0.812 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.281 * * * [progress]: [2/2] Setting up program. 0.284 * [progress]: [Phase 2 of 3] Improving. 0.286 * [simplify]: Simplifying using # : (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.289 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 0.291 * * [simplify]: iteration 1 : 21 enodes (cost 9 ) 0.292 * * [simplify]: iteration 2 : 26 enodes (cost 9 ) 0.293 * * [simplify]: iteration 3 : 34 enodes (cost 9 ) 0.295 * * [simplify]: iteration 4 : 37 enodes (cost 9 ) 0.296 * * [simplify]: iteration 5 : 37 enodes (cost 9 ) 0.296 * [simplify]: Simplified to: (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.298 * * [progress]: iteration 1 / 4 0.298 * * * [progress]: picking best candidate 0.300 * * * * [pick]: Picked # 0.300 * * * [progress]: localizing error 0.309 * * * [progress]: generating rewritten candidates 0.310 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.317 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.322 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.338 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.353 * * * [progress]: generating series expansions 0.353 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.370 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.370 * [taylor]: Taking taylor expansion of (tan x) in x 0.372 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.372 * [taylor]: Taking taylor expansion of (sin x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (cos x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.373 * [taylor]: Taking taylor expansion of (tan x) in x 0.374 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.374 * [taylor]: Taking taylor expansion of (sin x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (cos x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.390 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.390 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.390 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.390 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.391 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.391 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.391 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.399 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.399 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.399 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.399 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.399 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.399 * [taylor]: Taking taylor expansion of -1 in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.400 * [taylor]: Taking taylor expansion of -1 in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.400 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.400 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.400 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.400 * [taylor]: Taking taylor expansion of -1 in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.401 * [taylor]: Taking taylor expansion of -1 in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.409 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.409 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 0.409 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.409 * [taylor]: Taking taylor expansion of (tan x) in x 0.410 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.410 * [taylor]: Taking taylor expansion of (sin x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (cos x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.410 * [taylor]: Taking taylor expansion of (tan x) in x 0.410 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.410 * [taylor]: Taking taylor expansion of (sin x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (cos x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.424 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 0.424 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.424 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.424 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.424 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.424 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.425 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.425 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.432 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 0.432 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.432 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.432 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.432 * [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 -1 in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.433 * [taylor]: Taking taylor expansion of -1 in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.433 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.433 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.433 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.433 * [taylor]: Taking taylor expansion of -1 in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.434 * [taylor]: Taking taylor expansion of -1 in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.441 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.441 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.441 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.441 * [taylor]: Taking taylor expansion of (tan x) in x 0.441 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.441 * [taylor]: Taking taylor expansion of (sin x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (cos x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.442 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.442 * [taylor]: Taking taylor expansion of (tan x) in x 0.442 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.442 * [taylor]: Taking taylor expansion of (sin x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (cos x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 0.444 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.444 * [taylor]: Taking taylor expansion of (tan x) in x 0.444 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.444 * [taylor]: Taking taylor expansion of (sin x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (cos x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 0.445 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.445 * [taylor]: Taking taylor expansion of (tan x) in x 0.445 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.445 * [taylor]: Taking taylor expansion of (sin x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (cos x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.471 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 0.471 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.471 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.471 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.471 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 0.472 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.472 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.472 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.472 