0.816 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.321 * * * [progress]: [2/2] Setting up program. 0.325 * [progress]: [Phase 2 of 3] Improving. 0.327 * [simplify]: Simplifying using # : (sin (pow (sqrt (atan2 b b)) (- b a))) 0.330 * * [simplify]: iteration 0 : 13 enodes (cost 5 ) 0.332 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.333 * * [simplify]: iteration 2 : 44 enodes (cost 5 ) 0.335 * * [simplify]: iteration 3 : 114 enodes (cost 5 ) 0.337 * * [simplify]: iteration 4 : 315 enodes (cost 5 ) 0.345 * * [simplify]: iteration 5 : 1609 enodes (cost 5 ) 0.380 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.381 * [simplify]: Simplified to: (sin (pow (sqrt (atan2 b b)) (- b a))) 0.382 * * [progress]: iteration 1 / 4 0.382 * * * [progress]: picking best candidate 0.385 * * * * [pick]: Picked # 0.385 * * * [progress]: localizing error 0.396 * * * [progress]: generating rewritten candidates 0.396 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.399 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.405 * * * [progress]: generating series expansions 0.405 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.409 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.409 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.409 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.410 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.411 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.414 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.414 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.415 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.415 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.418 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.418 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.418 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.418 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.418 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.422 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.422 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in (b a) around 0 0.422 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in a 0.422 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in a 0.422 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in a 0.422 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in a 0.422 * [taylor]: Taking taylor expansion of (- b a) in a 0.422 * [taylor]: Taking taylor expansion of b in a 0.422 * [taylor]: Taking taylor expansion of a in a 0.431 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.431 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.431 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.433 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.433 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.433 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.433 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.433 * [taylor]: Taking taylor expansion of (- b a) in b 0.433 * [taylor]: Taking taylor expansion of b in b 0.433 * [taylor]: Taking taylor expansion of a in b 0.433 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.433 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.433 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.433 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.433 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.433 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.433 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.433 * [taylor]: Taking taylor expansion of (- b a) in b 0.433 * [taylor]: Taking taylor expansion of b in b 0.433 * [taylor]: Taking taylor expansion of a in b 0.433 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.433 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.433 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.434 * [taylor]: Taking taylor expansion of (sin (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.435 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.435 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.435 * [taylor]: Taking taylor expansion of -1 in a 0.435 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.435 * [taylor]: Taking taylor expansion of a in a 0.435 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.435 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.435 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.444 * [taylor]: Taking taylor expansion of (* (cos (exp (* -1 (* a (log (sqrt (atan2 b b))))))) (* (exp (* -1 (* a (log (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))))) in a 0.444 * [taylor]: Taking taylor expansion of (cos (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.444 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.444 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.444 * [taylor]: Taking taylor expansion of -1 in a 0.444 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.444 * [taylor]: Taking taylor expansion of a in a 0.444 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.444 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.444 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.446 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* a (log (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b)))) in a 0.446 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.446 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.446 * [taylor]: Taking taylor expansion of -1 in a 0.446 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.446 * [taylor]: Taking taylor expansion of a in a 0.446 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.446 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.446 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.448 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.448 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.448 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.455 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 0.455 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in a 0.455 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a 0.455 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in a 0.455 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in a 0.455 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.455 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.455 * [taylor]: Taking taylor expansion of b in a 0.455 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.455 * [taylor]: Taking taylor expansion of a in a 0.456 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.456 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.456 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.457 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.457 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.457 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.457 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.457 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.457 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.457 * [taylor]: Taking taylor expansion of b in b 0.457 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.457 * [taylor]: Taking taylor expansion of a in b 0.458 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.458 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.458 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.459 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.459 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.459 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.459 