53.306 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.021 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.021 * * [simplify]: iteration 0: 6 enodes 0.022 * * [simplify]: iteration 1: 9 enodes 0.023 * * [simplify]: iteration 2: 11 enodes 0.024 * * [simplify]: iteration complete: 11 enodes 0.024 * * [simplify]: Extracting #0: cost 1 inf + 0 0.024 * * [simplify]: Extracting #1: cost 4 inf + 0 0.024 * * [simplify]: Extracting #2: cost 4 inf + 2 0.025 * * [simplify]: Extracting #3: cost 0 inf + 238 0.025 * [simplify]: Simplified to: (hypot re im) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.043 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.043 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.043 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.043 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.043 * [taylor]: Taking taylor expansion of (* re re) in im 0.043 * [taylor]: Taking taylor expansion of re in im 0.043 * [backup-simplify]: Simplify re into re 0.043 * [taylor]: Taking taylor expansion of re in im 0.043 * [backup-simplify]: Simplify re into re 0.043 * [taylor]: Taking taylor expansion of (* im im) in im 0.043 * [taylor]: Taking taylor expansion of im in im 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [taylor]: Taking taylor expansion of im in im 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [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 0.044 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.044 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.044 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.044 * [taylor]: Taking taylor expansion of (* re re) in re 0.044 * [taylor]: Taking taylor expansion of re in re 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [taylor]: Taking taylor expansion of re in re 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [taylor]: Taking taylor expansion of (* im im) in re 0.044 * [taylor]: Taking taylor expansion of im in re 0.044 * [backup-simplify]: Simplify im into im 0.044 * [taylor]: Taking taylor expansion of im in re 0.044 * [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 0.045 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.045 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.045 * [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) 0.046 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.046 * [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 0.047 * [taylor]: Taking taylor expansion of 0 in im 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.048 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.048 * [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 0.049 * [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 0.052 * [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 0.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [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 0.054 * [taylor]: Taking taylor expansion of re in im 0.054 * [backup-simplify]: Simplify re into re 0.054 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.054 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.054 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.054 * [taylor]: Taking taylor expansion of im in im 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (/ 1 1) into 1 0.054 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.054 * [taylor]: Taking taylor expansion of im in im 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [backup-simplify]: Simplify (* 1 1) into 1 0.055 * [backup-simplify]: Simplify (+ 0 1) into 1 0.055 * [backup-simplify]: Simplify (sqrt 1) into 1 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.058 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.058 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.058 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.058 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.058 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.058 * [taylor]: Taking taylor expansion of re in re 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.059 * [taylor]: Taking taylor expansion of re in re 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.059 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.059 * [taylor]: Taking taylor expansion of im in re 0.059 * [backup-simplify]: Simplify im into im 0.059 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.059 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.059 * [taylor]: Taking taylor expansion of im in re 0.059 * [backup-simplify]: Simplify im into im 0.059 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.060 * [backup-simplify]: Simplify (* 1 1) into 1 0.060 * [backup-simplify]: Simplify (+ 1 0) into 1 0.060 * [backup-simplify]: Simplify (sqrt 1) into 1 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [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 (hypot (/ 1 re) (/ 1 im)) in re 0.063 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.063 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.063 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.063 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.063 * [taylor]: Taking taylor expansion of re in re 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [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 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 im) (/ 1 im)) in re 0.064 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.064 * [taylor]: Taking taylor expansion of im in re 0.064 * [backup-simplify]: Simplify im into im 0.064 