0.855 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.273 * * * [progress]: [2/2] Setting up program. 0.280 * [progress]: [Phase 2 of 3] Improving. 0.282 * [simplify]: Simplifying using # : (sin (pow (sqrt (atan2 b b)) (- b a))) 0.287 * * [simplify]: iteration 0 : 13 enodes (cost 5 ) 0.288 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.290 * * [simplify]: iteration 2 : 44 enodes (cost 5 ) 0.291 * * [simplify]: iteration 3 : 114 enodes (cost 5 ) 0.294 * * [simplify]: iteration 4 : 321 enodes (cost 5 ) 0.301 * * [simplify]: iteration 5 : 1627 enodes (cost 5 ) 0.338 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.339 * [simplify]: Simplified to: (sin (pow (sqrt (atan2 b b)) (- b a))) 0.341 * * [progress]: iteration 1 / 4 0.341 * * * [progress]: picking best candidate 0.346 * * * * [pick]: Picked # 0.346 * * * [progress]: localizing error 0.356 * * * [progress]: generating rewritten candidates 0.357 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.360 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.368 * * * [progress]: generating series expansions 0.368 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.371 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.372 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.372 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.374 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.374 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.375 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.375 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.375 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.375 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.375 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.377 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.377 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.377 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.377 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.377 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.378 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.378 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in (b a) around 0 0.378 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in a 0.378 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in a 0.378 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in a 0.378 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in a 0.378 * [taylor]: Taking taylor expansion of (- b a) in a 0.378 * [taylor]: Taking taylor expansion of b in a 0.378 * [taylor]: Taking taylor expansion of a in a 0.379 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.379 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.379 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.379 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.380 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.380 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.380 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.380 * [taylor]: Taking taylor expansion of (- b a) in b 0.380 * [taylor]: Taking taylor expansion of b in b 0.380 * [taylor]: Taking taylor expansion of a in b 0.380 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.380 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.380 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.380 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.380 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.380 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.380 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.380 * [taylor]: Taking taylor expansion of (- b a) in b 0.380 * [taylor]: Taking taylor expansion of b in b 0.380 * [taylor]: Taking taylor expansion of a in b 0.380 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.380 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.380 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.381 * [taylor]: Taking taylor expansion of (sin (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.381 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.381 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.381 * [taylor]: Taking taylor expansion of -1 in a 0.381 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.381 * [taylor]: Taking taylor expansion of a in a 0.381 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.381 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.381 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of (cos (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.385 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.385 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.385 * [taylor]: Taking taylor expansion of -1 in a 0.385 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.385 * [taylor]: Taking taylor expansion of a in a 0.385 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.385 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.385 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.386 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* a (log (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b)))) in a 0.386 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.386 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.386 * [taylor]: Taking taylor expansion of -1 in a 0.386 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.386 * [taylor]: Taking taylor expansion of a in a 0.386 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.386 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.386 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.387 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.387 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.387 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.389 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 0.389 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in a 0.389 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a 0.389 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in a 0.389 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in a 0.389 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.389 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.389 * [taylor]: Taking taylor expansion of b in a 0.389 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.389 * [taylor]: Taking taylor expansion of a in a 0.389 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.389 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.389 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.390 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.390 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.390 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.390 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.390 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.390 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.390 * [taylor]: Taking taylor expansion of b in b 0.390 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.390 * [taylor]: Taking taylor expansion of a in b 0.390 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.390 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.390 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.391 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.391 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.391 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.391 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.391 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.391 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.391 * [taylor]: Taking taylor expansion of b in b 0.391 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.391 * [taylor]: Taking taylor expansion of a in b 0.391 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.391 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.391 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.393 * [taylor]: Taking taylor expansion of (sin (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))))) in a 0.393 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) in a 0.393 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a 0.393 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.393 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.393 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.393 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.393 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.393 * [taylor]: Taking taylor expansion of b in a 0.393 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.393 * [taylor]: Taking taylor expansion of a in a 0.395 * [taylor]: Taking taylor expansion of 0 in a 0.396 * [taylor]: Taking taylor expansion of 0 in a 0.397 * [taylor]: Taking taylor expansion of 0 in a 0.397 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in (b a) around 0 0.397 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.397 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.397 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.397 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.397 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.397 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.397 * [taylor]: Taking taylor expansion of a in a 0.397 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.397 * [taylor]: Taking taylor expansion of b in a 0.397 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.397 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.397 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.398 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.398 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.398 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.398 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.398 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.398 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.398 * [taylor]: Taking taylor expansion of a in b 0.398 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.398 * [taylor]: Taking taylor expansion of b in b 0.398 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.398 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.398 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.399 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.399 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.399 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.399 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.399 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.399 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.399 * [taylor]: Taking taylor expansion of a in b 0.399 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.399 * [taylor]: Taking taylor expansion of b in b 0.399 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.399 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.399 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.401 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.401 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.401 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.401 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.401 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.401 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.401 * [taylor]: Taking taylor expansion of a in a 0.401 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.401 * [taylor]: Taking taylor expansion of b in a 0.401 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.401 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.401 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.403 * [taylor]: Taking taylor expansion of 0 in a 0.403 * [taylor]: Taking taylor expansion of 0 in a 0.404 * [taylor]: Taking taylor expansion of 0 in a 0.405 * * * [progress]: simplifying candidates 0.405 * [simplify]: Simplifying using # : (expm1 (sqrt (atan2 b b))) (log1p (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))) (expm1 (sin (pow (sqrt (atan2 b b)) (- b a)))) (log1p (sin (pow (sqrt (atan2 b b)) (- b a)))) (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))) 0.408 * * [simplify]: iteration 0 : 65 enodes (cost 150 ) 0.410 * * [simplify]: iteration 1 : 112 enodes (cost 137 ) 0.412 * * [simplify]: iteration 2 : 200 enodes (cost 132 ) 0.416 * * [simplify]: iteration 3 : 372 enodes (cost 131 ) 0.421 * * [simplify]: iteration 4 : 681 enodes (cost 131 ) 0.433 * * [simplify]: iteration 5 : 2254 enodes (cost 131 ) 0.473 * * [simplify]: iteration 6 : 5001 enodes (cost 130 ) 0.480 * [simplify]: Simplified to: (expm1 (sqrt (atan2 b b))) (log1p (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))) (expm1 (sin (pow (sqrt (atan2 b b)) (- b a)))) (log1p (sin (pow (sqrt (atan2 b b)) (- b a)))) (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)) (fma (* (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))) 0.480 * * * [progress]: adding candidates to table 0.629 * * [progress]: iteration 2 / 4 0.629 * * * [progress]: picking best candidate 0.636 * * * * [pick]: Picked # 0.636 * * * [progress]: localizing error 0.648 * * * [progress]: generating rewritten candidates 0.648 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.650 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.650 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.656 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.658 * * * [progress]: generating series expansions 0.658 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.658 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 0.658 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.658 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.658 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.658 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.659 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.659 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.664 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 0.664 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.664 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.664 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.664 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.664 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.664 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.669 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 0.669 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.669 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.669 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.669 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.669 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.669 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.675 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.675 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.675 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.675 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.675 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.675 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.675 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.675 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.675 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.676 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.676 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.677 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.677 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.677 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.677 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.677 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.678 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.678 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 0.678 