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.459 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.459 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.459 * [taylor]: Taking taylor expansion of b in b 0.459 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.459 * [taylor]: Taking taylor expansion of a in b 0.459 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.459 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.459 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.461 * [taylor]: Taking taylor expansion of (sin (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))))) in a 0.461 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) in a 0.461 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a 0.461 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.461 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.461 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.461 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.461 * [taylor]: Taking taylor expansion of b in a 0.461 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.461 * [taylor]: Taking taylor expansion of a in a 0.465 * [taylor]: Taking taylor expansion of 0 in a 0.470 * [taylor]: Taking taylor expansion of 0 in a 0.475 * [taylor]: Taking taylor expansion of 0 in a 0.475 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in (b a) around 0 0.475 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.475 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.475 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.476 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.476 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.476 * [taylor]: Taking taylor expansion of a in a 0.476 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.476 * [taylor]: Taking taylor expansion of b in a 0.476 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.476 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.476 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.477 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.477 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.477 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.478 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.478 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.478 * [taylor]: Taking taylor expansion of a in b 0.478 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.478 * [taylor]: Taking taylor expansion of b in b 0.478 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.478 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.478 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.480 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.480 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.480 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.480 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.480 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.480 * [taylor]: Taking taylor expansion of a in b 0.480 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.480 * [taylor]: Taking taylor expansion of b in b 0.480 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.480 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.480 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.482 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.482 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.482 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.482 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.482 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.482 * [taylor]: Taking taylor expansion of a in a 0.482 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.482 * [taylor]: Taking taylor expansion of b in a 0.482 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.482 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.482 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.486 * [taylor]: Taking taylor expansion of 0 in a 0.490 * [taylor]: Taking taylor expansion of 0 in a 0.495 * [taylor]: Taking taylor expansion of 0 in a 0.495 * * * [progress]: simplifying candidates 0.496 * [simplify]: Simplifying using # : (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (* (* (sqrt (atan2 b b)) (sqrt (atan2 b b))) (sqrt (atan2 b b))) (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt 1) (sqrt (atan2 b b)) (/ 1 2) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (log (sin (pow (sqrt (atan2 b b)) (- b a)))) (exp (sin (pow (sqrt (atan2 b b)) (- b a)))) (* (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a))))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (* (* (sin (pow (sqrt (atan2 b b)) (- b a))) (sin (pow (sqrt (atan2 b b)) (- b a)))) (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (- (+ (* (cos 1) (* b (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (sin (pow (sqrt (atan2 b b)) (- b a))) (sin (pow (sqrt (atan2 b b)) (- b a))) 0.499 * * [simplify]: iteration 0 : 60 enodes (cost 132 ) 0.500 * * [simplify]: iteration 1 : 102 enodes (cost 120 ) 0.502 * * [simplify]: iteration 2 : 172 enodes (cost 114 ) 0.506 * * [simplify]: iteration 3 : 291 enodes (cost 114 ) 0.510 * * [simplify]: iteration 4 : 566 enodes (cost 114 ) 0.521 * * [simplify]: iteration 5 : 2095 enodes (cost 114 ) 0.558 * * [simplify]: iteration 6 : 5002 enodes (cost 113 ) 0.560 * [simplify]: Simplified to: (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (pow (sqrt (atan2 b b)) 3) (fabs (cbrt (atan2 b b))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) 1 (sqrt (atan2 b b)) 1/2 (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (log (sin (pow (sqrt (atan2 b b)) (- b a)))) (exp (sin (pow (sqrt (atan2 b b)) (- b a)))) (* (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a))))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) (sin (pow (sqrt (atan2 b b)) (- b a))) (sin (pow (sqrt (atan2 b b)) (- b a))) 0.560 * * * [progress]: adding candidates to table 0.625 * * [progress]: iteration 2 / 4 0.625 * * * [progress]: picking best candidate 0.630 * * * * [pick]: Picked # 0.631 * * * [progress]: localizing error 0.644 * * * [progress]: generating rewritten candidates 0.644 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.646 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.651 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.652 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.668 * * * [progress]: generating series expansions 0.668 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.668 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 0.668 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.669 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.669 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.669 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.669 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.669 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.692 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 0.692 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.692 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.692 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.692 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.692 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.692 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.715 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 0.715 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.715 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.715 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.715 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.715 