0.813 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.276 * * * [progress]: [2/2] Setting up program. 0.278 * [progress]: [Phase 2 of 3] Improving. 0.281 * [simplify]: Simplifying using # : (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.284 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 0.285 * * [simplify]: iteration 1 : 22 enodes (cost 9 ) 0.287 * * [simplify]: iteration 2 : 29 enodes (cost 9 ) 0.288 * * [simplify]: iteration 3 : 37 enodes (cost 9 ) 0.290 * * [simplify]: iteration 4 : 43 enodes (cost 9 ) 0.291 * * [simplify]: iteration 5 : 45 enodes (cost 9 ) 0.292 * * [simplify]: iteration 6 : 45 enodes (cost 9 ) 0.293 * [simplify]: Simplified to: (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.294 * * [progress]: iteration 1 / 4 0.294 * * * [progress]: picking best candidate 0.296 * * * * [pick]: Picked # 0.296 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.314 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.319 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.322 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.332 * * * [progress]: generating series expansions 0.332 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.336 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.337 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.337 * [taylor]: Taking taylor expansion of (tan x) in x 0.338 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.338 * [taylor]: Taking taylor expansion of (sin x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (cos x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.340 * [taylor]: Taking taylor expansion of (tan x) in x 0.340 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.340 * [taylor]: Taking taylor expansion of (sin x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (cos x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.356 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.356 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.356 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.356 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.357 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.357 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.357 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.365 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.365 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.365 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.365 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.365 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.365 * [taylor]: Taking taylor expansion of -1 in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.366 * [taylor]: Taking taylor expansion of -1 in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.366 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.366 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.366 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.366 * [taylor]: Taking taylor expansion of -1 in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.367 * [taylor]: Taking taylor expansion of -1 in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.385 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.385 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.385 * [taylor]: Taking taylor expansion of (tan x) in x 0.385 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.385 * [taylor]: Taking taylor expansion of (sin x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (cos x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.386 * [taylor]: Taking taylor expansion of (tan x) in x 0.386 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.386 * [taylor]: Taking taylor expansion of (sin x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (cos x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.399 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 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 0.400 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.400 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.400 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.400 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [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 0.408 * [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 0.409 * [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]: [ 3 / 4 ] generating series at (2 1) 0.416 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0 0.416 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.418 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.418 * [taylor]: Taking taylor expansion of (tan x) in x 0.418 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.418 * [taylor]: Taking taylor expansion of (sin x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (cos x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.425 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 0.425 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.425 * [taylor]: Taking taylor expansion of 1.0 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 0.426 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.426 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.426 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.426 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.437 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.437 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.437 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.437 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.437 * [taylor]: Taking taylor expansion of -1 in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.437 * [taylor]: Taking taylor expansion of -1 in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.438 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.438 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.438 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.438 * [taylor]: Taking taylor expansion of -1 in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.438 * [taylor]: Taking taylor expansion of -1 in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.449 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.449 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.449 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.449 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.450 * [taylor]: Taking taylor expansion of (tan x) in x 0.450 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.450 * [taylor]: Taking taylor expansion of (sin x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (cos x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.450 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.450 * [taylor]: Taking taylor expansion of (tan x) in x 0.450 * [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 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.452 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.452 * [taylor]: Taking taylor expansion of 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 (+ (pow (tan x) 2) 1.0) in x 0.453 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.453 * [taylor]: Taking taylor expansion of (tan x) in x 0.453 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.453 * [taylor]: Taking taylor expansion of (sin x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (cos x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.477 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.477 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.477 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.477 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 