0.866 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.277 * * * [progress]: [2/2] Setting up program. 0.281 * [progress]: [Phase 2 of 3] Improving. 0.283 * [simplify]: Simplifying using # : (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.288 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 0.290 * * [simplify]: iteration 1 : 22 enodes (cost 9 ) 0.291 * * [simplify]: iteration 2 : 29 enodes (cost 9 ) 0.293 * * [simplify]: iteration 3 : 37 enodes (cost 9 ) 0.294 * * [simplify]: iteration 4 : 43 enodes (cost 9 ) 0.296 * * [simplify]: iteration 5 : 45 enodes (cost 9 ) 0.297 * * [simplify]: iteration 6 : 45 enodes (cost 9 ) 0.298 * [simplify]: Simplified to: (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.299 * * [progress]: iteration 1 / 4 0.299 * * * [progress]: picking best candidate 0.301 * * * * [pick]: Picked # 0.301 * * * [progress]: localizing error 0.311 * * * [progress]: generating rewritten candidates 0.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.318 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.323 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.329 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.336 * * * [progress]: generating series expansions 0.337 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.340 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.341 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.341 * [taylor]: Taking taylor expansion of (tan x) in x 0.343 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.343 * [taylor]: Taking taylor expansion of (sin x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (cos x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.345 * [taylor]: Taking taylor expansion of (tan x) in x 0.345 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.345 * [taylor]: Taking taylor expansion of (sin x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (cos x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.376 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.376 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.376 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.376 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.378 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.378 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.378 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.386 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.386 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.386 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.386 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.387 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.387 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.387 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.394 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.394 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.395 * [taylor]: Taking taylor expansion of (tan x) in x 0.395 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.395 * [taylor]: Taking taylor expansion of (sin x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (cos x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.396 * [taylor]: Taking taylor expansion of (tan x) in x 0.396 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.396 * [taylor]: Taking taylor expansion of (sin x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (cos x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.410 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.410 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.410 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.410 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.410 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.411 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.411 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.411 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.419 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.419 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.419 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.419 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.419 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.420 * [taylor]: Taking taylor expansion of -1 in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.420 * [taylor]: Taking taylor expansion of -1 in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.420 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.420 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.420 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.428 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.429 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.429 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.429 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.429 * [taylor]: Taking taylor expansion of (tan x) in x 0.429 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.429 * [taylor]: Taking taylor expansion of (sin x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (cos x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.430 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.430 * [taylor]: Taking taylor expansion of (tan x) in x 0.430 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.430 * [taylor]: Taking taylor expansion of (sin x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (cos x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.432 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.432 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.432 * [taylor]: Taking taylor expansion of 1.0 in x 0.432 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.432 * [taylor]: Taking taylor expansion of (tan x) in x 0.432 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.432 * [taylor]: Taking taylor expansion of (sin x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (cos x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.433 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.433 * [taylor]: Taking taylor expansion of (tan x) in x 0.433 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.433 * [taylor]: Taking taylor expansion of (sin x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (cos x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.455 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.455 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.455 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.456 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.456 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.456 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.456 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.458 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.458 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.458 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.458 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.459 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.459 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.459 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.459 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.491 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.491 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.491 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.491 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.491 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.491 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.491 * [taylor]: Taking taylor expansion of -1 in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.492 * [taylor]: Taking taylor expansion of -1 in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.492 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.492 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.492 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.492 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.492 * [taylor]: Taking taylor expansion of -1 in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.493 * [taylor]: Taking taylor expansion of -1 in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.495 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.495 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.495 