5.382 * [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]: Sending expressions to egg_math: (sqrt (+ (* h0 h0) (* h1 h1))) 0.017 * * [simplify]: iteration 0 : 9 enodes (cost 1 ) 0.019 * * [simplify]: iteration 1 : 11 enodes (cost 1 ) 0.020 * * [simplify]: iteration 2 : 11 enodes (cost 1 ) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.028 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.028 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.028 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.028 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.028 * [taylor]: Taking taylor expansion of (* re re) in im 0.028 * [taylor]: Taking taylor expansion of re in im 0.028 * [backup-simplify]: Simplify re into re 0.028 * [taylor]: Taking taylor expansion of re in im 0.028 * [backup-simplify]: Simplify re into re 0.028 * [taylor]: Taking taylor expansion of (* im im) in im 0.028 * [taylor]: Taking taylor expansion of im in im 0.029 * [backup-simplify]: Simplify 0 into 0 0.029 * [backup-simplify]: Simplify 1 into 1 0.029 * [taylor]: Taking taylor expansion of im in im 0.029 * [backup-simplify]: Simplify 0 into 0 0.029 * [backup-simplify]: Simplify 1 into 1 0.029 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.029 * [backup-simplify]: Simplify (* 0 0) into 0 0.029 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.029 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.029 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.030 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.030 * [backup-simplify]: Simplify (+ 0 0) into 0 0.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.030 * [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 0.031 * [backup-simplify]: Simplify (* 0 0) into 0 0.031 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.031 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.031 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.031 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.031 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.032 * [backup-simplify]: Simplify (+ 0 0) into 0 0.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.032 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.032 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.032 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.032 * [taylor]: Taking taylor expansion of (* re re) in re 0.032 * [taylor]: Taking taylor expansion of re in re 0.032 * [backup-simplify]: Simplify 0 into 0 0.032 * [backup-simplify]: Simplify 1 into 1 0.032 * [taylor]: Taking taylor expansion of re in re 0.032 * [backup-simplify]: Simplify 0 into 0 0.032 * [backup-simplify]: Simplify 1 into 1 0.032 * [taylor]: Taking taylor expansion of (* im im) in re 0.032 * [taylor]: Taking taylor expansion of im in re 0.032 * [backup-simplify]: Simplify im into im 0.032 * [taylor]: Taking taylor expansion of im in re 0.032 * [backup-simplify]: Simplify im into im 0.032 * [backup-simplify]: Simplify (* 0 0) into 0 0.032 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.032 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.032 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.033 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.033 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.033 * [backup-simplify]: Simplify (+ 0 0) into 0 0.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.033 * [taylor]: Taking taylor expansion of im in im 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [taylor]: Taking taylor expansion of 0 in im 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.034 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.034 * [backup-simplify]: Simplify (+ 1 0) into 1 0.035 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.035 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.035 * [taylor]: Taking taylor expansion of 1/2 in im 0.035 * [backup-simplify]: Simplify 1/2 into 1/2 0.035 * [taylor]: Taking taylor expansion of im in im 0.035 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify 1 into 1 0.035 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.037 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.037 * [backup-simplify]: Simplify (+ 0 0) into 0 0.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) 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 0.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.038 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.038 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.038 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.038 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.038 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.038 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.038 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.038 * [taylor]: Taking taylor expansion of re in im 0.038 * [backup-simplify]: Simplify re into re 0.038 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.038 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.038 * [taylor]: Taking taylor expansion of re in im 0.038 * [backup-simplify]: Simplify re into re 0.038 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.038 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.038 * [taylor]: Taking taylor expansion of (/ 1 im) in im 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 1) into 1 0.039 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.039 * [taylor]: Taking taylor expansion of im in im 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (/ 1 1) into 1 0.039 * [backup-simplify]: Simplify (* 1 1) into 1 0.039 * [backup-simplify]: Simplify (+ 0 1) into 1 0.040 * [backup-simplify]: Simplify (sqrt 1) into 1 0.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.041 * [backup-simplify]: Simplify (+ 0 0) into 0 0.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.041 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.042 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.042 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.042 * [taylor]: Taking taylor expansion of re in re 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 re) in re 0.042 * [taylor]: Taking taylor expansion of re in re 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) (/ 1 im)) in re 0.042 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.042 * [taylor]: Taking taylor expansion of im in re 0.042 * [backup-simplify]: Simplify im into im 0.042 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.042 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.042 * [taylor]: Taking taylor expansion of im in re 0.042 * [backup-simplify]: Simplify im into im 0.042 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.043 * [backup-simplify]: Simplify (* 1 1) into 1 0.043 * [backup-simplify]: Simplify (+ 1 0) into 1 0.043 * [backup-simplify]: Simplify (sqrt 1) into 1 0.043 * [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 0.044 * [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 0.045 * [backup-simplify]: Simplify (/ 1 1) into 1 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 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 0.046 * [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 0.047 * [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 0.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.048 * [taylor]: Taking taylor expansion of 1 in im 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of 0 in im 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.050 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.050 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.051 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.051 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.051 * [taylor]: Taking taylor expansion of 1/2 in im 0.051 * [backup-simplify]: Simplify 1/2 into 1/2 0.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.051 * [taylor]: Taking taylor expansion of im in im 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* 1 1) into 1 0.052 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.054 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.055 * [taylor]: Taking taylor expansion of 0 in im 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 0.056 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.056 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.056 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.056 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.056 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.056 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.056 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.056 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.056 * [taylor]: Taking taylor expansion of -1 in im 0.056 * [backup-simplify]: Simplify -1 into -1 0.056 * [taylor]: Taking taylor expansion of re in im 0.057 * [backup-simplify]: Simplify re into re 0.057 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.057 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.057 * [taylor]: Taking taylor expansion of -1 in im 0.057 * [backup-simplify]: Simplify -1 into -1 0.057 * [taylor]: Taking taylor expansion of re in im 0.057 * [backup-simplify]: Simplify re into re 0.057 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.057 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.057 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.057 * [taylor]: Taking taylor expansion of -1 in im 0.057 * [backup-simplify]: Simplify -1 into -1 0.057 * [taylor]: Taking taylor expansion of im in im 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ -1 1) into -1 0.057 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.057 * [taylor]: Taking taylor expansion of -1 in im 0.057 * [backup-simplify]: Simplify -1 into -1 0.057 * [taylor]: Taking taylor expansion of im in im 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ -1 1) into -1 0.058 * [backup-simplify]: Simplify (* -1 -1) into 1 0.058 * [backup-simplify]: Simplify (+ 0 1) into 1 0.058 * [backup-simplify]: Simplify (sqrt 1) into 1 0.