0.842 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 1.138 * * * [progress]: [2/2] Setting up program. 1.142 * [progress]: [Phase 2 of 3] Improving. 1.145 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.150 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 1.152 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 1.153 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 1.155 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 1.157 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 1.164 * * [simplify]: iteration 5 : 1268 enodes (cost 6 ) 1.191 * * [simplify]: iteration 6 : 5001 enodes (cost 6 ) 1.192 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.194 * * [progress]: iteration 1 / 4 1.194 * * * [progress]: picking best candidate 1.197 * * * * [pick]: Picked # 1.197 * * * [progress]: localizing error 1.215 * * * [progress]: generating rewritten candidates 1.215 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.217 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.219 * * * [progress]: generating series expansions 1.219 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.223 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.224 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.226 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.227 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.227 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.227 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.228 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.228 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.228 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.228 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.229 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.229 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.229 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.229 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.229 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.230 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.230 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.230 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.231 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.231 * * * [progress]: simplifying candidates 1.232 * [simplify]: Simplifying using # : (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1.234 * * [simplify]: iteration 0 : 27 enodes (cost 34 ) 1.236 * * [simplify]: iteration 1 : 42 enodes (cost 34 ) 1.237 * * [simplify]: iteration 2 : 121 enodes (cost 34 ) 1.240 * * [simplify]: iteration 3 : 357 enodes (cost 34 ) 1.250 * * [simplify]: iteration 4 : 1821 enodes (cost 34 ) 1.307 * * [simplify]: iteration 5 : 5001 enodes (cost 34 ) 1.308 * [simplify]: Simplified to: (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1.308 * * * [progress]: adding candidates to table 1.317 * * [progress]: iteration 2 / 4 1.317 * * * [progress]: picking best candidate 1.321 * * * * [pick]: Picked # 1.321 * * * [progress]: localizing error 1.332 * * * [progress]: generating rewritten candidates 1.332 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 1.333 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.336 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.338 * * * [progress]: generating series expansions 1.338 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 1.338 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.338 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.338 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.338 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.338 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.338 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.339 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.339 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.339 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.340 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.341 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in (a) around 0 1.341 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.341 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.341 * [taylor]: Taking taylor expansion of 1/2 in a 1.341 * [taylor]: Taking taylor expansion of PI in a 1.341 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.341 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) in a 1.341 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.341 * [taylor]: Taking taylor expansion of 1/2 in a 1.341 * [taylor]: Taking taylor expansion of PI in a 1.341 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.351 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in (a) around 0 1.351 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.351 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.351 * [taylor]: Taking taylor expansion of 1/2 in a 1.351 * [taylor]: Taking taylor expansion of PI in a 1.351 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.351 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))))) in a 1.351 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.351 * [taylor]: Taking taylor expansion of 1/2 in a 1.351 * [taylor]: Taking taylor expansion of PI in a 1.351 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.361 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in (a) around 0 1.361 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.361 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.361 * [taylor]: Taking taylor expansion of 1/2 in a 1.361 * [taylor]: Taking taylor expansion of PI in a 1.361 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.361 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))))) in a 1.361 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 1.361 * [taylor]: Taking taylor expansion of 1/2 in a 1.361 * [taylor]: Taking taylor expansion of PI in a 1.361 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.370 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.370 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.370 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.370 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.371 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.371 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.371 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.372 * [approximate]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.372 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.372 