0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.020 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 0.020 * * [simplify]: iteration 1: (6 enodes) 0.021 * * [simplify]: iteration 2: (21 enodes) 0.024 * * [simplify]: iteration 3: (23 enodes) 0.027 * * [simplify]: Extracting #0: cost 1 inf + 0 0.027 * * [simplify]: Extracting #1: cost 5 inf + 0 0.027 * * [simplify]: Extracting #2: cost 6 inf + 2 0.028 * * [simplify]: Extracting #3: cost 2 inf + 392 0.028 * * [simplify]: Extracting #4: cost 0 inf + 474 0.028 * [simplify]: Simplified to (hypot re im) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.042 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.042 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.042 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.042 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.042 * [taylor]: Taking taylor expansion of (* re re) in im 0.042 * [taylor]: Taking taylor expansion of re in im 0.042 * [backup-simplify]: Simplify re into re 0.042 * [taylor]: Taking taylor expansion of re in im 0.042 * [backup-simplify]: Simplify re into re 0.042 * [taylor]: Taking taylor expansion of (* im im) in im 0.042 * [taylor]: Taking taylor expansion of im in im 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [taylor]: Taking taylor expansion of im in im 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.043 * [backup-simplify]: Simplify (* 0 0) into 0 0.043 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.043 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.043 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.044 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.044 * [backup-simplify]: Simplify (+ 0 0) into 0 0.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.045 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.045 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.045 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.045 * [taylor]: Taking taylor expansion of (* re 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 * [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 * [taylor]: Taking taylor expansion of (* im im) in re 0.045 * [taylor]: Taking taylor expansion of im in re 0.045 * [backup-simplify]: Simplify im into im 0.045 * [taylor]: Taking taylor expansion of im in re 0.045 * [backup-simplify]: Simplify im into im 0.045 * [backup-simplify]: Simplify (* 0 0) into 0 0.045 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.045 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.045 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.046 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.046 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.046 * [backup-simplify]: Simplify (+ 0 0) into 0 0.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.046 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.046 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.046 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.046 * [taylor]: Taking taylor expansion of (* re re) in re 0.046 * [taylor]: Taking taylor expansion of re in re 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of re in re 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of (* im im) in re 0.046 * [taylor]: Taking taylor expansion of im in re 0.046 * [backup-simplify]: Simplify im into im 0.046 * [taylor]: Taking taylor expansion of im in re 0.046 * [backup-simplify]: Simplify im into im 0.046 * [backup-simplify]: Simplify (* 0 0) into 0 0.046 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.047 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.047 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.047 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.047 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.047 * [backup-simplify]: Simplify (+ 0 0) into 0 0.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.047 * [taylor]: Taking taylor expansion of im in im 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify 0 into 0 0.048 * [taylor]: Taking taylor expansion of 0 in im 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.049 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.049 * [backup-simplify]: Simplify (+ 1 0) into 1 0.049 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.049 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.049 * [taylor]: Taking taylor expansion of 1/2 in im 0.049 * [backup-simplify]: Simplify 1/2 into 1/2 0.049 * [taylor]: Taking taylor expansion of im in im 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.051 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.052 * [taylor]: Taking taylor expansion of 0 in im 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 (* 1 (* im 1)) into im 0.053 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.053 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.053 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.053 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.053 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.053 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.053 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.053 * [taylor]: Taking taylor expansion of re in im 0.053 * [backup-simplify]: Simplify re into re 0.053 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.053 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.053 * [taylor]: Taking taylor expansion of re in im 0.053 * [backup-simplify]: Simplify re into re 0.053 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.053 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.053 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.053 * [taylor]: Taking