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.060 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 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 re 0.060 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.060 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.060 * [taylor]: Taking taylor expansion of -1 in re 0.060 * [backup-simplify]: Simplify -1 into -1 0.060 * [taylor]: Taking taylor expansion of re in re 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (/ -1 1) into -1 0.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.061 * [taylor]: Taking taylor expansion of -1 in re 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of re in re 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) (/ -1 im)) in re 0.061 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.061 * [taylor]: Taking taylor expansion of -1 in re 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of im in re 0.061 * [backup-simplify]: Simplify im into im 0.061 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.061 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.061 * [taylor]: Taking taylor expansion of -1 in re 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of im in re 0.061 * [backup-simplify]: Simplify im into im 0.061 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.061 * [backup-simplify]: Simplify (* -1 -1) into 1 0.062 * [backup-simplify]: Simplify (+ 1 0) 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 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.064 * [taylor]: Taking taylor expansion of (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 0.064 * [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 0.065 * [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 0.065 * [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 1 in im 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [taylor]: Taking taylor expansion of 0 in im 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.069 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.070 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.070 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.070 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.070 * [taylor]: Taking taylor expansion of 1/2 in im 0.070 * [backup-simplify]: Simplify 1/2 into 1/2 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.071 * [taylor]: Taking taylor expansion of im in im 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.074 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.074 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.074 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.076 * * * [progress]: simplifying candidates 0.076 * [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) 0.076 * [simplify]: Sending expressions to egg_math: (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) h1 h0 (* -1 h0) 0.079 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.080 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.082 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.083 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.085 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.086 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.091 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.106 * * [simplify]: iteration 7 : 1687 enodes (cost 24 ) 0.172 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.173 * * * [progress]: adding candidates to table 0.200 * * [progress]: iteration 2 / 4 0.200 * * * [progress]: picking best candidate 0.201 * * * * [pick]: Picked # 0.201 * * * [progress]: localizing error 0.206 * * * [progress]: generating rewritten candidates 0.206 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.219 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.219 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.219 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.223 * * * [progress]: generating series expansions 0.223 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.223 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 0.223 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.223 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.223 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.223 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.223 * [taylor]: Taking taylor expansion of (* re re) in im 0.223 * [taylor]: Taking taylor expansion of re in im 0.224 * [backup-simplify]: Simplify re into re 0.224 * [taylor]: Taking taylor expansion of re in im 0.224 * [backup-simplify]: Simplify re into re 0.224 * [taylor]: Taking taylor expansion of (* im im) in im 0.224 * [taylor]: Taking taylor expansion of im in im 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of im in im 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.224 * [backup-simplify]: Simplify (* 0 0) into 0 0.224 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.224 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.224 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.225 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.225 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.225 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.225 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.225 * [taylor]: Taking taylor expansion of (* re re) in re 0.225 * [taylor]: Taking taylor expansion of re in re 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of re in re 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of (* im im) in re 0.225 * [taylor]: Taking taylor expansion of im in re 0.225 * [backup-simplify]: Simplify im into im 0.225 * [taylor]: Taking taylor expansion of im in re 0.225 * [backup-simplify]: Simplify im into im 0.226 * [backup-simplify]: Simplify (* 0 0) into 0 0.226 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.226 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.226 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.226 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.226 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.227 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.227 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.227 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.227 * [taylor]: Taking taylor expansion of (* re re) in re 0.227 * [taylor]: Taking taylor expansion of re in re 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of re in re 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (* im im) in re 0.227 * [taylor]: Taking taylor expansion of im in re 0.227 * [backup-simplify]: Simplify im into im 0.227 * [taylor]: Taking taylor expansion of im in re 0.227 * [backup-simplify]: Simplify im into im 0.227 * [backup-simplify]: Simplify (* 0 0) into 0 0.227 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.227 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.227 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.228 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.228 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.228 * [taylor]: Taking taylor expansion of im in im 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [taylor]: Taking taylor expansion of 0 in im 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.229 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.230 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.230 * [taylor]: Taking taylor expansion of 1/2 in im 0.230 * [backup-simplify]: Simplify 1/2 into 1/2 0.230 * [taylor]: Taking taylor expansion of im in im 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.232 * [taylor]: Taking taylor expansion of 0 in im 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.233 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 0.233 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.233 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.233 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.233 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.233 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.233 * [taylor]: Taking taylor expansion of re in im 0.233 * [backup-simplify]: Simplify re into re 0.233 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.233 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.233 * [taylor]: Taking taylor expansion of re in im 0.233 * [backup-simplify]: Simplify re into re 0.233 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.233 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.233 * [taylor]: Taking taylor expansion of im in im 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.234 * [taylor]: Taking taylor expansion of im in im 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (+ 0 1) into 1 0.235 * [backup-simplify]: Simplify (sqrt 1) into 1 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.236 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.236 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.236 