplify (+ 1 0) into 1 0.066 * [backup-simplify]: Simplify (sqrt 1) into 1 0.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.068 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.068 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.068 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.068 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.068 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.068 * [taylor]: Taking taylor expansion of -1 in re 0.068 * [backup-simplify]: Simplify -1 into -1 0.068 * [taylor]: Taking taylor expansion of re in re 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (/ -1 1) into -1 0.068 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.068 * [taylor]: Taking taylor expansion of -1 in re 0.068 * [backup-simplify]: Simplify -1 into -1 0.068 * [taylor]: Taking taylor expansion of re in re 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ -1 1) into -1 0.069 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.069 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.069 * [taylor]: Taking taylor expansion of -1 in re 0.069 * [backup-simplify]: Simplify -1 into -1 0.069 * [taylor]: Taking taylor expansion of im in re 0.069 * [backup-simplify]: Simplify im into im 0.069 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.069 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.069 * [taylor]: Taking taylor expansion of -1 in re 0.069 * [backup-simplify]: Simplify -1 into -1 0.069 * [taylor]: Taking taylor expansion of im in re 0.069 * [backup-simplify]: Simplify im into im 0.069 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.069 * [backup-simplify]: Simplify (* -1 -1) into 1 0.069 * [backup-simplify]: Simplify (+ 1 0) into 1 0.070 * [backup-simplify]: Simplify (sqrt 1) into 1 0.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.072 * [taylor]: Taking taylor expansion of 1 in im 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of 0 in im 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.073 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.074 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.074 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.074 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.074 * [taylor]: Taking taylor expansion of 1/2 in im 0.074 * [backup-simplify]: Simplify 1/2 into 1/2 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.074 * [taylor]: Taking taylor expansion of im in im 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.078 * [taylor]: Taking taylor expansion of 0 in im 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.080 * * * [progress]: simplifying candidates 0.080 * [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) 0.080 * * [simplify]: Extracting # 0 : cost 0 0.080 * * [simplify]: Extracting # 1 : cost 0 0.080 * * [simplify]: Extracting # 2 : cost 0 0.080 * * [simplify]: Extracting # 3 : cost 0 0.080 * * [simplify]: iteration 0 : 17 enodes (cost 60 ) 0.083 * * [simplify]: Extracting # 0 : cost 0 0.083 * * [simplify]: Extracting # 1 : cost 0 0.083 * * [simplify]: iteration 1 : 22 enodes (cost 58 ) 0.086 * * [simplify]: Extracting # 0 : cost 0 0.086 * * [simplify]: Extracting # 1 : cost 0 0.086 * * [simplify]: Extracting # 2 : cost 0 0.086 * * [simplify]: iteration 2 : 25 enodes (cost 52 ) 0.089 * * [simplify]: Extracting # 0 : cost 0 0.089 * * [simplify]: Extracting # 1 : cost 0 0.089 * * [simplify]: Extracting # 2 : cost 0 0.089 * * [simplify]: Extracting # 3 : cost 0 0.089 * * [simplify]: Extracting # 4 : cost 0 0.089 * * [simplify]: iteration 3 : 30 enodes (cost 52 ) 0.094 * * [simplify]: Extracting # 0 : cost 0 0.094 * * [simplify]: Extracting # 1 : cost 0 0.094 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: Extracting # 3 : cost 0 0.094 * * [simplify]: Extracting # 4 : cost 0 0.094 * * [simplify]: iteration 4 : 36 enodes (cost 52 ) 0.099 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: Extracting # 1 : cost 0 0.099 * * [simplify]: Extracting # 2 : cost 0 0.099 * * [simplify]: Extracting # 3 : cost 0 0.099 * * [simplify]: Extracting # 4 : cost 0 0.099 * * [simplify]: iteration 5 : 46 enodes (cost 52 ) 0.106 * * [simplify]: Extracting # 0 : cost 0 0.106 * * [simplify]: Extracting # 1 : cost 0 0.106 * * [simplify]: Extracting # 2 : cost 0 0.106 * * [simplify]: Extracting # 3 : cost 0 0.106 * * [simplify]: iteration 6 : 67 enodes (cost 52 ) 0.126 * * [simplify]: Extracting # 0 : cost 0 0.126 * * [simplify]: Extracting # 1 : cost 0 0.126 * * [simplify]: Extracting # 2 : cost 0 0.126 * * [simplify]: Extracting # 3 : cost 0 0.126 * * [simplify]: iteration 7 : 146 enodes (cost 52 ) 0.192 * * [simplify]: Extracting # 0 : cost 0 0.193 * * [simplify]: Extracting # 1 : cost 0 0.193 * * [simplify]: Extracting # 2 : cost 0 0.193 * * [simplify]: Extracting # 3 : cost 0 0.194 * * [simplify]: Extracting # 4 : cost 0 0.194 * * [simplify]: iteration 8 : 431 enodes (cost 52 ) 0.917 * * [simplify]: Extracting # 0 : cost 0 0.919 * * [simplify]: Extracting # 1 : cost 0 0.921 * * [simplify]: Extracting # 2 : cost 0 0.926 * * [simplify]: Extracting # 3 : cost 0 0.927 * * [simplify]: Extracting # 4 : cost 0 0.928 * * [simplify]: iteration 9 : 1841 enodes (cost 52 ) 1.884 * * [simplify]: Extracting # 0 : cost 0 1.891 * * [simplify]: Extracting # 1 : cost 0 1.900 * * [simplify]: Extracting # 2 : cost 0 1.909 * * [simplify]: Extracting # 3 : cost 0 1.917 * * [simplify]: iteration done: 5001 enodes (cost 52 ) 1.917 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (- re) 1.917 * * * [progress]: adding candidates to table 1.967 * * [progress]: iteration 2 / 4 1.967 * * * [progress]: picking best candidate 1.970 * * * * [pick]: Picked # 1.970 * * * [progress]: localizing error 1.978 * * * [progress]: generating rewritten candidates 1.978 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.000 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 2.001 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 2.004 * * * [progress]: generating series expansions 2.004 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.005 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 2.005 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 2.005 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.005 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.005 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.005 * [taylor]: Taking taylor expansion of (* re re) in im 2.005 * [taylor]: Taking taylor expansion of re in im 2.005 * [backup-simplify]: Simplify re into re 2.005 * [taylor]: Taking taylor expansion of re in im 2.005 * [backup-simplify]: Simplify re into re 2.005 * [taylor]: Taking taylor expansion of (* im im) in im 2.005 * [taylor]: Taking taylor expansion of im in im 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [taylor]: Taking taylor expansion of im in im 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.006 * [backup-simplify]: Simplify (* 0 0) into 0 2.006 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.006 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.006 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.007 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.007 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.007 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.007 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.007 * [taylor]: Taking taylor expansion of (* re re) in re 2.007 * [taylor]: Taking taylor expansion of re in re 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [taylor]: Taking taylor expansion of re in re 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [taylor]: Taking taylor expansion of (* im im) in re 2.007 * [taylor]: Taking taylor expansion of im in re 2.008 * [backup-simplify]: Simplify im into im 2.008 * [taylor]: Taking taylor expansion of im in re 2.008 * [backup-simplify]: Simplify im into im 2.008 * [backup-simplify]: Simplify (* 0 0) into 0 2.008 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.008 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.008 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.009 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.009 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.009 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.009 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.009 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.010 * [taylor]: Taking taylor expansion of (* re re) in re 2.010 * [taylor]: Taking taylor expansion of re in re 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [taylor]: Taking taylor expansion of re in re 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [taylor]: Taking taylor expansion of (* im im) in re 2.010 * [taylor]: Taking taylor expansion of im in re 2.010 * [backup-simplify]: Simplify im into im 2.010 * [taylor]: Taking taylor expansion of im in re 2.010 * [backup-simplify]: Simplify im into im 2.010 * [backup-simplify]: Simplify (* 0 0) into 0 2.010 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.010 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.010 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.011 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.011 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.012 * [taylor]: Taking taylor expansion of im in im 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [taylor]: Taking taylor expansion of 0 in im 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.013 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.013 * [backup-simplify]: Simplify (+ 1 0) into 1 2.014 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.014 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.014 * [taylor]: Taking taylor expansion of 1/2 in im 2.014 * [backup-simplify]: Simplify 1/2 into 1/2 2.014 * [taylor]: Taking taylor expansion of im in im 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.017 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.017 * [taylor]: Taking taylor expansion of 0 in im 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.018 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 2.019 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 2.019 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.019 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.019 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.019 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.019 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.019 * [taylor]: Taking taylor expansion of re in im 2.019 * [backup-simplify]: Simplify re into re 2.019 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.019 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.019 * [taylor]: Taking taylor expansion of re in im 2.019 * [backup-simplify]: Simplify re into re 2.019 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.019 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.019 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.019 * [taylor]: Taking taylor expansion of im in im 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (/ 1 1) into 1 2.020 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.020 * [taylor]: Taking taylor expansion of im in im 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [backup-simplify]: Simplify (/ 1 1) into 1 2.020 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (+ 0 1) into 1 2.021 * [backup-simplify]: Simplify (sqrt 1) into 1 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.024 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.024 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.024 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.024 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.024 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.024 * [taylor]: Taking taylor expansion of re in re 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ 1 1) into 1 2.024 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.024 * [taylor]: Taking taylor expansion of re in re 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (/ 1 1) into 1 2.025 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.025 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.025 * [taylor]: Taking taylor expansion of im in re 2.025 * [backup-simplify]: Simplify im into im 2.025 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.025 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.025 * [taylor]: Taking taylor expansion of im in re 2.025 * [backup-simplify]: Simplify im into im 2.025 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.025 * [backup-simplify]: Simplify (* 1 1) into 1 2.026 * [backup-simplify]: Simplify (+ 1 0) into 1 2.026 * [backup-simplify]: Simplify (sqrt 1) into 1 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.028 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.029 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.029 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.029 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.029 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.029 * [taylor]: Taking taylor expansion of re in re 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.030 * [taylor]: Taking taylor expansion of re in re 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.030 * [taylor]: Taking taylor expansion of im in re 2.030 * [backup-simplify]: Simplify im into im 2.030 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.030 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.030 * [taylor]: Taking taylor expansion of im in re 2.030 * [backup-simplify]: Simplify im into im 2.030 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.031 * [backup-simplify]: Simplify (* 1 1) into 1 2.031 * [backup-simplify]: Simplify (+ 1 0) into 1 2.031 * [backup-simplify]: Simplify (sqrt 1) into 1 2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.033 * [backup-simplify]: Simplify (+ 0 0) into 0 2.