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 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.480 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.480 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.480 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.480 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 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 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.508 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.508 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.508 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.508 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.509 * [taylor]: Taking taylor expansion of -1 in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.509 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.509 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.509 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.509 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.509 * [taylor]: Taking taylor expansion of -1 in x 0.509 * [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 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.511 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.511 * [taylor]: Taking taylor expansion of 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 0.512 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.512 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.512 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.512 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.512 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (cos (/ -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 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.539 * * * [progress]: simplifying candidates 0.541 * [simplify]: Simplifying using # : (expm1 (* (tan x) (tan x))) (log1p (* (tan 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)) (expm1 (* (tan x) (tan x))) (log1p (* (tan 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)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (tan x) (tan x)))) (fma (- (tan x)) (tan x) (* (tan x) (tan x))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (tan x) (tan x)))) (fma (- (tan x)) (tan x) (* (tan x) (tan x))) (fma 1 1.0 (- (* (tan x) (tan x)))) (fma (- (tan x)) (tan x) (* (tan x) (tan x))) (expm1 (- 1.0 (* (tan x) (tan x)))) (log1p (- 1.0 (* (tan x) (tan x)))) (- (* (tan x) (tan x))) (- (* (tan x) (tan x))) (- (* (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))) (expm1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (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)) 0.547 * * [simplify]: iteration 0 : 338 enodes (cost 1007 ) 0.553 * * [simplify]: iteration 1 : 1243 enodes (cost 918 ) 0.579 * * [simplify]: iteration 2 : 5001 enodes (cost 882 ) 0.584 * [simplify]: Simplified to: (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan 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)) (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan 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)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (tan x) (tan x)))) (* (tan x) (+ (- (tan x)) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (tan x) (+ (- (tan x)) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (tan x) (+ (- (tan x)) (tan x))) (expm1 (- 1.0 (* (tan x) (tan x)))) (log1p (- 1.0 (* (tan x) (tan x)))) (- (* (tan x) (tan x))) (- (* (tan x) (tan x))) (- (* (tan x) (tan x))) (exp (- 1.0 (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (pow (- 1.0 (* (tan x) (tan x))) 3) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (fma 1.0 1.0 (* (tan x) (+ (pow (tan x) 3) (* 1.0 (tan x))))) (- (* (tan x) (tan x))) (fma 1.0 1.0 (* (- (pow (tan x) 3)) (tan x))) (fma (tan x) (tan x) 1.0) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (- (* (tan x) (tan x))) (expm1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log1p (/ (- 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))))) (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 (fma (tan x) (tan x) 1.0)) (/ (tan x) (/ (fma (tan x) (tan x) 1.0) (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))))) (hypot (tan x) (sqrt 1.0))) (/ (/ (cbrt (- 1.0 (* (tan x) (tan x)))) 1) (hypot (tan x) (sqrt 1.0))) (* (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)))) (hypot (tan x) (sqrt 1.0))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (hypot (tan x) (sqrt 1.0))) (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (fma (tan x) (tan x) 1.0)) (/ 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))))) (* (/ 2 (hypot (tan x) (sqrt 1.0))) 1/2) (/ (- 1.0 (* (tan x) (tan x))) (hypot (tan x) (sqrt 1.0))) 1 (/ (- 1.0 (* (tan x) (tan x))) (fma (tan x) (tan x) 1.0)) (/ (+ (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)) (hypot (tan x) (sqrt 1.0))) (/ (- (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)))) (/ (fma (tan x) (tan x) 1.0) (- 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))) (hypot (tan x) (sqrt 1.0))) (- 1.0 (* (tan x) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (fma (tan x) (tan x) 1.0) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (fma (tan x) (tan x) 1.0) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (fma (pow (tan x) 6) 1 (pow 1.0 3))) (/ (- 1.0 (* (tan x) (tan x))) (fma 1.0 1.0 (* (- (pow (tan x) 3)) (tan x)))) (* (fma 1.0 1.0 (* (tan x) (+ (pow (tan x) 3) (* 1.0 (tan x))))) (+ 1.0 (* (tan x) (tan x)))) (* (fma (tan x) (tan x) 1.0) (+ 1.0 (* (tan x) (tan x)))) (fma x x (fma 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)) (fma x x (fma 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 (fma (pow x 4) 2/3 (pow x 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (fma (pow x 4) 0.6666666666666669 (- 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)) 0.584 * * * [progress]: adding candidates to table 0.853 * * [progress]: iteration 2 / 4 0.853 * * * [progress]: picking best candidate 0.885 * * * * [pick]: Picked # 0.885 * * * [progress]: localizing error 0.897 * * * [progress]: generating rewritten candidates 0.897 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.898 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 0.904 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 0.909 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.914 * * * [progress]: generating series expansions 0.914 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.914 * [approximate]: Taking taylor expansion of (log1p (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0))) in (x) around 0 0.914 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0))) in x 0.914 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)))) 0.914 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0))) in x 0.914 * [taylor]: Taking taylor expansion of 1 in x 0.914 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.915 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.915 * [taylor]: Taking taylor expansion of (tan x) in x 0.915 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.915 * [taylor]: Taking taylor expansion of (sin x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (cos x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.916 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.916 * [taylor]: Taking taylor expansion of (tan x) in x 0.916 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.916 * [taylor]: Taking taylor expansion of (sin x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (cos x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0))) in x 0.918 