0.861 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.283 * * * [progress]: [2/2] Setting up program. 0.286 * [progress]: [Phase 2 of 3] Improving. 0.288 * [simplify]: Simplifying using # : (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.293 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 0.295 * * [simplify]: iteration 1 : 21 enodes (cost 9 ) 0.296 * * [simplify]: iteration 2 : 26 enodes (cost 9 ) 0.297 * * [simplify]: iteration 3 : 34 enodes (cost 9 ) 0.299 * * [simplify]: iteration 4 : 37 enodes (cost 9 ) 0.300 * * [simplify]: iteration 5 : 37 enodes (cost 9 ) 0.300 * [simplify]: Simplified to: (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.302 * * [progress]: iteration 1 / 4 0.302 * * * [progress]: picking best candidate 0.304 * * * * [pick]: Picked # 0.304 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.320 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.323 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.327 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.331 * * * [progress]: generating series expansions 0.331 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.335 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.336 * [taylor]: Taking taylor expansion of (tan x) in x 0.337 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.337 * [taylor]: Taking taylor expansion of (sin x) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (cos x) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.339 * [taylor]: Taking taylor expansion of (tan x) in x 0.339 * [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 0.356 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.356 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.356 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.356 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 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 0.365 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.365 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.365 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.365 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.365 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.365 * [taylor]: Taking taylor expansion of -1 in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.365 * [taylor]: Taking taylor expansion of -1 in x 0.365 * [taylor]: Taking taylor expansion of x in x 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 0.367 * [taylor]: Taking taylor expansion of x in x 0.389 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.389 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.389 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.390 * [taylor]: Taking taylor expansion of (tan x) in x 0.390 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.390 * [taylor]: Taking taylor expansion of (sin x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (cos x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.390 * [taylor]: Taking taylor expansion of (tan x) in x 0.391 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.391 * [taylor]: Taking taylor expansion of (sin x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (cos x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.406 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.406 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.406 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.406 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.406 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.407 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.407 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.407 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.415 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 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 0.416 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.416 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.416 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.416 * [taylor]: Taking taylor expansion of (sin (/ -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 0.417 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.417 * [taylor]: Taking taylor expansion of -1 in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.424 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.424 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.424 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 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)) 0.425 * [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 0.426 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.426 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.426 * [taylor]: Taking taylor expansion of (tan x) in x 0.426 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.426 * [taylor]: Taking taylor expansion of (sin x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (cos x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.428 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.428 * [taylor]: Taking taylor expansion of (tan x) in x 0.428 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.428 * [taylor]: Taking taylor expansion of (sin x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (cos x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.429 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.429 * [taylor]: Taking taylor expansion of (tan x) in x 0.429 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.429 * [taylor]: Taking taylor expansion of (sin x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (cos x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.451 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.451 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.451 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.451 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.452 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.452 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.452 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.452 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.454 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.454 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.454 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.454 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.455 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.455 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.455 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.455 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [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 -1 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 -1 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 0.489 * [taylor]: Taking taylor expansion of -1 in x 0.489 * [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 -1 in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.491 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.491 * [taylor]: Taking taylor expansion of 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 -1 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 -1 in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.492 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.492 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.492 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.492 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.492 * [taylor]: Taking taylor expansion of -1 in x 0.492 * [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 -1 in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.521 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0 0.521 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.521 * [taylor]: Taking taylor expansion of (tan x) in x 0.521 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.521 * [taylor]: Taking taylor expansion of (sin x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (cos x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.522 * [taylor]: Taking taylor expansion of (tan x) in x 0.522 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.522 * [taylor]: Taking taylor expansion of (sin x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (cos x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.529 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 0.529 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.529 * [taylor]: Taking taylor expansion of 1.0 in x 0.529 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.529 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.529 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.529 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.530 * [taylor]: Taking taylor expansion of 1.0 in x 0.530 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.530 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.530 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.530 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.541 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 0.541 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.541 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.541 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.541 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.541 * [taylor]: Taking taylor expansion of -1 in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.542 * [taylor]: Taking taylor expansion of -1 in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.542 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.542 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.542 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.542 * [taylor]: Taking taylor expansion of -1 in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.543 * [taylor]: Taking taylor expansion of -1 in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.554 * * * [progress]: simplifying candidates 0.554 * [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)) (- (- 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 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))) (+ (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))) 0.558 * * [simplify]: iteration 0 : 154 enodes (cost 226 ) 0.561 * * [simplify]: iteration 1 : 411 enodes (cost 224 ) 0.568 * * [simplify]: iteration 2 : 1148 enodes (cost 224 ) 0.596 * * [simplify]: iteration 3 : 4447 enodes (cost 214 ) 0.691 * * [simplify]: iteration 4 : 5001 enodes (cost 213 ) 0.693 * [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)) (- (* (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 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))) (+ (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))) 0.693 * * * [progress]: adding candidates to table 0.761 * * [progress]: iteration 2 / 4 0.761 * * * [progress]: picking best candidate 0.777 * * * * [pick]: Picked # 0.777 * * * [progress]: localizing error 0.786 * * * [progress]: generating rewritten candidates 0.786 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.790 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.794 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.799 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.804 * * * [progress]: generating series expansions 0.804 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.804 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.804 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.804 * [taylor]: Taking taylor expansion of (tan x) in x 0.804 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.804 * [taylor]: Taking taylor expansion of (sin x) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (cos x) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.805 * [taylor]: Taking taylor expansion of (tan x) in x 0.805 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.805 * [taylor]: Taking taylor expansion of (sin x) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (cos x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.819 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.819 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.819 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.819 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.819 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.820 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.820 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.820 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.827 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.827 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.827 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.827 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.828 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.828 * [taylor]: Taking taylor expansion of -1 in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.828 * [taylor]: Taking taylor expansion of -1 in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.828 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.828 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.828 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.829 * [taylor]: Taking taylor expansion of -1 in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.829 * [taylor]: Taking taylor expansion of -1 in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.836 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.837 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.837 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.837 * [taylor]: Taking taylor expansion of (tan x) in x 0.837 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.837 * [taylor]: Taking taylor expansion of (sin x) in x 0.837 * [taylor]: Taking taylor expansion of x 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 (tan x) 2) in x 0.838 * [taylor]: Taking taylor expansion of (tan x) in x 0.838 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.838 * [taylor]: Taking taylor expansion of (sin x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (cos x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.854 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.854 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.854 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.854 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.854 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.855 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.855 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.855 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.863 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.863 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.863 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.863 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.863 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.863 