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.034 * [taylor]: Taking taylor expansion of 1 in im 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [taylor]: Taking taylor expansion of 0 in im 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.037 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.037 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.038 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.038 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.038 * [taylor]: Taking taylor expansion of 1/2 in im 2.038 * [backup-simplify]: Simplify 1/2 into 1/2 2.038 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.038 * [taylor]: Taking taylor expansion of im in im 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (* 1 1) into 1 2.039 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.043 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.044 * [taylor]: Taking taylor expansion of 0 in im 2.044 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.046 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 2.046 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 2.046 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.046 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.047 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.047 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.047 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.047 * [taylor]: Taking taylor expansion of -1 in im 2.047 * [backup-simplify]: Simplify -1 into -1 2.047 * [taylor]: Taking taylor expansion of re in im 2.047 * [backup-simplify]: Simplify re into re 2.047 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.047 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.047 * [taylor]: Taking taylor expansion of -1 in im 2.047 * [backup-simplify]: Simplify -1 into -1 2.047 * [taylor]: Taking taylor expansion of re in im 2.047 * [backup-simplify]: Simplify re into re 2.047 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.047 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.047 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.047 * [taylor]: Taking taylor expansion of -1 in im 2.047 * [backup-simplify]: Simplify -1 into -1 2.047 * [taylor]: Taking taylor expansion of im in im 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (/ -1 1) into -1 2.048 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.048 * [taylor]: Taking taylor expansion of -1 in im 2.048 * [backup-simplify]: Simplify -1 into -1 2.048 * [taylor]: Taking taylor expansion of im in im 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [backup-simplify]: Simplify (/ -1 1) into -1 2.048 * [backup-simplify]: Simplify (* -1 -1) into 1 2.049 * [backup-simplify]: Simplify (+ 0 1) into 1 2.049 * [backup-simplify]: Simplify (sqrt 1) into 1 2.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.052 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.052 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.052 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.052 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.052 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.052 * [taylor]: Taking taylor expansion of -1 in re 2.052 * [backup-simplify]: Simplify -1 into -1 2.052 * [taylor]: Taking taylor expansion of re in re 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (/ -1 1) into -1 2.053 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.053 * [backup-simplify]: Simplify -1 into -1 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (/ -1 1) into -1 2.053 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.053 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.053 * [backup-simplify]: Simplify -1 into -1 2.053 * [taylor]: Taking taylor expansion of im in re 2.053 * [backup-simplify]: Simplify im into im 2.053 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.053 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.054 * [taylor]: Taking taylor expansion of -1 in re 2.054 * [backup-simplify]: Simplify -1 into -1 2.054 * [taylor]: Taking taylor expansion of im in re 2.054 * [backup-simplify]: Simplify im into im 2.054 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.054 * [backup-simplify]: Simplify (* -1 -1) into 1 2.054 * [backup-simplify]: Simplify (+ 1 0) into 1 2.055 * [backup-simplify]: Simplify (sqrt 1) into 1 2.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.057 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.057 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.058 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.058 * [taylor]: Taking taylor expansion of -1 in re 2.058 * [backup-simplify]: Simplify -1 into -1 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (/ -1 1) into -1 2.058 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.058 * [taylor]: Taking taylor expansion of -1 in re 2.058 * [backup-simplify]: Simplify -1 into -1 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (/ -1 1) into -1 2.058 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.058 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.058 * [taylor]: Taking taylor expansion of -1 in re 2.058 * [backup-simplify]: Simplify -1 into -1 2.058 * [taylor]: Taking taylor expansion of im in re 2.058 * [backup-simplify]: Simplify im into im 2.058 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.058 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.058 * [taylor]: Taking taylor expansion of -1 in re 2.058 * [backup-simplify]: Simplify -1 into -1 2.058 * [taylor]: Taking taylor expansion of im in re 2.058 * [backup-simplify]: Simplify im into im 2.058 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.059 * [backup-simplify]: Simplify (* -1 -1) into 1 2.059 * [backup-simplify]: Simplify (+ 1 0) into 1 2.059 * [backup-simplify]: Simplify (sqrt 1) into 1 2.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.069 * [taylor]: Taking taylor expansion of 1 in im 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [taylor]: Taking taylor expansion of 0 in im 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.072 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.072 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.073 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.073 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.073 * [taylor]: Taking taylor expansion of 1/2 in im 2.073 * [backup-simplify]: Simplify 1/2 into 1/2 2.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.073 * [taylor]: Taking taylor expansion of im in im 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (* 1 1) into 1 2.074 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.077 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.077 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.078 * [backup-simplify]: Simplify (+ 0 0) into 0 2.