8.268 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.122 * * * [progress]: [2/2] Setting up program. 0.125 * [progress]: [Phase 2 of 3] Improving. 0.126 * [simplify]: Simplifying using # : (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)) 0.126 * [simplify]: Sending expressions to egg_math: (* (/ (sin h0) (sqrt (+ (pow (sin h1) h2) (pow (sin h0) h2)))) (sin h3)) 0.128 * * [simplify]: iteration 0 : 23 enodes (cost 10 ) 0.129 * * [simplify]: iteration 1 : 35 enodes (cost 10 ) 0.131 * * [simplify]: iteration 2 : 63 enodes (cost 10 ) 0.133 * * [simplify]: iteration 3 : 137 enodes (cost 10 ) 0.136 * * [simplify]: iteration 4 : 417 enodes (cost 10 ) 0.144 * * [simplify]: iteration 5 : 1798 enodes (cost 10 ) 0.177 * * [simplify]: iteration 6 : 5002 enodes (cost 10 ) 0.178 * [simplify]: Simplified to: (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)) 0.179 * * [progress]: iteration 1 / 4 0.179 * * * [progress]: picking best candidate 0.182 * * * * [pick]: Picked # 0.182 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.199 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.231 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 0.235 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 0.239 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.276 * * * [progress]: generating series expansions 0.277 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.277 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in (kx ky) around 0 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 0.277 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 0.277 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 0.277 * [taylor]: Taking taylor expansion of (sin kx) in ky 0.277 * [taylor]: Taking taylor expansion of kx in ky 0.277 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 0.277 * [taylor]: Taking taylor expansion of (sin ky) in ky 0.277 * [taylor]: Taking taylor expansion of ky in ky 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 0.283 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 0.283 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 0.283 * [taylor]: Taking taylor expansion of (sin kx) in kx 0.283 * [taylor]: Taking taylor expansion of kx in kx 0.284 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 0.284 * [taylor]: Taking taylor expansion of (sin ky) in kx 0.284 * [taylor]: Taking taylor expansion of ky in kx 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 0.286 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 0.286 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 0.286 * [taylor]: Taking taylor expansion of (sin kx) in kx 0.286 * [taylor]: Taking taylor expansion of kx in kx 0.287 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 0.287 * [taylor]: Taking taylor expansion of (sin ky) in kx 0.287 * [taylor]: Taking taylor expansion of ky in kx 0.289 * [taylor]: Taking taylor expansion of (sin ky) in ky 0.289 * [taylor]: Taking taylor expansion of ky in ky 0.289 * [taylor]: Taking taylor expansion of 0 in ky 0.293 * [taylor]: Taking taylor expansion of (/ 1/2 (sin ky)) in ky 0.293 * [taylor]: Taking taylor expansion of 1/2 in ky 0.293 * [taylor]: Taking taylor expansion of (sin ky) in ky 0.293 * [taylor]: Taking taylor expansion of ky in ky 0.299 * [taylor]: Taking taylor expansion of 0 in ky 0.302 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in (kx ky) around 0 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 0.302 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 0.302 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 0.302 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 0.302 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 0.302 * [taylor]: Taking taylor expansion of kx in ky 0.302 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 0.302 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 0.302 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 0.302 * [taylor]: Taking taylor expansion of ky in ky 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 0.305 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 0.305 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 0.305 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 0.305 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 0.305 * [taylor]: Taking taylor expansion of kx in kx 0.306 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 0.306 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 0.306 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 0.306 * [taylor]: Taking taylor expansion of ky in kx 0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 0.308 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 0.308 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 0.308 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 0.309 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 0.309 * [taylor]: Taking taylor expansion of kx in kx 0.309 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 0.309 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 0.309 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 0.309 * [taylor]: Taking taylor expansion of ky in kx 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 0.312 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 0.312 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 0.312 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 0.312 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 0.312 * [taylor]: Taking taylor expansion of kx in ky 0.312 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 0.312 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 0.312 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 0.312 * [taylor]: Taking taylor expansion of ky in ky 0.315 * [taylor]: Taking taylor expansion of 0 in ky 0.318 * [taylor]: Taking taylor expansion of 0 in ky 0.326 * [taylor]: Taking taylor expansion of 0 in ky 0.327 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in (kx ky) around 0 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 0.327 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 0.327 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 0.327 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 0.327 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 0.327 * [taylor]: Taking taylor expansion of -1 in ky 0.327 * [taylor]: Taking taylor expansion of kx in ky 0.327 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 0.327 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 0.327 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 0.327 * [taylor]: Taking taylor expansion of -1 in ky 0.327 * [taylor]: Taking taylor expansion of ky in ky 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 0.330 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 0.330 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 0.330 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 0.330 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 0.330 * [taylor]: Taking taylor expansion of -1 in kx 0.330 * [taylor]: Taking taylor expansion of kx in kx 0.330 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 0.330 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 0.330 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 0.330 * [taylor]: Taking taylor expansion of -1 in kx 0.330 * [taylor]: Taking taylor expansion of ky in kx 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 0.333 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 0.333 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 0.333 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 0.333 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 0.333 * [taylor]: Taking taylor expansion of -1 in kx 0.333 * [taylor]: Taking taylor expansion of kx in kx 0.334 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 0.334 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 0.334 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 0.334 * [taylor]: Taking taylor expansion of -1 in kx 0.334 * [taylor]: Taking taylor expansion of ky in kx 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 0.336 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 0.336 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 0.336 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 0.337 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 0.337 * [taylor]: Taking taylor expansion of -1 in ky 0.337 * [taylor]: Taking taylor expansion of kx in ky 0.337 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 0.337 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 0.337 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 0.337 * [taylor]: Taking taylor expansion of -1 in ky 0.337 * [taylor]: Taking taylor expansion of ky in ky 0.340 * [taylor]: Taking taylor expansion of 0 in ky 0.343 * [taylor]: Taking taylor expansion of 0 in ky 0.351 * [taylor]: Taking taylor expansion of 0 in ky 0.351 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 0.351 * [approximate]: Taking taylor expansion of (pow (sin ky) 2.0) in (ky) around 0 0.352 * [taylor]: Taking taylor expansion of (pow (sin ky) 2.0) in ky 0.352 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin ky)))) in ky 0.352 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin ky))) in ky 0.352 * [taylor]: Taking taylor expansion of 2.0 in ky 0.352 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky 0.352 * [taylor]: Taking taylor expansion of (sin ky) in ky 0.352 * [taylor]: Taking taylor expansion of ky in ky 0.353 * [taylor]: Taking taylor expansion of (pow (sin ky) 2.0) in ky 0.353 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin ky)))) in ky 0.353 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin ky))) in ky 0.353 * [taylor]: Taking taylor expansion of 2.0 in ky 0.353 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky 0.353 * [taylor]: Taking taylor expansion of (sin ky) in ky 0.353 * [taylor]: Taking taylor expansion of ky in ky 0.390 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2.0) in (ky) around 0 0.390 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2.0) in ky 0.390 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 ky))))) in ky 0.390 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 ky)))) in ky 0.390 * [taylor]: Taking taylor expansion of 2.0 in ky 0.390 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky 0.390 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 0.390 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 0.390 * [taylor]: Taking taylor expansion of ky in ky 0.390 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2.0) in ky 0.390 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 ky))))) in ky 0.390 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 ky)))) in ky 0.390 * [taylor]: Taking taylor expansion of 2.0 in ky 0.390 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky 0.390 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 0.390 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 0.390 * [taylor]: Taking taylor expansion of ky in ky 0.423 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2.0) in (ky) around 0 0.423 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2.0) in ky 0.423 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 ky))))) in ky 0.423 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 ky)))) in ky 0.423 * [taylor]: Taking taylor expansion of 2.0 in ky 0.423 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky 0.423 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 0.423 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 0.423 * [taylor]: Taking taylor expansion of -1 in ky 0.423 * [taylor]: Taking taylor expansion of ky in ky 0.424 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2.0) in ky 0.424 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 ky))))) in ky 0.424 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 ky)))) in ky 0.424 * [taylor]: Taking taylor expansion of 2.0 in ky 0.424 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky 0.424 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 0.424 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 0.424 * [taylor]: Taking taylor expansion of -1 in ky 0.424 * [taylor]: Taking taylor expansion of ky in ky 0.456 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 0.456 * [approximate]: Taking taylor expansion of (pow (sin kx) 2.0) in (kx) around 0 0.456 * [taylor]: Taking taylor expansion of (pow (sin kx) 2.0) in kx 0.456 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin kx)))) in kx 0.456 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin kx))) in kx 0.456 * [taylor]: Taking taylor expansion of 2.0 in kx 0.456 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 0.456 * [taylor]: Taking taylor expansion of (sin kx) in kx 0.456 * [taylor]: Taking taylor expansion of kx in kx 0.457 * [taylor]: Taking taylor expansion of (pow (sin kx) 2.0) in kx 0.457 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin kx)))) in kx 0.457 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin kx))) in kx 0.457 * [taylor]: Taking taylor expansion of 2.0 in kx 0.457 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 0.457 * [taylor]: Taking taylor expansion of (sin kx) in kx 0.457 * [taylor]: Taking taylor expansion of kx in kx 0.493 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2.0) in (kx) around 0 0.493 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2.0) in kx 0.493 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 kx))))) in kx 0.493 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 kx)))) in kx 0.493 * [taylor]: Taking taylor expansion of 2.0 in kx 0.493 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 0.494 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 0.494 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 0.494 * [taylor]: Taking taylor expansion of kx in kx 0.494 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2.0) in kx 0.494 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 kx))))) in kx 0.494 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 kx)))) in kx 0.494 * [taylor]: Taking taylor expansion of 2.0 in kx 0.494 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 0.494 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 0.494 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 0.494 * [taylor]: Taking taylor expansion of kx in kx 0.527 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2.0) in (kx) around 0 0.527 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2.0) in kx 0.527 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 kx))))) in kx 0.527 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 kx)))) in kx 0.527 * [taylor]: Taking taylor expansion of 2.0 in kx 0.527 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 0.527 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 0.527 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 0.527 * [taylor]: Taking taylor expansion of -1 in kx 0.527 * [taylor]: Taking taylor expansion of kx in kx 0.527 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2.0) in kx 0.527 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 kx))))) in kx 0.527 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 kx)))) in kx 0.527 * [taylor]: Taking taylor expansion of 2.0 in kx 0.528 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 0.528 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 0.528 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 0.528 * [taylor]: Taking taylor expansion of -1 in kx 0.528 * [taylor]: Taking taylor expansion of kx in kx 0.565 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.565 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in (ky kx) around 0 0.565 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in kx 0.