8.252 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.054 * [simplify]: Simplifying using # : (* (exp re) (cos im)) 0.055 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.056 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.056 * [simplify]: Simplified to: (* (exp re) (cos im)) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.070 * [approximate]: Approximating (* (cos im) (exp re)) in (re im) around 0 0.071 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 0.075 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 0.079 * [taylor]: Taking taylor expansion of (* (cos im) (exp re)) in im 0.080 * [approximate]: Approximating (* (exp (/ 1 re)) (cos (/ 1 im))) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.084 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.088 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.094 * [taylor]: Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im 0.094 * [approximate]: Approximating (* (exp (/ -1 re)) (cos (/ -1 im))) in (re im) around 0 0.096 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.099 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.102 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.108 * [taylor]: Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im 0.108 * * * [progress]: simplifying candidates 0.108 * [simplify]: Simplifying using # : (* (exp re) (cos im)) (+ re (log (cos im))) (log (* (exp re) (cos im))) (exp (* (exp re) (cos im))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im))) (* (cbrt (* (exp re) (cos im))) (cbrt (* (exp re) (cos im)))) (cbrt (* (exp re) (cos im))) (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))) (* (sqrt (exp re)) (sqrt (cos im))) (* (sqrt (exp re)) (sqrt (cos im))) (* (exp re) (* (cbrt (cos im)) (cbrt (cos im)))) (* (exp re) (sqrt (cos im))) (* (exp re) 1) (* (cbrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im)) (* (exp re) (cos im)) (+ 1 (+ (* 1/2 (pow re 2)) re)) (* (cos im) (exp re)) (* (cos im) (exp re)) 0.111 * * [simplify]: iteration 0 : 79 enodes (cost 98 ) 0.112 * * [simplify]: iteration 1 : 264 enodes (cost 85 ) 0.118 * * [simplify]: iteration 2 : 1020 enodes (cost 85 ) 0.134 * * [simplify]: iteration 3 : 4106 enodes (cost 85 ) 0.244 * * [simplify]: iteration 4 : 5002 enodes (cost 85 ) 0.245 * [simplify]: Simplified to: (* (exp re) (cos im)) (+ (log (cos im)) re) (+ (log (cos im)) re) (exp (* (exp re) (cos im))) (pow (* (exp re) (cos im)) 3) (* (cbrt (* (exp re) (cos im))) (cbrt (* (exp re) (cos im)))) (cbrt (* (exp re) (cos im))) (pow (* (exp re) (cos im)) 3) (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))) (* (sqrt (exp re)) (sqrt (cos im))) (* (sqrt (exp re)) (sqrt (cos im))) (* (exp re) (* (cbrt (cos im)) (cbrt (cos im)))) (* (exp re) (sqrt (cos im))) (exp re) (* (cbrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im)) (* (exp re) (cos im)) (+ 1 (+ (* 1/2 (pow re 2)) re)) (* (exp re) (cos im)) (* (exp re) (cos im)) 0.245 * * * [progress]: adding candidates to table 0.275 * * [progress]: iteration 2 / 4 0.275 * * * [progress]: picking best candidate 0.279 * * * * [pick]: Picked # 0.279 * * * [progress]: localizing error 0.288 * * * [progress]: generating rewritten candidates 0.288 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.289 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.291 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.293 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.301 * * * [progress]: generating series expansions 0.301 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.301 * [approximate]: Approximating (pow (exp re) 1/3) in (re) around 0 0.312 * [approximate]: Approximating (pow (exp (/ 1 re)) 1/3) in (re) around 0 0.354 * [approximate]: Approximating (pow (exp (/ -1 re)) 1/3) in (re) around 0 0.392 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.392 * [approximate]: Approximating (pow (exp re) 1/3) in (re) around 0 0.405 * [approximate]: Approximating (pow (exp (/ 1 re)) 1/3) in (re) around 0 0.442 * [approximate]: Approximating (pow (exp (/ -1 re)) 1/3) in (re) around 0 0.482 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.482 * [approximate]: Approximating (pow (exp re) 1/3) in (re) around 0 0.493 * [approximate]: Approximating (pow (exp (/ 1 re)) 1/3) in (re) around 0 0.530 * [approximate]: Approximating (pow (exp (/ -1 re)) 1/3) in (re) around 0 0.570 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.570 * [approximate]: Approximating (pow (pow (exp re) 2) 1/3) in (re) around 0 0.582 * [approximate]: Approximating (pow (pow (exp (/ 1 re)) 2) 1/3) in (re) around 0 0.629 * [approximate]: Approximating (pow (pow (exp (/ -1 re)) 2) 1/3) in (re) around 0 0.673 * * * [progress]: simplifying candidates 0.674 * [simplify]: Simplifying using # : (log (cbrt (exp re))) (exp (cbrt (exp re))) (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (cbrt (exp re))) (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))) (cbrt 1) (cbrt (exp re)) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re))) (* (* (cbrt (exp re)) (cbrt (exp re))) (cbrt (exp re))) (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))) (log (cbrt (exp re))) (exp (cbrt (exp re))) (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (cbrt (exp re))) (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))) (cbrt 1) (cbrt (exp re)) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re))) (* (* (cbrt (exp re)) (cbrt (exp re))) (cbrt (exp re))) (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))) (log (cbrt (exp re))) (exp (cbrt (exp re))) (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (cbrt (exp re))) (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))) (cbrt 1) (cbrt (exp re)) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re))) (* (* (cbrt (exp re)) (cbrt (exp re))) (cbrt (exp re))) (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))) (+ 1/3 1/3) (+ 1 1) (* (exp re) (exp re)) (* (cbrt (exp re)) (cbrt (exp re))) (+ 1 1) (+ (log (cbrt (exp re))) (log (cbrt (exp re)))) (log (* (cbrt (exp re)) (cbrt (exp re)))) (exp (* (cbrt (exp re)) (cbrt (exp re)))) (* (exp re) (exp re)) (* (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (* (cbrt (exp re)) (cbrt (exp re))))) (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (cbrt (exp re)))) (* (cbrt (exp re)) (cbrt (exp re)))) (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (* (cbrt (exp re)) (cbrt (exp re))))) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (exp re)) (cbrt (exp re))) (* (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re))))) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* 1 1) (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (* (cbrt (sqrt (exp re))) (sqrt (cbrt (exp re)))) (* (cbrt (sqrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (cbrt (sqrt (exp re)))) (* (sqrt (cbrt (exp re))) (cbrt (sqrt (exp re)))) (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* 2 1/3) (* 2 1) (* (cbrt (exp re)) (cbrt (* (cbrt (exp re)) (cbrt (exp re))))) (* (cbrt (exp re)) (cbrt (sqrt (exp re)))) (* (cbrt (exp re)) (cbrt 1)) (* (cbrt (exp re)) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re))))) (* (cbrt (exp re)) (sqrt (cbrt (exp re)))) (* (cbrt (exp re)) 1) (* (cbrt (cbrt (exp re))) (cbrt (exp re))) (* (cbrt (sqrt (exp re))) (cbrt (exp re))) (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (cbrt (exp re))) (cbrt (exp re))) (* (sqrt (cbrt (exp re))) (cbrt (exp re))) (* (cbrt (exp re)) (cbrt (exp re))) (+ 1 (+ (* 1/18 (pow re 2)) (* 1/3 re))) (exp (* 1/3 re)) (exp (* 1/3 re)) (+ 1 (+ (* 1/18 (pow re 2)) (* 1/3 re))) (exp (* 1/3 re)) (exp (* 1/3 re)) (+ 1 (+ (* 1/18 (pow re 2)) (* 1/3 re))) (exp (* 1/3 re)) (exp (* 1/3 re)) (+ 1 (+ (* 2/9 (pow re 2)) (* 2/3 re))) (pow (pow (exp re) 2) 1/3) (pow (pow (exp re) 2) 1/3) 0.677 * * [simplify]: iteration 0 : 112 enodes (cost 437 ) 0.680 * * [simplify]: iteration 1 : 362 enodes (cost 400 ) 0.689 * * [simplify]: iteration 2 : 1731 enodes (cost 367 ) 0.729 * * [simplify]: iteration 3 : 5001 enodes (cost 339 ) 0.731 * [simplify]: Simplified to: (* 1/3 re) (exp (cbrt (exp re))) (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (cbrt (exp re))) (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))) 1 (cbrt (exp re)) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re))) (exp re) (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))) (* 1/3 re) (exp (cbrt (exp re))) (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (cbrt (exp re))) (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))) 1 (cbrt (exp re)) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re))) (exp re) (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))) (* 1/3 re) (exp (cbrt (exp re))) (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (cbrt (exp re))) (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))) 1 (cbrt (exp re)) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re))) (exp re) (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))) 2/3 2 (pow (exp re) 2) (exp (* 2/3 re)) 2 (* 2/3 re) (* 2/3 re) (exp (* (cbrt (exp re)) (cbrt (exp re)))) (pow (exp re) 2) (* (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (* (cbrt (exp re)) (cbrt (exp re))))) (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (pow (exp re) 2) (fabs (cbrt (exp re))) (fabs (cbrt (exp re))) (* (cbrt (* (cbrt (exp re)) (cbrt (exp re)))) (cbrt (* (cbrt (exp re)) (cbrt (exp re))))) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) 1 (exp (* 2/3 re)) (pow (cbrt (cbrt (exp re))) 4) (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (exp re)) (cbrt (exp re)) 1 (exp (* 2/3 re)) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (* (cbrt (sqrt (exp re))) (sqrt (cbrt (exp re)))) (* (cbrt (sqrt (exp re))) (sqrt (cbrt (exp re)))) (* (cbrt (sqrt (exp re))) (sqrt (cbrt (exp re)))) (* (cbrt (sqrt (exp re))) (sqrt (cbrt (exp re)))) (cbrt (exp re)) (cbrt (exp re)) 2/3 2 (* (cbrt (exp re)) (cbrt (* (cbrt (exp re)) (cbrt (exp re))))) (* (cbrt (exp re)) (cbrt (sqrt (exp re)))) (cbrt (exp re)) (pow (cbrt (cbrt (exp re))) 5) (pow (sqrt (cbrt (exp re))) 3) (cbrt (exp re)) (pow (cbrt (cbrt (exp re))) 4) (* (cbrt (exp re)) (cbrt (sqrt (exp re)))) (exp (* 2/3 re)) (pow (cbrt (cbrt (exp re))) 4) (pow (sqrt (cbrt (exp re))) 3) (exp (* 2/3 re)) (+ 1 (+ (* 1/18 (pow re 2)) (* 1/3 re))) (cbrt (exp re)) (cbrt (exp re)) (+ 1 (+ (* 1/18 (pow re 2)) (* 1/3 re))) (cbrt (exp re)) (cbrt (exp re)) (+ 1 (+ (* 1/18 (pow re 2)) (* 1/3 re))) (cbrt (exp re)) (cbrt (exp re)) (+ 1 (+ (* 2/9 (pow re 2)) (* 2/3 re))) (exp (* 2/3 re)) (exp (* 2/3 re)) 0.731 * * * [progress]: adding candidates to table 0.893 * [progress]: [Phase 3 of 3] Extracting. 0.893 * * [regime]: Finding splitpoints for: (# #) 0.894 * * * [regime-changes]: Trying 5 branch expressions: ((cos im) (exp re) (* (exp re) (cos im)) im re) 0.894 * * * * [regimes]: Trying to branch on (cos im) from (# #) 0.926 * * * * [regimes]: Trying to branch on (exp re) from (# #) 0.958 * * * * [regimes]: Trying to branch on (* (exp re) (cos im)) from (# #) 0.997 * * * * [regimes]: Trying to branch on im from (# #) 1.029 * * * * [regimes]: Trying to branch on re from (# #) 1.063 * * * [regime]: Found split indices: #