0.907 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.294 * * * [progress]: [2/2] Setting up program. 0.300 * [progress]: [Phase 2 of 3] Improving. 0.303 * [simplify]: Simplifying using # : (sin (pow (sqrt (atan2 b b)) (- b a))) 0.306 * * [simplify]: iteration 0 : 13 enodes (cost 5 ) 0.308 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.309 * * [simplify]: iteration 2 : 44 enodes (cost 5 ) 0.311 * * [simplify]: iteration 3 : 114 enodes (cost 5 ) 0.313 * * [simplify]: iteration 4 : 315 enodes (cost 5 ) 0.321 * * [simplify]: iteration 5 : 1609 enodes (cost 5 ) 0.360 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.361 * [simplify]: Simplified to: (sin (pow (sqrt (atan2 b b)) (- b a))) 0.362 * * [progress]: iteration 1 / 4 0.362 * * * [progress]: picking best candidate 0.368 * * * * [pick]: Picked # 0.368 * * * [progress]: localizing error 0.378 * * * [progress]: generating rewritten candidates 0.378 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.381 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.387 * * * [progress]: generating series expansions 0.387 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.391 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.392 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.392 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.393 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.393 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.394 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.394 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.394 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.395 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.395 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.396 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.396 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.396 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.396 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.396 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.397 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.397 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in (b a) around 0 0.398 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in a 0.398 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in a 0.398 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in a 0.398 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in a 0.398 * [taylor]: Taking taylor expansion of (- b a) in a 0.398 * [taylor]: Taking taylor expansion of b in a 0.398 * [taylor]: Taking taylor expansion of a in a 0.398 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.398 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.398 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.399 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.399 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.399 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.399 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.399 * [taylor]: Taking taylor expansion of (- b a) in b 0.399 * [taylor]: Taking taylor expansion of b in b 0.399 * [taylor]: Taking taylor expansion of a in b 0.399 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.399 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.399 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.399 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.399 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.399 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.399 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.399 * [taylor]: Taking taylor expansion of (- b a) in b 0.400 * [taylor]: Taking taylor expansion of b in b 0.400 * [taylor]: Taking taylor expansion of a in b 0.400 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.400 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.400 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.401 * [taylor]: Taking taylor expansion of (sin (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.401 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.401 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.401 * [taylor]: Taking taylor expansion of -1 in a 0.401 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.401 * [taylor]: Taking taylor expansion of a in a 0.401 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.401 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.401 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.405 * [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 0.405 * [taylor]: Taking taylor expansion of (cos (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.405 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.405 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.405 * [taylor]: Taking taylor expansion of -1 in a 0.405 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.405 * [taylor]: Taking taylor expansion of a in a 0.405 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.405 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.405 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.405 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* a (log (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b)))) in a 0.405 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.406 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.406 * [taylor]: Taking taylor expansion of -1 in a 0.406 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.406 * [taylor]: Taking taylor expansion of a in a 0.406 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.406 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.406 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.406 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.406 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.406 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.408 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 0.408 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in a 0.408 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a 0.408 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in a 0.408 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in a 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.408 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.408 * [taylor]: Taking taylor expansion of b in a 0.409 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.409 * [taylor]: Taking taylor expansion of a in a 0.409 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.409 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.409 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.410 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.410 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.410 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.410 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.410 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.410 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.410 * [taylor]: Taking taylor expansion of b in b 0.410 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.410 * [taylor]: Taking taylor expansion of a in b 0.410 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.410 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.410 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.411 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.411 