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)))) 0.918 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0))) in x 0.918 * [taylor]: Taking taylor expansion of 1 in x 0.918 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.918 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.918 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.918 * [taylor]: Taking taylor expansion of (tan x) in x 0.918 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.918 * [taylor]: Taking taylor expansion of (sin x) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (cos x) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.919 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.919 * [taylor]: Taking taylor expansion of (tan x) in x 0.919 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.919 * [taylor]: Taking taylor expansion of (sin x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (cos x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.979 * [approximate]: Taking taylor expansion of (log1p (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0))) in (x) around 0 0.979 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0))) in x 0.979 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)))) 0.979 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0))) in x 0.979 * [taylor]: Taking taylor expansion of 1 in x 0.979 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.979 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.979 * [taylor]: Taking taylor expansion of 1.0 in x 0.979 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.979 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.979 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.979 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.980 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.980 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.980 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.980 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0))) in x 0.983 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)))) 0.983 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0))) in x 0.983 * [taylor]: Taking taylor expansion of 1 in x 0.983 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.983 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) 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 0.983 * [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 (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.984 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.984 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.984 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.984 * [taylor]: Taking taylor expansion of (sin (/ 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 (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 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 1.054 * [approximate]: Taking taylor expansion of (log1p (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0))) in (x) around 0 1.054 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0))) in x 1.054 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)))) 1.054 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0))) in x 1.054 * [taylor]: Taking taylor expansion of 1 in x 1.054 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.054 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.054 * [taylor]: Taking taylor expansion of 1.0 in x 1.054 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.054 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.054 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.054 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.054 * [taylor]: Taking taylor expansion of -1 in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.055 * [taylor]: Taking taylor expansion of -1 in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.055 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.055 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.055 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.055 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.055 * [taylor]: Taking taylor expansion of -1 in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.056 * [taylor]: Taking taylor expansion of -1 in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of 1.0 in x 1.058 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0))) in x 1.058 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)))) 1.058 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0))) in x 1.059 * [taylor]: Taking taylor expansion of 1 in x 1.059 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.059 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.059 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.059 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.059 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.059 * [taylor]: Taking taylor expansion of -1 in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.059 * [taylor]: Taking taylor expansion of -1 in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.060 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.060 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.060 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.060 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.060 * [taylor]: Taking taylor expansion of -1 in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.060 * [taylor]: Taking taylor expansion of -1 in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of 1.0 in x 1.128 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 1.128 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.128 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.128 * [taylor]: Taking taylor expansion of (tan x) in x 1.128 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.128 * [taylor]: Taking taylor expansion of (sin x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (cos x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.129 * [taylor]: Taking taylor expansion of (tan x) in x 1.129 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.129 * [taylor]: Taking taylor expansion of (sin x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (cos x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.142 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.142 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.142 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.142 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.142 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.143 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.143 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.143 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.150 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.150 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.150 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.151 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.151 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.151 * [taylor]: Taking taylor expansion of -1 in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.151 * [taylor]: Taking taylor expansion of -1 in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.151 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.151 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.151 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.151 * [taylor]: Taking taylor expansion of -1 in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.152 * [taylor]: Taking taylor expansion of -1 in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.159 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.159 