0.886 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.287 * * * [progress]: [2/2] Setting up program. 0.290 * [progress]: [Phase 2 of 3] Improving. 0.293 * [simplify]: Simplifying using # : (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.296 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 0.297 * * [simplify]: iteration 1 : 21 enodes (cost 9 ) 0.298 * * [simplify]: iteration 2 : 26 enodes (cost 9 ) 0.300 * * [simplify]: iteration 3 : 34 enodes (cost 9 ) 0.301 * * [simplify]: iteration 4 : 37 enodes (cost 9 ) 0.302 * * [simplify]: iteration 5 : 37 enodes (cost 9 ) 0.303 * [simplify]: Simplified to: (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.304 * * [progress]: iteration 1 / 4 0.304 * * * [progress]: picking best candidate 0.306 * * * * [pick]: Picked # 0.306 * * * [progress]: localizing error 0.316 * * * [progress]: generating rewritten candidates 0.316 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.322 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.325 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.327 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.333 * * * [progress]: generating series expansions 0.333 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.337 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.337 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.337 * [taylor]: Taking taylor expansion of (tan x) in x 0.338 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.339 * [taylor]: Taking taylor expansion of (sin x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (cos x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.340 * [taylor]: Taking taylor expansion of (tan x) in x 0.340 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.340 * [taylor]: Taking taylor expansion of (sin x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (cos x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.357 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.357 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.357 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.357 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.357 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.358 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.358 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.358 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.366 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.366 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.366 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.366 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.366 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.366 * [taylor]: Taking taylor expansion of -1 in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.366 * [taylor]: Taking taylor expansion of -1 in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.367 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.367 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.367 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.367 * [taylor]: Taking taylor expansion of -1 in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.367 * [taylor]: Taking taylor expansion of -1 in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.375 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.376 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.376 * [taylor]: Taking taylor expansion of (tan x) in x 0.376 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.376 * [taylor]: Taking taylor expansion of (sin x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (cos x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.377 * [taylor]: Taking taylor expansion of (tan x) in x 0.377 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.377 * [taylor]: Taking taylor expansion of (sin x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (cos x) in x 0.377 * [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 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 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 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 x in x 0.414 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.414 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.414 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.414 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.414 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.414 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.414 * [taylor]: Taking taylor expansion of -1 in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.414 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.414 * [taylor]: Taking taylor expansion of -1 in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.415 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.415 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.415 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.415 * [taylor]: Taking taylor expansion of -1 in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.416 * [taylor]: Taking taylor expansion of -1 in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.423 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.424 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0 0.424 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.424 * [taylor]: Taking taylor expansion of (tan x) in x 0.424 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.424 * [taylor]: Taking taylor expansion of (sin x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (cos x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.425 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.425 * [taylor]: Taking taylor expansion of (tan x) in x 0.425 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.425 * [taylor]: Taking taylor expansion of (sin x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (cos x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.433 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 0.433 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.433 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.433 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.433 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.434 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.434 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.434 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.445 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.445 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.445 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.445 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.445 * [taylor]: Taking taylor expansion of -1 in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.446 * [taylor]: Taking taylor expansion of -1 in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.446 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.446 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.446 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.446 * [taylor]: Taking taylor expansion of -1 in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.458 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.458 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.458 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.458 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.458 * [taylor]: Taking taylor expansion of (tan x) in x 0.458 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.458 * [taylor]: Taking taylor expansion of (sin x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (cos x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.459 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.459 * [taylor]: Taking taylor expansion of (tan x) in x 0.460 