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.064 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.064 * [taylor]: Taking taylor expansion of im in re 0.064 * [backup-simplify]: Simplify im into im 0.064 * [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 0.065 * [backup-simplify]: Simplify (sqrt 1) into 1 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.069 * [taylor]: Taking taylor expansion of 1 in im 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of 0 in im 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.071 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.071 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.072 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.072 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.072 * [taylor]: Taking taylor expansion of 1/2 in im 0.072 * [backup-simplify]: Simplify 1/2 into 1/2 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (* 1 1) into 1 0.073 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.079 * [taylor]: Taking taylor expansion of 0 in im 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.081 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.081 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.081 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.081 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.081 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.081 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.081 * [taylor]: Taking taylor expansion of -1 in im 0.081 * [backup-simplify]: Simplify -1 into -1 0.081 * [taylor]: Taking taylor expansion of re in im 0.081 * [backup-simplify]: Simplify re into re 0.081 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.081 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.081 * [taylor]: Taking taylor expansion of -1 in im 0.081 * [backup-simplify]: Simplify -1 into -1 0.081 * [taylor]: Taking taylor expansion of re in im 0.081 * [backup-simplify]: Simplify re into re 0.081 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.081 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.081 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.081 * [taylor]: Taking taylor expansion of -1 in im 0.081 * [backup-simplify]: Simplify -1 into -1 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 0.082 * [backup-simplify]: Simplify (/ -1 1) into -1 0.082 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.082 * [taylor]: Taking taylor expansion of -1 in im 0.082 * [backup-simplify]: Simplify -1 into -1 0.082 * [taylor]: Taking taylor expansion of im in im 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ -1 1) into -1 0.083 * [backup-simplify]: Simplify (* -1 -1) into 1 0.083 * [backup-simplify]: Simplify (+ 0 1) into 1 0.084 * [backup-simplify]: Simplify (sqrt 1) into 1 0.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.087 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.087 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.087 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.087 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.087 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.087 * [taylor]: Taking taylor expansion of -1 in re 0.087 * [backup-simplify]: Simplify -1 into -1 0.087 * [taylor]: Taking taylor expansion of re in re 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (/ -1 1) into -1 0.088 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.088 * [taylor]: Taking taylor expansion of -1 in re 0.088 * [backup-simplify]: Simplify -1 into -1 0.088 * [taylor]: Taking taylor expansion of re in re 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (/ -1 1) into -1 0.088 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.088 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.088 * [taylor]: Taking taylor expansion of -1 in re 0.088 * [backup-simplify]: Simplify -1 into -1 0.088 * [taylor]: Taking taylor expansion of im in re 0.088 * [backup-simplify]: Simplify im into im 0.089 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.089 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.089 * [taylor]: Taking taylor expansion of -1 in re 0.089 * [backup-simplify]: Simplify -1 into -1 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [backup-simplify]: Simplify im into im 0.089 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.089 * [backup-simplify]: Simplify (* -1 -1) into 1 0.089 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [backup-simplify]: Simplify (sqrt 1) into 1 0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.093 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.093 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.093 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.093 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.093 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.093 * [taylor]: Taking taylor expansion of -1 in re 0.093 * [backup-simplify]: Simplify -1 into -1 0.093 * [taylor]: Taking taylor expansion of re in re 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (/ -1 1) into -1 0.094 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.094 * [taylor]: Taking taylor expansion of -1 in re 0.094 * [backup-simplify]: Simplify -1 into -1 0.094 * [taylor]: Taking taylor expansion of re in re 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (/ -1 1) into -1 0.094 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.094 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.094 * [taylor]: Taking taylor expansion of -1 in re 0.094 * [backup-simplify]: Simplify -1 into -1 0.094 * [taylor]: Taking taylor expansion of im in re 0.094 * [backup-simplify]: Simplify im into im 0.094 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.094 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.095 * [taylor]: Taking taylor expansion of -1 in re 0.095 * [backup-simplify]: Simplify -1 into -1 0.095 * [taylor]: Taking taylor expansion of im in re 0.095 * [backup-simplify]: Simplify im into im 0.095 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.095 * [backup-simplify]: Simplify (* -1 -1) into 1 0.095 * [backup-simplify]: Simplify (+ 1 0) into 1 0.096 * [backup-simplify]: Simplify (sqrt 1) into 1 0.