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.159 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.159 * [taylor]: Taking taylor expansion of (tan x) in x 1.159 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.159 * [taylor]: Taking taylor expansion of (sin x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (cos x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.160 * [taylor]: Taking taylor expansion of (tan x) in x 1.160 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.160 * [taylor]: Taking taylor expansion of (sin x) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (cos x) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.173 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.173 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.173 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.173 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.173 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.174 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.174 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.174 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.182 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.182 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.182 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.182 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.182 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.182 * [taylor]: Taking taylor expansion of -1 in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.182 * [taylor]: Taking taylor expansion of -1 in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.183 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.183 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.183 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.191 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.191 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0 1.191 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.191 * [taylor]: Taking taylor expansion of 1.0 in x 1.191 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.191 * [taylor]: Taking taylor expansion of (tan x) in x 1.191 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.191 * [taylor]: Taking taylor expansion of (sin x) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.191 * [taylor]: Taking taylor expansion of (cos x) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.192 * [taylor]: Taking taylor expansion of (tan x) in x 1.192 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.192 * [taylor]: Taking taylor expansion of (sin x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of (cos x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.202 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 1.202 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.202 * [taylor]: Taking taylor expansion of 1.0 in x 1.202 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.202 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.202 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.202 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.203 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.203 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.203 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.214 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 1.214 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.214 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.214 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.214 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.215 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.215 * [taylor]: Taking taylor expansion of -1 in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.215 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.215 * [taylor]: Taking taylor expansion of -1 in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.215 * [taylor]: Taking taylor expansion of 1.0 in x 1.215 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.215 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.215 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.215 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.215 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.215 * [taylor]: Taking taylor expansion of -1 in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.216 * [taylor]: Taking taylor expansion of -1 in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.226 * * * [progress]: simplifying candidates 1.227 * [simplify]: Simplifying using # : (+ 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (expm1 (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (log1p (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (log (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (exp (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (* (cbrt (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (cbrt (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (* (* (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (sqrt (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (sqrt (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (expm1 (* (tan x) (tan x))) (log1p (* (tan 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)) (expm1 (* (tan x) (tan x))) (log1p (* (tan 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)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (tan x) (tan x)))) (fma (- (tan x)) (tan x) (* (tan x) (tan x))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (tan x) (tan x)))) (fma (- (tan x)) (tan x) (* (tan x) (tan x))) (fma 1 1.0 (- (* (tan x) (tan x)))) (fma (- (tan x)) (tan x) (* (tan x) (tan x))) (expm1 (- 1.0 (* (tan x) (tan x)))) (log1p (- 1.0 (* (tan x) (tan x)))) (- (* (tan x) (tan x))) (- (* (tan x) (tan x))) (- (* (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))) (- (+ (log 2.0) (* 0.33333333333333337 (pow x 4))) (+ (* 1.0 (pow x 2)) (* 2.0 (/ (pow x 4) (pow 2.0 2))))) (log (- (+ (* 1.0 (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))) 1) (/ (pow (sin x) 2) (* (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0) (pow (cos x) 2))))) (log (- (+ (* 1.0 (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))) 1) (/ (pow (sin x) 2) (* (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0) (pow (cos x) 2))))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- 1.0 (+ (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))) 1.232 * * [simplify]: iteration 0 : 246 enodes (cost 612 ) 1.237 * * [simplify]: iteration 1 : 827 enodes (cost 546 ) 1.256 * * [simplify]: iteration 2 : 3956 enodes (cost 530 ) 1.361 * * [simplify]: iteration 3 : 5001 enodes (cost 525 ) 1.363 * [simplify]: Simplified to: (+ 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)))) (log1p (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (log (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (exp (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (* (cbrt (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (cbrt (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (pow (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) 3) (sqrt (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (sqrt (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan 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)) (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan 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)) (fma (- 1) (* (tan x) (tan x)) (pow (cbrt 1.0) 3)) (* (tan x) (+ (- (tan x)) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (tan x) (+ (- (tan x)) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (tan