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.411 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.411 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.411 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.411 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.411 * [taylor]: Taking taylor expansion of b in b 0.411 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.411 * [taylor]: Taking taylor expansion of a in b 0.411 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.411 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.411 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.412 * [taylor]: Taking taylor expansion of (sin (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))))) in a 0.412 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) in a 0.412 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a 0.412 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.412 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.412 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.413 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.413 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.413 * [taylor]: Taking taylor expansion of b in a 0.413 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.413 * [taylor]: Taking taylor expansion of a in a 0.414 * [taylor]: Taking taylor expansion of 0 in a 0.415 * [taylor]: Taking taylor expansion of 0 in a 0.416 * [taylor]: Taking taylor expansion of 0 in a 0.417 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in (b a) around 0 0.417 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.417 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.417 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.417 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.417 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.417 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.417 * [taylor]: Taking taylor expansion of a in a 0.417 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.417 * [taylor]: Taking taylor expansion of b in a 0.417 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.417 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.417 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.418 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.418 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.418 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.418 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.418 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.418 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.418 * [taylor]: Taking taylor expansion of a in b 0.418 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.418 * [taylor]: Taking taylor expansion of b in b 0.418 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.418 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.418 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.419 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.419 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.419 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.419 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.419 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.419 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.419 * [taylor]: Taking taylor expansion of a in b 0.419 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.419 * [taylor]: Taking taylor expansion of b in b 0.419 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.419 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.419 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.421 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.421 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.421 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.421 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.421 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.421 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.421 * [taylor]: Taking taylor expansion of a in a 0.421 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.421 * [taylor]: Taking taylor expansion of b in a 0.421 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.421 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.421 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.423 * [taylor]: Taking taylor expansion of 0 in a 0.424 * [taylor]: Taking taylor expansion of 0 in a 0.425 * [taylor]: Taking taylor expansion of 0 in a 0.425 * * * [progress]: simplifying candidates 0.426 * [simplify]: Simplifying using # : (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (* (* (sqrt (atan2 b b)) (sqrt (atan2 b b))) (sqrt (atan2 b b))) (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt 1) (sqrt (atan2 b b)) (/ 1 2) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (log (sin (pow (sqrt (atan2 b b)) (- b a)))) (exp (sin (pow (sqrt (atan2 b b)) (- b a)))) (* (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a))))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (* (* (sin (pow (sqrt (atan2 b b)) (- b a))) (sin (pow (sqrt (atan2 b b)) (- b a)))) (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (- (+ (* (cos 1) (* b (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (sin (pow (sqrt (atan2 b b)) (- b a))) (sin (pow (sqrt (atan2 b b)) (- b a))) 0.429 * * [simplify]: iteration 0 : 60 enodes (cost 132 ) 0.430 * * [simplify]: iteration 1 : 102 enodes (cost 120 ) 0.432 * * [simplify]: iteration 2 : 172 enodes (cost 114 ) 0.436 * * [simplify]: iteration 3 : 291 enodes (cost 114 ) 0.441 * * [simplify]: iteration 4 : 566 enodes (cost 114 ) 0.452 * * [simplify]: iteration 5 : 2095 enodes (cost 114 ) 0.492 * * [simplify]: iteration 6 : 5002 enodes (cost 113 ) 0.493 * [simplify]: Simplified to: (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (pow (sqrt (atan2 b b)) 3) (fabs (cbrt (atan2 b b))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) 1 (sqrt (atan2 b b)) 1/2 (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (log (sin (pow (sqrt (atan2 b b)) (- b a)))) (exp (sin (pow (sqrt (atan2 b b)) (- b a)))) (* (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a))))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) (sin (pow (sqrt (atan2 b b)) (- b a))) (sin (pow (sqrt (atan2 b b)) (- b a))) 0.493 * * * [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 0.650 * * * [progress]: generating rewritten candidates 0.650 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.651 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.657 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.657 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.675 * * * [progress]: generating series expansions 0.675 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.675 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 0.675 * [taylor]: Taking taylor expansion of (log (sqrt (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 * [taylor]: Taking taylor expansion of (log (sqrt (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 0.681 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 0.681 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.681 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.681 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.681 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.681 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.681 