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.496 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.496 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.496 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.496 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.496 * [taylor]: Taking taylor expansion of -1 in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.496 * [taylor]: Taking taylor expansion of -1 in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.524 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.524 * [taylor]: Taking taylor expansion of (tan x) in x 0.524 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.524 * [taylor]: Taking taylor expansion of (sin x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (cos x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.525 * [taylor]: Taking taylor expansion of (tan x) in x 0.525 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.525 * [taylor]: Taking taylor expansion of (sin x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (cos x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.533 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.533 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.533 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.533 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.534 * [taylor]: Taking taylor expansion of 1.0 in x 0.534 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.534 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.534 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.534 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.545 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.545 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.545 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.545 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.545 * [taylor]: Taking taylor expansion of -1 in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.545 * [taylor]: Taking taylor expansion of -1 in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.546 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.546 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.546 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.546 * [taylor]: Taking taylor expansion of -1 in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.547 * [taylor]: Taking taylor expansion of -1 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.557 * * * [progress]: simplifying candidates 0.562 * [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)) (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)))) (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))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 0.569 * * [simplify]: iteration 0 : 338 enodes (cost 1007 ) 0.576 * * [simplify]: iteration 1 : 1243 enodes (cost 917 ) 0.602 * * [simplify]: iteration 2 : 5001 enodes (cost 882 ) 0.607 * [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)) (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 (* (tan x) (tan x)) (fma (tan x) (tan x) 1.0) (* 1.0 1.0)) (+ 1.0 (* (tan x) (tan x)))) (* (fma (tan x) (tan x) 1.0) (+ 1.0 (* (tan x) (tan 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 (* (tan x) (tan x)) (fma (tan x) (tan x) 1.0) (* 1.0 1.0)) (- (* (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))) (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)) (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)) (- 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))) 0.608 * * * [progress]: adding candidates to table 0.862 * * [progress]: iteration 2 / 4 0.863 * * * [progress]: picking best candidate 0.887 * * * * [pick]: Picked # 0.887 * * * [progress]: localizing error 0.897 * * * [progress]: generating rewritten candidates 0.897 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.900 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 0.903 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.908 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.923 * * * [progress]: generating series expansions 0.923 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.923 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.923 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.923 * [taylor]: Taking taylor expansion of (tan x) in x 0.923 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.923 * [taylor]: Taking taylor expansion of (sin x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (cos x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.924 * [taylor]: Taking taylor expansion of (tan x) in x 0.925 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.925 * [taylor]: Taking taylor expansion of (sin x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (cos x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.937 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.938 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.938 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.938 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.938 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.938 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.938 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.938 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.946 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.946 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.946 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.946 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.946 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.946 * [taylor]: Taking taylor expansion of -1 in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.947 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.947 * [taylor]: Taking taylor expansion of -1 in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.947 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.947 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.947 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.947 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.947 * [taylor]: Taking taylor expansion of -1 in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.947 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.947 * [taylor]: Taking taylor expansion of -1 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.955 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 0.955 * [approximate]: Taking taylor expansion of (pow (tan x) 6) in (x) around 0 0.955 * [taylor]: Taking taylor expansion of (pow (tan x) 6) in x 0.955 * [taylor]: Taking taylor expansion of (tan x) in x 0.955 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.955 * [taylor]: Taking taylor expansion of (sin x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (cos x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (pow (tan x) 6) in x 0.956 * [taylor]: Taking taylor expansion of (tan x) in x 0.956 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.956 * [taylor]: Taking taylor expansion of (sin x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (cos x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.974 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 6) in (x) around 0 0.974 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 6) in x 0.974 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.974 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.974 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 6) in x 0.975 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.975 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.975 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.993 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 6) in (x) around 0 0.993 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 6) in x 0.993 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.993 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.993 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.993 * [taylor]: Taking taylor expansion of -1 in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.994 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.994 * [taylor]: Taking taylor expansion of -1 in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 6) in x 0.994 