0.873 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.291 * * * [progress]: [2/2] Setting up program. 0.295 * [progress]: [Phase 2 of 3] Improving. 0.297 * [simplify]: Simplifying using # : (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.302 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 0.304 * * [simplify]: iteration 1 : 21 enodes (cost 9 ) 0.305 * * [simplify]: iteration 2 : 26 enodes (cost 9 ) 0.306 * * [simplify]: iteration 3 : 34 enodes (cost 9 ) 0.308 * * [simplify]: iteration 4 : 37 enodes (cost 9 ) 0.309 * * [simplify]: iteration 5 : 37 enodes (cost 9 ) 0.310 * [simplify]: Simplified to: (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.311 * * [progress]: iteration 1 / 4 0.311 * * * [progress]: picking best candidate 0.313 * * * * [pick]: Picked # 0.313 * * * [progress]: localizing error 0.324 * * * [progress]: generating rewritten candidates 0.324 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.331 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.336 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.339 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.349 * * * [progress]: generating series expansions 0.349 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.353 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.354 * [taylor]: Taking taylor expansion of (tan x) in x 0.356 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.356 * [taylor]: Taking taylor expansion of (sin x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (cos x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.358 * [taylor]: Taking taylor expansion of (tan x) in x 0.358 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.358 * [taylor]: Taking taylor expansion of (sin x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (cos x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.391 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.391 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.391 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.391 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.393 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.393 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.393 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.401 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.401 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.401 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.401 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.401 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.401 * [taylor]: Taking taylor expansion of -1 in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.401 * [taylor]: Taking taylor expansion of -1 in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.402 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.402 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.402 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.402 * [taylor]: Taking taylor expansion of -1 in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.402 * [taylor]: Taking taylor expansion of -1 in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.410 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.410 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.410 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.410 * [taylor]: Taking taylor expansion of (tan x) in x 0.410 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.410 * [taylor]: Taking taylor expansion of (sin x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (cos x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.411 * [taylor]: Taking taylor expansion of (tan x) in x 0.411 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.411 * [taylor]: Taking taylor expansion of (sin x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (cos x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.424 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.424 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.424 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.424 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.424 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.425 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.425 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.425 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.432 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.432 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.432 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.432 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.433 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.433 * [taylor]: Taking taylor expansion of -1 in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.433 * [taylor]: Taking taylor expansion of -1 in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.433 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.433 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.433 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.433 * [taylor]: Taking taylor expansion of -1 in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.434 * [taylor]: Taking taylor expansion of -1 in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.441 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.441 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0 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 (- 1.0 (pow (tan x) 2)) in x 0.442 * [taylor]: Taking taylor expansion of 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)) 0.443 * [taylor]: Taking taylor expansion of (sin x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (cos x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.450 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.450 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.450 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.450 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.451 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.451 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.451 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.463 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 0.463 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.463 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.463 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.463 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.463 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.463 * [taylor]: Taking taylor expansion of -1 in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.463 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.463 * [taylor]: Taking taylor expansion of -1 in x 0.463 * [taylor]: Taking taylor expansion of x 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 0.464 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.464 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.464 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.464 * [taylor]: Taking taylor expansion of -1 in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [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 -1 in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.476 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.476 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.476 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.476 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.476 * [taylor]: Taking taylor expansion of (tan x) in x 0.476 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.476 * [taylor]: Taking taylor expansion of (sin x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (cos x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.477 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.477 * [taylor]: Taking taylor expansion of (tan x) in x 0.477 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.477 * [taylor]: Taking taylor expansion of (sin x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (cos x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.479 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.479 * [taylor]: Taking taylor expansion of (tan x) in x 0.479 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.479 * [taylor]: Taking taylor expansion of (sin x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (cos x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.480 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.480 * [taylor]: Taking taylor expansion of (tan x) in x 0.480 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.480 * [taylor]: Taking taylor expansion of (sin x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (cos x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.504 * [taylor]: Taking taylor expansion of 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 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 x in x 0.505 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.505 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.505 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.505 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.505 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [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 x in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.507 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.507 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.507 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.507 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of 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 x in x 0.508 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.508 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.508 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.508 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.508 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of 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 x in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.535 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.535 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.535 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.535 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.536 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.536 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.536 * [taylor]: Taking taylor expansion of -1 in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.536 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.536 * [taylor]: Taking taylor expansion of -1 in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.536 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.536 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.536 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.536 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.536 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.536 * [taylor]: Taking taylor expansion of -1 in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.537 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.537 * [taylor]: Taking taylor expansion of -1 in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.538 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.538 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.539 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.539 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.539 * [taylor]: Taking taylor expansion of -1 in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.539 * [taylor]: Taking taylor expansion of -1 in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.539 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.539 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.539 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.540 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.540 * [taylor]: Taking taylor expansion of -1 in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.540 * [taylor]: Taking taylor expansion of -1 in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * * * [progress]: simplifying candidates 0.569 * [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)) (/ (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))) (- (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)))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 0.577 * * [simplify]: iteration 0 : 314 enodes (cost 909 ) 0.583 * * [simplify]: iteration 1 : 1157 enodes (cost 838 ) 0.608 * * [simplify]: iteration 2 : 5001 enodes (cost 824 ) 0.613 * [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)) (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))) (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)))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 0.614 * * * [progress]: adding candidates to table 0.834 * * [progress]: iteration 2 / 4 0.834 * * * [progress]: picking best candidate 0.865 * * * * [pick]: Picked # 0.865 * * * [progress]: localizing error 0.875 * * * [progress]: generating rewritten candidates 0.875 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.880 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.885 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.889 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.903 * * * [progress]: generating series expansions 0.903 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.903 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.903 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.903 * [taylor]: Taking taylor expansion of (tan x) in x 0.903 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.903 * [taylor]: Taking taylor expansion of (sin x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (cos x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.904 * [taylor]: Taking taylor expansion of (tan x) in x 0.904 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.904 * [taylor]: Taking taylor expansion of (sin x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (cos x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.917 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.917 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.917 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.917 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.917 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.918 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.918 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.918 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.925 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.925 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.925 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.925 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.925 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.925 * [taylor]: Taking taylor expansion of -1 in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.926 * [taylor]: Taking taylor expansion of -1 in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.926 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.926 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.926 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.926 * [taylor]: Taking taylor expansion of -1 in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.927 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.927 * [taylor]: Taking taylor expansion of -1 in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.936 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.937 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in (x) around 0 0.937 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 0.937 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (tan x) in x 0.937 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.937 * [taylor]: Taking taylor expansion of (sin x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (cos x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 0.938 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.939 * [taylor]: Taking taylor expansion of (tan x) in x 0.939 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.939 * [taylor]: Taking taylor expansion of (sin x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (cos x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.947 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in (x) around 0 0.947 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 