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.475 * [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 (+ (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 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.504 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.505 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.505 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.505 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.505 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.505 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.505 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.506 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.506 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 0.508 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.508 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.508 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.508 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 0.509 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.509 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.509 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.509 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.509 * [taylor]: Taking taylor expansion of -1 in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.509 * [taylor]: Taking taylor expansion of -1 in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.537 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0 0.537 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.537 * [taylor]: Taking taylor expansion of (tan x) in x 0.537 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.537 * [taylor]: Taking taylor expansion of (sin x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (cos x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 0.538 * [taylor]: Taking taylor expansion of (tan x) in x 0.538 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.538 * [taylor]: Taking taylor expansion of (sin x) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (cos x) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.546 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.546 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.546 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.546 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 0.547 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.547 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.547 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.560 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 0.560 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.560 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.560 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.560 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.561 * [taylor]: Taking taylor expansion of -1 in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.561 * [taylor]: Taking taylor expansion of -1 in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 0.561 * [taylor]: Taking taylor expansion of 1.0 in x 0.561 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 0.561 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.561 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.561 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.561 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.562 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.572 * * * [progress]: simplifying candidates 0.576 * [simplify]: Simplifying using # : (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (- (log (- 1.0 (* (tan x) (tan x)))) (log (+ 1.0 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(/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 0.583 * * [simplify]: iteration 0 : 354 enodes (cost 1571 ) 0.590 * * [simplify]: iteration 1 : 1198 enodes (cost 1497 ) 0.615 * * [simplify]: iteration 2 : 5002 enodes (cost 1482 ) 0.622 * [simplify]: Simplified to: 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) 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x) (tan x)))) (/ (/ (+ (fabs (tan x)) (sqrt 1.0)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (sqrt (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (fabs (tan x)) (sqrt 1.0)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (sqrt (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (+ (fabs (tan x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (+ (fabs (tan x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (+ (fabs (tan x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (* (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))))) (+ (tan x) (sqrt 1.0)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (+ (tan x) (sqrt 1.0)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (+ (tan x) (sqrt 1.0)) (/ (- (sqrt 1.0) (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))))) (+ (tan x) (sqrt 1.0)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (+ (tan x) (sqrt 1.0)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (+ (tan x) (sqrt 1.0)) (/ (- (sqrt 1.0) (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))))) (+ (tan x) (sqrt 1.0)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (+ (tan x) (sqrt 1.0)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (+ (tan x) (sqrt 1.0)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (sqrt (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (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))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (/ (* 1.0 1.0) 1) (/ (pow (tan x) 4) 1))) (* (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (+ 1.0 (* (tan x) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (pow (- 1.0 (* (tan x) (tan x))) 3) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (- (* (tan x) (tan x))) (- (/ (* 1.0 1.0) 1) (/ (pow (tan x) 4) 1)) (+ 1.0 (* (tan x) (tan x))) (+ (tan x) (sqrt 1.0)) (- (sqrt 1.0) (tan x)) (+ (fabs (tan x)) (sqrt 1.0)) (+ (sqrt 1.0) (- (fabs (tan x)))) (+ (tan x) (sqrt 1.0)) (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0)) (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0)) (- (sqrt 1.0) (tan x)) (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (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))) 0.623 * * * [progress]: adding candidates to table 0.862 * * [progress]: iteration 2 / 4 0.863 * * * [progress]: picking best candidate 0.885 * * * * [pick]: Picked # 0.885 * * * [progress]: localizing error 0.898 * * * [progress]: generating rewritten candidates 0.898 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.901 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.904 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.906 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.910 * * * [progress]: generating series expansions 0.910 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.910 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 0.910 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.910 * [taylor]: Taking taylor expansion of (sin x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.911 * [taylor]: Taking taylor expansion of (sin x) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.919 