11.712 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) 0.019 * * [simplify]: iteration 0 : 8 enodes (cost 5 ) 0.020 * * [simplify]: iteration 1 : 8 enodes (cost 5 ) 0.020 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.049 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.050 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.050 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.050 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.050 * [taylor]: Taking taylor expansion of re 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 (sqrt (+ (pow re 2) (pow im 2))) in re 0.051 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.051 * [taylor]: Taking taylor expansion of re in re 0.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.051 * [taylor]: Taking taylor expansion of im in re 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.051 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.051 * [taylor]: Taking taylor expansion of re in re 0.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.051 * [taylor]: Taking taylor expansion of im in re 0.052 * [taylor]: Taking taylor expansion of im in im 0.052 * [taylor]: Taking taylor expansion of 0 in im 0.053 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.053 * [taylor]: Taking taylor expansion of 1/2 in im 0.053 * [taylor]: Taking taylor expansion of im in im 0.055 * [taylor]: Taking taylor expansion of 0 in im 0.056 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.056 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.056 * [taylor]: Taking taylor expansion of im in im 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.057 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.057 * [taylor]: Taking taylor expansion of re in im 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.059 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.059 * [taylor]: Taking taylor expansion of im in re 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.059 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.059 * [taylor]: Taking taylor expansion of re in re 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.061 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.061 * [taylor]: Taking taylor expansion of im in re 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.061 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.061 * [taylor]: Taking taylor expansion of re in re 0.064 * [taylor]: Taking taylor expansion of 1 in im 0.064 * [taylor]: Taking taylor expansion of 0 in im 0.066 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.066 * [taylor]: Taking taylor expansion of 1/2 in im 0.066 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.066 * [taylor]: Taking taylor expansion of im in im 0.069 * [taylor]: Taking taylor expansion of 0 in im 0.070 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.070 * [taylor]: Taking taylor expansion of im in im 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.071 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.071 * [taylor]: Taking taylor expansion of re in im 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.073 * [taylor]: Taking taylor expansion of im in re 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.073 * [taylor]: Taking taylor expansion of re in re 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.078 * [taylor]: Taking taylor expansion of 1 in im 0.078 * [taylor]: Taking taylor expansion of 0 in im 0.080 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.081 * [taylor]: Taking taylor expansion of 1/2 in im 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.085 * * * [progress]: simplifying candidates 0.085 * [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 1) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (* 1 1)) (sqrt (+ (* re re) (* im im))) (sqrt 1) (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) 0.088 * * [simplify]: iteration 0 : 92 enodes (cost 119 ) 0.091 * * [simplify]: iteration 1 : 223 enodes (cost 116 ) 0.095 * * [simplify]: iteration 2 : 539 enodes (cost 116 ) 0.105 * * [simplify]: iteration 3 : 1396 enodes (cost 116 ) 0.136 * * [simplify]: iteration 4 : 4413 enodes (cost 116 ) 0.235 * * [simplify]: iteration 5 : 5002 enodes (cost 116 ) 0.236 * [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))) 1 (sqrt (+ (* re re) (* im im))) 1 (sqrt (+ (* re re) (* im im))) 1 (sqrt (+ (* re re) (* im im))) 1 (sqrt (+ (* re re) (* im im))) 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) 0.236 * * * [progress]: adding candidates to table 0.282 * * [progress]: iteration 2 / 4 0.282 * * * [progress]: picking best candidate 0.286 * * * * [pick]: Picked # 0.286 * * * [progress]: localizing error 0.288 * * * [progress]: generating rewritten candidates 0.288 * * * [progress]: generating series expansions 0.288 * * * [progress]: simplifying candidates 0.288 * [simplify]: Simplifying using # : 0.291 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.291 * [simplify]: Simplified to: 0.291 * * * [progress]: adding candidates to table 0.291 * * [progress]: iteration 3 / 4 0.291 * * * [progress]: picking best candidate 0.294 * * * * [pick]: Picked # 0.294 * * * [progress]: localizing error 0.296 * * * [progress]: generating rewritten candidates 0.296 * * * [progress]: generating series expansions 0.296 * * * [progress]: simplifying candidates 0.296 * [simplify]: Simplifying using # : 0.298 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.298 * [simplify]: Simplified to: 0.298 * * * [progress]: adding candidates to table 0.299 * * [progress]: iteration 4 / 4 0.299 * * * [progress]: picking best candidate 0.300 * * * * [pick]: Picked # 0.300 * * * [progress]: localizing error 0.493 * * * [progress]: generating rewritten candidates 0.494 * * * [progress]: generating series expansions 0.494 * * * [progress]: simplifying candidates 0.494 * [simplify]: Simplifying using # : 0.496 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.496 * [simplify]: Simplified to: 0.496 * * * [progress]: adding candidates to table 0.496 * [progress]: [Phase 3 of 3] Extracting. 0.496 * * [regime]: Finding splitpoints for: (# # # #) 0.496 * * * [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) 0.497 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 0.513 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 0.528 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 0.548 * * * * [regimes]: Trying to branch on (* re re) from (# #) 0.561 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 0.585 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 0.613 * * * * [regimes]: Trying to branch on (log (sqrt (+ (* re re) (* im im)))) from (# # # #) 0.642 * * * * [regimes]: Trying to branch on im from (# # # #) 0.661 * * * * [regimes]: Trying to branch on re from (# # # #) 0.687 * * * [regime]: Found split indices: #