6.322 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.030 * * * [progress]: [2/2] Setting up program.
0.046 * [progress]: [Phase 2 of 3] Improving.
0.046 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
0.046 * [simplify]: Simplifying:
  (sqrt (+ (* re re) (* im im)))
0.047 * * [simplify]: iteration 0: 6 enodes
0.059 * * [simplify]: iteration 1: 7 enodes
0.066 * * [simplify]: iteration complete: 7 enodes
0.067 * * [simplify]: Extracting #0: cost 1 inf + 0
0.067 * * [simplify]: Extracting #1: cost 2 inf + 0
0.067 * * [simplify]: Extracting #2: cost 4 inf + 0
0.067 * * [simplify]: Extracting #3: cost 6 inf + 0
0.067 * * [simplify]: Extracting #4: cost 3 inf + 43
0.067 * * [simplify]: Extracting #5: cost 0 inf + 368
0.067 * [simplify]: Simplified to:
  (sqrt (+ (* re re) (* im im)))
0.070 * * [progress]: iteration 1 / 4
0.070 * * * [progress]: picking best candidate
0.086 * * * * [pick]: Picked  #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
0.086 * * * [progress]: localizing error
0.112 * * * [progress]: generating rewritten candidates
0.112 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.129 * * * [progress]: generating series expansions
0.129 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.129 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.129 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.129 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.129 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.129 * [taylor]: Taking taylor expansion of im in im
0.129 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.130 * [taylor]: Taking taylor expansion of re in im
0.130 * [backup-simplify]: Simplify re into re
0.130 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.130 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.130 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.130 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.131 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.131 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.131 * [taylor]: Taking taylor expansion of im in re
0.131 * [backup-simplify]: Simplify im into im
0.131 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.131 * [taylor]: Taking taylor expansion of re in re
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.132 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.132 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.132 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.132 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.133 * [taylor]: Taking taylor expansion of im in re
0.133 * [backup-simplify]: Simplify im into im
0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.133 * [taylor]: Taking taylor expansion of re in re
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.133 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.133 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.133 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.134 * [taylor]: Taking taylor expansion of im in im
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [taylor]: Taking taylor expansion of 0 in im
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.135 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.135 * [backup-simplify]: Simplify (* 1 1) into 1
0.135 * [backup-simplify]: Simplify (+ 0 1) into 1
0.136 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.136 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.136 * [taylor]: Taking taylor expansion of 1/2 in im
0.136 * [backup-simplify]: Simplify 1/2 into 1/2
0.136 * [taylor]: Taking taylor expansion of im in im
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.138 * [taylor]: Taking taylor expansion of 0 in im
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.140 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.140 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.140 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.140 * [taylor]: Taking taylor expansion of re in im
0.140 * [backup-simplify]: Simplify re into re
0.140 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.140 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.140 * [taylor]: Taking taylor expansion of im in im
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.141 * [backup-simplify]: Simplify (/ 1 1) into 1
0.141 * [backup-simplify]: Simplify (+ 0 1) into 1
0.141 * [backup-simplify]: Simplify (sqrt 1) into 1
0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.143 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.143 * [taylor]: Taking taylor expansion of re in re
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
0.144 * [backup-simplify]: Simplify (/ 1 1) into 1
0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.144 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.144 * [taylor]: Taking taylor expansion of im in re
0.144 * [backup-simplify]: Simplify im into im
0.144 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.144 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.144 * [backup-simplify]: Simplify (+ 1 0) into 1
0.145 * [backup-simplify]: Simplify (sqrt 1) into 1
0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.146 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.146 * [taylor]: Taking taylor expansion of re in re
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (* 1 1) into 1
0.147 * [backup-simplify]: Simplify (/ 1 1) into 1
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.147 * [taylor]: Taking taylor expansion of im in re
0.147 * [backup-simplify]: Simplify im into im
0.147 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.147 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.148 * [backup-simplify]: Simplify (+ 1 0) into 1
0.148 * [backup-simplify]: Simplify (sqrt 1) into 1
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.150 * [taylor]: Taking taylor expansion of 1 in im
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [taylor]: Taking taylor expansion of 0 in im
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.152 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.152 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.152 * [taylor]: Taking taylor expansion of 1/2 in im
0.152 * [backup-simplify]: Simplify 1/2 into 1/2
0.152 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.152 * [taylor]: Taking taylor expansion of im in im
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (* 1 1) into 1
0.153 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.160 * [taylor]: Taking taylor expansion of 0 in im
0.160 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.164 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.164 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.164 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.164 * [taylor]: Taking taylor expansion of re in im
0.164 * [backup-simplify]: Simplify re into re
0.165 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.165 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.165 * [taylor]: Taking taylor expansion of im in im