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.686 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 0.686 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.686 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.686 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.686 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.686 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.686 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.691 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.692 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 0.692 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b 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 b b))) in b 0.692 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.692 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.692 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b 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 b b))) in b 0.692 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.692 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.698 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 0.698 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.698 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.698 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.698 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.699 * [taylor]: Taking taylor expansion of (cos 1) in b 0.699 * [taylor]: Taking taylor expansion of 1 in b 0.699 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.699 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.699 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.699 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.699 * [taylor]: Taking taylor expansion of (cos 1) in b 0.699 * [taylor]: Taking taylor expansion of 1 in b 0.706 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 0.706 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (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 (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) (log (sqrt (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 (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 0.714 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 0.714 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.714 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.714 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.714 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.714 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.714 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.715 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.715 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.715 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.715 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.716 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.716 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.716 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.716 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.716 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.717 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.717 * [approximate]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in (b a) around 0 0.717 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in a 0.717 * [taylor]: Taking taylor expansion of (- b a) in a 0.717 * [taylor]: Taking taylor expansion of b in a 0.717 * [taylor]: Taking taylor expansion of a in a 0.717 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.717 * [taylor]: Taking taylor expansion of (cos 1) in a 0.717 * [taylor]: Taking taylor expansion of 1 in a 0.717 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.717 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.717 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.717 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in b 0.717 * [taylor]: Taking taylor expansion of (- b a) in b 0.717 * [taylor]: Taking taylor expansion of b in b 0.717 * [taylor]: Taking taylor expansion of a in b 0.717 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b 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 b b))) in b 0.717 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.717 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.717 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in b 0.717 * [taylor]: Taking taylor expansion of (- b a) in b 0.718 * [taylor]: Taking taylor expansion of b in b 0.718 * [taylor]: Taking taylor expansion of a in b 0.718 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.718 * [taylor]: Taking taylor expansion of (cos 1) in b 0.718 * [taylor]: Taking taylor expansion of 1 in b 0.718 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.718 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.718 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.718 * [taylor]: Taking taylor expansion of (* -1 (* a (* (cos 1) (log (sqrt (atan2 b b)))))) in a 0.718 * [taylor]: Taking taylor expansion of -1 in a 0.718 * [taylor]: Taking taylor expansion of (* a (* (cos 1) (log (sqrt (atan2 b b))))) in a 0.718 * [taylor]: Taking taylor expansion of a in a 0.718 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b 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 b b))) in a 0.718 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.718 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.719 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b 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 b b))) in a 0.719 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.719 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.721 * [taylor]: Taking taylor expansion of 0 in a 0.723 * [taylor]: Taking taylor expansion of 0 in a 0.723 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 0.724 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in a 0.724 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.724 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.724 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.724 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in a 0.724 * [taylor]: Taking taylor expansion of (cos 1) in a 0.724 * [taylor]: Taking taylor expansion of 1 in a 0.724 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.724 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.724 * [taylor]: Taking taylor expansion of b in a 0.724 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.724 * [taylor]: Taking taylor expansion of a in a 0.724 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in b 0.724 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.724 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.724 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.724 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in b 0.724 * [taylor]: Taking taylor expansion of (cos 1) in b 0.724 * [taylor]: Taking taylor expansion of 1 in b 0.724 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.724 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.724 * [taylor]: Taking taylor expansion of b in b 0.724 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.724 * [taylor]: Taking taylor expansion of a in b 0.725 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in b 0.725 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.725 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.725 