42.808 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: Extracting # 1 : cost 0 0.037 * * [simplify]: Extracting # 2 : cost 0 0.037 * * [simplify]: Extracting # 3 : cost 0 0.037 * * [simplify]: Extracting # 4 : cost 0 0.037 * * [simplify]: Extracting # 5 : cost 0 0.037 * * [simplify]: Extracting # 6 : cost 0 0.037 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 0.039 * * [simplify]: Extracting # 1 : cost 0 0.039 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: iteration 2 : 12 enodes (cost 4 ) 0.045 * * [simplify]: Extracting # 0 : cost 0 0.045 * * [simplify]: iteration done: 12 enodes (cost 4 ) 0.045 * [simplify]: Simplified to: (log (hypot re im)) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.067 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.067 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.067 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.068 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.068 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.068 * [taylor]: Taking taylor expansion of (* re re) in im 0.068 * [taylor]: Taking taylor expansion of re in im 0.068 * [backup-simplify]: Simplify re into re 0.068 * [taylor]: Taking taylor expansion of re in im 0.068 * [backup-simplify]: Simplify re into re 0.068 * [taylor]: Taking taylor expansion of (* im im) in im 0.068 * [taylor]: Taking taylor expansion of im in im 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [taylor]: Taking taylor expansion of im in im 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.069 * [backup-simplify]: Simplify (* 0 0) into 0 0.069 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.069 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.069 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.070 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.070 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.070 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.071 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.071 * [taylor]: Taking taylor expansion of (* re re) in re 0.071 * [taylor]: Taking taylor expansion of re in re 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of re in re 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of (* im im) in re 0.071 * [taylor]: Taking taylor expansion of im in re 0.071 * [backup-simplify]: Simplify im into im 0.071 * [taylor]: Taking taylor expansion of im in re 0.071 * [backup-simplify]: Simplify im into im 0.071 * [backup-simplify]: Simplify (* 0 0) into 0 0.071 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.071 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.072 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.072 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.073 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.073 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.073 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.073 * [taylor]: Taking taylor expansion of (* re re) in re 0.073 * [taylor]: Taking taylor expansion of re in re 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of re in re 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (* im im) in re 0.073 * [taylor]: Taking taylor expansion of im in re 0.073 * [backup-simplify]: Simplify im into im 0.073 * [taylor]: Taking taylor expansion of im in re 0.074 * [backup-simplify]: Simplify im into im 0.074 * [backup-simplify]: Simplify (* 0 0) into 0 0.074 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.074 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.074 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.075 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.076 * [taylor]: Taking taylor expansion of im in im 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [taylor]: Taking taylor expansion of 0 in im 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.077 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.078 * [backup-simplify]: Simplify (+ 1 0) into 1 0.078 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.078 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.078 * [taylor]: Taking taylor expansion of 1/2 in im 0.078 * [backup-simplify]: Simplify 1/2 into 1/2 0.079 * [taylor]: Taking taylor expansion of im in im 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.082 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.082 * [taylor]: Taking taylor expansion of 0 in im 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.084 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.084 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.084 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.084 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.084 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.084 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.084 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.084 * [taylor]: Taking taylor expansion of re in im 0.084 * [backup-simplify]: Simplify re into re 0.084 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.084 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.084 * [taylor]: Taking taylor expansion of re in im 0.084 * [backup-simplify]: Simplify re into re 0.085 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.085 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.085 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (+ 0 1) into 1 0.087 * [backup-simplify]: Simplify (sqrt 1) into 1 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.090 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.090 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.090 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.090 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.090 * [taylor]: Taking taylor expansion of re in re 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.091 * [taylor]: Taking