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 1 into 1
0.166 * [backup-simplify]: Simplify (* 1 1) into 1
0.166 * [backup-simplify]: Simplify (/ 1 1) into 1
0.167 * [backup-simplify]: Simplify (+ 0 1) into 1
0.167 * [backup-simplify]: Simplify (sqrt 1) into 1
0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.169 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.170 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.170 * [taylor]: Taking taylor expansion of re in re
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [backup-simplify]: Simplify (* 1 1) into 1
0.171 * [backup-simplify]: Simplify (/ 1 1) into 1
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.171 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.171 * [taylor]: Taking taylor expansion of im in re
0.171 * [backup-simplify]: Simplify im into im
0.171 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.171 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.172 * [backup-simplify]: Simplify (+ 1 0) into 1
0.172 * [backup-simplify]: Simplify (sqrt 1) into 1
0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (+ 0 0) into 0
0.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.175 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.175 * [taylor]: Taking taylor expansion of re in re
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.176 * [backup-simplify]: Simplify (* 1 1) into 1
0.176 * [backup-simplify]: Simplify (/ 1 1) into 1
0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.176 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.176 * [taylor]: Taking taylor expansion of im in re
0.176 * [backup-simplify]: Simplify im into im
0.177 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.177 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.177 * [backup-simplify]: Simplify (+ 1 0) into 1
0.178 * [backup-simplify]: Simplify (sqrt 1) into 1
0.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.181 * [taylor]: Taking taylor expansion of 1 in im
0.181 * [backup-simplify]: Simplify 1 into 1
0.181 * [taylor]: Taking taylor expansion of 0 in im
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.184 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.185 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.185 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.185 * [taylor]: Taking taylor expansion of 1/2 in im
0.185 * [backup-simplify]: Simplify 1/2 into 1/2
0.185 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.185 * [taylor]: Taking taylor expansion of im in im
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify (* 1 1) into 1
0.186 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.190 * [backup-simplify]: Simplify (+ 0 0) into 0
0.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.190 * [taylor]: Taking taylor expansion of 0 in im
0.190 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.192 * * * [progress]: simplifying candidates
0.192 * * * * [progress]: [ 1 / 19 ] simplifiying candidate #<alt (λ (re im) (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))>
0.192 * * * * [progress]: [ 2 / 19 ] simplifiying candidate #<alt (λ (re im) (pow (+ (* re re) (* im im)) 1/2))>
0.192 * * * * [progress]: [ 3 / 19 ] simplifiying candidate #<alt (λ (re im) (pow (sqrt (+ (* re re) (* im im))) 1))>
0.192 * * * * [progress]: [ 4 / 19 ] simplifiying candidate #<alt (λ (re im) (exp (log (sqrt (+ (* re re) (* im im))))))>
0.192 * * * * [progress]: [ 5 / 19 ] simplifiying candidate #<alt (λ (re im) (log (exp (sqrt (+ (* re re) (* im im))))))>
0.192 * * * * [progress]: [ 6 / 19 ] simplifiying candidate #<alt (λ (re im) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))>
0.192 * * * * [progress]: [ 7 / 19 ] simplifiying candidate #<alt (λ (re im) (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))>
0.192 * * * * [progress]: [ 8 / 19 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))>
0.192 * * * * [progress]: [ 9 / 19 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>
0.192 * * * * [progress]: [ 10 / 19 ] simplifiying candidate #<alt (λ (re im) (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))>
0.192 * * * * [progress]: [ 11 / 19 ] simplifiying candidate #<alt (λ (re im) (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))>
0.192 * * * * [progress]: [ 12 / 19 ] simplifiying candidate #<alt (λ (re im) (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))>
0.193 * * * * [progress]: [ 13 / 19 ] simplifiying candidate #<alt (λ (re im) (pow (+ (* re re) (* im im)) (/ 1 2)))>
0.193 * * * * [progress]: [ 14 / 19 ] simplifiying candidate #<alt (λ (re im) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))>
0.193 * * * * [progress]: [ 15 / 19 ] simplifiying candidate #<alt (λ (re im) (fabs (sqrt (+ (* re re) (* im im)))))>
0.193 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #<alt (λ (re im) (* 1 (sqrt (+ (* re re) (* im im)))))>
0.193 * * * * [progress]: [ 17 / 19 ] simplifiying candidate #<alt (λ (re im) im)>
0.193 * * * * [progress]: [ 18 / 19 ] simplifiying candidate #<alt (λ (re im) re)>
0.193 * * * * [progress]: [ 19 / 19 ] simplifiying candidate #<alt (λ (re im) (* -1 re))>
0.193 * [simplify]: Simplifying:
  (real->posit16 (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))))
  im
  re
  (* -1 re)
0.194 * * [simplify]: iteration 0: 39 enodes
0.226 * * [simplify]: iteration 1: 92 enodes
0.297 * * [simplify]: iteration 2: 196 enodes
0.540 * * [simplify]: iteration 3: 433 enodes
1.035 * * [simplify]: iteration 4: 991 enodes
2.729 * * [simplify]: iteration 5: 3240 enodes
6.237 * * [simplify]: iteration complete: 5000 enodes
6.237 * * [simplify]: Extracting #0: cost 19 inf + 0
6.237 * * [simplify]: Extracting #1: cost 43 inf + 45
6.238 * * [simplify]: Extracting #2: cost 188 inf + 49
6.241 * * [simplify]: Extracting #3: cost 827 inf + 6053
6.261 * * [simplify]: Extracting #4: cost 843 inf + 66933
6.309 * * [simplify]: Extracting #5: cost 437 inf + 174105
6.359 * * [simplify]: Extracting #6: cost 267 inf + 252891
6.422 * * [simplify]: Extracting #7: cost 87 inf + 352605
6.493 * * [simplify]: Extracting #8: cost 12 inf + 378395
6.565 * * [simplify]: Extracting #9: cost 0 inf + 381871
6.621 * [simplify]: Simplified to:
  (real->posit16 (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))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* re (* re re)) (* re (* re re)))))
  (sqrt (- (* (* im im) (* im im)) (* (- (* im im) (* re re)) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
6.622 * * * [progress]: adding candidates to table
6.780 * * [progress]: iteration 2 / 4
6.780 * * * [progress]: picking best candidate
6.809 * * * * [pick]: Picked  #<alt (λ (re im) re)>
6.809 * * * [progress]: localizing error
6.811 * * * [progress]: generating rewritten candidates
6.811 * * * [progress]: generating series expansions
6.811 * * * [progress]: simplifying candidates
6.812 * [simplify]: Simplifying:
  