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.078 * [taylor]: Taking taylor expansion of 0 in im 2.078 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.079 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 2.079 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 2.079 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 2.079 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.080 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.080 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.080 * [taylor]: Taking taylor expansion of (* re re) in im 2.080 * [taylor]: Taking taylor expansion of re in im 2.080 * [backup-simplify]: Simplify re into re 2.080 * [taylor]: Taking taylor expansion of re in im 2.080 * [backup-simplify]: Simplify re into re 2.080 * [taylor]: Taking taylor expansion of (* im im) in im 2.080 * [taylor]: Taking taylor expansion of im in im 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [taylor]: Taking taylor expansion of im in im 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.080 * [backup-simplify]: Simplify (* 0 0) into 0 2.080 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.080 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.080 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.081 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.081 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.081 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.081 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.081 * [taylor]: Taking taylor expansion of (* re re) in re 2.081 * [taylor]: Taking taylor expansion of re in re 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [taylor]: Taking taylor expansion of re in re 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [taylor]: Taking taylor expansion of (* im im) in re 2.081 * [taylor]: Taking taylor expansion of im in re 2.081 * [backup-simplify]: Simplify im into im 2.081 * [taylor]: Taking taylor expansion of im in re 2.081 * [backup-simplify]: Simplify im into im 2.082 * [backup-simplify]: Simplify (* 0 0) into 0 2.082 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.082 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.082 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.082 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.082 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.083 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.083 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.083 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.083 * [taylor]: Taking taylor expansion of (* re re) in re 2.083 * [taylor]: Taking taylor expansion of re in re 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [taylor]: Taking taylor expansion of re in re 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [taylor]: Taking taylor expansion of (* im im) in re 2.083 * [taylor]: Taking taylor expansion of im in re 2.083 * [backup-simplify]: Simplify im into im 2.083 * [taylor]: Taking taylor expansion of im in re 2.083 * [backup-simplify]: Simplify im into im 2.083 * [backup-simplify]: Simplify (* 0 0) into 0 2.083 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.084 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.084 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.084 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.084 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.085 * [taylor]: Taking taylor expansion of im in im 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [taylor]: Taking taylor expansion of 0 in im 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.086 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.086 * [backup-simplify]: Simplify (+ 1 0) into 1 2.086 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.086 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.086 * [taylor]: Taking taylor expansion of 1/2 in im 2.086 * [backup-simplify]: Simplify 1/2 into 1/2 2.086 * [taylor]: Taking taylor expansion of im in im 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.088 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.089 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.089 * [taylor]: Taking taylor expansion of 0 in im 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.090 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 2.090 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 2.090 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.090 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.090 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.090 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.090 * [taylor]: Taking taylor expansion of re in im 2.090 * [backup-simplify]: Simplify re into re 2.090 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.090 * [taylor]: Taking taylor expansion of re in im 2.090 * [backup-simplify]: Simplify re into re 2.090 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.090 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.090 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.090 * [taylor]: Taking taylor expansion of im in im 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.090 * [taylor]: Taking taylor expansion of im in im 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (/ 1 1) into 1 2.091 * [backup-simplify]: Simplify (* 1 1) into 1 2.091 * [backup-simplify]: Simplify (+ 0 1) into 1 2.091 * [backup-simplify]: Simplify (sqrt 1) into 1 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.093 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.094 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.094 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.094 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.094 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.094 * [taylor]: Taking taylor expansion of re in re 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.094 * [taylor]: Taking taylor expansion of re in re 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (/ 1 1) into 1 2.095 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.095 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.095 * [taylor]: Taking taylor expansion of im in re 2.095 * [backup-simplify]: Simplify im into im 2.095 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.095 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.095 * [taylor]: Taking taylor expansion of im in re 2.095 * [backup-simplify]: Simplify im into im 2.095 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.095 * [backup-simplify]: Simplify (* 1 1) into 1 2.096 * [backup-simplify]: Simplify (+ 1 0) into 1 2.096 * [backup-simplify]: Simplify (sqrt 1) into 1 2.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.098 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.098 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.098 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.098 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.098 * [taylor]: Taking taylor expansion of re in re 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify (/ 1 1) into 1 2.