38.432 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: Extracting # 3 : cost 0 0.026 * * [simplify]: Extracting # 4 : cost 0 0.026 * * [simplify]: Extracting # 5 : cost 0 0.026 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: Extracting # 1 : cost 0 0.028 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.032 * * [simplify]: Extracting # 0 : cost 0 0.032 * * [simplify]: iteration done: 11 enodes (cost 3 ) 0.032 * [simplify]: Simplified to: (hypot re im) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.047 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.048 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.048 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.048 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.048 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.048 * [taylor]: Taking taylor expansion of (* re re) in im 0.048 * [taylor]: Taking taylor expansion of re in im 0.048 * [backup-simplify]: Simplify re into re 0.048 * [taylor]: Taking taylor expansion of re in im 0.048 * [backup-simplify]: Simplify re into re 0.048 * [taylor]: Taking taylor expansion of (* im im) in im 0.048 * [taylor]: Taking taylor expansion of im in im 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of im in im 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.049 * [backup-simplify]: Simplify (* 0 0) into 0 0.049 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.049 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.049 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.050 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.050 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.050 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.050 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.050 * [taylor]: Taking taylor expansion of (* re re) in re 0.050 * [taylor]: Taking taylor expansion of re in re 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of re in re 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of (* im im) in re 0.051 * [taylor]: Taking taylor expansion of im in re 0.051 * [backup-simplify]: Simplify im into im 0.051 * [taylor]: Taking taylor expansion of im in re 0.051 * [backup-simplify]: Simplify im into im 0.051 * [backup-simplify]: Simplify (* 0 0) into 0 0.051 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.051 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.051 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.052 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.052 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.053 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.053 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.053 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.053 * [taylor]: Taking taylor expansion of (* re re) in re 0.053 * [taylor]: Taking taylor expansion of re in re 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of re in re 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of (* im im) in re 0.053 * [taylor]: Taking taylor expansion of im in re 0.053 * [backup-simplify]: Simplify im into im 0.053 * [taylor]: Taking taylor expansion of im in re 0.053 * [backup-simplify]: Simplify im into im 0.054 * [backup-simplify]: Simplify (* 0 0) into 0 0.054 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.054 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.054 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.055 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.055 * [taylor]: Taking taylor expansion of im in im 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [taylor]: Taking taylor expansion of 0 in im 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.057 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.057 * [backup-simplify]: Simplify (+ 1 0) into 1 0.058 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.058 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.058 * [taylor]: Taking taylor expansion of 1/2 in im 0.058 * [backup-simplify]: Simplify 1/2 into 1/2 0.058 * [taylor]: Taking taylor expansion of im in im 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.061 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in im 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.063 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.063 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.063 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 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 im 0.063 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.063 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.063 * [taylor]: Taking taylor expansion of re in im 0.064 * [backup-simplify]: Simplify re into re 0.064 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.064 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.064 * [taylor]: Taking taylor expansion of re in im 0.064 * [backup-simplify]: Simplify re into re 0.064 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.064 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.064 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.064 * [taylor]: Taking taylor expansion of im in im 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) in im 0.064 * [taylor]: Taking taylor expansion of im in im 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [backup-simplify]: Simplify (* 1 1) into 1 0.065 * [backup-simplify]: Simplify (+ 0 1) into 1 0.066 * [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 (hypot (/ 1 re) (/ 1 im)) in re 0.