x) (+ (- (tan x)) (tan x))) (expm1 (- 1.0 (* (tan x) (tan x)))) (log1p (- 1.0 (* (tan x) (tan x)))) (- (* (tan x) (tan x))) (- (* (tan x) (tan x))) (- (* (tan x) (tan x))) (exp (- 1.0 (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (pow (- 1.0 (* (tan x) (tan x))) 3) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (fma (pow (tan x) 6) (- 1) (pow 1.0 3)) (fma 1.0 (fma (tan x) (tan x) 1.0) (pow (tan x) 4)) (- (* (tan x) (tan x))) (fma (- 1) (pow (tan x) 4) (* 1.0 1.0)) (fma (tan x) (tan x) 1.0) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (- (* (tan x) (tan x))) (fma (pow x 4) 0.33333333333333337 (- (log 2.0) (fma 1.0 (pow x 2) (* 2.0 (/ (pow x 4) (pow 2.0 2)))))) (log1p (- (* 1.0 (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))) (/ (pow (sin x) 2) (* (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0) (pow (cos x) 2))))) (log1p (- (* 1.0 (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))) (/ (pow (sin x) 2) (* (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0) (pow (cos x) 2))))) (fma x x (fma 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)) (fma x x (fma 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 (fma (pow x 4) 2/3 (pow x 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 1.364 * * * [progress]: adding candidates to table 1.597 * * [progress]: iteration 3 / 4 1.597 * * * [progress]: picking best candidate 1.627 * * * * [pick]: Picked # 1.627 * * * [progress]: localizing error 1.638 * * * [progress]: generating rewritten candidates 1.638 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.643 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.649 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.661 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.671 * * * [progress]: generating series expansions 1.671 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.671 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.671 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.671 * [taylor]: Taking taylor expansion of (tan x) in x 1.672 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.672 * [taylor]: Taking taylor expansion of (sin x) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of (cos x) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.673 * [taylor]: Taking taylor expansion of (tan x) in x 1.673 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.673 * [taylor]: Taking taylor expansion of (sin x) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of (cos x) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.686 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.686 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.686 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.686 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.686 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.687 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.687 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.687 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.695 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.695 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.695 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.695 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.695 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.695 * [taylor]: Taking taylor expansion of -1 in x 1.695 * [taylor]: Taking taylor expansion of x in x 1.695 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.695 * [taylor]: Taking taylor expansion of -1 in x 1.695 * [taylor]: Taking taylor expansion of x in x 1.696 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.696 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.696 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.696 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.696 * [taylor]: Taking taylor expansion of -1 in x 1.696 * [taylor]: Taking taylor expansion of x in x 1.696 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.696 * [taylor]: Taking taylor expansion of -1 in x 1.696 * [taylor]: Taking taylor expansion of x in x 1.703 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.704 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in (x) around 0 1.704 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.704 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of (tan x) in x 1.705 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.705 * [taylor]: Taking taylor expansion of (sin x) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (cos x) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.709 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.709 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.709 * [taylor]: Taking taylor expansion of 1.0 in x 1.710 * [taylor]: Taking taylor expansion of (tan x) in x 1.710 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.710 * [taylor]: Taking taylor expansion of (sin x) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.710 * [taylor]: Taking taylor expansion of (cos x) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.719 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in (x) around 0 1.719 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.719 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.719 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.719 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.720 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.720 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.721 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.721 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.721 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.731 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in (x) around 0 1.731 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.731 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.731 * [taylor]: Taking taylor expansion of 1.0 in x 1.732 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.732 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.732 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.732 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.732 * [taylor]: Taking taylor expansion of -1 in x 1.732 * [taylor]: Taking taylor expansion of x in x 1.732 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.732 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.732 * [taylor]: Taking taylor expansion of -1 in x 1.732 * [taylor]: Taking taylor expansion of x in x 1.733 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.733 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.733 * [taylor]: Taking taylor expansion of 1.0 in x 1.734 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.734 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.734 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.734 * [taylor]: Taking taylor expansion of -1 in x 1.734 * [taylor]: Taking taylor expansion of x in x 1.734 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.734 * [taylor]: Taking taylor expansion of -1 in x 1.734 * [taylor]: Taking taylor expansion of x in x 1.744 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.744 * [approximate]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in (x) around 0 1.744 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in x 1.744 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.744 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.744 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [taylor]: Taking taylor expansion of (tan x) in x 1.745 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.745 * [taylor]: Taking