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 0.919 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 0.919 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 0.919 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.924 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 0.925 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 0.925 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.925 * [taylor]: Taking taylor expansion of -1 in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 0.925 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.925 * [taylor]: Taking taylor expansion of -1 in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.930 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.930 * [approximate]: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 0.930 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.930 * [taylor]: Taking taylor expansion of (sin x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x 0.931 * [taylor]: Taking taylor expansion of (sin x) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.938 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in (x) around 0 0.938 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 0.938 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in x 0.939 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.944 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in (x) around 0 0.944 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 0.944 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.944 * [taylor]: Taking taylor expansion of -1 in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in x 0.944 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.944 * [taylor]: Taking taylor expansion of -1 in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.949 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.949 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 0.949 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.949 * [taylor]: Taking taylor expansion of (cos x) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.949 * [taylor]: Taking taylor expansion of (cos x) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.959 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 0.959 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.959 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.959 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.964 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 0.964 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.964 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.964 * [taylor]: Taking taylor expansion of -1 in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.965 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.965 * [taylor]: Taking taylor expansion of -1 in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.970 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 0.970 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 0.970 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.970 * [taylor]: Taking taylor expansion of (cos x) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.970 * [taylor]: Taking taylor expansion of (cos x) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.976 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 0.976 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.976 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.976 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.981 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 0.981 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.981 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.982 * [taylor]: Taking taylor expansion of -1 in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.982 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.982 * [taylor]: Taking taylor expansion of -1 in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.987 * * * [progress]: simplifying candidates 0.988 * [simplify]: Simplifying using # : (* (log (sin x)) 2) (* (log (sin x)) 2) (* 1 2) (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (pow (sin x) 1) (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) (pow (cbrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow 1 2) (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (* (* (pow (sin x) 2) (pow (sin x) 2)) (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (* (log (sin x)) 2) (* (log (sin x)) 2) (* 1 2) (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (pow (sin x) 1) (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) (pow (cbrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow (sqrt (sin x)) 2) (pow 1 2) (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (* (* (pow (sin x) 2) (pow (sin x) 2)) (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (sqrt (pow (sin x) 2)) (pow (sin x) (/ 2 2)) (pow (sin x) (/ 2 2)) (* (log (cos x)) 2) (* (log (cos x)) 2) (* 1 2) (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) (pow (cbrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow 1 2) (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (* (* (pow (cos x) 2) (pow (cos x) 2)) (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (* (log (cos x)) 2) (* (log (cos x)) 2) (* 1 2) (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) (pow (cbrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow (sqrt (cos x)) 2) (pow 1 2) (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (* (* (pow (cos x) 2) (pow (cos x) 2)) (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (sqrt (pow (cos x) 2)) (pow (cos x) (/ 2 2)) (pow (cos x) (/ 2 2)) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) 0.992 * * [simplify]: iteration 0 : 141 enodes (cost 284 ) 0.995 * * [simplify]: iteration 1 : 469 enodes (cost 240 ) 1.004 * * [simplify]: iteration 2 : 1590 enodes (cost 240 ) 1.045 * * [simplify]: iteration 3 : 5001 enodes (cost 236 ) 1.047 * [simplify]: Simplified to: (log (pow (sin x) 2)) (log (pow (sin x) 2)) 2 (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (sin x) (pow (cbrt (sin x)) 4) (pow (cbrt (sin x)) 2) (sin x) (sin x) 1 (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (pow (sin x) 6) (fabs (sin x)) (fabs (sin x)) (sin x) (sin x) (log (pow (sin x) 2)) (log (pow (sin x) 2)) 2 (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (sin x) (pow (cbrt (sin x)) 4) (pow (cbrt (sin x)) 2) (sin x) (sin x) 1 (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (pow (sin x) 6) (fabs (sin x)) (fabs (sin x)) (sin x) (sin x) (log (pow (cos x) 2)) (log (pow (cos x) 2)) 2 (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (cos x) (pow (cbrt (cos x)) 4) (pow (cbrt (cos x)) 2) (cos x) (cos x) 1 (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (cos x) (cos x) (log (pow (cos x) 2)) (log (pow (cos x) 2)) 2 (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (cos x) (pow (cbrt (cos x)) 4) (pow (cbrt (cos x)) 2) (cos x) (cos x) 1 (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (cos x) (cos x) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) 1.048 * * * [progress]: adding candidates to table 1.232 * * [progress]: iteration 3 / 4 1.232 * * * [progress]: picking best candidate 1.252 * * * * [pick]: Picked # 1.252 * * * [progress]: localizing error 1.268 * * * [progress]: generating rewritten candidates 1.268 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.276 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 1.281 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1) 1.287 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.296 * * * [progress]: generating series expansions 1.296 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.296 * [approximate]: Taking taylor expansion of (pow (pow (tan x) 2) 3) in (x) around 0 1.296 * [taylor]: Taking taylor expansion of (pow (pow (tan x) 2) 3) in x 1.296 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.296 * [taylor]: Taking taylor expansion of (tan x) in x 1.296 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.296 * [taylor]: Taking taylor expansion of (sin x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (cos x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of (pow (pow (tan x) 2) 3) in x 1.298 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.298 * [taylor]: Taking taylor expansion of (tan x) in x 1.298 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.298 * [taylor]: Taking taylor expansion of (sin x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of (cos x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.317 * [approximate]: Taking taylor expansion of (pow (pow (tan (/ 1 x)) 2) 3) in (x) around 0 1.317 * [taylor]: Taking taylor expansion of (pow (pow (tan (/ 1 x)) 2) 3) in x 1.317 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.317 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.317 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.317 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (pow (pow (tan (/ 1 x)) 2) 3) in x 1.318 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.318 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.318 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.318 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.341 * [approximate]: Taking taylor expansion of (pow (pow (tan (/ -1 x)) 2) 3) in (x) around 0 1.341 * [taylor]: Taking taylor expansion of (pow (pow (tan (/ -1 x)) 2) 3) in x 1.341 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.341 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.341 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.341 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.341 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.341 * [taylor]: Taking taylor expansion of -1 in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.342 * [taylor]: Taking taylor expansion of -1 in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (pow (pow (tan (/ -1 x)) 2) 3) in x 1.342 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.342 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.342 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.342 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.342 * [taylor]: Taking taylor expansion of -1 in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.343 * [taylor]: Taking taylor expansion of -1 in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.362 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 1.362 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.362 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.362 * [taylor]: Taking taylor expansion of (tan x) in x 1.362 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.362 * [taylor]: Taking taylor expansion of (sin x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of (cos x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.363 * [taylor]: Taking taylor expansion of (tan x) in x 1.363 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.363 * [taylor]: Taking taylor expansion of (sin x) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (cos x) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.376 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.376 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.376 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.376 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.377 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.377 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.377 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.377 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.378 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.385 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.385 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.385 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.385 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.385 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.385 * [taylor]: Taking taylor expansion of -1 in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.386 * [taylor]: Taking taylor expansion of -1 in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.386 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.386 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.386 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.386 * [taylor]: Taking taylor expansion of -1 in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.387 * [taylor]: Taking taylor expansion of -1 in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.394 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1) 1.394 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.394 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.394 * [taylor]: Taking taylor expansion of (tan x) in x 1.394 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.394 * [taylor]: Taking taylor expansion of (sin x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [taylor]: Taking taylor expansion of (cos x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.395 * [taylor]: Taking taylor expansion of (tan x) in x 1.395 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.395 * [taylor]: Taking taylor expansion of (sin x) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of (cos x) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.408 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.409 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.409 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.409 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.409 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.409 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.410 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.410 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.417 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.418 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.418 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.418 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.418 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.418 * [taylor]: Taking taylor expansion of -1 in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.421 * [taylor]: Taking taylor expansion of -1 in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.422 