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.069 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.069 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.069 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.069 * [taylor]: Taking taylor expansion of re in re 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.070 * [taylor]: Taking taylor expansion of re in re 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.070 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.070 * [taylor]: Taking taylor expansion of im in re 0.070 * [backup-simplify]: Simplify im into im 0.071 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.071 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.071 * [taylor]: Taking taylor expansion of im in re 0.071 * [backup-simplify]: Simplify im into im 0.071 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (+ 1 0) into 1 0.080 * [backup-simplify]: Simplify (sqrt 1) into 1 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.083 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.083 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.083 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.083 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.083 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.084 * [backup-simplify]: Simplify im into im 0.084 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.084 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.084 * [backup-simplify]: Simplify im into im 0.084 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (+ 1 0) into 1 0.085 * [backup-simplify]: Simplify (sqrt 1) into 1 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 0 in im 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.093 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.093 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.094 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.094 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.094 * [taylor]: Taking taylor expansion of 1/2 in im 0.094 * [backup-simplify]: Simplify 1/2 into 1/2 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.094 * [taylor]: Taking taylor expansion of im in im 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.100 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.103 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.103 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.103 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.103 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.103 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.103 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.103 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.104 * [taylor]: Taking taylor expansion of -1 in im 0.104 * [backup-simplify]: Simplify -1 into -1 0.104 * [taylor]: Taking taylor expansion of re in im 0.104 * [backup-simplify]: Simplify re into re 0.104 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.104 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.104 * [taylor]: Taking taylor expansion of -1 in im 0.104 * [backup-simplify]: Simplify -1 into -1 0.104 * [taylor]: Taking taylor expansion of re in im 0.104 * [backup-simplify]: Simplify re into re 0.104 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.104 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.104 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.104 * [taylor]: Taking taylor expansion of -1 in im 0.104 * [backup-simplify]: Simplify -1 into -1 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 0.104 * [backup-simplify]: Simplify (/ -1 1) into -1 0.104 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.104 * [taylor]: Taking taylor expansion of -1 in im 0.105 * [backup-simplify]: Simplify -1 into -1 0.105 * [taylor]: Taking taylor expansion of im in im 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (/ -1 1) into -1 0.105 * [backup-simplify]: Simplify (* -1 -1) into 1 0.106 * [backup-simplify]: Simplify (+ 0 1) into 1 0.106 * [backup-simplify]: Simplify (sqrt 1) into 1 0.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.109 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.109 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.109 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.109 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.109 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.109 * [taylor]: Taking taylor expansion of -1 in re 0.109 * [backup-simplify]: Simplify -1 into -1 0.109 * [taylor]: Taking taylor expansion of re in re 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ -1 1) into -1 0.110 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.110 * [taylor]: Taking taylor expansion of -1 in re 0.110 * [backup-simplify]: Simplify -1 into -1 0.110 * [taylor]: Taking taylor expansion of re in re 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ -1 1) into -1 0.110 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.110 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.110 * [taylor]: Taking taylor expansion of -1 in re 0.110 * [backup-simplify]: Simplify -1 into -1 0.110 * [taylor]: Taking taylor expansion of im in re 0.110 * [backup-simplify]: Simplify im into im 0.111 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.111 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.111 * [taylor]: Taking taylor expansion of -1 in re 0.111 * [backup-simplify]: Simplify -1 into -1 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [backup-simplify]: Simplify im into im 0.111 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.111 * [backup-simplify]: Simplify (* -1 -1) into 1 0.111 * [backup-simplify]: Simplify (+ 1 0) into 1 0.112 * [backup-simplify]: Simplify (sqrt 1) into 1 0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.115 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.115 