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.236 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.236 * [taylor]: Taking taylor expansion of re in re 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [backup-simplify]: Simplify im into im 0.237 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.237 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [backup-simplify]: Simplify im into im 0.237 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.238 * [backup-simplify]: Simplify (sqrt 1) into 1 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.240 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.240 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.240 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.240 * [taylor]: Taking taylor expansion of re in re 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.240 * [taylor]: Taking taylor expansion of re in re 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.240 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.240 * [taylor]: Taking taylor expansion of im in re 0.240 * [backup-simplify]: Simplify im into im 0.241 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.241 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.241 * [taylor]: Taking taylor expansion of im in re 0.241 * [backup-simplify]: Simplify im into im 0.241 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.241 * [backup-simplify]: Simplify (* 1 1) into 1 0.241 * [backup-simplify]: Simplify (+ 1 0) into 1 0.241 * [backup-simplify]: Simplify (sqrt 1) into 1 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.243 * [taylor]: Taking taylor expansion of 1 in im 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of 0 in im 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.245 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.245 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.246 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.246 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.246 * [taylor]: Taking taylor expansion of 1/2 in im 0.246 * [backup-simplify]: Simplify 1/2 into 1/2 0.246 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.246 * [taylor]: Taking taylor expansion of im in im 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.252 * [taylor]: Taking taylor expansion of 0 in im 0.252 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.254 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 0.254 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.254 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.254 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.254 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.254 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.254 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.254 * [taylor]: Taking taylor expansion of -1 in im 0.254 * [backup-simplify]: Simplify -1 into -1 0.254 * [taylor]: Taking taylor expansion of re in im 0.254 * [backup-simplify]: Simplify re into re 0.254 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.254 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.254 * [taylor]: Taking taylor expansion of -1 in im 0.254 * [backup-simplify]: Simplify -1 into -1 0.254 * [taylor]: Taking taylor expansion of re in im 0.254 * [backup-simplify]: Simplify re into re 0.254 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.254 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.254 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.254 * [taylor]: Taking taylor expansion of -1 in im 0.254 * [backup-simplify]: Simplify -1 into -1 0.254 * [taylor]: Taking taylor expansion of im in im 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ -1 1) into -1 0.255 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.255 * [taylor]: Taking taylor expansion of -1 in im 0.255 * [backup-simplify]: Simplify -1 into -1 0.255 * [taylor]: Taking taylor expansion of im in im 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ -1 1) into -1 0.255 * [backup-simplify]: Simplify (* -1 -1) into 1 0.255 * [backup-simplify]: Simplify (+ 0 1) into 1 0.256 * [backup-simplify]: Simplify (sqrt 1) into 1 0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.258 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.258 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.258 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.258 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.258 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.258 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [taylor]: Taking taylor expansion of re in re 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ -1 1) into -1 0.258 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.258 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [taylor]: Taking taylor expansion of re in re 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ -1 1) into -1 0.258 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.258 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.258 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [taylor]: Taking taylor expansion of im in re 0.258 * [backup-simplify]: Simplify im into im 0.259 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.259 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.259 * [taylor]: Taking taylor expansion of -1 in re 0.259 * [backup-simplify]: Simplify -1 into -1 0.259 * [taylor]: Taking taylor expansion of im in re 0.259 * [backup-simplify]: Simplify im into im 0.259 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.259 * [backup-simplify]: Simplify (* -1 -1) into 1 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (sqrt 1) into 1 0.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.261 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.261 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.261 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.261 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.261 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.261 * [taylor]: Taking taylor expansion of -1 in re 0.261 * [backup-simplify]: Simplify -1 into -1 0.261 * [taylor]: Taking taylor expansion of re in re 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ -1 1) into -1 0.262 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.262 * [taylor]: Taking taylor expansion of -1 in re 0.262 * [backup-simplify]: Simplify -1 into -1 0.262 * [taylor]: Taking taylor expansion of re in re 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ -1 1) into -1 0.262 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.262 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.262 * [taylor]: Taking taylor expansion of -1 in re 0.262 * [backup-simplify]: Simplify -1 into -1 0.262 * [taylor]: Taking taylor expansion of im in re 0.262 * [backup-simplify]: Simplify im into im 0.262 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.262 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.262 * [taylor]: Taking taylor expansion of -1 in re 0.262 * [backup-simplify]: Simplify -1 into -1 0.262 * [taylor]: Taking taylor expansion of im in re 0.262 * [backup-simplify]: Simplify im into im 0.262 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.262 * [backup-simplify]: Simplify (* -1 -1) into 1 0.263 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (sqrt 1) into 1 0.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.265 * [taylor]: Taking taylor expansion of 1 in im 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of 0 in im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.267 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.267 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.267 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.267 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.267 * [taylor]: Taking taylor expansion of 1/2 in im 0.267 * [backup-simplify]: Simplify 1/2 into 1/2 0.267 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.268 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.271 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.271 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.271 * [taylor]: Taking taylor expansion of 0 in im 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.273 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.273 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.273 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.273 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.273 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.273 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.273 * [taylor]: Taking taylor expansion of (* re re) in im 0.273 * [taylor]: Taking taylor expansion of re in im 0.273 * [backup-simplify]: Simplify re into re 0.273 * [taylor]: Taking taylor expansion of re in im 0.273 * [backup-simplify]: Simplify re into re 0.273 * [taylor]: Taking taylor expansion of (* im im) in im 0.273 * [taylor]: Taking taylor expansion of im in im 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [taylor]: Taking taylor expansion of im in im 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.274 * [backup-simplify]: Simplify (* 0 0) into 0 0.274 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.274 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.274 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.274 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.275 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.275 