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.725 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in b 0.725 * [taylor]: Taking taylor expansion of (cos 1) in b 0.725 * [taylor]: Taking taylor expansion of 1 in b 0.725 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.725 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.725 * [taylor]: Taking taylor expansion of b in b 0.725 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.725 * [taylor]: Taking taylor expansion of a in b 0.725 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.725 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.725 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.725 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.726 * [taylor]: Taking taylor expansion of (cos 1) in a 0.726 * [taylor]: Taking taylor expansion of 1 in a 0.726 * [taylor]: Taking taylor expansion of (- (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a)) in a 0.726 * [taylor]: Taking taylor expansion of (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a) in a 0.726 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.726 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.726 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.726 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.727 * [taylor]: Taking taylor expansion of (cos 1) in a 0.727 * [taylor]: Taking taylor expansion of 1 in a 0.727 * [taylor]: Taking taylor expansion of a in a 0.729 * [taylor]: Taking taylor expansion of 0 in a 0.730 * [taylor]: Taking taylor expansion of 0 in a 0.733 * [taylor]: Taking taylor expansion of 0 in a 0.734 * [approximate]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in (b a) around 0 0.734 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.734 * [taylor]: Taking taylor expansion of (cos 1) in a 0.734 * [taylor]: Taking taylor expansion of 1 in a 0.734 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.734 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.734 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.734 * [taylor]: Taking taylor expansion of a in a 0.734 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.734 * [taylor]: Taking taylor expansion of b in a 0.734 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.734 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.734 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.734 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.734 * [taylor]: Taking taylor expansion of (cos 1) in b 0.734 * [taylor]: Taking taylor expansion of 1 in b 0.734 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.735 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.735 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.735 * [taylor]: Taking taylor expansion of a in b 0.735 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.735 * [taylor]: Taking taylor expansion of b in b 0.735 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.735 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.735 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.735 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.735 * [taylor]: Taking taylor expansion of (cos 1) in b 0.735 * [taylor]: Taking taylor expansion of 1 in b 0.735 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.735 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.735 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.735 * [taylor]: Taking taylor expansion of a in b 0.735 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.735 * [taylor]: Taking taylor expansion of b in b 0.735 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.735 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.735 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.736 * [taylor]: Taking taylor expansion of (* -1 (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.736 * [taylor]: Taking taylor expansion of -1 in a 0.736 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.736 * [taylor]: Taking taylor expansion of (cos 1) in a 0.736 * [taylor]: Taking taylor expansion of 1 in a 0.736 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.736 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.736 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.737 * [taylor]: Taking taylor expansion of (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) in a 0.737 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.737 * [taylor]: Taking taylor expansion of (cos 1) in a 0.737 * [taylor]: Taking taylor expansion of 1 in a 0.737 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.737 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.737 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.737 * [taylor]: Taking taylor expansion of a in a 0.739 * [taylor]: Taking taylor expansion of 0 in a 0.741 * [taylor]: Taking taylor expansion of 0 in a 0.744 * [taylor]: Taking taylor expansion of 0 in a 0.744 * * * [progress]: simplifying candidates 0.746 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt 1)) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log 1) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (sqrt (atan2 b b)))) (exp (log (sqrt (atan2 b b)))) (* (cbrt (log (sqrt (atan2 b b)))) (cbrt (log (sqrt (atan2 b b))))) (cbrt (log (sqrt (atan2 b b)))) (* (* (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b)))) (sqrt (log (sqrt (atan2 b b)))) (sqrt (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (+ (log (cos 1)) (log (log (sqrt (atan2 b b))))) (log (* (cos 1) (log (sqrt (atan2 b b))))) (exp (* (cos 1) (log (sqrt (atan2 b b))))) (* (* (* (cos 1) (cos 1)) (cos 1)) (* (* (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))))) (* (cbrt (* (cos 1) (log (sqrt (atan2 b b))))) (cbrt (* (cos 1) (log (sqrt (atan2 b b)))))) (cbrt (* (cos 1) (log (sqrt (atan2 b b))))) (* (* (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b))))) (sqrt (* (cos 1) (log (sqrt (atan2 b b))))) (sqrt (* (cos 1) (log (sqrt (atan2 b b))))) (* (sqrt (cos 1)) (sqrt (log (sqrt (atan2 b b))))) (* (sqrt (cos 1)) (sqrt (log (sqrt (atan2 b b))))) (* (cos 1) (log (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt 1))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log 1)) (* (cos 1) (log (sqrt (atan2 b b)))) (* (log (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))) (cos 1)) (* (log (cbrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))) (cos 1)) (* (log (sqrt (cbrt (atan2 b b)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt 1)) (cos 1)) (* (log (sqrt (atan2 b b))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log 1) (cos 1)) (* (log (sqrt (atan2 b b))) (cos 1)) (* (cos 1) 1/2) (* (cos 1) 1) (* (cos 1) (/ 1 2)) (* (cos 1) (* (cbrt (log (sqrt (atan2 b b)))) (cbrt (log (sqrt (atan2 b b)))))) (* (cos 1) (sqrt (log (sqrt (atan2 b b))))) (* (cos 1) 1) (* (cbrt (cos 1)) (log (sqrt (atan2 b b)))) (* (sqrt (cos 1)) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (* (* (sqrt (atan2 b b)) (sqrt (atan2 b b))) (sqrt (atan2 b b))) (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt 1) (sqrt (atan2 b b)) (/ 1 2) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (+ (+ (log (cos 1)) (log (log (sqrt (atan2 b b))))) (log (- b a))) (+ (log (* (cos 1) (log (sqrt (atan2 b b))))) (log (- b a))) (log (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (exp (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (* (* (cos 1) (cos 1)) (cos 1)) (* (* (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))))) (* (* (- b a) (- b a)) (- b a))) (* (* (* (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b))))) (* (* (- b a) (- b a)) (- b a))) (* (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)))) (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (sqrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (sqrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* b (* (cos 1) (log (sqrt (atan2 b b))))) (* (- a) (* (cos 1) (log (sqrt (atan2 b b))))) (* b (* (cos 1) (log (sqrt (atan2 b b))))) (* (- a) (* (cos 1) (log (sqrt (atan2 b b))))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) 1) (* (* (cos 1) (log (sqrt (atan2 b b)))) (+ (sqrt b) (sqrt a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) 1) (* (log (sqrt (atan2 b b))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (pow b 3) (pow a 3))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (* b b) (* a a))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (- (* (cos 1) (* b (log (sqrt (atan2 b b))))) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (* (cos 1) (* b (log (sqrt (atan2 b b))))) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (* (cos 1) (* b (log (sqrt (atan2 b b))))) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) 0.750 * * [simplify]: iteration 0 : 240 enodes (cost 758 ) 0.756 * * [simplify]: iteration 1 : 1120 enodes (cost 651 ) 0.779 * * [simplify]: iteration 2 : 4795 enodes (cost 634 ) 0.855 * * [simplify]: iteration 3 : 5001 enodes (cost 634 ) 0.860 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (* (cbrt (log (sqrt (atan2 b b)))) (cbrt (log (sqrt (atan2 b b))))) (cbrt (log (sqrt (atan2 b b)))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (sqrt (atan2 b b)))) (sqrt (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (log (* (cos 1) (log (sqrt (atan2 b b))))) (log (* (cos 1) (log (sqrt (atan2 b b))))) (pow (sqrt (atan2 b b)) (cos 1)) (pow (* (cos 1) (log (sqrt (atan2 b b)))) 3) (* (cbrt (* (cos 1) (log (sqrt (atan2 b b))))) (cbrt (* (cos 1) (log (sqrt (atan2 b b)))))) (cbrt (* (cos 1) (log (sqrt (atan2 b b))))) (pow (* (cos 1) (log (sqrt (atan2 b b)))) 3) (sqrt (* (cos 1) (log (sqrt (atan2 b b))))) (sqrt (* (cos 1) (log (sqrt (atan2 b b))))) (* (sqrt (cos 1)) (sqrt (log (sqrt (atan2 b b))))) (* (sqrt (cos 1)) (sqrt (log (sqrt (atan2 b b))))) (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) 1/2) (cos 1) (* (cos 1) 1/2) (* (cos 1) (* (cbrt (log (sqrt (atan2 b b)))) (cbrt (log (sqrt (atan2 b b)))))) (* (cos 1) (sqrt (log (sqrt (atan2 b b))))) (cos 1) (* (cbrt (cos 1)) (log (sqrt (atan2 b b)))) (* (sqrt (cos 1)) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (pow (sqrt (atan2 b b)) 3) (fabs (cbrt (atan2 b b))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) 1 (sqrt (atan2 b b)) 1/2 (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (log (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (log (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (log (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (pow (sqrt (atan2 b b)) (* (cos 1) (- b a))) (pow (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) 3) (pow (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) 3) (* (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)))) (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (pow (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) 3) (sqrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (sqrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (- b a))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (+ (sqrt b) (sqrt a))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (log (sqrt (atan2 b b))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (pow b 3) (pow a 3))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (* b b) (* a a))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) 0.861 * * * [progress]: adding candidates to table 1.394 * * [progress]: iteration 3 / 4 1.394 * * * [progress]: picking best candidate 1.403 * * * * [pick]: Picked # 1.403 * * * [progress]: localizing error 1.419 * * * [progress]: generating rewritten candidates 1.419 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.426 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 2 1) 1.426 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1) 1.427 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.463 * * * [progress]: generating series expansions 1.463 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.463 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 1.463 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.463 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.463 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.463 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.463 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.463 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.468 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 1.468 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.468 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.468 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.468 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.468 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.468 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.473 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 1.473 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.473 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.473 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.473 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.474 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.474 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.479 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 2 1) 1.479 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 1.479 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.479 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.479 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.479 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.479 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 1.479 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.479 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.480 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.480 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.480 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 1.481 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.481 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.481 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.481 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.482 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 1) 1.482 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 1.482 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.482 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.482 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.482 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.482 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 1.482 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.482 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.483 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.483 