0.841 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.290 * * * [progress]: [2/2] Setting up program. 0.293 * [progress]: [Phase 2 of 3] Improving. 0.295 * [simplify]: Simplifying using # : (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.299 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 0.300 * * [simplify]: iteration 1 : 21 enodes (cost 9 ) 0.302 * * [simplify]: iteration 2 : 26 enodes (cost 9 ) 0.303 * * [simplify]: iteration 3 : 34 enodes (cost 9 ) 0.304 * * [simplify]: iteration 4 : 37 enodes (cost 9 ) 0.306 * * [simplify]: iteration 5 : 37 enodes (cost 9 ) 0.306 * [simplify]: Simplified to: (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.308 * * [progress]: iteration 1 / 4 0.308 * * * [progress]: picking best candidate 0.310 * * * * [pick]: Picked # 0.310 * * * [progress]: localizing error 0.320 * * * [progress]: generating rewritten candidates 0.320 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.328 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.333 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.339 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.345 * * * [progress]: generating series expansions 0.345 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.350 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.351 * [taylor]: Taking taylor expansion of (tan x) in x 0.352 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.352 * [taylor]: Taking taylor expansion of (sin x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (cos x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.354 * [taylor]: Taking taylor expansion of (tan x) in x 0.354 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.354 * [taylor]: Taking taylor expansion of (sin x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (cos x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.385 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.385 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.385 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.385 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.387 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.387 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.387 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.395 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.395 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.395 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.395 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.395 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.396 * [taylor]: Taking taylor expansion of -1 in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.396 * [taylor]: Taking taylor expansion of -1 in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.397 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.397 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.397 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.397 * [taylor]: Taking taylor expansion of -1 in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.398 * [taylor]: Taking taylor expansion of -1 in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.406 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.406 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.406 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.406 * [taylor]: Taking taylor expansion of (tan x) in x 0.406 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.406 * [taylor]: Taking taylor expansion of (sin x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (cos x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.407 * [taylor]: Taking taylor expansion of (tan x) in x 0.407 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.407 * [taylor]: Taking taylor expansion of (sin x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (cos x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.420 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.420 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.420 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.420 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.420 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.421 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.421 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.421 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.429 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.429 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.429 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.429 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.429 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.429 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.429 * [taylor]: Taking taylor expansion of -1 in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.429 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.429 * [taylor]: Taking taylor expansion of -1 in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.430 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.430 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.430 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.430 * [taylor]: Taking taylor expansion of -1 in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.430 * [taylor]: Taking taylor expansion of -1 in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.438 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.438 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.438 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.438 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.438 * [taylor]: Taking taylor expansion of (tan x) in x 0.438 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.438 * [taylor]: Taking taylor expansion of (sin x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (cos x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.439 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.439 * [taylor]: Taking taylor expansion of (tan x) in x 0.439 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.439 * [taylor]: Taking taylor expansion of (sin x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (cos x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.441 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.441 * [taylor]: Taking taylor expansion of (tan x) in x 0.441 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.441 * [taylor]: Taking taylor expansion of (sin x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (cos x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.442 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.442 * [taylor]: Taking taylor expansion of (tan x) in x 0.442 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.442 * [taylor]: Taking taylor expansion of (sin x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (cos x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.464 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.464 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.464 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.465 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.465 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.465 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.465 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.465 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.466 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.468 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.468 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.468 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.468 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.469 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.469 