taylor expansion of (sin x) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [taylor]: Taking taylor expansion of (cos x) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.746 * [taylor]: Taking taylor expansion of (tan x) in x 1.746 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.746 * [taylor]: Taking taylor expansion of (sin x) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of (cos x) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.747 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.747 * [taylor]: Taking taylor expansion of 1.0 in x 1.747 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in x 1.747 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.747 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.747 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [taylor]: Taking taylor expansion of (tan x) in x 1.748 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.748 * [taylor]: Taking taylor expansion of (sin x) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of (cos x) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.749 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.749 * [taylor]: Taking taylor expansion of (tan x) in x 1.749 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.749 * [taylor]: Taking taylor expansion of (sin x) in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [taylor]: Taking taylor expansion of (cos x) in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.750 * [taylor]: Taking taylor expansion of 1.0 in x 1.778 * [approximate]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in (x) around 0 1.778 * [taylor]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in x 1.778 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.778 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.779 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.779 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.779 * [taylor]: Taking taylor expansion of 1.0 in x 1.780 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.780 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.780 * [taylor]: Taking taylor expansion of 1.0 in x 1.781 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.781 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.781 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.781 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.782 * [taylor]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in x 1.782 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.782 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.782 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.782 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.782 * [taylor]: Taking taylor expansion of 1.0 in x 1.783 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.783 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.783 * [taylor]: Taking taylor expansion of 1.0 in x 1.784 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.784 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.784 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.784 * [taylor]: Taking taylor expansion of x in x 1.784 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.784 * [taylor]: Taking taylor expansion of x in x 1.813 * [approximate]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in (x) around 0 1.813 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in x 1.813 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.813 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.813 * [taylor]: Taking taylor expansion of 1.0 in x 1.813 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.814 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.814 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.814 * [taylor]: Taking taylor expansion of -1 in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.814 * [taylor]: Taking taylor expansion of -1 in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.814 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.815 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.815 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.815 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.815 * [taylor]: Taking taylor expansion of -1 in x 1.815 * [taylor]: Taking taylor expansion of x in x 1.815 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.815 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.815 * [taylor]: Taking taylor expansion of -1 in x 1.815 * [taylor]: Taking taylor expansion of x in x 1.815 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.815 * [taylor]: Taking taylor expansion of 1.0 in x 1.816 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in x 1.816 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.816 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.816 * [taylor]: Taking taylor expansion of 1.0 in x 1.817 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.817 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.817 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.817 * [taylor]: Taking taylor expansion of -1 in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.817 * [taylor]: Taking taylor expansion of -1 in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.818 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.818 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.818 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.818 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.818 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.818 * [taylor]: Taking taylor expansion of -1 in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.818 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.818 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.818 * [taylor]: Taking taylor expansion of -1 in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.819 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.819 * [taylor]: Taking taylor expansion of 1.0 in x 1.843 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.844 * [approximate]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in (x) around 0 1.844 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.844 * [taylor]: Taking taylor expansion of (tan x) in x 1.844 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.844 * [taylor]: Taking taylor expansion of (sin x) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [taylor]: Taking taylor expansion of (cos x) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.845 * [taylor]: Taking taylor expansion of 1.0 in x 1.845 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.845 * [taylor]: Taking taylor expansion of (tan x) in x 1.845 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.846 * [taylor]: Taking taylor expansion of (sin x) in x 1.846 * [taylor]: Taking taylor expansion of x in x 1.846 * [taylor]: Taking taylor expansion of (cos x) in x 1.846 * [taylor]: Taking taylor expansion of x in x 1.846 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.846 * [taylor]: Taking taylor expansion of 1.0 in x 1.853 * [approximate]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in (x) around 0 1.853 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.853 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.853 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.854 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.854 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.854 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.854 * [taylor]: Taking taylor expansion of 1.0 in x 1.855 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.855 