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.373 * * * [progress]: simplifying candidates 1.373 * [simplify]: Simplifying using # : (- (pow (/ PI 2) 3) (pow (asin (pow (fmod (cosh a) (* a a)) (log1p a))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))))) (- (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (* (/ PI 2) (/ PI 2)) (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))) (+ (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (/ PI 2) (/ PI 2)) (- (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (/ PI 2) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (* 1/2 PI) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1.382 * * [simplify]: iteration 0 : 76 enodes (cost 126 ) 1.384 * * [simplify]: iteration 1 : 161 enodes (cost 126 ) 1.386 * * [simplify]: iteration 2 : 382 enodes (cost 126 ) 1.393 * * [simplify]: iteration 3 : 1333 enodes (cost 126 ) 1.445 * * [simplify]: iteration 4 : 5001 enodes (cost 126 ) 1.447 * [simplify]: Simplified to: (- (pow (/ PI 2) 3) (pow (asin (pow (fmod (cosh a) (* a a)) (log1p a))) 3)) (+ (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (+ (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (- (* (/ PI 2) (/ PI 2)) (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))) (+ (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) 0 (- (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (* 1/2 PI) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 1.447 * * * [progress]: adding candidates to table 1.469 * * [progress]: iteration 3 / 4 1.469 * * * [progress]: picking best candidate 1.480 * * * * [pick]: Picked # 1.480 * * * [progress]: localizing error 1.502 * * * [progress]: generating rewritten candidates 1.502 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.503 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.504 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) 1.505 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.507 * * * [progress]: generating series expansions 1.507 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 1.507 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.507 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.507 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.508 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.508 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.508 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.508 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.508 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.508 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.509 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.509 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.509 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.509 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.509 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.509 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.510 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.510 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.510 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.510 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.511 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1) 1.511 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.511 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.511 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.511 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.511 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.511 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.512 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.512 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.512 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.512 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.512 * * * [progress]: simplifying candidates 1.513 * [simplify]: Simplifying using # : (* (log (/ PI 2)) 3) (pow PI 3) (pow (/ 1 2) 3) (* (/ PI 2) (/ PI 2)) (pow (/ PI 2) (/ 3 2)) (pow (/ PI 2) (/ 3 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (/ (- (pow (/ PI 2) 3) (pow (asin (pow (fmod (cosh a) (* a a)) (log1p a))) 3)) (+ (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (+ (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))) 1.515 * * [simplify]: iteration 0 : 79 enodes (cost 68 ) 1.517 * * [simplify]: iteration 1 : 172 enodes (cost 68 ) 1.521 * * [simplify]: iteration 2 : 533 enodes (cost 67 ) 1.531 * * [simplify]: iteration 3 : 1865 enodes (cost 67 ) 1.581 * * [simplify]: iteration 4 : 5001 enodes (cost 67 ) 1.582 * [simplify]: Simplified to: (* (log (/ PI 2)) 3) (pow PI 3) 1/8 (/ (* PI PI) 4) (pow (/ PI 2) 3/2) (pow (/ PI 2) 3/2) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (/ (- (pow (/ PI 2) 3) (pow (asin (pow (fmod (cosh a) (* a a)) (log1p a))) 3)) (+ (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (+ (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))) 1.582 * * * [progress]: adding candidates to table 1.605 * * [progress]: iteration 4 / 4 1.605 * * * [progress]: picking best candidate 1.611 * * * * [pick]: Picked # 1.611 * * * [progress]: localizing error 1.628 * * * [progress]: generating rewritten candidates 1.628 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 1.629 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1) 1.630 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) 1.630 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.640 * * * [progress]: generating series expansions 1.640 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 1.640 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.640 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.640 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.641 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.641 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.641 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.641 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.641 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.641 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.642 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1) 1.642 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.642 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.642 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.642 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.642 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.642 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.643 