7.241 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.004 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.006 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.006 * * * * [points]: Setting MPFR precision to 64 0.007 * * * * [points]: Setting MPFR precision to 320 0.007 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.007 * * * * [points]: Setting MPFR precision to 64 0.008 * * * * [points]: Setting MPFR precision to 320 0.008 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.008 * * * * [points]: Setting MPFR precision to 64 0.009 * * * * [points]: Setting MPFR precision to 320 0.010 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.010 * * * * [points]: Setting MPFR precision to 64 0.012 * * * * [points]: Setting MPFR precision to 320 0.013 * * * * [points]: Computing exacts for 256 points 0.013 * * * * [points]: Setting MPFR precision to 64 0.018 * * * * [points]: Setting MPFR precision to 320 0.023 * * * * [points]: Filtering points with unrepresentable outputs 0.023 * * * * [points]: Sampled 256 points with exact outputs 0.039 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) 0.045 * * [simplify]: iteration 0 : 8 enodes (cost 9 ) 0.045 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 0.045 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.060 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.064 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.064 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.064 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.064 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.064 * [taylor]: Taking taylor expansion of re in im 0.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.064 * [taylor]: Taking taylor expansion of im in im 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.065 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.065 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.065 * [taylor]: Taking taylor expansion of re in re 0.065 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.065 * [taylor]: Taking taylor expansion of im in re 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.065 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.065 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.065 * [taylor]: Taking taylor expansion of re in re 0.065 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.065 * [taylor]: Taking taylor expansion of im in re 0.066 * [taylor]: Taking taylor expansion of im in im 0.066 * [taylor]: Taking taylor expansion of 0 in im 0.066 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.066 * [taylor]: Taking taylor expansion of 1/2 in im 0.066 * [taylor]: Taking taylor expansion of im in im 0.066 * [taylor]: Taking taylor expansion of 0 in im 0.066 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.067 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.067 * [taylor]: Taking taylor expansion of re in im 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.067 * [taylor]: Taking taylor expansion of re in re 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.067 * [taylor]: Taking taylor expansion of re in re 0.067 * [taylor]: Taking taylor expansion of 1 in im 0.067 * [taylor]: Taking taylor expansion of 0 in im 0.068 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.068 * [taylor]: Taking taylor expansion of 1/2 in im 0.068 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.068 * [taylor]: Taking taylor expansion of im in im 0.068 * [taylor]: Taking taylor expansion of 0 in im 0.068 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.069 * [taylor]: Taking taylor expansion of im in im 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.069 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.069 * [taylor]: Taking taylor expansion of re in im 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.069 * [taylor]: Taking taylor expansion of im in re 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.069 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.069 * [taylor]: Taking taylor expansion of re in re 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.069 * [taylor]: Taking taylor expansion of im in re 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.069 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.069 * [taylor]: Taking taylor expansion of re in re 0.069 * [taylor]: Taking taylor expansion of 1 in im 0.069 * [taylor]: Taking taylor expansion of 0 in im 0.070 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.070 * [taylor]: Taking taylor expansion of 1/2 in im 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.070 * [taylor]: Taking taylor expansion of im in im 0.070 * [taylor]: Taking taylor expansion of 0 in im 0.070 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.071 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.071 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.071 * [taylor]: Taking taylor expansion of im in im 0.071 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.071 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.071 * [taylor]: Taking taylor expansion of re in re 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.071 * [taylor]: Taking taylor expansion of im in re 0.071 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.071 