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.115 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.115 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.115 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.115 * [taylor]: Taking taylor expansion of -1 in re 0.115 * [backup-simplify]: Simplify -1 into -1 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (/ -1 1) into -1 0.115 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.115 * [taylor]: Taking taylor expansion of -1 in re 0.115 * [backup-simplify]: Simplify -1 into -1 0.115 * [taylor]: Taking taylor expansion of re in re 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ -1 1) into -1 0.116 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.116 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.116 * [taylor]: Taking taylor expansion of -1 in re 0.116 * [backup-simplify]: Simplify -1 into -1 0.116 * [taylor]: Taking taylor expansion of im in re 0.116 * [backup-simplify]: Simplify im into im 0.116 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.116 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.116 * [taylor]: Taking taylor expansion of -1 in re 0.116 * [backup-simplify]: Simplify -1 into -1 0.116 * [taylor]: Taking taylor expansion of im in re 0.116 * [backup-simplify]: Simplify im into im 0.116 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.117 * [backup-simplify]: Simplify (* -1 -1) into 1 0.117 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [backup-simplify]: Simplify (sqrt 1) into 1 0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.121 * [taylor]: Taking taylor expansion of 1 in im 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.123 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.123 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.125 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.125 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.125 * [taylor]: Taking taylor expansion of 1/2 in im 0.125 * [backup-simplify]: Simplify 1/2 into 1/2 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.125 * [taylor]: Taking taylor expansion of im in im 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.131 * * * [progress]: simplifying candidates 0.132 * [simplify]: Simplifying: (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (* -1 re) 0.132 * * [simplify]: Extracting # 0 : cost 0 0.132 * * [simplify]: Extracting # 1 : cost 0 0.132 * * [simplify]: Extracting # 2 : cost 0 0.132 * * [simplify]: Extracting # 3 : cost 0 0.132 * * [simplify]: iteration 0 : 17 enodes (cost 60 ) 0.136 * * [simplify]: Extracting # 0 : cost 0 0.136 * * [simplify]: Extracting # 1 : cost 0 0.136 * * [simplify]: iteration 1 : 22 enodes (cost 58 ) 0.141 * * [simplify]: Extracting # 0 : cost 0 0.141 * * [simplify]: Extracting # 1 : cost 0 0.141 * * [simplify]: Extracting # 2 : cost 0 0.141 * * [simplify]: iteration 2 : 25 enodes (cost 52 ) 0.147 * * [simplify]: Extracting # 0 : cost 0 0.147 * * [simplify]: Extracting # 1 : cost 0 0.147 * * [simplify]: Extracting # 2 : cost 0 0.147 * * [simplify]: Extracting # 3 : cost 0 0.147 * * [simplify]: Extracting # 4 : cost 0 0.147 * * [simplify]: iteration 3 : 30 enodes (cost 52 ) 0.154 * * [simplify]: Extracting # 0 : cost 0 0.154 * * [simplify]: Extracting # 1 : cost 0 0.154 * * [simplify]: Extracting # 2 : cost 0 0.154 * * [simplify]: Extracting # 3 : cost 0 0.154 * * [simplify]: Extracting # 4 : cost 0 0.155 * * [simplify]: iteration 4 : 36 enodes (cost 52 ) 0.162 * * [simplify]: Extracting # 0 : cost 0 0.163 * * [simplify]: Extracting # 1 : cost 0 0.163 * * [simplify]: Extracting # 2 : cost 0 0.163 * * [simplify]: Extracting # 3 : cost 0 0.163 * * [simplify]: Extracting # 4 : cost 0 0.163 * * [simplify]: iteration 5 : 46 enodes (cost 52 ) 0.174 * * [simplify]: Extracting # 0 : cost 0 0.174 * * [simplify]: Extracting # 1 : cost 0 0.174 * * [simplify]: Extracting # 2 : cost 0 0.174 * * [simplify]: Extracting # 3 : cost 0 0.174 * * [simplify]: iteration 6 : 67 enodes (cost 52 ) 0.197 * * [simplify]: Extracting # 0 : cost 0 0.198 * * [simplify]: Extracting # 1 : cost 0 0.198 * * [simplify]: Extracting # 2 : cost 0 0.198 * * [simplify]: Extracting # 3 : cost 0 0.198 * * [simplify]: iteration 7 : 146 enodes (cost 52 ) 0.285 * * [simplify]: Extracting # 0 : cost 0 0.286 * * [simplify]: Extracting # 1 : cost 0 0.286 * * [simplify]: Extracting # 2 : cost 0 0.287 * * [simplify]: Extracting # 3 : cost 0 0.287 * * [simplify]: Extracting # 4 : cost 0 0.287 * * [simplify]: iteration 8 : 431 enodes (cost 52 ) 1.079 * * [simplify]: Extracting # 0 : cost 0 1.081 * * [simplify]: Extracting # 1 : cost 0 1.083 * * [simplify]: Extracting # 2 : cost 0 1.085 * * [simplify]: Extracting # 3 : cost 0 1.086 * * [simplify]: Extracting # 4 : cost 0 1.088 * * [simplify]: iteration 9 : 1841 enodes (cost 52 ) 1.984 * * [simplify]: Extracting # 0 : cost 0 1.988 * * [simplify]: Extracting # 1 : cost 0 1.993 * * [simplify]: Extracting # 2 : cost 0 1.998 * * [simplify]: Extracting # 3 : cost 0 2.003 * * [simplify]: iteration done: 5001 enodes (cost 52 ) 2.004 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (- re) 2.004 * * * [progress]: adding candidates to table 2.037 * * [progress]: iteration 2 / 4 2.037 * * * [progress]: picking best candidate 2.039 * * * * [pick]: Picked # 2.039 * * * [progress]: localizing error 2.045 * * * [progress]: generating rewritten candidates 2.