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.855 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.855 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.855 * [taylor]: Taking taylor expansion of x in x 1.855 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.855 * [taylor]: Taking taylor expansion of x in x 1.856 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.856 * [taylor]: Taking taylor expansion of 1.0 in x 1.865 * [approximate]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in (x) around 0 1.865 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.865 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.865 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.865 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.865 * [taylor]: Taking taylor expansion of -1 in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.865 * [taylor]: Taking taylor expansion of -1 in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.866 * [taylor]: Taking taylor expansion of 1.0 in x 1.866 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.866 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.866 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.866 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.866 * [taylor]: Taking taylor expansion of -1 in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.867 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.867 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.867 * [taylor]: Taking taylor expansion of -1 in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.867 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.867 * [taylor]: Taking taylor expansion of 1.0 in x 1.875 * * * [progress]: simplifying candidates 1.881 * [simplify]: Simplifying using # : (expm1 (* (tan x) (tan x))) (log1p (* (tan 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)) (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x)))))) (fma (- (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x))))) (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (sqrt (tan x)) (sqrt (tan x))))) (fma (- (sqrt (tan x))) (sqrt (tan x)) (* (sqrt (tan x)) (sqrt (tan x)))) (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (tan x) 1))) (fma (- (tan x)) 1 (* (tan x) 1)) (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x)))))) (fma (- (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x))))) (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (sqrt (tan x)) (sqrt (tan x))))) (fma (- (sqrt (tan x))) (sqrt (tan x)) (* (sqrt (tan x)) (sqrt (tan x)))) (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (tan x) 1))) (fma (- (tan x)) 1 (* (tan x) 1)) (fma (sqrt (sqrt 1.0)) (sqrt (sqrt 1.0)) (- (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x)))))) (fma (- (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x))))) (fma (sqrt (sqrt 1.0)) (sqrt (sqrt 1.0)) (- (* (sqrt (tan x)) (sqrt (tan x))))) (fma (- (sqrt (tan x))) (sqrt (tan x)) (* (sqrt (tan x)) (sqrt (tan x)))) (fma (sqrt (sqrt 1.0)) (sqrt (sqrt 1.0)) (- (* (tan x) 1))) (fma (- (tan x)) 1 (* (tan x) 1)) (fma (sqrt 1) (sqrt 1.0) (- (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x)))))) (fma (- (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x))))) (fma (sqrt 1) (sqrt 1.0) (- (* (sqrt (tan x)) (sqrt (tan x))))) (fma (- (sqrt (tan x))) (sqrt (tan x)) (* (sqrt (tan x)) (sqrt (tan x)))) (fma (sqrt 1) (sqrt 1.0) (- (* (tan x) 1))) (fma (- (tan x)) 1 (* (tan x) 1)) (fma (sqrt (sqrt 1.0)) (sqrt (sqrt 1.0)) (- (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x)))))) (fma (- (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x))))) (fma (sqrt (sqrt 1.0)) (sqrt (sqrt 1.0)) (- (* (sqrt (tan x)) (sqrt (tan x))))) (fma (- (sqrt (tan x))) (sqrt (tan x)) (* (sqrt (tan x)) (sqrt (tan x)))) (fma (sqrt (sqrt 1.0)) (sqrt (sqrt 1.0)) (- (* (tan x) 1))) (fma (- (tan x)) 1 (* (tan x) 1)) (fma 1 (sqrt 1.0) (- (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x)))))) (fma (- (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x))))) (fma 1 (sqrt 1.0) (- (* (sqrt (tan x)) (sqrt (tan x))))) (fma (- (sqrt (tan x))) (sqrt (tan x)) (* (sqrt (tan x)) (sqrt (tan x)))) (fma 1 (sqrt 1.0) (- (* (tan x) 1))) (fma (- (tan x)) 1 (* (tan x) 1)) (expm1 (- (sqrt 1.0) (tan x))) (log1p (- (sqrt 1.0) (tan x))) (- (tan x)) (- (tan x)) (- (tan x)) (- (tan x)) (- (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 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(fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (fma (tan x) (sqrt 1.0) 1.0) (* (- (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))))) (expm1 (+ (sqrt 1.0) (tan x))) (log1p (+ (sqrt 1.0) (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))) (fma 1.0 (sqrt 1.0) (pow (tan x) 3)) (fma (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)) (fma x x (fma 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))) (- (- 1.0 (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)))) (fma 1/3 (pow x 3) (+ (sqrt 1.0) x)) (+ (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x))) 1.948 * * * [progress]: adding candidates to table 2.248 * * [progress]: iteration 4 / 4 2.248 * * * [progress]: picking best candidate 2.279 * * * * [pick]: Picked # 2.279 * * * [progress]: localizing error 2.292 * * * [progress]: generating rewritten candidates 2.292 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.295 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.298 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.300 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 2.304 * * * [progress]: generating series expansions 2.304 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.304 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 2.304 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.304 * [taylor]: Taking taylor expansion of (sin x) in x 2.304 * [taylor]: Taking taylor expansion of x in x 2.305 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.305 * [taylor]: Taking taylor expansion of (sin x) in x 2.305 * [taylor]: Taking taylor expansion of x in x 2.312 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 2.312 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.312 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.312 * [taylor]: Taking taylor expansion of x in x 2.313 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.313 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.313 * [taylor]: Taking taylor expansion of x in x 2.317 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 2.317 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.317 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.317 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.317 * [taylor]: Taking taylor expansion of -1 in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.318 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.318 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.318 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.318 * [taylor]: Taking taylor expansion of -1 in x 2.318 * [taylor]: Taking taylor expansion of x in x 2.322 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.322 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 2.322 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.322 * [taylor]: Taking taylor expansion of (sin x) in x 2.322 * [taylor]: Taking taylor expansion of x in x 2.323 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 2.323 * [taylor]: Taking taylor expansion of (sin x) in x 2.323 * [taylor]: Taking taylor expansion of x in x 2.330 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 2.330 