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.715 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.741 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.741 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 0.741 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.741 * [taylor]: Taking taylor expansion of (cos 1) in b 0.741 * [taylor]: Taking taylor expansion of 1 in b 0.742 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.742 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.742 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.742 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.742 * [taylor]: Taking taylor expansion of (cos 1) in b 0.742 * [taylor]: Taking taylor expansion of 1 in b 0.742 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.742 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.742 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.794 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 0.794 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.794 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.794 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.794 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.794 * [taylor]: Taking taylor expansion of (cos 1) in b 0.794 * [taylor]: Taking taylor expansion of 1 in b 0.795 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.795 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.795 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.795 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.795 * [taylor]: Taking taylor expansion of (cos 1) in b 0.795 * [taylor]: Taking taylor expansion of 1 in b 0.848 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 0.848 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.848 * [taylor]: Taking taylor expansion of (cos 1) in b 0.848 * [taylor]: Taking taylor expansion of 1 in b 0.848 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.848 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.848 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.849 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.849 * [taylor]: Taking taylor expansion of (cos 1) in b 0.849 * [taylor]: Taking taylor expansion of 1 in b 0.849 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.849 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.849 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.903 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 0.903 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.903 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.903 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.903 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.903 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.906 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.906 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.906 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.906 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.906 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.909 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.909 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.909 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.909 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.909 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.913 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.913 * [approximate]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in (b a) around 0 0.913 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in a 0.913 * [taylor]: Taking taylor expansion of (- b a) in a 0.913 * [taylor]: Taking taylor expansion of b in a 0.913 * [taylor]: Taking taylor expansion of a in a 0.913 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.913 * [taylor]: Taking taylor expansion of (cos 1) in a 0.913 * [taylor]: Taking taylor expansion of 1 in a 0.914 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.914 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.914 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.914 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in b 0.914 * [taylor]: Taking taylor expansion of (- b a) in b 0.914 * [taylor]: Taking taylor expansion of b in b 0.914 * [taylor]: Taking taylor expansion of a in b 0.914 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.914 * [taylor]: Taking taylor expansion of (cos 1) in b 0.914 * [taylor]: Taking taylor expansion of 1 in b 0.914 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.914 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.914 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.915 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in b 0.915 * [taylor]: Taking taylor expansion of (- b a) in b 0.915 * [taylor]: Taking taylor expansion of b in b 0.915 * [taylor]: Taking taylor expansion of a in b 0.915 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.915 * [taylor]: Taking taylor expansion of (cos 1) in b 0.915 * [taylor]: Taking taylor expansion of 1 in b 0.915 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.915 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.915 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.918 * [taylor]: Taking taylor expansion of (* -1 (* a (* (cos 1) (log (sqrt (atan2 b b)))))) in a 0.918 * [taylor]: Taking taylor expansion of -1 in a 0.918 * [taylor]: Taking taylor expansion of (* a (* (cos 1) (log (sqrt (atan2 b b))))) in a 0.918 * [taylor]: Taking taylor expansion of a in a 0.918 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.918 * [taylor]: Taking taylor expansion of (cos 1) in a 0.918 * [taylor]: Taking taylor expansion of 1 in a 0.918 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.918 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.918 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.924 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.924 * [taylor]: Taking taylor expansion of (cos 1) in a 0.924 * [taylor]: Taking taylor expansion of 1 in a 0.925 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.925 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.925 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.937 * [taylor]: Taking taylor expansion of 0 in a 0.953 * [taylor]: Taking taylor expansion of 0 in a 0.959 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 0.959 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in a 0.959 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.959 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.959 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.959 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in a 0.959 * [taylor]: Taking taylor expansion of (cos 1) in a 0.959 * [taylor]: Taking taylor expansion of 1 in a 0.960 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.960 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.960 * [taylor]: Taking taylor expansion of b in a 0.960 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.960 * [taylor]: Taking taylor expansion of a in a 0.960 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in b 0.960 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.960 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.960 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.960 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in b 0.960 * [taylor]: Taking taylor expansion of (cos 1) in b 0.960 * [taylor]: Taking taylor expansion of 1 in b 0.961 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.961 