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.460 * [taylor]: Taking taylor expansion of (sin x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (cos x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.461 * [taylor]: Taking taylor expansion of (tan x) in x 0.461 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.461 * [taylor]: Taking taylor expansion of (sin x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (cos x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.462 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.462 * [taylor]: Taking taylor expansion of (tan x) in x 0.462 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.462 * [taylor]: Taking taylor expansion of (sin x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (cos x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.487 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.487 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.487 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.487 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.487 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.488 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.488 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.488 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.488 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.490 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.490 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.490 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.490 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.491 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.491 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.491 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.491 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.520 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.520 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.520 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.520 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.520 * [taylor]: Taking taylor expansion of -1 in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.520 * [taylor]: Taking taylor expansion of -1 in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.521 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.521 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.521 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.521 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.521 * [taylor]: Taking taylor expansion of -1 in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.521 * [taylor]: Taking taylor expansion of -1 in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.523 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.523 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.523 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.523 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.523 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.523 * [taylor]: Taking taylor expansion of -1 in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.524 * [taylor]: Taking taylor expansion of -1 in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.524 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.524 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.524 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.524 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.524 * [taylor]: Taking taylor expansion of -1 in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.525 * [taylor]: Taking taylor expansion of -1 in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.552 * * * [progress]: simplifying candidates 0.553 * [simplify]: Simplifying using # : (* (sin x) (sin x)) (* (cos x) (cos x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (tan x) (sin x)) (* (sin 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))) (- (* (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)))) (/ 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))) (+ (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)))) (+ (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)) (- 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))) (- (+ (* 0.6666666666666669 (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)) 0.556 * * [simplify]: iteration 0 : 154 enodes (cost 226 ) 0.559 * * [simplify]: iteration 1 : 411 enodes (cost 224 ) 0.566 * * [simplify]: iteration 2 : 1148 enodes (cost 224 ) 0.593 * * [simplify]: iteration 3 : 4447 enodes (cost 214 ) 0.689 * * [simplify]: iteration 4 : 5001 enodes (cost 213 ) 0.690 * [simplify]: Simplified to: (pow (sin x) 2) (pow (cos x) 2) (* (tan x) (sin x)) (* (tan x) (sin x)) (pow (sin x) 2) (pow (cos x) 2) (* (tan x) (sin x)) (* (tan x) (sin x)) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (- (* (tan x) (tan x))) (+ (* (- (tan x)) (pow (tan x) 3)) (* 1.0 1.0)) (+ 1.0 (* (tan x) (tan x))) (- (* (tan x) (tan x))) (- (* (tan x) (tan x)) 1.0) (- (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (pow (tan x) 2) (+ 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))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (* (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (+ 1.0 (* (tan x) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (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)) (- 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))) (- (+ (* 0.6666666666666669 (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)) 0.690 * * * [progress]: adding candidates to table 0.760 * * [progress]: iteration 2 / 4 0.760 * * * [progress]: picking best candidate 0.779 * * * * [pick]: Picked # 0.779 * * * [progress]: localizing error 0.792 * * * [progress]: generating rewritten candidates 0.792 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.794 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.795 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.797 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.799 * * * [progress]: generating series expansions 0.799 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.799 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 0.799 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.799 * [taylor]: Taking taylor expansion of (sin x) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.800 * [taylor]: Taking taylor expansion of (sin x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.808 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 0.808 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 0.808 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 0.808 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.813 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 0.813 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 0.813 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.813 * [taylor]: Taking taylor expansion of -1 in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 0.814 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.814 * [taylor]: Taking taylor expansion of -1 in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.818 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.819 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 0.819 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.819 * [taylor]: Taking taylor expansion of (sin x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.819 * [taylor]: Taking taylor expansion of (sin x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.827 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 0.827 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 0.827 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 0.827 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.832 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 