23.509 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.092 * * * [progress]: [2/2] Setting up program. 0.097 * [progress]: [Phase 2 of 3] Improving. 0.097 * [simplify]: Simplifying using # : (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) 0.099 * * [simplify]: iteration 0 : 25 enodes (cost 7 ) 0.100 * * [simplify]: iteration 1 : 50 enodes (cost 7 ) 0.102 * * [simplify]: iteration 2 : 77 enodes (cost 7 ) 0.103 * * [simplify]: iteration 3 : 96 enodes (cost 7 ) 0.106 * * [simplify]: iteration 4 : 112 enodes (cost 7 ) 0.108 * * [simplify]: iteration 5 : 127 enodes (cost 7 ) 0.110 * * [simplify]: iteration 6 : 141 enodes (cost 7 ) 0.112 * * [simplify]: iteration 7 : 141 enodes (cost 7 ) 0.112 * [simplify]: Simplified to: (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) 0.118 * * [progress]: iteration 1 / 4 0.118 * * * [progress]: picking best candidate 0.127 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.137 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.141 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.152 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.161 * * * [progress]: generating series expansions 0.161 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.162 * [approximate]: Approximating (/ (cos th) (sqrt 2.0)) in (th) around 0 0.188 * [approximate]: Approximating (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 0.211 * [approximate]: Approximating (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 0.237 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.238 * [approximate]: Approximating (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in (th a1 a2) around 0 0.245 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 0.246 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 0.250 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 0.251 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 0.252 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 0.258 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 0.262 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 0.264 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 0.269 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 0.280 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 0.280 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 0.283 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 0.283 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 0.288 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 0.291 * [approximate]: Approximating (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in (th a1 a2) around 0 0.302 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 0.304 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 0.308 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 0.316 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 0.321 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 0.328 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 0.338 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 0.338 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 0.348 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 0.364 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 0.364 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 0.364 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 0.376 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 0.390 * [approximate]: Approximating (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in (th a1 a2) around 0 0.403 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 0.406 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 0.410 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 0.415 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 0.420 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 0.428 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 0.437 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 0.437 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 0.447 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 0.463 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 0.463 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 0.463 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 0.478 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 0.491 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.492 * [approximate]: Approximating (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0 0.492 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 0.492 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 0.493 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 0.495 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 0.497 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 0.498 * [approximate]: Approximating (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.511 * [approximate]: Approximating (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 0.523 * * * [progress]: simplifying candidates 0.525 * [simplify]: Simplifying using # : (- (log (cos th)) (log (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (neg (cos th)) (neg (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 1) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt 1)) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) 1) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (+ (- (log (cos th)) (log (sqrt 2.0))) (log (+ (* a1 a1) (* a2 a2)))) (+ (log (/ (cos th) (sqrt 2.0))) (log (+ (* a1 a1) (* a2 a2)))) (log (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (exp (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (* (* (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (sqrt 2.0) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (sqrt 2.0) (- (* a1 a1) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (* a1 a1) (/ (cos th) (sqrt 2.0))) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (cbrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (cbrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ 1 (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (/ (cos th) (sqrt 2.0)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (exp (* a1 a1)) (exp (* a2 a2))) (log (+ (* a1 a1) (* a2 a2))) (exp (+ (* a1 a1) (* a2 a2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (- (* a1 a1) (* a2 a2)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) 0.531 * * [simplify]: iteration 0 : 490 enodes (cost 872 ) 0.541 * * [simplify]: iteration 1 : 2426 enodes (cost 805 ) 0.572 * * [simplify]: iteration 2 : 5001 enodes (cost 791 ) 0.577 * [simplify]: Simplified to: (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (neg (cos th)) (neg (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (/ (fabs (cbrt 2.0)) (cbrt (cos th)))) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (fabs (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt 2.0))) (/ 1 (* (fabs (cbrt 2.0)) 1)) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (fabs (cbrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (log (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (log (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (exp (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (pow (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) 3) (pow (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) 3) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (pow (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) 3) (sqrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (* (* a1 a1) (* a1 a1))) (sqrt 2.0)) (* (/ (+ (* (neg (pow a2 3)) a2) (pow a1 4)) 1) (cos th)) (* (sqrt 2.0) (- (* a1 a1) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cos th) (sqrt 2.0)) (* (cbrt (/ (cos th) (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (cbrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (cbrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (/ (cos th) (sqrt 2.0)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2))) (exp (+ (* a1 a1) (* a2 a2))) (log (+ (pow a2 2) (pow a1 2))) (exp (+ (* a1 a1) (* a2 a2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2))) (pow (+ (pow a2 2) (pow a1 2)) 3) (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (- (pow a2 4) (- (* (* a1 a1) (* a2 a2)) (pow a1 4))) (+ (* (neg (pow a2 3)) a2) (pow a1 4)) (- (* a1 a1) (* a2 a2)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) 0.577 * * * [progress]: adding candidates to table 0.934 * * [progress]: iteration 2 / 4 0.934 * * * [progress]: picking best candidate 0.973 * * * * [pick]: Picked # 0.973 * * * [progress]: localizing error 0.984 * * * [progress]: generating rewritten candidates 0.984 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.993 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.999 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.004 * * * [progress]: generating series expansions 1.004 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.005 * [approximate]: Approximating (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in (th a1 a2) around 0 1.012 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.014 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.019 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.019 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.021 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.026 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.031 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.036 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.040 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.051 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.051 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.054 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.054 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.059 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.063 * [approximate]: Approximating (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in (th a1 a2) around 0 1.074 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 1.077 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 1.081 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 1.086 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 1.091 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 1.099 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 1.109 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 1.109 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 1.122 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 1.138 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 1.138 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 1.138 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 1.150 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 1.164 * [approximate]: Approximating (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in (th a1 a2) around 0 1.175 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 1.178 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 1.182 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 1.187 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 1.192 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 1.203 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 1.213 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 1.213 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 1.222 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 1.239 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 1.239 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 1.239 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 1.251 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 1.264 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.264 * [approximate]: Approximating (* (cos th) (+ (pow a2 2) (pow a1 2))) in (th a1 a2) around 0 1.265 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a1 1.265 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 1.266 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a1 1.266 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 1.267 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 1.269 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a1 1.270 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 1.270 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 1.271 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 1.275 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a1 1.275 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 1.276 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 1.276 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 1.281 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 1.282 * [approximate]: Approximating (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in (th a1 a2) around 0 1.285 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 1.286 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a2 1.287 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 1.291 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a2 1.294 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 1.299 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a2 1.303 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 1.303 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a2 1.310 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a2 1.321 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 1.321 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a2 1.321 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a2 1.329 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a2 1.337 * [approximate]: Approximating (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in (th a1 a2) around 0 1.340 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 1.342 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a2 1.343 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 1.347 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a2 1.349 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 1.354 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a2 1.359 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 1.359 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a2 1.368 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a2 1.378 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 1.378 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a2 1.378 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a2 1.386 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a2 1.394 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 1.394 * [approximate]: Approximating (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0 1.395 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 1.395 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 1.396 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 1.398 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 1.401 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 1.401 * [approximate]: Approximating (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0 1.