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.961 * [taylor]: Taking taylor expansion of b in b 0.961 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.961 * [taylor]: Taking taylor expansion of a in b 0.961 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in b 0.961 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.961 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.961 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.962 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in b 0.962 * [taylor]: Taking taylor expansion of (cos 1) in b 0.962 * [taylor]: Taking taylor expansion of 1 in b 0.962 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.962 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.962 * [taylor]: Taking taylor expansion of b in b 0.962 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.962 * [taylor]: Taking taylor expansion of a in b 0.965 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.965 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.965 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.965 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.965 * [taylor]: Taking taylor expansion of (cos 1) in a 0.965 * [taylor]: Taking taylor expansion of 1 in a 0.973 * [taylor]: Taking taylor expansion of (- (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a)) in a 0.973 * [taylor]: Taking taylor expansion of (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a) in a 0.973 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.973 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.973 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.973 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.974 * [taylor]: Taking taylor expansion of (cos 1) in a 0.974 * [taylor]: Taking taylor expansion of 1 in a 0.974 * [taylor]: Taking taylor expansion of a in a 0.985 * [taylor]: Taking taylor expansion of 0 in a 1.000 * [taylor]: Taking taylor expansion of 0 in a 1.022 * [taylor]: Taking taylor expansion of 0 in a 1.024 * [approximate]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in (b a) around 0 1.024 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 1.024 * [taylor]: Taking taylor expansion of (cos 1) in a 1.024 * [taylor]: Taking taylor expansion of 1 in a 1.024 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.024 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.024 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.024 * [taylor]: Taking taylor expansion of a in a 1.025 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.025 * [taylor]: Taking taylor expansion of b in a 1.025 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.025 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.025 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.025 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 1.025 * [taylor]: Taking taylor expansion of (cos 1) in b 1.025 * [taylor]: Taking taylor expansion of 1 in b 1.026 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.026 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.026 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.026 * [taylor]: Taking taylor expansion of a in b 1.026 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.026 * [taylor]: Taking taylor expansion of b in b 1.026 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.026 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.026 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.026 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 1.026 * [taylor]: Taking taylor expansion of (cos 1) in b 1.026 * [taylor]: Taking taylor expansion of 1 in b 1.027 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.027 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.027 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.027 * [taylor]: Taking taylor expansion of a in b 1.027 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.027 * [taylor]: Taking taylor expansion of b in b 1.027 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.027 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.027 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.030 * [taylor]: Taking taylor expansion of (* -1 (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 1.030 * [taylor]: Taking taylor expansion of -1 in a 1.030 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.030 * [taylor]: Taking taylor expansion of (cos 1) in a 1.030 * [taylor]: Taking taylor expansion of 1 in a 1.030 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.030 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.031 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.035 * [taylor]: Taking taylor expansion of (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) in a 1.035 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.035 * [taylor]: Taking taylor expansion of (cos 1) in a 1.035 * [taylor]: Taking taylor expansion of 1 in a 1.035 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.035 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.035 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.036 * [taylor]: Taking taylor expansion of a in a 1.047 * [taylor]: Taking taylor expansion of 0 in a 1.065 * [taylor]: Taking taylor expansion of 0 in a 1.087 * [taylor]: Taking taylor expansion of 0 in a 1.088 * * * [progress]: simplifying candidates 1.089 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt 1)) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log 1) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (sqrt (atan2 b b)))) (exp (log (sqrt (atan2 b b)))) (* (cbrt (log (sqrt (atan2 b b)))) (cbrt (log (sqrt (atan2 b b))))) (cbrt (log (sqrt (atan2 b b)))) (* (* (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b)))) (sqrt (log (sqrt (atan2 b b)))) (sqrt (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (+ (log (cos 1)) (log (log (sqrt (atan2 b b))))) (log (* (cos 1) (log (sqrt (atan2 b b))))) (exp (* (cos 1) (log (sqrt (atan2 b b))))) (* (* (* (cos 1) (cos 1)) (cos 1)) (* (* (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))))) (* (cbrt (* (cos 1) (log (sqrt (atan2 b b))))) (cbrt (* (cos 1) (log (sqrt (atan2 b b)))))) (cbrt (* (cos 1) (log (sqrt (atan2 b b))))) (* (* (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b))))) (sqrt (* (cos 1) (log (sqrt (atan2 b b))))) (sqrt (* (cos 1) (log (sqrt (atan2 b b))))) (* (sqrt (cos 1)) (sqrt (log (sqrt (atan2 b b))))) (* (sqrt (cos 1)) (sqrt (log (sqrt (atan2 b b))))) (* (cos 1) (log (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt 1))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log 1)) (* (cos 1) (log (sqrt (atan2 b b)))) (* (log (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))) (cos 1)) (* (log (cbrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))) (cos 1)) (* (log (sqrt (cbrt (atan2 b b)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt 1)) (cos 1)) (* (log (sqrt (atan2 b b))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log 1) (cos 1)) (* (log (sqrt (atan2 b b))) (cos 1)) (* (cos 1) 1/2) (* (cos 1) 1) (* (cos 1) (/ 1 2)) (* (cos 1) (* (cbrt (log (sqrt (atan2 b b)))) (cbrt (log (sqrt (atan2 b b)))))) (* (cos 1) (sqrt (log (sqrt (atan2 b b))))) (* (cos 1) 1) (* (cbrt (cos 1)) (log (sqrt (atan2 b b)))) (* (sqrt (cos 1)) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (* (* (sqrt (atan2 b b)) (sqrt (atan2 b b))) (sqrt (atan2 b b))) (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt 1) (sqrt (atan2 b b)) (/ 1 2) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (+ (+ (log (cos 1)) (log (log (sqrt (atan2 b b))))) (log (- b a))) (+ (log (* (cos 1) (log (sqrt (atan2 b b))))) (log (- b a))) (log (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (exp (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (* (* (cos 1) (cos 1)) (cos 1)) (* (* (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))))) (* (* (- b a) (- b a)) (- b a))) (* (* (* (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b))))) (* (* (- b a) (- b a)) (- b a))) (* (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)))) (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (sqrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (sqrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* b (* (cos 1) (log (sqrt (atan2 b b))))) (* (- a) (* (cos 1) (log (sqrt (atan2 b b))))) (* b (* (cos 1) (log (sqrt (atan2 b b))))) (* (- a) (* (cos 1) (log (sqrt (atan2 b b))))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) 1) (* (* (cos 1) (log (sqrt (atan2 b b)))) (+ (sqrt b) (sqrt a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) 1) (* (log (sqrt (atan2 b b))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (pow b 3) (pow a 3))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (* b b) (* a a))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (- (* (cos 1) (* b (log (sqrt (atan2 b b))))) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (* (cos 1) (* b (log (sqrt (atan2 b b))))) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (* (cos 1) (* b (log (sqrt (atan2 b b))))) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) 1.094 * * [simplify]: iteration 0 : 240 enodes (cost 758 ) 1.099 * * [simplify]: iteration 1 : 1120 enodes (cost 651 ) 1.122 * * [simplify]: iteration 2 : 4795 enodes (cost 634 ) 1.195 * * [simplify]: iteration 3 : 5001 enodes (cost 634 ) 1.198 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (* (cbrt (log (sqrt (atan2 b b)))) (cbrt (log (sqrt (atan2 b b))))) (cbrt (log (sqrt (atan2 b b)))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (sqrt (atan2 b b)))) (sqrt (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (log (* (cos 1) (log (sqrt (atan2 b b))))) (log (* (cos 1) (log (sqrt (atan2 b b))))) (pow (sqrt (atan2 b b)) (cos 1)) (pow (* (cos 1) (log (sqrt (atan2 b b)))) 3) (* (cbrt (* (cos 1) (log (sqrt (atan2 b b))))) (cbrt (* (cos 1) (log (sqrt (atan2 b b)))))) (cbrt (* (cos 1) (log (sqrt (atan2 b b))))) (pow (* (cos 1) (log (sqrt (atan2 b b)))) 3) (sqrt (* (cos 1) (log (sqrt (atan2 b b))))) (sqrt (* (cos 1) (log (sqrt (atan2 b b))))) (* (sqrt (cos 1)) (sqrt (log (sqrt (atan2 b b))))) (* (sqrt (cos 1)) (sqrt (log (sqrt (atan2 b b))))) (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) 1/2) (cos 1) (* (cos 1) 1/2) (* (cos 1) (* (cbrt (log (sqrt (atan2 b b)))) (cbrt (log (sqrt (atan2 b b)))))) (* (cos 1) (sqrt (log (sqrt (atan2 b b))))) (cos 1) (* (cbrt (cos 1)) (log (sqrt (atan2 b b)))) (* (sqrt (cos 1)) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (pow (sqrt (atan2 b b)) 3) (fabs (cbrt (atan2 b b))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) 1 (sqrt (atan2 b b)) 1/2 (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (log (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (log (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (log (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (pow (sqrt (atan2 b b)) (* (cos 1) (- b a))) (pow (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) 3) (pow (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) 3) (* (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)))) (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (pow (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) 3) (sqrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (sqrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (- b a))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (+ (sqrt b) (sqrt a))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (log (sqrt (atan2 b b))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (pow b 3) (pow a 3))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (* b b) (* a a))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) 1.199 * * * [progress]: adding candidates to table 1.414 * * [progress]: iteration 3 / 4 1.414 * * * [progress]: picking best candidate 1.418 * * * * [pick]: Picked # 1.418 * * * [progress]: localizing error 1.438 * * * [progress]: generating rewritten candidates 1.438 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.440 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1 1) 1.441 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.448 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.464 * * * [progress]: generating series expansions 1.464 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.464 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 1.464 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.464 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.464 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.464 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.464 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.464 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.486 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 1.486 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.486 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.486 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.486 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.486 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.486 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.513 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 1.513 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.513 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.513 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.514 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.514 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.514 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.536 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1 1) 1.536 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 1.536 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.536 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.536 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.536 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.539 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 1.539 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.539 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.539 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.539 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.542 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 1.542 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.542 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.542 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.542 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.545 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.546 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 1.546 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.546 * [taylor]: Taking taylor expansion of (cos 1) in b 1.546 * [taylor]: Taking taylor expansion of 1 in b 1.546 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.546 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.547 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.547 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.547 * [taylor]: Taking taylor expansion of (cos 1) in b 1.547 * [taylor]: Taking taylor