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.470 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.470 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.503 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.503 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.503 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.503 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.503 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.503 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.503 * [taylor]: Taking taylor expansion of -1 in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.504 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.504 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.504 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.504 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.505 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.506 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.507 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.507 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.507 * [taylor]: Taking taylor expansion of -1 in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.507 * [taylor]: Taking taylor expansion of -1 in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.508 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.508 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.508 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.508 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.536 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0 0.536 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.536 * [taylor]: Taking taylor expansion of (tan x) in x 0.536 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.536 * [taylor]: Taking taylor expansion of (sin x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (cos x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.537 * [taylor]: Taking taylor expansion of (tan x) in x 0.537 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.537 * [taylor]: Taking taylor expansion of (sin x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (cos x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.544 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.545 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.545 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.545 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.545 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.546 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.546 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.556 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.556 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.557 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.557 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.557 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.557 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.557 * [taylor]: Taking taylor expansion of 1.0 in x 0.557 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.557 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.558 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.558 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.558 * [taylor]: Taking taylor expansion of -1 in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.558 * [taylor]: Taking taylor expansion of -1 in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.569 * * * [progress]: simplifying candidates 0.571 * [simplify]: Simplifying using # : (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (- (log (- 1.0 (* (tan x) (tan x)))) (log (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (* (* (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (- (- 1.0 (* (tan x) (tan x)))) (- (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 1) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) 1) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) 1) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (* (+ 1.0 (* (tan x) (tan x))) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x)))))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (exp 1.0) (exp (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x))))) (- (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (- (* (tan x) (tan x))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 0.580 * * [simplify]: iteration 0 : 314 enodes (cost 909 ) 0.586 * * [simplify]: iteration 1 : 1157 enodes (cost 838 ) 0.611 * * [simplify]: iteration 2 : 5001 enodes (cost 824 ) 0.615 * [simplify]: Simplified to: 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (- (- 1.0 (* (tan x) (tan x)))) (- (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (/ (* 1.0 1.0) 1) (/ (pow (tan x) 4) 1))) (* (+ (* (* (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)))) (exp (- 1.0 (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (pow (- 1.0 (* (tan x) (tan x))) 3) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (- (* (tan x) (tan x))) (- (/ (* 1.0 1.0) 1) (/ (pow (tan x) 4) 1)) (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (- (* (tan x) (tan x))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 0.616 * * * [progress]: adding candidates to table 0.846 * * [progress]: iteration 2 / 4 0.846 * * * [progress]: picking best candidate 0.867 * * * * [pick]: Picked # 0.867 * * * [progress]: localizing error 0.880 * * * [progress]: generating rewritten candidates 0.880 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.883 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.886 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.888 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.892 * * * [progress]: generating series expansions 0.892 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.892 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 0.892 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.892 * [taylor]: Taking taylor expansion of (sin x) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.893 * [taylor]: Taking taylor expansion of (sin x) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.901 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in 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 (pow (sin (/ 1 x)) 2) in 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 0.906 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 0.906 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 0.906 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.906 * [taylor]: Taking taylor expansion of -1 in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 0.906 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.906 * [taylor]: Taking taylor expansion of -1 in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.916 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.916 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 0.916 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.916 * [taylor]: Taking taylor expansion of (sin x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.916 * [taylor]: Taking taylor expansion of (sin x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.924 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 0.924 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 0.924 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 0.924 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.929 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 0.929 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in 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 (pow (sin (/ -1 x)) 2) in x 0.929 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.930 * [taylor]: Taking taylor expansion of -1 in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.935 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.935 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 0.935 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.935 * [taylor]: Taking taylor expansion of (cos x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.935 * [taylor]: Taking taylor expansion of (cos x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.941 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 0.941 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.941 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.941 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.946 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 0.946 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.946 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.946 * [taylor]: Taking taylor expansion of -1 in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.947 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.947 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.947 * [taylor]: Taking taylor expansion of -1 in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.951 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 0.951 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 0.951 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.951 * [taylor]: Taking taylor expansion of (cos x) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.952 * [taylor]: Taking taylor expansion of (cos x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.957 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 0.957 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.957 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.958 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.963 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 0.963 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.963 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.963 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.968 * * * [progress]: simplifying candidates 0.969 * [simplify]: Simplifying using # : (* (log (sin x)) 2) (* (log (sin x)) 2) (* 1 2) (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (pow (sin x) 1) (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) (pow (cbrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow 1 2) (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (* (* (pow (sin x) 2) (pow (sin x) 2)) (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (* (log (sin x)) 2) (* (log (sin x)) 2) (* 1 2) (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (pow (sin x) 1) (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) (pow (cbrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow 1 2) (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (* (* (pow (sin x) 2) (pow (sin x) 2)) (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (* (log (cos x)) 2) (* (log (cos x)) 2) (* 1 2) (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) (pow (cbrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow 1 2) (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (* (* (pow (cos x) 2) (pow (cos x) 2)) (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (* (log (cos x)) 2) (* (log (cos x)) 2) (* 1 2) (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) (pow (cbrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow 1 2) (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (* (* (pow (cos x) 2) (pow (cos x) 2)) (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) 0.973 * * [simplify]: iteration 0 : 141 enodes (cost 284 ) 0.976 * * [simplify]: iteration 1 : 469 enodes (cost 240 ) 0.985 * * [simplify]: iteration 2 : 1590 enodes (cost 240 ) 1.028 * * [simplify]: iteration 3 : 5001 enodes (cost 236 ) 1.029 * [simplify]: Simplified to: (log (pow (sin x) 2)) (log (pow (sin x) 2)) 2 (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (sin x) (pow (cbrt (sin x)) 4) (pow (cbrt (sin x)) 2) (sin x) (sin x) 1 (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (pow (sin x) 6) (fabs (sin x)) (fabs (sin x)) (sin x) (sin x) (log (pow (sin x) 2)) (log (pow (sin x) 2)) 2 (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (sin x) (pow (cbrt (sin x)) 4) (pow (cbrt (sin x)) 2) (sin x) (sin x) 1 (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (pow (sin x) 6) (fabs (sin x)) (fabs (sin x)) (sin x) (sin x) (log (pow (cos x) 2)) (log (pow (cos x) 2)) 2 (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (cos x) (pow (cbrt (cos x)) 4) (pow (cbrt (cos x)) 2) (cos x) (cos x) 1 (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (cos x) (cos x) (log (pow (cos x) 2)) (log (pow (cos x) 2)) 2 (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (cos x) (pow (cbrt (cos x)) 4) (pow (cbrt (cos x)) 2) (cos x) (cos x) 1 (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (cos x) (cos x) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) 1.030 * * * [progress]: adding candidates to table 1.235 * * [progress]: iteration 3 / 4 1.235 * * * [progress]: picking best candidate 1.254 * * * * [pick]: Picked # 1.254 * * * [progress]: localizing error 1.271 * * * [progress]: generating rewritten candidates 1.271 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.277 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 1.282 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1) 1.288 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.296 * * * [progress]: generating series expansions 1.296 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.296 * [approximate]: Taking taylor expansion of (pow (pow (tan x) 2) 3) in (x) around 0 1.296 * [taylor]: Taking taylor expansion of (pow (pow (tan x) 2) 3) in x 1.296 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.296 * [taylor]: Taking taylor expansion of (tan x) in x 1.297 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.297 * [taylor]: Taking taylor expansion of (sin x) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.297 * [taylor]: Taking taylor expansion of (cos x) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of (pow (pow (tan x) 2) 3) in x 1.298 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.298 * [taylor]: Taking taylor expansion of (tan x) in x 1.298 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.298 * [taylor]: Taking taylor expansion of (sin x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of (cos x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.322 * [approximate]: Taking taylor expansion of (pow (pow (tan (/ 1 x)) 2) 3) in (x) around 0 1.322 * [taylor]: Taking taylor expansion of (pow (pow (tan (/ 1 x)) 2) 3) in x 1.322 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.322 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.322 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.322 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of (pow (pow (tan (/ 1 x)) 2) 3) in x 1.323 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.323 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.323 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.323 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.344 * [approximate]: Taking taylor expansion of (pow (pow (tan (/ -1 x)) 2) 3) in (x) around 0 1.344 * [taylor]: Taking taylor expansion of (pow (pow (tan (/ -1 x)) 2) 3) in x 1.344 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.344 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.344 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.344 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.344 * [taylor]: Taking taylor expansion