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in kx 0.565 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 0.566 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 0.566 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 0.566 * [taylor]: Taking taylor expansion of (sin kx) in kx 0.566 * [taylor]: Taking taylor expansion of kx in kx 0.566 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 0.566 * [taylor]: Taking taylor expansion of (sin ky) in kx 0.566 * [taylor]: Taking taylor expansion of ky in kx 0.568 * [taylor]: Taking taylor expansion of (sin ky) in kx 0.568 * [taylor]: Taking taylor expansion of ky in kx 0.569 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in ky 0.569 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in ky 0.569 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 0.569 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 0.569 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 0.569 * [taylor]: Taking taylor expansion of (sin kx) in ky 0.569 * [taylor]: Taking taylor expansion of kx in ky 0.569 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 0.569 * [taylor]: Taking taylor expansion of (sin ky) in ky 0.569 * [taylor]: Taking taylor expansion of ky in ky 0.571 * [taylor]: Taking taylor expansion of (sin ky) in ky 0.571 * [taylor]: Taking taylor expansion of ky in ky 0.571 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in ky 0.571 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in ky 0.572 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 0.572 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 0.572 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 0.572 * [taylor]: Taking taylor expansion of (sin kx) in ky 0.572 * [taylor]: Taking taylor expansion of kx in ky 0.572 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 0.572 * [taylor]: Taking taylor expansion of (sin ky) in ky 0.572 * [taylor]: Taking taylor expansion of ky in ky 0.574 * [taylor]: Taking taylor expansion of (sin ky) in ky 0.574 * [taylor]: Taking taylor expansion of ky in ky 0.575 * [taylor]: Taking taylor expansion of 0 in kx 0.575 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx 0.575 * [taylor]: Taking taylor expansion of (sin kx) in kx 0.575 * [taylor]: Taking taylor expansion of kx in kx 0.581 * [taylor]: Taking taylor expansion of 0 in kx 0.589 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx 0.589 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx 0.589 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx 0.589 * [taylor]: Taking taylor expansion of 1/6 in kx 0.589 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx 0.589 * [taylor]: Taking taylor expansion of (sin kx) in kx 0.589 * [taylor]: Taking taylor expansion of kx in kx 0.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx 0.590 * [taylor]: Taking taylor expansion of 1/2 in kx 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx 0.590 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx 0.590 * [taylor]: Taking taylor expansion of (sin kx) in kx 0.590 * [taylor]: Taking taylor expansion of kx in kx 0.610 * [taylor]: Taking taylor expansion of 0 in kx 0.611 * [approximate]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in (ky kx) around 0 0.611 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx 0.611 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 0.611 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 0.611 * [taylor]: Taking taylor expansion of ky in kx 0.611 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 0.611 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 0.611 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 0.611 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 0.611 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 0.611 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 0.611 * [taylor]: Taking taylor expansion of kx in kx 0.611 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 0.611 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 0.611 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 0.611 * [taylor]: Taking taylor expansion of ky in kx 0.615 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky 0.615 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 0.615 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 0.615 * [taylor]: Taking taylor expansion of ky in ky 0.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 0.615 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 0.615 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 0.615 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 0.615 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 0.615 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 0.615 * [taylor]: Taking taylor expansion of kx in ky 0.615 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 0.615 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 0.615 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 0.615 * [taylor]: Taking taylor expansion of ky in ky 0.619 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky 0.619 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 0.619 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 0.619 * [taylor]: Taking taylor expansion of ky in ky 0.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 0.619 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 0.619 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 0.619 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 0.619 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 0.619 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 0.619 * [taylor]: Taking taylor expansion of kx in ky 0.620 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 0.620 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 0.620 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 0.620 * [taylor]: Taking taylor expansion of ky in ky 0.623 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx 0.623 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 0.623 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 0.623 * [taylor]: Taking taylor expansion of ky in kx 0.623 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 0.623 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 0.623 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 0.623 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 0.624 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 0.624 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 0.624 * [taylor]: Taking taylor expansion of kx in kx 0.624 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 0.624 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 0.624 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 0.624 * [taylor]: Taking taylor expansion of ky in kx 0.628 * [taylor]: Taking taylor expansion of 0 in kx 0.635 * [taylor]: Taking taylor expansion of 0 in kx 0.647 * [taylor]: Taking taylor expansion of 0 in kx 0.648 * [approximate]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in (ky kx) around 0 0.648 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx 0.648 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 0.648 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 0.648 * [taylor]: Taking taylor expansion of -1 in kx 0.648 * [taylor]: Taking taylor expansion of ky in kx 0.648 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 0.648 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 0.648 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 0.648 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 0.648 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 0.648 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 0.648 * [taylor]: Taking taylor expansion of -1 in kx 0.648 * [taylor]: Taking taylor expansion of kx in kx 0.649 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 0.649 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 0.649 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 0.649 * [taylor]: Taking taylor expansion of -1 in kx 0.649 * [taylor]: Taking taylor expansion of ky in kx 0.658 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky 0.658 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 0.658 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 0.658 * [taylor]: Taking taylor expansion of -1 in ky 0.658 * [taylor]: Taking taylor expansion of ky in ky 0.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 0.658 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 0.658 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 0.658 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 0.658 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 0.658 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 0.658 * [taylor]: Taking taylor expansion of -1 in ky 0.658 * [taylor]: Taking taylor expansion of kx in ky 0.659 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 0.659 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 0.659 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 0.659 * [taylor]: Taking taylor expansion of -1 in ky 0.659 * [taylor]: Taking taylor expansion of ky in ky 0.662 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky 0.662 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 0.662 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 0.662 * [taylor]: Taking taylor expansion of -1 in ky 0.662 * [taylor]: Taking taylor expansion of ky in ky 0.663 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 0.663 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 0.663 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 0.663 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 0.663 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 0.663 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 0.663 * [taylor]: Taking taylor expansion of -1 in ky 0.663 * [taylor]: Taking taylor expansion of kx in ky 0.663 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 0.663 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 0.663 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 0.663 * [taylor]: Taking taylor expansion of -1 in ky 0.663 * [taylor]: Taking taylor expansion of ky in ky 0.667 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx 0.667 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 0.667 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 0.667 * [taylor]: Taking taylor expansion of -1 in kx 0.667 * [taylor]: Taking taylor expansion of ky in kx 0.667 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 0.667 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 0.667 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 0.667 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 0.667 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 0.667 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 0.667 * [taylor]: Taking taylor expansion of -1 in kx 0.667 * [taylor]: Taking taylor expansion of kx in kx 0.667 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 0.667 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 0.667 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 0.667 * [taylor]: Taking taylor expansion of -1 in kx 0.668 * [taylor]: Taking taylor expansion of ky in kx 0.672 * [taylor]: Taking taylor expansion of 0 in kx 0.678 * [taylor]: Taking taylor expansion of 0 in kx 0.690 * [taylor]: Taking taylor expansion of 0 in kx 0.691 * * * [progress]: simplifying candidates 0.693 * [simplify]: Simplifying using # : (log (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (exp (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt 1) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (pow 1 2.0)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt 1) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (+ (pow (pow (sin kx) 2.0) 3) (pow (pow (sin ky) 2.0) 3))) (sqrt (+ (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (- (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (- (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)))) (sqrt (- (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (/ 1 2) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (log (sin ky)) 2.0) (* (log (sin ky)) 2.0) (* 1 2.0) (pow (sin ky) (* (cbrt 2.0) (cbrt 2.0))) (pow (sin ky) (sqrt 2.0)) (pow (sin ky) 1) (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0) (pow (sqrt (sin ky)) 2.0) (pow (sqrt (sin ky)) 2.0) (pow 1 2.0) (pow (sin ky) 2.0) (log (pow (sin ky) 2.0)) (exp (pow (sin ky) 2.0)) (* (cbrt (pow (sin ky) 2.0)) (cbrt (pow (sin ky) 2.0))) (cbrt (pow (sin ky) 2.0)) (* (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (pow (sin ky) 2.0)) (sqrt (pow (sin ky) 2.0)) (sqrt (pow (sin ky) 2.0)) (pow (sin ky) (/ 2.0 2)) (pow (sin ky) (/ 2.0 2)) (* (log (sin kx)) 2.0) (* (log (sin kx)) 2.0) (* 1 2.0) (pow (sin kx) (* (cbrt 2.0) (cbrt 2.0))) (pow (sin kx) (sqrt 2.0)) (pow (sin kx) 1) (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0) (pow (sqrt (sin kx)) 2.0) (pow (sqrt (sin kx)) 2.0) (pow 1 2.0) (pow (sin kx) 2.0) (log (pow (sin kx) 2.0)) (exp (pow (sin kx) 2.0)) (* (cbrt (pow (sin kx) 2.0)) (cbrt (pow (sin kx) 2.0))) (cbrt (pow (sin kx) 2.0)) (* (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (pow (sin kx) 2.0)) (sqrt (pow (sin kx) 2.0)) (sqrt (pow (sin kx) 2.0)) (pow (sin kx) (/ 2.0 2)) (pow (sin kx) (/ 2.0 2)) (- (log (sin ky)) (log (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (log (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (exp (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (* (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (* (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (- (sin ky)) (- (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (cbrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (cbrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt 1)) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (pow 1 2.0))) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt 1)) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (sin ky)) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sqrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sqrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt 1)) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (sin ky)) (sqrt (pow 1 2.0))) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (sin ky)) (sqrt 1)) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) 1) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sin ky) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ 1 (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sin ky) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ 1 (sqrt 1)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (sqrt (pow 1 2.0))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (sqrt 1)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ 1 1) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin ky)) (/ (sin ky) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sin ky) (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt 1)) (/ (sin ky) (sqrt (pow 1 2.0))) (/ (sin ky) (sqrt 1)) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) 1) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (sin ky))) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (sin ky))) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin ky)) (/ (sin ky) (sqrt (+ (pow (pow (sin kx) 2.0) 3) (pow (pow (sin ky) 2.0) 3)))) (/ (sin ky) (sqrt (- (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0))))) (- (+ ky (* 1/12 (* (pow kx 2) ky))) (* 1/6 (pow ky 3))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (- (+ (* 0.04444444444444444 (pow ky 6)) (pow ky 2)) (* 0.3333333333333333 (pow ky 4))) (pow (sin ky) 2.0) (pow (sin ky) 2.0) (- (+ (pow kx 2) (* 0.04444444444444444 (pow kx 6))) (* 0.3333333333333333 (pow kx 4))) (pow (sin kx) 2.0) (pow (sin kx) 2.0) (* 1/6 (* kx ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) 0.693 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (exp (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (* (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (* (* (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (sqrt (* (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (sqrt (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (sqrt 1) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (sqrt (pow 1 h1)) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (sqrt 1) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (sqrt (+ (pow (pow (sin h0) h1) 3) (pow (pow (sin h2) h1) 3))) (sqrt (+ (* (pow (sin h0) h1) (pow (sin h0) h1)) (- (* (pow (sin h2) h1) (pow (sin h2) h1)) (* (pow (sin h0) h1) (pow (sin h2) h1))))) (sqrt (- (* (pow (sin h0) h1) (pow (sin h0) h1)) (* (pow (sin h2) h1) (pow (sin h2) h1)))) (sqrt (- (pow (sin h0) h1) (pow (sin h2) h1))) (/ 1 2) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (* (log (sin h2)) h1) (* (log (sin h2)) h1) (* 1 h1) (pow (sin h2) (* (cbrt h1) (cbrt h1))) (pow (sin h2) (sqrt h1)) (pow (sin h2) 1) (pow (* (cbrt (sin h2)) (cbrt (sin h2))) h1) (pow (cbrt (sin h2)) h1) (pow (sqrt (sin h2)) h1) (pow (sqrt (sin h2)) h1) (pow 1 h1) (pow (sin h2) h1) (log (pow (sin h2) h1)) (exp (pow (sin h2) h1)) (* (cbrt (pow (sin h2) h1)) (cbrt (pow (sin h2) h1))) (cbrt (pow (sin h2) h1)) (* (* (pow (sin h2) h1) (pow (sin h2) h1)) (pow (sin h2) h1)) (sqrt (pow (sin h2) h1)) (sqrt (pow (sin h2) h1)) (pow (sin h2) (/ h1 2)) (pow (sin h2) (/ h1 2)) (* (log (sin h0)) h1) (* (log (sin h0)) h1) (* 1 h1) (pow (sin h0) (* (cbrt h1) (cbrt h1))) (pow (sin h0) (sqrt h1)) (pow (sin h0) 1) (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1) (pow (sqrt (sin h0)) h1) (pow (sqrt (sin h0)) h1) (pow 1 h1) (pow (sin h0) h1) (log (pow (sin h0) h1)) (exp (pow (sin h0) h1)) (* (cbrt (pow (sin h0) h1)) (cbrt (pow (sin h0) h1))) (cbrt (pow (sin h0) h1)) (* (* (pow (sin h0) h1) (pow (sin h0) h1)) (pow (sin h0) h1)) (sqrt (pow (sin h0) h1)) (sqrt (pow (sin h0) h1)) (pow (sin h0) (/ h1 2)) (pow (sin h0) (/ h1 2)) (- (log (sin h2)) (log (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (log (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (exp (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (* (* (sin h2) (sin h2)) (sin h2)) (* (* (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (* (cbrt (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (cbrt (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))))) (cbrt (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (* (* (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (sqrt (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (sqrt (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (- (sin h2)) (- (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ (* (cbrt (sin h2)) (cbrt (sin h2))) (* (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))))) (/ (cbrt (sin h2)) (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (* (cbrt (sin h2)) (cbrt (sin h2))) (sqrt (* (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))))) (/ (cbrt (sin h2)) (sqrt (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (* (cbrt (sin h2)) (cbrt (sin h2))) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (cbrt (sin h2)) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (* (cbrt (sin h2)) (cbrt (sin h2))) (sqrt 1)) (/ (cbrt (sin h2)) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ (* (cbrt (sin h2)) (cbrt (sin h2))) (sqrt (pow 1 h1))) (/ (cbrt (sin h2)) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ (* (cbrt (sin h2)) (cbrt (sin h2))) (sqrt 1)) (/ (cbrt (sin h2)) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ (* (cbrt (sin h2)) (cbrt (sin h2))) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (cbrt (sin h2)) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (* (cbrt (sin h2)) (cbrt (sin h2))) 1) (/ (cbrt (sin h2)) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ (sqrt (sin h2)) (* (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))))) (/ (sqrt (sin h2)) (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (sqrt (sin h2)) (sqrt (* (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))))) (/ (sqrt (sin h2)) (sqrt (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (sqrt (sin h2)) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (sqrt (sin h2)) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (sqrt (sin h2)) (sqrt 1)) (/ (sqrt (sin h2)) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ (sqrt (sin h2)) (sqrt (pow 1 h1))) (/ (sqrt (sin h2)) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ (sqrt (sin h2)) (sqrt 1)) (/ (sqrt (sin h2)) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ (sqrt (sin h2)) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (sqrt (sin h2)) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (sqrt (sin h2)) 1) (/ (sqrt (sin h2)) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ 1 (* (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))))) (/ (sin h2) (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ 1 (sqrt (* (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))))) (/ (sin h2) (sqrt (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ 1 (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (sin h2) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ 1 (sqrt 1)) (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ 1 (sqrt (pow 1 h1))) (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ 1 (sqrt 1)) (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ 1 (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (sin h2) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ 1 1) (/ (sin h2) (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ 1 (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (/ (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (sin h2)) (/ (sin h2) (* (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))) (cbrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))))) (/ (sin h2) (sqrt (* (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (cbrt (+ (pow (sin h0) h1) (pow (sin h2) h1)))))) (/ (sin h2) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (sin h2) (sqrt 1)) (/ (sin h2) (sqrt (pow 1 h1))) (/ (sin h2) (sqrt 1)) (/ (sin h2) (sqrt (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))))) (/ (sin h2) 1) (/ (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (cbrt (sin h2))) (/ (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (sqrt (sin h2))) (/ (sqrt (+ (pow (sin h0) h1) (pow (sin h2) h1))) (sin h2)) (/ (sin h2) (sqrt (+ (pow (pow (sin h0) h1) 3) (pow (pow (sin h2) h1) 3)))) (/ (sin h2) (sqrt (- (* (pow (sin h0) h1) (pow (sin h0) h1)) (* (pow (sin h2) h1) (pow (sin h2) h1))))) (- (+ h2 (* 1/12 (* (pow h0 2) h2))) (* 1/6 (pow h2 3))) (sqrt (+ (pow (sin h0) 2) (pow (sin h2) 2))) (sqrt (+ (pow (sin h0) 2) (pow (sin h2) 2))) (- (+ (* h3 (pow h2 6)) (pow h2 2)) (* h4 (pow h2 4))) (pow (sin h2) h1) (pow (sin h2) h1) (- (+ (pow h0 2) (* h3 (pow h0 6))) (* h4 (pow h0 4))) (pow (sin h0) h1) (pow (sin h0) h1) (* 1/6 (* h0 h2)) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h2) 2)))) (sin h2)) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h2) 2)))) (sin h2)) 0.698 * * [simplify]: iteration 0 : 329 enodes (cost 1021 ) 0.704 * * [simplify]: iteration 1 : 1106 enodes (cost 946 ) 0.724 * * [simplify]: iteration 2 : 5002 enodes (cost 943 ) 0.728 * [simplify]: Simplified to: (log (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (exp (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (pow (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) 3) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (+ (pow (pow (sin kx) 2.0) 3) (pow (pow (sin ky) 2.0) 3))) (sqrt (+ (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (- (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (- (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)))) (sqrt (- (pow (sin kx) 2.0) (pow (sin ky) 2.0))) 1/2 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (log (pow (sin ky) 2.0)) (log (pow (sin ky) 2.0)) 2.0 (pow (sin ky) (* (cbrt 2.0) (cbrt 2.0))) (pow (sin ky) (sqrt 2.0)) (sin ky) (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0) (pow (sqrt (sin ky)) 2.0) (pow (sqrt (sin ky)) 2.0) 1 (pow (sin ky) 2.0) (log (pow (sin ky) 2.0)) (exp (pow (sin ky) 2.0)) (* (cbrt (pow (sin ky) 2.0)) (cbrt (pow (sin ky) 2.0))) (cbrt (pow (sin ky) 2.0)) (pow (pow (sin ky) 2.0) 3) (sqrt (pow (sin ky) 2.0)) (sqrt (pow (sin ky) 2.0)) (pow (sin ky) (/ 2.0 2)) (pow (sin ky) (/ 2.0 2)) (log (pow (sin kx) 2.0)) (log (pow (sin kx) 2.0)) 2.0 (pow (sin kx) (* (cbrt 2.0) (cbrt 2.0))) (pow (sin kx) (sqrt 2.0)) (sin kx) (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0) (pow (sqrt (sin kx)) 2.0) (pow (sqrt (sin kx)) 2.0) 1 (pow (sin kx) 2.0) (log (pow (sin kx) 2.0)) (exp (pow (sin kx) 2.0)) (* (cbrt (pow (sin kx) 2.0)) (cbrt (pow (sin kx) 2.0))) (cbrt (pow (sin kx) 2.0)) (pow (pow (sin kx) 2.0) 3) (sqrt (pow (sin kx) 2.0)) (sqrt (pow (sin kx) 2.0)) (pow (sin kx) (/ 2.0 2)) (pow (sin kx) (/ 2.0 2)) (log (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (log (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (exp (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (pow (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) 3) (* (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (pow (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) 3) (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (- (sin ky)) (- (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (cbrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (cbrt (sin ky)) (/ (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sin ky)))) (/ (cbrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (sin ky)) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sqrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sin ky)) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sin ky)) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sin ky)) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sin ky)) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sin ky) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ 1 (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) 1 (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) 1 (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) 1 (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) 1 (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin ky)) (/ (sin ky) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sin ky) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin ky) (sin ky) (sin ky) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin ky) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (sin ky))) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (sin ky))) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin ky)) (/ (sin ky) (sqrt (+ (pow (pow (sin kx) 2.0) 3) (pow (pow (sin ky) 2.0) 3)))) (/ (sin ky) (sqrt (- (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0))))) (- (+ ky (* 1/12 (* (pow kx 2) ky))) (* 1/6 (pow ky 3))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (- (+ (* 0.04444444444444444 (pow ky 6)) (pow ky 2)) (* 0.3333333333333333 (pow ky 4))) (pow (sin ky) 2.0) (pow (sin ky) 2.0) (- (+ (pow kx 2) (* 0.04444444444444444 (pow kx 6))) (* 0.3333333333333333 (pow kx 4))) (pow (sin kx) 2.0) (pow (sin kx) 2.0) (* 1/6 (* kx ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) 0.729 * * * [progress]: adding candidates to table 1.059 * * [progress]: iteration 2 / 4 1.059 * * * [progress]: picking best candidate 1.121 * * * * [pick]: Picked # 1.121 * * * [progress]: localizing error 1.139 * * * [progress]: generating rewritten candidates 1.139 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.175 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.256 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 2) 1.260 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1) 1.270 * * * [progress]: generating series expansions 1.270 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.270 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in (kx ky) around 0 1.270 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in ky 1.270 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 1.270 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 1.270 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 1.270 * [taylor]: Taking taylor expansion of (sin kx) in ky 1.271 * [taylor]: Taking taylor expansion of kx in ky 1.271 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 1.271 * [taylor]: Taking taylor expansion of (sin ky) in ky 1.271 * [taylor]: Taking taylor expansion of ky in ky 1.274 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in kx 1.274 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 1.274 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 1.274 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 1.274 * [taylor]: Taking taylor expansion of (sin kx) in kx 1.274 * [taylor]: Taking taylor expansion of kx in kx 1.274 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 1.274 * [taylor]: Taking taylor expansion of (sin ky) in kx 1.274 * [taylor]: Taking taylor expansion of ky in kx 1.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in kx 1.277 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 1.277 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 1.277 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 1.277 * [taylor]: Taking taylor expansion of (sin kx) in kx 1.277 * [taylor]: Taking taylor expansion of kx in kx 1.277 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 1.277 * [taylor]: Taking taylor expansion of (sin ky) in kx 1.277 * [taylor]: Taking taylor expansion of ky in kx 1.280 * [taylor]: Taking taylor expansion of (/ 1 (sin ky)) in ky 1.280 * [taylor]: Taking taylor expansion of (sin ky) in ky 1.280 * [taylor]: Taking taylor expansion of ky in ky 1.281 * [taylor]: Taking taylor expansion of 0 in ky 1.286 * [taylor]: Taking taylor expansion of (/ -1/2 (pow (sin ky) 3)) in ky 1.286 * [taylor]: Taking taylor expansion of -1/2 in ky 1.286 * [taylor]: Taking taylor expansion of (pow (sin ky) 3) in ky 1.286 * [taylor]: Taking taylor expansion of (sin ky) in ky 1.286 * [taylor]: Taking taylor expansion of ky in ky 1.300 * [taylor]: Taking taylor expansion of 0 in ky 1.308 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in (kx ky) around 0 1.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 1.308 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 1.308 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 1.308 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 1.308 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 1.309 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 1.309 * [taylor]: Taking taylor expansion of kx in ky 1.309 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 1.309 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 1.309 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 1.309 * [taylor]: Taking taylor expansion of ky in ky 1.312 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 1.312 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 1.312 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 1.312 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 1.312 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 1.312 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 1.312 * [taylor]: Taking taylor expansion of kx in kx 1.313 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 1.313 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 1.313 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 1.313 * [taylor]: Taking taylor expansion of ky in kx 1.316 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 1.316 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 1.316 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 1.316 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 1.316 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 1.316 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 1.316 * [taylor]: Taking taylor expansion of kx in kx 1.316 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 1.316 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 1.316 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 1.316 * [taylor]: Taking taylor expansion of ky in kx 1.320 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 1.320 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 1.320 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 1.320 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 1.320 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 1.320 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 1.320 * [taylor]: Taking taylor expansion of kx in ky 1.320 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 1.320 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 1.320 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 1.320 * [taylor]: Taking taylor expansion of ky in ky 1.324 * [taylor]: Taking taylor expansion of 0 in ky 1.328 * [taylor]: Taking taylor expansion of 0 in ky 1.338 * [taylor]: Taking taylor expansion of 0 in ky 1.338 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in (kx ky) around 0 1.338 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 1.338 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 1.338 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 1.338 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 1.338 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 1.338 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 1.338 * [taylor]: Taking taylor expansion of -1 in ky 1.338 * [taylor]: Taking taylor expansion of kx in ky 1.338 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 1.338 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 1.338 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 1.338 * [taylor]: Taking taylor expansion of -1 in ky 1.338 * [taylor]: Taking taylor expansion of ky in ky 1.342 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 1.342 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 1.342 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 1.342 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 1.342 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 1.342 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 1.342 * [taylor]: Taking taylor expansion of -1 in kx 1.342 * [taylor]: Taking taylor expansion of kx in kx 1.342 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 1.342 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 1.342 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 1.342 * [taylor]: Taking taylor expansion of -1 in kx 1.342 * [taylor]: Taking taylor expansion of ky in kx 1.346 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 1.346 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 1.346 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 1.346 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 1.346 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 1.346 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 1.346 * [taylor]: Taking taylor expansion of -1 in kx 1.346 * [taylor]: Taking taylor expansion of kx in kx 1.346 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 1.346 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 1.346 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 1.346 * [taylor]: Taking taylor expansion of -1 in kx 1.346 * [taylor]: Taking taylor expansion of ky in kx 1.