expansion of 1 in b 1.547 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.547 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.547 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.601 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 1.601 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.601 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.601 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.601 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.601 * [taylor]: Taking taylor expansion of (cos 1) in b 1.601 * [taylor]: Taking taylor expansion of 1 in b 1.602 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.602 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.602 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.602 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.602 * [taylor]: Taking taylor expansion of (cos 1) in b 1.602 * [taylor]: Taking taylor expansion of 1 in b 1.652 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 1.652 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.652 * [taylor]: Taking taylor expansion of (cos 1) in b 1.652 * [taylor]: Taking taylor expansion of 1 in b 1.652 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.652 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.652 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.653 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.653 * [taylor]: Taking taylor expansion of (cos 1) in b 1.653 * [taylor]: Taking taylor expansion of 1 in b 1.653 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.653 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.653 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.708 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.709 * [approximate]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in (b a) around 0 1.709 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in a 1.709 * [taylor]: Taking taylor expansion of (- b a) in a 1.709 * [taylor]: Taking taylor expansion of b in a 1.709 * [taylor]: Taking taylor expansion of a in a 1.709 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 1.709 * [taylor]: Taking taylor expansion of (cos 1) in a 1.709 * [taylor]: Taking taylor expansion of 1 in a 1.709 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 1.710 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 1.710 * [taylor]: Taking taylor expansion of (atan2 b b) in a 1.710 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in b 1.710 * [taylor]: Taking taylor expansion of (- b a) in b 1.710 * [taylor]: Taking taylor expansion of b in b 1.710 * [taylor]: Taking taylor expansion of a in b 1.710 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.710 * [taylor]: Taking taylor expansion of (cos 1) in b 1.710 * [taylor]: Taking taylor expansion of 1 in b 1.710 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.710 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.710 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.711 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in b 1.711 * [taylor]: Taking taylor expansion of (- b a) in b 1.711 * [taylor]: Taking taylor expansion of b in b 1.711 * [taylor]: Taking taylor expansion of a in b 1.711 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.711 * [taylor]: Taking taylor expansion of (cos 1) in b 1.711 * [taylor]: Taking taylor expansion of 1 in b 1.711 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.711 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.711 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.714 * [taylor]: Taking taylor expansion of (* -1 (* a (* (cos 1) (log (sqrt (atan2 b b)))))) in a 1.714 * [taylor]: Taking taylor expansion of -1 in a 1.714 * [taylor]: Taking taylor expansion of (* a (* (cos 1) (log (sqrt (atan2 b b))))) in a 1.714 * [taylor]: Taking taylor expansion of a in a 1.714 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 1.714 * [taylor]: Taking taylor expansion of (cos 1) in a 1.714 * [taylor]: Taking taylor expansion of 1 in a 1.714 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 1.714 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 1.714 * [taylor]: Taking taylor expansion of (atan2 b b) in a 1.720 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 1.720 * [taylor]: Taking taylor expansion of (cos 1) in a 1.720 * [taylor]: Taking taylor expansion of 1 in a 1.721 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 1.721 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 1.721 * [taylor]: Taking taylor expansion of (atan2 b b) in a 1.733 * [taylor]: Taking taylor expansion of 0 in a 1.749 * [taylor]: Taking taylor expansion of 0 in a 1.755 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 1.755 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in a 1.755 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 1.755 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 1.755 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 1.755 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in a 1.755 * [taylor]: Taking taylor expansion of (cos 1) in a 1.755 * [taylor]: Taking taylor expansion of 1 in a 1.756 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.756 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.756 * [taylor]: Taking taylor expansion of b in a 1.756 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.756 * [taylor]: Taking taylor expansion of a in a 1.756 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in b 1.756 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.756 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.756 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.756 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in b 1.756 * [taylor]: Taking taylor expansion of (cos 1) in b 1.756 * [taylor]: Taking taylor expansion of 1 in b 1.757 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.757 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.757 * [taylor]: Taking taylor expansion of b in b 1.757 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.757 * [taylor]: Taking taylor expansion of a in b 1.757 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in b 1.757 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.757 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.757 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.757 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in b 1.757 * [taylor]: Taking taylor expansion of (cos 1) in b 1.757 * [taylor]: Taking taylor expansion of 1 in b 1.758 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.758 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.758 * [taylor]: Taking taylor expansion of b in b 1.758 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.758 * [taylor]: Taking taylor expansion of a in b 1.764 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 1.764 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 1.764 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 1.764 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 1.764 * [taylor]: Taking taylor expansion of (cos 1) in a 1.764 * [taylor]: Taking taylor expansion of 1 in a 1.769 * [taylor]: Taking taylor expansion of (- (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a)) in a 1.769 * [taylor]: Taking taylor expansion of (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a) in a 1.769 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 1.769 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 1.769 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 