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.678 * [taylor]: Taking taylor expansion of (cos 1) in b 0.678 * [taylor]: Taking taylor expansion of 1 in b 0.678 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.678 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.678 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.678 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.678 * [taylor]: Taking taylor expansion of (cos 1) in b 0.678 * [taylor]: Taking taylor expansion of 1 in b 0.678 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.678 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.678 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.684 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 0.684 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.684 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.684 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.684 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.685 * [taylor]: Taking taylor expansion of (cos 1) in b 0.685 * [taylor]: Taking taylor expansion of 1 in b 0.685 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.685 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.685 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.685 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.685 * [taylor]: Taking taylor expansion of (cos 1) in b 0.685 * [taylor]: Taking taylor expansion of 1 in b 0.692 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 0.692 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.692 * [taylor]: Taking taylor expansion of (cos 1) in b 0.692 * [taylor]: Taking taylor expansion of 1 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 0.692 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.692 * [taylor]: Taking taylor expansion of (cos 1) in b 0.692 * [taylor]: Taking taylor expansion of 1 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 0.699 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.700 * [approximate]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in (b a) around 0 0.700 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in a 0.700 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 0.700 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in a 0.700 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.700 * [taylor]: Taking taylor expansion of (cos 1) in a 0.700 * [taylor]: Taking taylor expansion of 1 in a 0.700 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.700 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.700 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.700 * [taylor]: Taking taylor expansion of (- b a) in a 0.700 * [taylor]: Taking taylor expansion of b in a 0.700 * [taylor]: Taking taylor expansion of a in a 0.700 * [taylor]: Taking taylor expansion of (sin 1) in a 0.700 * [taylor]: Taking taylor expansion of 1 in a 0.700 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in b 0.701 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 0.701 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in b 0.701 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.701 * [taylor]: Taking taylor expansion of (cos 1) in b 0.701 * [taylor]: Taking taylor expansion of 1 in b 0.701 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.701 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.701 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.701 * [taylor]: Taking taylor expansion of (- b a) in b 0.701 * [taylor]: Taking taylor expansion of b in b 0.701 * [taylor]: Taking taylor expansion of a in b 0.701 * [taylor]: Taking taylor expansion of (sin 1) in b 0.701 * [taylor]: Taking taylor expansion of 1 in b 0.701 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in b 0.701 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 0.701 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in b 0.701 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.701 * [taylor]: Taking taylor expansion of (cos 1) in b 0.701 * [taylor]: Taking taylor expansion of 1 in b 0.701 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.701 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.701 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.701 * [taylor]: Taking taylor expansion of (- b a) in b 0.701 * [taylor]: Taking taylor expansion of b in b 0.701 * [taylor]: Taking taylor expansion of a in b 0.701 * [taylor]: Taking taylor expansion of (sin 1) in b 0.701 * [taylor]: Taking taylor expansion of 1 in b 0.702 * [taylor]: Taking taylor expansion of (- (sin 1) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) in a 0.702 * [taylor]: Taking taylor expansion of (sin 1) in a 0.702 * [taylor]: Taking taylor expansion of 1 in a 0.702 * [taylor]: Taking taylor expansion of (* a (* (cos 1) (log (sqrt (atan2 b b))))) in a 0.702 * [taylor]: Taking taylor expansion of a in a 0.702 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.702 * [taylor]: Taking taylor expansion of (cos 1) in a 0.702 * [taylor]: Taking taylor expansion of 1 in a 0.702 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.702 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.702 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.703 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.703 * [taylor]: Taking taylor expansion of (cos 1) in a 0.703 * [taylor]: Taking taylor expansion of 1 in a 0.703 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.703 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.703 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.705 * [approximate]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in (b a) around 0 0.705 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in a 0.705 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 0.705 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in a 0.705 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.705 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.705 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.705 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.705 * [taylor]: Taking taylor expansion of (cos 1) in a 0.705 * [taylor]: Taking taylor expansion of 1 in a 0.705 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.706 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.706 * [taylor]: Taking taylor expansion of b in a 0.706 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.706 * [taylor]: Taking taylor expansion of a in a 0.706 * [taylor]: Taking taylor expansion of (sin 1) in a 0.706 * [taylor]: Taking taylor expansion of 1 in a 0.706 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in b 0.706 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 0.706 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in b 0.706 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.706 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.706 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.706 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.706 * [taylor]: Taking taylor expansion of (cos 1) in b 0.706 * [taylor]: Taking taylor expansion of 1 in b 0.706 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.706 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.706 * [taylor]: Taking taylor expansion of b in b 0.706 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.706 * [taylor]: Taking taylor expansion of a in b 0.706 * [taylor]: Taking taylor expansion of (sin 1) in b 0.706 * [taylor]: Taking taylor expansion of 1 in b 0.706 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in b 0.706 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 0.706 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in b 0.706 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.706 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.707 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.707 