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 1.350 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 1.350 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 1.350 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 1.350 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 1.350 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 1.350 * [taylor]: Taking taylor expansion of -1 in ky 1.350 * [taylor]: Taking taylor expansion of kx in ky 1.350 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 1.350 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 1.350 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 1.350 * [taylor]: Taking taylor expansion of -1 in ky 1.350 * [taylor]: Taking taylor expansion of ky in ky 1.354 * [taylor]: Taking taylor expansion of 0 in ky 1.358 * [taylor]: Taking taylor expansion of 0 in ky 1.372 * [taylor]: Taking taylor expansion of 0 in ky 1.372 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.372 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in (kx ky) around 0 1.372 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in ky 1.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in ky 1.373 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 1.373 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 1.373 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 1.373 * [taylor]: Taking taylor expansion of (sin kx) in ky 1.373 * [taylor]: Taking taylor expansion of kx in ky 1.373 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 1.373 * [taylor]: Taking taylor expansion of (sin ky) in ky 1.373 * [taylor]: Taking taylor expansion of ky in ky 1.375 * [taylor]: Taking taylor expansion of (sin ky) in ky 1.375 * [taylor]: Taking taylor expansion of ky in ky 1.375 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in kx 1.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in kx 1.375 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 1.375 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 1.375 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 1.376 * [taylor]: Taking taylor expansion of (sin kx) in kx 1.376 * [taylor]: Taking taylor expansion of kx in kx 1.376 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 1.376 * [taylor]: Taking taylor expansion of (sin ky) in kx 1.376 * [taylor]: Taking taylor expansion of ky in kx 1.379 * [taylor]: Taking taylor expansion of (sin ky) in kx 1.379 * [taylor]: Taking taylor expansion of ky in kx 1.379 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in kx 1.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in kx 1.379 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 1.379 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 1.379 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 1.379 * [taylor]: Taking taylor expansion of (sin kx) in kx 1.379 * [taylor]: Taking taylor expansion of kx in kx 1.379 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 1.379 * [taylor]: Taking taylor expansion of (sin ky) in kx 1.379 * [taylor]: Taking taylor expansion of ky in kx 1.382 * [taylor]: Taking taylor expansion of (sin ky) in kx 1.382 * [taylor]: Taking taylor expansion of ky in kx 1.382 * [taylor]: Taking taylor expansion of 1 in ky 1.383 * [taylor]: Taking taylor expansion of 0 in ky 1.389 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow (sin ky) 2)))) in ky 1.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin ky) 2))) in ky 1.389 * [taylor]: Taking taylor expansion of 1/2 in ky 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin ky) 2)) in ky 1.389 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 1.389 * [taylor]: Taking taylor expansion of (sin ky) in ky 1.389 * [taylor]: Taking taylor expansion of ky in ky 1.401 * [taylor]: Taking taylor expansion of 0 in ky 1.405 * [approximate]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in (kx ky) around 0 1.405 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky 1.405 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 1.405 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 1.405 * [taylor]: Taking taylor expansion of ky in ky 1.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 1.405 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 1.405 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 1.405 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 1.405 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 1.405 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 1.405 * [taylor]: Taking taylor expansion of kx in ky 1.405 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 1.405 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 1.405 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 1.405 * [taylor]: Taking taylor expansion of ky in ky 1.409 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx 1.409 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 1.409 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 1.409 * [taylor]: Taking taylor expansion of ky in kx 1.409 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 1.409 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 1.409 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 1.409 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 1.409 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 1.409 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 1.409 * [taylor]: Taking taylor expansion of kx in kx 1.409 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 1.409 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 1.409 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 1.409 * [taylor]: Taking taylor expansion of ky in kx 1.413 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx 1.413 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 1.413 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 1.413 * [taylor]: Taking taylor expansion of ky in kx 1.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 1.413 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 1.413 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 1.413 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 1.413 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 1.413 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 1.413 * [taylor]: Taking taylor expansion of kx in kx 1.413 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 1.413 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 1.413 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 1.413 * [taylor]: Taking taylor expansion of ky in kx 1.417 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky 1.417 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 1.417 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 1.417 * [taylor]: Taking taylor expansion of ky in ky 1.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 1.418 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 1.418 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 1.418 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 1.418 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 1.418 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 1.418 * [taylor]: Taking taylor expansion of kx in ky 1.418 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 1.418 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 1.418 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 1.418 * [taylor]: Taking taylor expansion of ky in ky 1.424 * [taylor]: Taking taylor expansion of 0 in ky 1.431 * [taylor]: Taking taylor expansion of 0 in ky 1.444 * [taylor]: Taking taylor expansion of 0 in ky 1.445 * [approximate]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in (kx ky) around 0 1.445 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky 1.445 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 1.445 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 1.445 * [taylor]: Taking taylor expansion of -1 in ky 1.445 * [taylor]: Taking taylor expansion of ky in ky 1.445 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 1.445 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 1.445 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 1.445 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 1.445 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 1.445 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 1.445 * [taylor]: Taking taylor expansion of -1 in ky 1.445 * [taylor]: Taking taylor expansion of kx in ky 1.445 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 1.445 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 1.445 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 1.445 * [taylor]: Taking taylor expansion of -1 in ky 1.445 * [taylor]: Taking taylor expansion of ky in ky 1.449 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx 1.449 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 1.449 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 1.449 * [taylor]: Taking taylor expansion of -1 in kx 1.449 * [taylor]: Taking taylor expansion of ky in kx 1.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 1.449 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 1.449 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 1.449 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 1.449 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 1.449 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 1.449 * [taylor]: Taking taylor expansion of -1 in kx 1.449 * [taylor]: Taking taylor expansion of kx in kx 1.449 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 1.450 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 1.450 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 1.450 * [taylor]: Taking taylor expansion of -1 in kx 1.450 * [taylor]: Taking taylor expansion of ky in kx 1.453 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx 1.453 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 1.453 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 1.453 * [taylor]: Taking taylor expansion of -1 in kx 1.453 * [taylor]: Taking taylor expansion of ky in kx 1.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 1.453 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 1.453 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 1.453 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 1.453 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 1.453 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 1.453 * [taylor]: Taking taylor expansion of -1 in kx 1.453 * [taylor]: Taking taylor expansion of kx in kx 1.454 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 1.454 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 1.454 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 1.454 * [taylor]: Taking taylor expansion of -1 in kx 1.454 * [taylor]: Taking taylor expansion of ky in kx 1.458 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky 1.458 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 1.458 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 1.458 * [taylor]: Taking taylor expansion of -1 in ky 1.458 * [taylor]: Taking taylor expansion of ky in ky 1.458 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 1.458 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 1.458 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 1.458 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 1.458 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 1.462 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 1.462 * [taylor]: Taking taylor expansion of -1 in ky 1.462 * [taylor]: Taking taylor expansion of kx in ky 1.463 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 1.463 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 1.463 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 1.463 * [taylor]: Taking taylor expansion of -1 in ky 1.463 * [taylor]: Taking taylor expansion of ky in ky 1.469 * [taylor]: Taking taylor expansion of 0 in ky 1.476 * [taylor]: Taking taylor expansion of 0 in ky 1.489 * [taylor]: Taking taylor expansion of 0 in ky 1.489 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 2) 1.489 * [approximate]: Taking taylor expansion of (pow (sin ky) 2) in (ky) around 0 1.489 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 1.489 * [taylor]: Taking taylor expansion of (sin ky) in ky 1.489 * [taylor]: Taking taylor expansion of ky in ky 1.490 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 1.490 * [taylor]: Taking taylor expansion of (sin ky) in ky 1.490 * [taylor]: Taking taylor expansion of ky in ky 1.497 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in (ky) around 0 1.497 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 1.498 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 1.498 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 1.498 * [taylor]: Taking taylor expansion of ky in ky 1.498 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 1.498 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 1.498 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 1.498 * [taylor]: Taking taylor expansion of ky in ky 1.502 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in (ky) around 0 1.502 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 1.502 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 1.502 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 1.502 * [taylor]: Taking taylor expansion of -1 in ky 1.502 * [taylor]: Taking taylor expansion of ky in ky 1.503 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 1.503 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 1.503 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 1.503 * [taylor]: Taking taylor expansion of -1 in ky 1.503 * [taylor]: Taking taylor expansion of ky in ky 1.507 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1) 1.507 * [approximate]: Taking taylor expansion of (pow (sin kx) 2) in (kx) around 0 1.507 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 1.507 * [taylor]: Taking taylor