0.823 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.299 * * * [progress]: [2/2] Setting up program. 0.302 * [progress]: [Phase 2 of 3] Improving. 0.305 * [simplify]: Simplifying using # : (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.310 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 0.311 * * [simplify]: iteration 1 : 22 enodes (cost 9 ) 0.313 * * [simplify]: iteration 2 : 29 enodes (cost 9 ) 0.314 * * [simplify]: iteration 3 : 37 enodes (cost 9 ) 0.315 * * [simplify]: iteration 4 : 43 enodes (cost 9 ) 0.317 * * [simplify]: iteration 5 : 45 enodes (cost 9 ) 0.318 * * [simplify]: iteration 6 : 45 enodes (cost 9 ) 0.319 * [simplify]: Simplified to: (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.320 * * [progress]: iteration 1 / 4 0.320 * * * [progress]: picking best candidate 0.322 * * * * [pick]: Picked # 0.322 * * * [progress]: localizing error 0.332 * * * [progress]: generating rewritten candidates 0.332 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.340 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.344 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.351 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.358 * * * [progress]: generating series expansions 0.358 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.362 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.363 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.363 * [taylor]: Taking taylor expansion of (tan x) in x 0.364 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.364 * [taylor]: Taking taylor expansion of (sin x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (cos x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.366 * [taylor]: Taking taylor expansion of (tan x) in x 0.366 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.366 * [taylor]: Taking taylor expansion of (sin x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (cos x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.397 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.397 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.397 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.397 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.397 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.398 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.398 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.399 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.407 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.407 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.407 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.407 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.407 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.407 * [taylor]: Taking taylor expansion of -1 in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.408 * [taylor]: Taking taylor expansion of -1 in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.408 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.408 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.408 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.408 * [taylor]: Taking taylor expansion of -1 in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.409 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.409 * [taylor]: Taking taylor expansion of -1 in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.417 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.417 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.417 * [taylor]: Taking taylor expansion of (tan x) in x 0.417 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.417 * [taylor]: Taking taylor expansion of (sin x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (cos x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.418 * [taylor]: Taking taylor expansion of (tan x) in x 0.418 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.418 * [taylor]: Taking taylor expansion of (sin x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (cos x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.431 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.431 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.431 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.431 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.431 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.432 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.432 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.432 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.440 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.440 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.440 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.440 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.440 * [taylor]: Taking taylor expansion of -1 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.440 * [taylor]: Taking taylor expansion of -1 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.441 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.441 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.441 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.441 * [taylor]: Taking taylor expansion of -1 in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.441 * [taylor]: Taking taylor expansion of -1 in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.448 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.448 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.448 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.448 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.448 * [taylor]: Taking taylor expansion of (tan x) in x 0.448 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.448 * [taylor]: Taking taylor expansion of (sin x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (cos x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.450 * [taylor]: Taking taylor expansion of (tan x) in x 0.450 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.450 * [taylor]: Taking taylor expansion of (sin x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (cos x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.451 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.451 * [taylor]: Taking taylor expansion of (tan x) in x 0.451 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.452 * [taylor]: Taking taylor expansion of (sin x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (cos x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.452 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.452 * [taylor]: Taking taylor expansion of (tan x) in x 0.452 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.452 * [taylor]: Taking taylor expansion of (sin x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (cos x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.474 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.474 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.474 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.475 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.475 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.475 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.475 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.477 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.477 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.477 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.478 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.478 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.478 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.478 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.512 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.512 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.512 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.512 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.513 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.513 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.513 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.513 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.515 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.515 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.515 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.515 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.515 * [taylor]: Taking taylor expansion of -1 in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.516 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.516 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.516 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.516 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.543 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0 0.543 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.543 * [taylor]: Taking taylor expansion of (tan x) in x 0.543 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.543 * [taylor]: Taking taylor expansion of (sin x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (cos x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.544 * [taylor]: Taking taylor expansion of (tan x) in x 0.544 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.544 * [taylor]: Taking taylor expansion of (sin x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (cos x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.552 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 0.552 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.552 * [taylor]: Taking taylor expansion of 1.0 in x 0.552 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.552 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.552 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.552 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.552 * [taylor]: Taking taylor expansion of 1.0 in x 0.552 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.553 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.553 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.553 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.563 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.563 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.563 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.563 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.563 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.563 * [taylor]: Taking taylor expansion of -1 in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.564 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.564 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.564 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.575 * * * [progress]: simplifying candidates 0.577 * [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))) 0.587 * * [simplify]: iteration 0 : 338 enodes (cost 1007 ) 0.594 * * [simplify]: iteration 1 : 1243 enodes (cost 917 ) 0.621 * * [simplify]: iteration 2 : 5001 enodes (cost 882 ) 0.626 * [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))) 0.627 * * * [progress]: adding candidates to table 0.880 * * [progress]: iteration 2 / 4 0.880 * * * [progress]: picking best candidate 0.905 * * * * [pick]: Picked # 0.905 * * * [progress]: localizing error 0.919 * * * [progress]: generating rewritten candidates 0.919 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.925 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.929 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.942 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.953 * * * [progress]: generating series expansions 0.954 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.954 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.954 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.954 * [taylor]: Taking taylor expansion of (tan x) in x 0.954 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.954 * [taylor]: Taking taylor expansion of (sin x) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (cos x) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (pow (tan x) 2) 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 0.968 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.968 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.968 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.968 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.968 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.969 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.969 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.969 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.977 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.977 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.977 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.977 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.977 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.977 * [taylor]: Taking taylor expansion of -1 in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.977 * [taylor]: Taking taylor expansion of -1 in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.978 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.978 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.978 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.978 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.978 * [taylor]: Taking taylor expansion of -1 in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.978 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.978 * [taylor]: Taking taylor expansion of -1 in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.985 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.986 * [approximate]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in (x) around 0 0.986 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 0.986 * [taylor]: Taking taylor expansion of (tan x) in x 0.986 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.986 * [taylor]: Taking taylor expansion of (sin x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (cos x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.987 * [taylor]: Taking taylor expansion of 1.0 in x 0.987 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 0.987 * [taylor]: Taking taylor expansion of (tan x) in x 0.987 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.987 * [taylor]: Taking taylor expansion of (sin x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (cos x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.988 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [approximate]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in (x) around 0 0.996 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 0.996 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.996 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.996 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.998 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 0.998 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.998 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.998 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.012 * [approximate]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in (x) around 0 1.012 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.012 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.012 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.012 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.012 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.012 * [taylor]: Taking taylor expansion of -1 in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.012 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.012 * [taylor]: Taking taylor expansion of -1 in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.013 * [taylor]: Taking taylor expansion of 1.0 in x 1.014 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.014 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.014 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.014 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.014 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.014 * [taylor]: Taking taylor expansion of -1 in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.014 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.014 * [taylor]: Taking taylor expansion of -1 in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.024 * [approximate]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in (x) around 0 1.024 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in x 1.024 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.024 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.024 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (tan x) in x 1.025 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.025 * [taylor]: Taking taylor expansion of (sin x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (cos x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.025 * [taylor]: Taking taylor expansion of (tan x) in x 1.025 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.025 * [taylor]: Taking taylor expansion of (sin x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (cos x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in x 1.027 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.027 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of (tan x) in x 1.028 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.028 * [taylor]: Taking taylor expansion of (sin x) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (cos x) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.029 * [taylor]: Taking taylor expansion of (tan x) in x 1.029 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.029 * [taylor]: Taking taylor expansion of (sin x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (cos x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [approximate]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in (x) around 0 1.059 * [taylor]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in x 1.059 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.059 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.059 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.060 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.060 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.060 * [taylor]: Taking taylor expansion of 1.0 in x 1.061 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.061 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.061 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in x 1.062 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.062 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.062 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.062 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.063 * [taylor]: Taking taylor expansion of 1.0 in x 1.063 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.063 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.063 * [taylor]: Taking taylor expansion of 1.0 in x 1.064 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.064 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.064 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.065 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.091 * [approximate]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in (x) around 0 1.091 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in x 1.091 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.091 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.096 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.096 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.096 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.096 * [taylor]: Taking taylor expansion of -1 in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.097 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.097 * [taylor]: Taking taylor expansion of -1 in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.098 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.098 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.098 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.098 * [taylor]: Taking taylor expansion of -1 in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.098 * [taylor]: Taking taylor expansion of -1 in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.099 * [taylor]: Taking taylor expansion of 1.0 in x 1.099 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in x 1.099 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.099 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.099 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.100 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.100 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.100 * [taylor]: Taking taylor expansion of -1 in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.101 * [taylor]: Taking taylor expansion of -1 in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.101 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.101 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.101 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.101 * [taylor]: Taking taylor expansion of -1 in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.102 * [taylor]: Taking taylor expansion of -1 in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.128 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.128 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in (x) around 0 1.128 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.128 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.129 * [taylor]: Taking taylor expansion of (tan x) in x 1.129 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.129 * [taylor]: Taking taylor expansion of (sin x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (cos x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan x)) in x 1.130 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (tan x) in x 1.130 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.130 * [taylor]: Taking taylor expansion of (sin x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (cos x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.138 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in (x) around 0 1.138 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.138 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.138 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.139 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.139 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ 1 x))) in x 1.140 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.141 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.141 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.151 * [approximate]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in (x) around 0 1.151 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.151 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.151 * [taylor]: Taking taylor expansion of 1.0 in x 1.152 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.152 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.152 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.152 * [taylor]: Taking taylor expansion of -1 in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.152 * [taylor]: Taking taylor expansion of -1 in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (tan (/ -1 x))) in x 1.153 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.153 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.153 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.153 * [taylor]: Taking taylor expansion of -1 in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.163 * * * [progress]: simplifying candidates 1.166 * [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 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(sin x) (cos x))) (- (pow (sqrt 1.0) 2) (+ (pow x 2) (* 2/3 (pow x 4)))) (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (* (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x)))) (- (sqrt 1.0) (+ (* 1/3 (pow x 3)) x)) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x))) 1.175 * * [simplify]: iteration 0 : 550 enodes (cost 2052 ) 1.186 * * [simplify]: iteration 1 : 2400 enodes (cost 1381 ) 1.226 * * [simplify]: iteration 2 : 5001 enodes (cost 1360 ) 1.237 * [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 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(tan x)) (- (sqrt 1.0) (tan x))))) (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (pow (+ 1.0 (- (* (tan x) (tan x)))) 3) (sqrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (sqrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (+ (* (tan x) (- (tan x) (sqrt 1.0))) 1.0)) (* (fma 1.0 (sqrt 1.0) (pow (tan x) 3)) (- 1.0 (* (tan x) (tan x)))) (* (fma (tan x) (- (tan x) (sqrt 1.0)) 1.0) (+ (sqrt 1.0) (tan x))) (* (- 1.0 (* (tan x) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (- (sqrt 1.0) (tan x))) (* (+ 1.0 (- (* (tan x) (tan x)))) (+ 1.0 (- (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (* (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x)))) (* (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x)))) (* (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (* (fma (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1.0)) (- (* (tan x) 1))) (+ (sqrt 1.0) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (fma (- (tan x)) 1 (tan x)) (+ (sqrt 1.0) (tan x))) (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x))))) (* (+ (sqrt 1.0) (tan x)) (sqrt (- (sqrt 1.0) (tan x)))) (+ (sqrt 1.0) (tan x)) (* (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x)))) (* (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x)))) (+ (sqrt 1.0) (tan x)) (* (cbrt (+ (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (* (sqrt (+ (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x))) (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ 1.0 (- (* (tan x) (tan x)))) (+ (sqrt 1.0) (tan x))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (sqrt 1.0) (tan x))) (* (- (sqrt 1.0) (tan x)) (+ 1.0 (- (* (tan x) (tan x))))) (- (* (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0))) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (* (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0))) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (* (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (cbrt (sqrt 1.0))) (tan x)) (fma (- (tan x)) 1 (tan x)) (fma (sqrt (cbrt 1.0)) (fabs (cbrt 1.0)) (- (tan x))) (fma (- (tan x)) 1 (tan x)) (fma (sqrt (cbrt 1.0)) (fabs (cbrt 1.0)) (- (tan x))) (fma (- (tan x)) 1 (tan x)) (fma (sqrt (cbrt 1.0)) (fabs (cbrt 1.0)) (- (tan x))) (fma (- (tan x)) 1 (tan x)) (- (sqrt 1.0) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (sqrt 1.0) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (sqrt 1.0) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (sqrt 1.0) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (sqrt 1.0) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (sqrt 1.0) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (sqrt 1.0) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (sqrt 1.0) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (sqrt 1.0) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (sqrt 1.0) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (sqrt 1.0) (tan x)) (fma (- (tan x)) 1 (tan x)) (- (sqrt 1.0) (tan x)) (fma (- (tan x)) 1 (tan x)) (expm1 (- (sqrt 1.0) (tan x))) (log1p (- (sqrt 1.0) (tan x))) (- (tan x)) (- (tan x)) (- (tan x)) (- (tan x)) (- (tan x)) (- (tan x)) (exp (- (sqrt 1.0) (tan x))) (log (- (sqrt 1.0) (tan x))) (exp (- (sqrt 1.0) (tan x))) (* (cbrt (- (sqrt 1.0) (tan x))) (cbrt (- (sqrt 1.0) (tan x)))) (cbrt (- (sqrt 1.0) (tan x))) (pow (- (sqrt 1.0) (tan x)) 3) (sqrt (- (sqrt 1.0) (tan x))) (sqrt (- (sqrt 1.0) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3)) (fma (tan x) (+ (sqrt 1.0) (tan x)) 1.0) (- (tan x)) (- 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (+ (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt (sqrt 1.0)) (sqrt (tan x))) (- (sqrt 1.0) (tan x)) (- (tan x)) (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 1/3 (pow x 3) (+ (sqrt 1.0) x)) (+ (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (- 1.0 (pow x 2)) (* 2/3 (pow x 4))) (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (- (sqrt 1.0) (+ (* 1/3 (pow x 3)) x)) (- (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x))) 1.238 * * * [progress]: adding candidates to table 1.478 * * [progress]: iteration 3 / 4 1.478 * * * [progress]: picking best candidate 1.509 * * * * [pick]: Picked # 1.509 * * * [progress]: localizing error 1.522 * * * [progress]: generating rewritten candidates 1.522 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.527 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.532 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.533 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.538 * * * [progress]: generating series expansions 1.538 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.538 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.538 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.538 * [taylor]: Taking taylor expansion of (tan x) in x 1.539 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.539 * [taylor]: Taking taylor expansion of (sin x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (cos x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.539 * [taylor]: Taking taylor expansion of (tan x) in x 1.540 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.540 * [taylor]: Taking taylor expansion of (sin x) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (cos x) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.553 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.553 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.553 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.553 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.553 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.554 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.554 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.554 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.561 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 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 1.561 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.561 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.561 * [taylor]: Taking taylor expansion of -1 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 -1 in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.562 * [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 -1 in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.563 * [taylor]: Taking taylor expansion of -1 in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.570 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.570 * [approximate]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in (x) around 0 1.570 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.570 * [taylor]: Taking taylor expansion of (tan x) in x 1.570 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.570 * [taylor]: Taking taylor expansion of (sin x) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of (cos x) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.571 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.571 * [taylor]: Taking taylor expansion of 1.0 in x 1.572 * [taylor]: Taking taylor expansion of (+ (tan x) (sqrt 1.0)) in x 1.572 * [taylor]: Taking taylor expansion of (tan x) in x 1.572 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.572 * [taylor]: Taking taylor expansion of (sin x) in x 1.572 * [taylor]: Taking taylor expansion of x in x 1.572 * [taylor]: Taking taylor expansion of (cos x) in x 1.572 * [taylor]: Taking taylor expansion of x in x 1.572 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.573 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [approximate]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in (x) around 0 1.580 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) 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 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 x in x 1.581 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.581 * [taylor]: Taking taylor expansion of 1.0 in x 1.582 * [taylor]: Taking taylor expansion of (+ (tan (/ 1 x)) (sqrt 1.0)) in x 1.582 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.582 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.582 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.583 * [taylor]: Taking taylor expansion of 1.0 in x 1.591 * [approximate]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in (x) around 0 1.591 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.591 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.592 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.592 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.592 * [taylor]: Taking taylor expansion of -1 in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.592 * [taylor]: Taking taylor expansion of -1 in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.597 * [taylor]: Taking taylor expansion of (+ (tan (/ -1 x)) (sqrt 1.0)) in x 1.597 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.598 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.598 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.598 * [taylor]: Taking taylor expansion of -1 in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.598 * [taylor]: Taking taylor expansion of -1 in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.598 * [taylor]: Taking taylor expansion of 1.0 in x 1.607 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.607 * [approximate]: Taking taylor expansion of (fma (tan x) (sqrt 1.0) 1.0) in (x) around 0 1.607 * [taylor]: Taking taylor expansion of (fma (tan x) (sqrt 1.0) 1.0) in x 1.607 * [taylor]: Rewrote expression to (+ (* (tan x) (sqrt 1.0)) 1.0) 1.607 * [taylor]: Taking taylor expansion of (* (tan x) (sqrt 1.0)) in x 1.607 * [taylor]: Taking taylor expansion of (tan x) in x 1.607 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.607 * [taylor]: Taking taylor expansion of (sin x) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of (cos x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.608 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.608 * [taylor]: Taking taylor expansion of 1.0 in x 1.609 * [taylor]: Taking taylor expansion of 1.0 in x 1.609 * [taylor]: Taking taylor expansion of (fma (tan x) (sqrt 1.0) 1.0) in x 1.609 * [taylor]: Rewrote expression to (+ (* (tan x) (sqrt 1.0)) 1.0) 1.609 * [taylor]: Taking taylor expansion of (* (tan x) (sqrt 1.0)) in x 1.609 * [taylor]: Taking taylor expansion of (tan x) in x 1.609 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.609 * [taylor]: Taking taylor expansion of (sin x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of (cos x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.611 * [taylor]: Taking taylor expansion of 1.0 in x 1.621 * [approximate]: Taking taylor expansion of (fma (tan (/ 1 x)) (sqrt 1.0) 1.0) in (x) around 0 1.621 * [taylor]: Taking taylor expansion of (fma (tan (/ 1 x)) (sqrt 1.0) 1.0) in x 1.622 * [taylor]: Rewrote expression to (+ (* (tan (/ 1 x)) (sqrt 1.0)) 1.0) 1.622 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sqrt 1.0)) in x 1.622 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.622 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.622 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.622 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (fma (tan (/ 1 x)) (sqrt 1.0) 1.0) in x 1.623 * [taylor]: Rewrote expression to (+ (* (tan (/ 1 x)) (sqrt 1.0)) 1.0) 1.623 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sqrt 1.0)) 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 (sqrt 1.0) in x 1.624 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [approximate]: Taking taylor expansion of (fma (tan (/ -1 x)) (sqrt 1.0) 1.0) in (x) around 0 1.637 * [taylor]: Taking taylor expansion of (fma (tan (/ -1 x)) (sqrt 1.0) 1.0) in x 1.637 * [taylor]: Rewrote expression to (+ (* (tan (/ -1 x)) (sqrt 1.0)) 1.0) 1.637 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sqrt 1.0)) in x 1.637 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.637 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.637 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.637 * [taylor]: Taking taylor expansion of -1 in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.638 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.638 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.638 * [taylor]: Taking taylor expansion of -1 in x 1.638 * [taylor]: Taking taylor expansion of x in x 1.638 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.638 * [taylor]: Taking taylor expansion of 1.0 in x 1.639 * [taylor]: Taking taylor expansion of 1.0 in x 1.639 * [taylor]: Taking taylor expansion of (fma (tan (/ -1 x)) (sqrt 1.0) 1.0) in x 1.639 * [taylor]: Rewrote expression to (+ (* (tan (/ -1 x)) (sqrt 1.0)) 1.0) 1.639 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sqrt 1.0)) in x 1.639 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.639 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.639 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.639 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.639 * [taylor]: Taking taylor expansion of -1 in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.639 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.639 * [taylor]: Taking taylor expansion of -1 in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.640 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.640 * [taylor]: Taking taylor expansion of 1.0 in x 1.640 * [taylor]: Taking taylor expansion of 1.0 in x 1.652 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.653 * [approximate]: Taking taylor expansion of (- (fma (tan x) (sqrt 1.0) 1.0) (+ (pow (tan x) 2) (* (tan x) (sqrt 1.0)))) in (x) around 0 1.653 * [taylor]: Taking taylor expansion of (- (fma (tan x) (sqrt 1.0) 1.0) (+ (pow (tan x) 2) (* (tan x) (sqrt 1.0)))) in x 1.653 * [taylor]: Taking taylor expansion of (fma (tan x) (sqrt 1.0) 1.0) in x 1.653 * [taylor]: Rewrote expression to (+ (* (tan x) (sqrt 1.0)) 1.0) 1.653 * [taylor]: Taking taylor expansion of (* (tan x) (sqrt 1.0)) in x 1.653 * [taylor]: Taking taylor expansion of (tan x) in x 1.653 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.653 * [taylor]: Taking taylor expansion of (sin x) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.653 * [taylor]: Taking taylor expansion of (cos x) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.654 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) (* (tan x) (sqrt 1.0))) in x 1.655 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.655 * [taylor]: Taking taylor expansion of (tan x) in x 1.655 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.655 * [taylor]: Taking taylor expansion of (sin x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.655 * [taylor]: Taking taylor expansion of (cos x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.655 * [taylor]: Taking taylor expansion of (* (tan x) (sqrt 1.0)) in x 1.655 * [taylor]: Taking taylor expansion of (tan x) in x 1.655 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.656 * [taylor]: Taking taylor expansion of (sin x) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of (cos x) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.656 * [taylor]: Taking taylor expansion of 1.0 in x 1.657 * [taylor]: Taking taylor expansion of (- (fma (tan x) (sqrt 1.0) 1.0) (+ (pow (tan x) 2) (* (tan x) (sqrt 1.0)))) in x 1.657 * [taylor]: Taking taylor expansion of (fma (tan x) (sqrt 1.0) 1.0) in x 1.657 * [taylor]: Rewrote expression to (+ (* (tan x) (sqrt 1.0)) 1.0) 1.657 * [taylor]: Taking taylor expansion of (* (tan x) (sqrt 1.0)) in x 1.657 * [taylor]: Taking taylor expansion of (tan x) in x 1.657 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.657 * [taylor]: Taking taylor expansion of (sin x) in x 1.657 * [taylor]: Taking taylor expansion of x in x 1.657 * [taylor]: Taking taylor expansion of (cos x) in x 1.657 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.658 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) (* (tan x) (sqrt 1.0))) in x 1.659 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.659 * [taylor]: Taking taylor expansion of (tan x) in x 1.659 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.659 * [taylor]: Taking taylor expansion of (sin x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (cos x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (* (tan x) (sqrt 1.0)) in x 1.659 * [taylor]: Taking taylor expansion of (tan x) in x 1.660 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.660 * [taylor]: Taking taylor expansion of (sin x) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.660 * [taylor]: Taking taylor expansion of (cos x) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.660 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.660 * [taylor]: Taking taylor expansion of 1.0 in x 1.701 * [approximate]: Taking taylor expansion of (- (fma (tan (/ 1 x)) (sqrt 1.0) 1.0) (+ (pow (tan (/ 1 