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.707 * [taylor]: Taking taylor expansion of (cos 1) in b 0.707 * [taylor]: Taking taylor expansion of 1 in b 0.707 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.707 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.707 * [taylor]: Taking taylor expansion of b in b 0.707 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.707 * [taylor]: Taking taylor expansion of a in b 0.707 * [taylor]: Taking taylor expansion of (sin 1) in b 0.707 * [taylor]: Taking taylor expansion of 1 in b 0.707 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.707 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.707 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.707 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.708 * [taylor]: Taking taylor expansion of (cos 1) in a 0.708 * [taylor]: Taking taylor expansion of 1 in a 0.709 * [taylor]: Taking taylor expansion of (- (sin 1) (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a)) in a 0.709 * [taylor]: Taking taylor expansion of (sin 1) in a 0.709 * [taylor]: Taking taylor expansion of 1 in a 0.709 * [taylor]: Taking taylor expansion of (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a) in a 0.709 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.709 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.709 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.709 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.709 * [taylor]: Taking taylor expansion of (cos 1) in a 0.709 * [taylor]: Taking taylor expansion of 1 in a 0.709 * [taylor]: Taking taylor expansion of a in a 0.714 * [taylor]: Taking taylor expansion of 0 in a 0.716 * [approximate]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in (b a) around 0 0.716 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in a 0.716 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 0.716 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in a 0.716 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.716 * [taylor]: Taking taylor expansion of (cos 1) in a 0.716 * [taylor]: Taking taylor expansion of 1 in a 0.716 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.716 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.716 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.716 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.716 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.716 * [taylor]: Taking taylor expansion of a in a 0.716 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.716 * [taylor]: Taking taylor expansion of b in a 0.716 * [taylor]: Taking taylor expansion of (sin 1) in a 0.716 * [taylor]: Taking taylor expansion of 1 in a 0.716 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in b 0.716 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 0.716 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in b 0.716 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.716 * [taylor]: Taking taylor expansion of (cos 1) in b 0.716 * [taylor]: Taking taylor expansion of 1 in b 0.717 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.717 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.717 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.717 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.717 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.717 * [taylor]: Taking taylor expansion of a in b 0.717 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.717 * [taylor]: Taking taylor expansion of b in b 0.717 * [taylor]: Taking taylor expansion of (sin 1) in b 0.717 * [taylor]: Taking taylor expansion of 1 in b 0.717 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in b 0.717 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 0.717 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in b 0.717 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.717 * [taylor]: Taking taylor expansion of (cos 1) in b 0.717 * [taylor]: Taking taylor expansion of 1 in b 0.717 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.717 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.717 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.717 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.717 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.717 * [taylor]: Taking taylor expansion of a in b 0.718 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.718 * [taylor]: Taking taylor expansion of b in b 0.718 * [taylor]: Taking taylor expansion of (sin 1) in b 0.718 * [taylor]: Taking taylor expansion of 1 in b 0.718 * [taylor]: Taking taylor expansion of (- (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.718 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.718 * [taylor]: Taking taylor expansion of (cos 1) in a 0.718 * [taylor]: Taking taylor expansion of 1 in a 0.718 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.718 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.718 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.719 * [taylor]: Taking taylor expansion of (+ (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) (sin 1)) in a 0.719 * [taylor]: Taking taylor expansion of (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) in a 0.719 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.719 * [taylor]: Taking taylor expansion of (cos 1) in a 0.719 * [taylor]: Taking taylor expansion of 1 in a 0.719 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.719 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.719 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.720 * [taylor]: Taking taylor expansion of a in a 0.720 * [taylor]: Taking taylor expansion of (sin 1) in a 0.720 * [taylor]: Taking taylor expansion of 1 in a 0.721 * [taylor]: Taking taylor expansion of 0 in a 0.723 * * * [progress]: simplifying candidates 0.724 * [simplify]: Simplifying using # : (expm1 (log (sqrt (atan2 b b)))) (log1p (log (sqrt (atan2 b b)))) (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)))) (expm1 (sqrt (atan2 b b))) (log1p (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))) (expm1 (* (cos 1) (log (sqrt (atan2 b b))))) (log1p (* (cos 1) (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)))) (expm1 (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (log1p (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (log (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (exp (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (* (cbrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (cbrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)))) (cbrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (* (* (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (sqrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (sqrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (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 (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (+ (* (cos 1) (* b (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (+ (* (cos 1) (* b (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) 0.728 * * [simplify]: iteration 0 : 152 enodes (cost 636 ) 0.731 * * [simplify]: iteration 1 : 487 enodes (cost 554 ) 0.739 * * [simplify]: iteration 2 : 1554 enodes (cost 539 ) 0.760 * * [simplify]: iteration 3 : 4729 enodes (cost 539 ) 0.848 * * [simplify]: iteration 4 : 5001 enodes (cost 539 ) 0.850 * [simplify]: Simplified to: (expm1 (log (sqrt (atan2 b b)))) (log1p (log (sqrt (atan2 b b)))) (* 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)))) (expm1 (sqrt (atan2 b b))) (log1p (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))) (expm1 (* (cos 1) (log (sqrt (atan2 b b))))) (log1p (* (cos 1) (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)))) (expm1 (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (log1p (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (log (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (exp (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (* (cbrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (cbrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)))) (cbrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (pow (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) 3) (sqrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (sqrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (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)))) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) 0.851 * * * [progress]: adding candidates to table 1.340 * * [progress]: iteration 3 / 4 1.340 * * * [progress]: picking best candidate 1.348 * * * * [pick]: Picked # 1.349 * * * [progress]: localizing error 1.364 * * * [progress]: generating rewritten candidates 1.365 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1) 1.368 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.378 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.380 * * * [progress]: generating series expansions 1.380 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.381 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 1.381 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.381 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.381 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.381 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.381 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.381 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.385 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 1.385 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.385 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.385 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.385 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.385 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.385 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.390 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 1.390 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.390 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.390 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.391 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.391 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.391 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.396 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1) 1.396 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 1.396 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.396 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.396 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.396 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.397 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 1.397 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.397 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.397 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.397 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.398 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 1.398 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.398 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.398 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.398 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.399 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.399 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 1.399 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.399 * [taylor]: Taking taylor expansion of (cos 1) in b 1.399 * [taylor]: Taking taylor expansion of 1 in b 1.399 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.399 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.399 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.399 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.399 * [taylor]: Taking taylor expansion of (cos 1) in b 1.399 * [taylor]: Taking taylor expansion of 1 in b 1.399 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.399 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.399 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.406 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 1.406 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.406 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.406 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.406 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.406 * [taylor]: Taking taylor expansion of (cos 1) in b 1.406 * [taylor]: Taking taylor expansion of 1 in b 1.406 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.406 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.406 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.406 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.406 * [taylor]: Taking taylor expansion of (cos 1) in b 1.406 * [taylor]: Taking taylor expansion of 1 in b 1.413 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 1.413 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.413 * [taylor]: Taking taylor expansion of (cos 1) in b 1.413 * [taylor]: Taking taylor expansion of 1 in b 1.413 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.413 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.413 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.413 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.413 * [taylor]: Taking taylor expansion of (cos 1) in b 1.413 * [taylor]: Taking taylor expansion of 1 in b 1.413 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.413 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.413 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.421 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.421 * [approximate]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in (b a) around 0 1.421 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in a 1.421 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 1.421 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in a 1.421 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 1.421 * [taylor]: Taking taylor expansion of (cos 1) in a 1.421 * [taylor]: Taking taylor expansion of 1 in a 1.421 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 1.421 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 1.421 * [taylor]: Taking taylor expansion of (atan2 b b) in a 1.422 * [taylor]: Taking taylor expansion of (- b a) in a 1.422 * [taylor]: Taking taylor expansion of b in a 1.422 * [taylor]: Taking taylor expansion of a in a 1.422 * [taylor]: Taking taylor expansion of (sin 1) in a 1.422 * [taylor]: Taking taylor expansion of 1 in a 1.422 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in b 1.422 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 1.422 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in b 1.422 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.422 * [taylor]: Taking taylor expansion of (cos 1) in b 1.422 * [taylor]: Taking taylor expansion of 1 in b 1.422 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.422 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.422 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.422 * [taylor]: Taking taylor expansion of (- b a) in b 1.422 * [taylor]: Taking taylor expansion of b in b 1.422 * [taylor]: Taking taylor expansion of a in b 1.422 * [taylor]: Taking taylor expansion of (sin 1) in b 1.422 * [taylor]: Taking taylor expansion of 1 in b 1.422 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in b 1.422 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 1.422 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in b 1.422 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.422 * [taylor]: Taking taylor expansion of (cos 1) in b 1.422 * [taylor]: Taking taylor expansion of 1 in b 1.422 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.422 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.422 