expansion of (sin kx) in kx 1.507 * [taylor]: Taking taylor expansion of kx in kx 1.508 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 1.508 * [taylor]: Taking taylor expansion of (sin kx) in kx 1.508 * [taylor]: Taking taylor expansion of kx in kx 1.515 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in (kx) around 0 1.515 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 1.515 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 1.515 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 1.515 * [taylor]: Taking taylor expansion of kx in kx 1.515 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 1.515 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 1.515 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 1.515 * [taylor]: Taking taylor expansion of kx in kx 1.520 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in (kx) around 0 1.520 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 1.520 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 1.520 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 1.520 * [taylor]: Taking taylor expansion of -1 in kx 1.520 * [taylor]: Taking taylor expansion of kx in kx 1.520 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 1.520 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 1.520 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 1.520 * [taylor]: Taking taylor expansion of -1 in kx 1.520 * [taylor]: Taking taylor expansion of kx in kx 1.524 * * * [progress]: simplifying candidates 1.526 * [simplify]: Simplifying using # : (log (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (exp (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (* (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (sqrt (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (sqrt (/ (cbrt 1) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (cbrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)) (sqrt (/ (cbrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (pow 1 2))) (sqrt (/ (cbrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)) (sqrt (/ (cbrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ (sqrt 1) (* (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (sqrt (/ (sqrt 1) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (sqrt 1) 1)) (sqrt (/ (sqrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ (sqrt 1) (pow 1 2))) (sqrt (/ (sqrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ (sqrt 1) 1)) (sqrt (/ (sqrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (* (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 1)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (pow 1 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 1)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt 1) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt 1) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (pow (sin kx) 2) 3) (pow (pow (sin ky) 2) 3)))) (sqrt (+ (* (pow (sin kx) 2) (pow (sin kx) 2)) (- (* (pow (sin ky) 2) (pow (sin ky) 2)) (* (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (- (* (pow (sin kx) 2) (pow (sin kx) 2)) (* (pow (sin ky) 2) (pow (sin ky) 2))))) (sqrt (- (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ -1 2) (/ (- 1) 2) (/ 1 2) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (+ (log (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (log (sin ky))) (log (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (exp (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (* (* (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (* (sin ky) (sin ky)) (sin ky))) (* (cbrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (cbrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)))) (cbrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (* (* (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (sqrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (sqrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (sin ky))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1) (* (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ (cbrt 1) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ (cbrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ (cbrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ (cbrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ (cbrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ (sqrt 1) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ (sqrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ (sqrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ (sqrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (+ (* (pow (sin kx) 2) (pow (sin kx) 2)) (- (* (pow (sin ky) 2) (pow (sin ky) 2)) (* (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (- (pow (sin kx) 2) (pow (sin ky) 2))) (sin ky)) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt 1) (sin ky)) (* (log (sin ky)) 2) (* (log (sin ky)) 2) (* 1 2) (pow (sin ky) (* (cbrt 2) (cbrt 2))) (pow (sin ky) (sqrt 2)) (pow (sin ky) 1) (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2) (pow (cbrt (sin ky)) 2) (pow (sqrt (sin ky)) 2) (pow (sqrt (sin ky)) 2) (pow 1 2) (pow (sin ky) 2) (log (pow (sin ky) 2)) (exp (pow (sin ky) 2)) (* (cbrt (pow (sin ky) 2)) (cbrt (pow (sin ky) 2))) (cbrt (pow (sin ky) 2)) (* (* (pow (sin ky) 2) (pow (sin ky) 2)) (pow (sin ky) 2)) (sqrt (pow (sin ky) 2)) (sqrt (pow (sin ky) 2)) (pow (sin ky) (/ 2 2)) (pow (sin ky) (/ 2 2)) (* (log (sin kx)) 2) (* (log (sin kx)) 2) (* 1 2) (pow (sin kx) (* (cbrt 2) (cbrt 2))) (pow (sin kx) (sqrt 2)) (pow (sin kx) 1) (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2) (pow (cbrt (sin kx)) 2) (pow (sqrt (sin kx)) 2) (pow (sqrt (sin kx)) 2) (pow 1 2) (pow (sin kx) 2) (log (pow (sin kx) 2)) (exp (pow (sin kx) 2)) (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2)) (* (* (pow (sin kx) 2) (pow (sin kx) 2)) (pow (sin kx) 2)) (sqrt (pow (sin kx) 2)) (sqrt (pow (sin kx) 2)) (pow (sin kx) (/ 2 2)) (pow (sin kx) (/ 2 2)) (- (+ (* 7/360 (pow ky 3)) (* 1/6 ky)) (* 17/240 (* (pow kx 2) ky))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (- 1 (* 1/6 (pow kx 2))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (- (+ (* 2/45 (pow ky 6)) (pow ky 2)) (* 1/3 (pow ky 4))) (pow (sin ky) 2) (pow (sin ky) 2) (- (+ (pow kx 2) (* 2/45 (pow kx 6))) (* 1/3 (pow kx 4))) (pow (sin kx) 2) (pow (sin kx) 2) 1.527 * [simplify]: Sending expressions to egg_math: (log (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (exp (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (* (cbrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (cbrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))))) (cbrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (* (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (* (cbrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (cbrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))))) (sqrt (cbrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (pow (sin h0) 2) (pow (sin h1) 2))) (cbrt (+ (pow (sin h0) 2) (pow (sin h1) 2)))))) (sqrt (/ (cbrt 1) (cbrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ (cbrt 1) (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)) (sqrt (/ (cbrt 1) (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (pow 1 2))) (sqrt (/ (cbrt 1) (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)) (sqrt (/ (cbrt 1) (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (/ (sqrt 1) (* (cbrt (+ (pow (sin h0) 2) (pow (sin h1) 2))) (cbrt (+ (pow (sin h0) 2) (pow (sin h1) 2)))))) (sqrt (/ (sqrt 1) (cbrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ (sqrt 1) 1)) (sqrt (/ (sqrt 1) (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (/ (sqrt 1) (pow 1 2))) (sqrt (/ (sqrt 1) (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (/ (sqrt 1) 1)) (sqrt (/ (sqrt 1) (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (/ 1 (* (cbrt (+ (pow (sin h0) 2) (pow (sin h1) 2))) (cbrt (+ (pow (sin h0) 2) (pow (sin h1) 2)))))) (sqrt (/ 1 (cbrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ 1 1)) (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (/ 1 (pow 1 2))) (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (/ 1 1)) (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt 1) (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt 1) (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (/ 1 (+ (pow (pow (sin h0) 2) 3) (pow (pow (sin h1) 2) 3)))) (sqrt (+ (* (pow (sin h0) 2) (pow (sin h0) 2)) (- (* (pow (sin h1) 2) (pow (sin h1) 2)) (* (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ 1 (- (* (pow (sin h0) 2) (pow (sin h0) 2)) (* (pow (sin h1) 2) (pow (sin h1) 2))))) (sqrt (- (pow (sin h0) 2) (pow (sin h1) 2))) (sqrt 1) (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))) (/ -1 2) (/ (- 1) 2) (/ 1 2) (sqrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (+ (log (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (log (sin h1))) (log (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1))) (exp (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1))) (* (* (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (* (* (sin h1) (sin h1)) (sin h1))) (* (cbrt (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1))) (cbrt (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)))) (cbrt (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1))) (* (* (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1))) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1))) (sqrt (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1))) (sqrt (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1))) (* (sqrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (sin h1))) (* (sqrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (sin h1))) (* (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (sin h1))) (* (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (sin h1))) (* (sqrt (/ 1 (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (sin h1))) (* (sqrt (/ 1 (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (sin h1))) (* (sqrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (sin h1))) (* (sqrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sqrt (sin h1))) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (* (cbrt (sin h1)) (cbrt (sin h1)))) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (sin h1))) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) 1) (* (cbrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sin h1)) (* (sqrt (cbrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sin h1)) (* (sqrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sin h1)) (* (sqrt (/ (cbrt 1) (cbrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sin h1)) (* (sqrt (/ (cbrt 1) (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sin h1)) (* (sqrt (/ (cbrt 1) (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (/ (cbrt 1) (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (/ (cbrt 1) (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (/ (sqrt 1) (cbrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sin h1)) (* (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sin h1)) (* (sqrt (/ (sqrt 1) (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (/ (sqrt 1) (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (/ (sqrt 1) (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (/ 1 (cbrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sin h1)) (* (sqrt (/ 1 (sqrt (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sin h1)) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (+ (* (pow (sin h0) 2) (pow (sin h0) 2)) (- (* (pow (sin h1) 2) (pow (sin h1) 2)) (* (pow (sin h0) 2) (pow (sin h1) 2))))) (sin h1)) (* (sqrt (- (pow (sin h0) 2) (pow (sin h1) 2))) (sin h1)) (* (sqrt (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2))))) (sin h1)) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt 1) (sin h1)) (* (log (sin h1)) 2) (* (log (sin h1)) 2) (* 1 2) (pow (sin h1) (* (cbrt 2) (cbrt 2))) (pow (sin h1) (sqrt 2)) (pow (sin h1) 1) (pow (* (cbrt (sin h1)) (cbrt (sin h1))) 2) (pow (cbrt (sin h1)) 2) (pow (sqrt (sin h1)) 2) (pow (sqrt (sin h1)) 2) (pow 1 2) (pow (sin h1) 2) (log (pow (sin h1) 2)) (exp (pow (sin h1) 2)) (* (cbrt (pow (sin h1) 2)) (cbrt (pow (sin h1) 2))) (cbrt (pow (sin h1) 2)) (* (* (pow (sin h1) 2) (pow (sin h1) 2)) (pow (sin h1) 2)) (sqrt (pow (sin h1) 2)) (sqrt (pow (sin h1) 2)) (pow (sin h1) (/ 2 2)) (pow (sin h1) (/ 2 2)) (* (log (sin h0)) 2) (* (log (sin h0)) 2) (* 1 2) (pow (sin h0) (* (cbrt 2) (cbrt 2))) (pow (sin h0) (sqrt 2)) (pow (sin h0) 1) (pow (* (cbrt (sin h0)) (cbrt (sin h0))) 2) (pow (cbrt (sin h0)) 2) (pow (sqrt (sin h0)) 2) (pow (sqrt (sin h0)) 2) (pow 1 2) (pow (sin h0) 2) (log (pow (sin h0) 2)) (exp (pow (sin h0) 2)) (* (cbrt (pow (sin h0) 2)) (cbrt (pow (sin h0) 2))) (cbrt (pow (sin h0) 2)) (* (* (pow (sin h0) 2) (pow (sin h0) 2)) (pow (sin h0) 2)) (sqrt (pow (sin h0) 2)) (sqrt (pow (sin h0) 2)) (pow (sin h0) (/ 2 2)) (pow (sin h0) (/ 2 2)) (- (+ (* 7/360 (pow h1 3)) (* 1/6 h1)) (* 17/240 (* (pow h0 2) h1))) (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (- 1 (* 1/6 (pow h0 2))) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (* (sqrt (/ 1 (+ (pow (sin h0) 2) (pow (sin h1) 2)))) (sin h1)) (- (+ (* 2/45 (pow h1 6)) (pow h1 2)) (* 1/3 (pow h1 4))) (pow (sin h1) 2) (pow (sin h1) 2) (- (+ (pow h0 2) (* 2/45 (pow h0 6))) (* 1/3 (pow h0 4))) (pow (sin h0) 2) (pow (sin h0) 2) 1.533 * * [simplify]: iteration 0 : 369 enodes (cost 1078 ) 1.539 * * [simplify]: iteration 1 : 1262 enodes (cost 985 ) 1.565 * * [simplify]: iteration 2 : 5002 enodes (cost 948 ) 1.569 * [simplify]: Simplified to: (log (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (exp (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (pow (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 3) (fabs (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (fabs (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fabs (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fabs (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (pow (sin kx) 2) 3) (pow (pow (sin ky) 2) 3)))) (sqrt (+ (* (pow (sin kx) 2) (pow (sin kx) 2)) (- (* (pow (sin ky) 2) (pow (sin ky) 2)) (* (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (- (* (pow (sin kx) 2) (pow (sin kx) 2)) (* (pow (sin ky) 2) (pow (sin ky) 2))))) (sqrt (- (pow (sin kx) 2) (pow (sin ky) 2))) 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) -1/2 (- 1/2) 1/2 (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (log (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (log (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (exp (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (pow (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) 3) (* (cbrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (cbrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)))) (cbrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (pow (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) 3) (sqrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (sqrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (pow (cbrt (sin ky)) 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (sin ky))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (+ (* (pow (sin kx) 2) (pow (sin kx) 2)) (- (* (pow (sin ky) 2) (pow (sin ky) 2)) (* (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (- (pow (sin kx) 2) (pow (sin ky) 2))) (sin ky)) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (sin ky) (log (pow (sin ky) 2)) (log (pow (sin ky) 2)) 2 (pow (sin ky) (* (cbrt 2) (cbrt 2))) (pow (sin ky) (sqrt 2)) (sin ky) (pow (cbrt (sin ky)) 4) (pow (cbrt (sin ky)) 2) (sin ky) (sin ky) 1 (pow (sin ky) 2) (log (pow (sin ky) 2)) (exp (pow (sin ky) 2)) (* (cbrt (pow (sin ky) 2)) (cbrt (pow (sin ky) 2))) (cbrt (pow (sin ky) 2)) (pow (sin ky) 6) (fabs (sin ky)) (fabs (sin ky)) (sin ky) (sin ky) (log (pow (sin kx) 2)) (log (pow (sin kx) 2)) 2 (pow (sin kx) (* (cbrt 2) (cbrt 2))) (pow (sin kx) (sqrt 2)) (sin kx) (pow (cbrt (sin kx)) 4) (pow (cbrt (sin kx)) 2) (sin kx) (sin kx) 1 (pow (sin kx) 2) (log (pow (sin kx) 2)) (exp (pow (sin kx) 2)) (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2)) (pow (sin kx) 6) (fabs (sin kx)) (fabs (sin kx)) (sin kx) (sin kx) (+ (* ky (- 1/6 (* 17/240 (pow kx 2)))) (* 7/360 (pow ky 3))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (- 1 (* 1/6 (pow kx 2))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (- (+ (* 2/45 (pow ky 6)) (pow ky 2)) (* 1/3 (pow ky 4))) (pow (sin ky) 2) (pow (sin ky) 2) (- (+ (pow kx 2) (* 2/45 (pow kx 6))) (* 1/3 (pow kx 4))) (pow (sin kx) 2) (pow (sin kx) 2) 1.570 * * * [progress]: adding candidates to table 1.940 * * [progress]: iteration 3 / 4 1.940 * * * [progress]: picking best candidate 2.008 * * * * [pick]: Picked # 2.008 * * * [progress]: localizing error 2.031 * * * [progress]: generating rewritten candidates 2.031 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.062 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2 1) 2.064 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1 2) 2.065 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 2.068 * * * [progress]: generating series expansions 2.068 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.068 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in (kx ky) around 0 2.