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 1.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 1.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 1.415 * [approximate]: Approximating (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0 1.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 1.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 1.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 1.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 1.428 * * * [progress]: simplifying candidates 1.429 * [simplify]: Simplifying using # : (- (+ (log (cos th)) (log (+ (* a1 a1) (* a2 a2)))) (log (sqrt 2.0))) (- (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (log (sqrt 2.0))) (log (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (exp (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (/ (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (* (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (neg (* (cos th) (+ (* a1 a1) (* a2 a2)))) (neg (sqrt 2.0)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt 1)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (cos th) 1) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt 2.0) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2.0) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) (* (sqrt 2.0) (- (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2))) (+ (log (cos th)) (log (+ (* a1 a1) (* a2 a2)))) (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (exp (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (* (* (cos th) (cos th)) (cos th)) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (* (cbrt (* (cos th) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cos th) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cos th) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cos th) (* a1 a1)) (* (cos th) (* a2 a2)) (* (* a1 a1) (cos th)) (* (* a2 a2) (cos th)) (* (cos th) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cos th) 1) (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt (cos th)) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (exp (* a1 a1)) (exp (* a2 a2))) (log (+ (* a1 a1) (* a2 a2))) (exp (+ (* a1 a1) (* a2 a2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (- (* a1 a1) (* a2 a2)) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (pow a2 2) (pow a1 2)) (+ (* (cos th) (pow a2 2)) (* (pow a1 2) (cos th))) (+ (* (cos th) (pow a2 2)) (* (pow a1 2) (cos th))) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) 1.433 * * [simplify]: iteration 0 : 309 enodes (cost 564 ) 1.440 * * [simplify]: iteration 1 : 1642 enodes (cost 490 ) 1.469 * * [simplify]: iteration 2 : 5001 enodes (cost 481 ) 1.472 * [simplify]: Simplified to: (log (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (log (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (log (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (exp (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (pow (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)) 3) (pow (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)) 3) (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (pow (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)) 3) (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))) (neg (* (cos th) (+ (* a1 a1) (* a2 a2)))) (neg (sqrt 2.0)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (+ (pow a2 2) (pow a1 2)) (cbrt (sqrt 2.0))) (/ (cos th) (fabs (cbrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (sqrt 2.0))) (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (sqrt 2.0))) (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (/ (fabs (cbrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (* (cos th) (+ (* a1 a1) (* a2 a2))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (* (cos th) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) (* (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (* (* a1 a1) (* a1 a1))) (sqrt 2.0)) (* (sqrt 2.0) (- (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2))) (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (exp (* (cos th) (+ (* a1 a1) (* a2 a2)))) (pow (* (cos th) (+ (* a1 a1) (* a2 a2))) 3) (* (cbrt (* (cos th) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cos th) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (cos th) (+ (* a1 a1) (* a2 a2)))) (pow (* (cos th) (+ (* a1 a1) (* a2 a2))) 3) (sqrt (* (cos th) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cos th) (* a1 a1)) (* (cos th) (* a2 a2)) (* (cos th) (* a1 a1)) (* (cos th) (* a2 a2)) (* (cos th) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th) (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt (cos th)) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (/ (+ (* (neg (pow a2 3)) a2) (pow a1 4)) 1) (cos th)) (exp (+ (* a1 a1) (* a2 a2))) (log (+ (pow a2 2) (pow a1 2))) (exp (+ (* a1 a1) (* a2 a2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2))) (pow (+ (pow a2 2) (pow a1 2)) 3) (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))) (+ (pow a1 6) (pow a2 6)) (- (pow a2 4) (- (* (* a1 a1) (* a2 a2)) (pow a1 4))) (+ (* (neg (pow a2 3)) a2) (pow a1 4)) (- (* a1 a1) (* a2 a2)) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (pow a2 2) (pow a1 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2))) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) 1.472 * * * [progress]: adding candidates to table 1.670 * * [progress]: iteration 3 / 4 1.670 * * * [progress]: picking best candidate 1.706 * * * * [pick]: Picked # 1.706 * * * [progress]: localizing error 1.718 * * * [progress]: generating rewritten candidates 1.718 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.729 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.749 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 1.766 * * * [progress]: generating series expansions 1.766 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.767 * [approximate]: Approximating (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in (a2 a1) around 0 1.771 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1 1.775 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1 1.779 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1 1.787 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1 1.795 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1 1.798 * [approximate]: Approximating (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in (a2 a1) around 0 1.808 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1 1.811 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1 1.815 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1 1.824 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1 1.834 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1 1.850 * [approximate]: Approximating (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in (a2 a1) around 0 1.858 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1 1.861 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1 1.865 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1 1.874 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1 1.883 