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.423 * [taylor]: Taking taylor expansion of (- b a) in b 1.423 * [taylor]: Taking taylor expansion of b in b 1.423 * [taylor]: Taking taylor expansion of a in b 1.423 * [taylor]: Taking taylor expansion of (sin 1) in b 1.423 * [taylor]: Taking taylor expansion of 1 in b 1.423 * [taylor]: Taking taylor expansion of (- (sin 1) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) in a 1.423 * [taylor]: Taking taylor expansion of (sin 1) in a 1.423 * [taylor]: Taking taylor expansion of 1 in a 1.423 * [taylor]: Taking taylor expansion of (* a (* (cos 1) (log (sqrt (atan2 b b))))) in a 1.423 * [taylor]: Taking taylor expansion of a in a 1.423 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 1.423 * [taylor]: Taking taylor expansion of (cos 1) in a 1.423 * [taylor]: Taking taylor expansion of 1 in a 1.423 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 1.423 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 1.423 * [taylor]: Taking taylor expansion of (atan2 b b) in a 1.424 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 1.425 * [taylor]: Taking taylor expansion of (cos 1) in a 1.425 * [taylor]: Taking taylor expansion of 1 in a 1.425 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 1.425 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 1.425 * [taylor]: Taking taylor expansion of (atan2 b b) in a 1.426 * [approximate]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in (b a) around 0 1.426 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in a 1.426 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 1.426 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in a 1.426 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 1.426 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 1.426 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 1.426 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 1.427 * [taylor]: Taking taylor expansion of (cos 1) in a 1.427 * [taylor]: Taking taylor expansion of 1 in a 1.427 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.427 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.427 * [taylor]: Taking taylor expansion of b in a 1.427 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.427 * [taylor]: Taking taylor expansion of a in a 1.427 * [taylor]: Taking taylor expansion of (sin 1) in a 1.427 * [taylor]: Taking taylor expansion of 1 in a 1.427 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in b 1.427 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 1.427 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in b 1.427 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.427 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.427 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.427 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.427 * [taylor]: Taking taylor expansion of (cos 1) in b 1.427 * [taylor]: Taking taylor expansion of 1 in b 1.427 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.427 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.427 * [taylor]: Taking taylor expansion of b in b 1.427 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.428 * [taylor]: Taking taylor expansion of a in b 1.428 * [taylor]: Taking taylor expansion of (sin 1) in b 1.428 * [taylor]: Taking taylor expansion of 1 in b 1.428 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in b 1.428 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 1.428 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in b 1.428 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.428 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.428 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.428 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.428 * [taylor]: Taking taylor expansion of (cos 1) in b 1.428 * [taylor]: Taking taylor expansion of 1 in b 1.428 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.428 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.428 * [taylor]: Taking taylor expansion of b in b 1.428 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.428 * [taylor]: Taking taylor expansion of a in b 1.428 * [taylor]: Taking taylor expansion of (sin 1) in b 1.428 * [taylor]: Taking taylor expansion of 1 in b 1.429 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 1.429 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 1.429 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 1.429 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 1.429 * [taylor]: Taking taylor expansion of (cos 1) in a 1.429 * [taylor]: Taking taylor expansion of 1 in a 1.430 * [taylor]: Taking taylor expansion of (- (sin 1) (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a)) in a 1.430 * [taylor]: Taking taylor expansion of (sin 1) in a 1.430 * [taylor]: Taking taylor expansion of 1 in a 1.430 * [taylor]: Taking taylor expansion of (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a) in a 1.430 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 1.430 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 1.430 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 1.430 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 1.430 * [taylor]: Taking taylor expansion of (cos 1) in a 1.430 * [taylor]: Taking taylor expansion of 1 in a 1.430 * [taylor]: Taking taylor expansion of a in a 1.432 * [taylor]: Taking taylor expansion of 0 in a 1.433 * [approximate]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in (b a) around 0 1.433 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in a 1.434 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 1.434 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in a 1.434 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.434 * [taylor]: Taking taylor expansion of (cos 1) in a 1.434 * [taylor]: Taking taylor expansion of 1 in a 1.434 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.434 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.434 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.434 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.434 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.434 * [taylor]: Taking taylor expansion of a in a 1.434 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.434 * [taylor]: Taking taylor expansion of b in a 1.434 * [taylor]: Taking taylor expansion of (sin 1) in a 1.434 * [taylor]: Taking taylor expansion of 1 in a 1.434 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in b 1.434 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 1.434 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in b 1.434 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.434 * [taylor]: Taking taylor expansion of (cos 1) in b 1.434 * [taylor]: Taking taylor expansion of 1 in b 1.434 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.434 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.434 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.435 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.435 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.435 * [taylor]: Taking taylor expansion of a in b 1.435 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.435 * [taylor]: Taking taylor expansion of b in b 1.435 * [taylor]: Taking taylor expansion of (sin 1) in b 1.435 * [taylor]: Taking taylor expansion of 1 in b 1.435 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in b 1.435 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 1.435 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in b 1.435 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.435 * [taylor]: Taking taylor expansion of (cos 1) in b 1.435 * [taylor]: Taking taylor expansion of 1 in b 1.435 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.435 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.435 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.435 