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.098 * [taylor]: Taking taylor expansion of re in re 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify (/ 1 1) into 1 2.099 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.099 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.099 * [taylor]: Taking taylor expansion of im in re 2.099 * [backup-simplify]: Simplify im into im 2.099 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.099 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.099 * [taylor]: Taking taylor expansion of im in re 2.099 * [backup-simplify]: Simplify im into im 2.099 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.099 * [backup-simplify]: Simplify (* 1 1) into 1 2.099 * [backup-simplify]: Simplify (+ 1 0) into 1 2.099 * [backup-simplify]: Simplify (sqrt 1) into 1 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.101 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.101 * [taylor]: Taking taylor expansion of 1 in im 2.101 * [backup-simplify]: Simplify 1 into 1 2.102 * [taylor]: Taking taylor expansion of 0 in im 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.104 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.104 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.105 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.105 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.105 * [taylor]: Taking taylor expansion of 1/2 in im 2.105 * [backup-simplify]: Simplify 1/2 into 1/2 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 2.105 * [backup-simplify]: Simplify (* 1 1) into 1 2.106 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.109 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.109 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.111 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 2.111 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 2.111 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.111 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.111 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.111 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.111 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.111 * [taylor]: Taking taylor expansion of -1 in im 2.111 * [backup-simplify]: Simplify -1 into -1 2.111 * [taylor]: Taking taylor expansion of re in im 2.111 * [backup-simplify]: Simplify re into re 2.111 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.111 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.112 * [taylor]: Taking taylor expansion of -1 in im 2.112 * [backup-simplify]: Simplify -1 into -1 2.112 * [taylor]: Taking taylor expansion of re in im 2.112 * [backup-simplify]: Simplify re into re 2.112 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.112 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.112 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.112 * [taylor]: Taking taylor expansion of -1 in im 2.112 * [backup-simplify]: Simplify -1 into -1 2.112 * [taylor]: Taking taylor expansion of im in im 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (/ -1 1) into -1 2.112 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.112 * [taylor]: Taking taylor expansion of -1 in im 2.112 * [backup-simplify]: Simplify -1 into -1 2.112 * [taylor]: Taking taylor expansion of im in im 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (/ -1 1) into -1 2.113 * [backup-simplify]: Simplify (* -1 -1) into 1 2.113 * [backup-simplify]: Simplify (+ 0 1) into 1 2.113 * [backup-simplify]: Simplify (sqrt 1) into 1 2.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.115 * [backup-simplify]: Simplify (+ 0 0) into 0 2.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.115 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.115 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.115 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.115 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.115 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.115 * [taylor]: Taking taylor expansion of -1 in re 2.115 * [backup-simplify]: Simplify -1 into -1 2.115 * [taylor]: Taking taylor expansion of re in re 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (/ -1 1) into -1 2.116 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.116 * [taylor]: Taking taylor expansion of -1 in re 2.116 * [backup-simplify]: Simplify -1 into -1 2.116 * [taylor]: Taking taylor expansion of re in re 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.116 * [backup-simplify]: Simplify (/ -1 1) into -1 2.116 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.116 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.116 * [taylor]: Taking taylor expansion of -1 in re 2.116 * [backup-simplify]: Simplify -1 into -1 2.116 * [taylor]: Taking taylor expansion of im in re 2.116 * [backup-simplify]: Simplify im into im 2.116 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.116 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.116 * [taylor]: Taking taylor expansion of -1 in re 2.116 * [backup-simplify]: Simplify -1 into -1 2.116 * [taylor]: Taking taylor expansion of im in re 2.116 * [backup-simplify]: Simplify im into im 2.116 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.116 * [backup-simplify]: Simplify (* -1 -1) into 1 2.117 * [backup-simplify]: Simplify (+ 1 0) into 1 2.117 * [backup-simplify]: Simplify (sqrt 1) into 1 2.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.118 * [backup-simplify]: Simplify (+ 0 0) into 0 2.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.119 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.119 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.119 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.119 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.119 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.119 * [taylor]: Taking taylor expansion of -1 in re 2.119 * [backup-simplify]: Simplify -1 into -1 2.119 * [taylor]: Taking taylor expansion of re in re 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify (/ -1 1) into -1 2.119 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.119 * [taylor]: Taking taylor expansion of -1 in re 2.119 * [backup-simplify]: Simplify -1 into -1 2.119 * [taylor]: Taking taylor expansion of re in re 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (/ -1 1) into -1 2.120 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.120 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.120 * [taylor]: Taking taylor expansion of -1 in re 2.120 * [backup-simplify]: Simplify -1 into -1 2.120 * [taylor]: Taking taylor expansion of im in re 2.120 * [backup-simplify]: Simplify im into im 2.120 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.120 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.120 * [taylor]: Taking taylor expansion of -1 in re 2.120 * [backup-simplify]: Simplify -1 into -1 2.120 * [taylor]: Taking taylor expansion of im in re 2.120 * [backup-simplify]: Simplify im into im 2.120 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.120 * [backup-simplify]: Simplify (* -1 -1) into 1 2.120 * [backup-simplify]: Simplify (+ 1 0) into 1 2.121 * [backup-simplify]: Simplify (sqrt 1) into 1 2.