of -1 in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.344 * [taylor]: Taking taylor expansion of -1 in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of (pow (pow (tan (/ -1 x)) 2) 3) in x 1.345 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.345 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.345 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.345 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.345 * [taylor]: Taking taylor expansion of -1 in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.345 * [taylor]: Taking taylor expansion of -1 in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.365 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 1.365 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.365 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.365 * [taylor]: Taking taylor expansion of (tan x) in x 1.365 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.365 * [taylor]: Taking taylor expansion of (sin x) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of (cos x) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.366 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.366 * [taylor]: Taking taylor expansion of (tan x) in x 1.366 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.366 * [taylor]: Taking taylor expansion of (sin x) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [taylor]: Taking taylor expansion of (cos x) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.379 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.380 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.380 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.380 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.380 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.380 * [taylor]: Taking taylor expansion of x in x 1.380 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.380 * [taylor]: Taking taylor expansion of x in x 1.381 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.381 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.381 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.381 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.381 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.389 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.389 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.389 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.389 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.389 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.389 * [taylor]: Taking taylor expansion of -1 in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.389 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.389 * [taylor]: Taking taylor expansion of -1 in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.390 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.390 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.390 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.390 * [taylor]: Taking taylor expansion of -1 in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.390 * [taylor]: Taking taylor expansion of -1 in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.397 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1) 1.397 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.397 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.397 * [taylor]: Taking taylor expansion of (tan x) in x 1.398 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.398 * [taylor]: Taking taylor expansion of (sin x) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.398 * [taylor]: Taking taylor expansion of (cos x) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.398 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.398 * [taylor]: Taking taylor expansion of (tan x) in x 1.398 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.398 * [taylor]: Taking taylor expansion of (sin x) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.398 * [taylor]: Taking taylor expansion of (cos x) in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.416 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.416 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.416 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.416 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.416 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.417 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.417 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.417 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.425 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.425 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.425 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.425 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.425 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.425 * [taylor]: Taking taylor expansion of -1 in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.425 * [taylor]: Taking taylor expansion of -1 in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.426 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.426 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.426 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.426 * [taylor]: Taking taylor expansion of -1 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.426 * [taylor]: Taking taylor expansion of -1 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.434 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.434 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.434 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.434 * [taylor]: Taking taylor expansion of (tan x) in x 1.434 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.434 * [taylor]: Taking taylor expansion of (sin x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (cos x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.435 * [taylor]: Taking taylor expansion of (tan x) in x 1.435 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.435 * [taylor]: Taking taylor expansion of (sin x) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of (cos x) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.448 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.448 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.448 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.449 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.449 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.449 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.450 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.450 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.458 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.458 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.458 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.458 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.458 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.458 * [taylor]: Taking taylor expansion of -1 in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.458 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.458 * [taylor]: Taking taylor expansion of -1 in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.459 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.459 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.459 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.459 * [taylor]: Taking taylor expansion of -1 in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.459 * [taylor]: Taking taylor expansion of -1 in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.467 * * * [progress]: simplifying candidates 1.468 * [simplify]: Simplifying using # : (* (+ (log (tan x)) (log (tan x))) 3) (* (log (* (tan x) (tan x))) 3) (* (log (* (tan x) (tan x))) 3) (* (+ 1 1) 3) (* 1 3) (* 2 3) (* (+ 1 1) 3) (* 1 3) (* (* 2 1) 3) (pow (* (tan x) (tan x)) (* (cbrt 3) (cbrt 3))) (pow (* (tan x) (tan x)) (sqrt 3)) (pow (* (tan x) (tan x)) 1) (pow (tan x) 3) (pow (tan x) 3) (* (* (tan x) (tan x)) (* (tan x) (tan x))) (log (pow (* (tan x) (tan x)) 3)) (exp (pow (* (tan x) (tan x)) 3)) (* (cbrt (pow (* (tan x) (tan x)) 3)) (cbrt (pow (* (tan x) (tan x)) 3))) (cbrt (pow (* (tan x) (tan x)) 3)) (* (* (pow (* (tan x) (tan x)) 3) (pow (* (tan x) (tan x)) 3)) (pow (* (tan x) (tan x)) 3)) (pow (tan x) 3) (pow (tan x) 3) (pow (* (sin x) (sin x)) 3) (pow (* (cos x) (cos x)) 3) (pow (* (tan x) (sin x)) 3) (pow (cos x) 3) (pow (* (sin x) (tan x)) 3) (pow (cos x) 3) (* (* (tan x) (tan x)) (* (tan x) (tan x))) (sqrt (pow (* (tan x) (tan x)) 3)) (sqrt (pow (* (tan x) (tan x)) 3)) (pow (* (tan x) (tan x)) (/ 3 2)) (pow (* (tan x) (tan x)) (/ 3 2)) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ (* 2 (pow x 8)) (+ (pow x 6) (* 37/15 (pow x 10)))) (/ (pow (sin x) 6) (pow (cos x) 6)) (/ (pow (sin x) 6) (pow (cos x) 6)) (+ (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)) (+ (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)) 1.473 * * [simplify]: iteration 0 : 211 enodes (cost 452 ) 1.477 * * [simplify]: iteration 1 : 971 enodes (cost 401 ) 1.505 * * [simplify]: iteration 2 : 5001 enodes (cost 384 ) 1.507 * [simplify]: Simplified to: (* 6 (log (tan x))) (* 6 (log (tan x))) (* 6 (log (tan x))) 6 3 6 6 3 6 (pow (* (tan x) (tan x)) (* (cbrt 3) (cbrt 3))) (pow (* (tan x) (tan x)) (sqrt 3)) (* (tan x) (tan x)) (pow (tan x) 3) (pow (tan x) 3) (pow (tan x) 4) (* 6 (log (tan x))) (exp (pow (* (tan x) (tan x)) 3)) (pow (tan x) 4) (* (tan x) (tan x)) (pow (pow (* (tan x) (tan x)) 3) 3) (pow (tan x) 3) (pow (tan x) 3) (pow (sin x) 6) (pow (cos x) 6) (pow (* (sin x) (tan x)) 3) (pow (cos x) 3) (pow (* (sin x) (tan x)) 3) (pow (cos x) 3) (pow (tan x) 4) (fabs (pow (tan x) 3)) (fabs (pow (tan x) 3)) (pow (fabs (tan x)) 3) (pow (fabs (tan x)) 3) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (+ (* 2 (pow x 8)) (+ (pow x 6) (* 37/15 (pow x 10)))) (/ (pow (sin x) 6) (pow (cos x) 6)) (/ (pow (sin x) 6) (pow (cos x) 6)) (+ (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)) (+ (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)) 1.508 * * * [progress]: adding candidates to table 1.793 * * [progress]: iteration 4 / 4 1.793 * * * [progress]: picking best candidate 1.811 * * * * [pick]: Picked # 1.812 * * * [progress]: localizing error 1.823 * * * [progress]: generating rewritten candidates 1.823 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.831 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 1.840 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 1.846 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.856 * * * [progress]: generating series expansions 1.856 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.856 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 1.856 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 1.856 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.856 * [taylor]: Taking taylor expansion of 1.0 in x 1.856 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.857 * [taylor]: Taking taylor expansion of (tan x) in x 1.857 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.857 * [taylor]: Taking taylor expansion of (sin x) in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [taylor]: Taking taylor expansion of (cos x) in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.858 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.858 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.858 * [taylor]: Taking taylor expansion of (tan x) in x 1.858 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.858 * [taylor]: Taking taylor expansion of (sin x) in x 1.858 * [taylor]: Taking taylor expansion of x in x 1.858 * [taylor]: Taking taylor expansion of (cos x) in x 1.858 * [taylor]: Taking taylor expansion of x in x 1.859 * [taylor]: Taking taylor expansion of 1.0 in x 1.860 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 1.860 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.860 * [taylor]: Taking taylor expansion of 1.0 in x 1.860 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.860 * [taylor]: Taking taylor expansion of (tan x) in x 1.860 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.860 * [taylor]: Taking taylor expansion of (sin x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.860 * [taylor]: Taking taylor expansion of (cos x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.861 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.861 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.861 * [taylor]: Taking taylor expansion of (tan x) in x 1.861 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.861 * [taylor]: Taking taylor expansion of (sin x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [taylor]: Taking taylor expansion of (cos x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.883 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 1.883 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.883 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.883 * [taylor]: Taking taylor expansion of 1.0 in x 1.883 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.883 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.883 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.883 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.884 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.884 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.884 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.884 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.884 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.884 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.884 * [taylor]: Taking taylor expansion of 1.0 in x 1.886 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.886 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.886 * [taylor]: Taking taylor expansion of 1.0 in x 1.886 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.886 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.886 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.886 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.887 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.887 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.887 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.887 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.888 * [taylor]: Taking taylor expansion of 1.0 in x 1.916 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 1.916 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.916 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.916 * [taylor]: Taking taylor expansion of 1.0 in x 1.916 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.916 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.916 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.916 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.916 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.916 * [taylor]: Taking taylor expansion of -1 in x 1.916 * [taylor]: Taking taylor expansion of x in x 1.917 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.917 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.917 * [taylor]: Taking taylor expansion of -1 in x 1.917 * [taylor]: Taking taylor expansion of x in x 1.917 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.917 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.917 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.917 