6.812 * * [simplify]: iteration 0: 0 enodes
6.812 * * [simplify]: iteration complete: 0 enodes
6.812 * * [simplify]: Extracting #0: cost 0 inf + 0
6.812 * [simplify]: Simplified to:
  
6.812 * * * [progress]: adding candidates to table
6.813 * * [progress]: iteration 3 / 4
6.813 * * * [progress]: picking best candidate
6.836 * * * * [pick]: Picked  #<alt (λ (re im) im)>
6.837 * * * [progress]: localizing error
6.839 * * * [progress]: generating rewritten candidates
6.839 * * * [progress]: generating series expansions
6.839 * * * [progress]: simplifying candidates
6.839 * [simplify]: Simplifying:
  
6.839 * * [simplify]: iteration 0: 0 enodes
6.839 * * [simplify]: iteration complete: 0 enodes
6.839 * * [simplify]: Extracting #0: cost 0 inf + 0
6.839 * [simplify]: Simplified to:
  
6.839 * * * [progress]: adding candidates to table
6.841 * * [progress]: iteration 4 / 4
6.841 * * * [progress]: picking best candidate
6.853 * * * * [pick]: Picked  #<alt (λ (re im) (- re))>
6.853 * * * [progress]: localizing error
6.859 * * * [progress]: generating rewritten candidates
6.859 * * * [progress]: generating series expansions
6.859 * * * [progress]: simplifying candidates
6.859 * [simplify]: Simplifying:
  
6.859 * * [simplify]: iteration 0: 0 enodes
6.859 * * [simplify]: iteration complete: 0 enodes
6.859 * * [simplify]: Extracting #0: cost 0 inf + 0
6.859 * [simplify]: Simplified to:
  
6.859 * * * [progress]: adding candidates to table
6.861 * [progress]: [Phase 3 of 3] Extracting.
6.861 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
6.862 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re)
6.862 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
6.985 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
7.107 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
7.234 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) im)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
7.356 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
7.484 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
7.639 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
7.796 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
7.907 * * * [regime]: Found split indices: #<option (#s(si 1 28) #s(si 2 196) #s(si 3 255))>
7.907 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
7.969 * [regimes]: Found splitpoints: (#s(sp 1 re -2.6008532152452964e+111) #s(sp 2 re 2.9670775722691427e+83) #s(sp 3 re +nan.0)) , with alts (#<alt (λ (re im) im)> #<alt (λ (re im) (- re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
7.969 * [simplify]: Simplifying:
  (if (<= re -2.6008532152452964e+111) (- re) (if (<= re 2.9670775722691427e+83) (sqrt (+ (* re re) (* im im))) re))
7.969 * * [simplify]: iteration 0: 13 enodes
7.971 * * [simplify]: iteration 1: 14 enodes
7.973 * * [simplify]: iteration complete: 14 enodes
7.973 * * [simplify]: Extracting #0: cost 1 inf + 0
7.973 * * [simplify]: Extracting #1: cost 4 inf + 0
7.973 * * [simplify]: Extracting #2: cost 8 inf + 0
7.973 * * [simplify]: Extracting #3: cost 8 inf + 2
7.973 * * [simplify]: Extracting #4: cost 6 inf + 178
7.973 * * [simplify]: Extracting #5: cost 6 inf + 219
7.973 * * [simplify]: Extracting #6: cost 5 inf + 220
7.973 * * [simplify]: Extracting #7: cost 3 inf + 383
7.973 * * [simplify]: Extracting #8: cost 1 inf + 838
7.974 * * [simplify]: Extracting #9: cost 0 inf + 1302
7.974 * [simplify]: Simplified to:
  (if (<= re -2.6008532152452964e+111) (- re) (if (<= re 2.9670775722691427e+83) (sqrt (+ (* im im) (* re re))) re))
10.166 * [regime-testing]: Baseline error score: 31.579414029714744
10.198 * [regime-testing]: Oracle error score: 7.7430769098705285
10.245 * [regime-testing]: End program error score: 17.695713654317775