0.832 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 0.832 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.832 * [taylor]: Taking taylor expansion of -1 in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 0.832 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.832 * [taylor]: Taking taylor expansion of -1 in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.837 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.837 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 0.837 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.837 * [taylor]: Taking taylor expansion of (cos x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.837 * [taylor]: Taking taylor expansion of (cos x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.844 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 0.844 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.844 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.844 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.852 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 0.852 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.852 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.852 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.852 * [taylor]: Taking taylor expansion of -1 in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.852 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.852 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.852 * [taylor]: Taking taylor expansion of -1 in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.857 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 0.857 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 0.857 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.857 * [taylor]: Taking taylor expansion of (cos x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.857 * [taylor]: Taking taylor expansion of (cos x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.863 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 0.863 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.863 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.863 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.868 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 0.868 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.868 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.868 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.868 * [taylor]: Taking taylor expansion of -1 in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.869 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.869 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.869 * [taylor]: Taking taylor expansion of -1 in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.874 * * * [progress]: simplifying candidates 0.874 * [simplify]: Simplifying using # : (* (log (sin x)) 2) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (* (log (sin x)) 2) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (* (log (cos x)) 2) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (* (log (cos x)) 2) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 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) (- (+ (* 1/3 (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) 0.877 * * [simplify]: iteration 0 : 61 enodes (cost 60 ) 0.878 * * [simplify]: iteration 1 : 197 enodes (cost 60 ) 0.882 * * [simplify]: iteration 2 : 590 enodes (cost 60 ) 0.900 * * [simplify]: iteration 3 : 2839 enodes (cost 60 ) 0.993 * * [simplify]: iteration 4 : 5001 enodes (cost 60 ) 0.994 * [simplify]: Simplified to: (* (log (sin x)) 2) (sin x) (sin x) (* (log (sin x)) 2) (sin x) (sin x) (* (log (cos x)) 2) (cos x) (cos x) (* (log (cos x)) 2) (cos x) (cos x) (- (+ (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) (- (+ (* 1/3 (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) 0.994 * * * [progress]: adding candidates to table 1.044 * * [progress]: iteration 3 / 4 1.044 * * * [progress]: picking best candidate 1.061 * * * * [pick]: Picked # 1.062 * * * [progress]: localizing error 1.075 * * * [progress]: generating rewritten candidates 1.075 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.079 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.081 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.085 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.089 * * * [progress]: generating series expansions 1.089 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.089 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 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) 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 1.104 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.104 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.104 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.104 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.104 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.105 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.105 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.105 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.112 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.112 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.112 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.112 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.112 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.112 * [taylor]: Taking taylor expansion of -1 in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.113 * [taylor]: Taking taylor expansion of -1 in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.113 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.113 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.113 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.113 * [taylor]: Taking taylor expansion of -1 in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.114 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.114 * [taylor]: Taking taylor expansion of -1 in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.123 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.124 * [approximate]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in (x) around 0 1.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x 1.124 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 1.124 * [taylor]: Taking taylor expansion of (tan x) in x 1.124 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.124 * [taylor]: Taking taylor expansion of (sin x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (cos x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (sin x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (cos x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x 1.127 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 1.127 * [taylor]: Taking taylor expansion of (tan x) in x 1.127 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.127 * [taylor]: Taking taylor expansion of (sin x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (cos x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (sin x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (cos x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.142 * [approximate]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in (x) around 0 1.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x 1.142 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 1.142 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.142 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.142 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x 1.144 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 1.144 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.144 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.144 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.158 * [approximate]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in (x) around 0 1.