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.863 * [taylor]: Taking taylor expansion of -1 in x 0.863 * [taylor]: Taking taylor expansion of x 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 -1 in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.864 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.864 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.864 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.864 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.864 * [taylor]: Taking taylor expansion of -1 in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.864 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.864 * [taylor]: Taking taylor expansion of -1 in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.872 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.872 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.872 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.872 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.872 * [taylor]: Taking taylor expansion of (tan x) in x 0.872 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.872 * [taylor]: Taking taylor expansion of (sin x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (cos x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.873 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.873 * [taylor]: Taking taylor expansion of (tan x) in x 0.873 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.873 * [taylor]: Taking taylor expansion of (sin x) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (cos x) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.875 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.875 * [taylor]: Taking taylor expansion of (tan x) in x 0.875 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.875 * [taylor]: Taking taylor expansion of (sin x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (cos x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.876 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.876 * [taylor]: Taking taylor expansion of (tan x) in x 0.876 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.876 * [taylor]: Taking taylor expansion of (sin x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (cos x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.897 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.897 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.897 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.897 * [taylor]: Taking taylor expansion of 1.0 in x 0.897 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.897 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.897 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.897 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.898 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.898 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.898 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.898 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.900 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.900 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.900 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.900 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.901 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.901 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.901 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.901 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.929 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.929 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.929 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.929 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.929 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.929 * [taylor]: Taking taylor expansion of -1 in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.929 * [taylor]: Taking taylor expansion of -1 in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.930 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.930 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.930 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.930 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.930 * [taylor]: Taking taylor expansion of -1 in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.930 * [taylor]: Taking taylor expansion of -1 in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.932 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.932 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.932 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.932 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.932 * [taylor]: Taking taylor expansion of -1 in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.932 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.932 * [taylor]: Taking taylor expansion of -1 in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.933 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.933 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.933 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.933 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.933 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.933 * [taylor]: Taking taylor expansion of -1 in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.936 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.936 * [taylor]: Taking taylor expansion of -1 in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.964 * [approximate]: Taking taylor expansion of (/ (+ (pow (tan x) 2) 1.0) (- 1.0 (pow (tan x) 2))) in (x) around 0 0.964 * [taylor]: Taking taylor expansion of (/ (+ (pow (tan x) 2) 1.0) (- 1.0 (pow (tan x) 2))) in x 0.964 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.964 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.964 * [taylor]: Taking taylor expansion of (tan x) in x 0.964 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.964 * [taylor]: Taking taylor expansion of (sin x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (cos x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.965 * [taylor]: Taking taylor expansion of (tan x) in x 0.965 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.965 * [taylor]: Taking taylor expansion of (sin x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (cos x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (/ (+ (pow (tan x) 2) 1.0) (- 1.0 (pow (tan x) 2))) in x 0.967 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.967 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.967 * [taylor]: Taking taylor expansion of (tan x) in x 0.967 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.967 * [taylor]: Taking taylor expansion of (sin x) in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (cos x) in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.968 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.968 * [taylor]: Taking taylor expansion of (tan x) in x 0.968 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.968 * [taylor]: Taking taylor expansion of (sin x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (cos x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.989 * [approximate]: Taking taylor expansion of (/ (+ (pow (tan (/ 1 x)) 2) 1.0) (- 1.0 (pow (tan (/ 1 x)) 2))) in (x) around 0 0.989 * [taylor]: Taking taylor expansion of (/ (+ (pow (tan (/ 1 x)) 2) 1.0) (- 1.0 (pow (tan (/ 1 x)) 2))) in x 0.989 