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.275 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.275 * [taylor]: Taking taylor expansion of (* re re) in re 0.275 * [taylor]: Taking taylor expansion of re in re 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of re in re 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of (* im im) in re 0.275 * [taylor]: Taking taylor expansion of im in re 0.275 * [backup-simplify]: Simplify im into im 0.275 * [taylor]: Taking taylor expansion of im in re 0.275 * [backup-simplify]: Simplify im into im 0.276 * [backup-simplify]: Simplify (* 0 0) into 0 0.276 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.276 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.276 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.276 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.276 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.277 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.277 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.277 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.277 * [taylor]: Taking taylor expansion of (* re re) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of re in re 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of (* im im) in re 0.277 * [taylor]: Taking taylor expansion of im in re 0.277 * [backup-simplify]: Simplify im into im 0.277 * [taylor]: Taking taylor expansion of im in re 0.277 * [backup-simplify]: Simplify im into im 0.277 * [backup-simplify]: Simplify (* 0 0) into 0 0.277 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.277 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.278 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.278 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.278 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.278 * [taylor]: Taking taylor expansion of im in im 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [taylor]: Taking taylor expansion of 0 in im 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.279 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.279 * [backup-simplify]: Simplify (+ 1 0) into 1 0.280 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.280 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.280 * [taylor]: Taking taylor expansion of 1/2 in im 0.280 * [backup-simplify]: Simplify 1/2 into 1/2 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.282 * [taylor]: Taking taylor expansion of 0 in im 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.283 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.283 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.283 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.283 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.283 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.283 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.283 * [taylor]: Taking taylor expansion of re in im 0.283 * [backup-simplify]: Simplify re into re 0.283 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.283 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.283 * [taylor]: Taking taylor expansion of re in im 0.283 * [backup-simplify]: Simplify re into re 0.283 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.283 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.283 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (+ 0 1) into 1 0.285 * [backup-simplify]: Simplify (sqrt 1) into 1 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.287 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.287 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.287 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.287 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.287 * [taylor]: Taking taylor expansion of re in re 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.287 * [taylor]: Taking taylor expansion of re in re 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.287 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.287 * [taylor]: Taking taylor expansion of im in re 0.287 * [backup-simplify]: Simplify im into im 0.287 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.288 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.288 * [taylor]: Taking taylor expansion of im in re 0.288 * [backup-simplify]: Simplify im into im 0.288 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (+ 1 0) into 1 0.288 * [backup-simplify]: Simplify (sqrt 1) into 1 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.290 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.290 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.290 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.290 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.291 * [taylor]: Taking taylor expansion of re in re 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.291 * [taylor]: Taking taylor expansion of im in re 0.291 * [backup-simplify]: Simplify im into im 0.291 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.291 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.291 * [taylor]: Taking taylor expansion of im in re 0.291 * [backup-simplify]: Simplify im into im 0.291 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [backup-simplify]: Simplify (sqrt 1) into 1 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.293 * [taylor]: Taking taylor expansion of 1 in im 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of 0 in im 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.295 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.295 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.296 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.296 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.296 * [taylor]: Taking taylor expansion of 1/2 in im 0.296 * [backup-simplify]: Simplify 1/2 into 1/2 0.296 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.296 * [taylor]: Taking taylor expansion of im in im 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.300 * [taylor]: Taking taylor expansion of 0 in im 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.301 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.301 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.301 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.301 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.301 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.301 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.301 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.301 * [taylor]: Taking taylor expansion of -1 in im 0.301 * [backup-simplify]: Simplify -1 into -1 0.301 * [taylor]: Taking taylor expansion of re in im 0.301 * [backup-simplify]: Simplify re into re 0.301 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.301 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.301 * [taylor]: Taking taylor expansion of -1 in im 0.301 * [backup-simplify]: Simplify -1 into -1 0.302 * [taylor]: Taking taylor expansion of re in im 0.302 * [backup-simplify]: Simplify re into re 0.302 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.302 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.302 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.302 * [taylor]: Taking taylor expansion of -1 in im 0.302 * [backup-simplify]: Simplify -1 into -1 0.302 * [taylor]: Taking taylor expansion of im in im 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ -1 1) into -1 0.302 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.302 * [taylor]: Taking taylor expansion of -1 in im 0.302 * [backup-simplify]: Simplify -1 into -1 0.302 * [taylor]: Taking taylor expansion of im in im 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ -1 1) into -1 0.302 * [backup-simplify]: Simplify (* -1 -1) into 1 0.303 * [backup-simplify]: Simplify (+ 0 1) into 1 0.303 * [backup-simplify]: Simplify (sqrt 1) into 1 0.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.305 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.305 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.305 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.305 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.305 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.305 * [taylor]: Taking taylor expansion of -1 in re 0.305 * [backup-simplify]: Simplify -1 into -1 0.305 * [taylor]: Taking taylor expansion of re in re 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ -1 1) into -1 0.305 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.305 * [taylor]: Taking taylor expansion of -1 in re 0.305 * [backup-simplify]: Simplify -1 into -1 0.305 * [taylor]: Taking taylor expansion of re in re 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ -1 1) into -1 0.306 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.306 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.306 * [taylor]: Taking taylor expansion of -1 in re 0.306 * [backup-simplify]: Simplify -1 into -1 0.306 * [taylor]: Taking taylor expansion of im in re 0.306 * [backup-simplify]: Simplify im into im 0.306 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.306 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.306 * [taylor]: Taking taylor expansion of -1 in re 0.306 * [backup-simplify]: Simplify -1 into -1 0.306 * [taylor]: Taking taylor expansion of im in re 0.306 * [backup-simplify]: Simplify im into im 0.306 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.306 * [backup-simplify]: Simplify (* -1 -1) into 1 0.306 * [backup-simplify]: Simplify (+ 1 0) into 1 0.307 * [backup-simplify]: