5.255 * [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))) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.027 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.027 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.027 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.027 * [taylor]: Taking taylor expansion of re in im 0.027 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.027 * [taylor]: Taking taylor expansion of im in im 0.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.028 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.028 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.028 * [taylor]: Taking taylor expansion of re in re 0.028 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.028 * [taylor]: Taking taylor expansion of im in re 0.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.028 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.029 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.029 * [taylor]: Taking taylor expansion of re in re 0.029 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.029 * [taylor]: Taking taylor expansion of im in re 0.029 * [taylor]: Taking taylor expansion of im in im 0.029 * [taylor]: Taking taylor expansion of 0 in im 0.030 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.030 * [taylor]: Taking taylor expansion of 1/2 in im 0.030 * [taylor]: Taking taylor expansion of im in im 0.033 * [taylor]: Taking taylor expansion of 0 in im 0.033 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.033 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.033 * [taylor]: Taking taylor expansion of im in im 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.034 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.034 * [taylor]: Taking taylor expansion of re in im 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.036 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.036 * [taylor]: Taking taylor expansion of im in re 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.036 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.036 * [taylor]: Taking taylor expansion of re in re 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.039 * [taylor]: Taking taylor expansion of im in re 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.041 * [taylor]: Taking taylor expansion of 1 in im 0.041 * [taylor]: Taking taylor expansion of 0 in im 0.043 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.043 * [taylor]: Taking taylor expansion of 1/2 in im 0.043 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.043 * [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 0.048 * [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 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.053 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.053 * [taylor]: Taking taylor expansion of im in re 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.054 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.054 * [taylor]: Taking taylor expansion of re in re 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.056 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.056 * [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 0.064 * [taylor]: Taking taylor expansion of 0 in im 0.065 * * * [progress]: simplifying candidates 0.065 * [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) 0.068 * * [simplify]: iteration 0 : 89 enodes (cost 100 ) 0.070 * * [simplify]: iteration 1 : 215 enodes (cost 97 ) 0.074 * * [simplify]: iteration 2 : 503 enodes (cost 97 ) 0.083 * * [simplify]: iteration 3 : 1265 enodes (cost 97 ) 0.110 * * [simplify]: iteration 4 : 4227 enodes (cost 97 ) 0.195 * * [simplify]: iteration 5 : 5002 enodes (cost 96 ) 0.196 * [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 (* 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) 0.196 * * * [progress]: adding candidates to table 0.262 * * [progress]: iteration 2 / 4 0.262 * * * [progress]: picking best candidate 0.266 * * * * [pick]: Picked # 0.266 * * * [progress]: localizing error 0.269 * * * [progress]: generating rewritten candidates 0.270 * * * [progress]: generating series expansions 0.270 * * * [progress]: simplifying candidates 0.270 * [simplify]: Simplifying using # : 0.273 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.273 * [simplify]: Simplified to: 0.273 * * * [progress]: adding candidates to table 0.273 * * [progress]: iteration 3 / 4 0.273 * * * [progress]: picking best candidate 0.276 * * * * [pick]: Picked # 0.276 * * * [progress]: localizing error 0.277 * * * [progress]: generating rewritten candidates 0.277 * * * [progress]: generating series expansions 0.277 * * * [progress]: simplifying candidates 0.278 * [simplify]: Simplifying using # : 0.281 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.281 * [simplify]: Simplified to: 0.281 * * * [progress]: adding candidates to table 0.281 * * [progress]: iteration 4 / 4 0.281 * * * [progress]: picking best candidate 0.282 * * * * [pick]: Picked # 0.282 * * * [progress]: localizing error 0.283 * * * [progress]: generating rewritten candidates 0.283 * * * [progress]: generating series expansions 0.283 * * * [progress]: simplifying candidates 0.284 * [simplify]: Simplifying using # : 0.287 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.287 * [simplify]: Simplified to: 0.287 * * * [progress]: adding candidates to table 0.287 * [progress]: [Phase 3 of 3] Extracting. 0.287 * * [regime]: Finding splitpoints for: (# # # #) 0.288 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 0.288 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 0.334 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 0.362 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 0.378 * * * * [regimes]: Trying to branch on (* re re) from (# #) 0.392 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 0.411 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 0.435 * * * * [regimes]: Trying to branch on im from (# # # #) 0.464 * * * * [regimes]: Trying to branch on re from (# # # #) 0.488 * * * [regime]: Found split indices: #