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.055 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.065 * * * [progress]: generating series expansions 2.065 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.065 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.065 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.065 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.065 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.065 * [taylor]: Taking taylor expansion of re in im 2.065 * [backup-simplify]: Simplify re into re 2.065 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.065 * [taylor]: Taking taylor expansion of im in im 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.065 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.066 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.066 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.066 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.066 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.066 * [taylor]: Taking taylor expansion of re in re 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.066 * [taylor]: Taking taylor expansion of im in re 2.066 * [backup-simplify]: Simplify im into im 2.066 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.067 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.067 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.067 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.067 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.067 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.067 * [taylor]: Taking taylor expansion of re in re 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.067 * [taylor]: Taking taylor expansion of im in re 2.067 * [backup-simplify]: Simplify im into im 2.067 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.067 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.067 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.068 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.068 * [taylor]: Taking taylor expansion of im in im 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [taylor]: Taking taylor expansion of 0 in im 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (* 1 1) into 1 2.069 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.069 * [backup-simplify]: Simplify (+ 1 0) into 1 2.070 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.070 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.070 * [taylor]: Taking taylor expansion of 1/2 in im 2.070 * [backup-simplify]: Simplify 1/2 into 1/2 2.070 * [taylor]: Taking taylor expansion of im in im 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.072 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.072 * [taylor]: Taking taylor expansion of 0 in im 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.073 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.073 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.073 * [taylor]: Taking taylor expansion of im in im 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (* 1 1) into 1 2.074 * [backup-simplify]: Simplify (/ 1 1) into 1 2.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.074 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.074 * [taylor]: Taking taylor expansion of re in im 2.074 * [backup-simplify]: Simplify re into re 2.074 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.074 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.074 * [backup-simplify]: Simplify (+ 1 0) into 1 2.074 * [backup-simplify]: Simplify (sqrt 1) into 1 2.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.076 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 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 2.077 * [backup-simplify]: Simplify (* 1 1) into 1 2.077 * [backup-simplify]: Simplify (/ 1 1) into 1 2.077 * [backup-simplify]: Simplify (+ 0 1) into 1 2.078 * [backup-simplify]: Simplify (sqrt 1) into 1 2.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ 0 0) into 0 2.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.079 * [taylor]: Taking taylor expansion of im in re 2.079 * [backup-simplify]: Simplify im into im 2.079 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.079 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.079 * [taylor]: Taking taylor expansion of re in re 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (* 1 1) into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.080 * [backup-simplify]: Simplify (+ 0 1) into 1 2.080 * [backup-simplify]: Simplify (sqrt 1) into 1 2.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (+ 0 0) into 0 2.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.082 * [taylor]: Taking taylor expansion of 1 in im 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [taylor]: Taking taylor expansion of 0 in im 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.085 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.085 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.085 * [taylor]: Taking taylor expansion of 1/2 in im 2.085 * [backup-simplify]: Simplify 1/2 into 1/2 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 2.085 * [backup-simplify]: Simplify (* 1 1) into 1 2.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.088 * [taylor]: Taking taylor expansion of 0 in im 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.090 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.090 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.090 * [taylor]: Taking taylor expansion of im in im 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (* 1 1) into 1 2.091 * [backup-simplify]: Simplify (/ 1 1) into 1 2.