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.484 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 1.484 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.484 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.484 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.484 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.485 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.485 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 1.485 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.485 * [taylor]: Taking taylor expansion of (cos 1) in b 1.485 * [taylor]: Taking taylor expansion of 1 in b 1.485 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.485 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.485 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.485 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.485 * [taylor]: Taking taylor expansion of (cos 1) in b 1.485 * [taylor]: Taking taylor expansion of 1 in b 1.485 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.485 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.485 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.491 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 1.491 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.491 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.491 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.491 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.492 * [taylor]: Taking taylor expansion of (cos 1) in b 1.492 * [taylor]: Taking taylor expansion of 1 in b 1.492 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.492 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.492 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.492 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.492 * [taylor]: Taking taylor expansion of (cos 1) in b 1.492 * [taylor]: Taking taylor expansion of 1 in b 1.499 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 1.499 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.499 * [taylor]: Taking taylor expansion of (cos 1) in b 1.499 * [taylor]: Taking taylor expansion of 1 in b 1.499 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.499 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.499 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.499 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.499 * [taylor]: Taking taylor expansion of (cos 1) in b 1.499 * [taylor]: Taking taylor expansion of 1 in b 1.499 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.499 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.499 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.506 * * * [progress]: simplifying candidates 1.508 * [simplify]: Simplifying using # : (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (atan2 b b) (atan2 b b))) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (atan2 b b) (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (exp (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (* (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (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))) (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 (* 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b))))))) (* (* (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (cos 1) (+ 1/2 1/2)) (* (cos 1) (+ 1/2 (/ 1 2))) (* (cos 1) (+ 1 1)) (* (cos 1) (+ (/ 1/2 2) (/ 1/2 2))) (* (cos 1) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (* (cos 1) (+ (/ 1 2) 1/2)) (* (cos 1) (+ (/ 1 2) (/ 1 2))) (* (cos 1) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (* (cos 1) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (* (cos 1) 1/2) (* (cos 1) 1) (* (cos 1) (/ 1/2 2)) (* (cos 1) (/ 1 2)) (* (cos 1) (/ (/ 1 2) 2)) (* (cos 1) 2) (* (cos 1) (+ 1 1)) (* (cos 1) 1) (* (cos 1) (* 2 1/2)) (* (cos 1) (* 2 1)) (* (cos 1) (* 2 (/ 1/2 2))) (* (cos 1) (* 2 (/ 1 2))) (* (cos 1) (* 2 (/ (/ 1 2) 2))) (* (cos 1) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))))) (* (cos 1) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (cos 1) 1) (* (cbrt (cos 1)) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (sqrt (cos 1)) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cos 1) (log (* (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))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (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)))) 1.512 * * [simplify]: iteration 0 : 186 enodes (cost 575 ) 1.516 * * [simplify]: iteration 1 : 672 enodes (cost 490 ) 1.539 * * [simplify]: iteration 2 : 4815 enodes (cost 458 ) 1.791 * * [simplify]: iteration 3 : 5001 enodes (cost 458 ) 1.795 * [simplify]: Simplified to: (* (log (atan2 b b)) 1/4) (* (log (atan2 b b)) 1/4) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (* (log (atan2 b b)) 1/4) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (* 2 (log (atan2 b b))) (log (atan2 b b)) (* 2 (log (atan2 b b))) (* (log (atan2 b b)) 1/4) (* (log (atan2 b b)) 1/4) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (* (log (atan2 b b)) 1/4) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (* (log (sqrt (atan2 b b))) 1)) (sqrt (atan2 b b)) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (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))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (pow (sqrt (atan2 b b)) 3) (fabs (cbrt (atan2 b b))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) 1 (sqrt (atan2 b b)) 1/2 (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (* (cos 1) (log (sqrt (atan2 b b)))) (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 (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))))) (cbrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (pow (* (cos 1) (log (sqrt (atan2 b b)))) 3) (sqrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (* (log (atan2 b b)) 1/4)) (* (cos 1) (* (log (atan2 b b)) 1/4)) (* (cos 1) (* (log (atan2 b b)) 1/4)) (* (cos 1) (* (log (atan2 b b)) 1/4)) (cos 1) (cos 1) (* (cos 1) 2) (* (cos 1) 1/2) (* (cos 1) 1/2) (cos 1) (cos 1) (* (cos 1) 1/2) (* (cos 1) 1/2) (* (cos 1) 1/2) (cos 1) (* (cos 1) 1/4) (* (cos 1) 1/2) (* (cos 1) 1/4) (* (cos 1) 2) (* (cos 1) 2) (cos 1) (cos 1) (* (cos 1) 2) (* (cos 1) 1/2) (cos 1) (* (cos 1) 1/2) (* (cos 1) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))))) (* (cos 1) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cos 1) (* 2 (* (cbrt (cos 1)) (log (sqrt (sqrt (atan2 b b)))))) (* 2 (* (sqrt (cos 1)) (log (sqrt (sqrt (atan2 b b)))))) (* (cos 1) (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)) (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)))) 1.795 * * * [progress]: adding candidates to table 2.526 * * [progress]: iteration 4 / 4 2.526 * * * [progress]: picking best candidate 2.541 * * * * [pick]: Picked # 2.541 * * * [progress]: localizing error 2.562 * * * [progress]: generating rewritten candidates 2.562 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 2.570 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 2 1) 2.577 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 1) 2.584 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1 2 1) 2.589 * * * [progress]: generating series expansions 2.589 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 2.589 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.589 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.589 