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.099 * [taylor]: Taking taylor expansion of 1 in im 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.103 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.103 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.104 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.104 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.104 * [taylor]: Taking taylor expansion of 1/2 in im 0.104 * [backup-simplify]: Simplify 1/2 into 1/2 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.104 * [taylor]: Taking taylor expansion of im in im 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.110 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.110 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.112 * * * [progress]: simplifying candidates 0.112 * * * * [progress]: [ 1 / 14 ] simplifiying candidate # 0.113 * * * * [progress]: [ 2 / 14 ] simplifiying candidate # 0.113 * * * * [progress]: [ 3 / 14 ] simplifiying candidate # 0.113 * * * * [progress]: [ 4 / 14 ] simplifiying candidate # 0.113 * * * * [progress]: [ 5 / 14 ] simplifiying candidate # 0.113 * * * * [progress]: [ 6 / 14 ] simplifiying candidate # 0.113 * * * * [progress]: [ 7 / 14 ] simplifiying candidate # 0.113 * * * * [progress]: [ 8 / 14 ] simplifiying candidate # 0.113 * * * * [progress]: [ 9 / 14 ] simplifiying candidate # 0.113 * * * * [progress]: [ 10 / 14 ] simplifiying candidate # 0.113 * * * * [progress]: [ 11 / 14 ] simplifiying candidate #real (real->posit16 (hypot re im))))> 0.113 * * * * [progress]: [ 12 / 14 ] simplifiying candidate # 0.113 * * * * [progress]: [ 13 / 14 ] simplifiying candidate # 0.113 * * * * [progress]: [ 14 / 14 ] simplifiying candidate # 0.113 * [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) 0.114 * * [simplify]: iteration 0: 18 enodes 0.117 * * [simplify]: iteration 1: 23 enodes 0.121 * * [simplify]: iteration 2: 26 enodes 0.126 * * [simplify]: iteration 3: 31 enodes 0.133 * * [simplify]: iteration 4: 39 enodes 0.147 * * [simplify]: iteration 5: 73 enodes 0.169 * * [simplify]: iteration 6: 151 enodes 0.207 * * [simplify]: iteration 7: 333 enodes 0.343 * * [simplify]: iteration 8: 1012 enodes 1.353 * * [simplify]: iteration complete: 5000 enodes 1.353 * * [simplify]: Extracting #0: cost 13 inf + 0 1.354 * * [simplify]: Extracting #1: cost 335 inf + 2 1.361 * * [simplify]: Extracting #2: cost 1207 inf + 1512 1.370 * * [simplify]: Extracting #3: cost 1252 inf + 4412 1.406 * * [simplify]: Extracting #4: cost 736 inf + 277544 1.499 * * [simplify]: Extracting #5: cost 52 inf + 802276 1.615 * * [simplify]: Extracting #6: cost 0 inf + 843822 1.716 * * [simplify]: Extracting #7: cost 0 inf + 842315 1.824 * * [simplify]: Extracting #8: cost 0 inf + 841616 1.909 * * [simplify]: Extracting #9: cost 0 inf + 840896 1.991 * [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) 1.991 * * * [progress]: adding candidates to table 2.039 * * [progress]: iteration 2 / 4 2.039 * * * [progress]: picking best candidate 2.042 * * * * [pick]: Picked # 2.042 * * * [progress]: localizing error 2.054 * * * [progress]: generating rewritten candidates 2.054 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.065 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.074 * * * [progress]: generating series expansions 2.074 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.075 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.075 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.075 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.075 * [taylor]: Taking taylor expansion of im in im 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.075 * [taylor]: Taking taylor expansion of re in im 2.075 * [backup-simplify]: Simplify re into re 2.075 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.075 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.075 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.075 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.076 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.076 * [taylor]: Taking taylor expansion of im in re 2.076 * [backup-simplify]: Simplify im into im 2.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.076 * [taylor]: Taking taylor expansion of re in re 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.076 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.076 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.076 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.079 * [backup-simplify]: Simplify (+ 0 0) into 0 2.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.080 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.080 * [taylor]: Taking taylor expansion of im in re 2.080 * [backup-simplify]: Simplify im into im 2.