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.435 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.435 * [taylor]: Taking taylor expansion of a in b 1.435 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.435 * [taylor]: Taking taylor expansion of b in b 1.435 * [taylor]: Taking taylor expansion of (sin 1) in b 1.435 * [taylor]: Taking taylor expansion of 1 in b 1.436 * [taylor]: Taking taylor expansion of (- (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 1.436 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.436 * [taylor]: Taking taylor expansion of (cos 1) in a 1.436 * [taylor]: Taking taylor expansion of 1 in a 1.436 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.436 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.436 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.437 * [taylor]: Taking taylor expansion of (+ (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) (sin 1)) in a 1.437 * [taylor]: Taking taylor expansion of (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) in a 1.437 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.437 * [taylor]: Taking taylor expansion of (cos 1) in a 1.437 * [taylor]: Taking taylor expansion of 1 in a 1.437 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.437 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.437 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.437 * [taylor]: Taking taylor expansion of a in a 1.438 * [taylor]: Taking taylor expansion of (sin 1) in a 1.438 * [taylor]: Taking taylor expansion of 1 in a 1.439 * [taylor]: Taking taylor expansion of 0 in a 1.441 * * * [progress]: simplifying candidates 1.442 * [simplify]: Simplifying using # : (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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)))))) (expm1 (sqrt (atan2 b b))) (log1p (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))) (expm1 (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (log1p (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (+ (log (cos 1)) (log (log (log (exp (sqrt (atan2 b b))))))) (log (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (exp (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (* (* (* (cos 1) (cos 1)) (cos 1)) (* (* (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b)))))) (log (log (exp (sqrt (atan2 b b))))))) (* (cbrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (cbrt (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))))) (cbrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (* (* (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (log (exp (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (log (exp (sqrt (atan2 b b))))))) (* (cos 1) (log 1)) (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (log (log (exp (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (log (exp (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (log (exp (sqrt 1))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (log (exp (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (log (exp 1)))) (* (cos 1) (log (* (cbrt (log (exp (sqrt (atan2 b b))))) (cbrt (log (exp (sqrt (atan2 b b)))))))) (* (cos 1) (log (cbrt (log (exp (sqrt (atan2 b b))))))) (* (cos 1) (log (sqrt (log (exp (sqrt (atan2 b b))))))) (* (cos 1) (log (sqrt (log (exp (sqrt (atan2 b b))))))) (* (cos 1) (log 1)) (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (* (log 1) (cos 1)) (* (log (log (exp (sqrt (atan2 b b))))) (cos 1)) (* (log (cbrt (sqrt (atan2 b b)))) (cos 1)) (* (log (log (exp (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))))) (cos 1)) (* (log (sqrt (cbrt (atan2 b b)))) (cos 1)) (* (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (log (exp (sqrt (sqrt (atan2 b b)))))) (cos 1)) (* (log (sqrt (atan2 b b))) (cos 1)) (* (log (log (exp (sqrt 1)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (log (exp (sqrt (sqrt (atan2 b b)))))) (cos 1)) (* (log (sqrt (atan2 b b))) (cos 1)) (* (log (log (exp 1))) (cos 1)) (* (log (* (cbrt (log (exp (sqrt (atan2 b b))))) (cbrt (log (exp (sqrt (atan2 b b))))))) (cos 1)) (* (log (cbrt (log (exp (sqrt (atan2 b b)))))) (cos 1)) (* (log (sqrt (log (exp (sqrt (atan2 b b)))))) (cos 1)) (* (log (sqrt (log (exp (sqrt (atan2 b b)))))) (cos 1)) (* (log 1) (cos 1)) (* (log (log (exp (sqrt (atan2 b b))))) (cos 1)) (* (cos 1) 1) (* (cos 1) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))))) (* (cos 1) (sqrt (log (log (exp (sqrt (atan2 b b))))))) (* (cos 1) 1) (* (cbrt (cos 1)) (log (log (exp (sqrt (atan2 b b)))))) (* (sqrt (cos 1)) (log (log (exp (sqrt (atan2 b b)))))) (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (expm1 (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (log1p (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (* (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a)) (log (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (exp (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (* (cbrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (cbrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1)))) (cbrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (* (* (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1)) (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (sqrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (sqrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (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 (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (+ (* (cos 1) (* b (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (+ (* (cos 1) (* b (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) 1.447 * * [simplify]: iteration 0 : 180 enodes (cost 862 ) 1.449 * * [simplify]: iteration 1 : 533 enodes (cost 717 ) 1.458 * * [simplify]: iteration 2 : 1442 enodes (cost 684 ) 1.478 * * [simplify]: iteration 3 : 4670 enodes (cost 684 ) 1.565 * * [simplify]: iteration 4 : 5001 enodes (cost 684 ) 1.568 * [simplify]: Simplified to: (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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)))))) (expm1 (sqrt (atan2 b b))) (log1p (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))) (expm1 (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (log1p (* (cos 1) (log (log (exp (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 (log (exp (sqrt (atan2 b b))))))) (cbrt (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))))) (cbrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (pow (* (cos 1) (log (sqrt (atan2 b b)))) 3) (sqrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (log (exp (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (log (exp (sqrt (atan2 b b))))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b)))) 0 (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b)))) 0 (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (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)))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b)))) 0 (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b)))) 0 (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (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) (* (cos 1) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))))) (* (cos 1) (sqrt (log (log (exp (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)))) (expm1 (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (log1p (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (log (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (exp (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (* (cbrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (cbrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1)))) (cbrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (pow (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) 3) (sqrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (sqrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (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)))) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) 1.568 * * * [progress]: adding candidates to table 2.158 * * [progress]: iteration 4 / 4 2.158 * * * [progress]: picking best candidate 2.169 * * * * [pick]: Picked # 2.169 * * * [progress]: localizing error 2.190 * * * [progress]: generating rewritten candidates 2.