taylor expansion of re in re 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.091 * [taylor]: Taking taylor expansion of im in re 0.091 * [backup-simplify]: Simplify im into im 0.092 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.092 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.092 * [taylor]: Taking taylor expansion of im in re 0.092 * [backup-simplify]: Simplify im into im 0.092 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [backup-simplify]: Simplify (sqrt 1) into 1 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.096 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.096 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.096 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.096 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [backup-simplify]: Simplify im into im 0.098 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.098 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [backup-simplify]: Simplify im into im 0.098 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.098 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (+ 1 0) into 1 0.099 * [backup-simplify]: Simplify (sqrt 1) into 1 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.102 * [taylor]: Taking taylor expansion of 1 in im 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of 0 in im 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.106 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.106 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.107 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.107 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.107 * [taylor]: Taking taylor expansion of 1/2 in im 0.108 * [backup-simplify]: Simplify 1/2 into 1/2 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.108 * [taylor]: Taking taylor expansion of im in im 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.114 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in im 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.118 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.118 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.118 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.118 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.118 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.118 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.118 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.118 * [taylor]: Taking taylor expansion of -1 in im 0.118 * [backup-simplify]: Simplify -1 into -1 0.118 * [taylor]: Taking taylor expansion of re in im 0.118 * [backup-simplify]: Simplify re into re 0.118 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.118 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.118 * [taylor]: Taking taylor expansion of -1 in im 0.118 * [backup-simplify]: Simplify -1 into -1 0.118 * [taylor]: Taking taylor expansion of re in im 0.118 * [backup-simplify]: Simplify re into re 0.118 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.118 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.118 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.118 * [taylor]: Taking taylor expansion of -1 in im 0.118 * [backup-simplify]: Simplify -1 into -1 0.118 * [taylor]: Taking taylor expansion of im in im 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ -1 1) into -1 0.119 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.119 * [taylor]: Taking taylor expansion of -1 in im 0.119 * [backup-simplify]: Simplify -1 into -1 0.119 * [taylor]: Taking taylor expansion of im in im 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ -1 1) into -1 0.120 * [backup-simplify]: Simplify (* -1 -1) into 1 0.120 * [backup-simplify]: Simplify (+ 0 1) into 1 0.121 * [backup-simplify]: Simplify (sqrt 1) into 1 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.124 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.124 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.124 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.124 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.124 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.124 * [taylor]: Taking taylor expansion of -1 in re 0.124 * [backup-simplify]: Simplify -1 into -1 0.125 * [taylor]: Taking taylor expansion of re in re 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 0.125 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.125 * [taylor]: Taking taylor expansion of -1 in re 0.125 * [backup-simplify]: Simplify -1 into -1 0.125 * [taylor]: Taking taylor expansion of re in re 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (/ -1 1) into -1 0.126 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.126 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.126 * [taylor]: Taking taylor expansion of -1 in re 0.126 * [backup-simplify]: Simplify -1 into -1 0.126 * [taylor]: Taking taylor expansion of im in re 0.126 * [backup-simplify]: Simplify im into im 0.126 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.126 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.126 * [taylor]: Taking taylor expansion of -1 in re 0.126 * [backup-simplify]: Simplify -1 into -1 0.126 * [taylor]: Taking taylor expansion of im in re 0.126 * [backup-simplify]: Simplify im into im 0.126 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.127 * [backup-simplify]: Simplify (* -1 -1) into 1 0.127 * [backup-simplify]: Simplify (+ 1 0) into 1 0.127 * [backup-simplify]: Simplify (sqrt 1) into 1 0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.131 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.131 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.131 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.131 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.131 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.131 * [taylor]: Taking taylor expansion