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.422 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.422 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.422 * [taylor]: Taking taylor expansion of -1 in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.422 * [taylor]: Taking taylor expansion of -1 in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.430 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.430 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.430 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.430 * [taylor]: Taking taylor expansion of (tan x) in x 1.430 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.430 * [taylor]: Taking taylor expansion of (sin x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of (cos x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.431 * [taylor]: Taking taylor expansion of (tan x) in x 1.431 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.431 * [taylor]: Taking taylor expansion of (sin x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (cos x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.444 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 1.444 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.444 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.444 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.444 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.445 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.445 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.445 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.453 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 1.453 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.453 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.453 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.453 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.453 * [taylor]: Taking taylor expansion of -1 in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.453 * [taylor]: Taking taylor expansion of -1 in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.454 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.454 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.454 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.454 * [taylor]: Taking taylor expansion of -1 in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.454 * [taylor]: Taking taylor expansion of -1 in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.462 * * * [progress]: simplifying candidates 1.464 * [simplify]: Simplifying using # : (* (+ (log (tan x)) (log (tan x))) 3) (* (log (* (tan x) (tan x))) 3) (* (log (* (tan x) (tan x))) 3) (* (+ 1 1) 3) (* 1 3) (* 2 3) (* (+ 1 1) 3) (* 1 3) (* (* 2 1) 3) (pow (* (tan x) (tan x)) (* (cbrt 3) (cbrt 3))) (pow (* (tan x) (tan x)) (sqrt 3)) (pow (* (tan x) (tan x)) 1) (pow (tan x) 3) (pow (tan x) 3) (pow (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) 3) (pow (cbrt (* (tan x) (tan x))) 3) (pow (sqrt (* (tan x) (tan x))) 3) (pow (sqrt (* (tan x) (tan x))) 3) (pow 1 3) (pow (* (tan x) (tan x)) 3) (pow (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) 3) (pow (* (cbrt (tan x)) (cbrt (tan x))) 3) (pow (* (sqrt (tan x)) (sqrt (tan x))) 3) (pow (* (sqrt (tan x)) (sqrt (tan x))) 3) (pow (* 1 1) 3) (pow (* (tan x) (tan x)) 3) (pow (* (sqrt (tan x)) (sqrt (tan x))) 3) (pow (* (sqrt (tan x)) (sqrt (tan x))) 3) (pow (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) 3) (pow (cbrt (tan x)) 3) (pow (* (tan x) (sqrt (tan x))) 3) (pow (sqrt (tan x)) 3) (pow (* (tan x) 1) 3) (pow (tan x) 3) (pow (* (cbrt (tan x)) (cbrt (tan x))) 3) (pow (* (cbrt (tan x)) (tan x)) 3) (pow (sqrt (tan x)) 3) (pow (* (sqrt (tan x)) (tan x)) 3) (pow 1 3) (pow (* (tan x) (tan x)) 3) (pow (tan x) 3) (pow (tan x) 3) (* (* (tan x) (tan x)) (* (tan x) (tan x))) (log (pow (* (tan x) (tan x)) 3)) (exp (pow (* (tan x) (tan x)) 3)) (* (cbrt (pow (* (tan x) (tan x)) 3)) (cbrt (pow (* (tan x) (tan x)) 3))) (cbrt (pow (* (tan x) (tan x)) 3)) (* (* (pow (* (tan x) (tan x)) 3) (pow (* (tan x) (tan x)) 3)) (pow (* (tan x) (tan x)) 3)) (pow (tan x) 3) (pow (tan x) 3) (pow (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) 3) (pow (cbrt (* (tan x) (tan x))) 3) (pow (sqrt (* (tan x) (tan x))) 3) (pow (sqrt (* (tan x) (tan x))) 3) (pow 1 3) (pow (* (tan x) (tan x)) 3) (pow (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) 3) (pow (* (cbrt (tan x)) (cbrt (tan x))) 3) (pow (* (sqrt (tan x)) (sqrt (tan x))) 3) (pow (* (sqrt (tan x)) (sqrt (tan x))) 3) (pow (* 1 1) 3) (pow (* (tan x) (tan x)) 3) (pow (* (sqrt (tan x)) (sqrt (tan x))) 3) (pow (* (sqrt (tan x)) (sqrt (tan x))) 3) (pow (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) 3) (pow (cbrt (tan x)) 3) (pow (* (tan x) (sqrt (tan x))) 3) (pow (sqrt (tan x)) 3) (pow (* (tan x) 1) 3) (pow (tan x) 3) (pow (* (cbrt (tan x)) (cbrt (tan x))) 3) (pow (* (cbrt (tan x)) (tan x)) 3) (pow (sqrt (tan x)) 3) (pow (* (sqrt (tan x)) (tan x)) 3) (pow 1 3) (pow (* (tan x) (tan x)) 3) (pow (tan x) 3) (pow (tan x) 3) (pow (* (sin x) (sin x)) 3) (pow (* (cos x) (cos x)) 3) (pow (* (tan x) (sin x)) 3) (pow (cos x) 3) (pow (* (sin x) (tan x)) 3) (pow (cos x) 3) (* (* (tan x) (tan x)) (* (tan x) (tan x))) (sqrt (pow (* (tan x) (tan x)) 3)) (sqrt (pow (* (tan x) (tan x)) 3)) (pow (* (tan x) (tan x)) (/ 3 2)) (pow (* (tan x) (tan x)) (/ 3 2)) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ (* 2 (pow x 8)) (+ (pow x 6) (* 37/15 (pow x 10)))) (/ (pow (sin x) 6) (pow (cos x) 6)) (/ (pow (sin x) 6) (pow (cos x) 6)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) 1.469 * * [simplify]: iteration 0 : 305 enodes (cost 589 ) 1.476 * * [simplify]: iteration 1 : 1614 enodes (cost 489 ) 1.527 * * [simplify]: iteration 2 : 5001 enodes (cost 474 ) 1.530 * [simplify]: Simplified to: (* 6 (log (tan x))) (* 6 (log (tan x))) (* 6 (log (tan x))) 6 3 6 6 3 6 (pow (* (tan x) (tan x)) (* (cbrt 3) (cbrt 3))) (pow (* (tan x) (tan x)) (sqrt 3)) (* (tan x) (tan x)) (pow (tan x) 3) (pow (tan x) 3) (pow (tan x) 4) (* (tan x) (tan x)) (pow (fabs (tan x)) 3) (pow (fabs (tan x)) 3) 1 (pow (tan x) 6) (pow (tan x) 4) (* (tan x) (tan x)) (pow (tan x) 3) (pow (tan x) 3) 1 (pow (tan x) 6) (pow (tan x) 3) (pow (tan x) 3) (pow (tan x) 5) (tan x) (pow (pow (sqrt (tan x)) 3) 3) (pow (sqrt (tan x)) 3) (pow (tan x) 3) (pow (tan x) 3) (* (tan x) (tan x)) (pow (tan x) 4) (pow (sqrt (tan x)) 3) (pow (pow (sqrt (tan x)) 3) 3) 1 (pow (tan x) 6) (pow (tan x) 3) (pow (tan x) 3) (pow (tan x) 4) (* 6 (log (tan x))) (exp (pow (* (tan x) (tan x)) 3)) (pow (tan x) 4) (* (tan x) (tan x)) (pow (pow (* (tan x) (tan x)) 3) 3) (pow (tan x) 3) (pow (tan x) 3) (pow (tan x) 4) (* (tan x) (tan x)) (pow (fabs (tan x)) 3) (pow (fabs (tan x)) 3) 1 (pow (tan x) 6) (pow (tan x) 4) (* (tan x) (tan x)) (pow (tan x) 3) (pow (tan x) 3) 1 (pow (tan x) 6) (pow (tan x) 3) (pow (tan x) 3) (pow (tan x) 5) (tan x) (pow (pow (sqrt (tan x)) 3) 3) (pow (sqrt (tan x)) 3) (pow (tan x) 3) (pow (tan x) 3) (* (tan x) (tan x)) (pow (tan x) 4) (pow (sqrt (tan x)) 3) (pow (pow (sqrt (tan x)) 3) 3) 1 (pow (tan x) 6) (pow (tan x) 3) (pow (tan x) 3) (pow (sin x) 6) (pow (cos x) 6) (pow (* (sin x) (tan x)) 3) (pow (cos x) 3) (pow (* (sin x) (tan x)) 3) (pow (cos x) 3) (pow (tan x) 4) (fabs (pow (tan x) 3)) (fabs (pow (tan x) 3)) (pow (fabs (tan x)) 3) (pow (fabs (tan x)) 3) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (pow (cbrt (tan x)) 4) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (cbrt (* (tan x) (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (pow (cbrt (tan x)) 5) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (pow (cbrt (tan x)) 4) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (cbrt (* (tan x) (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (pow (cbrt (tan x)) 5) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (pow (cbrt (tan x)) 4) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (cbrt (* (tan x) (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (pow (cbrt (tan x)) 5) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (+ (* 2 (pow x 8)) (+ (pow x 6) (* 37/15 (pow x 10)))) (/ (pow (sin x) 6) (pow (cos x) 6)) (/ (pow (sin x) 6) (pow (cos x) 6)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) 1.531 * * * [progress]: adding candidates to table 1.806 * * [progress]: iteration 4 / 4 1.806 * * * [progress]: picking best candidate 1.824 * * * * [pick]: Picked # 1.825 * * * [progress]: localizing error 1.837 * * * [progress]: generating rewritten candidates 1.837 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.862 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 1.868 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 1.873 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.901 * * * [progress]: generating series expansions 1.901 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.902 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 1.902 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 1.902 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.902 * [taylor]: Taking taylor expansion of 1.0 in x 1.902 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.902 * [taylor]: Taking taylor expansion of (tan x) in x 1.902 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.902 * [taylor]: Taking taylor expansion of (sin x) in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of (cos x) in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.903 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.903 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.903 * [taylor]: Taking taylor expansion of (tan x) in x 1.903 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.903 * [taylor]: Taking taylor expansion of (sin x) in x 1.903 * [taylor]: Taking taylor expansion of x in x 1.903 * [taylor]: Taking taylor expansion of (cos x) in x 1.903 * [taylor]: Taking taylor expansion of x in x 1.904 * [taylor]: Taking taylor expansion of 1.0 in x 1.905 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 1.905 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 1.905 * [taylor]: Taking taylor expansion of 1.0 in x 1.905 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.905 * [taylor]: Taking taylor expansion of (tan x) in x 1.905 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.905 * [taylor]: Taking taylor expansion of (sin x) in x 1.905 * [taylor]: Taking taylor expansion of x in x 1.905 * [taylor]: Taking taylor expansion of (cos x) in x 1.905 * [taylor]: Taking taylor expansion of x in x 1.906 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 1.906 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.906 * [taylor]: Taking taylor expansion of (tan x) in x 1.906 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.906 * [taylor]: Taking taylor expansion of (sin x) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [taylor]: Taking taylor expansion of (cos x) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.907 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 1.928 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.928 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.928 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.928 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.928 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.929 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.929 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.929 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.929 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.929 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.929 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of 1.0 in x 1.931 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 1.931 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 1.931 * [taylor]: Taking taylor expansion of 1.0 in x 1.931 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.931 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.931 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.931 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 1.932 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 1.932 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 1.932 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 1.932 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.933 * [taylor]: Taking taylor expansion of 1.0 in x 1.965 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 1.966 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.966 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.966 * [taylor]: Taking taylor expansion of 1.0 in x 1.966 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.966 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.966 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.966 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.966 * [taylor]: Taking taylor expansion of -1 in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.966 * [taylor]: Taking taylor expansion of -1 in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.967 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.967 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.967 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.967 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.967 * [taylor]: Taking taylor expansion of -1 in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.967 * [taylor]: Taking taylor expansion of -1 in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.968 * [taylor]: Taking taylor expansion of 1.0 in x 1.969 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 1.969 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 1.969 * [taylor]: Taking taylor expansion of 1.0 in x 1.969 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.969 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.969 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.969 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.969 * [taylor]: Taking taylor expansion of -1 in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.969 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.969 * [taylor]: Taking taylor expansion of -1 in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 1.970 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 1.970 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 