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 2.193 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 2.195 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2) 2.198 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1 1) 2.200 * * * [progress]: generating series expansions 2.200 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 2.201 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.201 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.201 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.201 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.201 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.201 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.201 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.205 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.205 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.205 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.205 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.206 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.206 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.206 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.211 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.211 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.211 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.211 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.211 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.211 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.211 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.216 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 2.216 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.216 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.216 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.216 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.216 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.216 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.216 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.220 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.221 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.221 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.221 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.221 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.221 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.221 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.228 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.228 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.228 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.228 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.228 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.228 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.228 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.234 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2) 2.234 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.234 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.234 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.234 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.234 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.234 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.234 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.238 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.238 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.238 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.238 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.238 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.238 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.238 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.243 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.244 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.244 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.244 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.244 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.244 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.244 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.249 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1 1) 2.249 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 2.249 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.249 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.249 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.249 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.250 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 2.250 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.250 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.250 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.250 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.251 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 2.251 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.251 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.251 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.251 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.252 * * * [progress]: simplifying candidates 2.253 * [simplify]: Simplifying using # : (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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)))))) (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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)))))) (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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)))))) (expm1 (sqrt (atan2 b b))) (log1p (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)) 2.256 * * [simplify]: iteration 0 : 65 enodes (cost 545 ) 2.258 * * [simplify]: iteration 1 : 89 enodes (cost 466 ) 2.259 * * [simplify]: iteration 2 : 118 enodes (cost 466 ) 2.261 * * [simplify]: iteration 3 : 156 enodes (cost 466 ) 2.263 * * [simplify]: iteration 4 : 285 enodes (cost 466 ) 2.268 * * [simplify]: iteration 5 : 767 enodes (cost 466 ) 2.283 * * [simplify]: iteration 6 : 3559 enodes (cost 465 ) 2.338 * * [simplify]: iteration 7 : 5001 enodes (cost 459 ) 2.341 * [simplify]: Simplified to: (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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))) (log (log (exp (sqrt 1)))) (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)))))) (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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))) (log (log (exp (sqrt 1)))) (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 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(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)))))) (expm1 (sqrt (atan2 b b))) (log1p (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))) (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)) 2.341 * * * [progress]: adding candidates to table 3.342 * [progress]: [Phase 3 of 3] Extracting. 3.342 * * [regime]: Finding splitpoints for: (# #) 3.344 * * * [regime-changes]: Trying 4 branch expressions: ((pow (sqrt (atan2 b b)) (- b a)) (sin (pow (sqrt (atan2 b b)) (- b a))) b a) 3.344 * * * * [regimes]: Trying to branch on (pow (sqrt (atan2 b b)) (- b a)) from (# #) 3.408 * * * * [regimes]: Trying to branch on (sin (pow (sqrt (atan2 b b)) (- b a))) from (# #) 3.479 * * * * [regimes]: Trying to branch on b from (# #) 3.518 * * * * [regimes]: Trying to branch on a from (# #) 3.555 * * * [regime]: Found split indices: #