0.827 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.292 * * * [progress]: [2/2] Setting up program. 0.295 * [progress]: [Phase 2 of 3] Improving. 0.298 * [simplify]: Simplifying using # : (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.303 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 0.304 * * [simplify]: iteration 1 : 22 enodes (cost 9 ) 0.306 * * [simplify]: iteration 2 : 29 enodes (cost 9 ) 0.307 * * [simplify]: iteration 3 : 37 enodes (cost 9 ) 0.308 * * [simplify]: iteration 4 : 43 enodes (cost 9 ) 0.310 * * [simplify]: iteration 5 : 45 enodes (cost 9 ) 0.311 * * [simplify]: iteration 6 : 45 enodes (cost 9 ) 0.312 * [simplify]: Simplified to: (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.313 * * [progress]: iteration 1 / 4 0.313 * * * [progress]: picking best candidate 0.315 * * * * [pick]: Picked # 0.315 * * * [progress]: localizing error 0.325 * * * [progress]: generating rewritten candidates 0.325 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.333 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.338 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.344 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.351 * * * [progress]: generating series expansions 0.351 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.355 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.356 * [taylor]: Taking taylor expansion of (tan x) in x 0.357 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.357 * [taylor]: Taking taylor expansion of (sin x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (cos x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.359 * [taylor]: Taking taylor expansion of (tan x) in x 0.359 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.359 * [taylor]: Taking taylor expansion of (sin x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (cos x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.394 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.394 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.394 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.394 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.395 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.396 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.396 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.404 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.404 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.404 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.404 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.404 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.404 * [taylor]: Taking taylor expansion of -1 in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.404 * [taylor]: Taking taylor expansion of -1 in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.405 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.405 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.405 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.405 * [taylor]: Taking taylor expansion of -1 in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.405 * [taylor]: Taking taylor expansion of -1 in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.412 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.412 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.412 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.412 * [taylor]: Taking taylor expansion of (tan x) in x 0.412 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.412 * [taylor]: Taking taylor expansion of (sin x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (cos x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.413 * [taylor]: Taking taylor expansion of (tan x) in x 0.413 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.413 * [taylor]: Taking taylor expansion of (sin x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (cos x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.426 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.426 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.426 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.426 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.426 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.427 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.427 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.427 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.435 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.435 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.435 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.435 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.436 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.436 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.436 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.436 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.436 * [taylor]: Taking taylor expansion of -1 in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.436 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.436 * [taylor]: Taking taylor expansion of -1 in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.444 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.444 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.445 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.445 * [taylor]: Taking taylor expansion of (tan x) in x 0.445 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.445 * [taylor]: Taking taylor expansion of (sin x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (cos x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.446 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.446 * [taylor]: Taking taylor expansion of (tan x) in x 0.446 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.446 * [taylor]: Taking taylor expansion of (sin x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (cos x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.448 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.448 * [taylor]: Taking taylor expansion of (tan x) in x 0.448 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.448 * [taylor]: Taking taylor expansion of (sin x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (cos x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.449 * [taylor]: Taking taylor expansion of (tan x) in x 0.449 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.449 * [taylor]: Taking taylor expansion of (sin x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (cos x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.475 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.475 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.475 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.475 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.475 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.476 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.476 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.476 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.476 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.478 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.478 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.478 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.478 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.479 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.479 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.479 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.479 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.507 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.507 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.507 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.507 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.507 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.507 * [taylor]: Taking taylor expansion of -1 in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.508 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.508 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.508 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.508 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.509 * [taylor]: Taking taylor expansion of -1 in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.510 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.510 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.510 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.510 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.510 * [taylor]: Taking taylor expansion of -1 in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.511 * [taylor]: Taking taylor expansion of -1 in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.511 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.511 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.511 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.511 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.511 * [taylor]: Taking taylor expansion of -1 in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.539 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.539 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0 0.539 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.539 * [taylor]: Taking taylor expansion of 1.0 in x 0.539 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.539 * [taylor]: Taking taylor expansion of (tan x) in x 0.539 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.539 * [taylor]: Taking taylor expansion of (sin x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (cos x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.540 * [taylor]: Taking taylor expansion of (tan x) in x 0.540 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.540 * [taylor]: Taking taylor expansion of (sin x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (cos x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.547 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.547 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.548 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.548 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.548 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.548 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.548 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.559 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 0.559 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.559 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.559 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.559 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.560 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.560 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.560 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.563 * [taylor]: Taking taylor expansion of -1 in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.573 * * * [progress]: simplifying candidates 0.575 * [simplify]: Simplifying using # : (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (expm1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (- (log (- 1.0 (* (tan x) (tan x)))) (log (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (* (* (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (- (- 1.0 (* (tan x) (tan x)))) (- (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 1) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) 1) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) 1) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (* (+ 1.0 (* (tan x) (tan x))) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x)))))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (tan x) (tan x)))) (fma (- (tan x)) (tan x) (* (tan x) (tan x))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (tan x) (tan x)))) (fma (- (tan x)) (tan x) (* (tan x) (tan x))) (fma 1 1.0 (- (* (tan x) (tan x)))) (fma (- (tan x)) (tan x) (* (tan x) (tan x))) (expm1 (- 1.0 (* (tan x) (tan x)))) (log1p (- 1.0 (* (tan x) (tan x)))) (- (* (tan x) (tan x))) (- (* (tan x) (tan x))) (- (* (tan x) (tan x))) (/ (exp 1.0) (exp (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x))))) (- (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (- (* (tan x) (tan x))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 0.582 * * [simplify]: iteration 0 : 338 enodes (cost 1007 ) 0.588 * * [simplify]: iteration 1 : 1243 enodes (cost 917 ) 0.615 * * [simplify]: iteration 2 : 5001 enodes (cost 882 ) 0.620 * [simplify]: Simplified to: (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (expm1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (- (- 1.0 (* (tan x) (tan x)))) (- (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (fma (tan x) (tan x) 1.0)) (/ (tan x) (/ (fma (tan x) (tan x) 1.0) (tan x))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (hypot (tan x) (sqrt 1.0))) (/ (/ (cbrt (- 1.0 (* (tan x) (tan x)))) 1) (hypot (tan x) (sqrt 1.0))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (hypot (tan x) (sqrt 1.0))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (hypot (tan x) (sqrt 1.0))) (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (fma (tan x) (tan x) 1.0)) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (* (/ 2 (hypot (tan x) (sqrt 1.0))) 1/2) (/ (- 1.0 (* (tan x) (tan x))) (hypot (tan x) (sqrt 1.0))) 1 (/ (- 1.0 (* (tan x) (tan x))) (fma (tan x) (tan x) 1.0)) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (hypot (tan x) (sqrt 1.0))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (fma (tan x) (tan x) 1.0) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (hypot (tan x) (sqrt 1.0))) (- 1.0 (* (tan x) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (fma (tan x) (tan x) 1.0) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (fma (tan x) (tan x) 1.0) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (fma (pow (tan x) 6) 1 (pow 1.0 3))) (/ (- 1.0 (* (tan x) (tan x))) (fma 1.0 1.0 (* (- (pow (tan x) 3)) (tan x)))) (* (fma (* (tan x) (tan x)) (fma (tan x) (tan x) 1.0) (* 1.0 1.0)) (+ 1.0 (* (tan x) (tan x)))) (* (fma (tan x) (tan x) 1.0) (+ 1.0 (* (tan x) (tan x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (tan x) (tan x)))) (* (tan x) (+ (- (tan x)) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (tan x) (+ (- (tan x)) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (tan x) (+ (- (tan x)) (tan x))) (expm1 (- 1.0 (* (tan x) (tan x)))) (log1p (- 1.0 (* (tan x) (tan x)))) (- (* (tan x) (tan x))) (- (* (tan x) (tan x))) (- (* (tan x) (tan x))) (exp (- 1.0 (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (pow (- 1.0 (* (tan x) (tan x))) 3) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (fma (* (tan x) (tan x)) (fma (tan x) (tan x) 1.0) (* 1.0 1.0)) (- (* (tan x) (tan x))) (fma 1.0 1.0 (* (- (pow (tan x) 3)) (tan x))) (fma (tan x) (tan x) 1.0) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (- (* (tan x) (tan x))) (fma x x (fma 17/45 (pow x 6) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (fma x x (fma 17/45 (pow x 6) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (fma (pow x 4) 0.6666666666666669 (- 1.0 (* 2.0 (pow x 2)))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- 1.0 (fma (pow x 4) 2/3 (pow x 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 0.621 * * * [progress]: adding candidates to table 0.868 * * [progress]: iteration 2 / 4 0.868 * * * [progress]: picking best candidate 0.890 * * * * [pick]: Picked # 0.890 * * * [progress]: localizing error 0.901 * * * [progress]: generating rewritten candidates 0.901 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.908 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 0.914 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 0.922 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.932 * * * [progress]: generating series expansions 0.932 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.933 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.933 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.933 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.933 * [taylor]: Taking taylor expansion of 1.0 in x 0.933 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.933 * [taylor]: Taking taylor expansion of (tan x) in x 0.933 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.933 * [taylor]: Taking taylor expansion of (sin x) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (cos x) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.934 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.934 * [taylor]: Taking taylor expansion of (tan x) in x 0.934 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.934 * [taylor]: Taking taylor expansion of (sin x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (cos x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.936 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.936 * [taylor]: Taking taylor expansion of (tan x) in x 0.936 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.936 * [taylor]: Taking taylor expansion of (sin x) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (cos x) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.937 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.937 * [taylor]: Taking taylor expansion of (tan x) in x 0.937 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.937 * [taylor]: Taking taylor expansion of (sin x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (cos x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.958 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.958 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.958 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.958 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.958 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.959 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.959 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.959 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.959 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of 1.0 in x 0.962 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.962 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.962 * [taylor]: Taking taylor expansion of 1.0 in x 0.962 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.962 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.962 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.962 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.963 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.963 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.963 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.963 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.991 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.991 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.991 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.991 * [taylor]: Taking taylor expansion of 1.0 in x 0.991 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.991 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.991 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.991 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.991 * [taylor]: Taking taylor expansion of -1 in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.991 * [taylor]: Taking taylor expansion of -1 in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.992 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.992 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.992 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.992 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.992 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.992 * [taylor]: Taking taylor expansion of -1 in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.992 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.992 * [taylor]: Taking taylor expansion of -1 in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 0.994 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.994 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.994 * [taylor]: Taking taylor expansion of 1.0 in x 0.994 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.994 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.994 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.994 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.994 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.994 * [taylor]: Taking taylor expansion of -1 in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.994 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.994 * [taylor]: Taking taylor expansion of -1 in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.995 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.995 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.995 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.995 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.995 * [taylor]: Taking taylor expansion of -1 in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.995 * [taylor]: Taking taylor expansion of -1 in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 1.025 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.025 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.025 * [taylor]: Taking taylor expansion of (tan x) in x 1.025 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.025 * [taylor]: Taking taylor expansion of (sin x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (cos x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.026 * [taylor]: Taking taylor expansion of (tan x) in x 1.026 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.026 * [taylor]: Taking taylor expansion of (sin x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (cos x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.040 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.040 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.040 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.040 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.040 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.041 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.041 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.041 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.049 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.049 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.049 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.049 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.049 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.049 * [taylor]: Taking taylor expansion of -1 in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.049 * [taylor]: Taking taylor expansion of -1 in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.050 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.050 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.050 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.050 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.050 * [taylor]: Taking taylor expansion of -1 in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.050 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.050 * [taylor]: Taking taylor expansion of -1 in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.057 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.057 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.057 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.057 * [taylor]: Taking taylor expansion of (tan x) in x 1.058 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.058 * [taylor]: Taking taylor expansion of (sin x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (cos x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.058 * [taylor]: Taking taylor expansion of (tan x) in x 1.058 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.058 * [taylor]: Taking taylor expansion of (sin x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (cos x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.072 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.072 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.072 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.072 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.072 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.073 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.073 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.073 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.080 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.080 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.080 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.080 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.080 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.080 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.080 * [taylor]: Taking taylor expansion of -1 in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.081 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.081 * [taylor]: Taking taylor expansion of -1 in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.081 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.081 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.081 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.081 * [taylor]: Taking taylor expansion of -1 in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.082 * [taylor]: Taking taylor expansion of -1 in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.089 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.089 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 1.089 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 