0.800 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.299 * * * [progress]: [2/2] Setting up program. 0.302 * [progress]: [Phase 2 of 3] Improving. 0.305 * [simplify]: Simplifying using # : (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.307 * * [simplify]: iteration 0 : 7 enodes (cost 15 ) 0.311 * * [simplify]: iteration 1 : 13 enodes (cost 15 ) 0.312 * * [simplify]: iteration 2 : 21 enodes (cost 15 ) 0.315 * * [simplify]: iteration 3 : 26 enodes (cost 15 ) 0.317 * * [simplify]: iteration 4 : 34 enodes (cost 15 ) 0.321 * * [simplify]: iteration 5 : 37 enodes (cost 15 ) 0.325 * * [simplify]: iteration done : 37 enodes (cost 15 ) 0.325 * [simplify]: Simplified to: (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.326 * * [progress]: iteration 1 / 4 0.327 * * * [progress]: picking best candidate 0.328 * * * * [pick]: Picked # 0.328 * * * [progress]: localizing error 0.338 * * * [progress]: generating rewritten candidates 0.338 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.345 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.350 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.358 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.373 * * * [progress]: generating series expansions 0.373 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.377 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.378 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.378 * [taylor]: Taking taylor expansion of (tan x) in x 0.379 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.379 * [taylor]: Taking taylor expansion of (sin x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (cos x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.381 * [taylor]: Taking taylor expansion of (tan x) in x 0.381 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.381 * [taylor]: Taking taylor expansion of (sin x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (cos x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.398 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.398 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.398 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.398 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.399 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.399 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.399 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.407 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.407 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.407 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.407 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.407 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.407 * [taylor]: Taking taylor expansion of -1 in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.408 * [taylor]: Taking taylor expansion of -1 in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.408 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.408 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.408 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.409 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.409 * [taylor]: Taking taylor expansion of -1 in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.409 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.409 * [taylor]: Taking taylor expansion of -1 in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.416 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.416 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.416 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.416 * [taylor]: Taking taylor expansion of (tan x) in x 0.416 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.416 * [taylor]: Taking taylor expansion of (sin x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (cos x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.417 * [taylor]: Taking taylor expansion of (tan x) in x 0.417 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.417 * [taylor]: Taking taylor expansion of (sin x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (cos x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.430 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.430 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.430 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.430 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.430 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.431 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.431 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.431 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.439 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.439 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.439 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.439 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.439 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.439 * [taylor]: Taking taylor expansion of -1 in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.439 * [taylor]: Taking taylor expansion of -1 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.440 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.440 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.440 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.440 * [taylor]: Taking taylor expansion of -1 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.440 * [taylor]: Taking taylor expansion of -1 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.448 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.448 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.448 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.448 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.448 * [taylor]: Taking taylor expansion of (tan x) in x 0.448 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.448 * [taylor]: Taking taylor expansion of (sin x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (cos x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.449 * [taylor]: Taking taylor expansion of (tan x) in x 0.449 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.449 * [taylor]: Taking taylor expansion of (sin x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (cos x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.451 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.451 * [taylor]: Taking taylor expansion of (tan x) in x 0.451 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.451 * [taylor]: Taking taylor expansion of (sin x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (cos x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.452 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.452 * [taylor]: Taking taylor expansion of (tan x) in x 0.452 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.452 * [taylor]: Taking taylor expansion of (sin x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (cos x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.478 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.478 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.478 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.478 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.478 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.479 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.479 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.479 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.479 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.481 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.481 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.481 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.481 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.482 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.482 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.482 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.482 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.510 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.510 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.510 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.510 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.510 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.510 * [taylor]: Taking taylor expansion of -1 in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.510 * [taylor]: Taking taylor expansion of -1 in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.511 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.511 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.511 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.511 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.511 * [taylor]: Taking taylor expansion of -1 in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.511 * [taylor]: Taking taylor expansion of -1 in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.513 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.513 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.513 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.514 * [taylor]: Taking taylor expansion of -1 in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.514 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.514 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.514 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.514 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.514 * [taylor]: Taking taylor expansion of -1 in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.514 * [taylor]: Taking taylor expansion of -1 in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.542 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.542 * [taylor]: Taking taylor expansion of (tan x) in x 0.542 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.542 * [taylor]: Taking taylor expansion of (sin x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (cos x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.543 * [taylor]: Taking taylor expansion of (tan x) in x 0.543 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.543 * [taylor]: Taking taylor expansion of (sin x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (cos x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.550 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 0.550 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.551 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.551 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.551 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.551 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.552 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.552 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.565 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.565 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.565 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.565 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.566 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.566 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.566 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.566 * [taylor]: Taking taylor expansion of -1 in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.566 * [taylor]: Taking taylor expansion of -1 in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.577 * * * [progress]: simplifying candidates 0.578 * [simplify]: Simplifying using # : (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (- (log (- 1.0 (* (tan x) (tan x)))) (log (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (* (* (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (- (- 1.0 (* (tan x) (tan x)))) (- (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 1) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) 1) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) 1) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (* (+ 1.0 (* (tan x) (tan x))) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x)))))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (exp 1.0) (exp (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x))))) (- (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (- (* (tan x) (tan x))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 0.583 * * [simplify]: iteration 0 : 138 enodes (cost 1632 ) 0.606 * * [simplify]: iteration 1 : 314 enodes (cost 1486 )