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.994 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.994 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.994 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.994 * [taylor]: Taking taylor expansion of -1 in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.994 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.994 * [taylor]: Taking taylor expansion of -1 in x 0.994 * [taylor]: Taking taylor expansion of x in x 1.016 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.016 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.016 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.016 * [taylor]: Taking taylor expansion of (tan x) in x 1.016 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.016 * [taylor]: Taking taylor expansion of (sin x) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (cos x) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.017 * [taylor]: Taking taylor expansion of (tan x) in x 1.017 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.017 * [taylor]: Taking taylor expansion of (sin x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (cos x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.030 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.030 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.030 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.030 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.030 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.031 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.031 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.031 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.038 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.038 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.038 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.038 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.038 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.038 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.038 * [taylor]: Taking taylor expansion of -1 in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.039 * [taylor]: Taking taylor expansion of -1 in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.039 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.039 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.039 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.039 * [taylor]: Taking taylor expansion of -1 in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.040 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.040 * [taylor]: Taking taylor expansion of -1 in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.047 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.047 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 1.047 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 1.047 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.047 * [taylor]: Taking taylor expansion of 1.0 in x 1.047 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.047 * [taylor]: Taking taylor expansion of (tan x) in x 1.047 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.047 * [taylor]: Taking taylor expansion of (sin x) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (cos x) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.048 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.048 * [taylor]: Taking taylor expansion of (tan x) in x 1.048 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.048 * [taylor]: Taking taylor expansion of (sin x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (cos x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of 1.0 in x 1.050 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 1.050 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.050 * [taylor]: Taking taylor expansion of 1.0 in x 1.050 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.050 * [taylor]: Taking taylor expansion of (tan x) in x 1.050 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.050 * [taylor]: Taking taylor expansion of (sin x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (cos x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.050 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.050 * [taylor]: Taking taylor expansion of (tan x) in x 1.051 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.051 * [taylor]: Taking taylor expansion of (sin x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (cos x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 1.072 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.072 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.072 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.072 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.072 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.073 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.073 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.073 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.073 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.075 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.075 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.075 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.075 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.076 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.076 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.076 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 1.107 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.107 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.107 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.107 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.107 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.107 * [taylor]: Taking taylor expansion of -1 in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.108 * [taylor]: Taking taylor expansion of -1 in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.108 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.108 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.108 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.108 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.108 * [taylor]: Taking taylor expansion of -1 in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.109 * [taylor]: Taking taylor expansion of -1 in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.110 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.110 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.110 * [taylor]: Taking taylor expansion of 1.0 in x 1.110 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.110 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.110 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.110 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.110 * [taylor]: Taking taylor expansion of -1 in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.111 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.111 * [taylor]: Taking taylor expansion of -1 in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.111 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.111 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.111 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.111 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.111 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.111 * [taylor]: Taking taylor expansion of -1 in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.112 * [taylor]: Taking taylor expansion of -1 in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * * * [progress]: simplifying candidates 1.141 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (tan x) 6))) (log1p (cbrt (pow (tan x) 6))) (log (cbrt (pow (tan x) 6))) (exp (cbrt (pow (tan x) 6))) (cbrt (pow (* (cbrt (tan x)) (cbrt (tan x))) 6)) (cbrt (pow (cbrt (tan x)) 6)) (cbrt (pow (sqrt (tan x)) 6)) (cbrt (pow (sqrt (tan x)) 6)) (cbrt (pow 1 6)) (cbrt (pow (tan x) 6)) (cbrt (* (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) 6)))) (cbrt (cbrt (pow (tan x) 6))) (cbrt (sqrt (pow (tan x) 6))) (cbrt (sqrt (pow (tan x) 6))) (cbrt 1) (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) (/ 6 2))) (cbrt (pow (tan x) (/ 6 2))) (* (cbrt (cbrt (pow (tan x) 6))) (cbrt (cbrt (pow (tan x) 6)))) (cbrt (cbrt (pow (tan x) 6))) (* (* (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) 6))) (cbrt (pow (tan x) 6))) (sqrt (cbrt (pow (tan x) 6))) (sqrt (cbrt (pow (tan x) 6))) (expm1 (pow (tan x) 6)) (log1p (pow (tan x) 6)) (* (log (tan x)) 6) (* (log (tan x)) 6) (* 1 6) (pow (tan x) (* (cbrt 6) (cbrt 6))) (pow (tan x) (sqrt 6)) (pow (tan x) 1) (pow (* (cbrt (tan x)) (cbrt (tan x))) 6) (pow (cbrt (tan x)) 6) (pow (sqrt (tan x)) 6) (pow (sqrt (tan x)) 6) (pow 1 6) (pow (tan x) 6) (log (pow (tan x) 6)) (exp (pow (tan x) 6)) (* (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) 6))) (cbrt (pow (tan x) 6)) (* (* (pow (tan x) 6) (pow (tan x) 6)) (pow (tan x) 6)) (sqrt (pow (tan x) 6)) (sqrt (pow (tan x) 6)) (pow (tan x) (/ 6 2)) (pow (tan x) (/ 6 2)) (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 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (- (log (- 1.0 (* (tan x) (tan x)))) (log (+ 1.0 (cbrt (pow (tan x) 6))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (* (* (+ 1.0 (cbrt (pow (tan x) 6))) (+ 1.0 (cbrt (pow (tan x) 6)))) (+ 1.0 (cbrt (pow (tan x) 6))))) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (* (* (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (- (- 1.0 (* (tan x) (tan x)))) (- (+ 1.0 (cbrt (pow (tan x) 6)))) (/ 1.0 (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (* (tan x) (tan x)) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ 1 (* (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ 1 (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ 1 1) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ 1 1) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (+ (sqrt 1.0) (tan x)) 1) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (+ (sqrt 1.0) (tan x)) 1) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ 1 (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (+ 1.0 (cbrt (pow (tan x) 6))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (- 1.0 (* (tan x) (tan x))) 1) (/ (- 1.0 (* (tan x) (tan x))) 1) (/ (+ 1.0 (cbrt (pow (tan x) 6))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (cbrt (pow (tan x) 6))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (cbrt (pow (tan x) 6))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (cbrt (pow (tan x) 6))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (cbrt (pow (tan x) 6)) 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (* 1.0 1.0) (* (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) 6))))) (* (+ 1.0 (cbrt (pow (tan x) 6))) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x)))))) (* (+ 1.0 (cbrt (pow (tan x) 6))) (+ 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)) (+ (* 2 (pow x 8)) (+ (pow x 6) (* 37/15 (pow x 10)))) (/ (pow (sin x) 6) (pow (cos x) 6)) (/ (pow (sin x) 6) (pow (cos x) 6)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 1.148 * * [simplify]: iteration 0 : 415 enodes (cost 955 ) 1.156 * * [simplify]: iteration 1 : 1674 enodes (cost 883 ) 1.191 * * [simplify]: iteration 2 : 5002 enodes (cost 844 ) 1.196 * [simplify]: Simplified to: (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) (* 2 (log (tan x))) (exp (pow (tan x) 2)) (cbrt (pow (* (cbrt (tan x)) (cbrt (tan x))) 6)) (cbrt (* (tan x) (tan x))) (tan x) (tan x) 1 (pow (tan x) 2) (cbrt (pow (* (cbrt (tan x)) (cbrt (tan x))) 6)) (cbrt (* (tan x) (tan x))) (cbrt (sqrt (pow (tan x) 6))) (cbrt (sqrt (pow (tan x) 6))) 1 (pow (tan x) 2) (tan x) (tan x) (pow (cbrt (tan x)) 4) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (expm1 (pow (tan x) 6)) (log1p (pow (tan x) 6)) (log (pow (tan x) 6)) (log (pow (tan x) 6)) 6 (pow (tan x) (* (cbrt 6) (cbrt 6))) (pow (tan x) (sqrt 6)) (tan x) (pow (tan x) 4) (pow (tan x) 2) (pow (tan x) 3) (pow (tan x) 3) 1 (pow (tan x) 6) (log (pow (tan x) 6)) (exp (pow (tan x) 6)) (pow (tan x) 4) (pow (tan x) 2) (pow (pow (tan x) 6) 3) (sqrt (pow (tan x) 6)) (sqrt (pow (tan x) 6)) (pow (tan x) 3) (pow (tan x) 3) (expm1 (* (tan x) (tan x))) (log1p (* (tan x) (tan x))) 2 (pow (tan x) 2) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (pow (tan x) 2)) (pow (tan x) 6) (pow (cbrt (tan x)) 4) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (cbrt (* (tan x) (tan x))) (tan x) (tan x) 1 (pow (tan x) 2) (tan x) (tan x) 2 (* (tan x) (cbrt (* (tan x) (tan x)))) (pow (tan x) 3/2) (tan x) (pow (cbrt (tan x)) 4) (pow (tan x) 3/2) (pow (tan x) 2) (* (tan x) (sin x)) (* (tan x) (sin x)) (expm1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (log1p (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6)))) 3) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6)))) 3) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6))))) (+ (- 1.0) (pow (tan x) 2)) (- (+ 1.0 (pow (tan x) 2))) (/ 1.0 (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (* (tan x) (tan x)) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (cbrt (pow (tan x) 6)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (cbrt (pow (tan x) 6)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ 1 (* (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ 1 (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6)))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (cbrt (pow (tan x) 6)))) (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (cbrt (pow (tan x) 6)))) (/ 1 (+ 1.0 (cbrt (pow (tan x) 6)))) (/ (+ 1.0 (cbrt (pow (tan x) 6))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))) (cbrt (+ 1.0 (cbrt (pow (tan x) 6)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (cbrt (pow (tan x) 6))))) (- 1.0 (pow (tan x) 2)) (- 1.0 (pow (tan x) 2)) (/ (+ 1.0 (cbrt (pow (tan x) 6))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (cbrt (pow (tan x) 6))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (cbrt (pow (tan x) 6))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (cbrt (pow (tan x) 6))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (+ (pow (tan x) 6) (pow 1.0 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (* 1.0 1.0) (* (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) 6))))) (* (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (+ 1.0 (cbrt (pow (tan x) 6)))) (* (+ 1.0 (cbrt (pow (tan x) 6))) (+ 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 (pow x 8) 2 (fma (pow x 10) 37/15 (pow x 6))) (/ (pow (sin x) 6) (pow (cos x) 6)) (/ (pow (sin x) 6) (pow (cos x) 6)) (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 (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)) 1.197 * * * [progress]: adding candidates to table 1.417 * * [progress]: iteration 3 / 4 1.417 * * * [progress]: picking best candidate 1.442 * * * * [pick]: Picked # 1.442 * * * [progress]: localizing error 1.450 * * * [progress]: generating rewritten candidates 1.450 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.456 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.461 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.465 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.480 * * * [progress]: generating series expansions 1.480 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.480 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.480 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.480 * [taylor]: Taking taylor expansion of (tan x) in x 1.480 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.480 * [taylor]: Taking taylor expansion of (sin x) in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.480 * [taylor]: Taking taylor expansion of (cos x) in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.481 * [taylor]: Taking taylor expansion of (tan x) in x 1.481 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.481 * [taylor]: Taking taylor expansion of (sin x) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of (cos x) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.494 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.494 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.494 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.494 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.494 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.495 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.495 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.495 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.505 