x)) 2) (* (tan (/ 1 x)) (sqrt 1.0)))) in (x) around 0 1.701 * [taylor]: Taking taylor expansion of (- (fma (tan (/ 1 x)) (sqrt 1.0) 1.0) (+ (pow (tan (/ 1 x)) 2) (* (tan (/ 1 x)) (sqrt 1.0)))) in x 1.701 * [taylor]: Taking taylor expansion of (fma (tan (/ 1 x)) (sqrt 1.0) 1.0) in x 1.701 * [taylor]: Rewrote expression to (+ (* (tan (/ 1 x)) (sqrt 1.0)) 1.0) 1.701 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sqrt 1.0)) in x 1.702 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.702 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.702 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.702 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.702 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.702 * [taylor]: Taking taylor expansion of 1.0 in x 1.703 * [taylor]: Taking taylor expansion of 1.0 in x 1.703 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) (* (tan (/ 1 x)) (sqrt 1.0))) in x 1.703 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.703 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.703 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.703 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.703 * [taylor]: Taking taylor expansion of x in x 1.703 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sqrt 1.0)) in x 1.704 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.704 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.704 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of (- (fma (tan (/ 1 x)) (sqrt 1.0) 1.0) (+ (pow (tan (/ 1 x)) 2) (* (tan (/ 1 x)) (sqrt 1.0)))) in x 1.705 * [taylor]: Taking taylor expansion of (fma (tan (/ 1 x)) (sqrt 1.0) 1.0) in x 1.706 * [taylor]: Rewrote expression to (+ (* (tan (/ 1 x)) (sqrt 1.0)) 1.0) 1.706 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sqrt 1.0)) in x 1.706 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.706 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.706 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.706 * [taylor]: Taking taylor expansion of 1.0 in x 1.707 * [taylor]: Taking taylor expansion of 1.0 in x 1.707 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) (* (tan (/ 1 x)) (sqrt 1.0))) in x 1.707 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.707 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.707 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.707 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sqrt 1.0)) in x 1.708 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.708 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.708 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.709 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.709 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [approximate]: Taking taylor expansion of (- (fma (tan (/ -1 x)) (sqrt 1.0) 1.0) (+ (pow (tan (/ -1 x)) 2) (* (tan (/ -1 x)) (sqrt 1.0)))) in (x) around 0 1.743 * [taylor]: Taking taylor expansion of (- (fma (tan (/ -1 x)) (sqrt 1.0) 1.0) (+ (pow (tan (/ -1 x)) 2) (* (tan (/ -1 x)) (sqrt 1.0)))) in x 1.743 * [taylor]: Taking taylor expansion of (fma (tan (/ -1 x)) (sqrt 1.0) 1.0) in x 1.743 * [taylor]: Rewrote expression to (+ (* (tan (/ -1 x)) (sqrt 1.0)) 1.0) 1.743 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sqrt 1.0)) in x 1.743 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.743 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.743 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.743 * [taylor]: Taking taylor expansion of -1 in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.744 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.744 * [taylor]: Taking taylor expansion of -1 in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.744 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) (* (tan (/ -1 x)) (sqrt 1.0))) in x 1.745 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.745 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.745 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.745 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.745 * [taylor]: Taking taylor expansion of -1 in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.745 * [taylor]: Taking taylor expansion of -1 in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sqrt 1.0)) in x 1.746 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.746 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.746 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.746 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.746 * [taylor]: Taking taylor expansion of -1 in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.746 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.746 * [taylor]: Taking taylor expansion of -1 in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.747 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.747 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [taylor]: Taking taylor expansion of (- (fma (tan (/ -1 x)) (sqrt 1.0) 1.0) (+ (pow (tan (/ -1 x)) 2) (* (tan (/ -1 x)) (sqrt 1.0)))) in x 1.748 * [taylor]: Taking taylor expansion of (fma (tan (/ -1 x)) (sqrt 1.0) 1.0) in x 1.748 * [taylor]: Rewrote expression to (+ (* (tan (/ -1 x)) (sqrt 1.0)) 1.0) 1.748 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sqrt 1.0)) in x 1.748 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.748 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.748 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.748 * [taylor]: Taking taylor expansion of -1 in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.748 * [taylor]: Taking taylor expansion of -1 in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.749 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) (* (tan (/ -1 x)) (sqrt 1.0))) in x 1.749 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.749 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.749 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.749 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.749 * [taylor]: Taking taylor expansion of -1 in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.750 * [taylor]: Taking taylor expansion of -1 in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sqrt 1.0)) in x 1.750 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.750 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.750 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.750 * [taylor]: Taking taylor expansion of -1 in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.751 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.751 * [taylor]: Taking taylor expansion of -1 in x 1.751 * [taylor]: Taking taylor expansion of x in x 1.751 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.751 * [taylor]: Taking taylor expansion of 1.0 in x 1.789 * * * [progress]: simplifying candidates 1.790 * [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 (+ (sqrt 1.0) (tan x))) (log1p (+ (sqrt 1.0) (tan x))) (* (exp (sqrt 1.0)) (exp (tan x))) (log (+ (sqrt 1.0) (tan x))) (exp (+ (sqrt 1.0) (tan x))) (* (cbrt (+ (sqrt 1.0) (tan x))) (cbrt (+ (sqrt 1.0) (tan x)))) (cbrt (+ (sqrt 1.0) (tan x))) (* (* (+ (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x))) (+ (sqrt 1.0) (tan x))) (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (+ (sqrt 1.0) (tan x))) (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (- (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x)) (expm1 (fma (tan x) (sqrt 1.0) 1.0)) (log1p (fma (tan x) (sqrt 1.0) 1.0)) (* (tan x) (sqrt 1.0)) (log (fma (tan x) (sqrt 1.0) 1.0)) (exp (fma (tan x) (sqrt 1.0) 1.0)) (* (cbrt (fma (tan x) (sqrt 1.0) 1.0)) (cbrt (fma (tan x) (sqrt 1.0) 1.0))) (cbrt (fma (tan x) (sqrt 1.0) 1.0)) (* (* (fma (tan x) (sqrt 1.0) 1.0) (fma (tan x) (sqrt 1.0) 1.0)) (fma (tan x) (sqrt 1.0) 1.0)) (sqrt (fma (tan x) (sqrt 1.0) 1.0)) (sqrt (fma (tan x) (sqrt 1.0) 1.0)) (expm1 (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (log1p (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (* (exp (fma (tan x) (sqrt 1.0) 1.0)) (exp (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (log (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (exp (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (* (cbrt (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (cbrt (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x)))))) (cbrt (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (* (* (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x)))) (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (sqrt (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (sqrt (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (+ (pow (fma (tan x) (sqrt 1.0) 1.0) 3) (pow (* (- (tan x)) (+ (sqrt 1.0) (tan x))) 3)) (+ (* (fma (tan x) (sqrt 1.0) 1.0) (fma (tan x) (sqrt 1.0) 1.0)) (- (* (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (* (- (tan x)) (+ (sqrt 1.0) (tan x)))) (* (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x)))))) (- (* (fma (tan x) (sqrt 1.0) 1.0) (fma (tan x) (sqrt 1.0) 1.0)) (* (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (- (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x)))) (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (sqrt 1.0))) (+ (fma (tan x) (sqrt 1.0) 1.0) (* (sqrt 1.0) (- (tan x)))) (+ 1.0 (* (- (tan x)) (+ (sqrt 1.0) (tan x)))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (* 1/3 (pow x 3)) (+ (sqrt 1.0) x)) (+ (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x))) (+ (* x (sqrt 1.0)) (+ (* 1/3 (* (pow x 3) (sqrt 1.0))) 1.0)) (+ (/ (* (sqrt 1.0) (sin x)) (cos x)) 1.0) (+ (/ (* (sqrt 1.0) (sin x)) (cos x)) 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))) 1.796 * * [simplify]: iteration 0 : 312 enodes (cost 521 ) 1.802 * * [simplify]: iteration 1 : 1345 enodes (cost 466 ) 1.831 * * [simplify]: iteration 2 : 5001 enodes (cost 438 ) 1.833 * [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 (+ (sqrt 1.0) (tan x))) (log1p (+ (sqrt 1.0) (tan x))) (exp (+ (sqrt 1.0) (tan x))) (log (+ (sqrt 1.0) (tan x))) (exp (+ (sqrt 1.0) (tan x))) (* (cbrt (+ (sqrt 1.0) (tan x))) (cbrt (+ (sqrt 1.0) (tan x)))) (cbrt (+ (sqrt 1.0) (tan x))) (pow (+ (sqrt 1.0) (tan x)) 3) (sqrt (+ (sqrt 1.0) (tan x))) (sqrt (+ (sqrt 1.0) (tan x))) (fma 1.0 (sqrt 1.0) (pow (tan x) 3)) (fma (tan x) (- (tan x) (sqrt 1.0)) 1.0) (fma (- (tan x)) (tan x) 1.0) (- (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x)) (expm1 (fma (tan x) (sqrt 1.0) 1.0)) (log1p (fma (tan x) (sqrt 1.0) 1.0)) (* (sqrt 1.0) (tan x)) (log (fma (tan x) (sqrt 1.0) 1.0)) (exp (fma (tan x) (sqrt 1.0) 1.0)) (* (cbrt (fma (tan x) (sqrt 1.0) 1.0)) (cbrt (fma (tan x) (sqrt 1.0) 1.0))) (cbrt (fma (tan x) (sqrt 1.0) 1.0)) (pow (fma (tan x) (sqrt 1.0) 1.0) 3) (sqrt (fma (tan x) (sqrt 1.0) 1.0)) (sqrt (fma (tan x) (sqrt 1.0) 1.0)) (expm1 (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (log1p (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (/ (exp 1.0) (exp (* (tan x) (tan x)))) (+ (log (+ (sqrt 1.0) (tan x))) (log (- (sqrt 1.0) (tan x)))) (/ (exp 1.0) (exp (* (tan x) (tan x)))) (* (cbrt (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (cbrt (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x)))))) (cbrt (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (* (pow (+ (sqrt 1.0) (tan x)) 3) (pow (- (sqrt 1.0) (tan x)) 3)) (sqrt (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (sqrt (+ (fma (tan x) (sqrt 1.0) 1.0) (* (- (tan x)) (+ (sqrt 1.0) (tan x))))) (+ (pow (fma (tan x) (sqrt 1.0) 1.0) 3) (pow (* (- (tan x)) (+ (sqrt 1.0) (tan x))) 3)) (fma (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (- (* (- (tan x)) (+ (sqrt 1.0) (tan x))) (fma (tan x) (sqrt 1.0) 1.0)) (* (fma (tan x) (sqrt 1.0) 1.0) (fma (tan x) (sqrt 1.0) 1.0))) (* (fma (- (tan x)) (tan x) 1.0) (* (+ (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x)))) (* (+ (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x))) (fma (sqrt 1.0) (- (tan x)) (fma (tan x) (sqrt 1.0) 1.0)) (fma (sqrt 1.0) (- (tan x)) (fma (tan x) (sqrt 1.0) 1.0)) (fma (- (tan x)) (+ (sqrt 1.0) (tan x)) 1.0) (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 1/3 (pow x 3) (+ (sqrt 1.0) x)) (+ (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x))) (fma (sqrt 1.0) (+ x (* 1/3 (pow x 3))) 1.0) (fma (/ (sqrt 1.0) (cos x)) (sin x) 1.0) (fma (/ (sqrt 1.0) (cos x)) (sin x) 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))) 1.834 * * * [progress]: adding candidates to table 2.035 * * [progress]: iteration 4 / 4 2.035 * * * [progress]: picking best candidate 2.060 * * * * [pick]: Picked # 2.060 * * * [progress]: localizing error 2.074 * * * [progress]: generating rewritten candidates 2.074 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.079 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.085 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.095 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 2.106 * * * [progress]: generating series expansions 2.106 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.106 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 2.106 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.106 * [taylor]: Taking taylor expansion of (tan x) in x 2.106 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.106 * [taylor]: Taking taylor expansion of (sin x) in x 2.106 * [taylor]: Taking taylor expansion of x in x 2.106 * [taylor]: Taking taylor expansion of (cos x) in x 2.106 * [taylor]: Taking taylor expansion of x in x 2.107 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.107 * [taylor]: Taking taylor expansion of (tan x) in x 2.107 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.107 * [taylor]: Taking taylor expansion of (sin x) in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.108 * [taylor]: Taking taylor expansion of (cos x) in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.120 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 2.121 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.121 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.121 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.121 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.121 * [taylor]: Taking taylor expansion of x in x 2.121 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.121 * [taylor]: Taking taylor expansion of x in x 2.121 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.121 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.121 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.121 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.122 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.129 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 2.129 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.129 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.129 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.129 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.129 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.129 * [taylor]: Taking taylor expansion of -1 in x 2.129 * [taylor]: Taking taylor expansion of x in x 2.129 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.129 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.129 * [taylor]: Taking taylor expansion of -1 in x 2.129 * [taylor]: Taking taylor expansion of x in x 2.130 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.130 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.130 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.130 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.130 * [taylor]: Taking taylor expansion of -1 in x 2.130 * [taylor]: Taking taylor expansion of x in x 2.130 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.130 * [taylor]: Taking taylor expansion of -1 in x 2.130 * [taylor]: Taking taylor expansion of x in x 2.137 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.137 * [approximate]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in (x) around 0 2.137 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x 2.137 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 2.137 * [taylor]: Taking taylor expansion of (tan x) in x 2.137 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.137 * [taylor]: Taking taylor expansion of (sin x) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of (cos x) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.138 * [taylor]: Taking taylor expansion of (sin x) in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.138 * [taylor]: Taking taylor expansion of (cos x) in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.141 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x 2.141 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 2.141 * [taylor]: Taking taylor expansion of (tan x) in x 2.141 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.141 * [taylor]: Taking taylor expansion of (sin x) in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.141 * [taylor]: Taking taylor expansion of (cos x) in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.141 * [taylor]: Taking taylor expansion of (sin x) in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.141 * [taylor]: Taking taylor expansion of (cos x) in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.169 * [approximate]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in (x) around 0 2.169 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x 2.169 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 2.169 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.169 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.169 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.169 * [taylor]: Taking taylor expansion of x in x 2.170 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.170 * [taylor]: Taking taylor expansion of x in x 2.170 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.170 * [taylor]: Taking taylor expansion of x in x 2.170 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.171 * [taylor]: Taking taylor expansion of x in x 2.171 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x 2.171 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 2.171 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.171 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.171 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.171 * [taylor]: Taking taylor expansion of x in x 2.172 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.172 * [taylor]: Taking taylor expansion of x in x 2.172 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.172 * [taylor]: Taking taylor expansion of x in x 2.172 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.172 * [taylor]: Taking taylor expansion of x in x 2.186 * [approximate]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in (x) around 0 2.186 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x 2.186 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 2.186 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.186 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.186 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.186 * [taylor]: Taking taylor expansion of -1 in x 2.186 * [taylor]: Taking taylor expansion of x in x 2.187 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.187 * [taylor]: Taking taylor expansion of -1 in x 2.187 * [taylor]: Taking taylor expansion of x in x 2.187 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.187 * [taylor]: Taking taylor expansion of -1 in x 2.187 * [taylor]: Taking taylor expansion of x in x 2.188 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.188 * [taylor]: Taking taylor expansion of -1 in x 2.188 * [taylor]: Taking taylor expansion of x in x 2.188 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x 2.188 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 2.188 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.188 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.188 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.188 * [taylor]: Taking taylor expansion of -1 in x 2.188 * [taylor]: Taking taylor expansion of x in x 2.189 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.189 * [taylor]: Taking taylor expansion of -1 in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.189 * [taylor]: Taking taylor expansion of -1 in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.190 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.190 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.190 * [taylor]: Taking taylor expansion of -1 in x 2.190 * [taylor]: Taking taylor expansion of x in x 2.199 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.199 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ (pow (tan x) 2) 1.0)) in (x) around 0 2.199 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ (pow (tan x) 2) 1.0)) in x 2.