taylor expansion of im in im 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.053 * [taylor]: Taking taylor expansion of im in im 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.054 * [backup-simplify]: Simplify (* 1 1) into 1 0.054 * [backup-simplify]: Simplify (+ 0 1) into 1 0.054 * [backup-simplify]: Simplify (sqrt 1) into 1 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.056 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.056 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.056 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.056 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.056 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.056 * [taylor]: Taking taylor expansion of re in re 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.057 * [taylor]: Taking taylor expansion of re in re 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.057 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.057 * [taylor]: Taking taylor expansion of im in re 0.057 * [backup-simplify]: Simplify im into im 0.057 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.057 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.057 * [taylor]: Taking taylor expansion of im in re 0.057 * [backup-simplify]: Simplify im into im 0.057 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.057 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (+ 1 0) into 1 0.058 * [backup-simplify]: Simplify (sqrt 1) into 1 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.059 * [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 re in re 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.060 * [taylor]: Taking taylor expansion of re in re 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.061 * [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 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 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 0.061 * [backup-simplify]: Simplify (+ 1 0) into 1 0.061 * [backup-simplify]: Simplify (sqrt 1) into 1 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 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 0.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.063 * [taylor]: Taking taylor expansion of 1 in im 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of 0 in im 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.079 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.079 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.080 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.080 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.080 * [taylor]: Taking taylor expansion of 1/2 in im 0.080 * [backup-simplify]: Simplify 1/2 into 1/2 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.086 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.089 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.089 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.089 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.089 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.089 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.089 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.089 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.089 * [taylor]: Taking taylor expansion of -1 in im 0.089 * [backup-simplify]: Simplify -1 into -1 0.089 * [taylor]: Taking taylor expansion of re in im 0.089 * [backup-simplify]: Simplify re into re 0.089 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.089 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.090 * [taylor]: Taking taylor expansion of -1 in im 0.090 * [backup-simplify]: Simplify -1 into -1 0.090 * [taylor]: Taking taylor expansion of re in im 0.090 * [backup-simplify]: Simplify re into re 0.090 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.090 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.090 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.090 * [taylor]: Taking taylor expansion of -1 in im 0.090 * [backup-simplify]: Simplify -1 into -1 0.090 * [taylor]: Taking taylor expansion of im in im 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ -1 1) into -1 0.090 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.090 * [taylor]: Taking taylor expansion of -1 in im 0.090 * [backup-simplify]: Simplify -1 into -1 0.090 * [taylor]: Taking taylor expansion of im in im 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ -1 1) into -1 0.091 * [backup-simplify]: Simplify (* -1 -1) into 1 0.092 * [backup-simplify]: Simplify (+ 0 1) into 1 0.092 * [backup-simplify]: Simplify (sqrt 1) into 1 0.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.096 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.096 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.096 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.096 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.096 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.096 * [taylor]: Taking taylor expansion of -1 in re 0.096 * [backup-simplify]: Simplify -1 into -1 0.096 * [taylor]: Taking taylor expansion of re in re 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ -1 1) into -1 0.096 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.096 * [taylor]: Taking taylor expansion of -1 in re 0.096 * [backup-simplify]: Simplify -1 into -1 0.096 * [taylor]: Taking taylor expansion of re in re 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ -1 1) into -1 0.097 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.097 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.097 * [taylor]: Taking taylor expansion of -1 in re 0.097 * [backup-simplify]: Simplify -1 into -1 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [backup-simplify]: Simplify im into im 0.097 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.097 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.097 * [taylor]: Taking taylor expansion of -1 in re 0.097 * [backup-simplify]: Simplify -1 into -1 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [backup-simplify]: Simplify im into im 0.097 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.098 * [backup-simplify]: Simplify (* -1 -1) into 1 0.098 * [backup-simplify]: Simplify (+ 1 0) into 1 0.099 * [backup-simplify]: Simplify (sqrt 1) into 1 0.