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.330 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.330 * [taylor]: Taking taylor expansion of x in x 2.331 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 2.331 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.335 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 2.335 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.336 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.336 * [taylor]: Taking taylor expansion of -1 in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 2.336 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.336 * [taylor]: Taking taylor expansion of -1 in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.341 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.341 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 2.341 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 2.341 * [taylor]: Taking taylor expansion of (cos x) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 2.341 * [taylor]: Taking taylor expansion of (cos x) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.350 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 2.350 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 2.350 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.350 * [taylor]: Taking taylor expansion of x in x 2.350 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 2.350 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.350 * [taylor]: Taking taylor expansion of x in x 2.355 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 2.355 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 2.355 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.355 * [taylor]: Taking taylor expansion of -1 in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.355 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 2.355 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.355 * [taylor]: Taking taylor expansion of -1 in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.360 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.360 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 2.360 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 2.360 * [taylor]: Taking taylor expansion of (cos x) in x 2.360 * [taylor]: Taking taylor expansion of x in x 2.360 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 2.360 * [taylor]: Taking taylor expansion of (cos x) in x 2.360 * [taylor]: Taking taylor expansion of x in x 2.366 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 2.366 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 2.366 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.366 * [taylor]: Taking taylor expansion of x in x 2.367 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 2.367 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.371 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 2.371 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 2.371 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.371 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.371 * [taylor]: Taking taylor expansion of -1 in x 2.371 * [taylor]: Taking taylor expansion of x in x 2.372 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 2.372 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.372 * [taylor]: Taking taylor expansion of -1 in x 2.372 * [taylor]: Taking taylor expansion of x in x 2.376 * * * [progress]: simplifying candidates 2.377 * [simplify]: Simplifying using # : (expm1 (pow (sin x) 2)) (log1p (pow (sin x) 2)) (* (log (sin x)) 2) (* (log (sin x)) 2) (* 1 2) (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (pow (sin x) 1) (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) (pow (cbrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow 1 2) (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (* (* (pow (sin x) 2) (pow (sin x) 2)) (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (expm1 (pow (sin x) 2)) (log1p (pow (sin x) 2)) (* (log (sin x)) 2) (* (log (sin x)) 2) (* 1 2) (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (pow (sin x) 1) (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) (pow (cbrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow 1 2) (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (* (* (pow (sin x) 2) (pow (sin x) 2)) (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (expm1 (pow (cos x) 2)) (log1p (pow (cos x) 2)) (* (log (cos x)) 2) (* (log (cos x)) 2) (* 1 2) (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) (pow (cbrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow 1 2) (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (* (* (pow (cos x) 2) (pow (cos x) 2)) (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (expm1 (pow (cos x) 2)) (log1p (pow (cos x) 2)) (* (log (cos x)) 2) (* (log (cos x)) 2) (* 1 2) (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) (pow (cbrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow 1 2) (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (* (* (pow (cos x) 2) (pow (cos x) 2)) (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) 2.381 * * [simplify]: iteration 0 : 146 enodes (cost 308 ) 2.385 * * [simplify]: iteration 1 : 487 enodes (cost 260 ) 2.394 * * [simplify]: iteration 2 : 1671 enodes (cost 260 ) 2.437 * * [simplify]: iteration 3 : 5001 enodes (cost 256 ) 2.439 * [simplify]: Simplified to: (expm1 (pow (sin x) 2)) (log1p (pow (sin x) 2)) (log (pow (sin x) 2)) (log (pow (sin x) 2)) 2 (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (sin x) (pow (cbrt (sin x)) 4) (pow (cbrt (sin x)) 2) (sin x) (sin x) 1 (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (pow (sin x) 6) (fabs (sin x)) (fabs (sin x)) (sin x) (sin x) (expm1 (pow (sin x) 2)) (log1p (pow (sin x) 2)) (log (pow (sin x) 2)) (log (pow (sin x) 2)) 2 (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (sin x) (pow (cbrt (sin x)) 4) (pow (cbrt (sin x)) 2) (sin x) (sin x) 1 (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (pow (sin x) 6) (fabs (sin x)) (fabs (sin x)) (sin x) (sin x) (expm1 (pow (cos x) 2)) (log1p (pow (cos x) 2)) (log (pow (cos x) 2)) (log (pow (cos x) 2)) 2 (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (cos x) (pow (cbrt (cos x)) 4) (pow (cbrt (cos x)) 2) (cos x) (cos x) 1 (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (cos x) (cos x) (expm1 (pow (cos x) 2)) (log1p (pow (cos x) 2)) (log (pow (cos x) 2)) (log (pow (cos x) 2)) 2 (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (cos x) (pow (cbrt (cos x)) 4) (pow (cbrt (cos x)) 2) (cos x) (cos x) 1 (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (cos x) (cos x) (fma x x (- (* 2/45 (pow x 6)) (* 1/3 (pow x 4)))) (pow (sin x) 2) (pow (sin x) 2) (fma x x (- (* 2/45 (pow x 6)) (* 1/3 (pow x 4)))) (pow (sin x) 2) (pow (sin x) 2) (fma (pow x 4) 1/3 (- 1 (pow x 2))) (pow (cos x) 2) (pow (cos x) 2) (fma (pow x 4) 1/3 (- 1 (pow x 2))) (pow (cos x) 2) (pow (cos x) 2) 2.439 * * * [progress]: adding candidates to table 2.661 * [progress]: [Phase 3 of 3] Extracting. 2.662 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 2.665 * * * [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) 2.665 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # # # # # #) 2.712 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # # # #) 2.750 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # # # # # # # # # #) 2.793 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # #) 2.810 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) from (# # # # # # # # # # # # #) 2.852 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 2.893 * * * [regime]: Found split indices: #