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in x 2.199 * [taylor]: Taking taylor expansion of 1.0 in x 2.199 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x 2.199 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 2.199 * [taylor]: Taking taylor expansion of (tan x) in x 2.199 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.199 * [taylor]: Taking taylor expansion of (sin x) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (cos x) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.200 * [taylor]: Taking taylor expansion of (sin x) in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.200 * [taylor]: Taking taylor expansion of (cos x) in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.203 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 2.203 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.203 * [taylor]: Taking taylor expansion of (tan x) in x 2.203 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.203 * [taylor]: Taking taylor expansion of (sin x) in x 2.203 * [taylor]: Taking taylor expansion of x in x 2.203 * [taylor]: Taking taylor expansion of (cos x) in x 2.203 * [taylor]: Taking taylor expansion of x in x 2.203 * [taylor]: Taking taylor expansion of 1.0 in x 2.204 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ (pow (tan x) 2) 1.0)) in x 2.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in x 2.204 * [taylor]: Taking taylor expansion of 1.0 in x 2.204 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x 2.204 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 2.204 * [taylor]: Taking taylor expansion of (tan x) in x 2.204 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.204 * [taylor]: Taking taylor expansion of (sin x) in x 2.204 * [taylor]: Taking taylor expansion of x in x 2.204 * [taylor]: Taking taylor expansion of (cos x) in x 2.205 * [taylor]: Taking taylor expansion of x in x 2.205 * [taylor]: Taking taylor expansion of (sin x) in x 2.205 * [taylor]: Taking taylor expansion of x in x 2.205 * [taylor]: Taking taylor expansion of (cos x) in x 2.205 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 2.208 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.208 * [taylor]: Taking taylor expansion of (tan x) in x 2.208 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.208 * [taylor]: Taking taylor expansion of (sin x) in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of (cos x) in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of 1.0 in x 2.233 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 2.233 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 2.233 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in x 2.233 * [taylor]: Taking taylor expansion of 1.0 in x 2.233 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x 2.233 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 2.233 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.233 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.233 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.233 * [taylor]: Taking taylor expansion of x in x 2.234 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.234 * [taylor]: Taking taylor expansion of x in x 2.234 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.234 * [taylor]: Taking taylor expansion of x in x 2.234 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.234 * [taylor]: Taking taylor expansion of x in x 2.235 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 2.235 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.235 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.235 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.235 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.235 * [taylor]: Taking taylor expansion of x in x 2.235 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.235 * [taylor]: Taking taylor expansion of x in x 2.236 * [taylor]: Taking taylor expansion of 1.0 in x 2.237 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 2.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in x 2.237 * [taylor]: Taking taylor expansion of 1.0 in x 2.237 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x 2.237 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 2.237 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.237 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.237 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.237 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.238 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.238 * [taylor]: Taking taylor expansion of x in x 2.238 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.238 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 2.239 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.239 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.239 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.239 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.240 * [taylor]: Taking taylor expansion of 1.0 in x 2.268 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 2.268 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 2.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in x 2.268 * [taylor]: Taking taylor expansion of 1.0 in x 2.268 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x 2.268 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 2.268 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.268 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.268 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.268 * [taylor]: Taking taylor expansion of -1 in x 2.268 * [taylor]: Taking taylor expansion of x in x 2.269 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.269 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.269 * [taylor]: Taking taylor expansion of -1 in x 2.269 * [taylor]: Taking taylor expansion of x in x 2.269 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.269 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.269 * [taylor]: Taking taylor expansion of -1 in x 2.269 * [taylor]: Taking taylor expansion of x in x 2.270 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.270 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.270 * [taylor]: Taking taylor expansion of -1 in x 2.270 * [taylor]: Taking taylor expansion of x in x 2.270 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 2.270 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.270 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.270 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.270 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.270 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.270 * [taylor]: Taking taylor expansion of -1 in x 2.270 * [taylor]: Taking taylor expansion of x in x 2.271 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.271 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.271 * [taylor]: Taking taylor expansion of -1 in x 2.271 * [taylor]: Taking taylor expansion of x in x 2.271 * [taylor]: Taking taylor expansion of 1.0 in x 2.272 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 2.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in x 2.272 * [taylor]: Taking taylor expansion of 1.0 in x 2.272 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x 2.272 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 2.272 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.272 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.272 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.272 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.272 * [taylor]: Taking taylor expansion of -1 in x 2.272 * [taylor]: Taking taylor expansion of x in x 2.273 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.273 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.273 * [taylor]: Taking taylor expansion of -1 in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.273 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.273 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.273 * [taylor]: Taking taylor expansion of -1 in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.277 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.278 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.278 * [taylor]: Taking taylor expansion of -1 in x 2.278 * [taylor]: Taking taylor expansion of x in x 2.278 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 2.278 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.278 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.278 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.278 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.278 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.278 * [taylor]: Taking taylor expansion of -1 in x 2.278 * [taylor]: Taking taylor expansion of x in x 2.279 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.279 * [taylor]: Taking taylor expansion of -1 in x 2.279 * [taylor]: Taking taylor expansion of x in x 2.279 * [taylor]: Taking taylor expansion of 1.0 in x 2.308 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.308 * [approximate]: Taking taylor expansion of (* (tan x) (sin x)) in (x) around 0 2.308 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 2.308 * [taylor]: Taking taylor expansion of (tan x) in x 2.308 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.308 * [taylor]: Taking taylor expansion of (sin x) in x 2.308 * [taylor]: Taking taylor expansion of x in x 2.308 * [taylor]: Taking taylor expansion of (cos x) in x 2.308 * [taylor]: Taking taylor expansion of x in x 2.309 * [taylor]: Taking taylor expansion of (sin x) in x 2.309 * [taylor]: Taking taylor expansion of x in x 2.309 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x 2.309 * [taylor]: Taking taylor expansion of (tan x) in x 2.309 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.309 * [taylor]: Taking taylor expansion of (sin x) in x 2.309 * [taylor]: Taking taylor expansion of x in x 2.309 * [taylor]: Taking taylor expansion of (cos x) in x 2.309 * [taylor]: Taking taylor expansion of x in x 2.309 * [taylor]: Taking taylor expansion of (sin x) in x 2.309 * [taylor]: Taking taylor expansion of x in x 2.331 * [approximate]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in (x) around 0 2.331 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 2.331 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.331 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.332 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.333 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x 2.333 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.333 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.333 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.333 * [taylor]: Taking taylor expansion of x in x 2.333 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.333 * [taylor]: Taking taylor expansion of x in x 2.333 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.333 * [taylor]: Taking taylor expansion of x in x 2.340 * [approximate]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in (x) around 0 2.340 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 2.340 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.340 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.340 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.340 * [taylor]: Taking taylor expansion of -1 in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.341 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.341 * [taylor]: Taking taylor expansion of -1 in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.341 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.341 * [taylor]: Taking taylor expansion of -1 in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x 2.341 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.341 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.341 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.341 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.341 * [taylor]: Taking taylor expansion of -1 in x 2.342 * [taylor]: Taking taylor expansion of x in x 2.342 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.342 * [taylor]: Taking taylor expansion of -1 in x 2.342 * [taylor]: Taking taylor expansion of x in x 2.342 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.342 * [taylor]: Taking taylor expansion of -1 in x 2.342 * [taylor]: Taking taylor expansion of x in x 2.349 * * * [progress]: simplifying candidates 2.351 * [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) (sin x)) (cos x))) (log1p (/ (* (tan x) (sin x)) (cos x))) (- (+ (log (tan x)) (log (sin x))) (log (cos x))) (- (log (* (tan x) (sin x))) (log (cos x))) (log (/ (* (tan x) (sin x)) (cos x))) (exp (/ (* (tan x) (sin x)) (cos x))) (/ (* (* (* (tan x) (tan x)) (tan x)) (* (* (sin x) (sin x)) (sin x))) (* (* (cos x) (cos x)) (cos x))) (/ (* (* (* (tan x) (sin x)) (* (tan x) (sin x))) (* (tan x) (sin x))) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (/ (* (tan x) (sin x)) (cos x))) (cbrt (/ (* (tan x) (sin x)) (cos x)))) (cbrt (/ (* (tan x) (sin x)) (cos x))) (* (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x))) (/ (* (tan x) (sin x)) (cos x))) (sqrt (/ (* (tan x) (sin x)) (cos x))) (sqrt (/ (* (tan x) (sin x)) (cos x))) (- (* (tan x) (sin x))) (- (cos x)) (/ (tan x) (* (cbrt (cos x)) (cbrt (cos x)))) (/ (sin x) (cbrt (cos x))) (/ (tan x) (sqrt (cos x))) (/ (sin x) (sqrt (cos x))) (/ (tan x) 1) (/ (sin x) (cos x)) (/ 1 (cos x)) (/ (cos x) (* (tan x) (sin x))) (/ (* (tan x) (sin x)) (* (cbrt (cos x)) (cbrt (cos x)))) (/ (* (tan x) (sin x)) (sqrt (cos x))) (/ (* (tan x) (sin x)) 1) (/ (cos x) (sin x)) (* (cos x) (cos x)) (expm1 (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (log1p (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (- (log (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (log (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (/ (* (* (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (* (* (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (- (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (- (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (/ (* (tan x) (sin x)) (cos x)) (+ 1.0 (* (tan x) (tan x)))) (/ (* (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x))))) 1) (/ (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) 1) (/ (sqrt (- 1.0 (/ (* (tan x) (sin x)) (cos 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) (sin x)) (cos x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 1) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos x)))) 1) (/ (- (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos 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) (sin x)) (cos x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 1) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) 1) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (/ (* (tan x) (sin x)) (cos x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos 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) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x))) (* 1.0 (/ (* (tan x) (sin x)) (cos x)))))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (/ (* (tan x) (sin x)) (cos x)))) (expm1 (* (tan x) (sin x))) (log1p (* (tan x) (sin x))) (* (tan x) (sin x)) (+ (log (tan x)) (log (sin x))) (log (* (tan x) (sin x))) (exp (* (tan x) (sin x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (* (tan x) (sin x))) (cbrt (* (tan x) (sin x)))) (cbrt (* (tan x) (sin x))) (* (* (* (tan x) (sin x)) (* (tan x) (sin x))) (* (tan x) (sin x))) (sqrt (* (tan x) (sin x))) (sqrt (* (tan x) (sin x))) (* (sqrt (tan x)) (sqrt (sin x))) (* (sqrt (tan x)) (sqrt (sin x))) (* (tan x) (* (cbrt (sin x)) (cbrt (sin x)))) (* (tan x) (sqrt (sin x))) (* (tan x) 1) (* (cbrt (tan x)) (sin x)) (* (sqrt (tan x)) (sin x)) (* (tan x) (sin x)) (* (sin x) (sin 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)) (+ (pow x 2) (+ (* 31/360 (pow x 6)) (* 1/6 (pow x 4)))) (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 2) (cos x)) 2.358 * * [simplify]: iteration 0 : 455 enodes (cost 1207 ) 2.367 * * [simplify]: iteration 1 : 1904 enodes (cost 1099 ) 2.403 * * [simplify]: iteration 2 : 5001 enodes (cost 1091 ) 2.413 * [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) (* 2 3)) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) (* 2 3)) (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) (sin x)) (cos x))) (log1p (/ (* (tan x) (sin x)) (cos x))) (log (/ (* (tan x) (sin x)) (cos x))) (log (/ (* (tan x) (sin x)) (cos x))) (log (/ (* (tan x) (sin x)) (cos x))) (exp (/ (* (tan x) (sin x)) (cos x))) (pow (/ (* (tan x) (sin x)) (cos x)) 3) (pow (/ (* (tan x) (sin x)) (cos x)) 3) (* (cbrt (/ (* (tan x) (sin x)) (cos x))) (cbrt (/ (* (tan x) (sin x)) (cos x)))) (cbrt (/ (* (tan x) (sin x)) (cos x))) (pow (/ (* (tan x) (sin x)) (cos x)) 3) (sqrt (/ (* (tan x) (sin x)) (cos x))) (sqrt (/ (* (tan x) (sin x)) (cos x))) (- (* (tan x) (sin x))) (- (cos x)) (/ (tan x) (* (cbrt (cos x)) (cbrt (cos x)))) (/ (sin x) (cbrt (cos x))) (/ (tan x) (sqrt (cos x))) (/ (sin x) (sqrt (cos x))) (tan x) (/ (sin x) (cos x)) (/ 1 (cos x)) (/ (cos x) (* (tan x) (sin x))) (/ (* (tan x) (sin x)) (* (cbrt (cos x)) (cbrt (cos x)))) (/ (* (tan x) (sin x)) (sqrt (cos x))) (* (tan x) (sin x)) (/ (cos x) (sin x)) (pow (cos x) 2) (expm1 (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (log1p (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))) 3) (* (cbrt (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))) 3) (sqrt (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (- (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (- (+ 1.0 (* (tan x) (tan x)))) (/ (/ 1.0 1) (fma (tan x) (tan x) 1.0)) (* (/ (tan x) (fma (tan x) (tan x) 1.0)) (/ (sin x) (cos x))) (/ (* (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (/ (* (tan x) (sin x)) (cos x)))) 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(* (tan x) (tan x)))))) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (fma (tan x) (tan x) 1.0)) (/ (+ (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (+ (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos x)))) (/ (- (sqrt 1.0) (sqrt (/ (* (tan x) (sin x)) (cos 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) (sin x)) (cos x))) (cbrt (+ 1.0 (* (tan x) (tan 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1.0 3))) (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (fma 1.0 1.0 (* (- (pow (tan x) 3)) (tan x)))) (* (+ (* (/ (* (tan x) (sin x)) (cos x)) (+ (/ (* (tan x) (sin x)) (cos x)) 1.0)) (* 1.0 1.0)) (+ 1.0 (* (tan x) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (/ (* (tan x) (sin x)) (cos x)))) (expm1 (* (tan x) (sin x))) (log1p (* (tan x) (sin x))) (* (tan x) (sin x)) (log (* (tan x) (sin x))) (log (* (tan x) (sin x))) (exp (* (tan x) (sin x))) (pow (* (tan x) (sin x)) 3) (* (cbrt (* (tan x) (sin x))) (cbrt (* (tan x) (sin x)))) (cbrt (* (tan x) (sin x))) (pow (* (tan x) (sin x)) 3) (sqrt (* (tan x) (sin x))) (sqrt (* (tan x) (sin x))) (* (sqrt (tan x)) (sqrt (sin x))) (* (sqrt (tan x)) (sqrt (sin x))) (* (tan x) (* (cbrt (sin x)) (cbrt (sin x)))) (* (tan x) (sqrt (sin x))) (tan x) (* (cbrt (tan x)) (sin x)) (* (sqrt (tan x)) (sin x)) (* (tan x) (sin x)) (pow (sin x) 2) (fma x x (fma 17/45 (pow x 6) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (fma x x (fma 17/45 (pow x 6) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (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)) (fma x x (fma 31/360 (pow x 6) (* 1/6 (pow x 4)))) (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 2) (cos x)) 2.414 * * * [progress]: adding candidates to table 2.676 * [progress]: [Phase 3 of 3] Extracting. 2.676 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 2.683 * * * [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) 2.684 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # # # # # #) 2.730 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # # #) 2.764 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # # # # # # # # # #) 2.807 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # #) 2.824 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) from (# # # # # # # # # # # # #) 2.867 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) from (# # #) 2.885 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 2.925 * * * [regime]: Found split indices: #