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.102 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.102 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.102 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.102 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.102 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.102 * [taylor]: Taking taylor expansion of -1 in re 0.102 * [backup-simplify]: Simplify -1 into -1 0.102 * [taylor]: Taking taylor expansion of re in re 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ -1 1) into -1 0.103 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.103 * [taylor]: Taking taylor expansion of -1 in re 0.103 * [backup-simplify]: Simplify -1 into -1 0.103 * [taylor]: Taking taylor expansion of re in re 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ -1 1) into -1 0.103 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.103 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.103 * [taylor]: Taking taylor expansion of -1 in re 0.103 * [backup-simplify]: Simplify -1 into -1 0.103 * [taylor]: Taking taylor expansion of im in re 0.103 * [backup-simplify]: Simplify im into im 0.103 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.103 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.104 * [taylor]: Taking taylor expansion of -1 in re 0.104 * [backup-simplify]: Simplify -1 into -1 0.104 * [taylor]: Taking taylor expansion of im in re 0.104 * [backup-simplify]: Simplify im into im 0.104 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.104 * [backup-simplify]: Simplify (* -1 -1) into 1 0.104 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [backup-simplify]: Simplify (sqrt 1) into 1 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.108 * [taylor]: Taking taylor expansion of 1 in im 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of 0 in im 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.112 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.112 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.113 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.113 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.114 * [taylor]: Taking taylor expansion of 1/2 in im 0.114 * [backup-simplify]: Simplify 1/2 into 1/2 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.119 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.123 * * * [progress]: simplifying candidates 0.123 * * * * [progress]: [ 1 / 14 ] simplifiying candidate # 0.123 * * * * [progress]: [ 2 / 14 ] simplifiying candidate # 0.123 * * * * [progress]: [ 3 / 14 ] simplifiying candidate # 0.123 * * * * [progress]: [ 4 / 14 ] simplifiying candidate # 0.123 * * * * [progress]: [ 5 / 14 ] simplifiying candidate # 0.123 * * * * [progress]: [ 6 / 14 ] simplifiying candidate # 0.123 * * * * [progress]: [ 7 / 14 ] simplifiying candidate # 0.123 * * * * [progress]: [ 8 / 14 ] simplifiying candidate # 0.124 * * * * [progress]: [ 9 / 14 ] simplifiying candidate # 0.124 * * * * [progress]: [ 10 / 14 ] simplifiying candidate # 0.124 * * * * [progress]: [ 11 / 14 ] simplifiying candidate #real (real->posit16 (hypot re im))))> 0.124 * * * * [progress]: [ 12 / 14 ] simplifiying candidate # 0.124 * * * * [progress]: [ 13 / 14 ] simplifiying candidate # 0.124 * * * * [progress]: [ 14 / 14 ] simplifiying candidate # 0.124 * [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)), (real->posit16 (hypot re im)), im, re, (* -1 re) 0.124 * * [simplify]: iteration 1: (18 enodes) 0.133 * * [simplify]: iteration 2: (56 enodes) 0.152 * * [simplify]: iteration 3: (59 enodes) 0.164 * * [simplify]: iteration 4: (66 enodes) 0.177 * * [simplify]: iteration 5: (80 enodes) 0.194 * * [simplify]: iteration 6: (106 enodes) 0.232 * * [simplify]: iteration 7: (147 enodes) 0.269 * * [simplify]: iteration 8: (252 enodes) 0.367 * * [simplify]: iteration 9: (536 enodes) 0.708 * * [simplify]: iteration 10: (1493 enodes) 5.586 * * [simplify]: Extracting #0: cost 13 inf + 0 5.586 * * [simplify]: Extracting #1: cost 172 inf + 2 5.595 * * [simplify]: Extracting #2: cost 1074 inf + 999 5.607 * * [simplify]: Extracting #3: cost 1079 inf + 5786 5.663 * * [simplify]: Extracting #4: cost 723 inf + 299805 5.789 * * [simplify]: Extracting #5: cost 40 inf + 969771 5.945 * * [simplify]: Extracting #6: cost 0 inf + 996471 6.106 * * [simplify]: Extracting #7: cost 0 inf + 990036 6.303 * * [simplify]: Extracting #8: cost 0 inf + 989324 6.478 * [simplify]: Simplified to (expm1 (hypot re im)), (log1p (hypot re im)), (fma re re (* im im)), (log (hypot re im)), (exp (hypot re im)), (* (cbrt (hypot re im)) (cbrt (hypot re im))), (cbrt (hypot re im)), (* (hypot re im) (* (hypot re im) (hypot re im))), (sqrt (hypot re im)), (sqrt (hypot re im)), (real->posit16 (hypot re im)), im, re, (- re) 6.478 * * * [progress]: adding candidates to table 6.568 * * [progress]: iteration 2 / 4 6.568 * * * [progress]: picking best candidate 6.570 * * * * [pick]: Picked # 6.570 * * * [progress]: localizing error 6.580 * * * [progress]: generating rewritten candidates 6.580 