1.769 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 1.770 * [taylor]: Taking taylor expansion of (cos 1) in a 1.770 * [taylor]: Taking taylor expansion of 1 in a 1.770 * [taylor]: Taking taylor expansion of a in a 1.781 * [taylor]: Taking taylor expansion of 0 in a 1.796 * [taylor]: Taking taylor expansion of 0 in a 1.817 * [taylor]: Taking taylor expansion of 0 in a 1.818 * [approximate]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in (b a) around 0 1.819 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 1.819 * [taylor]: Taking taylor expansion of (cos 1) in a 1.819 * [taylor]: Taking taylor expansion of 1 in a 1.819 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.819 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.819 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.819 * [taylor]: Taking taylor expansion of a in a 1.819 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.819 * [taylor]: Taking taylor expansion of b in a 1.819 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.819 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.819 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.820 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 1.820 * [taylor]: Taking taylor expansion of (cos 1) in b 1.820 * [taylor]: Taking taylor expansion of 1 in b 1.820 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.820 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.820 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.820 * [taylor]: Taking taylor expansion of a in b 1.820 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.820 * [taylor]: Taking taylor expansion of b in b 1.821 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.821 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.821 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.821 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 1.821 * [taylor]: Taking taylor expansion of (cos 1) in b 1.821 * [taylor]: Taking taylor expansion of 1 in b 1.821 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.821 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.821 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.822 * [taylor]: Taking taylor expansion of a in b 1.822 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.822 * [taylor]: Taking taylor expansion of b in b 1.822 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.822 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.822 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.825 * [taylor]: Taking taylor expansion of (* -1 (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 1.825 * [taylor]: Taking taylor expansion of -1 in a 1.825 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.825 * [taylor]: Taking taylor expansion of (cos 1) in a 1.825 * [taylor]: Taking taylor expansion of 1 in a 1.825 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.825 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.825 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.829 * [taylor]: Taking taylor expansion of (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) in a 1.829 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.829 * [taylor]: Taking taylor expansion of (cos 1) in a 1.829 * [taylor]: Taking taylor expansion of 1 in a 1.830 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.830 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.830 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.830 * [taylor]: Taking taylor expansion of a in a 1.842 * [taylor]: Taking taylor expansion of 0 in a 1.861 * [taylor]: Taking taylor expansion of 0 in a 1.882 * [taylor]: Taking taylor expansion of 0 in a 1.883 * * * [progress]: simplifying candidates 1.885 * [simplify]: Simplifying using # : (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (log (exp (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp (sqrt 1)))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp 1))) (log (* (cbrt (log (exp (sqrt (atan2 b b))))) (cbrt (log (exp (sqrt (atan2 b b))))))) (log (cbrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b))))) (log (log (log (exp (sqrt (atan2 b b)))))) (exp (log (log (exp (sqrt (atan2 b b)))))) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (* (* (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b)))))) (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (* (* (sqrt (atan2 b b)) (sqrt (atan2 b b))) (sqrt (atan2 b b))) (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt 1) (sqrt (atan2 b b)) (/ 1 2) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (+ (log (cos 1)) 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(log (sqrt (atan2 b b))))) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) 1.891 * * [simplify]: iteration 0 : 272 enodes (cost 1002 ) 1.896 * * [simplify]: iteration 1 : 1189 enodes (cost 805 ) 1.919 * * [simplify]: iteration 2 : 4618 enodes (cost 768 ) 1.992 * * [simplify]: iteration 3 : 5001 enodes (cost 768 ) 1.996 * [simplify]: Simplified to: 0 (log (sqrt (atan2 b b))) (log (cbrt (sqrt (atan2 b b)))) (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (* (cbrt (log (log (exp (sqrt (atan2 b 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b)))))) (* (cos 1) (* b (log (sqrt (atan2 b b))))) (- (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (* (cos 1) (* b (log (sqrt (atan2 b b))))) (- (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (* (* (* (cos 1) (log (sqrt (atan2 b b)))) (cbrt (- b a))) (cbrt (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (- b a))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (+ (sqrt b) (sqrt a))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (log (sqrt (atan2 b b))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (pow b 3) (pow a 3))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (* b b) (* a a))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (* (cos 1) (- b a)) (log (sqrt (atan2 b b)))) (* (* (cos 1) (- b a)) (log (sqrt (atan2 b b)))) (* (* (cos 1) (- b a)) (log (sqrt (atan2 b b)))) 1.997 * * * [progress]: adding candidates to table 2.261 * * [progress]: iteration 4 / 4 2.261 * * * [progress]: picking best candidate 2.265 * * * * [pick]: Picked # 2.265 * * * [progress]: localizing error 2.286 * * * [progress]: generating rewritten candidates 2.286 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 1) 2.291 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 2 1) 2.293 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1) 2.295 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1 1 1 1) 2.298 * * * [progress]: generating series expansions 2.298 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 1) 2.298 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.298 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.298 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.298 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.298 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.298 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.298 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.320 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.320 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.320 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.320 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.320 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.320 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.320 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.342 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.342 