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.080 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.080 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.080 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.080 * [taylor]: Taking taylor expansion of im in im 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify 0 into 0 2.081 * [taylor]: Taking taylor expansion of 0 in im 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.081 * [backup-simplify]: Simplify (* 1 1) into 1 2.081 * [backup-simplify]: Simplify (+ 0 1) into 1 2.082 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.082 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.082 * [taylor]: Taking taylor expansion of 1/2 in im 2.082 * [backup-simplify]: Simplify 1/2 into 1/2 2.082 * [taylor]: Taking taylor expansion of im in im 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.084 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.084 * [taylor]: Taking taylor expansion of 0 in im 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.085 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.085 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.085 * [taylor]: Taking taylor expansion of re in im 2.085 * [backup-simplify]: Simplify re into re 2.085 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.085 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.085 * [taylor]: Taking taylor expansion of im in im 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (* 1 1) into 1 2.086 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [backup-simplify]: Simplify (+ 0 1) into 1 2.086 * [backup-simplify]: Simplify (sqrt 1) into 1 2.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.088 * [taylor]: Taking taylor expansion of re in re 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (* 1 1) into 1 2.089 * [backup-simplify]: Simplify (/ 1 1) into 1 2.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.089 * [taylor]: Taking taylor expansion of im in re 2.089 * [backup-simplify]: Simplify im into im 2.089 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.089 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.089 * [backup-simplify]: Simplify (+ 1 0) into 1 2.089 * [backup-simplify]: Simplify (sqrt 1) into 1 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (+ 0 0) into 0 2.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.091 * [taylor]: Taking taylor expansion of re in re 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (* 1 1) into 1 2.091 * [backup-simplify]: Simplify (/ 1 1) into 1 2.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.092 * [taylor]: Taking taylor expansion of im in re 2.092 * [backup-simplify]: Simplify im into im 2.092 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.092 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.092 * [backup-simplify]: Simplify (+ 1 0) into 1 2.092 * [backup-simplify]: Simplify (sqrt 1) into 1 2.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.094 * [taylor]: Taking taylor expansion of 1 in im 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [taylor]: Taking taylor expansion of 0 in im 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.096 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.096 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.096 * [taylor]: Taking taylor expansion of 1/2 in im 2.096 * [backup-simplify]: Simplify 1/2 into 1/2 2.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.096 * [taylor]: Taking taylor expansion of im in im 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (* 1 1) into 1 2.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.099 * [taylor]: Taking taylor expansion of 0 in im 2.099 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.101 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.101 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.101 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.101 * [taylor]: Taking taylor expansion of re in im 2.101 * [backup-simplify]: Simplify re into re 2.101 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.101 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.101 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.101 * [taylor]: Taking taylor expansion of im in im 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.101 * [backup-simplify]: Simplify (* 1 1) into 1 2.102 * [backup-simplify]: Simplify (/ 1 1) into 1 2.102 * [backup-simplify]: Simplify (+ 0 1) into 1 2.102 * [backup-simplify]: Simplify (sqrt 1) into 1 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.104 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.104 * [taylor]: Taking taylor expansion of re in re 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (* 1 1) into 1 2.104 * [backup-simplify]: Simplify (/ 1 1) into 1 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.104 * [taylor]: Taking taylor expansion of im in re 2.104 * [backup-simplify]: Simplify im into im 2.104 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.104 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.105 * [backup-simplify]: Simplify (+ 1 0) into 1 2.105 * [backup-simplify]: Simplify (sqrt 1) into 1 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (+ 0 0) into 0 2.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (* 1 1) into 1 2.107 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.108 * [taylor]: Taking taylor expansion of im in re 2.108 * [backup-simplify]: Simplify im into im 2.108 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.108 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.108 * [backup-simplify]: Simplify (+ 1 0) into 1 2.108 * [backup-simplify]: Simplify (sqrt 1) into 1 2.