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.643 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.643 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.644 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1) 1.644 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.644 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.644 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.644 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.644 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.644 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.645 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.645 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.645 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.645 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.647 * [approximate]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) in (a) around 0 1.647 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) in a 1.647 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in a 1.647 * [taylor]: Taking taylor expansion of 1/4 in a 1.647 * [taylor]: Taking taylor expansion of (pow PI 2) in a 1.647 * [taylor]: Taking taylor expansion of PI in a 1.647 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2) in a 1.647 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.647 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) in a 1.647 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in a 1.647 * [taylor]: Taking taylor expansion of 1/4 in a 1.647 * [taylor]: Taking taylor expansion of (pow PI 2) in a 1.647 * [taylor]: Taking taylor expansion of PI in a 1.647 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2) in a 1.647 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.672 * [approximate]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2)) in (a) around 0 1.672 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2)) in a 1.672 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in a 1.672 * [taylor]: Taking taylor expansion of 1/4 in a 1.672 * [taylor]: Taking taylor expansion of (pow PI 2) in a 1.673 * [taylor]: Taking taylor expansion of PI in a 1.673 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2) in a 1.673 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.673 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2)) in a 1.673 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in a 1.673 * [taylor]: Taking taylor expansion of 1/4 in a 1.673 * [taylor]: Taking taylor expansion of (pow PI 2) in a 1.673 * [taylor]: Taking taylor expansion of PI in a 1.673 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) 2) in a 1.673 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.696 * [approximate]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2)) in (a) around 0 1.697 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2)) in a 1.697 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in a 1.697 * [taylor]: Taking taylor expansion of 1/4 in a 1.697 * [taylor]: Taking taylor expansion of (pow PI 2) in a 1.697 * [taylor]: Taking taylor expansion of PI in a 1.697 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2) in a 1.697 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.697 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2)) in a 1.697 * [taylor]: Taking taylor expansion of (* 1/4 (pow PI 2)) in a 1.697 * [taylor]: Taking taylor expansion of 1/4 in a 1.697 * [taylor]: Taking taylor expansion of (pow PI 2) in a 1.697 * [taylor]: Taking taylor expansion of PI in a 1.697 * [taylor]: Taking taylor expansion of (pow (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) 2) in a 1.697 * [taylor]: Taking taylor expansion of (asin (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.719 * * * [progress]: simplifying candidates 1.720 * [simplify]: Simplifying using # : (- (pow (* (/ PI 2) (/ PI 2)) 3) (pow (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) 3)) (+ (* (* (/ PI 2) (/ PI 2)) (* (/ PI 2) (/ PI 2))) (+ (* (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))) (* (* (/ PI 2) (/ PI 2)) (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))))) (- (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))) (- (* (* (/ PI 2) (/ PI 2)) (* (/ PI 2) (/ PI 2))) (* (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))))) (+ (* (/ PI 2) (/ PI 2)) (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))) (+ (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (+ (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (+ (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (+ (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) 1.726 * * [simplify]: iteration 0 : 100 enodes (cost 247 ) 1.730 * * [simplify]: iteration 1 : 327 enodes (cost 214 ) 1.739 * * [simplify]: iteration 2 : 1038 enodes (cost 209 ) 1.762 * * [simplify]: iteration 3 : 4756 enodes (cost 208 ) 1.915 * * [simplify]: iteration 4 : 5001 enodes (cost 208 ) 1.917 * [simplify]: Simplified to: (- (pow (* (/ PI 2) (/ PI 2)) 3) (pow (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) 3)) (+ (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 4) (* (/ PI 2) (+ (pow (/ PI 2) 3) (/ (* PI (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) 2)))) (- (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) (+ (* (- (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3)) (asin (pow (fmod (cosh a) (pow a 2)) (log1p a)))) (/ (* (pow (/ PI 2) 3) PI) 2)) (+ (/ (pow PI 2) 4) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) (+ (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (+ (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (+ (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (+ (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))) (- (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) (- (* 1/4 (pow PI 2)) (pow (asin (pow (fmod (cosh a) (pow a 2)) (log1p a))) 2)) 1.917 * * * [progress]: adding candidates to table 1.967 * [progress]: [Phase 3 of 3] Extracting. 1.967 * * [regime]: Finding splitpoints for: (# # # # #) 1.971 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 1.971 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # #) 2.015 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # #) 2.041 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # #) 2.087 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# #) 2.112 * * * * [regimes]: Trying to branch on a from (# # # # #) 2.145 * * * [regime]: Found split indices: #