12.603 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) 0.023 * * [simplify]: iteration 0 : 8 enodes (cost 5 ) 0.024 * * [simplify]: iteration 1 : 8 enodes (cost 5 ) 0.024 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.038 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.043 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.043 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.043 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.043 * [taylor]: Taking taylor expansion of re in im 0.043 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.043 * [taylor]: Taking taylor expansion of im in im 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.043 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.043 * [taylor]: Taking taylor expansion of re in re 0.043 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.043 * [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 0.044 * [taylor]: Taking taylor expansion of im in re 0.044 * [taylor]: Taking taylor expansion of im in im 0.044 * [taylor]: Taking taylor expansion of 0 in im 0.044 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.044 * [taylor]: Taking taylor expansion of 1/2 in im 0.044 * [taylor]: Taking taylor expansion of im in im 0.044 * [taylor]: Taking taylor expansion of 0 in im 0.045 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.045 * [taylor]: Taking taylor expansion of im in im 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.045 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.045 * [taylor]: Taking taylor expansion of re in im 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.045 * [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 (/ 1 (pow re 2)) in re 0.045 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.045 * [taylor]: Taking taylor expansion of re in re 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.045 * [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 (/ 1 (pow re 2)) in re 0.045 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.045 * [taylor]: Taking taylor expansion of re in re 0.045 * [taylor]: Taking taylor expansion of 1 in im 0.045 * [taylor]: Taking taylor expansion of 0 in im 0.046 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.046 * [taylor]: Taking taylor expansion of 1/2 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 0 in im 0.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 (/ 1 (pow re 2)) in im 0.047 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.047 * [taylor]: Taking taylor expansion of re in im 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.047 * [taylor]: Taking taylor expansion of im in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.047 * [taylor]: Taking taylor expansion of re in re 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.047 * [taylor]: Taking taylor expansion of im in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.047 * [taylor]: Taking taylor expansion of re in re 0.047 * [taylor]: Taking taylor expansion of 1 in im 0.048 * [taylor]: Taking taylor expansion of 0 in im 0.048 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.048 * [taylor]: Taking taylor expansion of 1/2 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 0 in im 0.048 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.049 * [approximate]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.049 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.049 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.049 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.049 * [taylor]: Taking taylor expansion of re in im 0.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.049 * [taylor]: Taking taylor expansion of im in im 0.049 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.049 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in re 0.049 * [taylor]: Taking taylor expansion of im in re 0.049 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.049 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in re 0.049 * [taylor]: Taking taylor expansion of im in re 0.050 * [taylor]: Taking taylor expansion of (log im) in im 0.050 * [taylor]: Taking taylor expansion of im in im 0.050 * [taylor]: Taking taylor expansion of 0 in im 0.050 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.050 * [taylor]: Taking taylor expansion of 1/2 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 0 in im 0.051 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.051 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.051 * [taylor]: Taking taylor expansion of im in im 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.052 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.052 * [taylor]: Taking taylor expansion of re in im 0.052 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.052 * [taylor]: Taking taylor expansion of im in re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.052 * [taylor]: Taking taylor expansion of re in re 0.052 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.052 * [taylor]: Taking taylor expansion of im in re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.052 * [taylor]: Taking taylor expansion of re in re 0.052 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.052 * [taylor]: Taking taylor expansion of (log 1) in im 0.052 * [taylor]: Taking taylor expansion of 1 in im 0.053 * [taylor]: Taking taylor expansion of (log re) in im 0.053 * [taylor]: Taking taylor expansion of re in im 0.053 * [taylor]: Taking taylor expansion of 0 in im 0.053 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.053 * [taylor]: Taking taylor expansion of 1/2 in im 0.054 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.054 * [taylor]: Taking taylor expansion of im in im 0.055 * [taylor]: Taking taylor expansion of 0 in im 0.055 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.055 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.055 