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.505 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.505 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.505 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.505 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.505 * [taylor]: Taking taylor expansion of -1 in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.506 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.506 * [taylor]: Taking taylor expansion of -1 in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.506 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.506 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.506 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.506 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.506 * [taylor]: Taking taylor expansion of -1 in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.507 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.507 * [taylor]: Taking taylor expansion of -1 in x 1.507 * [taylor]: Taking taylor expansion of x in x 1.514 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.514 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.514 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.514 * [taylor]: Taking taylor expansion of (tan x) in x 1.514 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.514 * [taylor]: Taking taylor expansion of (sin x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (cos x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.515 * [taylor]: Taking taylor expansion of (tan x) in x 1.515 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.515 * [taylor]: Taking taylor expansion of (sin x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (cos x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.528 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.528 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.528 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.528 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.528 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.529 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.529 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.529 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.529 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.529 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.537 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.537 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.537 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.537 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.537 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.537 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.537 * [taylor]: Taking taylor expansion of -1 in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.537 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.537 * [taylor]: Taking taylor expansion of -1 in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.538 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.538 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.538 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.538 * [taylor]: Taking taylor expansion of -1 in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.538 * [taylor]: Taking taylor expansion of -1 in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.545 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.546 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow (tan x) 2) 1.0)) in (x) around 0 1.546 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan x) 2) 1.0)) in x 1.546 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.546 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.546 * [taylor]: Taking taylor expansion of (tan x) in x 1.546 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.546 * [taylor]: Taking taylor expansion of (sin x) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of (cos x) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan x) 2) 1.0)) in x 1.547 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.547 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.547 * [taylor]: Taking taylor expansion of (tan x) in x 1.547 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.547 * [taylor]: Taking taylor expansion of (sin x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of (cos x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.548 * [taylor]: Taking taylor expansion of 1.0 in x 1.561 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 1.561 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.561 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.561 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.561 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.562 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.562 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of 1.0 in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.563 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.563 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.563 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.563 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.563 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.564 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.564 * [taylor]: Taking taylor expansion of x in x 1.564 * [taylor]: Taking taylor expansion of 1.0 in x 1.578 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 1.579 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.579 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.579 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.579 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.579 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.579 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.579 * [taylor]: Taking taylor expansion of -1 in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.579 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.579 * [taylor]: Taking taylor expansion of -1 in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.580 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.580 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.580 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.580 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.580 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.580 * [taylor]: Taking taylor expansion of -1 in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.581 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.581 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.581 * [taylor]: Taking taylor expansion of -1 in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.581 * [taylor]: Taking taylor expansion of 1.0 in x 1.598 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.598 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 1.598 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 1.598 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.598 * [taylor]: Taking taylor expansion of 1.0 in x 1.598 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.598 * [taylor]: Taking taylor expansion of (tan x) in x 1.598 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.598 * [taylor]: Taking taylor expansion of (sin x) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (cos x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.599 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.599 * [taylor]: Taking taylor expansion of (tan x) in x 1.599 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.599 * [taylor]: Taking taylor expansion of (sin x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (cos x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.600 * [taylor]: Taking taylor expansion of 1.0 in x 1.601 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 1.601 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.601 * [taylor]: Taking taylor expansion of 1.0 in x 1.601 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.601 * [taylor]: Taking taylor expansion of (tan x) in x 1.601 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.601 * [taylor]: Taking taylor expansion of (sin x) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.601 * [taylor]: Taking taylor expansion of (cos x) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.602 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.602 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.602 * [taylor]: Taking taylor expansion of (tan x) in x 1.602 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.602 * [taylor]: Taking taylor expansion of (sin x) in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.602 * [taylor]: Taking taylor expansion of (cos x) in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 1.623 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.623 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.623 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.623 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.623 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.624 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.624 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.624 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.624 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.624 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.626 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.626 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.626 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.626 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.627 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.627 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.627 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.627 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.628 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of 1.0 in x 1.654 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 1.654 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.654 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.654 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.654 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.655 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.655 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.655 * [taylor]: Taking taylor expansion of -1 in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.655 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.655 * [taylor]: Taking taylor expansion of -1 in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.655 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.655 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.655 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.656 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.656 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.656 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.656 * [taylor]: Taking taylor expansion of -1 in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.656 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.656 * [taylor]: Taking taylor expansion of -1 in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of 1.0 in x 1.658 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.658 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.658 * [taylor]: Taking taylor expansion of 1.0 in x 1.658 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.658 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.658 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.658 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.658 * [taylor]: Taking taylor expansion of -1 in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.658 * [taylor]: Taking taylor expansion of -1 in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.659 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.659 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.659 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.659 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.659 * [taylor]: Taking taylor expansion of -1 in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.659 * [taylor]: Taking taylor expansion of -1 in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.660 * [taylor]: Taking taylor expansion of 1.0 in x 1.689 * * * [progress]: simplifying candidates 1.691 * [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)) (expm1 (/ 1 (+ 1.0 (* (tan x) (tan x))))) (log1p (/ 1 (+ 1.0 (* (tan x) (tan x))))) (- 1) (- (log (+ 1.0 (* (tan x) (tan x))))) (- 0 (log (+ 1.0 (* (tan x) (tan x))))) (- (log 1) (log (+ 1.0 (* (tan x) (tan x))))) (log (/ 1 (+ 1.0 (* (tan x) (tan x))))) (exp (/ 1 (+ 1.0 (* (tan x) (tan x))))) (/ (* (* 1 1) 1) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* 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(- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (exp (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (/ (* (* 1 1) 1) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))))) (* (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (* (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (cbrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (cbrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x))))))) (cbrt (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (* (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))) (sqrt (* (- 1.0 (* (tan 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(tan x)) 3)))) (* (- 1.0 (* (tan x) (tan x))) (/ 1 (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (sqrt (- 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- (sqrt 1.0) (tan x)) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) 1) (* (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.33333333333333337 (pow x 4)) 1.0) (* 1.0 (pow x 2))) (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 1.698 * * [simplify]: iteration 0 : 404 enodes (cost 1182 ) 1.706 * * [simplify]: iteration 1 : 1847 enodes (cost 1017 ) 1.742 * * [simplify]: iteration 2 : 5001 enodes (cost 958 ) 1.747 * [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 (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (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 (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (expm1 (/ 1 (+ 1.0 (* (tan x) (tan x))))) (log1p (/ 1 (+ 1.0 (* (tan x) (tan x))))) (- 1) (- (log (fma (tan x) (tan x) 1.0))) (- (log (fma (tan x) (tan x) 1.0))) (- (log (fma (tan x) (tan x) 1.0))) (- (log (fma (tan x) (tan x) 1.0))) (exp (/ 1 (fma (tan x) (tan x) 1.0))) 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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))) (/ (- 1.0 (* (tan x) (tan x))) (fma (pow (tan x) 6) 1 (pow 1.0 3))) (/ 1 (fma (tan x) (tan x) 1.0)) (/ (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))) (fma (tan x) (tan x) 1.0)) (/ (- (sqrt 1.0) (tan x)) (fma (tan x) (tan x) 1.0)) (- 1.0 (* (tan x) (tan x))) (/ (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (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)) (fma (pow x 4) 0.33333333333333337 (- 1.0 (* 1.0 (pow x 2)))) (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (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)) 1.748 * * * [progress]: adding candidates to table 1.951 * * [progress]: iteration 4 / 4 1.951 * * * [progress]: picking best candidate 1.973 * * * * [pick]: Picked # 1.973 * * * [progress]: localizing error 1.983 * * * [progress]: generating rewritten candidates 1.983 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.985 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.988 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.991 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.995 * * * [progress]: generating series expansions 1.995 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.995 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.995 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.995 * [taylor]: Taking taylor expansion of (tan x) in x 1.996 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.996 * [taylor]: Taking taylor expansion of (sin x) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.996 * [taylor]: Taking taylor expansion of (cos x) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.997 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.997 * [taylor]: Taking taylor expansion of (tan x) in x 1.997 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.997 * [taylor]: Taking taylor expansion of (sin x) in x 1.997 * [taylor]: Taking taylor expansion of x in x 1.997 * [taylor]: Taking taylor expansion of (cos x) in x 1.997 * [taylor]: Taking taylor expansion of x in x 2.010 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 2.010 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.010 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.013 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.013 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.014 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.014 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.014 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.014 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.014 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.015 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.015 * [taylor]: Taking taylor expansion of x in x 2.022 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 2.022 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.022 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.022 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.022 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.022 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.022 * [taylor]: Taking taylor expansion of -1 in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.023 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.023 * [taylor]: Taking taylor expansion of -1 in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.023 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.023 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.023 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.023 * [taylor]: Taking taylor expansion of -1 in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.024 * [taylor]: Taking taylor expansion of -1 in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.031 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.031 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 2.031 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.031 * [taylor]: Taking taylor expansion of (tan x) in x 2.031 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.031 * [taylor]: Taking taylor expansion of (sin x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.031 * [taylor]: Taking taylor expansion of (cos x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.032 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.032 * [taylor]: Taking taylor expansion of (tan x) in x 2.032 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.032 * [taylor]: Taking taylor expansion of (sin x) in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.032 * [taylor]: Taking taylor expansion of (cos x) in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.045 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 2.045 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.045 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.045 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.045 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.046 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.046 * [taylor]: Taking taylor expansion of x in x 2.046 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.046 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.046 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.046 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.046 * [taylor]: Taking taylor expansion of x in x 2.046 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.046 * [taylor]: Taking taylor expansion of x in x 2.054 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 2.054 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.054 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.054 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.054 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.054 * [taylor]: Taking taylor expansion of -1 in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.054 * [taylor]: Taking taylor expansion of -1 in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.055 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.055 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.055 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.055 * [taylor]: Taking taylor expansion of -1 in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.055 * [taylor]: Taking taylor expansion of -1 in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.062 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 2.062 * [approximate]: Taking taylor expansion of (pow (tan x) 6) in (x) around 0 2.062 * [taylor]: Taking taylor expansion of (pow (tan x) 6) in x 2.062 * [taylor]: Taking taylor expansion of (tan x) in x 2.062 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.062 * [taylor]: Taking taylor expansion of (sin x) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.062 * [taylor]: Taking taylor expansion of (cos x) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (pow (tan x) 6) in x 2.063 * [taylor]: Taking taylor expansion of (tan x) in x 2.063 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.063 * [taylor]: Taking taylor expansion of (sin x) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (cos x) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.081 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 6) in (x) around 0 2.081 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 6) in x 2.081 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.081 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.081 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.082 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.082 * [taylor]: Taking taylor expansion of x in x 2.082 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 6) in x 2.082 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.082 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.082 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.082 * [taylor]: Taking taylor expansion of x in x 2.082 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.104 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 6) in (x) around 0 2.104 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 6) in x 2.104 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.104 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.104 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.104 * [taylor]: Taking taylor expansion of -1 in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.105 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.105 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.105 * [taylor]: Taking taylor expansion of -1 in x 2.105 * [taylor]: Taking taylor expansion of x in x 2.105 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 6) in x 2.105 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.105 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.105 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.105 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.105 * [taylor]: Taking taylor expansion of -1 in x 2.105 * [taylor]: Taking taylor expansion of x in x 2.106 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.106 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.106 * [taylor]: Taking taylor expansion of -1 in x 2.106 * [taylor]: Taking taylor expansion of x in x 2.124 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.124 * [approximate]: Taking taylor expansion of (pow (tan x) 6) in (x) around 0 2.124 * [taylor]: Taking taylor expansion of (pow (tan x) 6) in x 2.124 * [taylor]: Taking taylor expansion of (tan x) in x 2.124 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.124 * [taylor]: Taking taylor expansion of (sin x) in x 2.124 * [taylor]: Taking taylor expansion of x in x 2.124 * [taylor]: Taking taylor expansion of (cos x) in x 2.124 * [taylor]: Taking taylor expansion of x in x 2.125 * [taylor]: Taking taylor expansion of (pow (tan x) 6) in x 2.125 * [taylor]: Taking taylor expansion of (tan x) in x 2.125 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.125 * [taylor]: Taking taylor expansion of (sin x) in x 2.125 * [taylor]: Taking taylor expansion of x in x 2.125 * [taylor]: Taking taylor expansion of (cos x) in x 2.125 * [taylor]: Taking taylor expansion of x in x 2.143 