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.342 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.342 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.342 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.342 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.342 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.364 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 2 1) 2.364 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.364 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.364 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.364 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.365 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.365 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.365 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.391 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.391 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.391 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.391 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.391 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.391 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.391 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.414 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.414 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.414 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.414 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.414 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.414 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.414 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.436 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 1) 2.436 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.436 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.436 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.436 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.436 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.436 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.436 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.457 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.457 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.457 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.457 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.458 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.458 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.458 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.485 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.485 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.485 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.485 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.485 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.485 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.485 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.507 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1 1 1 1) 2.507 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 2.507 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.507 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.507 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.507 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.510 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 2.510 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.510 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.510 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.510 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.513 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 2.513 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.513 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.513 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.513 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.517 * * * [progress]: simplifying candidates 2.518 * [simplify]: Simplifying using # : (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (log (exp (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp (sqrt 1)))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp 1))) (log (* (cbrt (log (exp (sqrt (atan2 b b))))) (cbrt (log (exp (sqrt (atan2 b b))))))) (log (cbrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b))))) (log (log (log (exp (sqrt (atan2 b b)))))) (exp (log (log (exp (sqrt (atan2 b b)))))) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (* (* (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b)))))) (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (log (exp (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp (sqrt 1)))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp 1))) (log (* (cbrt (log (exp (sqrt (atan2 b b))))) (cbrt (log (exp (sqrt (atan2 b b))))))) (log (cbrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b))))) (log (log (log (exp (sqrt (atan2 b b)))))) (exp (log (log (exp (sqrt (atan2 b b)))))) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (* (* (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b)))))) (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (log (exp (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp (sqrt 1)))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp 1))) (log (* (cbrt (log (exp (sqrt (atan2 b b))))) (cbrt (log (exp (sqrt (atan2 b b))))))) (log (cbrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b))))) (log (log (log (exp (sqrt (atan2 b b)))))) (exp (log (log (exp (sqrt (atan2 b b)))))) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (* (* (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b)))))) (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (* (* (sqrt (atan2 b b)) (sqrt (atan2 b b))) (sqrt (atan2 b b))) (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt 1) (sqrt (atan2 b b)) (/ 1 2) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) 2.521 * * [simplify]: iteration 0 : 61 enodes (cost 503 ) 2.523 * * [simplify]: iteration 1 : 85 enodes (cost 424 ) 2.524 * * [simplify]: iteration 2 : 114 enodes (cost 424 ) 2.526 * * [simplify]: iteration 3 : 151 enodes (cost 424 ) 2.528 * * [simplify]: iteration 4 : 278 enodes (cost 424 ) 2.533 * * [simplify]: iteration 5 : 748 enodes (cost 424 ) 2.549 * * [simplify]: iteration 6 : 3455 enodes (cost 423 ) 2.607 * * [simplify]: iteration 7 : 5001 enodes (cost 404 ) 2.609 * [simplify]: Simplified to: 0 (log (sqrt (atan2 b b))) (log (cbrt (sqrt (atan2 b b)))) (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) 0 (log (sqrt (atan2 b b))) (log (cbrt (sqrt (atan2 b b)))) (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) 0 (log (sqrt (atan2 b b))) (log (cbrt (sqrt (atan2 b b)))) (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (pow (atan2 b b) 3/2) (fabs (cbrt (atan2 b b))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) 1 (sqrt (atan2 b b)) 1/2 (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) 2.609 * * * [progress]: adding candidates to table 2.920 * [progress]: [Phase 3 of 3] Extracting. 2.921 * * [regime]: Finding splitpoints for: (# #) 2.922 * * * [regime-changes]: Trying 4 branch expressions: ((pow (sqrt (atan2 b b)) (- b a)) (sin (pow (sqrt (atan2 b b)) (- b a))) b a) 2.923 * * * * [regimes]: Trying to branch on (pow (sqrt (atan2 b b)) (- b a)) from (# #) 2.948 * * * * [regimes]: Trying to branch on (sin (pow (sqrt (atan2 b b)) (- b a))) from (# #) 2.978 * * * * [regimes]: Trying to branch on b from (# #) 2.995 * * * * [regimes]: Trying to branch on a from (# #) 3.013 * * * [regime]: Found split indices: #