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x 1.158 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 1.158 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.158 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.158 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.158 * [taylor]: Taking taylor expansion of -1 in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.158 * [taylor]: Taking taylor expansion of -1 in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.159 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.159 * [taylor]: Taking taylor expansion of -1 in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.159 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.159 * [taylor]: Taking taylor expansion of -1 in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x 1.160 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 1.160 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.160 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.160 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.160 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.160 * [taylor]: Taking taylor expansion of -1 in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.160 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.160 * [taylor]: Taking taylor expansion of -1 in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.161 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.161 * [taylor]: Taking taylor expansion of -1 in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.161 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.161 * [taylor]: Taking taylor expansion of -1 in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.173 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.174 * [approximate]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in (x) around 0 1.174 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x 1.174 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 1.174 * [taylor]: Taking taylor expansion of (tan x) in x 1.174 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.174 * [taylor]: Taking taylor expansion of (sin x) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of (cos x) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of (sin x) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (cos x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x 1.177 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 1.177 * [taylor]: Taking taylor expansion of (tan x) in x 1.177 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.177 * [taylor]: Taking taylor expansion of (sin x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (cos x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (sin x) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (cos x) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.210 * [approximate]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in (x) around 0 1.210 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x 1.210 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 1.210 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.210 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.210 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x 1.212 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 1.212 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.212 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.212 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.223 * [approximate]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in (x) around 0 1.223 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x 1.223 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 1.223 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.223 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.223 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.223 * [taylor]: Taking taylor expansion of -1 in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.223 * [taylor]: Taking taylor expansion of -1 in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.224 * [taylor]: Taking taylor expansion of -1 in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.224 * [taylor]: Taking taylor expansion of -1 in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x 1.225 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 1.225 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.225 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.225 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.225 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.225 * [taylor]: Taking taylor expansion of -1 in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.225 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.225 * [taylor]: Taking taylor expansion of -1 in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.226 * [taylor]: Taking taylor expansion of -1 in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.226 * [taylor]: Taking taylor expansion of -1 in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.236 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.236 * [approximate]: Taking taylor expansion of (* (tan x) (sin x)) in (x) around 0 1.236 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 1.236 * [taylor]: Taking taylor expansion of (tan x) in x 1.236 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.236 * [taylor]: Taking taylor expansion of (sin x) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.236 * [taylor]: Taking taylor expansion of (cos x) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (sin x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 1.237 * [taylor]: Taking taylor expansion of (tan x) in x 1.237 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.237 * [taylor]: Taking taylor expansion of (sin x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (cos x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of (sin x) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.261 * [approximate]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in (x) around 0 1.261 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 1.261 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.261 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.261 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 1.262 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.262 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.262 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.269 * [approximate]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in (x) around 0 1.269 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 1.269 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.270 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.270 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.270 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.270 * [taylor]: Taking taylor expansion of -1 in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.270 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.270 * [taylor]: Taking taylor expansion of -1 in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.270 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.270 * [taylor]: Taking taylor expansion of -1 in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 1.271 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.271 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.271 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.271 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.271 * [taylor]: Taking taylor expansion of -1 in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.271 