1.089 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.089 * [taylor]: Taking taylor expansion of (tan x) in x 1.089 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.089 * [taylor]: Taking taylor expansion of (sin x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (cos x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.090 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.090 * [taylor]: Taking taylor expansion of (tan x) in x 1.090 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.090 * [taylor]: Taking taylor expansion of (sin x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (cos x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 1.092 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.092 * [taylor]: Taking taylor expansion of (tan x) in x 1.092 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.092 * [taylor]: Taking taylor expansion of (sin x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (cos x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.092 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.092 * [taylor]: Taking taylor expansion of (tan x) in x 1.093 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.093 * [taylor]: Taking taylor expansion of (sin x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (cos x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 1.116 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.116 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.116 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.116 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.116 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.117 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.117 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.117 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.117 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.119 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.119 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.119 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.119 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.120 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.120 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.120 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.120 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 1.148 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.149 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.149 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.149 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.149 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.149 * [taylor]: Taking taylor expansion of -1 in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.149 * [taylor]: Taking taylor expansion of -1 in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.150 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.150 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.150 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.150 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.150 * [taylor]: Taking taylor expansion of -1 in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.150 * [taylor]: Taking taylor expansion of -1 in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.152 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.152 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.152 * [taylor]: Taking taylor expansion of 1.0 in x 1.152 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.152 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.152 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.152 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.152 * [taylor]: Taking taylor expansion of -1 in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.152 * [taylor]: Taking taylor expansion of -1 in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.153 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.153 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.153 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.153 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.153 * [taylor]: Taking taylor expansion of -1 in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.153 * [taylor]: Taking taylor expansion of -1 in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.180 * * * [progress]: simplifying candidates 1.182 * [simplify]: Simplifying using # : (expm1 (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log1p (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (* (cbrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))))) (log (cbrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (sqrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (sqrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log 1) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (log (exp (/ 1.0 (+ 1.0 (* (tan x) (tan x)))))) (log (exp (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (log (exp (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1))) (log (exp (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1))) (log (exp (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ 1 1))) (log (exp (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (+ (sqrt 1.0) (tan x)) 1))) (log (exp 1)) (log (exp (- 1.0 (* (tan x) (tan x))))) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))))) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))))) (log (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (exp (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (* (cbrt (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (cbrt (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))))) (cbrt (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (* (* (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (sqrt (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (sqrt (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (expm1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (- (log (- 1.0 (* (tan x) (tan x)))) (log (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (* (* (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (- (- 1.0 (* (tan x) (tan x)))) (- (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 1) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) 1) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) 1) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (* (+ 1.0 (* (tan x) (tan x))) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x)))))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 1.192 * * [simplify]: iteration 0 : 373 enodes (cost 1261 ) 1.198 * * [simplify]: iteration 1 : 1240 enodes (cost 1156 ) 1.222 * * [simplify]: iteration 2 : 5001 enodes (cost 1132 ) 1.228 * [simplify]: Simplified to: (expm1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (* 2 (log (cbrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))))) (log (cbrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (sqrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (sqrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) 0 (/ (- 1.0 (* (tan x) (tan x))) (fma (tan x) (tan x) 1.0)) (/ 1.0 (fma (tan x) (tan x) 1.0)) (/ (tan x) (/ (fma (tan x) (tan x) 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (fma (tan x) (tan x) 1.0)) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (+ (sqrt 1.0) (tan x)) 1 (- 1.0 (* (tan x) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (fma (pow (tan x) 6) 1 (pow 1.0 3))) (/ (- 1.0 (* (tan x) (tan x))) (fma 1.0 1.0 (* (- (pow (tan x) 3)) (tan x)))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (expm1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (- (- 1.0 (* (tan x) (tan x)))) (- (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (fma (tan x) (tan x) 1.0)) (/ (tan x) (/ (fma (tan x) (tan x) 1.0) (tan x))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (fma (tan x) (tan x) 1.0)) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (/ (- 1.0 (* (tan x) (tan x))) (fma (tan x) (tan x) 1.0)) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (fma (tan x) (tan x) 1.0) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (fma (tan x) (tan x) 1.0) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (fma (tan x) (tan x) 1.0) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (fma (pow (tan x) 6) 1 (pow 1.0 3))) (/ (- 1.0 (* (tan x) (tan x))) (fma 1.0 1.0 (* (- (pow (tan x) 3)) (tan x)))) (* (fma (* (tan x) (tan x)) (fma (tan x) (tan x) 1.0) (* 1.0 