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.591 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.605 * * * [progress]: generating series expansions 6.605 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.606 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.606 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.606 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.606 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.606 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.606 * [taylor]: Taking taylor expansion of im in im 6.606 * [backup-simplify]: Simplify 0 into 0 6.606 * [backup-simplify]: Simplify 1 into 1 6.606 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.606 * [taylor]: Taking taylor expansion of re in im 6.606 * [backup-simplify]: Simplify re into re 6.606 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.606 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.606 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.606 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.607 * [backup-simplify]: Simplify (+ 0 0) into 0 6.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.607 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.607 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.607 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.607 * [taylor]: Taking taylor expansion of im in re 6.607 * [backup-simplify]: Simplify im into im 6.607 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.607 * [taylor]: Taking taylor expansion of re in re 6.607 * [backup-simplify]: Simplify 0 into 0 6.607 * [backup-simplify]: Simplify 1 into 1 6.607 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.607 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.607 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.607 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.607 * [backup-simplify]: Simplify (+ 0 0) into 0 6.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.607 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.607 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.607 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.607 * [taylor]: Taking taylor expansion of im in re 6.607 * [backup-simplify]: Simplify im into im 6.607 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.607 * [taylor]: Taking taylor expansion of re in re 6.607 * [backup-simplify]: Simplify 0 into 0 6.607 * [backup-simplify]: Simplify 1 into 1 6.607 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.608 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.608 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.608 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.608 * [backup-simplify]: Simplify (+ 0 0) into 0 6.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.608 * [taylor]: Taking taylor expansion of im in im 6.608 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify 1 into 1 6.608 * [backup-simplify]: Simplify 0 into 0 6.608 * [taylor]: Taking taylor expansion of 0 in im 6.608 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify 1 into 1 6.609 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.609 * [backup-simplify]: Simplify (* 1 1) into 1 6.609 * [backup-simplify]: Simplify (+ 0 1) into 1 6.610 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.610 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.610 * [taylor]: Taking taylor expansion of 1/2 in im 6.610 * [backup-simplify]: Simplify 1/2 into 1/2 6.610 * [taylor]: Taking taylor expansion of im in im 6.610 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify 1 into 1 6.610 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.611 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.612 * [backup-simplify]: Simplify (+ 0 0) into 0 6.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.612 * [taylor]: Taking taylor expansion of 0 in im 6.612 * [backup-simplify]: Simplify 0 into 0 6.612 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.613 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.613 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.613 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.613 * [taylor]: Taking taylor expansion of re in im 6.613 * [backup-simplify]: Simplify re into re 6.613 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.613 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.613 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.613 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.613 * [taylor]: Taking taylor expansion of im in im 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify 1 into 1 6.613 * [backup-simplify]: Simplify (* 1 1) into 1 6.614 * [backup-simplify]: Simplify (/ 1 1) into 1 6.614 * [backup-simplify]: Simplify (+ 0 1) into 1 6.614 * [backup-simplify]: Simplify (sqrt 1) into 1 6.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.615 * [backup-simplify]: Simplify (+ 0 0) into 0 6.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.616 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.616 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.616 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.616 * [taylor]: Taking taylor expansion of re in re 6.616 * [backup-simplify]: Simplify 0 into 0 6.616 * [backup-simplify]: Simplify 1 into 1 6.616 * [backup-simplify]: Simplify (* 1 1) into 1 6.616 * [backup-simplify]: Simplify (/ 1 1) into 1 6.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.616 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.616 * [taylor]: Taking taylor expansion of im in re 6.616 * [backup-simplify]: Simplify im into im 6.616 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.616 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.617 * [backup-simplify]: Simplify (+ 1 0) into 1 6.617 * [backup-simplify]: Simplify (sqrt 1) into 1 6.