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 2.068 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 2.068 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 2.068 * [taylor]: Taking taylor expansion of (sin kx) in ky 2.068 * [taylor]: Taking taylor expansion of kx in ky 2.068 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 2.068 * [taylor]: Taking taylor expansion of (sin ky) in ky 2.068 * [taylor]: Taking taylor expansion of ky in ky 2.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 2.071 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 2.071 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 2.071 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.071 * [taylor]: Taking taylor expansion of kx in kx 2.072 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 2.072 * [taylor]: Taking taylor expansion of (sin ky) in kx 2.072 * [taylor]: Taking taylor expansion of ky in kx 2.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 2.074 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 2.074 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 2.074 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.074 * [taylor]: Taking taylor expansion of kx in kx 2.074 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 2.074 * [taylor]: Taking taylor expansion of (sin ky) in kx 2.074 * [taylor]: Taking taylor expansion of ky in kx 2.076 * [taylor]: Taking taylor expansion of (sin ky) in ky 2.076 * [taylor]: Taking taylor expansion of ky in ky 2.077 * [taylor]: Taking taylor expansion of 0 in ky 2.080 * [taylor]: Taking taylor expansion of (/ 1/2 (sin ky)) in ky 2.080 * [taylor]: Taking taylor expansion of 1/2 in ky 2.080 * [taylor]: Taking taylor expansion of (sin ky) in ky 2.080 * [taylor]: Taking taylor expansion of ky in ky 2.086 * [taylor]: Taking taylor expansion of 0 in ky 2.089 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in (kx ky) around 0 2.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 2.089 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 2.089 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 2.089 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 2.089 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 2.089 * [taylor]: Taking taylor expansion of kx in ky 2.090 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 2.090 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 2.090 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 2.090 * [taylor]: Taking taylor expansion of ky in ky 2.093 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 2.093 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 2.093 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 2.093 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.093 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.093 * [taylor]: Taking taylor expansion of kx in kx 2.093 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 2.093 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 2.093 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 2.093 * [taylor]: Taking taylor expansion of ky in kx 2.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 2.096 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 2.096 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 2.096 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.096 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.096 * [taylor]: Taking taylor expansion of kx in kx 2.096 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 2.096 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 2.096 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 2.096 * [taylor]: Taking taylor expansion of ky in kx 2.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 2.099 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 2.099 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 2.099 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 2.099 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 2.099 * [taylor]: Taking taylor expansion of kx in ky 2.099 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 2.099 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 2.099 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 2.099 * [taylor]: Taking taylor expansion of ky in ky 2.102 * [taylor]: Taking taylor expansion of 0 in ky 2.106 * [taylor]: Taking taylor expansion of 0 in ky 2.114 * [taylor]: Taking taylor expansion of 0 in ky 2.114 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in (kx ky) around 0 2.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 2.114 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 2.114 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 2.114 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 2.114 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 2.114 * [taylor]: Taking taylor expansion of -1 in ky 2.114 * [taylor]: Taking taylor expansion of kx in ky 2.115 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 2.115 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 2.115 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 2.115 * [taylor]: Taking taylor expansion of -1 in ky 2.115 * [taylor]: Taking taylor expansion of ky in ky 2.118 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 2.118 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 2.118 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 2.118 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 2.118 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 2.118 * [taylor]: Taking taylor expansion of -1 in kx 2.118 * [taylor]: Taking taylor expansion of kx in kx 2.118 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 2.118 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 2.118 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 2.118 * [taylor]: Taking taylor expansion of -1 in kx 2.118 * [taylor]: Taking taylor expansion of ky in kx 2.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 2.125 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 2.125 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 2.125 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 2.125 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 2.125 * [taylor]: Taking taylor expansion of -1 in kx 2.125 * [taylor]: Taking taylor expansion of kx in kx 2.125 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 2.125 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 2.125 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 2.125 * [taylor]: Taking taylor expansion of -1 in kx 2.125 * [taylor]: Taking taylor expansion of ky in kx 2.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 2.128 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 2.128 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 2.128 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 2.128 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 2.128 * [taylor]: Taking taylor expansion of -1 in ky 2.128 * [taylor]: Taking taylor expansion of kx in ky 2.128 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 2.128 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 2.128 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 2.128 * [taylor]: Taking taylor expansion of -1 in ky 2.129 * [taylor]: Taking taylor expansion of ky in ky 2.132 * [taylor]: Taking taylor expansion of 0 in ky 2.135 * [taylor]: Taking taylor expansion of 0 in ky 2.143 * [taylor]: Taking taylor expansion of 0 in ky 2.143 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2 1) 2.143 * [approximate]: Taking taylor expansion of (pow (sin kx) 1/3) in (kx) around 0 2.143 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 2.143 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 2.143 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 2.143 * [taylor]: Taking taylor expansion of 1/3 in kx 2.143 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 2.143 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.143 * [taylor]: Taking taylor expansion of kx in kx 2.144 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 2.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 2.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 2.144 * [taylor]: Taking taylor expansion of 1/3 in kx 2.144 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 2.144 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.145 * [taylor]: Taking taylor expansion of kx in kx 2.169 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in (kx) around 0 2.169 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 2.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 2.169 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 2.169 * [taylor]: Taking taylor expansion of 1/3 in kx 2.170 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 2.170 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.170 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.170 * [taylor]: Taking taylor expansion of kx in kx 2.170 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 2.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 2.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 2.170 * [taylor]: Taking taylor expansion of 1/3 in kx 2.170 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 2.170 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.170 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.170 * [taylor]: Taking taylor expansion of kx in kx 2.203 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in (kx) around 0 2.203 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 2.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 2.203 * [taylor]: Taking taylor expansion of 1/3 in kx 2.203 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 2.203 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 2.203 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 2.203 * [taylor]: Taking taylor expansion of -1 in kx 2.203 * [taylor]: Taking taylor expansion of kx in kx 2.203 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 2.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 2.203 * [taylor]: Taking taylor expansion of 1/3 in kx 2.203 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 2.203 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 2.203 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 2.203 * [taylor]: Taking taylor expansion of -1 in kx 2.203 * [taylor]: Taking taylor expansion of kx in kx 2.241 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1 2) 2.241 * [approximate]: Taking taylor expansion of (pow (sin kx) 1/3) in (kx) around 0 2.242 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 2.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 2.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 2.242 * [taylor]: Taking taylor expansion of 1/3 in kx 2.242 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 2.242 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.242 * [taylor]: Taking taylor expansion of kx in kx 2.243 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 2.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 2.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 2.243 * [taylor]: Taking taylor expansion of 1/3 in kx 2.243 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 2.243 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.243 * [taylor]: Taking taylor expansion of kx in kx 2.267 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in (kx) around 0 2.267 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 2.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 2.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 2.267 * [taylor]: Taking taylor expansion of 1/3 in kx 2.267 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 2.267 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.267 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.268 * [taylor]: Taking taylor expansion of kx in kx 2.268 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 2.268 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 2.268 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 2.268 * [taylor]: Taking taylor expansion of 1/3 in kx 2.268 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 2.268 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.268 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.268 * [taylor]: Taking taylor expansion of kx in kx 2.306 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in (kx) around 0 2.306 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 2.306 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 2.306 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 2.306 * [taylor]: Taking taylor expansion of 1/3 in kx 2.306 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 2.306 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 2.306 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 2.306 * [taylor]: Taking taylor expansion of -1 in kx 2.306 * [taylor]: Taking taylor expansion of kx in kx 2.307 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 2.307 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 2.307 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 2.307 * [taylor]: Taking taylor expansion of 1/3 in kx 2.307 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 2.307 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 2.307 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 2.307 * [taylor]: Taking taylor expansion of -1 in kx 2.307 * [taylor]: Taking taylor expansion of kx in kx 2.340 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1 1) 2.340 * [approximate]: Taking taylor expansion of (pow (sin kx) 1/3) in (kx) around 0 2.340 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 2.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 2.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 2.340 * [taylor]: Taking taylor expansion of 1/3 in kx 2.340 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 2.340 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.340 * [taylor]: Taking taylor expansion of kx in kx 2.341 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 2.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 2.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 2.341 * [taylor]: Taking taylor expansion of 1/3 in kx 2.341 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 2.341 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.341 * [taylor]: Taking taylor expansion of kx in kx 2.367 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in (kx) around 0 2.367 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 2.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 2.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 2.367 * [taylor]: Taking taylor expansion of 1/3 in kx 2.367 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 2.367 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.367 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.367 * [taylor]: Taking taylor expansion of kx in kx 2.367 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 2.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 2.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 2.368 * [taylor]: Taking taylor expansion of 1/3 in kx 2.368 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 2.368 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.368 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.368 * [taylor]: Taking taylor expansion of kx in kx 2.406 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in (kx) around 0 2.406 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 2.