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.271 * [taylor]: Taking taylor expansion of -1 in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.272 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.272 * [taylor]: Taking taylor expansion of -1 in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.278 * * * [progress]: simplifying candidates 1.279 * [simplify]: Simplifying using # : (* (sin x) (sin x)) (* (cos x) (cos x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (- (pow 1.0 3) (pow (/ (* (tan x) (sin x)) (cos x)) 3)) (+ (* 1.0 1.0) (+ (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x))) (* 1.0 (/ (* (tan x) (sin x)) (cos x))))) (- (/ (* (tan x) (sin x)) (cos x))) (- (* 1.0 1.0) (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x)))) (+ 1.0 (/ (* (tan x) (sin x)) (cos x))) (- (/ (* (tan x) (sin x)) (cos x))) (- (* (tan x) (sin x))) (- (cos x)) (/ 1 (cos x)) (/ (cos x) (* (tan x) (sin x))) (/ (cos x) (sin x)) (/ (cos x) (tan x)) (* (cos x) (cos x)) (* (sin x) (sin 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)) (- 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))) (+ (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) (+ (* 31/360 (pow x 6)) (* 1/6 (pow x 4)))) (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 2) (cos x)) 1.282 * * [simplify]: iteration 0 : 122 enodes (cost 152 ) 1.285 * * [simplify]: iteration 1 : 327 enodes (cost 152 ) 1.290 * * [simplify]: iteration 2 : 1169 enodes (cost 152 ) 1.319 * * [simplify]: iteration 3 : 5001 enodes (cost 152 ) 1.320 * [simplify]: Simplified to: (pow (sin x) 2) (pow (cos x) 2) (* (tan x) (sin x)) (* (tan x) (sin x)) (- (pow 1.0 3) (pow (/ (* (tan x) (sin x)) (cos x)) 3)) (+ (* (/ (* (tan x) (sin x)) (cos x)) (+ (/ (* (tan x) (sin x)) (cos x)) 1.0)) (* 1.0 1.0)) (- (/ (* (tan x) (sin x)) (cos x))) (- (* 1.0 1.0) (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x)))) (+ 1.0 (/ (* (tan x) (sin x)) (cos x))) (- (/ (* (tan x) (sin x)) (cos x))) (- (* (tan x) (sin x))) (- (cos x)) (/ 1 (cos x)) (/ (cos x) (* (tan x) (sin x))) (/ (cos x) (sin x)) (/ (cos x) (tan x)) (pow (cos x) 2) (pow (sin 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)) (- 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))) (+ (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) (+ (* 31/360 (pow x 6)) (* 1/6 (pow x 4)))) (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 2) (cos x)) 1.320 * * * [progress]: adding candidates to table 1.393 * * [progress]: iteration 4 / 4 1.394 * * * [progress]: picking best candidate 1.411 * * * * [pick]: Picked # 1.411 * * * [progress]: localizing error 1.428 * * * [progress]: generating rewritten candidates 1.428 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.429 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 1.431 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.433 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.438 * * * [progress]: generating series expansions 1.438 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.438 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 1.438 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.438 * [taylor]: Taking taylor expansion of (sin x) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 1.439 * [taylor]: Taking taylor expansion of (sin x) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.446 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 1.446 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.446 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 1.446 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.451 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 1.451 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.451 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.451 * [taylor]: Taking taylor expansion of -1 in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 1.452 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.452 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.452 * [taylor]: Taking taylor expansion of -1 in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.457 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 1.457 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 1.457 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.457 * [taylor]: Taking taylor expansion of (cos x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.457 * [taylor]: Taking taylor expansion of (cos x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.463 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 1.463 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.463 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.463 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.468 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 1.468 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.468 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.468 * [taylor]: Taking taylor expansion of -1 in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.469 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.469 * [taylor]: Taking taylor expansion of -1 in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.474 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.474 * [approximate]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in (x) around 0 1.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in x 1.474 * [taylor]: Taking taylor expansion of 1.0 in x 1.474 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x 1.474 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 1.474 * [taylor]: Taking taylor expansion of (tan x) in x 1.474 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.474 * [taylor]: Taking taylor expansion of (sin x) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.474 * [taylor]: Taking taylor expansion of (cos x) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.475 * [taylor]: Taking taylor expansion of (sin x) in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.475 * [taylor]: Taking taylor expansion of (cos x) in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in x 1.481 * [taylor]: Taking taylor expansion of 1.0 in x 1.481 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x 1.481 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 1.482 * [taylor]: Taking taylor expansion of (tan x) in x 1.482 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.482 * [taylor]: Taking taylor expansion of (sin x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (cos x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (sin x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (cos x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.496 * [approximate]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in (x) around 0 1.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in x 1.496 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x 1.496 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 1.496 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.496 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.496 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in x 1.498 * [taylor]: Taking taylor expansion of 1.0 in x 1.498 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x 1.498 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 1.498 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.498 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.498 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.499 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.499 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.512 * [approximate]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in (x) around 0 1.