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.618 * [backup-simplify]: Simplify (+ 0 0) into 0 6.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.618 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.618 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.618 * [taylor]: Taking taylor expansion of re in re 6.618 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify 1 into 1 6.619 * [backup-simplify]: Simplify (* 1 1) into 1 6.619 * [backup-simplify]: Simplify (/ 1 1) into 1 6.619 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.619 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.619 * [taylor]: Taking taylor expansion of im in re 6.619 * [backup-simplify]: Simplify im into im 6.619 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.619 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.619 * [backup-simplify]: Simplify (+ 1 0) into 1 6.619 * [backup-simplify]: Simplify (sqrt 1) into 1 6.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.620 * [backup-simplify]: Simplify (+ 0 0) into 0 6.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.621 * [taylor]: Taking taylor expansion of 1 in im 6.621 * [backup-simplify]: Simplify 1 into 1 6.621 * [taylor]: Taking taylor expansion of 0 in im 6.621 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify 1 into 1 6.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.622 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.623 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.623 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.623 * [taylor]: Taking taylor expansion of 1/2 in im 6.623 * [backup-simplify]: Simplify 1/2 into 1/2 6.623 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.623 * [taylor]: Taking taylor expansion of im in im 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 1 into 1 6.623 * [backup-simplify]: Simplify (* 1 1) into 1 6.623 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.624 * [backup-simplify]: Simplify 0 into 0 6.624 * [backup-simplify]: Simplify 0 into 0 6.624 * [backup-simplify]: Simplify 0 into 0 6.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.626 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.626 * [backup-simplify]: Simplify (+ 0 0) into 0 6.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.626 * [taylor]: Taking taylor expansion of 0 in im 6.626 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.628 * [backup-simplify]: Simplify 0 into 0 6.628 * [backup-simplify]: Simplify 0 into 0 6.628 * [backup-simplify]: Simplify 0 into 0 6.628 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.628 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.628 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.628 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.628 * [taylor]: Taking taylor expansion of re in im 6.628 * [backup-simplify]: Simplify re into re 6.628 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.628 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.628 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.628 * [taylor]: Taking taylor expansion of im in im 6.628 * [backup-simplify]: Simplify 0 into 0 6.628 * [backup-simplify]: Simplify 1 into 1 6.628 * [backup-simplify]: Simplify (* 1 1) into 1 6.629 * [backup-simplify]: Simplify (/ 1 1) into 1 6.629 * [backup-simplify]: Simplify (+ 0 1) into 1 6.629 * [backup-simplify]: Simplify (sqrt 1) into 1 6.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.630 * [backup-simplify]: Simplify (+ 0 0) into 0 6.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.631 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.631 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.631 * [taylor]: Taking taylor expansion of re in re 6.631 * [backup-simplify]: Simplify 0 into 0 6.631 * [backup-simplify]: Simplify 1 into 1 6.631 * [backup-simplify]: Simplify (* 1 1) into 1 6.631 * [backup-simplify]: Simplify (/ 1 1) into 1 6.631 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.631 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.631 * [taylor]: Taking taylor expansion of im in re 6.631 * [backup-simplify]: Simplify im into im 6.631 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.631 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.631 * [backup-simplify]: Simplify (+ 1 0) into 1 6.632 * [backup-simplify]: Simplify (sqrt 1) into 1 6.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.633 * [backup-simplify]: Simplify (+ 0 0) into 0 6.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.633 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.633 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.633 * [taylor]: Taking taylor expansion of re in re 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 1 into 1 6.634 * [backup-simplify]: Simplify (* 1 1) into 1 6.634 * [backup-simplify]: Simplify (/ 1 1) into 1 6.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.634 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.634 * [taylor]: Taking taylor expansion of im in re 6.634 * [backup-simplify]: Simplify im into im 6.634 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.635 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.635 * [backup-simplify]: Simplify (+ 1 0) into 1 6.635 * [backup-simplify]: Simplify (sqrt 1) into 1 6.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.637 * [backup-simplify]: Simplify (+ 0 0) into 0 6.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.638 * [taylor]: Taking taylor expansion of 1 in im 6.638 * [backup-simplify]: Simplify 1 into 1 6.638 * [taylor]: Taking taylor expansion of 0 in im 6.638 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify 1 into 1 6.