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1 1.890 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.890 * [approximate]: Approximating (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in (th a2 a1) around 0 1.898 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.899 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.904 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.904 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.905 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.911 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.915 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.917 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.921 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.938 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 1.938 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.941 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.941 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.945 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 1.949 * [approximate]: Approximating (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in (th a2 a1) around 0 1.959 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 1.962 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 1.966 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 1.971 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 1.976 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 1.984 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 1.994 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 1.994 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 2.003 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 2.026 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 2.026 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 2.026 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 2.037 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 2.051 * [approximate]: Approximating (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in (th a2 a1) around 0 2.062 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 2.064 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 2.068 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 2.074 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 2.079 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 2.086 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 2.102 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 2.103 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 2.112 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 2.128 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 2.128 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 2.128 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 2.140 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 2.154 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 2.154 * [approximate]: Approximating (+ (pow a2 2) (pow a1 2)) in (a2 a1) around 0 2.154 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 2.154 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 2.156 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 2.157 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 2.160 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 2.160 * [approximate]: Approximating (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a2 a1) around 0 2.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.179 * [approximate]: Approximating (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a2 a1) around 0 2.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.192 * * * [progress]: simplifying candidates 2.194 * [simplify]: Simplifying using # : (- (log (+ (pow a2 2) (pow a1 2))) (log (sqrt 2.0))) (log (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (exp (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (/ (* (* (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2))) (+ (pow a2 2) (pow a1 2))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (cbrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (cbrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (* (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (neg (+ (pow a2 2) (pow a1 2))) (neg (sqrt 2.0)) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (sqrt 2.0))) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (sqrt (cbrt 2.0))) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (sqrt (sqrt 2.0))) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (sqrt 1)) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (sqrt (sqrt 2.0))) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) 1) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (cbrt (sqrt 2.0))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (cbrt 2.0))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt 1)) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) 1) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (+ (pow a2 2) (pow a1 2)) (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (sqrt 2.0))) (/ 1 1) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ (pow 1 2) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (+ (pow a2 2) (pow a1 2)) (cbrt (sqrt 2.0))) (/ (pow 1 2) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (cbrt 2.0))) (/ (pow 1 2) (sqrt (sqrt 2.0))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (sqrt 2.0))) (/ (pow 1 2) (sqrt 1)) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ (pow 1 2) (sqrt (sqrt 2.0))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (sqrt 2.0))) (/ (pow 1 2) 1) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (+ (pow a2 2) (pow a1 2)) (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (sqrt 2.0))) (/ 1 1) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) (/ (+ (pow a2 2) (pow a1 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (sqrt 2.0))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 1)) (/ (+ (pow a2 2) (pow a1 2)) (sqrt (sqrt 2.0))) (/ (+ (pow a2 2) (pow a1 2)) 1) (/ (sqrt 2.0) (cbrt (+ (pow a2 2) (pow a1 2)))) (/ (sqrt 2.0) (sqrt (+ (pow a2 2) (pow a1 2)))) (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) (* (sqrt 2.0) (+ (* (pow a2 2) (pow a2 2)) (- (* (pow a1 2) (pow a1 2)) (* (pow a2 2) (pow a1 2))))) (* (sqrt 2.0) (- (pow a2 2) (pow a1 2))) (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (+ (log (cos th)) (- (log (+ (pow a2 2) (pow a1 2))) (log (sqrt 2.0)))) (+ (log (cos th)) (log (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (log (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (exp (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (* (* (* (cos th) (cos th)) (cos th)) (/ (* (* (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2))) (+ (pow a2 2) (pow a1 2))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))) (* (* (* (cos th) (cos th)) (cos th)) (* (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (* (cbrt (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (cbrt (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))))) (cbrt (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (* (* (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (sqrt (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (sqrt (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (* (sqrt (cos th)) (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (* (sqrt (cos