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.110 * [taylor]: Taking taylor expansion of 1 in im 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [taylor]: Taking taylor expansion of 0 in im 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.112 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.112 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.112 * [taylor]: Taking taylor expansion of 1/2 in im 2.112 * [backup-simplify]: Simplify 1/2 into 1/2 2.112 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.112 * [taylor]: Taking taylor expansion of im in im 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (* 1 1) into 1 2.113 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.115 * [backup-simplify]: Simplify (+ 0 0) into 0 2.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.116 * [taylor]: Taking taylor expansion of 0 in im 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.117 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.117 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 2.117 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 2.117 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.117 * [taylor]: Taking taylor expansion of im in im 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.117 * [taylor]: Taking taylor expansion of re in im 2.117 * [backup-simplify]: Simplify re into re 2.117 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.117 * [taylor]: Taking taylor expansion of im in re 2.117 * [backup-simplify]: Simplify im into im 2.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.117 * [taylor]: Taking taylor expansion of re in re 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.117 * [taylor]: Taking taylor expansion of im in re 2.117 * [backup-simplify]: Simplify im into im 2.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.117 * [taylor]: Taking taylor expansion of re in re 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.118 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.118 * [taylor]: Taking taylor expansion of im in im 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.118 * [backup-simplify]: Simplify (+ 0 0) into 0 2.118 * [taylor]: Taking taylor expansion of 0 in im 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.119 * [backup-simplify]: Simplify (* 1 1) into 1 2.119 * [backup-simplify]: Simplify (+ 0 1) into 1 2.119 * [taylor]: Taking taylor expansion of 1 in im 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (* 1 1) into 1 2.119 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.120 * [backup-simplify]: Simplify (+ 0 0) into 0 2.120 * [taylor]: Taking taylor expansion of 0 in im 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.121 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 2.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.122 * [backup-simplify]: Simplify (+ 0 0) into 0 2.122 * [taylor]: Taking taylor expansion of 0 in im 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 2.123 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 2.123 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 2.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.123 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.123 * [taylor]: Taking taylor expansion of re in im 2.123 * [backup-simplify]: Simplify re into re 2.123 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.123 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.123 * [taylor]: Taking taylor expansion of im in im 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (* 1 1) into 1 2.124 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.124 * [taylor]: Taking taylor expansion of re in re 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (* 1 1) into 1 2.124 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.124 * [taylor]: Taking taylor expansion of im in re 2.124 * [backup-simplify]: Simplify im into im 2.124 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.124 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.124 * [taylor]: Taking taylor expansion of re in re 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (* 1 1) into 1 2.125 * [backup-simplify]: Simplify (/ 1 1) into 1 2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.125 * [taylor]: Taking taylor expansion of im in re 2.125 * [backup-simplify]: Simplify im into im 2.125 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.125 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.125 * [backup-simplify]: Simplify (+ 1 0) into 1 2.125 * [taylor]: Taking taylor expansion of 1 in im 2.125 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [taylor]: Taking taylor expansion of 0 in im 2.126 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.128 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.128 * [taylor]: Taking taylor expansion of im in im 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify (* 1 1) into 1 2.128 * [backup-simplify]: Simplify (/ 1 1) into 1 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [taylor]: Taking taylor expansion of 0 in im 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [taylor]: Taking taylor expansion of 0 in im 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 2.134 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 2.134 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 2.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.134 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.134 * [taylor]: Taking taylor expansion of re in im 2.134 * [backup-simplify]: Simplify re into re 2.134 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.134 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.135 * [taylor]: Taking taylor expansion of im in im 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (/ 1 1) into 1 2.