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.640 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.641 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.641 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.642 * [taylor]: Taking taylor expansion of 1/2 in im 6.642 * [backup-simplify]: Simplify 1/2 into 1/2 6.642 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.642 * [taylor]: Taking taylor expansion of im in im 6.642 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify 1 into 1 6.642 * [backup-simplify]: Simplify (* 1 1) into 1 6.643 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.644 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.646 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.647 * [backup-simplify]: Simplify (+ 0 0) into 0 6.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.648 * [taylor]: Taking taylor expansion of 0 in im 6.648 * [backup-simplify]: Simplify 0 into 0 6.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.650 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.650 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 6.650 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 6.650 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.650 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.650 * [taylor]: Taking taylor expansion of im in im 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify 1 into 1 6.650 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.650 * [taylor]: Taking taylor expansion of re in im 6.650 * [backup-simplify]: Simplify re into re 6.650 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.650 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.650 * [taylor]: Taking taylor expansion of im in re 6.650 * [backup-simplify]: Simplify im into im 6.650 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.650 * [taylor]: Taking taylor expansion of re in re 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify 1 into 1 6.651 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.651 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.651 * [taylor]: Taking taylor expansion of im in re 6.651 * [backup-simplify]: Simplify im into im 6.651 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.651 * [taylor]: Taking taylor expansion of re in re 6.651 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify 1 into 1 6.651 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.651 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.651 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.651 * [taylor]: Taking taylor expansion of im in im 6.651 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify 1 into 1 6.651 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.651 * [backup-simplify]: Simplify (+ 0 0) into 0 6.651 * [taylor]: Taking taylor expansion of 0 in im 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.652 * [backup-simplify]: Simplify (* 1 1) into 1 6.653 * [backup-simplify]: Simplify (+ 0 1) into 1 6.653 * [taylor]: Taking taylor expansion of 1 in im 6.653 * [backup-simplify]: Simplify 1 into 1 6.653 * [backup-simplify]: Simplify 1 into 1 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify (* 1 1) into 1 6.653 * [backup-simplify]: Simplify 1 into 1 6.654 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.655 * [backup-simplify]: Simplify (+ 0 0) into 0 6.655 * [taylor]: Taking taylor expansion of 0 in im 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.656 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 6.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.659 * [backup-simplify]: Simplify (+ 0 0) into 0 6.659 * [taylor]: Taking taylor expansion of 0 in im 6.659 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 6.660 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 6.660 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 6.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.660 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.660 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.660 * [taylor]: Taking taylor expansion of re in im 6.660 * [backup-simplify]: Simplify re into re 6.660 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.660 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.660 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.660 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.660 * [taylor]: Taking taylor expansion of im in im 6.660 * [backup-simplify]: Simplify 0 into 0 6.660 * [backup-simplify]: Simplify 1 into 1 6.660 * [backup-simplify]: Simplify (* 1 1) into 1 6.661 * [backup-simplify]: Simplify (/ 1 1) into 1 6.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.661 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.661 * [taylor]: Taking taylor expansion of re in re 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 1 into 1 6.661 * [backup-simplify]: Simplify (* 1 1) into 1 6.662 * [backup-simplify]: Simplify (/ 1 1) into 1 6.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.662 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.662 * [taylor]: Taking taylor expansion of im in re 6.662 * [backup-simplify]: Simplify im into im 6.662 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.662 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.662 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.662 * [taylor]: Taking taylor expansion of re in re 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 1 into 1 6.662 * [backup-simplify]: Simplify (* 1 1) into 1 6.663 * [backup-simplify]: Simplify (/ 1 1) into 1 6.663 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.663 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.663 * [taylor]: Taking taylor expansion of im in re 6.663 * [backup-simplify]: Simplify im into im 6.663 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.663 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.663 * [backup-simplify]: Simplify (+ 1 0) into 1 6.663 * [taylor]: Taking taylor expansion of 1 in im 6.663 * [backup-simplify]: Simplify 1 into 1 6.