Simplify (sqrt 1) into 1 0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.309 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.309 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.309 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.309 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.309 * [taylor]: Taking taylor expansion of -1 in re 0.309 * [backup-simplify]: Simplify -1 into -1 0.309 * [taylor]: Taking taylor expansion of re in re 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ -1 1) into -1 0.309 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.309 * [taylor]: Taking taylor expansion of -1 in re 0.309 * [backup-simplify]: Simplify -1 into -1 0.309 * [taylor]: Taking taylor expansion of re in re 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ -1 1) into -1 0.309 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.309 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.309 * [taylor]: Taking taylor expansion of -1 in re 0.310 * [backup-simplify]: Simplify -1 into -1 0.310 * [taylor]: Taking taylor expansion of im in re 0.310 * [backup-simplify]: Simplify im into im 0.310 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.310 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.310 * [taylor]: Taking taylor expansion of -1 in re 0.310 * [backup-simplify]: Simplify -1 into -1 0.310 * [taylor]: Taking taylor expansion of im in re 0.310 * [backup-simplify]: Simplify im into im 0.310 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.310 * [backup-simplify]: Simplify (* -1 -1) into 1 0.310 * [backup-simplify]: Simplify (+ 1 0) into 1 0.310 * [backup-simplify]: Simplify (sqrt 1) into 1 0.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.312 * [taylor]: Taking taylor expansion of 1 in im 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of 0 in im 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.314 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.314 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.315 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.315 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.315 * [taylor]: Taking taylor expansion of 1/2 in im 0.315 * [backup-simplify]: Simplify 1/2 into 1/2 0.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.315 * [taylor]: Taking taylor expansion of im in im 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.319 * [taylor]: Taking taylor expansion of 0 in im 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.320 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.320 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.320 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.320 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.320 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.320 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.320 * [taylor]: Taking taylor expansion of (* re re) in im 0.320 * [taylor]: Taking taylor expansion of re in im 0.320 * [backup-simplify]: Simplify re into re 0.320 * [taylor]: Taking taylor expansion of re in im 0.320 * [backup-simplify]: Simplify re into re 0.320 * [taylor]: Taking taylor expansion of (* im im) in im 0.320 * [taylor]: Taking taylor expansion of im in im 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [taylor]: Taking taylor expansion of im in im 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.321 * [backup-simplify]: Simplify (* 0 0) into 0 0.321 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.321 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.321 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.321 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.322 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.322 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.322 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.322 * [taylor]: Taking taylor expansion of (* re re) in re 0.322 * [taylor]: Taking taylor expansion of re in re 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of re in re 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (* im im) in re 0.322 * [taylor]: Taking taylor expansion of im in re 0.322 * [backup-simplify]: Simplify im into im 0.322 * [taylor]: Taking taylor expansion of im in re 0.322 * [backup-simplify]: Simplify im into im 0.322 * [backup-simplify]: Simplify (* 0 0) into 0 0.322 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.322 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.323 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.323 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.324 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.324 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.324 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.324 * [taylor]: Taking taylor expansion of (* re re) in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of re in re 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (* im im) in re 0.324 * [taylor]: Taking taylor expansion of im in re 0.324 * [backup-simplify]: Simplify im into im 0.324 * [taylor]: Taking taylor expansion of im in re 0.324 * [backup-simplify]: Simplify im into im 0.324 * [backup-simplify]: Simplify (* 0 0) into 0 0.324 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.324 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.324 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.325 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.325 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.325 * [taylor]: Taking taylor expansion of im in im 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [taylor]: Taking taylor expansion of 0 in im 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.326 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.327 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.327 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.327 * [taylor]: Taking taylor expansion of 1/2 in im 0.327 * [backup-simplify]: Simplify 1/2 into 1/2 0.327 * [taylor]: Taking taylor expansion of im in im 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.329 * [taylor]: Taking taylor expansion of 0 in im 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.330 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.330 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.330 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.330 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.330 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.330 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.330 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.330 * [taylor]: Taking taylor expansion of re in im 0.330 * [backup-simplify]: Simplify re into re 0.330 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.330 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.330 * [taylor]: Taking taylor expansion of re in im 0.330 * [backup-simplify]: Simplify re into re 0.330 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.330 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.330 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.330 * [taylor]: Taking taylor expansion of im in im 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.330 * [taylor]: Taking taylor expansion of im in im 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (* 1 1) into 1 0.331 * [backup-simplify]: Simplify (+ 0 1) into 1 0.331 * [backup-simplify]: Simplify (sqrt 1) into 1 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.333 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.333 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.333 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.333 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.334 * [taylor]: Taking taylor expansion of re in re 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.334 * [taylor]: Taking taylor expansion of re in re 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.334 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.334 * [taylor]: Taking taylor expansion of im in re 0.334 * [backup-simplify]: Simplify im into im 0.334 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.334 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.334 * [taylor]: Taking taylor expansion of im in re 0.334 * [backup-simplify]: Simplify im into im 0.334 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (sqrt 1) into 1 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.337 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.337 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.337 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.337 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.338 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.338 * [taylor]: Taking taylor expansion of im in re 0.338 * [backup-simplify]: Simplify im into im 0.338 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.338 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.338 * [taylor]: Taking taylor expansion of im in re 0.338 * [backup-simplify]: Simplify im into im 0.338 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (+ 1 0) into 1 0.339 * [backup-simplify]: Simplify (sqrt 1) into 1 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.340 * [taylor]: Taking taylor expansion of 1 in im 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of 0 in im 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.342 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.343 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.343 