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.122 * [backup-simplify]: Simplify (+ (* -1 0) (* 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 1 in im 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [taylor]: Taking taylor expansion of 0 in im 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.125 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.125 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.125 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.125 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.126 * [taylor]: Taking taylor expansion of 1/2 in im 2.126 * [backup-simplify]: Simplify 1/2 into 1/2 2.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.126 * [taylor]: Taking taylor expansion of im in im 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (* 1 1) into 1 2.126 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.129 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.129 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.129 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.130 * [taylor]: Taking taylor expansion of 0 in im 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.131 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 2.131 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 2.131 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 2.131 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.131 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.131 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.131 * [taylor]: Taking taylor expansion of (* re re) in im 2.131 * [taylor]: Taking taylor expansion of re in im 2.131 * [backup-simplify]: Simplify re into re 2.131 * [taylor]: Taking taylor expansion of re in im 2.131 * [backup-simplify]: Simplify re into re 2.131 * [taylor]: Taking taylor expansion of (* im im) in im 2.131 * [taylor]: Taking taylor expansion of im in im 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [taylor]: Taking taylor expansion of im in im 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.132 * [backup-simplify]: Simplify (* 0 0) into 0 2.132 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.132 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.132 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.132 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.132 * [backup-simplify]: Simplify (+ 0 0) into 0 2.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.132 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.133 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.133 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.133 * [taylor]: Taking taylor expansion of (* re re) in re 2.133 * [taylor]: Taking taylor expansion of re in re 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [taylor]: Taking taylor expansion of re in re 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [taylor]: Taking taylor expansion of (* im im) in re 2.133 * [taylor]: Taking taylor expansion of im in re 2.133 * [backup-simplify]: Simplify im into im 2.133 * [taylor]: Taking taylor expansion of im in re 2.133 * [backup-simplify]: Simplify im into im 2.133 * [backup-simplify]: Simplify (* 0 0) into 0 2.133 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.133 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.133 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.134 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.134 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.134 * [backup-simplify]: Simplify (+ 0 0) into 0 2.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.134 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.134 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.134 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.134 * [taylor]: Taking taylor expansion of (* re re) in re 2.134 * [taylor]: Taking taylor expansion of re in re 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of re in re 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of (* im im) in re 2.134 * [taylor]: Taking taylor expansion of im in re 2.134 * [backup-simplify]: Simplify im into im 2.134 * [taylor]: Taking taylor expansion of im in re 2.134 * [backup-simplify]: Simplify im into im 2.135 * [backup-simplify]: Simplify (* 0 0) into 0 2.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.135 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.135 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.135 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.135 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.136 * [taylor]: Taking taylor expansion of im in im 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [taylor]: Taking taylor expansion of 0 in im 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.137 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.137 * [backup-simplify]: Simplify (+ 1 0) into 1 2.137 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.137 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.137 * [taylor]: Taking taylor expansion of 1/2 in im 2.137 * [backup-simplify]: Simplify 1/2 into 1/2 2.137 * [taylor]: Taking taylor expansion of im in im 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.139 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.139 * [backup-simplify]: Simplify (+ 0 0) into 0 2.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.140 * [taylor]: Taking taylor expansion of 0 in im 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.140 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 2.140 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 2.140 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.141 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.141 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.141 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.141 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.141 * [taylor]: Taking taylor expansion of re in im 2.141 * [backup-simplify]: Simplify re into re 2.141 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.141 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.141 * [taylor]: Taking taylor expansion of re in im 2.141 * [backup-simplify]: Simplify re into re 2.141 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.141 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.141 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.141 * [taylor]: Taking taylor expansion of im in im 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (/ 1 1) into 1 2.141 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.141 * [taylor]: Taking taylor expansion of im in im 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (/ 1 1) into 1 2.142 * [backup-simplify]: Simplify (* 1 1) into 1 2.142 * [backup-simplify]: Simplify (+ 0 1) into 1 2.142 * [backup-simplify]: Simplify (sqrt 1) into 1 2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.143 * [backup-simplify]: Simplify (+ 0 0) into 0 2.