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.665 * [backup-simplify]: Simplify (+ 0 0) into 0 6.665 * [taylor]: Taking taylor expansion of 0 in im 6.665 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.667 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.667 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.667 * [taylor]: Taking taylor expansion of im in im 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify 1 into 1 6.667 * [backup-simplify]: Simplify (* 1 1) into 1 6.668 * [backup-simplify]: Simplify (/ 1 1) into 1 6.668 * [backup-simplify]: Simplify 1 into 1 6.668 * [backup-simplify]: Simplify 1 into 1 6.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.670 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.670 * [backup-simplify]: Simplify (+ 0 0) into 0 6.670 * [taylor]: Taking taylor expansion of 0 in im 6.670 * [backup-simplify]: Simplify 0 into 0 6.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.671 * [backup-simplify]: Simplify 0 into 0 6.671 * [backup-simplify]: Simplify 0 into 0 6.671 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.674 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 6.674 * [backup-simplify]: Simplify (+ 0 0) into 0 6.674 * [taylor]: Taking taylor expansion of 0 in im 6.674 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.676 * [backup-simplify]: Simplify 0 into 0 6.676 * [backup-simplify]: Simplify 0 into 0 6.676 * [backup-simplify]: Simplify 0 into 0 6.676 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 6.677 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 6.677 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 6.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.677 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.677 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.677 * [taylor]: Taking taylor expansion of re in im 6.677 * [backup-simplify]: Simplify re into re 6.677 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.677 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.677 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.677 * [taylor]: Taking taylor expansion of im in im 6.677 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify 1 into 1 6.678 * [backup-simplify]: Simplify (* 1 1) into 1 6.678 * [backup-simplify]: Simplify (/ 1 1) into 1 6.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.678 * [taylor]: Taking taylor expansion of re in re 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 1 into 1 6.678 * [backup-simplify]: Simplify (* 1 1) into 1 6.679 * [backup-simplify]: Simplify (/ 1 1) into 1 6.679 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.679 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.679 * [taylor]: Taking taylor expansion of im in re 6.679 * [backup-simplify]: Simplify im into im 6.679 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.679 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.679 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.679 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.679 * [taylor]: Taking taylor expansion of re in re 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 1 into 1 6.680 * [backup-simplify]: Simplify (* 1 1) into 1 6.680 * [backup-simplify]: Simplify (/ 1 1) into 1 6.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.680 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.680 * [taylor]: Taking taylor expansion of im in re 6.680 * [backup-simplify]: Simplify im into im 6.680 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.680 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.681 * [backup-simplify]: Simplify (+ 1 0) into 1 6.681 * [taylor]: Taking taylor expansion of 1 in im 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.682 * [backup-simplify]: Simplify (+ 0 0) into 0 6.682 * [taylor]: Taking taylor expansion of 0 in im 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.684 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.684 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.684 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.684 * [taylor]: Taking taylor expansion of im in im 6.684 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify 1 into 1 6.685 * [backup-simplify]: Simplify (* 1 1) into 1 6.685 * [backup-simplify]: Simplify (/ 1 1) into 1 6.685 * [backup-simplify]: Simplify 1 into 1 6.685 * [backup-simplify]: Simplify 1 into 1 6.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.687 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.688 * [backup-simplify]: Simplify (+ 0 0) into 0 6.688 * [taylor]: Taking taylor expansion of 0 in im 6.688 * [backup-simplify]: Simplify 0 into 0 6.