th)) (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0)))) (* (sqrt (cos th)) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0)))) (* (cos th) (* (cbrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (cbrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))))) (* (cos th) (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (* (cos th) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cos th) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cos th) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (sqrt (sqrt 2.0)))) (* (cos th) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (sqrt 1))) (* (cos th) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (sqrt (sqrt 2.0)))) (* (cos th) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) 1)) (* (cos th) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cos th) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cos th) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0)))) (* (cos th) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt 1))) (* (cos th) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0)))) (* (cos th) (/ (sqrt (+ (pow a2 2) (pow a1 2))) 1)) (* (cos th) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cos th) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cos th) (/ 1 (sqrt (sqrt 2.0)))) (* (cos th) (/ 1 (sqrt 1))) (* (cos th) (/ 1 (sqrt (sqrt 2.0)))) (* (cos th) (/ 1 1)) (* (cos th) (/ (pow 1 2) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cos th) (/ (pow 1 2) (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cos th) (/ (pow 1 2) (sqrt (sqrt 2.0)))) (* (cos th) (/ (pow 1 2) (sqrt 1))) (* (cos th) (/ (pow 1 2) (sqrt (sqrt 2.0)))) (* (cos th) (/ (pow 1 2) 1)) (* (cos th) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cos th) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cos th) (/ 1 (sqrt (sqrt 2.0)))) (* (cos th) (/ 1 (sqrt 1))) (* (cos th) (/ 1 (sqrt (sqrt 2.0)))) (* (cos th) (/ 1 1)) (* (cos th) 1) (* (cos th) (+ (pow a2 2) (pow a1 2))) (* (cbrt (cos th)) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (* (sqrt (cos th)) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (* (cos th) (+ (pow a2 2) (pow a1 2))) (* (exp (pow a2 2)) (exp (pow a1 2))) (log (+ (pow a2 2) (pow a1 2))) (exp (+ (pow a2 2) (pow a1 2))) (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (cbrt (+ (pow a2 2) (pow a1 2))) (* (* (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2))) (+ (pow a2 2) (pow a1 2))) (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (+ (pow a2 2) (pow a1 2))) (+ (pow (pow a2 2) 3) (pow (pow a1 2) 3)) (+ (* (pow a2 2) (pow a2 2)) (- (* (pow a1 2) (pow a1 2)) (* (pow a2 2) (pow a1 2)))) (- (* (pow a2 2) (pow a2 2)) (* (pow a1 2) (pow a1 2))) (- (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) 2.201 * * [simplify]: iteration 0 : 344 enodes (cost 1118 ) 2.207 * * [simplify]: iteration 1 : 1557 enodes (cost 1023 ) 2.234 * * [simplify]: iteration 2 : 5001 enodes (cost 1018 ) 2.240 * [simplify]: Simplified to: (log (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (log (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (exp (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (pow (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) 3) (* (cbrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (cbrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (cbrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (pow (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) 3) (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (neg (+ (pow a2 2) (pow a1 2))) (neg (sqrt 2.0)) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (sqrt 2.0))) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (/ (fabs (cbrt 2.0)) (cbrt (+ (pow a2 2) (pow a1 2))))) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (sqrt (cbrt 2.0))) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (sqrt (sqrt 2.0))) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0))) (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (sqrt (sqrt 2.0))) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0))) (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (/ (cbrt (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (cbrt (sqrt 2.0))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (fabs (cbrt 2.0))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (cbrt 2.0))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0))) (sqrt (+ (pow a2 2) (pow a1 2))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0))) (sqrt (+ (pow a2 2) (pow a1 2))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (+ (pow 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(sqrt 2.0)))) (* (cos th) (* (cbrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (cbrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))))) (* (cos th) (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))) (* (cos th) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cos th) (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2))))) (fabs (cbrt 2.0))) (* (cos th) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (sqrt (sqrt 2.0)))) (* (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (cos th)) (* (cos th) (/ (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (sqrt (sqrt 2.0)))) (* (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (cos th)) (* (cos th) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cos th) (sqrt (+ (pow a2 2) (pow a1 2)))) (fabs (cbrt 2.0))) (* (cos th) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0)))) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th)) (* (cos th) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (sqrt 2.0)))) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (fabs (cbrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (fabs (cbrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (fabs (cbrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (cos th) (* (cos th) (+ (pow a2 2) (pow a1 2))) (* (cbrt (cos th)) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (* (sqrt (cos th)) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (* (cos th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (* (cos th) (+ (pow a2 2) (pow a1 2))) (exp (+ (pow a2 2) (pow a1 2))) (log (+ (pow a2 2) (pow a1 2))) (exp (+ (pow a2 2) (pow a1 2))) (* (cbrt (+ (pow a2 2) (pow a1 2))) (cbrt (+ (pow a2 2) (pow a1 2)))) (cbrt (+ (pow a2 2) (pow a1 2))) (pow (+ (pow a2 2) (pow a1 2)) 3) (sqrt (+ (pow a2 2) (pow a1 2))) (sqrt (+ (pow a2 2) (pow a1 2))) (+ (pow (pow a2 2) 3) (pow (pow a1 2) 3)) (- (+ (pow a2 4) (pow a1 4)) (* (pow a2 2) (pow a1 2))) (+ (pow a2 4) (neg (pow a1 4))) (- (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) 2.241 * * * [progress]: adding candidates to table 2.527 * * [progress]: iteration 4 / 4 2.527 * * * [progress]: picking best candidate 2.555 * * * * [pick]: Picked # 2.555 * * * [progress]: localizing error 2.570 * * * [progress]: generating rewritten candidates 2.570 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.576 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.593 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.653 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.720 * * * [progress]: generating series expansions 2.720 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.721 * [approximate]: Approximating (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 