0.947 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.948 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.948 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 0.949 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.949 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.950 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.950 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.960 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in (x) around 0 0.960 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 0.960 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.960 * [taylor]: Taking taylor expansion of 1.0 in x 0.960 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.960 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.960 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.961 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.961 * [taylor]: Taking taylor expansion of -1 in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.961 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.961 * [taylor]: Taking taylor expansion of -1 in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 0.961 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.961 * [taylor]: Taking taylor expansion of 1.0 in x 0.962 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.962 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.962 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.962 * [taylor]: Taking taylor expansion of -1 in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.962 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.972 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.972 * [approximate]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in (x) around 0 0.972 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 0.972 * [taylor]: Taking taylor expansion of (tan x) in x 0.972 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.972 * [taylor]: Taking taylor expansion of (sin x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (cos x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.973 * [taylor]: Taking taylor expansion of 1.0 in x 0.974 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 0.974 * [taylor]: Taking taylor expansion of (tan x) in x 0.974 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.974 * [taylor]: Taking taylor expansion of (sin x) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of (cos x) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.974 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [approximate]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in (x) around 0 0.982 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 0.982 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.982 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.982 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 0.983 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.983 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.983 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.984 * [taylor]: Taking taylor expansion of 1.0 in x 0.992 * [approximate]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in (x) around 0 0.992 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 0.992 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.993 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.993 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.993 * [taylor]: Taking taylor expansion of -1 in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.993 * [taylor]: Taking taylor expansion of -1 in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 0.994 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 0.994 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.994 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.994 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.994 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.994 * [taylor]: Taking taylor expansion of -1 in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.995 * [taylor]: Taking taylor expansion of -1 in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.995 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.004 * [approximate]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in (x) around 0 1.004 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in x 1.004 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.004 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (tan x) in x 1.005 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.005 * [taylor]: Taking taylor expansion of (sin x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of (cos x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.005 * [taylor]: Taking taylor expansion of (tan x) in x 1.005 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.005 * [taylor]: Taking taylor expansion of (sin x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of (cos x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in x 1.007 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.007 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (tan x) in x 1.008 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.008 * [taylor]: Taking taylor expansion of (sin x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (cos x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.008 * [taylor]: Taking taylor expansion of (tan x) in x 1.008 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.008 * [taylor]: Taking taylor expansion of (sin x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (cos x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.040 * [approximate]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in (x) around 0 1.040 * [taylor]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in x 1.040 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.040 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.040 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.040 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.041 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.042 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.042 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.042 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in x 1.043 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.043 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.043 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.043 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.044 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.045 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.045 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.045 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.071 * [approximate]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in x 1.071 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.071 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.072 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.072 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.072 * [taylor]: Taking taylor expansion of -1 in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.072 * [taylor]: Taking taylor expansion of -1 in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.072 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.073 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.073 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.073 * [taylor]: Taking taylor expansion of -1 in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.073 * [taylor]: Taking taylor expansion of -1 in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in x 1.074 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.074 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.075 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.075 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.075 * [taylor]: Taking taylor expansion of -1 in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.075 * [taylor]: Taking taylor expansion of -1 in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.076 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.076 