6.137 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0.028 * * [simplify]: iteration 0 : 8 enodes (cost 9 ) 0.028 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 0.029 * [simplify]: Simplified to: (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.044 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.044 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.044 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.044 * [taylor]: Taking taylor expansion of re in im 0.044 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.044 * [taylor]: Taking taylor expansion of im in im 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.044 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.044 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.044 * [taylor]: Taking taylor expansion of re in re 0.044 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.044 * [taylor]: Taking taylor expansion of im in re 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.044 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.044 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.044 * [taylor]: Taking taylor expansion of re in re 0.044 * [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 im in im 0.045 * [taylor]: Taking taylor expansion of 0 in im 0.045 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.045 * [taylor]: Taking taylor expansion of 1/2 in im 0.045 * [taylor]: Taking taylor expansion of im in im 0.045 * [taylor]: Taking taylor expansion of 0 in im 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.046 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.046 * [taylor]: Taking taylor expansion of im in im 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.046 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.046 * [taylor]: Taking taylor expansion of re in im 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.046 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.046 * [taylor]: Taking taylor expansion of im in re 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.046 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.046 * [taylor]: Taking taylor expansion of im in re 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.046 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.046 * [taylor]: Taking taylor expansion of re in re 0.047 * [taylor]: Taking taylor expansion of 1 in im 0.047 * [taylor]: Taking taylor expansion of 0 in im 0.047 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.047 * [taylor]: Taking taylor expansion of 1/2 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 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 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.048 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.048 * [taylor]: Taking taylor expansion of re in im 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.048 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.048 * [taylor]: Taking taylor expansion of im in re 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.048 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.048 * [taylor]: Taking taylor expansion of re in re 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.048 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.048 * [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 0.049 * [taylor]: Taking taylor expansion of 1 in im 0.049 * [taylor]: Taking taylor expansion of 0 in im 0.049 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.049 * [taylor]: Taking taylor expansion of 1/2 in im 0.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.049 * [taylor]: Taking taylor expansion of im in im 0.050 * [taylor]: Taking taylor expansion of 0 in im 0.050 * * * [progress]: simplifying candidates 0.050 * [simplify]: Simplifying using # : (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (exp.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 1) (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 re re) 3) (pow.f64 (*.f64 im im) 3))) (sqrt.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 im im))))) (sqrt.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im)))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) im re (*.f64 -1 re) 0.099 * * [simplify]: iteration 0 : 4905 enodes (cost 164 ) 0.099 * * [simplify]: iteration 1 : 4905 enodes (cost 164 ) 0.100 * [simplify]: Simplified to: (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (exp.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 3) (fabs.f64 (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 1 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (+.f64 (pow.f64 re 6) (pow.f64 im 6))) (sqrt.f64 (+.f64 (pow.f64 re 4) (-.f64 (pow.f64 im 4) (*.f64 (*.f64 re re) (*.f64 im im))))) (sqrt.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))) 1/2 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) im re (neg.f64 re) 0.101 * * * [progress]: adding candidates to table 0.120 * * [progress]: iteration 2 / 4 0.120 * * * [progress]: picking best candidate 0.129 * * * * [pick]: Picked # 0.129 * * * [progress]: localizing error 0.131 * * * [progress]: generating rewritten candidates 0.131 * * * [progress]: generating series expansions 0.131 * * * [progress]: simplifying candidates 0.131 * [simplify]: Simplifying using # : 0.135 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.135 * [simplify]: Simplified to: 0.135 * * * [progress]: adding candidates to table 0.136 * * [progress]: iteration 3 / 4 0.136 * * * [progress]: picking best candidate 0.140 * * * * [pick]: Picked # 0.140 * * * [progress]: localizing error 0.143 * * * [progress]: generating rewritten candidates 0.143 * * * [progress]: generating series expansions 0.143 * * * [progress]: simplifying candidates 0.143 * [simplify]: Simplifying using # : 0.147 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.148 * [simplify]: Simplified to: 0.148 * * * [progress]: adding candidates to table 0.148 * * [progress]: iteration 4 / 4 0.148 * * * [progress]: picking best candidate 0.150 * * * * [pick]: Picked # 0.150 * * * [progress]: localizing error 0.152 * * * [progress]: generating rewritten candidates 0.152 * * * [progress]: generating series expansions 0.152 * * * [progress]: simplifying candidates 0.153 * [simplify]: Simplifying using # : 0.156 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.157 * [simplify]: Simplified to: 0.157 * * * [progress]: adding candidates to table 0.157 * [progress]: [Phase 3 of 3] Extracting. 0.157 * * [regime]: Finding splitpoints for: (# # # #) 0.157 * * * [regime-changes]: Trying 7 branch expressions: ((*.f64 im im) (*.f64 re re) (+.f64 (*.f64 re re) (*.f64 im im)) (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) im re) 0.157 * * * * [regimes]: Trying to branch on (*.f64 im im) from (# # # #) 0.198 * * * * [regimes]: Trying to branch on (*.f64 im im) from (# # #) 0.234 * * * * [regimes]: Trying to branch on (*.f64 re re) from (# # # #) 0.282 * * * * [regimes]: Trying to branch on (*.f64 re re) from (# #) 0.321 * * * * [regimes]: Trying to branch on (+.f64 (*.f64 re re) (*.f64 im im)) from (# # # #) 0.364 * * * * [regimes]: Trying to branch on (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) from (# # # #) 0.408 * * * * [regimes]: Trying to branch on (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) from (# # # #) 0.453 * * * * [regimes]: Trying to branch on im from (# # # #) 0.505 * * * * [regimes]: Trying to branch on re from (# # # #) 0.553 * * * [regime]: Found split indices: #