16.420 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.016 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.016 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.030 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.038 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.038 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.038 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.038 * [taylor]: Taking taylor expansion of re in im 0.038 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.038 * [taylor]: Taking taylor expansion of im in im 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.039 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.039 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.039 * [taylor]: Taking taylor expansion of re in re 0.039 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.039 * [taylor]: Taking taylor expansion of im in re 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.040 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.040 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.040 * [taylor]: Taking taylor expansion of re in re 0.040 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.040 * [taylor]: Taking taylor expansion of im in re 0.041 * [taylor]: Taking taylor expansion of im in im 0.041 * [taylor]: Taking taylor expansion of 0 in im 0.043 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.043 * [taylor]: Taking taylor expansion of 1/2 in im 0.043 * [taylor]: Taking taylor expansion of im in im 0.047 * [taylor]: Taking taylor expansion of 0 in im 0.048 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.048 * [taylor]: Taking taylor expansion of im in im 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.049 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.049 * [taylor]: Taking taylor expansion of re in im 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.052 * [taylor]: Taking taylor expansion of im in re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.053 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.053 * [taylor]: Taking taylor expansion of re in re 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.055 * [taylor]: Taking taylor expansion of im in re 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.056 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.056 * [taylor]: Taking taylor expansion of re in re 0.058 * [taylor]: Taking taylor expansion of 1 in im 0.058 * [taylor]: Taking taylor expansion of 0 in im 0.060 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.060 * [taylor]: Taking taylor expansion of 1/2 in im 0.060 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.060 * [taylor]: Taking taylor expansion of im in im 0.063 * [taylor]: Taking taylor expansion of 0 in im 0.065 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.065 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.065 * [taylor]: Taking taylor expansion of im in im 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.065 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.065 * [taylor]: Taking taylor expansion of re in im 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.067 * [taylor]: Taking taylor expansion of re in re 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.070 * [taylor]: Taking taylor expansion of im in re 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.070 * [taylor]: Taking taylor expansion of re in re 0.072 * [taylor]: Taking taylor expansion of 1 in im 0.072 * [taylor]: Taking taylor expansion of 0 in im 0.074 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.074 * [taylor]: Taking taylor expansion of 1/2 in im 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.074 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of 0 in im 0.078 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.078 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.079 * [taylor]: Taking taylor expansion of re in im 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.079 * [taylor]: Taking taylor expansion of im in im 0.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.079 * [taylor]: Taking taylor expansion of im in im 0.079 * [taylor]: Taking taylor expansion of 0 in im 0.080 * [taylor]: Taking taylor expansion of 1 in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.087 * [taylor]: Taking taylor expansion of im in im 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.087 * [taylor]: Taking taylor expansion of re in im 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.089 * [taylor]: Taking taylor expansion of 1 in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.091 * [taylor]: Taking taylor expansion of im in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [taylor]: Taking taylor expansion of 0 in im 0.097 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.097 * [taylor]: Taking taylor expansion of im in im 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.098 * [taylor]: Taking taylor expansion of re in im 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of 1 in im 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.107 * * * [progress]: simplifying candidates 0.108 * [simplify]: Simplifying using # : (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))) (+ (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)) 0.110 * * [simplify]: iteration 0 : 74 enodes (cost 64 ) 0.112 * * [simplify]: iteration 1 : 287 enodes (cost 60 ) 0.117 * * [simplify]: iteration 2 : 729 enodes (cost 60 ) 0.132 * * [simplify]: iteration 3 : 2796 enodes (cost 60 ) 0.208 * * [simplify]: iteration 4 : 5001 enodes (cost 60 ) 0.208 * [simplify]: Simplified to: (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))) (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4))) (+ (* (- (pow im 3)) im) (pow re 4)) (- (* 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)) 0.209 * * * [progress]: adding candidates to table 0.234 * * [progress]: iteration 2 / 4 0.234 * * * [progress]: picking best candidate 0.236 * * * * [pick]: Picked # 0.236 * * * [progress]: localizing error 0.237 * * * [progress]: generating rewritten candidates 0.237 * * * [progress]: generating series expansions 0.237 * * * [progress]: simplifying candidates 0.237 * [simplify]: Simplifying using # : 0.239 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.239 * [simplify]: Simplified to: 0.239 * * * [progress]: adding candidates to table 0.240 * * [progress]: iteration 3 / 4 0.240 * * * [progress]: picking best candidate 0.241 * * * * [pick]: Picked # 0.241 * * * [progress]: localizing error 0.246 * * * [progress]: generating rewritten candidates 0.246 * * * [progress]: generating series expansions 0.246 * * * [progress]: simplifying candidates 0.247 * [simplify]: Simplifying using # : 0.249 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.249 * [simplify]: Simplified to: 0.249 * * * [progress]: adding candidates to table 0.249 * * [progress]: iteration 4 / 4 0.249 * * * [progress]: picking best candidate 0.250 * * * * [pick]: Picked # 0.250 * * * [progress]: localizing error 0.251 * * * [progress]: generating rewritten candidates 0.251 * * * [progress]: generating series expansions 0.251 * * * [progress]: simplifying candidates 0.251 * [simplify]: Simplifying using # : 0.253 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.253 * [simplify]: Simplified to: 0.253 * * * [progress]: adding candidates to table 0.254 * [progress]: [Phase 3 of 3] Extracting. 0.254 * * [regime]: Finding splitpoints for: (# # # #) 0.254 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 0.254 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 0.269 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 0.285 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 0.307 * * * * [regimes]: Trying to branch on (* re re) from (# #) 0.327 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 0.348 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 0.371 * * * * [regimes]: Trying to branch on im from (# # # #) 0.394 * * * * [regimes]: Trying to branch on re from (# # # #) 0.417 * * * [regime]: Found split indices: #