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.076 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.076 * [taylor]: Taking taylor expansion of -1 in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.076 * [taylor]: Taking taylor expansion of -1 in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.077 * [taylor]: Taking taylor expansion of 1.0 in x 1.104 * * * [progress]: simplifying candidates 1.106 * [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)) (/ (exp (sqrt 1.0)) (exp (tan x))) (log (- (sqrt 1.0) (tan x))) (exp (- (sqrt 1.0) (tan x))) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x)))) (cbrt (- (sqrt 1.0) (tan x))) (* (* (- (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (- (tan x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt 1.0) (tan x)) (- (tan x)) (* (exp (sqrt 1.0)) (exp (tan x))) (log (+ (sqrt 1.0) (tan x))) (exp (+ (sqrt 1.0) (tan x))) (* (cbrt (+ (sqrt 1.0) (tan x))) (cbrt (+ (sqrt 1.0) (tan x)))) (cbrt (+ (sqrt 1.0) (tan x))) (* (* (+ (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x))) (+ (sqrt 1.0) (tan x))) (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (+ (sqrt 1.0) (tan x))) (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (- (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x)) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ (log (+ (sqrt 1.0) (tan x))) (log (- (sqrt 1.0) (tan x)))) (log (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (exp (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (* (* (+ (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x))) (+ (sqrt 1.0) (tan x))) (* (* (- (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x)))) (* (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))))) (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (* (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (sqrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (sqrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x))))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x)))) (* (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (+ (sqrt 1.0) (tan x))) (* (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (- (sqrt 1.0) (tan x)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x))))) (* (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x)))) (* (- (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x))) (* (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x)))) (* (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x)))) (* (+ (sqrt 1.0) (tan x)) (sqrt 1.0)) (* (+ (sqrt 1.0) (tan x)) (- (tan x))) (* (+ (sqrt 1.0) (tan x)) (sqrt 1.0)) (* (+ (sqrt 1.0) (tan x)) (- (tan x))) (* (sqrt 1.0) (+ (sqrt 1.0) (tan x))) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (* (sqrt 1.0) (+ (sqrt 1.0) (tan x))) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x))))) (* (+ (sqrt 1.0) (tan x)) (sqrt (- (sqrt 1.0) (tan x)))) (* (+ (sqrt 1.0) (tan x)) 1) (* (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x)))) (* (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x)))) (* (+ (sqrt 1.0) (tan x)) 1) (* (cbrt (+ (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (* (sqrt (+ (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ (sqrt 1.0) (tan x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x)))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (sqrt 1.0) (tan x))) (* (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (- (sqrt 1.0) (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)) (- (sqrt 1.0) (+ (* 1/3 (pow x 3)) x)) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (* 1/3 (pow x 3)) (+ (sqrt 1.0) x)) (+ (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (pow (sqrt 1.0) 2) (+ (pow x 2) (* 2/3 (pow x 4)))) (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (* (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x)))) 1.111 * * [simplify]: iteration 0 : 328 enodes (cost 693 ) 1.118 * * [simplify]: iteration 1 : 1582 enodes (cost 618 ) 1.150 * * [simplify]: iteration 2 : 5001 enodes (cost 607 ) 1.153 * [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 (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (exp (- (sqrt 1.0) (tan x))) (log (- (sqrt 1.0) (tan x))) (exp (- (sqrt 1.0) (tan x))) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x)))) (cbrt (- (sqrt 1.0) (tan x))) (pow (- (sqrt 1.0) (tan x)) 3) (sqrt (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (- (tan x)) (- 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (pow (sqrt 1.0) 1/2) (sqrt (tan x))) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (pow (sqrt 1.0) 1/2) (sqrt (tan x))) (- (sqrt 1.0) (tan x)) (- (tan x)) (exp (+ (sqrt 1.0) (tan x))) (log (+ (sqrt 1.0) (tan x))) (exp (+ (sqrt 1.0) (tan x))) (* (cbrt (+ (sqrt 1.0) (tan x))) (cbrt (+ (sqrt 1.0) (tan x)))) (cbrt (+ (sqrt 1.0) (tan x))) (pow (+ (sqrt 1.0) (tan x)) 3) (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (+ (sqrt 1.0) (tan x))) (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (tan x) (- (tan x) (sqrt 1.0))) 1.0) (- 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x)) (- 1.0 (* (tan x) (tan x))) (log (- 1.0 (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (pow (+ 1.0 (- (* (tan x) (tan x)))) 3) (* (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))))) (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (pow (+ 1.0 (- (* (tan x) (tan x)))) 3) (sqrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (sqrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (+ (* (tan x) (- (tan x) (sqrt 1.0))) 1.0)) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- 1.0 (* (tan x) (tan x)))) (* (+ (sqrt 1.0) (tan x)) (+ (* (tan x) (- (tan x) (sqrt 1.0))) 1.0)) (* (- 1.0 (* (tan x) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (- (sqrt 1.0) (tan x))) (* (+ 1.0 (- (* (tan x) (tan x)))) (+ 1.0 (- (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (* (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x)))) (* (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x)))) (+ 1.0 (* (sqrt 1.0) (tan x))) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (+ 1.0 (* (sqrt 1.0) (tan x))) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (+ 1.0 (* (sqrt 1.0) (tan x))) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (+ 1.0 (* (sqrt 1.0) (tan x))) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x))))) (* (+ (sqrt 1.0) (tan x)) (sqrt (- (sqrt 1.0) (tan x)))) (+ (sqrt 1.0) (tan x)) (* (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x)))) (* (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x)))) (+ (sqrt 1.0) (tan x)) (* (cbrt (+ (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (* (sqrt (+ (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ 1.0 (- (* (tan x) (tan x)))) (+ (sqrt 1.0) (tan x))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (sqrt 1.0) (tan x))) (* (- (sqrt 1.0) (tan x)) (+ 1.0 (- (* (tan x) (tan x))))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (sqrt 1.0) (+ (* 1/3 (pow x 3)) x)) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (* 1/3 (pow x 3)) (+ (sqrt 1.0) x)) (+ (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (- 1.0 (pow x 2)) (* 2/3 (pow x 4))) (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) 1.154 * * * [progress]: adding candidates to table 1.337 * * [progress]: iteration 3 / 4 1.337 * * * [progress]: picking best candidate 1.370 * * * * [pick]: Picked # 1.370 * * * [progress]: localizing error 1.384 * * * [progress]: generating rewritten candidates 1.384 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.390 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.395 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.399 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1.405 * * * [progress]: generating series expansions 1.405 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.406 * [approximate]: Taking taylor expansion of (exp (+ (tan x) (sqrt 1.0))) in (x) around 0 1.406 * [taylor]: Taking taylor expansion of (exp (+ (tan x) (sqrt 1.0))) in x 1.406 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.406 * [taylor]: Taking taylor expansion of (tan x) in x 1.406 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.406 * [taylor]: Taking taylor expansion of (sin x) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.406 * [taylor]: Taking taylor expansion of (cos x) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.407 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.407 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of (exp (+ (tan x) (sqrt 1.0))) in x 1.408 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.408 * [taylor]: Taking taylor expansion of (tan x) in x 1.409 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.409 * [taylor]: Taking taylor expansion of (sin x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (cos x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.421 * [approximate]: Taking taylor expansion of (exp (+ (tan (/ 1 x)) (sqrt 1.0))) in (x) around 0 1.421 * [taylor]: Taking taylor expansion of (exp (+ (tan (/ 1 x)) (sqrt 1.0))) in x 1.421 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.421 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.422 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.422 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.422 * [taylor]: Taking taylor expansion of 1.0 in x 1.424 * [taylor]: Taking taylor expansion of (exp (+ (tan (/ 1 x)) (sqrt 1.0))) in x 1.424 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.424 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.424 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.424 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.424 * [taylor]: Taking taylor expansion of 1.0 in x 1.447 * [approximate]: Taking taylor expansion of (exp (+ (tan (/ -1 x)) (sqrt 1.0))) in (x) around 0 1.447 * [taylor]: Taking taylor expansion of (exp (+ (tan (/ -1 x)) (sqrt 1.0))) in x 1.447 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.447 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.447 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.447 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.447 * [taylor]: Taking taylor expansion of -1 in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.447 * [taylor]: Taking taylor expansion of -1 in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.448 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.448 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of (exp (+ (tan (/ -1 x)) (sqrt 1.0))) in x 1.449 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.449 * [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 -1 in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.450 * [taylor]: Taking taylor expansion of -1 in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.450 * [taylor]: Taking taylor expansion of 1.0 in x 1.468 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.469 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.469 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.469 * [taylor]: Taking taylor expansion of (tan x) in x 1.469 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.469 * [taylor]: Taking taylor expansion of (sin x) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of (cos x) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.469 * [taylor]: Taking taylor expansion of (tan x) in x 1.470 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.470 * [taylor]: Taking taylor expansion of (sin x) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.470 * [taylor]: Taking taylor expansion of (cos x) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.482 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.482 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.482 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.482 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.482 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.483 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.483 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.483 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.490 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.490 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.490 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.491 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.491 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.491 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.491 * [taylor]: Taking taylor expansion of -1 in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.491 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.491 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.491 * [taylor]: Taking taylor expansion of -1 in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.491 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.491 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.491 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.491 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.492 * [taylor]: Taking taylor expansion of -1 in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.492 * [taylor]: Taking taylor expansion of -1 in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.499 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.499 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in (x) around 0 1.499 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.499 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.499 * [taylor]: Taking taylor expansion of 1.0 in x 1.500 * [taylor]: Taking taylor expansion of (tan x) in x 1.500 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.500 * [taylor]: Taking taylor expansion of (sin x) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (cos x) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.501 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.501 * [taylor]: Taking taylor expansion of 1.0 in x 1.501 * [taylor]: Taking taylor expansion of (tan x) in x 1.502 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.502 * [taylor]: Taking taylor expansion of (sin x) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of (cos x) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.512 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in (x) around 0 1.512 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.512 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.512 * [taylor]: Taking taylor expansion of 1.0 in x 1.513 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.513 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.513 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.513 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.514 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.515 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.515 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.524 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in (x) around 0 1.525 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.525 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.525 * [taylor]: Taking taylor expansion of 1.0 in x 1.525 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.525 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.525 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.525 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.525 * [taylor]: Taking taylor expansion of -1 in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.526 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.526 * [taylor]: Taking taylor expansion of -1 in x 1.526 * [taylor]: Taking taylor expansion of x in x 1.526 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.526 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.526 * [taylor]: Taking taylor expansion of 1.0 in x 1.527 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.527 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.527 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.527 * [taylor]: Taking taylor expansion of -1 in x 1.527 * [taylor]: Taking taylor expansion of x in x 1.527 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.527 * [taylor]: Taking taylor expansion of -1 in x 1.527 * [taylor]: Taking taylor expansion of x in x 1.537 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.537 * [approximate]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in (x) around 0 1.537 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.537 * [taylor]: Taking taylor expansion of (tan x) in x 1.537 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.537 * [taylor]: Taking taylor expansion of (sin x) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of (cos x) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.538 * [taylor]: Taking taylor expansion of 1.0 in x 1.539 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.539 * [taylor]: Taking taylor expansion of (tan x) in x 1.539 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.539 * [taylor]: Taking taylor expansion of (sin x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (cos x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.540 * [taylor]: Taking taylor expansion of 1.0 in x 1.547 * [approximate]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in (x) around 0 1.547 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.547 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.547 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.547 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.548 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.548 * [taylor]: Taking taylor expansion of x in x 1.548 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.548 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.549 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.549 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.549 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.550 * [taylor]: Taking taylor expansion of 1.0 in x 1.558 * [approximate]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in (x) around 0 1.558 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.558 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.558 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.558 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.558 * [taylor]: Taking taylor expansion of -1 in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.560 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.560 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.560 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.560 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.560 * [taylor]: Taking taylor expansion of -1 in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.560 * [taylor]: Taking taylor expansion of -1 in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.561 * [taylor]: Taking taylor expansion of 1.0 in x 1.569 * * * [progress]: simplifying candidates 1.570 * [simplify]: Simplifying using # : (exp (* (cbrt (+ (sqrt 1.0) (tan x))) (cbrt (+ (sqrt 1.0) (tan x))))) (exp (sqrt (+ (sqrt 1.0) (tan x)))) (exp 1) (exp 1) (exp (sqrt 1.0)) (exp (tan x)) (log (exp (+ (sqrt 1.0) (tan x)))) (exp (exp (+ (sqrt 1.0) (tan x)))) (* (cbrt (exp (+ (sqrt 1.0) (tan x)))) (cbrt (exp (+ (sqrt 1.0) (tan x))))) (cbrt (exp (+ (sqrt 1.0) (tan x)))) (* (* (exp (+ (sqrt 1.0) (tan x))) (exp (+ (sqrt 1.0) (tan x)))) (exp (+ (sqrt 1.0) (tan x)))) (sqrt (exp (+ (sqrt 1.0) (tan x)))) (sqrt (exp (+ (sqrt 1.0) (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)) (/ (exp (sqrt 1.0)) (exp (tan x))) (log (- (sqrt 1.0) (tan x))) (exp (- (sqrt 1.0) (tan x))) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x)))) (cbrt (- (sqrt 1.0) (tan x))) (* (* (- (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (- (tan x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt 1.0) (tan x)) (- (tan x)) (* (exp (sqrt 1.0)) (exp (tan x))) (log (+ (sqrt 1.0) (tan x))) (exp (+ (sqrt 1.0) (tan x))) (* (cbrt (+ (sqrt 1.0) (tan x))) (cbrt (+ (sqrt 1.0) (tan x)))) (cbrt (+ (sqrt 1.0) (tan x))) (* (* (+ (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x))) (+ (sqrt 1.0) (tan x))) (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (+ (sqrt 1.0) (tan x))) (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (- (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x)) (+ (* (exp (sqrt 1.0)) x) (+ (exp (sqrt 1.0)) (* 1/2 (* (exp (sqrt 1.0)) (pow x 2))))) (exp (+ (sqrt 1.0) (/ (sin x) (cos x)))) (exp (+ (sqrt 1.0) (/ (sin x) (cos 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)) (- (sqrt 1.0) (+ (* 1/3 (pow x 3)) x)) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (* 1/3 (pow x 3)) (+ (sqrt 1.0) x)) (+ (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x))) 1.574 * * [simplify]: iteration 0 : 239 enodes (cost 389 ) 1.579 * * [simplify]: iteration 1 : 858 enodes (cost 352 ) 1.597 * * [simplify]: iteration 2 : 3906 enodes (cost 344 ) 1.689 * * [simplify]: iteration 3 : 5001 enodes (cost 338 ) 1.691 * [simplify]: Simplified to: (exp (* (cbrt (+ (sqrt 1.0) (tan x))) (cbrt (+ (sqrt 1.0) (tan x))))) (exp (sqrt (+ (sqrt 1.0) (tan x)))) E E (exp (sqrt 1.0)) (exp (tan x)) (+ (sqrt 1.0) (tan x)) (exp (exp (+ (sqrt 1.0) (tan x)))) (* (cbrt (exp (+ (sqrt 1.0) (tan x)))) (cbrt (exp (+ (sqrt 1.0) (tan x))))) (cbrt (exp (+ (sqrt 1.0) (tan x)))) (pow (exp (+ (sqrt 1.0) (tan x))) 3) (sqrt (exp (+ (sqrt 1.0) (tan x)))) (sqrt (exp (+ (sqrt 1.0) (tan x)))) 2 (pow (tan x) 2) 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 (pow (tan x) 2) (tan x) (tan x) 2 (pow (cbrt (tan x)) 5) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (pow (tan x) 2) (* (tan x) (sin x)) (* (tan x) (sin x)) (exp (- (sqrt 1.0) (tan x))) (log (- (sqrt 1.0) (tan x))) (exp (- (sqrt 1.0) (tan x))) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x)))) (cbrt (- (sqrt 1.0) (tan x))) (pow (- (sqrt 1.0) (tan x)) 3) (sqrt (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (- (tan x)) (+ 1.0 (- (* (tan x) (tan x)))) (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt 1.0) (tan x)) (- (tan x)) (exp (+ (sqrt 1.0) (tan x))) (log (+ (sqrt 1.0) (tan x))) (exp (+ (sqrt 1.0) (tan x))) (* (cbrt (+ (sqrt 1.0) (tan x))) (cbrt (+ (sqrt 1.0) (tan x)))) (cbrt (+ (sqrt 1.0) (tan x))) (pow (+ (sqrt 1.0) (tan x)) 3) (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (+ (sqrt 1.0) (tan x))) (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (tan x) (- (tan x) (sqrt 1.0))) 1.0) (+ 1.0 (- (* (tan x) (tan x)))) (- (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x)) (* (exp (sqrt 1.0)) (+ (+ x 1) (* 1/2 (pow x 2)))) (exp (+ (sqrt 1.0) (/ (sin x) (cos x)))) (exp (+ (sqrt 1.0) (/ (sin x) (cos 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)) (- (sqrt 1.0) (+ (* 1/3 (pow x 3)) x)) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (* 1/3 (pow x 3)) (+ (sqrt 1.0) x)) (+ (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x))) 1.692 * * * [progress]: adding candidates to table 1.866 * * [progress]: iteration 4 / 4 1.866 * * * [progress]: picking best candidate 1.897 * * * * [pick]: Picked # 1.898 * * * [progress]: localizing error 1.915 * * * [progress]: generating rewritten candidates 1.915 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2) 1.918 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.923 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.930 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2) 1.937 * * * [progress]: generating series expansions 1.938 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2) 1.938 * [approximate]: Taking taylor expansion of (pow (tan x) 3) in (x) around 0 1.938 * [taylor]: Taking taylor expansion of (pow (tan x) 3) in x 1.938 * [taylor]: Taking taylor expansion of (tan x) in x 1.938 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.938 * [taylor]: Taking taylor expansion of (sin x) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [taylor]: Taking taylor expansion of (cos x) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.939 * [taylor]: Taking taylor expansion of (pow (tan x) 3) in x 1.939 * [taylor]: Taking taylor expansion of (tan x) in x 1.939 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.939 * [taylor]: Taking taylor expansion of (sin x) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.939 * [taylor]: Taking taylor expansion of (cos x) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.955 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 3) in (x) around 0 1.955 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 