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.989 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.989 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.989 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.989 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.990 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.990 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.990 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.990 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (/ (+ (pow (tan (/ 1 x)) 2) 1.0) (- 1.0 (pow (tan (/ 1 x)) 2))) 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 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 x in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 0.993 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 0.993 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.993 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.993 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.993 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [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 x in x 1.022 * [approximate]: Taking taylor expansion of (/ (+ (pow (tan (/ -1 x)) 2) 1.0) (- 1.0 (pow (tan (/ -1 x)) 2))) in (x) around 0 1.022 * [taylor]: Taking taylor expansion of (/ (+ (pow (tan (/ -1 x)) 2) 1.0) (- 1.0 (pow (tan (/ -1 x)) 2))) in x 1.022 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.022 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.022 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.022 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.022 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.022 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.022 * [taylor]: Taking taylor expansion of -1 in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.023 * [taylor]: Taking taylor expansion of -1 in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.023 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.023 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.023 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.023 * [taylor]: Taking taylor expansion of -1 in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.024 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.024 * [taylor]: Taking taylor expansion of -1 in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (/ (+ (pow (tan (/ -1 x)) 2) 1.0) (- 1.0 (pow (tan (/ -1 x)) 2))) in x 1.026 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.026 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.026 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.026 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.026 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.026 * [taylor]: Taking taylor expansion of -1 in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.026 * [taylor]: Taking taylor expansion of -1 in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.027 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.027 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.027 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.027 * [taylor]: Taking taylor expansion of -1 in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.027 * [taylor]: Taking taylor expansion of -1 in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.057 * * * [progress]: simplifying candidates 1.058 * [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)) (- 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))))) (/ (/ (+ 1.0 (* (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))) (- (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)))) (/ 1 (- (+ 1.0 (* (tan x) (tan x))))) (/ 1 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))))) (- (+ 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))) (+ 1.0 (* (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)) (- (+ (* 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)) (+ (* 2.0 (pow x 2)) (+ (* 3.333333333333333 (pow x 4)) 1.0)) (/ (+ (/ (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 (sin x) 2) (pow (cos x) 2)))) 1.061 * * [simplify]: iteration 0 : 161 enodes (cost 281 ) 1.065 * * [simplify]: iteration 1 : 505 enodes (cost 278 ) 1.075 * * [simplify]: iteration 2 : 2166 enodes (cost 256 ) 1.131 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.133 * [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)) (- 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)))) (/ (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ 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 (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (* 1/4 (/ 4 (- (/ (* 1.0 1.0) 1) (/ (pow (tan x) 4) 1)))) (- (+ 1.0 (* (tan x) (tan x)))) (- (* (tan x) (tan x)) 1.0) (/ 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)))) (* (* (+ (* 1.0 (- 1.0 (* (tan x) (tan x)))) (pow (tan x) 4)) 1) (- 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)) (- (+ (* 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)) (+ (* 2.0 (pow x 2)) (+ (* 3.333333333333333 (pow x 4)) 1.0)) (/ (+ (/ (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 (sin x) 2) (pow (cos x) 2)))) 1.133 * * * [progress]: adding candidates to table 1.219 * * [progress]: iteration 3 / 4 1.219 * * * [progress]: picking best candidate 1.235 * * * * [pick]: Picked # 1.235 * * * [progress]: localizing error 1.247 * * * [progress]: generating rewritten candidates 1.247 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.256 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.261 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 2) 1.264 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 1.270 * * * [progress]: generating series expansions 1.270 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.270 * [approximate]: Taking taylor expansion of (pow (tan x) 4) in (x) around 0 1.270 * [taylor]: Taking taylor expansion of (pow (tan x) 4) in x 1.270 * [taylor]: Taking taylor expansion of (tan x) in x 1.270 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.270 * [taylor]: Taking taylor expansion of (sin x) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (cos x) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of (pow (tan x) 4) in x 1.271 * [taylor]: Taking taylor expansion of (tan x) in x 1.272 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.272 * [taylor]: Taking taylor expansion of (sin x) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (cos x) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.288 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 4) in (x) around 0 1.288 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 4) in x 1.288 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.288 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.288 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 4) in x 1.289 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.289 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.289 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.306 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 4) in (x) around 0 1.306 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 4) in x 1.306 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.306 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.306 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.306 * [taylor]: Taking taylor expansion of -1 in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.307 * [taylor]: Taking taylor expansion of -1 in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 4) in x 1.307 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.307 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.307 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.307 * [taylor]: Taking taylor expansion of -1 in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.308 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.308 * [taylor]: Taking taylor expansion of -1 in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.321 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.322 * [approximate]: Taking taylor expansion of (pow (- 1.0 (pow (tan x) 2)) 2) in (x) around 0 1.322 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow (tan x) 2)) 2) in x 1.322 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.322 * [taylor]: Taking taylor expansion of 1.0 in x 1.322 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.322 * [taylor]: Taking taylor expansion of (tan x) in x 1.322 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.322 * [taylor]: Taking taylor expansion of (sin x) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.322 * [taylor]: Taking taylor expansion of (cos x) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow (tan x) 2)) 2) in x 1.323 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.323 * [taylor]: Taking taylor expansion of (tan x) in x 1.323 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.323 * [taylor]: Taking taylor expansion of (sin x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of (cos x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.338 * [approximate]: Taking taylor expansion of (pow (- 1.0 (pow (tan (/ 1 x)) 2)) 2) in (x) around 0 1.338 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow (tan (/ 1 x)) 2)) 2) in x 1.338 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.338 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.338 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.339 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow (tan (/ 1 x)) 2)) 2) in x 1.340 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.340 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.340 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.340 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.340 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.358 * [approximate]: Taking taylor expansion of (pow (- 1.0 (pow (tan (/ -1 x)) 2)) 2) in (x) around 0 1.358 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow (tan (/ -1 x)) 2)) 2) in x 1.358 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.358 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.358 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.358 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.358 * [taylor]: Taking taylor expansion of -1 in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.358 * [taylor]: Taking taylor expansion of -1 in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.359 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow (tan (/ -1 x)) 2)) 2) in x 1.359 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.359 * [taylor]: Taking taylor expansion of 1.0 in x 1.360 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.360 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.360 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.360 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.360 * [taylor]: Taking taylor expansion of -1 in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.360 * [taylor]: Taking taylor expansion of -1 in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.377 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 2) 1.378 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.378 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.378 * [taylor]: Taking taylor expansion of (tan x) in x 1.378 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.378 * [taylor]: Taking taylor expansion of (sin x) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.378 * [taylor]: Taking taylor expansion of (cos x) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.378 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.379 * [taylor]: Taking taylor expansion of (tan x) in x 1.379 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.379 * [taylor]: Taking taylor expansion of (sin x) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of (cos x) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.392 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.392 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.392 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.392 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.392 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.393 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.393 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.393 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.394 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.404 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.404 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.404 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.404 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.404 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.404 * [taylor]: Taking taylor expansion of -1 in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.404 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.404 * [taylor]: Taking taylor expansion of -1 in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.405 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.405 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.405 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.405 * [taylor]: Taking taylor expansion of -1 in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.405 * [taylor]: Taking taylor expansion of -1 in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.412 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 1.413 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.413 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.413 * [taylor]: Taking taylor expansion of (tan x) in x 1.413 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.413 * [taylor]: Taking taylor expansion of (sin x) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (cos x) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.414 * [taylor]: Taking taylor expansion of (tan x) in x 1.414 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.414 * [taylor]: Taking taylor expansion of (sin x) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of (cos x) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.427 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.427 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.427 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.427 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.427 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.428 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.428 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.428 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.428 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.428 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.436 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.436 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.436 