1.970 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 1.970 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.970 * [taylor]: Taking taylor expansion of -1 in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.970 * [taylor]: Taking taylor expansion of -1 in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.971 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 1.998 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 1.998 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.999 * [taylor]: Taking taylor expansion of (tan x) in x 1.999 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.999 * [taylor]: Taking taylor expansion of (sin x) in x 1.999 * [taylor]: Taking taylor expansion of x in x 1.999 * [taylor]: Taking taylor expansion of (cos x) in x 1.999 * [taylor]: Taking taylor expansion of x in x 1.999 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 1.999 * [taylor]: Taking taylor expansion of (tan x) in x 1.999 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 1.999 * [taylor]: Taking taylor expansion of (sin x) in x 1.999 * [taylor]: Taking taylor expansion of x in x 2.000 * [taylor]: Taking taylor expansion of (cos x) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.013 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 2.013 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.013 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.013 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.013 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.014 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.014 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.014 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.014 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.014 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.021 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 2.021 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.021 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.021 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.021 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.022 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.022 * [taylor]: Taking taylor expansion of -1 in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.022 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.022 * [taylor]: Taking taylor expansion of -1 in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.022 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.022 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.022 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.022 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.022 * [taylor]: Taking taylor expansion of -1 in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.023 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.023 * [taylor]: Taking taylor expansion of -1 in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.030 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 2.030 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0 2.030 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.030 * [taylor]: Taking taylor expansion of (tan x) in x 2.030 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.030 * [taylor]: Taking taylor expansion of (sin x) in x 2.030 * [taylor]: Taking taylor expansion of x in x 2.030 * [taylor]: Taking taylor expansion of (cos x) in x 2.030 * [taylor]: Taking taylor expansion of x in x 2.031 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.031 * [taylor]: Taking taylor expansion of (tan x) in x 2.031 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.031 * [taylor]: Taking taylor expansion of (sin x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.031 * [taylor]: Taking taylor expansion of (cos x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.049 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0 2.049 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.049 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.049 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.049 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.050 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.050 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.050 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.058 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0 2.058 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.058 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.058 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.058 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.058 * [taylor]: Taking taylor expansion of -1 in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.059 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.059 * [taylor]: Taking taylor expansion of -1 in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.059 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.059 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.059 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.059 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.059 * [taylor]: Taking taylor expansion of -1 in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.059 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.060 * [taylor]: Taking taylor expansion of -1 in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.067 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.067 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 2.067 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 2.067 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 2.067 * [taylor]: Taking taylor expansion of 1.0 in x 2.067 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.067 * [taylor]: Taking taylor expansion of (tan x) in x 2.067 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.067 * [taylor]: Taking taylor expansion of (sin x) in x 2.067 * [taylor]: Taking taylor expansion of x in x 2.067 * [taylor]: Taking taylor expansion of (cos x) in x 2.067 * [taylor]: Taking taylor expansion of x in x 2.068 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 2.068 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.068 * [taylor]: Taking taylor expansion of (tan x) in x 2.068 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.068 * [taylor]: Taking taylor expansion of (sin x) in x 2.068 * [taylor]: Taking taylor expansion of x in x 2.068 * [taylor]: Taking taylor expansion of (cos x) in x 2.068 * [taylor]: Taking taylor expansion of x in x 2.069 * [taylor]: Taking taylor expansion of 1.0 in x 2.070 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x 2.070 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x 2.070 * [taylor]: Taking taylor expansion of 1.0 in x 2.070 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.070 * [taylor]: Taking taylor expansion of (tan x) in x 2.070 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.070 * [taylor]: Taking taylor expansion of (sin x) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [taylor]: Taking taylor expansion of (cos x) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.071 