3) in x 1.955 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.955 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.955 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.955 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 3) in x 1.956 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.956 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.956 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.968 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 3) in (x) around 0 1.968 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 3) in x 1.968 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.968 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.968 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.969 * [taylor]: Taking taylor expansion of -1 in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.969 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.969 * [taylor]: Taking taylor expansion of -1 in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.969 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 3) 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 -1 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 -1 in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.982 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.982 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.982 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.982 * [taylor]: Taking taylor expansion of (tan x) in x 1.982 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.982 * [taylor]: Taking taylor expansion of (sin x) in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.982 * [taylor]: Taking taylor expansion of (cos x) in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.983 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.983 * [taylor]: Taking taylor expansion of (tan x) in x 1.983 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.983 * [taylor]: Taking taylor expansion of (sin x) in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.983 * [taylor]: Taking taylor expansion of (cos x) in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.996 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.996 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.996 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.996 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.996 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.997 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.997 * [taylor]: Taking taylor expansion of x in x 1.997 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.997 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.997 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.997 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.997 * [taylor]: Taking taylor expansion of x in x 1.997 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 2.004 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 2.005 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.005 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.005 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.005 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.005 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.005 * [taylor]: Taking taylor expansion of -1 in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.005 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.005 * [taylor]: Taking taylor expansion of -1 in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.005 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.006 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.006 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.006 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.006 * [taylor]: Taking taylor expansion of -1 in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.006 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.006 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.006 * [taylor]: Taking taylor expansion of -1 in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.016 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.016 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in (x) around 0 2.016 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 2.016 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.016 * [taylor]: Taking taylor expansion of 1.0 in x 2.017 * [taylor]: Taking taylor expansion of (tan x) in x 2.017 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.017 * [taylor]: Taking taylor expansion of (sin x) in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.017 * [taylor]: Taking taylor expansion of (cos x) in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.018 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 2.018 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.018 * [taylor]: Taking taylor expansion of 1.0 in x 2.018 * [taylor]: Taking taylor expansion of (tan x) in x 2.019 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.019 * [taylor]: Taking taylor expansion of (sin x) in x 2.019 * [taylor]: Taking taylor expansion of x in x 2.019 * [taylor]: Taking taylor expansion of (cos x) in x 2.019 * [taylor]: Taking taylor expansion of x in x 2.026 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in (x) around 0 2.026 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 2.026 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.026 * [taylor]: Taking taylor expansion of 1.0 in x 2.027 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.027 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.027 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.028 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 2.028 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.028 * [taylor]: Taking taylor expansion of 1.0 in x 2.029 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.029 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.029 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.038 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in (x) around 0 2.038 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 2.038 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.039 * [taylor]: Taking taylor expansion of 1.0 in x 2.039 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.039 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.039 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.039 * [taylor]: Taking taylor expansion of -1 in x 2.039 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.040 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.040 * [taylor]: Taking taylor expansion of -1 in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 2.040 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.040 * [taylor]: Taking taylor expansion of 1.0 in x 2.041 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.041 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.041 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.041 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.041 * [taylor]: Taking taylor expansion of -1 in x 2.041 * [taylor]: Taking taylor expansion of x in x 2.041 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.041 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.041 * [taylor]: Taking taylor expansion of -1 in x 2.042 * [taylor]: Taking taylor expansion of x in x 2.051 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2) 2.051 * [approximate]: Taking taylor expansion of (- (tan x) (sqrt 1.0)) in (x) around 0 2.051 * [taylor]: Taking taylor expansion of (- (tan x) (sqrt 1.0)) in x 2.051 * [taylor]: Taking taylor expansion of (tan x) in x 2.051 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.051 * [taylor]: Taking taylor expansion of (sin x) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of (cos x) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.052 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.052 * [taylor]: Taking taylor expansion of 1.0 in x 2.053 * [taylor]: Taking taylor expansion of (- (tan x) (sqrt 1.0)) in x 2.053 * [taylor]: Taking taylor expansion of (tan x) in x 2.053 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.053 * [taylor]: Taking taylor expansion of (sin x) in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.053 * [taylor]: Taking taylor expansion of (cos x) in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.053 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.054 * [taylor]: Taking taylor expansion of 1.0 in x 2.063 * [approximate]: Taking taylor expansion of (- (tan (/ 1 x)) (sqrt 1.0)) in (x) around 0 2.063 * [taylor]: Taking taylor expansion of (- (tan (/ 1 x)) (sqrt 1.0)) in x 2.063 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.063 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.063 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.064 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.064 * [taylor]: Taking taylor expansion of 1.0 in x 2.064 * [taylor]: Taking taylor expansion of (- (tan (/ 1 x)) (sqrt 1.0)) in x 2.064 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.064 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.064 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.065 * [taylor]: Taking taylor expansion of 1.0 in x 2.076 * [approximate]: Taking taylor expansion of (- (tan (/ -1 x)) (sqrt 1.0)) in (x) around 0 2.076 * [taylor]: Taking taylor expansion of (- (tan (/ -1 x)) (sqrt 1.0)) in x 2.076 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.076 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.076 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.076 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.076 * [taylor]: Taking taylor expansion of -1 in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.076 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.076 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.076 * [taylor]: Taking taylor expansion of -1 in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.077 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.077 * [taylor]: Taking taylor expansion of 1.0 in x 2.077 * [taylor]: Taking taylor expansion of (- (tan (/ -1 x)) (sqrt 1.0)) in x 2.077 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.077 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.077 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.077 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.077 * [taylor]: Taking taylor expansion of -1 in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.078 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.078 * [taylor]: Taking taylor expansion of -1 in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.078 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.078 * [taylor]: Taking taylor expansion of 1.0 in x 2.089 * * * [progress]: simplifying candidates 2.090 * [simplify]: Simplifying using # : (* (log (tan x)) 3) (* (log (tan x)) 3) (* 1 3) (pow (tan x) (* (cbrt 3) (cbrt 3))) (pow (tan x) (sqrt 3)) (pow (tan x) 1) (pow (* (cbrt (tan x)) (cbrt (tan x))) 3) (pow (cbrt (tan x)) 3) (pow (sqrt (tan x)) 3) (pow (sqrt (tan x)) 3) (pow 1 3) (pow (tan x) 3) (* (tan x) (tan x)) (log (pow (tan x) 3)) (exp (pow (tan x) 3)) (* (cbrt (pow (tan x) 3)) (cbrt (pow (tan x) 3))) (cbrt (pow (tan x) 3)) (* (* (pow (tan x) 3) (pow (tan x) 3)) (pow (tan x) 3)) (pow (* (cbrt (tan x)) (cbrt (tan x))) 3) (pow (cbrt (tan x)) 3) (pow (sqrt (tan x)) 3) (pow (sqrt (tan x)) 3) (pow 1 3) (pow (tan x) 3) (pow (sin x) 3) (pow (cos x) 3) (* (tan x) (tan x)) (sqrt (pow (tan x) 3)) (sqrt (pow (tan x) 3)) (pow (tan x) (/ 3 2)) (pow (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)) (/ (exp (sqrt 1.0)) (exp (tan x))) (log (- (sqrt 1.0) (tan x))) (exp (- (sqrt 1.0) (tan x))) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x)))) (cbrt (- (sqrt 1.0) (tan x))) (* (* (- (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (- (tan x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt 1.0) (tan x)) (- (tan x)) (/ (exp (tan x)) (exp (sqrt 1.0))) (log (- (tan x) (sqrt 1.0))) (exp (- (tan x) (sqrt 1.0))) (* (cbrt (- (tan x) (sqrt 1.0))) (cbrt (- (tan x) (sqrt 1.0)))) (cbrt (- (tan x) (sqrt 1.0))) (* (* (- (tan x) (sqrt 1.0)) (- (tan x) (sqrt 1.0))) (- (tan x) (sqrt 1.0))) (sqrt (- (tan x) (sqrt 1.0))) (sqrt (- (tan x) (sqrt 1.0))) (- (pow (tan x) 3) (pow (sqrt 1.0) 3)) (+ (* (tan x) (tan x)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (sqrt 1.0)))) (- (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (sqrt 1.0))) (+ (tan x) (sqrt 1.0)) (+ (sqrt (tan x)) (sqrt (sqrt 1.0))) (- (sqrt (tan x)) (sqrt (sqrt 1.0))) (+ (sqrt (tan x)) (sqrt (sqrt 1.0))) (- (sqrt (tan x)) (sqrt (sqrt 1.0))) (- (tan x) (sqrt 1.0)) (- (sqrt 1.0)) (+ (* 11/15 (pow x 7)) (+ (pow x 3) (pow x 5))) (/ (pow (sin x) 3) (pow (cos x) 3)) (/ (pow (sin x) 3) (pow (cos x) 3)) (+ (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)) (- (sqrt 1.0) (+ (* 1/3 (pow x 3)) x)) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (+ (* 1/3 (pow x 3)) x) (sqrt 1.0)) (- (/ (sin x) (cos x)) (sqrt 1.0)) (- (/ (sin x) (cos x)) (sqrt 1.0)) 2.095 * * [simplify]: iteration 0 : 283 enodes (cost 400 ) 2.102 * * [simplify]: iteration 1 : 1357 enodes (cost 359 ) 2.138 * * [simplify]: iteration 2 : 5002 enodes (cost 348 ) 2.144 * [simplify]: Simplified to: (log (pow (tan x) 3)) (log (pow (tan x) 3)) 3 (pow (tan x) (* (cbrt 3) (cbrt 3))) (pow (tan x) (sqrt 3)) (tan x) (pow (tan x) 2) (tan x) (pow (tan x) 3/2) (pow (tan x) 3/2) 1 (pow (tan x) 3) (pow (tan x) 2) (log (pow (tan x) 3)) (exp (pow (tan x) 3)) (pow (tan x) 2) (tan x) (pow (pow (tan x) 3) 3) (pow (tan x) 2) (tan x) (pow (tan x) 3/2) (pow (tan x) 3/2) 1 (pow (tan x) 3) (pow (sin x) 3) (pow (cos x) 3) (pow (tan x) 2) (sqrt (pow (tan x) 3)) (sqrt (pow (tan x) 3)) (pow (tan x) 3/2) (pow (tan x) 3/2) 2 (pow (tan x) 2) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (pow (tan x) 2)) (pow (tan x) 6) (pow (cbrt (tan x)) 4) (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) (tan x))) (tan x) (tan x) 1 (pow (tan x) 2) (tan x) (tan x) 2 (pow (cbrt (tan x)) 5) (pow (tan x) 3/2) (tan x) (pow (cbrt (tan x)) 4) (pow (tan x) 3/2) (pow (tan x) 2) (* (tan x) (sin x)) (* (tan x) (sin x)) (exp (- (sqrt 1.0) (tan x))) (log (- (sqrt 1.0) (tan x))) (exp (- (sqrt 1.0) (tan x))) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x)))) (cbrt (- (sqrt 1.0) (tan x))) (pow (- (sqrt 1.0) (tan x)) 3) (sqrt (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (- (tan x)) (- 1.0 (pow (tan x) 2)) (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt 1.0) (tan x)) (- (tan x)) (exp (- (tan x) (sqrt 1.0))) (log (- (tan x) (sqrt 1.0))) (exp (- (tan x) (sqrt 1.0))) (* (cbrt (- (tan x) (sqrt 1.0))) (cbrt (- (tan x) (sqrt 1.0)))) (cbrt (- (tan x) (sqrt 1.0))) (pow (- (tan x) (sqrt 1.0)) 3) (sqrt (- (tan x) (sqrt 1.0))) (sqrt (- (tan x) (sqrt 1.0))) (- (pow (tan x) 3) (pow (sqrt 1.0) 3)) (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (- (sqrt 1.0)) (- (pow (tan x) 2) 1.0) (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (tan x)) (sqrt (sqrt 1.0))) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (tan x)) (sqrt (sqrt 1.0))) (- (tan x) (sqrt 1.0)) (- (sqrt 1.0)) (+ (* 11/15 (pow x 7)) (+ (pow x 3) (pow x 5))) (pow (/ (sin x) (cos x)) 3) (pow (/ (sin x) (cos x)) 3) (+ (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)) (- (sqrt 1.0) (+ (* 1/3 (pow x 3)) x)) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (+ (* 1/3 (pow x 3)) x) (sqrt 1.0)) (- (/ (sin x) (cos x)) (sqrt 1.0)) (- (/ (sin x) (cos x)) (sqrt 1.0)) 2.144 * * * [progress]: adding candidates to table 2.358 * [progress]: [Phase 3 of 3] Extracting. 2.359 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 2.363 * * * [regime-changes]: Trying 4 branch expressions: ((tan x) (* (tan x) (tan x)) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) x) 2.363 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # # # # # # #) 2.414 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # # # # # # # # # # #) 2.460 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # #) 2.476 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) from (# # # # # # # # # # # # # #) 2.523 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 2.567 * * * [regime]: Found split indices: #