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.135 * [taylor]: Taking taylor expansion of re in re 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.136 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.136 * [taylor]: Taking taylor expansion of im in re 2.136 * [backup-simplify]: Simplify im into im 2.136 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.136 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.136 * [taylor]: Taking taylor expansion of re in re 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (* 1 1) into 1 2.136 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.136 * [taylor]: Taking taylor expansion of im in re 2.136 * [backup-simplify]: Simplify im into im 2.136 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.137 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.137 * [backup-simplify]: Simplify (+ 1 0) into 1 2.137 * [taylor]: Taking taylor expansion of 1 in im 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (+ 0 0) into 0 2.138 * [taylor]: Taking taylor expansion of 0 in im 2.138 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.139 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.139 * [taylor]: Taking taylor expansion of im in im 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (* 1 1) into 1 2.140 * [backup-simplify]: Simplify (/ 1 1) into 1 2.140 * [backup-simplify]: Simplify 1 into 1 2.140 * [backup-simplify]: Simplify 1 into 1 2.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.141 * [taylor]: Taking taylor expansion of 0 in im 2.141 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 2.145 * [backup-simplify]: Simplify (+ 0 0) into 0 2.145 * [taylor]: Taking taylor expansion of 0 in im 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 2.146 * * * [progress]: simplifying candidates 2.146 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 2.146 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 2.146 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 2.146 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 2.146 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 2.146 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 2.146 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 2.146 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 2.146 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 2.146 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 2.146 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 2.146 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 19 / 40 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))> 2.147 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))))> 2.147 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 37 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 2.147 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 2.148 * [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)) 2.148 * * [simplify]: iteration 0: 54 enodes 2.159 * * [simplify]: iteration 1: 153 enodes 2.219 * * [simplify]: iteration 2: 806 enodes 2.501 * * [simplify]: iteration complete: 5000 enodes 2.501 * * [simplify]: Extracting #0: cost 34 inf + 0 2.502 * * [simplify]: Extracting #1: cost 408 inf + 229 2.510 * * [simplify]: Extracting #2: cost 1923 inf + 24057 2.550 * * [simplify]: Extracting #3: cost 588 inf + 181368 2.601 * * [simplify]: Extracting #4: cost 100 inf + 258897 2.656 * * [simplify]: Extracting #5: cost 12 inf + 278100 2.733 * * [simplify]: Extracting #6: cost 0 inf + 281394 2.814 * [simplify]: Simplified to: (expm1 (hypot im re)) (log1p (hypot im re)) (log (hypot im re)) (exp (hypot im re)) (* (cbrt (hypot im re)) (cbrt (hypot im re))) (cbrt (hypot im re)) (* (hypot im re) (fma im im (* re re))) (fabs (cbrt (fma im im (* re re)))) (sqrt (cbrt (fma im im (* re re)))) (sqrt (hypot im re)) (sqrt (hypot im re)) 1 (hypot im re) (hypot (* (* re re) re) (* (* im im) im)) (sqrt (fma (* im im) (- (* im im) (* re re)) (* (* re re) (* re re)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (hypot im re)) (sqrt (hypot im re)) (real->posit16 (hypot im re)) (expm1 (fma im im (* re re))) (log1p (fma im im (* re re))) (exp (fma im im (* re re))) (log (fma im im (* re re))) (exp (fma im im (* re re))) (* (cbrt (fma im im (* re re))) (cbrt (fma im im (* re re)))) (cbrt (fma im im (* re re))) (* (* (fma im im (* re re)) (fma im im (* re re))) (fma im im (* re re))) (hypot im re) (hypot im re) (fma (* (* re re) re) (* (* re re) re) (* (* (* im im) (* im im)) (* im im))) (fma (* im im) (- (* im im) (* re re)) (* (* re re) (* re re))) (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (* (+ re im) (- re im)) (real->posit16 (fma im im (* re re))) im re (- re) (fma im im (* re re)) (fma im im (* re re)) (fma im im (* re re)) 2.816 * * * [progress]: adding candidates to table 2.990 * [progress]: [Phase 3 of 3] Extracting. 2.991 * * [regime]: Finding splitpoints for: (# #) 2.991 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 2.991 * * * * [regimes]: Trying to branch on (* im im) from (# #) 3.014 * * * * [regimes]: Trying to branch on (* re re) from (# #) 3.041 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 3.073 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 3.105 * * * * [regimes]: Trying to branch on im from (# #) 3.135 * * * * [regimes]: Trying to branch on re from (# #) 3.161 * * * [regime]: Found split indices: #