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.091 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.091 * [taylor]: Taking taylor expansion of re in im 2.091 * [backup-simplify]: Simplify re into re 2.091 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.091 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.091 * [backup-simplify]: Simplify (+ 1 0) into 1 2.091 * [backup-simplify]: Simplify (sqrt 1) into 1 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.093 * [taylor]: Taking taylor expansion of im in re 2.093 * [backup-simplify]: Simplify im into im 2.093 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.093 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.093 * [taylor]: Taking taylor expansion of re in re 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (* 1 1) into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [backup-simplify]: Simplify (+ 0 1) into 1 2.094 * [backup-simplify]: Simplify (sqrt 1) into 1 2.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (+ 0 0) into 0 2.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.096 * [taylor]: Taking taylor expansion of im in re 2.096 * [backup-simplify]: Simplify im into im 2.096 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.096 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.096 * [taylor]: Taking taylor expansion of re in re 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (* 1 1) into 1 2.097 * [backup-simplify]: Simplify (/ 1 1) into 1 2.097 * [backup-simplify]: Simplify (+ 0 1) into 1 2.097 * [backup-simplify]: Simplify (sqrt 1) into 1 2.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.099 * [taylor]: Taking taylor expansion of 1 in im 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [taylor]: Taking taylor expansion of 0 in im 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.101 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.101 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.102 * [taylor]: Taking taylor expansion of 1/2 in im 2.102 * [backup-simplify]: Simplify 1/2 into 1/2 2.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.102 * [taylor]: Taking taylor expansion of im in im 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (* 1 1) into 1 2.102 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.105 * [taylor]: Taking taylor expansion of 0 in im 2.105 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.107 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.107 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 2.107 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 2.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.107 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.107 * [taylor]: Taking taylor expansion of re in im 2.107 * [backup-simplify]: Simplify re into re 2.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.107 * [taylor]: Taking taylor expansion of im in im 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.107 * [taylor]: Taking taylor expansion of im in re 2.107 * [backup-simplify]: Simplify im into im 2.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.107 * [taylor]: Taking taylor expansion of im in re 2.107 * [backup-simplify]: Simplify im into im 2.107 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.107 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.107 * [taylor]: Taking taylor expansion of im in im 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [taylor]: Taking taylor expansion of 0 in im 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify (* 1 1) into 1 2.108 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.109 * [backup-simplify]: Simplify (+ 1 0) into 1 2.109 * [taylor]: Taking taylor expansion of 1 in im 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (* 1 1) into 1 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.110 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.110 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [taylor]: Taking taylor expansion of 0 in im 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.119 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 2.119 * [backup-simplify]: Simplify (+ 0 0) into 0 2.119 * [taylor]: Taking taylor expansion of 0 in im 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 2.120 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 2.120 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 2.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.120 * [taylor]: Taking taylor expansion of im in im 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (* 1 1) into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.121 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.121 * [taylor]: Taking taylor expansion of re in im 2.121 * [backup-simplify]: Simplify re into re 2.121 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.122 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.122 * [taylor]: Taking taylor expansion of im in re 2.122 * [backup-simplify]: Simplify im into im 2.122 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.122 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.122 * [taylor]: Taking taylor expansion of re in re 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (* 1 1) into 1 2.123 * [backup-simplify]: Simplify (/ 1 1) into 1 2.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.123 * [taylor]: Taking taylor expansion of im in re 2.123 * [backup-simplify]: Simplify im into im 2.123 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.123 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.123 * [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 2.125 * [backup-simplify]: Simplify (+ 0 1) 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 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [taylor]: Taking taylor expansion of 0 in im 2.127 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.129 * [taylor]: Taking taylor expansion of im in im 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (* 1 1) into 1 2.130 * [backup-simplify]: Simplify (/ 1 1) into 1 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 1)) into 0 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 2.135 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [taylor]: Taking taylor expansion of 0 in im 2.137 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 2.139 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 2.139 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 2.