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.436 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.436 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.436 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.436 * [taylor]: Taking taylor expansion of -1 in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.436 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.436 * [taylor]: Taking taylor expansion of -1 in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.437 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.437 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.437 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.437 * [taylor]: Taking taylor expansion of -1 in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.437 * [taylor]: Taking taylor expansion of -1 in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.445 * * * [progress]: simplifying candidates 1.446 * [simplify]: Simplifying using # : (+ 2 2) (* (tan x) (tan x)) (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* (sin x) (sin x)) (* (tan x) (sin x))) (* (* (cos x) (cos x)) (cos x)) (* (* (sin x) (sin x)) (* (sin x) (tan x))) (* (* (cos x) (cos x)) (cos x)) (* (* (tan x) (sin x)) (* (sin x) (sin x))) (* (cos x) (* (cos x) (cos x))) (* (* (tan x) (sin x)) (* (tan x) (sin x))) (* (cos x) (cos x)) (* (* (tan x) (sin x)) (* (sin x) (tan x))) (* (cos x) (cos x)) (* (* (sin x) (tan x)) (* (sin x) (sin x))) (* (cos x) (* (cos x) (cos x))) (* (* (sin x) (tan x)) (* (tan x) (sin x))) (* (cos x) (cos x)) (* (* (sin x) (tan x)) (* (sin x) (tan x))) (* (cos x) (cos x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* 2 2) (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x)) (* (tan x) (* (tan x) (tan x))) (* (tan x) (* (tan x) (tan x))) (* (* (tan x) (tan x)) (* (sin x) (sin x))) (* (* (tan x) (tan x)) (* (tan x) (sin x))) (* (* (tan x) (tan x)) (* (sin x) (tan x))) (* (* (sin x) (sin x)) (* (tan x) (tan x))) (* (* (tan x) (sin x)) (* (tan x) (tan x))) (* (* (sin x) (tan x)) (* (tan x) (tan x))) (* (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (- (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))))) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 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 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)))) (- (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 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))) 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 (- 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))) (- (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))))) (* (- (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)))) (* (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)) (+ (* 6/5 (pow x 8)) (+ (* 4/3 (pow x 6)) (pow x 4))) (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 4) (pow (cos x) 4)) (- 1.0 (+ (* 2.0 (pow x 2)) (* 0.33333333333333326 (pow x 4)))) (pow (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (pow (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 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) (+ (* 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)) 1.450 * * [simplify]: iteration 0 : 249 enodes (cost 492 ) 1.455 * * [simplify]: iteration 1 : 766 enodes (cost 482 ) 1.469 * * [simplify]: iteration 2 : 2817 enodes (cost 473 ) 1.527 * * [simplify]: iteration 3 : 5002 enodes (cost 450 ) 1.530 * [simplify]: Simplified to: 4 (pow (tan x) 2) (pow (sin x) 4) (pow (cos x) 4) (* (pow (sin x) 3) (tan x)) (pow (cos x) 3) (* (pow (sin x) 3) (tan x)) (pow (cos x) 3) (* (pow (sin x) 3) (tan x)) (pow (cos x) 3) (* (pow (sin x) 2) (pow (tan x) 2)) (pow (cos x) 2) (* (pow (sin x) 2) (pow (tan x) 2)) (pow (cos x) 2) (* (pow (sin x) 3) (tan x)) (pow (cos x) 3) (* (pow (sin x) 2) (pow (tan x) 2)) (pow (cos x) 2) (* (pow (sin x) 2) (pow (tan x) 2)) (pow (cos x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) (pow (tan x) 2) 4 (pow (tan x) 3) (pow (tan x) 3) (pow (tan x) 3) (pow (tan x) 3) (* (pow (sin x) 2) (pow (tan x) 2)) (* (sin x) (pow (tan x) 3)) (* (sin x) (pow (tan x) 3)) (* (pow (sin x) 2) (pow (tan x) 2)) (* (sin x) (pow (tan x) 3)) (* (sin x) (pow (tan x) 3)) (* (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (+ (* (+ (* 1.0 (+ 1.0 (* (tan x) (tan x)))) (pow (tan x) 4)) (* 1.0 (+ 1.0 (* (tan x) (tan x))))) (* (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (pow (tan x) 4))) (* (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (+ (* (* 1.0 (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (+ (pow (tan x) 6) (* (pow (tan x) 4) 1.0))) (* (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (+ (* (* 1.0 (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (+ (pow (tan x) 6) (* (pow (tan x) 4) 1.0))) (* (* (+ (* 1.0 1.0) (- (* (pow (tan x) 3) (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) (pow (tan x) 4)) (* (- 1.0 (* (tan x) (tan x))) 1.0) (+ (* (- (* (tan x) (tan x))) 1.0) (pow (tan x) 4)) (* (- 1.0 (* (tan x) (tan x))) 1.0) (+ (* (- (* (tan x) (tan x))) 1.0) (pow (tan x) 4)) (* (- 1.0 (* (tan x) (tan x))) 1.0) (+ (* (- (* (tan x) (tan x))) 1.0) (pow (tan x) 4)) (* (- 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))) (- (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))))) (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)) (+ (* 6/5 (pow x 8)) (+ (* 4/3 (pow x 6)) (pow x 4))) (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 4) (pow (cos x) 4)) (- 1.0 (+ (* 2.0 (pow x 2)) (* 0.33333333333333326 (pow x 4)))) (pow (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 2) (pow (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 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) (+ (* 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)) 1.530 * * * [progress]: adding candidates to table 1.637 * * [progress]: iteration 4 / 4 1.637 * * * [progress]: picking best candidate 1.658 * * * * [pick]: Picked # 1.658 * * * [progress]: localizing error 1.675 * * * [progress]: generating rewritten candidates 1.675 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 2) 1.685 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.694 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 2) 1.697 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2 2) 1.704 * * * [progress]: generating series expansions 1.704 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 2) 1.704 * [approximate]: Taking taylor expansion of (pow (tan x) 4) in (x) around 0 1.704 * [taylor]: Taking taylor expansion of (pow (tan x) 4) in x 1.704 * [taylor]: Taking taylor expansion of (tan x) in x 1.704 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.704 * [taylor]: Taking taylor expansion of (sin x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (cos x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (pow (tan x) 4) in x 1.705 * [taylor]: Taking taylor expansion of (tan x) in x 1.705 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.705 * [taylor]: Taking taylor expansion of (sin x) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (cos x) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.721 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 4) in (x) around 0 1.721 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 4) in x 1.721 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.721 