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 2.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 2.406 * [taylor]: Taking taylor expansion of 1/3 in kx 2.406 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 2.406 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 2.406 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 2.406 * [taylor]: Taking taylor expansion of -1 in kx 2.406 * [taylor]: Taking taylor expansion of kx in kx 2.406 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 2.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 2.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 2.406 * [taylor]: Taking taylor expansion of 1/3 in kx 2.406 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 2.406 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 2.406 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 2.406 * [taylor]: Taking taylor expansion of -1 in kx 2.406 * [taylor]: Taking taylor expansion of kx in kx 2.439 * * * [progress]: simplifying candidates 2.440 * [simplify]: Simplifying using # : (log (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (exp (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (* (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (* (* (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (* (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt 1) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) (sqrt (+ (pow (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) 3) (pow (pow (sin ky) 2.0) 3))) (sqrt (+ (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0))) (- (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))))) (sqrt (- (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0))) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)))) (sqrt (- (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) (/ 1 2) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (cbrt (sin kx)) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (* (* (cbrt (sin kx)) (cbrt (sin kx))) (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (cbrt (sin kx)) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (* (* (cbrt (sin kx)) (cbrt (sin kx))) (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (cbrt (sin kx)) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (* (* (cbrt (sin kx)) (cbrt (sin kx))) (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (- (+ ky (* 1/12 (* (pow kx 2) ky))) (* 1/6 (pow ky 3))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) 2.440 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1)))) (exp (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1)))) (* (cbrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1)))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1))))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1)))) (* (* (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1))) (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1)))) (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1)))) (sqrt (* (cbrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1))) (cbrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1))))) (sqrt (cbrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1)))) (sqrt 1) (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1))) (sqrt (+ (pow (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) 3) (pow (pow (sin h2) h1) 3))) (sqrt (+ (* (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1))) (- (* (pow (sin h2) h1) (pow (sin h2) h1)) (* (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1))))) (sqrt (- (* (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1))) (* (pow (sin h2) h1) (pow (sin h2) h1)))) (sqrt (- (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1))) (/ 1 2) (sqrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (cbrt (sin h0)) h1)) (pow (sin h2) h1)))) (log (cbrt (sin h0))) (exp (cbrt (sin h0))) (cbrt (* (cbrt (sin h0)) (cbrt (sin h0)))) (cbrt (cbrt (sin h0))) (cbrt (sqrt (sin h0))) (cbrt (sqrt (sin h0))) (cbrt 1) (cbrt (sin h0)) (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0))) (* (* (cbrt (sin h0)) (cbrt (sin h0))) (cbrt (sin h0))) (sqrt (cbrt (sin h0))) (sqrt (cbrt (sin h0))) (log (cbrt (sin h0))) (exp (cbrt (sin h0))) (cbrt (* (cbrt (sin h0)) (cbrt (sin h0)))) (cbrt (cbrt (sin h0))) (cbrt (sqrt (sin h0))) (cbrt (sqrt (sin h0))) (cbrt 1) (cbrt (sin h0)) (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0))) (* (* (cbrt (sin h0)) (cbrt (sin h0))) (cbrt (sin h0))) (sqrt (cbrt (sin h0))) (sqrt (cbrt (sin h0))) (log (cbrt (sin h0))) (exp (cbrt (sin h0))) (cbrt (* (cbrt (sin h0)) (cbrt (sin h0)))) (cbrt (cbrt (sin h0))) (cbrt (sqrt (sin h0))) (cbrt (sqrt (sin h0))) (cbrt 1) (cbrt (sin h0)) (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0))) (* (* (cbrt (sin h0)) (cbrt (sin h0))) (cbrt (sin h0))) (sqrt (cbrt (sin h0))) (sqrt (cbrt (sin h0))) (- (+ h2 (* 1/12 (* (pow h0 2) h2))) (* 1/6 (pow h2 3))) (sqrt (+ (pow (sin h0) 2) (pow (sin h2) 2))) (sqrt (+ (pow (sin h0) 2) (pow (sin h2) 2))) (- (pow h0 1/3) (+ (* 1/3240 (pow (pow h0 13) 1/3)) (* 1/18 (pow (pow h0 7) 1/3)))) (pow (sin h0) 1/3) (pow (sin h0) 1/3) (- (pow h0 1/3) (+ (* 1/3240 (pow (pow h0 13) 1/3)) (* 1/18 (pow (pow h0 7) 1/3)))) (pow (sin h0) 1/3) (pow (sin h0) 1/3) (- (pow h0 1/3) (+ (* 1/3240 (pow (pow h0 13) 1/3)) (* 1/18 (pow (pow h0 7) 1/3)))) (pow (sin h0) 1/3) (pow (sin h0) 1/3) 2.443 * * [simplify]: iteration 0 : 183 enodes (cost 511 ) 2.447 * * [simplify]: iteration 1 : 496 enodes (cost 483 ) 2.458 * * [simplify]: iteration 2 : 2171 enodes (cost 477 ) 2.512 * * [simplify]: iteration 3 : 5002 enodes (cost 476 ) 2.515 * [simplify]: Simplified to: (log (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (exp (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (* (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (pow (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) 3) (fabs (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) 1 (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) (sqrt (+ (pow (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) 3) (pow (pow (sin ky) 2.0) 3))) (sqrt (+ (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0))) (- (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))))) (sqrt (- (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0))) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)))) (sqrt (- (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) 1/2 (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (pow (sin kx) 1/3) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (sin kx) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (pow (sin kx) 1/3) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (sin kx) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (pow (sin kx) 1/3) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (sin kx) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (- (+ ky (* 1/12 (* (pow kx 2) ky))) (* 1/6 (pow ky 3))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) 2.515 * * * [progress]: adding candidates to table 2.789 * * [progress]: iteration 4 / 4 2.789 * * * [progress]: picking best candidate 2.864 * * * * [pick]: Picked # 2.864 * * * [progress]: localizing error 2.895 * * * [progress]: generating rewritten candidates 2.895 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.938 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2 1 2 1) 2.940 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 2 1 1 2 1) 2.941 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2 1 1 1 1) 2.943 * * * [progress]: generating series expansions 2.943 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.944 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in (kx ky) around 0 2.944 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 2.944 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 2.944 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 2.944 * [taylor]: Taking taylor expansion of (sin kx) in ky 2.944 * [taylor]: Taking taylor expansion of kx in ky 2.944 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 2.944 * [taylor]: Taking taylor expansion of (sin ky) in ky 2.944 * [taylor]: Taking taylor expansion of ky in ky 2.947 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 2.947 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 2.947 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 2.947 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.947 * [taylor]: Taking taylor expansion of kx in kx 2.947 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 2.947 * [taylor]: Taking taylor expansion of (sin ky) in kx 2.947 * [taylor]: Taking taylor expansion of ky in kx 2.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 2.949 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 2.949 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 2.949 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.949 * [taylor]: Taking taylor expansion of kx in kx 2.950 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 2.950 * [taylor]: Taking taylor expansion of (sin ky) in kx 2.950 * [taylor]: Taking taylor expansion of ky in kx 2.955 * [taylor]: Taking taylor expansion of (sin ky) in ky 2.955 * [taylor]: Taking taylor expansion of ky in ky 2.955 * [taylor]: Taking taylor expansion of 0 in ky 2.958 * [taylor]: Taking taylor expansion of (/ 1/2 (sin ky)) in ky 2.958 * [taylor]: Taking taylor expansion of 1/2 in ky 2.958 * [taylor]: Taking taylor expansion of (sin ky) in ky 2.958 * [taylor]: Taking taylor expansion of ky in ky 2.964 * [taylor]: Taking taylor expansion of 0 in ky 2.968 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in (kx ky) around 0 2.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 2.968 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 2.968 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 2.968 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 2.968 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 2.968 * [taylor]: Taking taylor expansion of kx in ky 2.968 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 2.968 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 2.968 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 2.968 * [taylor]: Taking taylor expansion of ky in ky 2.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 2.971 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 2.971 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 2.971 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.971 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.971 * [taylor]: Taking taylor expansion of kx in kx 2.971 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 2.971 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 2.971 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 2.971 * [taylor]: Taking taylor expansion of ky in kx 2.974 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 2.974 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 2.974 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 2.974 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.974 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.974 * [taylor]: Taking taylor expansion of kx in kx 2.974 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 2.974 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 2.974 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 2.974 * [taylor]: Taking taylor expansion of ky in kx 2.977 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 2.977 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 2.977 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 2.977 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 2.977 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 2.977 * [taylor]: Taking taylor expansion of kx in ky 2.977 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 2.977 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 2.977 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 2.977 * [taylor]: Taking taylor expansion of ky in ky 2.980 * [taylor]: Taking taylor expansion of 0 in ky 2.984 * [taylor]: Taking taylor expansion of 0 in ky 2.991 * [taylor]: Taking taylor expansion of 0 in ky 2.992 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in (kx ky) around 0 2.992 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 2.992 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 2.992 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 2.992 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 2.992 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 2.992 * [taylor]: Taking taylor expansion of -1 in ky 2.992 * [taylor]: Taking taylor expansion of kx in ky 2.993 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 2.993 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 2.993 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 2.993 * [taylor]: Taking taylor expansion of -1 in ky 2.993 * [taylor]: Taking taylor expansion of ky in ky 2.995 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 2.995 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 2.996 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 2.996 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 2.996 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 2.996 * [taylor]: Taking taylor expansion of -1 in kx 2.996 * [taylor]: Taking taylor expansion of kx in kx 2.996 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 2.996 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 2.996 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 2.996 * [taylor]: Taking taylor expansion of -1 in kx 2.996 * [taylor]: Taking taylor expansion of ky in kx 2.999 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 2.999 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 2.999 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 2.999 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 2.999 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 2.999 * [taylor]: Taking taylor expansion of -1 in kx 2.999 * [taylor]: Taking taylor expansion of kx in kx 2.999 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 2.999 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 2.999 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 2.999 * [taylor]: Taking taylor expansion of -1 in kx 2.999 * [taylor]: Taking taylor expansion of ky in kx 3.002 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 3.002 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 3.002 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 3.002 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 3.002 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 3.002 * [taylor]: Taking taylor expansion of -1 in ky 3.002 * [taylor]: Taking taylor expansion of kx in ky 3.002 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 3.002 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 3.002 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 3.002 * [taylor]: Taking taylor expansion of -1 in ky 3.002 * [taylor]: Taking taylor expansion of ky in ky 3.005 * [taylor]: Taking taylor expansion of 0 in ky 3.009 * [taylor]: Taking taylor expansion of 0 in ky 3.016 * [taylor]: Taking taylor expansion of 0 in ky 3.017 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2 1 2 1) 3.017 * [approximate]: Taking taylor expansion of (pow (sin kx) 1/3) in (kx) around 0 3.017 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 3.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 3.017 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 3.017 * [taylor]: Taking taylor expansion of 1/3 in kx 3.017 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 3.017 * [taylor]: Taking taylor expansion of (sin kx) in kx 3.017 * [taylor]: Taking taylor expansion of kx in kx 3.018 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 3.018 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 3.018 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 3.018 * [taylor]: Taking taylor expansion of 1/3 in kx 3.018 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 3.018 * [taylor]: Taking taylor expansion of (sin kx) in kx 3.018 * [taylor]: Taking taylor expansion of kx in kx 3.046 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in (kx) around 0 3.046 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 3.