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 6) in (x) around 0 2.143 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 6) in x 2.143 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.143 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.143 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.143 * [taylor]: Taking taylor expansion of x in x 2.143 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.143 * [taylor]: Taking taylor expansion of x in x 2.144 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 6) in x 2.144 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.144 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.144 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.144 * [taylor]: Taking taylor expansion of x in x 2.144 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.144 * [taylor]: Taking taylor expansion of x in x 2.162 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 6) in (x) around 0 2.162 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 6) in x 2.162 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.162 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.163 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.163 * [taylor]: Taking taylor expansion of -1 in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.163 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.163 * [taylor]: Taking taylor expansion of -1 in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.163 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 6) in x 2.163 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.163 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.163 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.163 * [taylor]: Taking taylor expansion of -1 in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.164 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.164 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.164 * [taylor]: Taking taylor expansion of -1 in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.182 * * * [progress]: simplifying candidates 2.183 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (tan x) 6))) (log1p (cbrt (pow (tan x) 6))) (log (cbrt (pow (tan x) 6))) (exp (cbrt (pow (tan x) 6))) (cbrt (pow (* (cbrt (tan x)) (cbrt (tan x))) 6)) (cbrt (pow (cbrt (tan x)) 6)) (cbrt (pow (sqrt (tan x)) 6)) (cbrt (pow (sqrt (tan x)) 6)) (cbrt (pow 1 6)) (cbrt (pow (tan x) 6)) (cbrt (* (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) 6)))) (cbrt (cbrt (pow (tan x) 6))) (cbrt (sqrt (pow (tan x) 6))) (cbrt (sqrt (pow (tan x) 6))) (cbrt 1) (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) (/ 6 2))) (cbrt (pow (tan x) (/ 6 2))) (* (cbrt (cbrt (pow (tan x) 6))) (cbrt (cbrt (pow (tan x) 6)))) (cbrt (cbrt (pow (tan x) 6))) (* (* (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) 6))) (cbrt (pow (tan x) 6))) (sqrt (cbrt (pow (tan x) 6))) (sqrt (cbrt (pow (tan x) 6))) (expm1 (cbrt (pow (tan x) 6))) (log1p (cbrt (pow (tan x) 6))) (log (cbrt (pow (tan x) 6))) (exp (cbrt (pow (tan x) 6))) (cbrt (pow (* (cbrt (tan x)) (cbrt (tan x))) 6)) (cbrt (pow (cbrt (tan x)) 6)) (cbrt (pow (sqrt (tan x)) 6)) (cbrt (pow (sqrt (tan x)) 6)) (cbrt (pow 1 6)) (cbrt (pow (tan x) 6)) (cbrt (* (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) 6)))) (cbrt (cbrt (pow (tan x) 6))) (cbrt (sqrt (pow (tan x) 6))) (cbrt (sqrt (pow (tan x) 6))) (cbrt 1) (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) (/ 6 2))) (cbrt (pow (tan x) (/ 6 2))) (* (cbrt (cbrt (pow (tan x) 6))) (cbrt (cbrt (pow (tan x) 6)))) (cbrt (cbrt (pow (tan x) 6))) (* (* (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) 6))) (cbrt (pow (tan x) 6))) (sqrt (cbrt (pow (tan x) 6))) (sqrt (cbrt (pow (tan x) 6))) (expm1 (pow (tan x) 6)) (log1p (pow (tan x) 6)) (* (log (tan x)) 6) (* (log (tan x)) 6) (* 1 6) (pow (tan x) (* (cbrt 6) (cbrt 6))) (pow (tan x) (sqrt 6)) (pow (tan x) 1) (pow (* (cbrt (tan x)) (cbrt (tan x))) 6) (pow (cbrt (tan x)) 6) (pow (sqrt (tan x)) 6) (pow (sqrt (tan x)) 6) (pow 1 6) (pow (tan x) 6) (log (pow (tan x) 6)) (exp (pow (tan x) 6)) (* (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) 6))) (cbrt (pow (tan x) 6)) (* (* (pow (tan x) 6) (pow (tan x) 6)) (pow (tan x) 6)) (sqrt (pow (tan x) 6)) (sqrt (pow (tan x) 6)) (pow (tan x) (/ 6 2)) (pow (tan x) (/ 6 2)) (expm1 (pow (tan x) 6)) (log1p (pow (tan x) 6)) (* (log (tan x)) 6) (* (log (tan x)) 6) (* 1 6) (pow (tan x) (* (cbrt 6) (cbrt 6))) (pow (tan x) (sqrt 6)) (pow (tan x) 1) (pow (* (cbrt (tan x)) (cbrt (tan x))) 6) (pow (cbrt (tan x)) 6) (pow (sqrt (tan x)) 6) (pow (sqrt (tan x)) 6) (pow 1 6) (pow (tan x) 6) (log (pow (tan x) 6)) (exp (pow (tan x) 6)) (* (cbrt (pow (tan x) 6)) (cbrt (pow (tan x) 6))) (cbrt (pow (tan x) 6)) (* (* (pow (tan x) 6) (pow (tan x) 6)) (pow (tan x) 6)) (sqrt (pow (tan x) 6)) (sqrt (pow (tan x) 6)) (pow (tan x) (/ 6 2)) (pow (tan x) (/ 6 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)) (+ (* 2 (pow x 8)) (+ (pow x 6) (* 37/15 (pow x 10)))) (/ (pow (sin x) 6) (pow (cos x) 6)) (/ (pow (sin x) 6) (pow (cos x) 6)) (+ (* 2 (pow x 8)) (+ (pow x 6) (* 37/15 (pow x 10)))) (/ (pow (sin x) 6) (pow (cos x) 6)) (/ (pow (sin x) 6) (pow (cos x) 6)) 2.190 * * [simplify]: iteration 0 : 147 enodes (cost 396 ) 2.193 * * [simplify]: iteration 1 : 486 enodes (cost 350 ) 2.205 * * [simplify]: iteration 2 : 2205 enodes (cost 340 ) 2.283 * * [simplify]: iteration 3 : 5001 enodes (cost 306 ) 2.286 * [simplify]: Simplified to: (expm1 (cbrt (pow (tan x) 6))) (log1p (cbrt (pow (tan x) 6))) (log (pow (tan x) 2)) (exp (pow (tan x) 2)) (cbrt (pow (* (cbrt (tan x)) (cbrt (tan x))) 6)) (cbrt (pow (cbrt (tan x)) 6)) (tan x) (tan x) 1 (pow (tan x) 2) (cbrt (pow (* (cbrt (tan x)) (cbrt (tan x))) 6)) (cbrt (pow (cbrt (tan x)) 6)) (cbrt (sqrt (pow (tan x) 6))) (cbrt (sqrt (pow (tan x) 6))) 1 (pow (tan x) 2) (tan x) (tan x) (pow (cbrt (tan x)) 4) (cbrt (pow (cbrt (tan x)) 6)) (pow (tan x) 6) (sqrt (cbrt (pow (tan x) 6))) (sqrt (cbrt (pow (tan x) 6))) (expm1 (cbrt (pow (tan x) 6))) (log1p (cbrt (pow (tan x) 6))) (log (pow (tan x) 2)) (exp (pow (tan x) 2)) (cbrt (pow (* (cbrt (tan x)) (cbrt (tan x))) 6)) (cbrt (pow (cbrt (tan x)) 6)) (tan x) (tan x) 1 (pow (tan x) 2) (cbrt (pow (* (cbrt (tan x)) (cbrt (tan x))) 6)) (cbrt (pow (cbrt (tan x)) 6)) (cbrt (sqrt (pow (tan x) 6))) (cbrt (sqrt (pow (tan x) 6))) 1 (pow (tan x) 2) (tan x) (tan x) (pow (cbrt (tan x)) 4) (cbrt (pow (cbrt (tan x)) 6)) (pow (tan x) 6) (sqrt (cbrt (pow (tan x) 6))) (sqrt (cbrt (pow (tan x) 6))) (expm1 (pow (tan x) 6)) (log1p (pow (tan x) 6)) (log (pow (tan x) 6)) (log (pow (tan x) 6)) 6 (pow (tan x) (* (cbrt 6) (cbrt 6))) (pow (tan x) (sqrt 6)) (tan x) (pow (tan x) 4) (pow (tan x) 2) (pow (tan x) 3) (pow (tan x) 3) 1 (pow (tan x) 6) (log (pow (tan x) 6)) (exp (pow (tan x) 6)) (pow (tan x) 4) (pow (tan x) 2) (pow (pow (tan x) 6) 3) (sqrt (pow (tan x) 6)) (sqrt (pow (tan x) 6)) (pow (tan x) 3) (pow (tan x) 3) (expm1 (pow (tan x) 6)) (log1p (pow (tan x) 6)) (log (pow (tan x) 6)) (log (pow (tan x) 6)) 6 (pow (tan x) (* (cbrt 6) (cbrt 6))) (pow (tan x) (sqrt 6)) (tan x) (pow (tan x) 4) (pow (tan x) 2) (pow (tan x) 3) (pow (tan x) 3) 1 (pow (tan x) 6) (log (pow (tan x) 6)) (exp (pow (tan x) 6)) (pow (tan x) 4) (pow (tan x) 2) (pow (pow (tan x) 6) 3) (sqrt (pow (tan x) 6)) (sqrt (pow (tan x) 6)) (pow (tan x) 3) (pow (tan x) 3) (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)) (fma (pow x 8) 2 (fma (pow x 10) 37/15 (pow x 6))) (/ (pow (sin x) 6) (pow (cos x) 6)) (/ (pow (sin x) 6) (pow (cos x) 6)) (fma (pow x 8) 2 (fma (pow x 10) 37/15 (pow x 6))) (/ (pow (sin x) 6) (pow (cos x) 6)) (/ (pow (sin x) 6) (pow (cos x) 6)) 2.286 * * * [progress]: adding candidates to table 2.459 * [progress]: [Phase 3 of 3] Extracting. 2.460 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 2.462 * * * [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) 2.462 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # # # # #) 2.506 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # # # # # # # # #) 2.544 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) from (# # # # # # # # # # # #) 2.582 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 2.617 * * * [regime]: Found split indices: #