2.764 * [approximate]: Approximating (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 2.807 * [approximate]: Approximating (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 2.843 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.845 * [approximate]: Approximating (/ (cos th) (sqrt 2.0)) in (th) around 0 2.876 * [approximate]: Approximating (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 2.900 * [approximate]: Approximating (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 2.923 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.925 * [approximate]: Approximating (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in (th a1 a2) around 0 2.937 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 2.938 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 2.943 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 2.943 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 2.945 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 2.950 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 2.955 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 2.957 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 2.961 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 2.972 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 2.972 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 2.975 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 2.975 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 2.979 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 2.984 * [approximate]: Approximating (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in (th a1 a2) around 0 2.994 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 2.997 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 3.001 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 3.006 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 3.016 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 3.024 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 3.034 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 3.034 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 3.043 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 3.060 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 3.060 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 3.060 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 3.072 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 3.086 * [approximate]: Approximating (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in (th a1 a2) around 0 3.102 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 3.105 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 3.109 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 3.114 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 3.119 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 3.127 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 3.137 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 3.137 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 3.147 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 3.163 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 3.163 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 3.163 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 3.180 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 3.194 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.194 * [approximate]: Approximating (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0 3.194 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 3.195 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 3.196 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 3.198 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 3.200 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 3.200 * [approximate]: Approximating (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0 3.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 3.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 3.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 3.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 3.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 3.213 * [approximate]: Approximating (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0 3.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 3.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 3.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 3.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 3.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 3.226 * * * [progress]: simplifying candidates 3.239 * [simplify]: Simplifying using # : (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (exp (/ (cos th) (sqrt (sqrt 2.0)))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (neg (cos th)) (neg (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt 1))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 1))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 1) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 1))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt 1)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) 1) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)) (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (neg (/ (cos th) (sqrt (sqrt 2.0)))) (neg (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt 1))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt 1)) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 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(sqrt 2.0))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ 1 (sqrt 2.0))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ 1 (sqrt 2.0))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ 1 (sqrt 2.0))) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2.0))) (* (/ 1 (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (/ (cos th) (sqrt 2.0))) (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (/ (cos th) (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (exp (+ (* a1 a1) (* a2 a2))) (log (+ (pow a2 2) (pow a1 2))) (exp (+ (* a1 a1) (* a2 a2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2))) (pow (+ (pow a2 2) (pow a1 2)) 3) (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (- (pow a2 4) (- (* (* a1 a1) (* a2 a2)) (pow a1 4))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (- (* a1 a1) (* a2 a2)) (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0)))))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) (+ (pow a2 2) (pow a1 2)) 3.352 * * * [progress]: adding candidates to table 10.299 * [progress]: [Phase 3 of 3] Extracting. 10.300 * * [regime]: Finding splitpoints for: (# # # # # # # #) 10.301 * * * [regime-changes]: Trying 7 branch expressions: ((* a2 a2) (* a1 a1) (cos th) (/ (cos th) (sqrt 2.0)) th a2 a1) 10.301 * * * * [regimes]: Trying to branch on (* a2 a2) from (# # # # # # # #) 10.373 * * * * [regimes]: Trying to branch on (* a1 a1) from (# # # # # # # #) 10.444 * * * * [regimes]: Trying to branch on (cos th) from (# # # # # # # #) 10.516 * * * * [regimes]: Trying to branch on (/ (cos th) (sqrt 2.0)) from (# # # # # # # #) 10.591 * * * * [regimes]: Trying to branch on th from (# # # # # # # #) 10.664 * * * * [regimes]: Trying to branch on a2 from (# # # # # # # #) 10.737 * * * * [regimes]: Trying to branch on a1 from (# # # # # # # #) 10.810 * * * [regime]: Found split indices: #