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.692 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 6.692 * [backup-simplify]: Simplify (+ 0 0) into 0 6.692 * [taylor]: Taking taylor expansion of 0 in im 6.692 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.694 * [backup-simplify]: Simplify 0 into 0 6.694 * [backup-simplify]: Simplify 0 into 0 6.694 * [backup-simplify]: Simplify 0 into 0 6.695 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 6.695 * * * [progress]: simplifying candidates 6.695 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 6.695 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 6.695 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 6.695 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 6.695 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 6.695 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 6.695 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 6.695 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 6.695 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 6.695 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 6.695 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 6.695 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 6.695 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 19 / 40 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))> 6.696 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 6.696 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 6.697 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))))> 6.697 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 6.697 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 6.697 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 6.697 * * * * [progress]: [ 37 / 40 ] simplifiying candidate # 6.697 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 6.697 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 6.697 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 6.698 * [simplify]: Simplifying (expm1 (sqrt (+ (* re re) (* im im)))), (log1p (sqrt (+ (* re re) (* im im)))), (log (sqrt (+ (* re re) (* im im)))), (exp (sqrt (+ (* re re) (* im im)))), (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))), (cbrt (sqrt (+ (* re re) (* im im)))), (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))), (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))), (sqrt (cbrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt 1), (sqrt (+ (* re re) (* im im))), (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))), (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))), (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))), (sqrt (- (* re re) (* im im))), (/ 1 2), (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (real->posit16 (sqrt (+ (* re re) (* im im)))), (expm1 (+ (* re re) (* im im))), (log1p (+ (* re re) (* im im))), (* (exp (* re re)) (exp (* im im))), (log (+ (* re re) (* im im))), (exp (+ (* re re) (* im im))), (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))), (cbrt (+ (* re re) (* im im))), (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))), (sqrt (+ (* re re) (* im im))), (sqrt (+ (* re re) (* im im))), (+ (pow (* re re) 3) (pow (* im im) 3)), (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))), (- (* (* re re) (* re re)) (* (* im im) (* im im))), (- (* re re) (* im im)), (real->posit16 (+ (* re re) (* im im))), im, re, (* -1 re), (+ (pow im 2) (pow re 2)), (+ (pow im 2) (pow re 2)), (+ (pow im 2) (pow re 2)) 6.698 * * [simplify]: iteration 1: (54 enodes) 6.735 * * [simplify]: iteration 2: (234 enodes) 6.810 * * [simplify]: iteration 3: (510 enodes) 7.069 * * [simplify]: iteration 4: (1248 enodes) 8.121 * * [simplify]: Extracting #0: cost 34 inf + 0 8.122 * * [simplify]: Extracting #1: cost 179 inf + 566 8.129 * * [simplify]: Extracting #2: cost 492 inf + 6704 8.148 * * [simplify]: Extracting #3: cost 273 inf + 52512 8.204 * * [simplify]: Extracting #4: cost 70 inf + 101605 8.243 * * [simplify]: Extracting #5: cost 10 inf + 123615 8.281 * * [simplify]: Extracting #6: cost 0 inf + 129161 8.323 * [simplify]: Simplified to (expm1 (hypot re im)), (log1p (hypot re im)), (log (hypot re im)), (exp (hypot re im)), (* (cbrt (hypot re im)) (cbrt (hypot re im))), (cbrt (hypot re im)), (* (hypot re im) (fma re re (* im im))), (fabs (cbrt (fma re re (* im im)))), (sqrt (cbrt (fma re re (* im im)))), (sqrt (hypot re im)), (sqrt (hypot re im)), 1, (hypot re im), (hypot (* re (* re re)) (* im (* im im))), (sqrt (fma (* im im) (- (* im im) (* re re)) (* (* re re) (* re re)))), (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))), (sqrt (* (+ re im) (- re im))), 1/2, (sqrt (hypot re im)), (sqrt (hypot re im)), (real->posit16 (hypot re im)), (expm1 (fma re re (* im im))), (log1p (fma re re (* im im))), (exp (fma re re (* im im))), (+ (log (hypot re im)) (log (hypot re im))), (exp (fma re re (* im im))), (* (cbrt (fma re re (* im im))) (cbrt (fma re re (* im im)))), (cbrt (fma re re (* im im))), (* (* (fma re re (* im im)) (fma re re (* im im))) (fma re re (* im im))), (hypot re im), (hypot re im), (fma (* im (* im im)) (* im (* im im)) (* (* re (* re re)) (* re (* re re)))), (fma (* im im) (- (* im im) (* re re)) (* (* re re) (* re re))), (- (* (* re re) (* re re)) (* (* im im) (* im im))), (* (+ re im) (- re im)), (real->posit16 (fma re re (* im im))), im, re, (- re), (fma re re (* im im)), (fma re re (* im im)), (fma re re (* im im)) 8.326 * * * [progress]: adding candidates to table 8.623 * [progress]: [Phase 3 of 3] Extracting. 8.623 * * [regime]: Finding splitpoints for: (# #) 8.624 * * * [regime-changes]: Trying 6 branch expressions: (im (* im im) re (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) 8.624 * * * * [regimes]: Trying to branch on im from (# #) 8.661 * * * * [regimes]: Trying to branch on (* im im) from (# #) 8.697 * * * * [regimes]: Trying to branch on re from (# #) 8.716 * * * * [regimes]: Trying to branch on (* re re) from (# #) 8.743 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 8.781 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 8.824 * * * [regime]: Found split indices: #