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.343 * [taylor]: Taking taylor expansion of 1/2 in im 0.343 * [backup-simplify]: Simplify 1/2 into 1/2 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.343 * [taylor]: Taking taylor expansion of im in im 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.351 * [taylor]: Taking taylor expansion of 0 in im 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.352 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.352 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.352 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.352 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.352 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.352 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.352 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.352 * [taylor]: Taking taylor expansion of -1 in im 0.352 * [backup-simplify]: Simplify -1 into -1 0.352 * [taylor]: Taking taylor expansion of re in im 0.352 * [backup-simplify]: Simplify re into re 0.352 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.352 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.352 * [taylor]: Taking taylor expansion of -1 in im 0.352 * [backup-simplify]: Simplify -1 into -1 0.352 * [taylor]: Taking taylor expansion of re in im 0.352 * [backup-simplify]: Simplify re into re 0.352 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.352 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.352 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.352 * [taylor]: Taking taylor expansion of -1 in im 0.352 * [backup-simplify]: Simplify -1 into -1 0.352 * [taylor]: Taking taylor expansion of im in im 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ -1 1) into -1 0.353 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.353 * [taylor]: Taking taylor expansion of -1 in im 0.353 * [backup-simplify]: Simplify -1 into -1 0.353 * [taylor]: Taking taylor expansion of im in im 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ -1 1) into -1 0.353 * [backup-simplify]: Simplify (* -1 -1) into 1 0.354 * [backup-simplify]: Simplify (+ 0 1) into 1 0.354 * [backup-simplify]: Simplify (sqrt 1) into 1 0.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.356 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.356 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.356 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.356 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.356 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.356 * [taylor]: Taking taylor expansion of -1 in re 0.356 * [backup-simplify]: Simplify -1 into -1 0.356 * [taylor]: Taking taylor expansion of re in re 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ -1 1) into -1 0.356 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.356 * [taylor]: Taking taylor expansion of -1 in re 0.356 * [backup-simplify]: Simplify -1 into -1 0.356 * [taylor]: Taking taylor expansion of re in re 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ -1 1) into -1 0.357 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.357 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.357 * [taylor]: Taking taylor expansion of -1 in re 0.357 * [backup-simplify]: Simplify -1 into -1 0.357 * [taylor]: Taking taylor expansion of im in re 0.357 * [backup-simplify]: Simplify im into im 0.357 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.357 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.357 * [taylor]: Taking taylor expansion of -1 in re 0.357 * [backup-simplify]: Simplify -1 into -1 0.357 * [taylor]: Taking taylor expansion of im in re 0.357 * [backup-simplify]: Simplify im into im 0.357 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.357 * [backup-simplify]: Simplify (* -1 -1) into 1 0.357 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [backup-simplify]: Simplify (sqrt 1) into 1 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.360 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.360 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.360 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.360 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.360 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.360 * [taylor]: Taking taylor expansion of -1 in re 0.360 * [backup-simplify]: Simplify -1 into -1 0.360 * [taylor]: Taking taylor expansion of re in re 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ -1 1) into -1 0.360 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.360 * [taylor]: Taking taylor expansion of -1 in re 0.360 * [backup-simplify]: Simplify -1 into -1 0.360 * [taylor]: Taking taylor expansion of re in re 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ -1 1) into -1 0.360 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.360 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.361 * [taylor]: Taking taylor expansion of -1 in re 0.361 * [backup-simplify]: Simplify -1 into -1 0.361 * [taylor]: Taking taylor expansion of im in re 0.361 * [backup-simplify]: Simplify im into im 0.361 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.361 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.361 * [taylor]: Taking taylor expansion of -1 in re 0.361 * [backup-simplify]: Simplify -1 into -1 0.361 * [taylor]: Taking taylor expansion of im in re 0.361 * [backup-simplify]: Simplify im into im 0.361 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.361 * [backup-simplify]: Simplify (* -1 -1) into 1 0.361 * [backup-simplify]: Simplify (+ 1 0) into 1 0.361 * [backup-simplify]: Simplify (sqrt 1) into 1 0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.363 * [taylor]: Taking taylor expansion of 1 in im 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [taylor]: Taking taylor expansion of 0 in im 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.365 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.365 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.366 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.366 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.366 * [taylor]: Taking taylor expansion of 1/2 in im 0.366 * [backup-simplify]: Simplify 1/2 into 1/2 0.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.366 * [taylor]: Taking taylor expansion of im in im 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.369 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.369 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.370 * [taylor]: Taking taylor expansion of 0 in im 0.370 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.371 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.371 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im)) 0.371 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 0.371 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 0.371 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.372 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.372 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.372 * [taylor]: Taking taylor expansion of (* re re) in im 0.372 * [taylor]: Taking taylor expansion of re in im 0.372 * [backup-simplify]: Simplify re into re 0.372 * [taylor]: Taking taylor expansion of re in im 0.372 * [backup-simplify]: Simplify re into re 0.372 * [taylor]: Taking taylor expansion of (* im im) in im 0.372 * [taylor]: Taking taylor expansion of im in im 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of im in im 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.372 * [backup-simplify]: Simplify (* 0 0) into 0 0.372 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.372 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.372 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.373 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.373 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 0.373 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.373 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.373 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.373 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.373 * [taylor]: Taking taylor expansion of (* re re) in re 0.373 * [taylor]: Taking taylor expansion of re in re 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [taylor]: Taking taylor expansion of re in re 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [taylor]: Taking taylor expansion of (* im im) in re 0.374 * [taylor]: Taking taylor expansion of im in re 0.374 * [backup-simplify]: Simplify im into im 0.374 * [taylor]: Taking taylor expansion of im in re 0.374 * [backup-simplify]: Simplify im into im 0.374 * [backup-simplify]: Simplify (* 0 0) into 0 0.374 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.374 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.374 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.374 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.375 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 0.375 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.375 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.375 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.375 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.375 * [taylor]: Taking taylor expansion of (* re re) in re 0.375 * [taylor]: Taking taylor expansion of re in re 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of re in re 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of (* im im) in re 0.375 * [taylor]: Taking taylor expansion of im in re 0.375 * [backup-simplify]: Simplify im into im 0.375 * [taylor]: Taking taylor expansion of im in re 0.375 * [backup-simplify]: Simplify im into im 0.375 * [backup-simplify]: Simplify (* 0 0) into 0 0.376 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.376 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.376 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.376 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.376 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.376 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 0.377 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.377 * [taylor]: Taking taylor expansion of im in im 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (sqrt 0) into 0 0.378 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [taylor]: Taking taylor expansion of 0 in im 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.379 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.379 * [backup-simplify]: Simplify (+ 1 0) into 1 0.379 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.380 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 0.380 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 0.380 * [taylor]: Taking taylor expansion of 1/4 in im 0.380 * [backup-simplify]: Simplify 1/4 into 1/4 0.