of -1 in re 0.131 * [backup-simplify]: Simplify -1 into -1 0.132 * [taylor]: Taking taylor expansion of re in re 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ -1 1) into -1 0.132 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.132 * [taylor]: Taking taylor expansion of -1 in re 0.132 * [backup-simplify]: Simplify -1 into -1 0.132 * [taylor]: Taking taylor expansion of re in re 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ -1 1) into -1 0.133 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.133 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.133 * [taylor]: Taking taylor expansion of -1 in re 0.133 * [backup-simplify]: Simplify -1 into -1 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [backup-simplify]: Simplify im into im 0.133 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.133 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.133 * [taylor]: Taking taylor expansion of -1 in re 0.133 * [backup-simplify]: Simplify -1 into -1 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [backup-simplify]: Simplify im into im 0.133 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.134 * [backup-simplify]: Simplify (* -1 -1) into 1 0.134 * [backup-simplify]: Simplify (+ 1 0) into 1 0.134 * [backup-simplify]: Simplify (sqrt 1) into 1 0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.138 * [taylor]: Taking taylor expansion of 1 in im 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of 0 in im 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.141 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.141 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.142 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.142 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.142 * [taylor]: Taking taylor expansion of 1/2 in im 0.142 * [backup-simplify]: Simplify 1/2 into 1/2 0.143 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.143 * [taylor]: Taking taylor expansion of im in im 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.148 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.148 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.150 * [taylor]: Taking taylor expansion of 0 in im 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.152 * * * [progress]: simplifying candidates 0.153 * [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) 0.153 * * [simplify]: Extracting # 0 : cost 0 0.153 * * [simplify]: Extracting # 1 : cost 0 0.153 * * [simplify]: Extracting # 2 : cost 0 0.153 * * [simplify]: Extracting # 3 : cost 0 0.153 * * [simplify]: iteration 0 : 17 enodes (cost 60 ) 0.158 * * [simplify]: Extracting # 0 : cost 0 0.158 * * [simplify]: Extracting # 1 : cost 0 0.158 * * [simplify]: iteration 1 : 22 enodes (cost 58 ) 0.164 * * [simplify]: Extracting # 0 : cost 0 0.165 * * [simplify]: Extracting # 1 : cost 0 0.165 * * [simplify]: Extracting # 2 : cost 0 0.165 * * [simplify]: iteration 2 : 25 enodes (cost 52 ) 0.183 * * [simplify]: Extracting # 0 : cost 0 0.183 * * [simplify]: Extracting # 1 : cost 0 0.183 * * [simplify]: Extracting # 2 : cost 0 0.183 * * [simplify]: Extracting # 3 : cost 0 0.183 * * [simplify]: Extracting # 4 : cost 0 0.183 * * [simplify]: iteration 3 : 30 enodes (cost 52 ) 0.192 * * [simplify]: Extracting # 0 : cost 0 0.192 * * [simplify]: Extracting # 1 : cost 0 0.192 * * [simplify]: Extracting # 2 : cost 0 0.193 * * [simplify]: Extracting # 3 : cost 0 0.193 * * [simplify]: Extracting # 4 : cost 0 0.193 * * [simplify]: iteration 4 : 36 enodes (cost 52 ) 0.203 * * [simplify]: Extracting # 0 : cost 0 0.203 * * [simplify]: Extracting # 1 : cost 0 0.203 * * [simplify]: Extracting # 2 : cost 0 0.203 * * [simplify]: Extracting # 3 : cost 0 0.203 * * [simplify]: Extracting # 4 : cost 0 0.203 * * [simplify]: iteration 5 : 46 enodes (cost 52 ) 0.217 * * [simplify]: Extracting # 0 : cost 0 0.217 * * [simplify]: Extracting # 1 : cost 0 0.218 * * [simplify]: Extracting # 2 : cost 0 0.218 * * [simplify]: Extracting # 3 : cost 0 0.218 * * [simplify]: iteration 6 : 67 enodes (cost 52 ) 0.247 * * [simplify]: Extracting # 0 : cost 0 0.248 * * [simplify]: Extracting # 1 : cost 0 0.248 * * [simplify]: Extracting # 2 : cost 0 0.248 * * [simplify]: Extracting # 3 : cost 0 0.248 * * [simplify]: iteration 7 : 146 enodes (cost 52 ) 0.312 * * [simplify]: Extracting # 0 : cost 0 0.313 * * [simplify]: Extracting # 1 : cost 0 0.314 * * [simplify]: Extracting # 2 : cost 0 0.314 * * [simplify]: Extracting # 3 : cost 0 0.315 * * [simplify]: Extracting # 4 : cost 0 0.315 * * [simplify]: iteration 8 : 431 enodes (cost 52 ) 1.226 * * [simplify]: Extracting # 0 : cost 0 1.228 * * [simplify]: Extracting # 1 : cost 0 1.230 * * [simplify]: Extracting # 2 : cost 0 1.232 * * [simplify]: Extracting # 3 : cost 0 1.235 * * [simplify]: Extracting # 4 : cost 0 1.237 * * [simplify]: iteration 9 : 1841 enodes (cost 52 ) 2.239 * * [simplify]: Extracting # 0 : cost 0 2.243 * * [simplify]: Extracting # 1 : cost 0 2.249 * * [simplify]: Extracting # 2 : cost 0 2.259 * * [simplify]: Extracting # 3 : cost 0 2.264 * * [simplify]: iteration done: 5001 enodes (cost 52 ) 2.265 * [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) 2.265 * * * [progress]: adding candidates to table 2.327 * [progress]: [Phase 3 of 3] Extracting. 2.330 * [simplify]: Simplifying: (log (hypot re im)) 2.330 * * [simplify]: Extracting # 0 : cost 0 2.330 * * [simplify]: Extracting # 1 : cost 0 2.330 * * [simplify]: Extracting # 2 : cost 0 2.330 * * [simplify]: Extracting # 3 : cost 0 2.330 * * [simplify]: Extracting # 4 : cost 0 2.330 * * [simplify]: iteration 0 : 4 enodes (cost 4 ) 2.330 * * [simplify]: Extracting # 0 : cost 0 2.331 * * [simplify]: iteration done: 4 enodes (cost 4 ) 2.331 * [simplify]: Simplified to: (log (hypot re im)) 3.333 * [regime-testing]: End program error score: 0.00012501562695336918