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in x 1.512 * [taylor]: Taking taylor expansion of 1.0 in x 1.512 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x 1.512 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 1.512 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.512 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.512 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.512 * [taylor]: Taking taylor expansion of -1 in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.512 * [taylor]: Taking taylor expansion of -1 in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.513 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.513 * [taylor]: Taking taylor expansion of -1 in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.513 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.513 * [taylor]: Taking taylor expansion of -1 in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in x 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x 1.514 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 1.514 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.514 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.514 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.514 * [taylor]: Taking taylor expansion of -1 in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.514 * [taylor]: Taking taylor expansion of -1 in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.515 * [taylor]: Taking taylor expansion of -1 in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.515 * [taylor]: Taking taylor expansion of -1 in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.527 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.528 * [approximate]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in (x) around 0 1.528 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x 1.528 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 1.528 * [taylor]: Taking taylor expansion of (tan x) in x 1.528 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.528 * [taylor]: Taking taylor expansion of (sin x) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (cos x) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (sin x) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.529 * [taylor]: Taking taylor expansion of (cos x) in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x 1.531 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 1.531 * [taylor]: Taking taylor expansion of (tan x) in x 1.531 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.531 * [taylor]: Taking taylor expansion of (sin x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of (cos x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (sin x) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (cos x) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.560 * [approximate]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in (x) around 0 1.560 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x 1.560 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 1.560 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.560 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.560 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.560 * [taylor]: Taking taylor expansion of x 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 x in x 1.561 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x 1.562 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 1.562 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.562 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.562 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.577 * [approximate]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in (x) around 0 1.577 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x 1.577 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 1.577 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.577 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.577 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.577 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.577 * [taylor]: Taking taylor expansion of -1 in x 1.577 * [taylor]: Taking taylor expansion of x in x 1.578 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.578 * [taylor]: Taking taylor expansion of -1 in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.578 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.578 * [taylor]: Taking taylor expansion of -1 in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.579 * [taylor]: Taking taylor expansion of (cos (/ -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 1.579 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x 1.579 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 1.579 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.579 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 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 (cos (/ -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 1.580 * [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 1.581 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.581 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.581 * [taylor]: Taking taylor expansion of -1 in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.590 * * * [progress]: simplifying candidates 1.590 * [simplify]: Simplifying using # : (* (log (sin x)) 2) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (* (log (cos x)) 2) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (- (pow 1.0 3) (pow (/ (* (tan x) (sin x)) (cos x)) 3)) (+ (* 1.0 1.0) (+ (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x))) (* 1.0 (/ (* (tan x) (sin x)) (cos x))))) (- (/ (* (tan x) (sin x)) (cos x))) (- (* 1.0 1.0) (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x)))) (+ 1.0 (/ (* (tan x) (sin x)) (cos x))) (- (/ (* (tan x) (sin x)) (cos x))) (- (* (tan x) (sin x))) (- (cos x)) (/ 1 (cos x)) (/ (cos x) (* (tan x) (sin x))) (/ (cos x) (sin x)) (/ (cos x) (tan x)) (* (cos x) (cos x)) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- 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))) (+ (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)) 1.593 * * [simplify]: iteration 0 : 140 enodes (cost 138 ) 1.596 * * [simplify]: iteration 1 : 472 enodes (cost 138 ) 1.605 * * [simplify]: iteration 2 : 1978 enodes (cost 138 ) 1.654 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 1.655 * [simplify]: Simplified to: (* (log (sin x)) 2) (sin x) (sin x) (* (log (cos x)) 2) (cos x) (cos x) (- (pow 1.0 3) (pow (/ (* (tan x) (sin x)) (cos x)) 3)) (+ (* (/ (* (tan x) (sin x)) (cos x)) (+ (/ (* (tan x) (sin x)) (cos x)) 1.0)) (* 1.0 1.0)) (- (/ (* (tan x) (sin x)) (cos x))) (- (* 1.0 1.0) (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x)))) (+ 1.0 (/ (* (tan x) (sin x)) (cos x))) (- (/ (* (tan x) (sin x)) (cos x))) (- (* (tan x) (sin x))) (- (cos x)) (/ 1 (cos x)) (/ (cos x) (* (tan x) (sin x))) (/ (cos x) (sin x)) (/ (cos x) (tan x)) (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) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- 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))) (+ (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)) 1.655 * * * [progress]: adding candidates to table 1.731 * [progress]: [Phase 3 of 3] Extracting. 1.732 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 1.734 * * * [regime-changes]: Trying 3 branch expressions: ((tan x) (* (tan x) (tan x)) x) 1.735 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # # #) 1.776 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # #) 1.803 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # # # # # # #) 1.838 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # #) 1.860 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 1.892 * * * [regime]: Found split indices: #