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.380 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.380 * [taylor]: Taking taylor expansion of im in im 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [backup-simplify]: Simplify (sqrt 0) into 0 0.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.385 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.386 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.387 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.388 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) 0.388 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im))) 0.388 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.388 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 0.388 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.388 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.388 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.388 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.388 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.388 * [taylor]: Taking taylor expansion of re in im 0.388 * [backup-simplify]: Simplify re into re 0.388 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.388 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.388 * [taylor]: Taking taylor expansion of re in im 0.388 * [backup-simplify]: Simplify re into re 0.388 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.388 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.388 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.389 * [taylor]: Taking taylor expansion of im in im 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.389 * [taylor]: Taking taylor expansion of im in im 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (+ 0 1) into 1 0.390 * [backup-simplify]: Simplify (sqrt 1) into 1 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.392 * [backup-simplify]: Simplify (sqrt 0) into 0 0.393 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.393 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.393 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.393 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.393 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.393 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.393 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.393 * [taylor]: Taking taylor expansion of re in re 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.393 * [taylor]: Taking taylor expansion of re in re 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.394 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.394 * [taylor]: Taking taylor expansion of im in re 0.394 * [backup-simplify]: Simplify im into im 0.394 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.394 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.394 * [taylor]: Taking taylor expansion of im in re 0.394 * [backup-simplify]: Simplify im into im 0.394 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.394 * [backup-simplify]: Simplify (* 1 1) into 1 0.394 * [backup-simplify]: Simplify (+ 1 0) into 1 0.394 * [backup-simplify]: Simplify (sqrt 1) into 1 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.396 * [backup-simplify]: Simplify (sqrt 0) into 0 0.397 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.397 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.397 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.397 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.397 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.397 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.397 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.397 * [taylor]: Taking taylor expansion of re in re 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.398 * [taylor]: Taking taylor expansion of re in re 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.398 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.398 * [taylor]: Taking taylor expansion of im in re 0.398 * [backup-simplify]: Simplify im into im 0.398 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.398 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.398 * [taylor]: Taking taylor expansion of im in re 0.398 * [backup-simplify]: Simplify im into im 0.398 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.399 * [backup-simplify]: Simplify (+ 1 0) into 1 0.399 * [backup-simplify]: Simplify (sqrt 1) into 1 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.401 * [backup-simplify]: Simplify (sqrt 0) into 0 0.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.402 * [taylor]: Taking taylor expansion of 0 in im 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [taylor]: Taking taylor expansion of +nan.0 in im 0.402 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.403 * [taylor]: Taking taylor expansion of +nan.0 in im 0.403 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.403 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.405 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.405 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.406 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.407 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.407 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 0.407 * [taylor]: Taking taylor expansion of +nan.0 in im 0.407 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.407 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 0.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.407 * [taylor]: Taking taylor expansion of 1/2 in im 0.407 * [backup-simplify]: Simplify 1/2 into 1/2 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.407 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.407 * [taylor]: Taking taylor expansion of im in im 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (* 1 1) into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [taylor]: Taking taylor expansion of +nan.0 in im 0.408 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.409 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.410 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.413 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.413 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.413 * [taylor]: Taking taylor expansion of +nan.0 in im 0.413 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.413 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.413 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.413 * [taylor]: Taking taylor expansion of +nan.0 in im 0.413 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.413 * [taylor]: Taking taylor expansion of im in im 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.414 * [taylor]: Taking taylor expansion of +nan.0 in im 0.414 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.416 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.416 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.418 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.418 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.420 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 0.420 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.420 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0.420 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im))) 0.420 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.421 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 0.421 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.421 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.421 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.421 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.421 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.421 * [taylor]: Taking taylor expansion of -1 in im 0.421 * [backup-simplify]: Simplify -1 into -1 0.421 * [taylor]: Taking taylor expansion of re in im 0.421 * [backup-simplify]: Simplify re into re 0.421 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.421 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.421 * [taylor]: Taking taylor expansion of -1 in im 0.421 * [backup-simplify]: Simplify -1 into -1 0.421 * [taylor]: Taking taylor expansion of re in im 0.421 * [backup-simplify]: Simplify re into re 0.421 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.421 