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.071 * [taylor]: Taking taylor expansion of re in re 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.071 * [taylor]: Taking taylor expansion of im in re 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.071 * [taylor]: Taking taylor expansion of im in im 0.071 * [taylor]: Taking taylor expansion of 0 in im 0.071 * [taylor]: Taking taylor expansion of 1 in im 0.071 * [taylor]: Taking taylor expansion of 0 in im 0.071 * [taylor]: Taking taylor expansion of 0 in im 0.072 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.072 * [taylor]: Taking taylor expansion of re in im 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.072 * [taylor]: Taking taylor expansion of im in re 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.072 * [taylor]: Taking taylor expansion of re in re 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.072 * [taylor]: Taking taylor expansion of im in re 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.072 * [taylor]: Taking taylor expansion of re in re 0.072 * [taylor]: Taking taylor expansion of 1 in im 0.072 * [taylor]: Taking taylor expansion of 0 in im 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.073 * [taylor]: Taking taylor expansion of 0 in im 0.073 * [taylor]: Taking taylor expansion of 0 in im 0.074 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.074 * [taylor]: Taking taylor expansion of im in im 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.074 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.074 * [taylor]: Taking taylor expansion of re in im 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.074 * [taylor]: Taking taylor expansion of im in re 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.074 * [taylor]: Taking taylor expansion of re in re 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.074 * [taylor]: Taking taylor expansion of im in re 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.074 * [taylor]: Taking taylor expansion of re in re 0.074 * [taylor]: Taking taylor expansion of 1 in im 0.074 * [taylor]: Taking taylor expansion of 0 in im 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.075 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.076 * * * [progress]: simplifying candidates 0.076 * [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)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.128 * * [simplify]: iteration 0 : 4909 enodes (cost 295 ) 0.129 * * [simplify]: iteration 1 : 4909 enodes (cost 295 ) 0.130 * [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 6) (pow im 6))) (sqrt (+ (pow re 4) (- (pow im 4) (* re (* re (* im im)))))) (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)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow re 6) (pow im 6)) (+ (pow re 4) (- (pow im 4) (* re (* re (* im im))))) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (neg re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.131 * * * [progress]: adding candidates to table 0.174 * * [progress]: iteration 2 / 4 0.174 * * * [progress]: picking best candidate 0.181 * * * * [pick]: Picked # 0.181 * * * [progress]: localizing error 0.183 * * * [progress]: generating rewritten candidates 0.183 * * * [progress]: generating series expansions 0.184 * * * [progress]: simplifying candidates 0.184 * [simplify]: Simplifying using # : 0.186 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.186 * [simplify]: Simplified to: 0.186 * * * [progress]: adding candidates to table 0.186 * * [progress]: iteration 3 / 4 0.186 * * * [progress]: picking best candidate 0.191 * * * * [pick]: Picked # 0.191 * * * [progress]: localizing error 0.193 * * * [progress]: generating rewritten candidates 0.193 * * * [progress]: generating series expansions 0.193 * * * [progress]: simplifying candidates 0.193 * [simplify]: Simplifying using # : 0.196 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.196 * [simplify]: Simplified to: 0.196 * * * [progress]: adding candidates to table 0.196 * * [progress]: iteration 4 / 4 0.196 * * * [progress]: picking best candidate 0.198 * * * * [pick]: Picked # 0.198 * * * [progress]: localizing error 0.202 * * * [progress]: generating rewritten candidates 0.202 * * * [progress]: generating series expansions 0.202 * * * [progress]: simplifying candidates 0.202 * [simplify]: Simplifying using # : 0.204 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.204 * [simplify]: Simplified to: 0.204 * * * [progress]: adding candidates to table 0.204 * [progress]: [Phase 3 of 3] Extracting. 0.204 * * [regime]: Finding splitpoints for: (# # # #) 0.205 * * * [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) 0.205 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 0.245 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 0.282 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 0.321 * * * * [regimes]: Trying to branch on (* re re) from (# #) 0.355 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 0.400 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 0.448 * * * * [regimes]: Trying to branch on (log (sqrt (+ (* re re) (* im im)))) from (# # # #) 0.500 * * * * [regimes]: Trying to branch on im from (# # # #) 0.558 * * * * [regimes]: Trying to branch on re from (# # # #) 0.617 * * * [regime]: Found split indices: #