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.140 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.140 * [taylor]: Taking taylor expansion of re in im 2.140 * [backup-simplify]: Simplify re into re 2.140 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.140 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.140 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.140 * [taylor]: Taking taylor expansion of im in re 2.140 * [backup-simplify]: Simplify im into im 2.140 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.140 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.140 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.140 * [taylor]: Taking taylor expansion of re in re 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (* 1 1) into 1 2.141 * [backup-simplify]: Simplify (/ 1 1) into 1 2.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.141 * [taylor]: Taking taylor expansion of im in re 2.141 * [backup-simplify]: Simplify im into im 2.141 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.141 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.141 * [taylor]: Taking taylor expansion of re in re 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (* 1 1) into 1 2.142 * [backup-simplify]: Simplify (/ 1 1) into 1 2.142 * [backup-simplify]: Simplify (+ 0 1) into 1 2.142 * [taylor]: Taking taylor expansion of 1 in im 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (+ 0 0) into 0 2.143 * [taylor]: Taking taylor expansion of 0 in im 2.143 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.144 * [taylor]: Taking taylor expansion of im in im 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (* 1 1) into 1 2.145 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (+ 0 0) into 0 2.147 * [taylor]: Taking taylor expansion of 0 in im 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 2.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [taylor]: Taking taylor expansion of 0 in im 2.150 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 2.152 * * * [progress]: simplifying candidates 2.152 * [simplify]: Simplifying: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 2.153 * * [simplify]: Extracting # 0 : cost 0 2.153 * * [simplify]: Extracting # 1 : cost 0 2.153 * * [simplify]: Extracting # 2 : cost 0 2.153 * * [simplify]: Extracting # 3 : cost 0 2.153 * * [simplify]: Extracting # 4 : cost 0 2.153 * * [simplify]: Extracting # 5 : cost 0 2.153 * * [simplify]: iteration 0 : 52 enodes (cost 413 ) 2.164 * * [simplify]: Extracting # 0 : cost 0 2.165 * * [simplify]: Extracting # 1 : cost 0 2.165 * * [simplify]: Extracting # 2 : cost 0 2.165 * * [simplify]: Extracting # 3 : cost 0 2.165 * * [simplify]: Extracting # 4 : cost 0 2.165 * * [simplify]: iteration 1 : 134 enodes (cost 285 ) 2.226 * * [simplify]: Extracting # 0 : cost 0 2.226 * * [simplify]: Extracting # 1 : cost 0 2.227 * * [simplify]: Extracting # 2 : cost 0 2.228 * * [simplify]: Extracting # 3 : cost 0 2.228 * * [simplify]: Extracting # 4 : cost 0 2.229 * * [simplify]: iteration 2 : 396 enodes (cost 237 ) 2.531 * * [simplify]: Extracting # 0 : cost 0 2.533 * * [simplify]: Extracting # 1 : cost 0 2.535 * * [simplify]: Extracting # 2 : cost 0 2.537 * * [simplify]: Extracting # 3 : cost 0 2.539 * * [simplify]: Extracting # 4 : cost 0 2.541 * * [simplify]: iteration 3 : 1156 enodes (cost 233 ) 3.893 * * [simplify]: Extracting # 0 : cost 0 3.897 * * [simplify]: Extracting # 1 : cost 0 3.908 * * [simplify]: Extracting # 2 : cost 0 3.914 * * [simplify]: Extracting # 3 : cost 0 3.920 * * [simplify]: Extracting # 4 : cost 0 3.925 * * [simplify]: iteration 4 : 3429 enodes (cost 233 ) 5.299 * * [simplify]: Extracting # 0 : cost 0 5.309 * * [simplify]: Extracting # 1 : cost 0 5.319 * * [simplify]: Extracting # 2 : cost 0 5.329 * * [simplify]: Extracting # 3 : cost 0 5.336 * * [simplify]: iteration done: 5000 enodes (cost 233 ) 5.336 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (fabs (cbrt (fma re re (* im im)))) (sqrt (cbrt (fma re re (* im im)))) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (fma (* im im) (- (* im im) (* re re)) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (fma re re (* im im))) (log1p (fma re re (* im im))) (exp (fma re re (* im im))) (* 2 (log (hypot re im))) (exp (fma re re (* im im))) (* (cbrt (fma re re (* im im))) (cbrt (fma re re (* im im)))) (cbrt (fma re re (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (+ (pow re 6) (pow im 6)) (fma (* im im) (- (* im im) (* re re)) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 5.336 * * * [progress]: adding candidates to table 5.479 * [progress]: [Phase 3 of 3] Extracting. 5.479 * * [regime]: Finding splitpoints for: (# #) 5.479 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 5.479 * * * * [regimes]: Trying to branch on (* im im) from (# #) 5.501 * * * * [regimes]: Trying to branch on (* re re) from (# #) 5.511 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 5.525 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 5.548 * * * * [regimes]: Trying to branch on im from (# #) 5.572 * * * * [regimes]: Trying to branch on re from (# #) 5.598 * * * [regime]: Found split indices: #