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.421 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.421 * [taylor]: Taking taylor expansion of -1 in im 0.421 * [backup-simplify]: Simplify -1 into -1 0.421 * [taylor]: Taking taylor expansion of im in im 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (/ -1 1) into -1 0.421 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.421 * [taylor]: Taking taylor expansion of -1 in im 0.421 * [backup-simplify]: Simplify -1 into -1 0.421 * [taylor]: Taking taylor expansion of im in im 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (/ -1 1) into -1 0.422 * [backup-simplify]: Simplify (* -1 -1) into 1 0.422 * [backup-simplify]: Simplify (+ 0 1) into 1 0.422 * [backup-simplify]: Simplify (sqrt 1) into 1 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.425 * [backup-simplify]: Simplify (sqrt 0) into 0 0.425 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.425 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.425 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.426 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.426 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.426 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.426 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.426 * [taylor]: Taking taylor expansion of -1 in re 0.426 * [backup-simplify]: Simplify -1 into -1 0.426 * [taylor]: Taking taylor expansion of re in re 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ -1 1) into -1 0.426 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.426 * [taylor]: Taking taylor expansion of -1 in re 0.426 * [backup-simplify]: Simplify -1 into -1 0.426 * [taylor]: Taking taylor expansion of re in re 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ -1 1) into -1 0.426 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.426 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.426 * [taylor]: Taking taylor expansion of -1 in re 0.426 * [backup-simplify]: Simplify -1 into -1 0.426 * [taylor]: Taking taylor expansion of im in re 0.426 * [backup-simplify]: Simplify im into im 0.426 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.426 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.427 * [taylor]: Taking taylor expansion of -1 in re 0.427 * [backup-simplify]: Simplify -1 into -1 0.427 * [taylor]: Taking taylor expansion of im in re 0.427 * [backup-simplify]: Simplify im into im 0.427 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.427 * [backup-simplify]: Simplify (* -1 -1) into 1 0.427 * [backup-simplify]: Simplify (+ 1 0) into 1 0.427 * [backup-simplify]: Simplify (sqrt 1) into 1 0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.429 * [backup-simplify]: Simplify (sqrt 0) into 0 0.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.430 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.430 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.430 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.430 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.430 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.430 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.430 * [taylor]: Taking taylor expansion of -1 in re 0.430 * [backup-simplify]: Simplify -1 into -1 0.430 * [taylor]: Taking taylor expansion of re in re 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ -1 1) into -1 0.431 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.431 * [taylor]: Taking taylor expansion of -1 in re 0.431 * [backup-simplify]: Simplify -1 into -1 0.431 * [taylor]: Taking taylor expansion of re in re 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ -1 1) into -1 0.431 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.431 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.431 * [taylor]: Taking taylor expansion of -1 in re 0.431 * [backup-simplify]: Simplify -1 into -1 0.431 * [taylor]: Taking taylor expansion of im in re 0.431 * [backup-simplify]: Simplify im into im 0.431 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.431 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.431 * [taylor]: Taking taylor expansion of -1 in re 0.431 * [backup-simplify]: Simplify -1 into -1 0.431 * [taylor]: Taking taylor expansion of im in re 0.431 * [backup-simplify]: Simplify im into im 0.431 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.432 * [backup-simplify]: Simplify (* -1 -1) into 1 0.432 * [backup-simplify]: Simplify (+ 1 0) into 1 0.432 * [backup-simplify]: Simplify (sqrt 1) into 1 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.434 * [backup-simplify]: Simplify (sqrt 0) into 0 0.435 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.435 * [taylor]: Taking taylor expansion of 0 in im 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [taylor]: Taking taylor expansion of +nan.0 in im 0.435 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.435 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.437 * [taylor]: Taking taylor expansion of +nan.0 in im 0.437 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.437 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.439 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.439 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.439 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.441 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.441 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 0.441 * [taylor]: Taking taylor expansion of +nan.0 in im 0.441 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.441 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 0.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.441 * [taylor]: Taking taylor expansion of 1/2 in im 0.441 * [backup-simplify]: Simplify 1/2 into 1/2 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.441 * [taylor]: Taking taylor expansion of im in im 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of +nan.0 in im 0.444 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.446 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.446 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.450 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.450 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.450 * [taylor]: Taking taylor expansion of +nan.0 in im 0.450 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.450 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.450 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.450 * [taylor]: Taking taylor expansion of +nan.0 in im 0.450 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.450 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.450 * [taylor]: Taking taylor expansion of im in im 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.451 * [taylor]: Taking taylor expansion of +nan.0 in im 0.451 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.453 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.453 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.455 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.455 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.456 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 0.457 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.457 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0.457 * * * [progress]: simplifying candidates 0.458 * [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)) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt 1) (sqrt (hypot re im)) (/ 1 2) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0.459 * [simplify]: Sending expressions to egg_math: (expm1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (log1p (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot h0 h1) (hypot h0 h1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (hypot h0 h1) (hypot h0 h1)) (+ 1 1) (+ (log (sqrt (hypot h0 h1))) (log (sqrt (hypot h0 h1)))) (log (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (exp (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1)))) (* (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (hypot h0 h1) (hypot h0 h1)) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 1 1) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot h0 h1)) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) 1) (* (cbrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (expm1 (sqrt (hypot h0 h1))) (log1p (sqrt (hypot h0 h1))) (log (sqrt (hypot h0 h1))) (exp (sqrt (hypot h0 h1))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (cbrt (sqrt (hypot h0 h1))) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (sqrt (cbrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))) (sqrt 1) (sqrt (hypot h0 h1)) (/ 1 2) (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))) h1 h0 (* -1 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h1) (- (* h2 (pow h1 2))))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) 0.462 * * [simplify]: iteration 0 : 164 enodes (cost 296 ) 0.466 * * [simplify]: iteration 1 : 615 enodes (cost 256 ) 0.483 * * [simplify]: iteration 2 : 3778 enodes (cost 243 ) 0.612 * * [simplify]: iteration 3 : 5001 enodes (cost 243 ) 0.614 * * * [progress]: adding candidates to table 0.773 * [progress]: [Phase 3 of 3] Extracting. 0.773 * * [regime]: Finding splitpoints for: (# #) 0.773 * * * [regime-changes]: Trying 2 branch expressions: (im re) 0.773 * * * * [regimes]: Trying to branch on im from (# #) 0.784 * * * * [regimes]: Trying to branch on re from (# #) 0.794 * * * [regime]: Found split indices: #