1.0)) (+ 1.0 (* (tan x) (tan x)))) (* (fma (tan x) (tan x) 1.0) (+ 1.0 (* (tan x) (tan x)))) (fma (pow x 4) 0.6666666666666669 (- 1.0 (* 2.0 (pow x 2)))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (fma x x (fma 17/45 (pow x 6) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (fma x x (fma 17/45 (pow x 6) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (fma (pow x 4) 0.6666666666666669 (- 1.0 (* 2.0 (pow x 2)))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 1.229 * * * [progress]: adding candidates to table 1.486 * * [progress]: iteration 3 / 4 1.486 * * * [progress]: picking best candidate 1.507 * * * * [pick]: Picked # 1.507 * * * [progress]: localizing error 1.520 * * * [progress]: generating rewritten candidates 1.520 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.523 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.525 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.528 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.532 * * * [progress]: generating series expansions 1.532 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.532 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 1.532 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.533 * [taylor]: Taking taylor expansion of (cos x) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.533 * [taylor]: Taking taylor expansion of (cos x) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.539 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 1.539 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.539 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.540 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.545 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 1.545 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.545 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.545 * [taylor]: Taking taylor expansion of -1 in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.545 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.545 * [taylor]: Taking taylor expansion of -1 in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.550 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.550 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 1.550 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.550 * [taylor]: Taking taylor expansion of (cos x) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.550 * [taylor]: Taking taylor expansion of (cos x) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.556 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 1.556 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.556 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.556 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.561 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 1.561 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.561 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.561 * [taylor]: Taking taylor expansion of -1 in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.561 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.561 * [taylor]: Taking taylor expansion of -1 in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.566 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.566 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 1.566 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.566 * [taylor]: Taking taylor expansion of (sin x) in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.567 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.567 * [taylor]: Taking taylor expansion of (sin x) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.574 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 1.574 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.574 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.575 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.579 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 1.579 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.579 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.579 * [taylor]: Taking taylor expansion of -1 in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.580 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.580 * [taylor]: Taking taylor expansion of -1 in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.584 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.585 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 1.585 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.585 * [taylor]: Taking taylor expansion of (sin x) in x 1.585 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.588 * [taylor]: Taking taylor expansion of (sin x) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.595 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 1.595 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.595 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.596 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.600 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 1.600 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.600 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.600 * [taylor]: Taking taylor expansion of -1 in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.601 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.601 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.601 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.601 * [taylor]: Taking taylor expansion of -1 in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.605 * * * [progress]: simplifying candidates 1.607 * [simplify]: Simplifying using # : (expm1 (pow (cos x) 2)) (log1p (pow (cos x) 2)) (* (log (cos x)) 2) (* (log (cos x)) 2) (* 1 2) (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) (pow (cbrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow 1 2) (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (* (* (pow (cos x) 2) (pow (cos x) 2)) (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (expm1 (pow (cos x) 2)) (log1p (pow (cos x) 2)) (* (log (cos x)) 2) (* (log (cos x)) 2) (* 1 2) (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) (pow (cbrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow 1 2) (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (* (* (pow (cos x) 2) (pow (cos x) 2)) (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (expm1 (pow (sin x) 2)) (log1p (pow (sin x) 2)) (* (log (sin x)) 2) (* (log (sin x)) 2) (* 1 2) (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (pow (sin x) 1) (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) (pow (cbrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow 1 2) (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (* (* (pow (sin x) 2) (pow (sin x) 2)) (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (expm1 (pow (sin x) 2)) (log1p (pow (sin x) 2)) (* (log (sin x)) 2) (* (log (sin x)) 2) (* 1 2) (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (pow (sin x) 1) (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) (pow (cbrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow 1 2) (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (* (* (pow (sin x) 2) (pow (sin x) 2)) (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) 1.611 * * [simplify]: iteration 0 : 146 enodes (cost 308 ) 1.614 * * [simplify]: iteration 1 : 487 enodes (cost 260 ) 1.624 * * [simplify]: iteration 2 : 1669 enodes (cost 260 ) 1.666 * * [simplify]: iteration 3 : 5001 enodes (cost 256 ) 1.669 * [simplify]: Simplified to: (expm1 (pow (cos x) 2)) (log1p (pow (cos x) 2)) (log (pow (cos x) 2)) (log (pow (cos x) 2)) 2 (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (cos x) (pow (cbrt (cos x)) 4) (pow (cbrt (cos x)) 2) (cos x) (cos x) 1 (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (cos x) (cos x) (expm1 (pow (cos x) 2)) (log1p (pow (cos x) 2)) (log (pow (cos x) 2)) (log (pow (cos x) 2)) 2 (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (cos x) (pow (cbrt (cos x)) 4) (pow (cbrt (cos x)) 2) (cos x) (cos x) 1 (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (cos x) (cos x) (expm1 (pow (sin x) 2)) (log1p (pow (sin x) 2)) (log (pow (sin x) 2)) (log (pow (sin x) 2)) 2 (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (sin x) (pow (cbrt (sin x)) 4) (pow (cbrt (sin x)) 2) (sin x) (sin x) 1 (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (pow (sin x) 6) (fabs (sin x)) (fabs (sin x)) (sin x) (sin x) (expm1 (pow (sin x) 2)) (log1p (pow (sin x) 2)) (log (pow (sin x) 2)) (log (pow (sin x) 2)) 2 (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (sin x) (pow (cbrt (sin x)) 4) (pow (cbrt (sin x)) 2) (sin x) (sin x) 1 (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (pow (sin x) 6) (fabs (sin x)) (fabs (sin x)) (sin x) (sin x) (fma (pow x 4) 1/3 (- 1 (pow x 2))) (pow (cos x) 2) (pow (cos x) 2) (fma (pow x 4) 1/3 (- 1 (pow x 2))) (pow (cos x) 2) (pow (cos x) 2) (fma x x (- (* 2/45 (pow x 6)) (* 1/3 (pow x 4)))) (pow (sin x) 2) (pow (sin x) 2) (fma x x (- (* 2/45 (pow x 6)) (* 1/3 (pow x 4)))) (pow (sin x) 2) (pow (sin x) 2) 1.669 * * * [progress]: adding candidates to table 1.843 * * [progress]: iteration 4 / 4 1.843 * * * [progress]: picking best candidate 1.865 * * * * [pick]: Picked # 1.865 * * * [progress]: localizing error 1.874 * * * [progress]: generating rewritten candidates 1.874 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.880 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.885 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.895 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.904 * * * [progress]: generating series expansions 1.904 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.904 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.904 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.904 * [taylor]: Taking taylor expansion of (tan x) in x 1.904 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.904 * [taylor]: Taking taylor expansion of (sin x) in x 1.904 * [taylor]: Taking taylor expansion of x in x 1.904 * [taylor]: Taking taylor expansion of (cos x) in x 1.904 * [taylor]: Taking taylor expansion of x in x 1.905 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.905 * [taylor]: Taking taylor expansion of (tan x) in x 1.905 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.905 * [taylor]: Taking taylor expansion of (sin x) in x 1.905 * [taylor]: Taking taylor expansion of x in x 1.905 * [taylor]: Taking taylor expansion of (cos x) in x 1.905 * [taylor]: Taking taylor expansion of x in x 1.918 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.919 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.919 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.919 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.919 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.919 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.920 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.920 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.927 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.927 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.927 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.927 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.927 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.927 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.927 * [taylor]: Taking taylor expansion of -1 in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.928 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.928 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.928 * [taylor]: Taking taylor expansion of -1 in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.928 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.928 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.928 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.929 * [taylor]: Taking taylor expansion of -1 in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.929 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.929 * [taylor]: Taking taylor expansion of -1 in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.936 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.936 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.936 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.936 * [taylor]: Taking taylor expansion of (tan x) in x 1.936 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.936 * [taylor]: Taking taylor expansion of (sin x) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.936 * [taylor]: Taking taylor expansion of (cos x) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.937 * [taylor]: Taking taylor expansion of (tan x) in x 1.937 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.937 * [taylor]: Taking taylor expansion of (sin x) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (cos x) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.954 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.954 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.954 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.954 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.954 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.954 * [taylor]: Taking taylor expansion of x in x 1.955 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.955 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.955 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.955 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.955 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.955 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.963 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.963 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.963 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.963 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.963 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.963 * [taylor]: Taking taylor expansion of -1 in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.963 * [taylor]: Taking taylor expansion of -1 in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.964 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.964 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.964 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.964 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.964 * [taylor]: Taking taylor expansion of -1 in x 1.964 * [taylor]: Taking taylor expansion of x in x 1.964 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.964 * [taylor]: Taking taylor expansion of -1 in x 1.964 * [taylor]: Taking taylor expansion of x in x 1.971 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.972 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 1.972 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 1.972 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.972 * [taylor]: Taking taylor expansion of 1.0 in x 1.972 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.972 * [taylor]: Taking taylor expansion of (tan x) in x 1.972 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.972 * [taylor]: Taking taylor expansion of (sin x) in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.972 * [taylor]: Taking taylor expansion of (cos x) in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.973 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.973 * [taylor]: Taking taylor expansion of (tan x) in x 1.973 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.973 * [taylor]: Taking taylor expansion of (sin x) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of (cos x) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.974 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 1.974 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.974 * [taylor]: Taking taylor expansion of 1.0 in x 1.974 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.974 * [taylor]: Taking taylor expansion of (tan x) in x 1.974 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.974 * [taylor]: Taking taylor expansion of (sin x) in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.974 * [taylor]: Taking taylor expansion of (cos x) in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.975 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.975 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.975 * [taylor]: Taking taylor expansion of (tan x) in x 1.975 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.975 * [taylor]: Taking taylor expansion of (sin x) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.975 * [taylor]: Taking taylor expansion of (cos x) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.996 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 1.997 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.997 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.997 * [taylor]: Taking taylor expansion of 1.0 in x 1.997 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.997 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.997 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.997 