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.917 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.917 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.917 * [taylor]: Taking taylor expansion of -1 in x 1.917 * [taylor]: Taking taylor expansion of x in x 1.918 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.918 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.918 * [taylor]: Taking taylor expansion of -1 in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.918 * [taylor]: Taking taylor expansion of 1.0 in x 1.920 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.920 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.920 * [taylor]: Taking taylor expansion of 1.0 in x 1.920 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.920 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.920 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.920 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.920 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.920 * [taylor]: Taking taylor expansion of -1 in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.920 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.920 * [taylor]: Taking taylor expansion of -1 in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.921 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.921 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.921 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.921 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.921 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.921 * [taylor]: Taking taylor expansion of -1 in x 1.921 * [taylor]: Taking taylor expansion of x in x 1.921 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.921 * [taylor]: Taking taylor expansion of -1 in x 1.921 * [taylor]: Taking taylor expansion of x in x 1.922 * [taylor]: Taking taylor expansion of 1.0 in x 1.954 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 1.954 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.954 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.954 * [taylor]: Taking taylor expansion of (tan x) in x 1.954 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.954 * [taylor]: Taking taylor expansion of (sin x) in x 1.954 * [taylor]: Taking taylor expansion of x in x 1.955 * [taylor]: Taking taylor expansion of (cos x) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.955 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.955 * [taylor]: Taking taylor expansion of (tan x) in x 1.955 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.955 * [taylor]: Taking taylor expansion of (sin x) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of (cos x) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.969 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.969 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.969 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.969 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.969 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.970 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.970 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.970 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.978 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.978 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.978 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.978 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.978 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.978 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.978 * [taylor]: Taking taylor expansion of -1 in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.979 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.979 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.979 * [taylor]: Taking taylor expansion of -1 in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.979 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.979 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.979 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.979 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.979 * [taylor]: Taking taylor expansion of -1 in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.980 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.980 * [taylor]: Taking taylor expansion of -1 in x 1.980 * [taylor]: Taking taylor expansion of x in x 1.987 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.987 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.987 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.987 * [taylor]: Taking taylor expansion of (tan x) in x 1.987 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.987 * [taylor]: Taking taylor expansion of (sin x) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [taylor]: Taking taylor expansion of (cos x) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.988 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.988 * [taylor]: Taking taylor expansion of (tan x) in x 1.988 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.988 * [taylor]: Taking taylor expansion of (sin x) in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.988 * [taylor]: Taking taylor expansion of (cos x) in x 1.988 * [taylor]: Taking taylor expansion of x in x 2.001 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 2.001 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.001 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.001 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.001 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.002 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.002 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.002 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.003 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.011 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 2.011 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.011 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.011 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.011 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.011 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.011 * [taylor]: Taking taylor expansion of -1 in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.011 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.011 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.011 * [taylor]: Taking taylor expansion of -1 in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.012 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.012 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.012 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.012 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.012 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.012 * [taylor]: Taking taylor expansion of -1 in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.012 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.012 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.012 * [taylor]: Taking taylor expansion of -1 in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.020 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.020 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 2.020 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 2.020 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 2.020 * [taylor]: Taking taylor expansion of 1.0 in x 2.020 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.020 * [taylor]: Taking taylor expansion of (tan x) in x 2.020 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.020 * [taylor]: Taking taylor expansion of (sin x) in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.020 * [taylor]: Taking taylor expansion of (cos x) in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 2.021 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.021 * [taylor]: Taking taylor expansion of (tan x) in x 2.021 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.021 * [taylor]: Taking taylor expansion of (sin x) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (cos x) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of 1.0 in x 2.023 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 2.023 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 2.023 * [taylor]: Taking taylor expansion of 1.0 in x 2.023 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.023 * [taylor]: Taking taylor expansion of (tan x) in x 2.023 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.023 * [taylor]: Taking taylor expansion of (sin x) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [taylor]: Taking taylor expansion of (cos x) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 2.024 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.024 * [taylor]: Taking taylor expansion of (tan x) in x 2.024 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.024 * [taylor]: Taking taylor expansion of (sin x) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.024 * [taylor]: Taking taylor expansion of (cos x) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.029 * [taylor]: Taking taylor expansion of 1.0 in x 2.050 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 2.050 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 2.050 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 2.050 * [taylor]: Taking taylor expansion of 1.0 in x 2.050 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.050 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.050 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.050 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 2.051 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.051 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.051 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.051 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.052 * [taylor]: Taking taylor expansion of 1.0 in x 2.053 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 2.053 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 2.053 * [taylor]: Taking taylor expansion of 1.0 in x 2.053 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.053 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.053 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.053 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 2.054 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.054 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.054 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.054 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of 1.0 in x 2.083 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 2.083 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 2.083 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 2.083 * [taylor]: Taking taylor expansion of 1.0 in x 2.083 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.083 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.083 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.083 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.083 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.083 * [taylor]: Taking taylor expansion of -1 in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.084 * [taylor]: Taking taylor expansion of -1 in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 2.084 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.084 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.085 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.085 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.085 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.085 * [taylor]: Taking taylor expansion of -1 in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.085 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.085 * [taylor]: Taking taylor expansion of -1 in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.087 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 2.087 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 2.087 * [taylor]: Taking taylor expansion of 1.0 in x 2.087 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.087 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.087 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.087 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.087 * [taylor]: Taking taylor expansion of -1 in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.087 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.087 * [taylor]: Taking taylor expansion of -1 in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.088 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 2.088 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.088 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.088 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.088 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.088 * [taylor]: Taking taylor expansion of -1 in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.088 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.088 * [taylor]: Taking taylor expansion of -1 in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.089 * [taylor]: Taking taylor expansion of 1.0 in x 2.117 * * * [progress]: simplifying candidates 2.118 * [simplify]: Simplifying using # : (log (* (cbrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))))) (log (cbrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (sqrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (sqrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log 1) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (log (exp (/ 1.0 (+ 1.0 (* (tan x) (tan x)))))) (log (exp (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (log (exp (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1))) (log (exp (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1))) (log (exp (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ 1 1))) (log (exp (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (+ (sqrt 1.0) (tan x)) 1))) (log (exp 1)) (log (exp (- 1.0 (* (tan x) (tan x))))) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))))) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))))) (log (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (exp (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (* (cbrt (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (cbrt (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))))) (cbrt (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (* (* (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (sqrt (log (exp (/ (- 1.0 (* (tan x) (tan 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(/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 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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)) 2.166 * * * [progress]: adding candidates to table 2.481 * [progress]: [Phase 3 of 3] Extracting. 2.482 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.485 * * * [regime-changes]: Trying 3 branch expressions: ((tan x) (* (tan x) (tan x)) x) 2.485 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # #) 2.526 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # #) 2.557 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # # # # # #) 2.591 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # #) 2.617 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 2.647 * * * [regime]: Found split indices: #