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.589 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.589 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.589 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.589 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.594 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.594 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.594 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.594 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.594 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.594 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.594 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.599 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.599 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.599 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.599 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.600 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.600 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.600 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.605 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 2 1) 2.605 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.605 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.605 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.605 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.605 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.605 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.605 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.609 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.609 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.609 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.609 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.610 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.610 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.610 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.615 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.615 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.615 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.615 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.615 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.615 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.615 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.620 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 1) 2.620 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.620 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.620 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.621 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.621 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.621 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.621 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.629 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.629 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.629 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.629 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.629 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.629 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.629 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.634 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.634 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.634 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.634 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.635 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.635 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.635 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.640 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1 2 1) 2.640 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 2.640 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.640 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.640 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.640 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.641 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 2.641 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.641 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.641 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.641 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.642 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 2.642 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.642 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.642 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.642 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.643 * * * [progress]: simplifying candidates 2.644 * [simplify]: Simplifying using # : (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (atan2 b b) (atan2 b b))) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (atan2 b b) (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (exp (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (* (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (atan2 b b) (atan2 b b))) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (atan2 b b) (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (exp (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (* (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (atan2 b b) (atan2 b b))) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (atan2 b b) (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (exp (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (* (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (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)) 2.648 * * [simplify]: iteration 0 : 40 enodes (cost 539 ) 2.649 * * [simplify]: iteration 1 : 89 enodes (cost 466 ) 2.651 * * [simplify]: iteration 2 : 273 enodes (cost 460 ) 2.656 * * [simplify]: iteration 3 : 728 enodes (cost 460 ) 2.665 * * [simplify]: iteration 4 : 1750 enodes (cost 460 ) 2.692 * * [simplify]: iteration 5 : 5001 enodes (cost 453 ) 2.694 * [simplify]: Simplified to: (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (* 2 (log (atan2 b b))) (log (atan2 b b)) (* 2 (log (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (- (log (log (atan2 b b))) (log 2)) (sqrt (atan2 b b)) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (* 2 (log (atan2 b b))) (log (atan2 b b)) (* 2 (log (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (- (log (log (atan2 b b))) (log 2)) (sqrt (atan2 b b)) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (* 2 (log (atan2 b b))) (log (atan2 b b)) (* 2 (log (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (- (log (log (atan2 b b))) (log 2)) (sqrt (atan2 b b)) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (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)) 2.695 * * * [progress]: adding candidates to table 4.445 * [progress]: [Phase 3 of 3] Extracting. 4.445 * * [regime]: Finding splitpoints for: (# #) 4.447 * * * [regime-changes]: Trying 4 branch expressions: ((pow (sqrt (atan2 b b)) (- b a)) (sin (pow (sqrt (atan2 b b)) (- b a))) b a) 4.447 * * * * [regimes]: Trying to branch on (pow (sqrt (atan2 b b)) (- b a)) from (# #) 4.525 * * * * [regimes]: Trying to branch on (sin (pow (sqrt (atan2 b b)) (- b a))) from (# #) 4.612 * * * * [regimes]: Trying to branch on b from (# #) 4.665 * * * * [regimes]: Trying to branch on a from (# #) 4.718 * * * [regime]: Found split indices: #