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.997 * [taylor]: Taking taylor expansion of x in x 1.997 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.997 * [taylor]: Taking taylor expansion of x in x 1.997 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.997 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.997 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.998 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.998 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 2.000 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 2.000 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 2.000 * [taylor]: Taking taylor expansion of 1.0 in x 2.000 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.000 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.000 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.000 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.000 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.000 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 2.000 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.001 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.001 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.001 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [taylor]: Taking taylor expansion of 1.0 in x 2.031 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 2.031 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 2.031 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 2.031 * [taylor]: Taking taylor expansion of 1.0 in x 2.031 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.031 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.031 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.031 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.031 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.031 * [taylor]: Taking taylor expansion of -1 in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.032 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.032 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.032 * [taylor]: Taking taylor expansion of -1 in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.032 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 2.032 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.032 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.032 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.032 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.032 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.032 * [taylor]: Taking taylor expansion of -1 in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.033 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.033 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.033 * [taylor]: Taking taylor expansion of -1 in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.033 * [taylor]: Taking taylor expansion of 1.0 in x 2.034 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 2.034 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 2.034 * [taylor]: Taking taylor expansion of 1.0 in x 2.034 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.034 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.035 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.035 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.035 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.035 * [taylor]: Taking taylor expansion of -1 in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.035 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.035 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.035 * [taylor]: Taking taylor expansion of -1 in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.035 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 2.035 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.035 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.036 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.036 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.036 * [taylor]: Taking taylor expansion of -1 in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.036 * [taylor]: Taking taylor expansion of -1 in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [taylor]: Taking taylor expansion of 1.0 in x 2.063 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.063 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow (tan x) 2) 1.0)) in (x) around 0 2.063 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan x) 2) 1.0)) in x 2.063 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 2.063 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.063 * [taylor]: Taking taylor expansion of (tan x) in x 2.063 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.063 * [taylor]: Taking taylor expansion of (sin x) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (cos x) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.064 * [taylor]: Taking taylor expansion of 1.0 in x 2.065 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan x) 2) 1.0)) in x 2.065 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 2.065 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.065 * [taylor]: Taking taylor expansion of (tan x) in x 2.065 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.065 * [taylor]: Taking taylor expansion of (sin x) in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of (cos x) in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of 1.0 in x 2.079 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 2.079 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 2.079 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 2.079 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.079 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.079 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.079 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.079 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.080 * [taylor]: Taking taylor expansion of 1.0 in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 2.080 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 2.080 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.080 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.081 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.081 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of 1.0 in x 2.096 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 2.096 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 2.096 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 2.096 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.096 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.096 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.096 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.096 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.096 * [taylor]: Taking taylor expansion of -1 in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.097 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.097 * [taylor]: Taking taylor expansion of -1 in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of 1.0 in x 2.098 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 2.098 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 2.098 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.098 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.098 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.098 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.098 * [taylor]: Taking taylor expansion of -1 in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.098 * [taylor]: Taking taylor expansion of -1 in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of 1.0 in x 2.113 * * * [progress]: simplifying candidates 2.114 * [simplify]: Simplifying using # : (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (expm1 (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (log1p (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (+ (log (- 1.0 (* (tan x) (tan x)))) (- (log (+ 1.0 (* (tan x) (tan x)))))) (+ (log (- 1.0 (* (tan x) (tan x)))) (- 0 (log (+ 1.0 (* (tan x) (tan x)))))) (+ (log (- 1.0 (* (tan x) (tan x)))) (- (log 1) (log (+ 1.0 (* (tan x) (tan x)))))) (+ (log (- 1.0 (* (tan x) (tan x)))) (log (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (log (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (exp (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (/ (* (* 1 1) 1) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))))) (* (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (* (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (cbrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (cbrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x))))))) (cbrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (* (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (sqrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (sqrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) 1) (* (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))) (* (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))) 1) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (* (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt 1) (sqrt (+ 1.0 (* (tan x) (tan x)))))) (* (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt 1) (sqrt (+ 1.0 (* (tan x) (tan x)))))) (* (sqrt (- 1.0 (* (tan x) (tan x)))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))) (* (sqrt (- 1.0 (* (tan x) (tan x)))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))) (* (- 1.0 (* (tan x) (tan x))) (* (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))))) (* (- 1.0 (* (tan x) (tan x))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (- 1.0 (* (tan x) (tan x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))) (* (- 1.0 (* (tan x) (tan x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (* (tan x) (tan x)))))) (* (- 1.0 (* (tan x) (tan x))) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- 1.0 (* (tan x) (tan x))) (/ (sqrt 1) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))) (* (- 1.0 (* (tan x) (tan x))) (/ (sqrt 1) (sqrt (+ 1.0 (* (tan x) (tan x)))))) (* (- 1.0 (* (tan x) (tan x))) (/ (sqrt 1) 1)) (* (- 1.0 (* (tan x) (tan x))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))) (* (- 1.0 (* (tan x) (tan x))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))) (* (- 1.0 (* (tan x) (tan x))) (/ 1 1)) (* (- 1.0 (* (tan x) (tan x))) 1) (* (- 1.0 (* (tan x) (tan x))) 1) (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3)))) (* (- 1.0 (* (tan x) (tan x))) (/ 1 (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (sqrt (- 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- (sqrt 1.0) (tan x)) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) 1) (* (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (expm1 (/ 1 (+ 1.0 (* (tan x) (tan x))))) (log1p (/ 1 (+ 1.0 (* (tan x) (tan x))))) (- 1) (- (log (+ 1.0 (* (tan x) (tan x))))) (- 0 (log (+ 1.0 (* (tan x) (tan x))))) (- (log 1) (log (+ 1.0 (* (tan x) (tan x))))) (log (/ 1 (+ 1.0 (* (tan x) (tan x))))) (exp (/ 1 (+ 1.0 (* (tan x) (tan x))))) (/ (* (* 1 1) 1) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (- 1) (- (+ 1.0 (* (tan x) (tan x)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt 1) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (cbrt 1) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt 1) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt 1) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt 1) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt 1) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ 1 (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 1) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) 1) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 1) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt 1)) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt 1)) (/ (+ 1.0 (* (tan x) (tan x))) 1) (/ 1 (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ 1 (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- (+ (* 0.33333333333333337 (pow x 4)) 1.0) (* 1.0 (pow x 2))) (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 2.125 * * [simplify]: iteration 0 : 404 enodes (cost 1182 ) 2.134 * * [simplify]: iteration 1 : 1847 enodes (cost 1018 ) 2.170 * * [simplify]: iteration 2 : 5001 enodes (cost 959 ) 2.175 * [simplify]: Simplified to: (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (expm1 (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (log1p (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (fma (tan x) (tan x) 1.0)) (- (log (- 1.0 (* (tan x) (tan x)))) (log (fma (tan x) (tan x) 1.0))) (- (log (- 1.0 (* (tan x) (tan x)))) (log (fma (tan x) (tan x) 1.0))) (- (log (- 1.0 (* (tan x) (tan x)))) (log (fma (tan x) (tan x) 1.0))) (- (log (- 1.0 (* (tan x) (tan x)))) (log (fma (tan x) (tan x) 1.0))) (- (log (- 1.0 (* (tan x) (tan x)))) (log (fma (tan x) (tan x) 1.0))) (pow (exp (- 1.0 (* (tan x) (tan x)))) (/ 1 (fma (tan x) (tan x) 1.0))) (/ (pow (- 1.0 (* (tan x) (tan x))) 3) (pow (fma (tan x) (tan x) 1.0) 3)) (/ (pow (- 1.0 (* (tan x) (tan x))) 3) (pow (fma (tan x) (tan x) 1.0) 3)) (* (cbrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (cbrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x))))))) (cbrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (/ (pow (- 1.0 (* (tan x) (tan x))) 3) (pow (fma (tan x) (tan x) 1.0) 3)) (sqrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (sqrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (* (fma (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))) (* 1.0 1.0)) (fma (tan x) (tan x) 1.0)) (fma (- (pow (tan x) 3)) (tan x) (* 1.0 1.0)) (* (fma (tan x) (tan x) 1.0) (fma (tan x) (tan x) 1.0)) (* (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (/ (* (sqrt (- 1.0 (* (tan x) (tan x)))) 1) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (sqrt (- 1.0 (* (tan x) (tan x)))) 1) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (sqrt (- 1.0 (* (tan x) (tan x)))) 1) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (sqrt (- 1.0 (* (tan x) (tan x)))) 1) (sqrt (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) (* (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))))) (* (- 1.0 (* (tan x) (tan x))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (fma (pow (tan x) 6) 1 (pow 1.0 3))) (/ 1 (fma (tan x) (tan x) 1.0)) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (fma (tan x) (tan x) 1.0)) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (fma (tan x) (tan x) 1.0)) (/ (- 1.0 (* (tan x) (tan x))) (fma (tan x) (tan x) 1.0)) (/ (- (sqrt 1.0) (tan x)) (fma (tan x) (tan x) 1.0)) (- 1.0 (* (tan x) (tan x))) (/ (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (fma (tan x) (tan x) 1.0)) (- 1.0 (* (tan x) (tan x))) (expm1 (/ 1 (+ 1.0 (* (tan x) (tan x))))) (log1p (/ 1 (+ 1.0 (* (tan x) (tan x))))) (- 1) (- (log (fma (tan x) (tan x) 1.0))) (- (log (fma (tan x) (tan x) 1.0))) (- (log (fma (tan x) (tan x) 1.0))) (- (log (fma (tan x) (tan x) 1.0))) (exp (/ 1 (fma (tan x) (tan x) 1.0))) (/ 1 (pow (fma (tan x) (tan x) 1.0) 3)) (* (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (/ 1 (pow (fma (tan x) (tan x) 1.0) 3)) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (- 1) (- (fma (tan x) (tan x) 1.0)) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ 1 (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (/ 1 (fma (tan x) (tan x) 1.0)) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ 1 (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (/ 1 (fma (tan x) (tan x) 1.0)) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ 1 (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (/ 1 (fma (tan x) (tan x) 1.0)) (/ 1 (fma (tan x) (tan x) 1.0)) (fma (tan x) (tan x) 1.0) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (fma (tan x) (tan x) 1.0) (fma (tan x) (tan x) 1.0) (fma (tan x) (tan x) 1.0) (* (/ 2 (fma (pow (tan x) 6) 1 (pow 1.0 3))) 1/2) (* (/ 2 (fma (- (pow (tan x) 3)) (tan x) (* 1.0 1.0))) 1/2) (fma x x (fma 17/45 (pow x 6) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (fma x x (fma 17/45 (pow x 6) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (fma (pow x 4) 0.6666666666666669 (- 1.0 (* 2.0 (pow x 2)))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (fma (pow x 4) 0.33333333333333337 (- 1.0 (* 1.0 (pow x 2)))) (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 2.176 * * * [progress]: adding candidates to table 2.386 * [progress]: [Phase 3 of 3] Extracting. 2.387 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.389 * * * [regime-changes]: Trying 4 branch expressions: ((tan x) (* (tan x) (tan x)) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) x) 2.390 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # # # #) 2.432 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # # # # # # # #) 2.467 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) from (# # # # # # # # # # #) 2.505 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 2.539 * * * [regime]: Found split indices: #