22.035 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.104 * * * [progress]: [2/2] Setting up program. 0.107 * [progress]: [Phase 2 of 3] Improving. 0.107 * [simplify]: Simplifying using # : (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) 0.112 * * [simplify]: iteration 0 : 7 enodes (cost 8 ) 0.112 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.112 * [simplify]: Simplified to: (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) 0.112 * * [progress]: iteration 1 / 4 0.112 * * * [progress]: picking best candidate 0.114 * * * * [pick]: Picked # 0.114 * * * [progress]: localizing error 0.120 * * * [progress]: generating rewritten candidates 0.120 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.124 * * * [progress]: generating series expansions 0.124 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.125 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.125 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.125 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.125 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.126 * [taylor]: Taking taylor expansion of 1/2 in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of 1 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of 1/2 in y 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of 1 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of 1/2 in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * * * [progress]: simplifying candidates 0.132 * [simplify]: Simplifying using # : (log.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 1) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y y) 3))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 y y))))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y)))) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) y x (*.f64 -1 x) 0.182 * * [simplify]: iteration 0 : 4905 enodes (cost 164 ) 0.182 * * [simplify]: iteration 1 : 4905 enodes (cost 164 ) 0.183 * [simplify]: Simplified to: (log.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) 3) (fabs.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) 1 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (*.f64 (*.f64 x x) (*.f64 y y))))) (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 1/2 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) y x (neg.f64 x) 0.184 * * * [progress]: adding candidates to table 0.203 * * [progress]: iteration 2 / 4 0.203 * * * [progress]: picking best candidate 0.209 * * * * [pick]: Picked # 0.209 * * * [progress]: localizing error 0.210 * * * [progress]: generating rewritten candidates 0.210 * * * [progress]: generating series expansions 0.210 * * * [progress]: simplifying candidates 0.211 * [simplify]: Simplifying using # : 0.215 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.215 * [simplify]: Simplified to: 0.215 * * * [progress]: adding candidates to table 0.215 * * [progress]: iteration 3 / 4 0.215 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * [progress]: generating series expansions 0.220 * * * [progress]: simplifying candidates 0.220 * [simplify]: Simplifying using # : 0.224 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.224 * [simplify]: Simplified to: 0.224 * * * [progress]: adding candidates to table 0.224 * * [progress]: iteration 4 / 4 0.224 * * * [progress]: picking best candidate 0.226 * * * * [pick]: Picked # 0.226 * * * [progress]: localizing error 0.227 * * * [progress]: generating rewritten candidates 0.227 * * * [progress]: generating series expansions 0.227 * * * [progress]: simplifying candidates 0.227 * [simplify]: Simplifying using # : 0.231 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.231 * [simplify]: Simplified to: 0.231 * * * [progress]: adding candidates to table 0.232 * [progress]: [Phase 3 of 3] Extracting. 0.232 * * [regime]: Finding splitpoints for: (# # # #) 0.232 * * * [regime-changes]: Trying 6 branch expressions: ((*.f64 y y) (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) y x) 0.232 * * * * [regimes]: Trying to branch on (*.f64 y y) from (# # # #) 0.270 * * * * [regimes]: Trying to branch on (*.f64 y y) from (# # #) 0.305 * * * * [regimes]: Trying to branch on (*.f64 x x) from (# # # #) 0.341 * * * * [regimes]: Trying to branch on (*.f64 x x) from (# #) 0.374 * * * * [regimes]: Trying to branch on (+.f64 (*.f64 x x) (*.f64 y y)) from (# # # #) 0.415 * * * * [regimes]: Trying to branch on (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) from (# # # #) 0.456 * * * * [regimes]: Trying to branch on y from (# # # #) 0.497 * * * * [regimes]: Trying to branch on x from (# # # #) 0.543 * * * [regime]: Found split indices: #