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.721 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.721 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 4) in x 1.722 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.722 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.722 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.736 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 4) in (x) around 0 1.736 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 4) in x 1.736 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.736 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.736 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.736 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.736 * [taylor]: Taking taylor expansion of -1 in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.736 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.736 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.736 * [taylor]: Taking taylor expansion of -1 in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 4) in x 1.737 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.737 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.737 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.737 * [taylor]: Taking taylor expansion of -1 in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.737 * [taylor]: Taking taylor expansion of -1 in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.751 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.751 * [approximate]: Taking taylor expansion of (pow (tan x) 4) in (x) around 0 1.751 * [taylor]: Taking taylor expansion of (pow (tan x) 4) in x 1.751 * [taylor]: Taking taylor expansion of (tan x) in x 1.751 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.751 * [taylor]: Taking taylor expansion of (sin x) in x 1.751 * [taylor]: Taking taylor expansion of x in x 1.751 * [taylor]: Taking taylor expansion of (cos x) in x 1.751 * [taylor]: Taking taylor expansion of x in x 1.752 * [taylor]: Taking taylor expansion of (pow (tan x) 4) in x 1.752 * [taylor]: Taking taylor expansion of (tan x) in x 1.752 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.752 * [taylor]: Taking taylor expansion of (sin x) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.752 * [taylor]: Taking taylor expansion of (cos x) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.771 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 4) in (x) around 0 1.771 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 4) in x 1.771 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.771 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.771 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.771 * [taylor]: Taking taylor expansion of x in x 1.772 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.772 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 4) in x 1.772 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.772 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.772 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.773 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.773 * [taylor]: Taking taylor expansion of x in x 1.786 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 4) in (x) around 0 1.786 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 4) in x 1.786 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.787 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.787 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.787 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.787 * [taylor]: Taking taylor expansion of -1 in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.787 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.787 * [taylor]: Taking taylor expansion of -1 in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 4) in x 1.787 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.788 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.788 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.788 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.788 * [taylor]: Taking taylor expansion of -1 in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.788 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.788 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.788 * [taylor]: Taking taylor expansion of -1 in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.801 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 2) 1.801 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.801 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.801 * [taylor]: Taking taylor expansion of (tan x) in x 1.801 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.802 * [taylor]: Taking taylor expansion of (sin x) in x 1.802 * [taylor]: Taking taylor expansion of x in x 1.802 * [taylor]: Taking taylor expansion of (cos x) in x 1.802 * [taylor]: Taking taylor expansion of x in x 1.802 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.802 * [taylor]: Taking taylor expansion of (tan x) in x 1.802 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.802 * [taylor]: Taking taylor expansion of (sin x) in x 1.802 * [taylor]: Taking taylor expansion of x in x 1.802 * [taylor]: Taking taylor expansion of (cos x) in x 1.802 * [taylor]: Taking taylor expansion of x in x 1.816 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.816 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.816 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.816 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.816 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.817 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.817 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.817 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.818 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.826 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.826 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.826 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.826 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.826 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.826 * [taylor]: Taking taylor expansion of -1 in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.826 * [taylor]: Taking taylor expansion of -1 in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.827 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.827 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.827 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.827 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.827 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.827 * [taylor]: Taking taylor expansion of -1 in x 1.827 * [taylor]: Taking taylor expansion of x in x 1.827 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.827 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.827 * [taylor]: Taking taylor expansion of -1 in x 1.827 * [taylor]: Taking taylor expansion of x in x 1.835 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2 2) 1.835 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.835 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.835 * [taylor]: Taking taylor expansion of (tan x) in x 1.835 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.835 * [taylor]: Taking taylor expansion of (sin x) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.835 * [taylor]: Taking taylor expansion of (cos x) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.836 * [taylor]: Taking taylor expansion of (tan x) in x 1.836 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.836 * [taylor]: Taking taylor expansion of (sin x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of (cos x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.849 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.850 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.850 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.850 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.850 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.850 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.853 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.853 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.853 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.854 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.862 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.862 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.862 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.862 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.862 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.862 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.862 * [taylor]: Taking taylor expansion of -1 in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.862 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.862 * [taylor]: Taking taylor expansion of -1 in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.863 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.863 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.863 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.863 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.863 * [taylor]: Taking taylor expansion of -1 in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.863 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.863 * [taylor]: Taking taylor expansion of -1 in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.871 * * * [progress]: simplifying candidates 1.872 * [simplify]: Simplifying using # : (+ 2 2) (* (tan x) (tan x)) (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* (sin x) (sin x)) (* (tan x) (sin x))) (* (* (cos x) (cos x)) (cos x)) (* (* (sin x) (sin x)) (* (sin x) (tan x))) (* (* (cos x) (cos x)) (cos x)) (* (* (tan x) (sin x)) (* (sin x) (sin x))) (* (cos x) (* (cos x) (cos x))) (* (* (tan x) (sin x)) (* (tan x) (sin x))) (* (cos x) (cos x)) (* (* (tan x) (sin x)) (* (sin x) (tan x))) (* (cos x) (cos x)) (* (* (sin x) (tan x)) (* (sin x) (sin x))) (* (cos x) (* (cos x) (cos x))) (* (* (sin x) (tan x)) (* (tan x) (sin x))) (* (cos x) (cos x)) (* (* (sin x) (tan x)) (* (sin x) (tan x))) (* (cos x) (cos x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* 2 2) (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x)) (* (tan x) (* (tan x) (tan x))) (* (tan x) (* (tan x) (tan x))) (* (* (tan x) (tan x)) (* (sin x) (sin x))) (* (* (tan x) (tan x)) (* (tan x) (sin x))) (* (* (tan x) (tan x)) (* (sin x) (tan x))) (* (* (sin x) (sin x)) (* (tan x) (tan x))) (* (* (tan x) (sin x)) (* (tan x) (tan x))) (* (* (sin x) (tan x)) (* (tan x) (tan x))) (+ 2 2) (* (tan x) (tan x)) (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* (sin x) (sin x)) (* (tan x) (sin x))) (* (* (cos x) (cos x)) (cos x)) (* (* (sin x) (sin x)) (* (sin x) (tan x))) (* (* (cos x) (cos x)) (cos x)) (* (* (tan x) (sin x)) (* (sin x) (sin x))) (* (cos x) (* (cos x) (cos x))) (* (* (tan x) (sin x)) (* (tan x) (sin x))) (* (cos x) (cos x)) (* (* (tan x) (sin x)) (* (sin x) (tan x))) (* (cos x) (cos x)) (* (* (sin x) (tan x)) (* (sin x) (sin x))) (* (cos x) (* (cos x) (cos x))) (* (* (sin x) (tan x)) (* (tan x) (sin x))) (* (cos x) (cos x)) (* (* (sin x) (tan x)) (* (sin x) (tan x))) (* (cos x) (cos x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* 2 2) (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x)) (* (tan x) (* (tan x) (tan x))) (* (tan x) (* (tan x) (tan x))) (* (* (tan x) (tan x)) (* (sin x) (sin x))) (* (* (tan x) (tan x)) (* (tan x) (sin x))) (* (* (tan x) (tan x)) (* (sin x) (tan x))) (* (* (sin x) (sin x)) (* (tan x) (tan x))) (* (* (tan x) (sin x)) (* (tan x) (tan x))) (* (* (sin x) (tan x)) (* (tan x) (tan x))) (* (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)) (+ (* 6/5 (pow x 8)) (+ (* 4/3 (pow x 6)) (pow x 4))) (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 4) (pow (cos x) 4)) (+ (* 6/5 (pow x 8)) (+ (* 4/3 (pow x 6)) (pow x 4))) (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 4) (pow (cos x) 4)) (+ (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)) 1.876 * * [simplify]: iteration 0 : 145 enodes (cost 402 ) 1.879 * * [simplify]: iteration 1 : 380 enodes (cost 382 ) 1.885 * * [simplify]: iteration 2 : 1034 enodes (cost 382 ) 1.910 * * [simplify]: iteration 3 : 5001 enodes (cost 382 ) 1.913 * [simplify]: Simplified to: 4 (* (tan x) (tan x)) (pow (sin x) 4) (pow (cos x) 4) (* (pow (sin x) 3) (tan x)) (pow (cos x) 3) (* (pow (sin x) 3) (tan x)) (pow (cos x) 3) (* (pow (sin x) 3) (tan x)) (pow (cos x) 3) (* (* (tan x) (tan x)) (pow (sin x) 2)) (pow (cos x) 2) (* (* (tan x) (tan x)) (pow (sin x) 2)) (pow (cos x) 2) (* (pow (sin x) 3) (tan x)) (pow (cos x) 3) (* (* (tan x) (tan x)) (pow (sin x) 2)) (pow (cos x) 2) (* (* (tan x) (tan x)) (pow (sin x) 2)) (pow (cos x) 2) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) 4 (pow (tan x) 3) (pow (tan x) 3) (pow (tan x) 3) (pow (tan x) 3) (* (* (tan x) (tan x)) (pow (sin x) 2)) (* (sin x) (pow (tan x) 3)) (* (sin x) (pow (tan x) 3)) (* (* (tan x) (tan x)) (pow (sin x) 2)) (* (sin x) (pow (tan x) 3)) (* (sin x) (pow (tan x) 3)) 4 (* (tan x) (tan x)) (pow (sin x) 4) (pow (cos x) 4) (* (pow (sin x) 3) (tan x)) (pow (cos x) 3) (* (pow (sin x) 3) (tan x)) (pow (cos x) 3) (* (pow (sin x) 3) (tan x)) (pow (cos x) 3) (* (* (tan x) (tan x)) (pow (sin x) 2)) (pow (cos x) 2) (* (* (tan x) (tan x)) (pow (sin x) 2)) (pow (cos x) 2) (* (pow (sin x) 3) (tan x)) (pow (cos x) 3) (* (* (tan x) (tan x)) (pow (sin x) 2)) (pow (cos x) 2) (* (* (tan x) (tan x)) (pow (sin x) 2)) (pow (cos x) 2) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) (* (tan x) (tan x)) 4 (pow (tan x) 3) (pow (tan x) 3) (pow (tan x) 3) (pow (tan x) 3) (* (* (tan x) (tan x)) (pow (sin x) 2)) (* (sin x) (pow (tan x) 3)) (* (sin x) (pow (tan x) 3)) (* (* (tan x) (tan x)) (pow (sin x) 2)) (* (sin x) (pow (tan x) 3)) (* (sin x) (pow (tan x) 3)) (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)) (+ (* 6/5 (pow x 8)) (+ (* 4/3 (pow x 6)) (pow x 4))) (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 4) (pow (cos x) 4)) (+ (* 6/5 (pow x 8)) (+ (* 4/3 (pow x 6)) (pow x 4))) (/ (pow (sin x) 4) (pow (cos x) 4)) (/ (pow (sin x) 4) (pow (cos x) 4)) (+ (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)) 1.913 * * * [progress]: adding candidates to table 2.026 * [progress]: [Phase 3 of 3] Extracting. 2.027 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.031 * * * [regime-changes]: Trying 3 branch expressions: ((tan x) (* (tan x) (tan x)) x) 2.031 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # #) 2.069 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # # # # # #) 2.101 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # #) 2.120 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 2.150 * * * [regime]: Found split indices: #