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.144 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.144 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.144 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.144 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.144 * [taylor]: Taking taylor expansion of re in re 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 2.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.144 * [taylor]: Taking taylor expansion of re in re 2.144 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.145 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.145 * [taylor]: Taking taylor expansion of im in re 2.145 * [backup-simplify]: Simplify im into im 2.145 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.145 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.145 * [taylor]: Taking taylor expansion of im in re 2.145 * [backup-simplify]: Simplify im into im 2.145 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.145 * [backup-simplify]: Simplify (* 1 1) into 1 2.146 * [backup-simplify]: Simplify (+ 1 0) into 1 2.146 * [backup-simplify]: Simplify (sqrt 1) into 1 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.147 * [backup-simplify]: Simplify (+ 0 0) into 0 2.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.148 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.148 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.148 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.148 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.148 * [taylor]: Taking taylor expansion of re in re 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (/ 1 1) into 1 2.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.148 * [taylor]: Taking taylor expansion of re in re 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (/ 1 1) into 1 2.149 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.149 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.149 * [taylor]: Taking taylor expansion of im in re 2.149 * [backup-simplify]: Simplify im into im 2.149 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.149 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.149 * [taylor]: Taking taylor expansion of im in re 2.149 * [backup-simplify]: Simplify im into im 2.149 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.149 * [backup-simplify]: Simplify (* 1 1) into 1 2.149 * [backup-simplify]: Simplify (+ 1 0) into 1 2.149 * [backup-simplify]: Simplify (sqrt 1) into 1 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.151 * [taylor]: Taking taylor expansion of 1 in im 2.151 * [backup-simplify]: Simplify 1 into 1 2.151 * [taylor]: Taking taylor expansion of 0 in im 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 1 into 1 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.153 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.153 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.154 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.154 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.154 * [taylor]: Taking taylor expansion of 1/2 in im 2.154 * [backup-simplify]: Simplify 1/2 into 1/2 2.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.154 * [taylor]: Taking taylor expansion of im in im 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify (* 1 1) into 1 2.155 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.157 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.158 * [backup-simplify]: Simplify (+ 0 0) into 0 2.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.158 * [taylor]: Taking taylor expansion of 0 in im 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.159 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 2.159 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 2.159 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.159 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.159 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.159 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.159 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.159 * [taylor]: Taking taylor expansion of -1 in im 2.159 * [backup-simplify]: Simplify -1 into -1 2.159 * [taylor]: Taking taylor expansion of re in im 2.159 * [backup-simplify]: Simplify re into re 2.160 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.160 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.160 * [taylor]: Taking taylor expansion of -1 in im 2.160 * [backup-simplify]: Simplify -1 into -1 2.160 * [taylor]: Taking taylor expansion of re in im 2.160 * [backup-simplify]: Simplify re into re 2.160 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.160 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.160 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.160 * [taylor]: Taking taylor expansion of -1 in im 2.160 * [backup-simplify]: Simplify -1 into -1 2.160 * [taylor]: Taking taylor expansion of im in im 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [backup-simplify]: Simplify (/ -1 1) into -1 2.160 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.160 * [taylor]: Taking taylor expansion of -1 in im 2.160 * [backup-simplify]: Simplify -1 into -1 2.160 * [taylor]: Taking taylor expansion of im in im 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [backup-simplify]: Simplify (/ -1 1) into -1 2.166 * [backup-simplify]: Simplify (* -1 -1) into 1 2.166 * [backup-simplify]: Simplify (+ 0 1) into 1 2.167 * [backup-simplify]: Simplify (sqrt 1) into 1 2.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.168 * [backup-simplify]: Simplify (+ 0 0) into 0 2.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.168 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.169 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.169 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.169 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.169 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.169 * [taylor]: Taking taylor expansion of -1 in re 2.169 * [backup-simplify]: Simplify -1 into -1 2.169 * [taylor]: Taking taylor expansion of re in re 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (/ -1 1) into -1 2.169 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.169 * [taylor]: Taking taylor expansion of -1 in re 2.169 * [backup-simplify]: Simplify -1 into -1 2.169 * [taylor]: Taking taylor expansion of re in re 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (/ -1 1) into -1 2.169 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.169 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.169 * [taylor]: Taking taylor expansion of -1 in re 2.169 * [backup-simplify]: Simplify -1 into -1 2.169 * [taylor]: Taking taylor expansion of im in re 2.169 * [backup-simplify]: Simplify im into im 2.170 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.170 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.170 * [taylor]: Taking taylor expansion of -1 in re 2.170 * [backup-simplify]: Simplify -1 into -1 2.170 * [taylor]: Taking taylor expansion of im in re 2.170 * [backup-simplify]: Simplify im into im 2.170 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.170 * [backup-simplify]: Simplify (* -1 -1) into 1 2.170 * [backup-simplify]: Simplify (+ 1 0) into 1 2.170 * [backup-simplify]: Simplify (sqrt 1) into 1 2.