11.115 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) 0.024 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.024 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 0.025 * * [simplify]: iteration done : 8 enodes (cost 9 ) 0.025 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.045 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.045 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.045 * [taylor]: Taking taylor expansion of im in im 0.045 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.045 * [taylor]: Taking taylor expansion of re in im 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.045 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.045 * [taylor]: Taking taylor expansion of im in re 0.045 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.045 * [taylor]: Taking taylor expansion of re in re 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.045 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.045 * [taylor]: Taking taylor expansion of im in re 0.046 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.046 * [taylor]: Taking taylor expansion of re in re 0.046 * [taylor]: Taking taylor expansion of im in im 0.046 * [taylor]: Taking taylor expansion of 0 in im 0.046 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.046 * [taylor]: Taking taylor expansion of 1/2 in im 0.046 * [taylor]: Taking taylor expansion of im in im 0.046 * [taylor]: Taking taylor expansion of 0 in im 0.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.047 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.047 * [taylor]: Taking taylor expansion of im in im 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.047 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.047 * [taylor]: Taking taylor expansion of re in im 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.047 * [taylor]: Taking taylor expansion of im in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.047 * [taylor]: Taking taylor expansion of re in re 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.047 * [taylor]: Taking taylor expansion of im in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.047 * [taylor]: Taking taylor expansion of re in re 0.048 * [taylor]: Taking taylor expansion of 1 in im 0.048 * [taylor]: Taking taylor expansion of 0 in im 0.048 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.048 * [taylor]: Taking taylor expansion of 1/2 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 0 in im 0.049 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.049 * [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 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.049 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.049 * [taylor]: Taking taylor expansion of im in re 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.049 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.049 * [taylor]: Taking taylor expansion of re in re 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.050 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.050 * [taylor]: Taking taylor expansion of im in re 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.050 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.050 * [taylor]: Taking taylor expansion of re in re 0.050 * [taylor]: Taking taylor expansion of 1 in im 0.050 * [taylor]: Taking taylor expansion of 0 in im 0.050 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.050 * [taylor]: Taking taylor expansion of 1/2 in im 0.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.050 * [taylor]: Taking taylor expansion of im in im 0.051 * [taylor]: Taking taylor expansion of 0 in im 0.051 * * * [progress]: simplifying candidates 0.051 * [simplify]: Simplifying using # : (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) 0.053 * * [simplify]: iteration 0 : 38 enodes (cost 213 ) 0.058 * * [simplify]: iteration 1 : 91 enodes (cost 186 ) 0.071 * * [simplify]: iteration 2 : 212 enodes (cost 170 ) 0.107 * * [simplify]: iteration 3 : 470 enodes (cost 164 ) 0.198 * * [simplify]: iteration 4 : 1048 enodes (cost 164 ) 0.441 * * [simplify]: iteration 5 : 2708 enodes (cost 164 ) 1.071 * * [simplify]: iteration done : 5001 enodes (cost 164 ) 1.071 * [simplify]: Simplified to: (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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (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 (+ (pow im 6) (pow re 6))) (sqrt (+ (pow re 4) (* (* im im) (- (* im im) (* re re))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (neg re) 1.072 * * * [progress]: adding candidates to table 1.106 * * [progress]: iteration 2 / 4 1.106 * * * [progress]: picking best candidate 1.113 * * * * [pick]: Picked # 1.113 * * * [progress]: localizing error 1.115 * * * [progress]: generating rewritten candidates 1.115 * * * [progress]: generating series expansions 1.116 * * * [progress]: simplifying candidates 1.116 * [simplify]: Simplifying using # : 1.116 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.116 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.116 * [simplify]: Simplified to: 1.116 * * * [progress]: adding candidates to table 1.117 * * [progress]: iteration 3 / 4 1.117 * * * [progress]: picking best candidate 1.122 * * * * [pick]: Picked # 1.122 * * * [progress]: localizing error 1.124 * * * [progress]: generating rewritten candidates 1.124 * * * [progress]: generating series expansions 1.124 * * * [progress]: simplifying candidates 1.124 * [simplify]: Simplifying using # : 1.124 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.124 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.124 * [simplify]: Simplified to: 1.124 * * * [progress]: adding candidates to table 1.125 * * [progress]: iteration 4 / 4 1.125 * * * [progress]: picking best candidate 1.127 * * * * [pick]: Picked # 1.128 * * * [progress]: localizing error 1.130 * * * [progress]: generating rewritten candidates 1.131 * * * [progress]: generating series expansions 1.131 * * * [progress]: simplifying candidates 1.131 * [simplify]: Simplifying using # : 1.131 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.131 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.131 * [simplify]: Simplified to: 1.131 * * * [progress]: adding candidates to table 1.132 * [progress]: [Phase 3 of 3] Extracting. 1.132 * * [regime]: Finding splitpoints for: (# # # #) 1.132 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) im re) 1.132 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 1.173 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 1.210 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 1.250 * * * * [regimes]: Trying to branch on (* re re) from (# #) 1.285 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 1.330 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 1.380 * * * * [regimes]: Trying to branch on (log (sqrt (+ (* re re) (* im im)))) from (# # # #) 1.434 * * * * [regimes]: Trying to branch on im from (# # # #) 1.488 * * * * [regimes]: Trying to branch on re from (# # # #) 1.548 * * * [regime]: Found split indices: #