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.055 * [taylor]: Taking taylor expansion of im in im 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.055 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.055 * [taylor]: Taking taylor expansion of re in im 0.055 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.055 * [taylor]: Taking taylor expansion of im in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.055 * [taylor]: Taking taylor expansion of re in re 0.056 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 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 0.056 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.056 * [taylor]: Taking taylor expansion of (log 1) in im 0.056 * [taylor]: Taking taylor expansion of 1 in im 0.056 * [taylor]: Taking taylor expansion of (log re) in im 0.056 * [taylor]: Taking taylor expansion of re in im 0.056 * [taylor]: Taking taylor expansion of 0 in im 0.057 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.057 * [taylor]: Taking taylor expansion of 1/2 in im 0.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.057 * [taylor]: Taking taylor expansion of im in im 0.058 * [taylor]: Taking taylor expansion of 0 in im 0.058 * * * [progress]: simplifying candidates 0.059 * [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)))) (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (log (sqrt (cbrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt 1)) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (log 1) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (log (sqrt (- (* re re) (* im im)))) (log (+ (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (log (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im))))) (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (cbrt (log (sqrt (+ (* re re) (* im im))))) (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (sqrt (log (sqrt (+ (* re re) (* im im))))) (sqrt (log (sqrt (+ (* re re) (* im im))))) im re (* -1 re) (+ (log 1) (log im)) (- (log 1) (log (/ 1 re))) (- (log 1) (log (/ -1 re))) 0.062 * * [simplify]: iteration 0 : 128 enodes (cost 288 ) 0.065 * * [simplify]: iteration 1 : 273 enodes (cost 266 ) 0.069 * * [simplify]: iteration 2 : 613 enodes (cost 262 ) 0.079 * * [simplify]: iteration 3 : 1474 enodes (cost 262 ) 0.108 * * [simplify]: iteration 4 : 4558 enodes (cost 259 ) 0.198 * * [simplify]: iteration 5 : 5001 enodes (cost 259 ) 0.199 * [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)))) (* 2 (log (cbrt (sqrt (+ (* re re) (* im im)))))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (log (sqrt (cbrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) 0 (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) 0 (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (log (sqrt (- (* re re) (* im im)))) (log (+ (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (log (log (sqrt (+ (* re re) (* im im))))) (sqrt (+ (* re re) (* im im))) (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (cbrt (log (sqrt (+ (* re re) (* im im))))) (pow (log (sqrt (+ (* re re) (* im im)))) 3) (sqrt (log (sqrt (+ (* re re) (* im im))))) (sqrt (log (sqrt (+ (* re re) (* im im))))) im re (* -1 re) (log im) (log re) (neg (log (/ -1 re))) 0.200 * * * [progress]: adding candidates to table 0.246 * * [progress]: iteration 2 / 4 0.246 * * * [progress]: picking best candidate 0.256 * * * * [pick]: Picked # 0.256 * * * [progress]: localizing error 0.263 * * * [progress]: generating rewritten candidates 0.263 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.267 * * * [progress]: generating series expansions 0.267 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.267 * [approximate]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in (re im) around 0 0.267 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.267 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.267 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.267 * [taylor]: Taking taylor expansion of re in im 0.267 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.267 * [taylor]: Taking taylor expansion of im in im 0.267 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.267 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.267 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.267 * [taylor]: Taking taylor expansion of re in re 0.267 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.267 * [taylor]: Taking taylor expansion of im in re 0.268 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.268 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.268 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.268 * [taylor]: Taking taylor expansion of im in re 0.268 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of 0 in im 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.269 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.269 * [taylor]: Taking taylor expansion of im in im 0.270 * [taylor]: Taking taylor expansion of 0 in im 0.270 * [approximate]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.270 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.270 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.270 * [taylor]: Taking taylor expansion of re in im 0.270 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.270 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.270 * [taylor]: Taking taylor expansion of im in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.270 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.270 * [taylor]: Taking taylor expansion of re in re 0.270 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.270 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.270 * [taylor]: Taking taylor expansion of im in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.270 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.270 * [taylor]: Taking taylor expansion of re in re 0.271 * [taylor]: Taking taylor expansion of (- (log 1) (* 2 (log re))) in im 0.271 * [taylor]: Taking taylor expansion of (log 1) in im 0.271 * [taylor]: Taking taylor expansion of 1 in im 0.271 * [taylor]: Taking taylor expansion of (* 2 (log re)) in im 0.271 * [taylor]: Taking taylor expansion of 2 in im 0.271 * [taylor]: Taking taylor expansion of (log re) in im 0.271 * [taylor]: Taking taylor expansion of re in im 0.271 * [taylor]: Taking taylor expansion of 0 in im 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.272 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.273 * [taylor]: Taking taylor expansion of 0 in im 0.273 * [approximate]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.273 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.273 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.273 * [taylor]: Taking taylor expansion of im in im 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.273 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.273 * [taylor]: Taking taylor expansion of re in im 0.273 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.273 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.273 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.273 * [taylor]: Taking taylor expansion of re in re 0.273 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.274 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.274 * [taylor]: Taking taylor expansion of im in re 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.274 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.274 * [taylor]: Taking taylor expansion of re in re 0.274 * [taylor]: Taking taylor expansion of (- (log 1) (* 2 (log re))) in im 0.274 * [taylor]: Taking taylor expansion of (log 1) in im 0.274 * [taylor]: Taking taylor expansion of 1 in im 0.274 * [taylor]: Taking taylor expansion of (* 2 (log re)) in im 0.274 * [taylor]: Taking taylor expansion of 2 in im 0.274 * [taylor]: Taking taylor expansion of (log re) in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.274 * [taylor]: Taking taylor expansion of 0 in im 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.275 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.275 * [taylor]: Taking taylor expansion of im in im 0.276 * [taylor]: Taking taylor expansion of 0 in im 0.276 * * * [progress]: simplifying candidates 0.278 * [simplify]: Simplifying using # : (log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (log (cbrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (log 1) (log (+ (* re re) (* im im))) (log (+ (pow (* re re) 3) (pow (* im im) 3))) (log (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (log (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (log (- (* re re) (* im im))) (log (+ (* re re) (* im im))) (log (log (+ (* re re) (* im im)))) (exp (log (+ (* re re) (* im im)))) (* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im))))) (cbrt (log (+ (* re re) (* im im)))) (* (* (log (+ (* re re) (* im im))) (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im)))) (sqrt (log (+ (* re re) (* im im)))) (sqrt (log (+ (* re re) (* im im)))) (+ (log 1) (* 2 (log im))) (- (log 1) (* 2 (log (/ 1 re)))) (- (log 1) (* 2 (log (/ -1 re)))) 0.281 * * [simplify]: iteration 0 : 111 enodes (cost 126 ) 0.283 * * [simplify]: iteration 1 : 252 enodes (cost 110 ) 0.287 * * [simplify]: iteration 2 : 553 enodes (cost 105 ) 0.296 * * [simplify]: iteration 3 : 1330 enodes (cost 105 ) 0.328 * * [simplify]: iteration 4 : 4871 enodes (cost 105 ) 0.446 * * [simplify]: iteration 5 : 5001 enodes (cost 105 ) 0.447 * [simplify]: Simplified to: (* 2 (log (cbrt (+ (* re re) (* im im))))) (log (cbrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) 0 (log (+ (* re re) (* im im))) (log (+ (pow (* re re) 3) (pow (* im im) 3))) (log (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (log (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (log (- (* re re) (* im im))) (log (+ (* re re) (* im im))) (log (log (+ (* re re) (* im im)))) (+ (* re re) (* im im)) (* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im))))) (cbrt (log (+ (* re re) (* im im)))) (pow (log (+ (* re re) (* im im))) 3) (sqrt (log (+ (* re re) (* im im)))) (sqrt (log (+ (* re re) (* im im)))) (* 2 (log im)) (* (log re) 2) (* -2 (log (/ -1 re))) 0.447 * * * [progress]: adding candidates to table 0.466 * * [progress]: iteration 3 / 4 0.466 * * * [progress]: picking best candidate 0.473 * * * * [pick]: Picked # 0.473 * * * [progress]: localizing error 0.475 * * * [progress]: generating rewritten candidates 0.475 * * * [progress]: generating series expansions 0.475 * * * [progress]: simplifying candidates 0.476 * [simplify]: Simplifying using # : 0.477 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.477 * [simplify]: Simplified to: 0.477 * * * [progress]: adding candidates to table 0.478 * * [progress]: iteration 4 / 4 0.478 * * * [progress]: picking best candidate 0.482 * * * * [pick]: Picked # 0.483 * * * [progress]: localizing error 0.486 * * * [progress]: generating rewritten candidates 0.486 * * * [progress]: generating series expansions 0.486 * * * [progress]: simplifying candidates 0.486 * [simplify]: Simplifying using # : 0.488 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.488 * [simplify]: Simplified to: 0.488 * * * [progress]: adding candidates to table 0.488 * [progress]: [Phase 3 of 3] Extracting. 0.488 * * [regime]: Finding splitpoints for: (# # # #) 0.489 * * * [regime-changes]: Trying 5 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) im re) 0.489 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 0.532 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 0.572 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 0.613 * * * * [regimes]: Trying to branch on (* re re) from (# #) 0.643 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 0.687 * * * * [regimes]: Trying to branch on im from (# # # #) 0.744 * * * * [regimes]: Trying to branch on re from (# # # #) 0.800 * * * [regime]: Found split indices: #