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.172 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.172 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.172 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.172 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.172 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.172 * [taylor]: Taking taylor expansion of -1 in re 2.173 * [backup-simplify]: Simplify -1 into -1 2.173 * [taylor]: Taking taylor expansion of re in re 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (/ -1 1) into -1 2.173 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.173 * [taylor]: Taking taylor expansion of -1 in re 2.173 * [backup-simplify]: Simplify -1 into -1 2.173 * [taylor]: Taking taylor expansion of re in re 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (/ -1 1) into -1 2.173 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.173 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.173 * [taylor]: Taking taylor expansion of -1 in re 2.173 * [backup-simplify]: Simplify -1 into -1 2.173 * [taylor]: Taking taylor expansion of im in re 2.173 * [backup-simplify]: Simplify im into im 2.173 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.173 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.173 * [taylor]: Taking taylor expansion of -1 in re 2.173 * [backup-simplify]: Simplify -1 into -1 2.173 * [taylor]: Taking taylor expansion of im in re 2.173 * [backup-simplify]: Simplify im into im 2.173 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.174 * [backup-simplify]: Simplify (* -1 -1) into 1 2.174 * [backup-simplify]: Simplify (+ 1 0) into 1 2.174 * [backup-simplify]: Simplify (sqrt 1) into 1 2.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.176 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.176 * [taylor]: Taking taylor expansion of 1 in im 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [taylor]: Taking taylor expansion of 0 in im 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.178 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.178 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.179 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.179 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.179 * [taylor]: Taking taylor expansion of 1/2 in im 2.179 * [backup-simplify]: Simplify 1/2 into 1/2 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 * [backup-simplify]: Simplify (* 1 1) into 1 2.179 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.182 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.182 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.182 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.183 * [taylor]: Taking taylor expansion of 0 in im 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 2.184 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.184 * * * [progress]: simplifying candidates 2.185 * [simplify]: Simplifying: (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (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)) (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) im re (* -1 re) im re (* -1 re) 2.186 * * [simplify]: Extracting # 0 : cost 0 2.186 * * [simplify]: Extracting # 1 : cost 0 2.187 * * [simplify]: Extracting # 2 : cost 0 2.187 * * [simplify]: Extracting # 3 : cost 0 2.187 * * [simplify]: Extracting # 4 : cost 0 2.187 * * [simplify]: iteration 0 : 63 enodes (cost 742 ) 2.204 * * [simplify]: Extracting # 0 : cost 0 2.204 * * [simplify]: Extracting # 1 : cost 0 2.204 * * [simplify]: Extracting # 2 : cost 0 2.204 * * [simplify]: iteration 1 : 98 enodes (cost 435 ) 2.221 * * [simplify]: Extracting # 0 : cost 0 2.221 * * [simplify]: Extracting # 1 : cost 0 2.221 * * [simplify]: Extracting # 2 : cost 0 2.221 * * [simplify]: Extracting # 3 : cost 0 2.221 * * [simplify]: Extracting # 4 : cost 0 2.222 * * [simplify]: iteration 2 : 212 enodes (cost 389 ) 2.301 * * [simplify]: Extracting # 0 : cost 0 2.301 * * [simplify]: Extracting # 1 : cost 0 2.301 * * [simplify]: Extracting # 2 : cost 0 2.302 * * [simplify]: Extracting # 3 : cost 0 2.302 * * [simplify]: Extracting # 4 : cost 0 2.302 * * [simplify]: iteration 3 : 404 enodes (cost 374 ) 2.564 * * [simplify]: Extracting # 0 : cost 0 2.565 * * [simplify]: Extracting # 1 : cost 0 2.567 * * [simplify]: Extracting # 2 : cost 0 2.568 * * [simplify]: Extracting # 3 : cost 0 2.569 * * [simplify]: Extracting # 4 : cost 0 2.570 * * [simplify]: iteration 4 : 846 enodes (cost 360 ) 5.233 * * [simplify]: Extracting # 0 : cost 0 5.241 * * [simplify]: Extracting # 1 : cost 0 5.248 * * [simplify]: Extracting # 2 : cost 0 5.254 * * [simplify]: Extracting # 3 : cost 0 5.260 * * [simplify]: Extracting # 4 : cost 0 5.274 * * [simplify]: iteration 5 : 4772 enodes (cost 356 ) 7.894 * * [simplify]: Extracting # 0 : cost 0 7.899 * * [simplify]: Extracting # 1 : cost 0 7.903 * * [simplify]: Extracting # 2 : cost 0 7.907 * * [simplify]: Extracting # 3 : cost 0 7.911 * * [simplify]: Extracting # 4 : cost 0 7.915 * * [simplify]: Extracting # 5 : cost 0 7.918 * * [simplify]: iteration done: 5000 enodes (cost 356 ) 7.919 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (pow (sqrt (hypot re im)) 4) (hypot re im) (pow (sqrt (hypot re im)) 4) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (pow (hypot re im) 3) (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)) (pow (hypot re im) 3) (pow (sqrt (hypot re im)) 4) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (pow (cbrt (sqrt (hypot re im))) 2) (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (pow (cbrt (sqrt (hypot re im))) 5) (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (- re) im re (- re) im re (- re) 7.919 * * * [progress]: adding candidates to table 8.124 * [progress]: [Phase 3 of 3] Extracting. 8.124 * * [regime]: Finding splitpoints for: (# #) 8.125 * * * [regime-changes]: Trying 2 branch expressions: (im re) 8.125 * * * * [regimes]: Trying to branch on im from (# #) 8.136 * * * * [regimes]: Trying to branch on re from (# #) 8.147 * * * [regime]: Found split indices: #