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x 2.071 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x 2.071 * [taylor]: Taking taylor expansion of (tan x) in x 2.071 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 2.071 * [taylor]: Taking taylor expansion of (sin x) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.071 * [taylor]: Taking taylor expansion of (cos x) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.071 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 2.093 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 2.093 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.093 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.093 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.093 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.094 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 2.094 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.094 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.094 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.094 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.094 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.095 * [taylor]: Taking taylor expansion of 1.0 in x 2.096 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x 2.096 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x 2.096 * [taylor]: Taking taylor expansion of 1.0 in x 2.096 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.096 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.096 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.096 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x 2.097 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x 2.097 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 2.097 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 2.097 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of 1.0 in x 2.129 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 2.130 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 2.130 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 2.130 * [taylor]: Taking taylor expansion of 1.0 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 2.131 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 2.131 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.131 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.131 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.131 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.131 * [taylor]: Taking taylor expansion of -1 in x 2.131 * [taylor]: Taking taylor expansion of x in x 2.132 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.132 * [taylor]: Taking taylor expansion of -1 in x 2.132 * [taylor]: Taking taylor expansion of x in x 2.132 * [taylor]: Taking taylor expansion of 1.0 in x 2.133 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x 2.133 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x 2.133 * [taylor]: Taking taylor expansion of 1.0 in x 2.133 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.133 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.133 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.133 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.133 * [taylor]: Taking taylor expansion of -1 in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.134 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.134 * [taylor]: Taking taylor expansion of -1 in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x 2.134 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x 2.134 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 2.134 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 2.134 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.134 * [taylor]: Taking taylor expansion of -1 in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.135 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.135 * [taylor]: Taking taylor expansion of -1 in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.135 * [taylor]: Taking taylor expansion of 1.0 in x 2.162 * * * [progress]: simplifying candidates 2.166 * [simplify]: Simplifying using # : (log (* (cbrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))))) (log (cbrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (sqrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (sqrt (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log 1) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (log (exp (/ 1.0 (+ 1.0 (* (tan x) (tan x)))))) (log (exp (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (log (exp (* (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)))))))) (log (exp (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (* (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)))))))) (log (exp (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1))) (log (exp (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1))) (log (exp (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1))) (log (exp (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1))) (log (exp (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1))) (log (exp (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1))) (log (exp (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ 1 1))) (log (exp (/ 1 1))) (log (exp (/ 1 1))) (log (exp (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (+ (sqrt 1.0) (tan x)) 1))) (log (exp (/ (+ (sqrt 1.0) (tan x)) 1))) (log (exp (/ (+ (sqrt 1.0) (tan x)) 1))) (log (exp (/ (+ (sqrt 1.0) (sqrt (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (* (tan x) (tan x)))) 1))) (log (exp (/ (+ (sqrt 1.0) (sqrt (* (tan x) (tan x)))) 1))) (log (exp (/ (+ (sqrt 1.0) (sqrt (* (tan x) (tan x)))) 1))) (log (exp (/ (+ (sqrt 1.0) (* (sqrt (tan x)) (sqrt (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))))) (log (exp (/ (+ (sqrt 1.0) (* (sqrt (tan x)) (sqrt (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))))) (log (exp (/ (+ (sqrt 1.0) (* (sqrt (tan x)) (sqrt (tan x)))) 1))) (log (exp (/ (+ (sqrt 1.0) (* (sqrt (tan x)) (sqrt (tan x)))) 1))) (log (exp (/ (+ (sqrt 1.0) (* (sqrt (tan x)) (sqrt (tan x)))) 1))) (log (exp (/ (+ (sqrt 1.0) (* 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x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (sqrt (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (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))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (/ (* 1.0 1.0) 1) (/ (pow (tan x) 4) 1))) (* (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (+ 1.0 (* (tan x) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (- (+ (* 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) (+ (* 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)) 2.214 * * * [progress]: adding candidates to table 2.565 * [progress]: [Phase 3 of 3] Extracting. 2.566 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.569 * * * [regime-changes]: Trying 3 branch expressions: ((tan x) (* (tan x) (tan x)) x) 2.569 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # #) 2.609 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # # # # # #) 2.644 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 2.678 * * * [regime]: Found split indices: #