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 3.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 3.047 * [taylor]: Taking taylor expansion of 1/3 in kx 3.047 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 3.047 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 3.047 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 3.047 * [taylor]: Taking taylor expansion of kx in kx 3.047 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 3.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 3.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 3.047 * [taylor]: Taking taylor expansion of 1/3 in kx 3.047 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 3.047 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 3.047 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 3.047 * [taylor]: Taking taylor expansion of kx in kx 3.079 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in (kx) around 0 3.079 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 3.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 3.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 3.079 * [taylor]: Taking taylor expansion of 1/3 in kx 3.079 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 3.079 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 3.079 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 3.079 * [taylor]: Taking taylor expansion of -1 in kx 3.079 * [taylor]: Taking taylor expansion of kx in kx 3.079 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 3.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 3.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 3.080 * [taylor]: Taking taylor expansion of 1/3 in kx 3.080 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 3.080 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 3.080 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 3.080 * [taylor]: Taking taylor expansion of -1 in kx 3.080 * [taylor]: Taking taylor expansion of kx in kx 3.111 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 2 1 1 2 1) 3.111 * [approximate]: Taking taylor expansion of (pow (sin kx) 1/3) in (kx) around 0 3.111 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 3.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 3.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 3.111 * [taylor]: Taking taylor expansion of 1/3 in kx 3.111 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 3.111 * [taylor]: Taking taylor expansion of (sin kx) in kx 3.111 * [taylor]: Taking taylor expansion of kx in kx 3.112 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 3.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 3.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 3.112 * [taylor]: Taking taylor expansion of 1/3 in kx 3.112 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 3.112 * [taylor]: Taking taylor expansion of (sin kx) in kx 3.112 * [taylor]: Taking taylor expansion of kx in kx 3.141 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in (kx) around 0 3.141 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 3.142 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 3.142 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 3.142 * [taylor]: Taking taylor expansion of 1/3 in kx 3.142 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 3.142 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 3.142 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 3.142 * [taylor]: Taking taylor expansion of kx in kx 3.142 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 3.142 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 3.142 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 3.142 * [taylor]: Taking taylor expansion of 1/3 in kx 3.142 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 3.142 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 3.142 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 3.142 * [taylor]: Taking taylor expansion of kx in kx 3.174 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in (kx) around 0 3.174 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 3.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 3.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 3.174 * [taylor]: Taking taylor expansion of 1/3 in kx 3.174 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 3.174 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 3.174 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 3.174 * [taylor]: Taking taylor expansion of -1 in kx 3.174 * [taylor]: Taking taylor expansion of kx in kx 3.175 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 3.175 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 3.175 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 3.175 * [taylor]: Taking taylor expansion of 1/3 in kx 3.175 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 3.175 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 3.175 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 3.175 * [taylor]: Taking taylor expansion of -1 in kx 3.175 * [taylor]: Taking taylor expansion of kx in kx 3.206 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2 1 1 1 1) 3.207 * [approximate]: Taking taylor expansion of (pow (sin kx) 1/3) in (kx) around 0 3.207 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 3.207 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 3.207 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 3.207 * [taylor]: Taking taylor expansion of 1/3 in kx 3.207 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 3.207 * [taylor]: Taking taylor expansion of (sin kx) in kx 3.207 * [taylor]: Taking taylor expansion of kx in kx 3.208 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 3.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 3.208 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 3.208 * [taylor]: Taking taylor expansion of 1/3 in kx 3.208 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 3.208 * [taylor]: Taking taylor expansion of (sin kx) in kx 3.208 * [taylor]: Taking taylor expansion of kx in kx 3.237 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in (kx) around 0 3.237 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 3.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 3.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 3.237 * [taylor]: Taking taylor expansion of 1/3 in kx 3.237 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 3.237 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 3.237 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 3.237 * [taylor]: Taking taylor expansion of kx in kx 3.238 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 3.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 3.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 3.238 * [taylor]: Taking taylor expansion of 1/3 in kx 3.238 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 3.238 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 3.238 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 3.238 * [taylor]: Taking taylor expansion of kx in kx 3.269 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in (kx) around 0 3.269 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 3.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 3.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 3.269 * [taylor]: Taking taylor expansion of 1/3 in kx 3.269 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 3.270 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 3.270 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 3.270 * [taylor]: Taking taylor expansion of -1 in kx 3.270 * [taylor]: Taking taylor expansion of kx in kx 3.270 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 3.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 3.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 3.270 * [taylor]: Taking taylor expansion of 1/3 in kx 3.270 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 3.270 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 3.270 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 3.270 * [taylor]: Taking taylor expansion of -1 in kx 3.270 * [taylor]: Taking taylor expansion of kx in kx 3.310 * * * [progress]: simplifying candidates 3.311 * [simplify]: Simplifying using # : (log (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (exp (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (* (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0))))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (* (* (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0))) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (sqrt (* (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0))) (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (sqrt 1) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0))) (sqrt (+ (pow (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) 3) (pow (pow (sin ky) 2.0) 3))) (sqrt (+ (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0))) (- (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0))))) (sqrt (- (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0))) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)))) (sqrt (- (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0))) (/ 1 2) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (cbrt (sin kx)) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (* (* (cbrt (sin kx)) (cbrt (sin kx))) (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (cbrt (sin kx)) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (* (* (cbrt (sin kx)) (cbrt (sin kx))) (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (cbrt (sin kx)) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (* (* (cbrt (sin kx)) (cbrt (sin kx))) (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (- (+ ky (* 1/12 (* (pow kx 2) ky))) (* 1/6 (pow ky 3))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) 3.311 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1)))) (exp (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1)))) (* (cbrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1)))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1))))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1)))) (* (* (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1))) (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1)))) (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1)))) (sqrt (* (cbrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1))) (cbrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1))))) (sqrt (cbrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1)))) (sqrt 1) (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1))) (sqrt (+ (pow (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) 3) (pow (pow (sin h2) h1) 3))) (sqrt (+ (* (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1))) (- (* (pow (sin h2) h1) (pow (sin h2) h1)) (* (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1))))) (sqrt (- (* (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1))) (* (pow (sin h2) h1) (pow (sin h2) h1)))) (sqrt (- (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1))) (/ 1 2) (sqrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin h0)) (cbrt (sin h0))) h1) (pow (* (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0)))) h1)) (pow (sin h2) h1)))) (log (cbrt (sin h0))) (exp (cbrt (sin h0))) (cbrt (* (cbrt (sin h0)) (cbrt (sin h0)))) (cbrt (cbrt (sin h0))) (cbrt (sqrt (sin h0))) (cbrt (sqrt (sin h0))) (cbrt 1) (cbrt (sin h0)) (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0))) (* (* (cbrt (sin h0)) (cbrt (sin h0))) (cbrt (sin h0))) (sqrt (cbrt (sin h0))) (sqrt (cbrt (sin h0))) (log (cbrt (sin h0))) (exp (cbrt (sin h0))) (cbrt (* (cbrt (sin h0)) (cbrt (sin h0)))) (cbrt (cbrt (sin h0))) (cbrt (sqrt (sin h0))) (cbrt (sqrt (sin h0))) (cbrt 1) (cbrt (sin h0)) (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0))) (* (* (cbrt (sin h0)) (cbrt (sin h0))) (cbrt (sin h0))) (sqrt (cbrt (sin h0))) (sqrt (cbrt (sin h0))) (log (cbrt (sin h0))) (exp (cbrt (sin h0))) (cbrt (* (cbrt (sin h0)) (cbrt (sin h0)))) (cbrt (cbrt (sin h0))) (cbrt (sqrt (sin h0))) (cbrt (sqrt (sin h0))) (cbrt 1) (cbrt (sin h0)) (* (cbrt (cbrt (sin h0))) (cbrt (cbrt (sin h0)))) (cbrt (cbrt (sin h0))) (* (* (cbrt (sin h0)) (cbrt (sin h0))) (cbrt (sin h0))) (sqrt (cbrt (sin h0))) (sqrt (cbrt (sin h0))) (- (+ h2 (* 1/12 (* (pow h0 2) h2))) (* 1/6 (pow h2 3))) (sqrt (+ (pow (sin h0) 2) (pow (sin h2) 2))) (sqrt (+ (pow (sin h0) 2) (pow (sin h2) 2))) (- (pow h0 1/3) (+ (* 1/3240 (pow (pow h0 13) 1/3)) (* 1/18 (pow (pow h0 7) 1/3)))) (pow (sin h0) 1/3) (pow (sin h0) 1/3) (- (pow h0 1/3) (+ (* 1/3240 (pow (pow h0 13) 1/3)) (* 1/18 (pow (pow h0 7) 1/3)))) (pow (sin h0) 1/3) (pow (sin h0) 1/3) (- (pow h0 1/3) (+ (* 1/3240 (pow (pow h0 13) 1/3)) (* 1/18 (pow (pow h0 7) 1/3)))) (pow (sin h0) 1/3) (pow (sin h0) 1/3) 3.315 * * [simplify]: iteration 0 : 185 enodes (cost 700 ) 3.318 * * [simplify]: iteration 1 : 497 enodes (cost 663 ) 3.330 * * [simplify]: iteration 2 : 2175 enodes (cost 657 ) 3.383 * * [simplify]: iteration 3 : 5002 enodes (cost 656 ) 3.386 * [simplify]: Simplified to: (log (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (exp (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (* (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0))))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (pow (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0))) 3) (fabs (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (sqrt (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) 1 (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0))) (sqrt (+ (pow (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) 3) (pow (pow (sin ky) 2.0) 3))) (sqrt (+ (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0))) (- (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0))))) (sqrt (- (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0))) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)))) (sqrt (- (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0))) 1/2 (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (* (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx)))) 2.0)) (pow (sin ky) 2.0)))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (pow (sin kx) 1/3) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (sin kx) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (pow (sin kx) 1/3) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (sin kx) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (pow (sin kx) 1/3) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (sin kx) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (- (+ ky (* 1/12 (* (pow kx 2) ky))) (* 1/6 (pow ky 3))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) 3.387 * * * [progress]: adding candidates to table 3.693 * [progress]: [Phase 3 of 3] Extracting. 3.693 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 3.707 * * * [regime-changes]: Trying 8 branch expressions: ((sin th) (sin kx) (pow (sin kx) 2.0) (sin ky) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) th ky kx) 3.707 * * * * [regimes]: Trying to branch on (sin th) from (# # # # # # # # # # # # # # # # #) 3.796 * * * * [regimes]: Trying to branch on (sin kx) from (# # # # # # # # # # # # # # # # #) 3.888 * * * * [regimes]: Trying to branch on (pow (sin kx) 2.0) from (# # # # # # # # # # # # # # # # #) 3.981 * * * * [regimes]: Trying to branch on (pow (sin kx) 2.0) from (# # # # # #) 4.024 * * * * [regimes]: Trying to branch on (sin ky) from (# # # # # # # # # # # # # # # # #) 4.120 * * * * [regimes]: Trying to branch on (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) from (# # # # # # # # # # # # # # # # #) 4.226 * * * * [regimes]: Trying to branch on (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) from (# #) 4.263 * * * * [regimes]: Trying to branch on th from (# # # # # # # # # # # # # # # # #) 4.348 * * * * [regimes]: Trying to branch on ky from (# # # # # # # # # # # # # # # # #) 4.435 * * * * [regimes]: Trying to branch on kx from (# # # # # # # # # # # # # # # # #) 4.525 * * * [regime]: Found split indices: #