0.815 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 1.017 * * * [progress]: [2/2] Setting up program. 1.022 * [progress]: [Phase 2 of 3] Improving. 1.024 * [simplify]: Simplifying using # : (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.027 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 1.029 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 1.030 * * [simplify]: iteration 2 : 43 enodes (cost 6 ) 1.031 * * [simplify]: iteration 3 : 91 enodes (cost 6 ) 1.034 * * [simplify]: iteration 4 : 257 enodes (cost 6 ) 1.040 * * [simplify]: iteration 5 : 1277 enodes (cost 6 ) 1.066 * * [simplify]: iteration 6 : 5001 enodes (cost 6 ) 1.067 * [simplify]: Simplified to: (acos (pow (fmod (cosh a) (* a a)) (log1p a))) 1.069 * * [progress]: iteration 1 / 4 1.069 * * * [progress]: picking best candidate 1.072 * * * * [pick]: Picked # 1.072 * * * [progress]: localizing error 1.084 * * * [progress]: generating rewritten candidates 1.084 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.085 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.086 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.088 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.090 * * * [progress]: generating series expansions 1.091 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.094 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 1.095 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.096 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.097 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 1.097 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.097 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.098 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 1.098 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.099 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.099 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.099 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.099 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.099 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.100 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.100 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.100 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.101 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.101 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.101 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.102 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.102 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 1.102 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.102 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.102 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.102 * [taylor]: Taking taylor expansion of (log1p a) in a 1.102 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.102 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.103 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.103 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.103 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.103 * [taylor]: Taking taylor expansion of (log1p a) in a 1.103 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.103 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.145 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 1.145 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.145 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.145 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.145 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.145 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.145 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.145 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.145 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.145 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.145 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.145 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.145 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.180 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 1.180 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.180 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.180 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.180 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.180 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.180 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.180 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.180 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.180 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.180 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.180 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.180 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.217 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.218 * [approximate]: Taking taylor expansion of (cosh a) in (a) around 0 1.218 * [taylor]: Taking taylor expansion of (cosh a) in a 1.218 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.218 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.218 * [taylor]: Taking taylor expansion of (exp a) in a 1.218 * [taylor]: Taking taylor expansion of a in a 1.218 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.218 * [taylor]: Taking taylor expansion of (- a) in a 1.218 * [taylor]: Taking taylor expansion of a in a 1.219 * [taylor]: Taking taylor expansion of 2 in a 1.219 * [taylor]: Taking taylor expansion of (cosh a) in a 1.220 * [taylor]: Rewrote expression to (/ (+ (exp a) (exp (- a))) 2) 1.220 * [taylor]: Taking taylor expansion of (+ (exp a) (exp (- a))) in a 1.220 * [taylor]: Taking taylor expansion of (exp a) in a 1.220 * [taylor]: Taking taylor expansion of a in a 1.220 * [taylor]: Taking taylor expansion of (exp (- a)) in a 1.220 * [taylor]: Taking taylor expansion of (- a) in a 1.220 * [taylor]: Taking taylor expansion of a in a 1.220 * [taylor]: Taking taylor expansion of 2 in a 1.238 * [approximate]: Taking taylor expansion of (cosh (/ 1 a)) in (a) around 0 1.238 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.238 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.238 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.238 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.238 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.238 * [taylor]: Taking taylor expansion of a in a 1.238 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.238 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.239 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.239 * [taylor]: Taking taylor expansion of a in a 1.239 * [taylor]: Taking taylor expansion of 2 in a 1.239 * [taylor]: Taking taylor expansion of (cosh (/ 1 a)) in a 1.239 * [taylor]: Rewrote expression to (/ (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) 2) 1.239 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (- (/ 1 a)))) in a 1.239 * [taylor]: Taking taylor expansion of (exp (/ 1 a)) in a 1.240 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.240 * [taylor]: Taking taylor expansion of a in a 1.240 * [taylor]: Taking taylor expansion of (exp (- (/ 1 a))) in a 1.240 * [taylor]: Taking taylor expansion of (- (/ 1 a)) in a 1.240 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.240 * [taylor]: Taking taylor expansion of a in a 1.240 * [taylor]: Taking taylor expansion of 2 in a 1.250 * [approximate]: Taking taylor expansion of (cosh (/ -1 a)) in (a) around 0 1.250 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.250 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.250 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.250 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.250 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.250 * [taylor]: Taking taylor expansion of -1 in a 1.250 * [taylor]: Taking taylor expansion of a in a 1.251 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.251 * [taylor]: Taking taylor expansion of (- (/ -1 a)) in a 1.251 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.251 * [taylor]: Taking taylor expansion of -1 in a 1.251 * [taylor]: Taking taylor expansion of a in a 1.252 * [taylor]: Taking taylor expansion of 2 in a 1.252 * [taylor]: Taking taylor expansion of (cosh (/ -1 a)) in a 1.252 * [taylor]: Rewrote expression to (/ (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) 2) 1.252 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 a)) (exp (- (/ -1 a)))) in a 1.252 * [taylor]: Taking taylor expansion of (exp (/ -1 a)) in a 1.252 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.252 * [taylor]: Taking taylor expansion of -1 in a 1.252 * [taylor]: Taking taylor expansion of a in a 1.252 * [taylor]: Taking taylor expansion of (exp (- (/ -1 a))) in a 1.252 * [taylor]: Taking taylor expansion of (- (/ -1 a)) in a 1.252 * [taylor]: Taking taylor expansion of (/ -1 a) in a 1.252 * [taylor]: Taking taylor expansion of -1 in a 1.252 * [taylor]: Taking taylor expansion of a in a 1.253 * [taylor]: Taking taylor expansion of 2 in a 1.263 * * * [progress]: simplifying candidates 1.264 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (* (acos (pow (fmod (cosh a) (* a a)) (log1p a))) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (log (fmod (cosh a) (* a a))) (log1p a)) (* (log (fmod (cosh a) (* a a))) (log1p a)) (* 1 (log1p a)) (pow (fmod (cosh a) (* a a)) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (fmod (cosh a) (* a a)) (sqrt (log1p a))) (pow (fmod (cosh a) (* a a)) 1) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow 1 (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (exp (pow (fmod (cosh a) (* a a)) (log1p a))) (* (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (* (* (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (+ (exp a) (exp (- a))) (log (cosh a)) (exp (cosh a)) (* (cbrt (cosh a)) (cbrt (cosh a))) (cbrt (cosh a)) (* (* (cosh a) (cosh a)) (cosh a)) (sqrt (cosh a)) (sqrt (cosh 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))) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1)) (* 1/2 (+ (exp (- a)) (exp a))) (* 1/2 (+ (exp (* -1 a)) (exp a))) 1.267 * * [simplify]: iteration 0 : 140 enodes (cost 331 ) 1.270 * * [simplify]: iteration 1 : 420 enodes (cost 302 ) 1.278 * * [simplify]: iteration 2 : 1559 enodes (cost 292 ) 1.315 * * [simplify]: iteration 3 : 5002 enodes (cost 292 ) 1.317 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (pow (fmod (cosh a) (* a a)) 1/2) (pow (fmod (cosh a) (* a a)) 1/2) (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (* (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a))))) (cbrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (sqrt (acos (pow (fmod (cosh a) (* a a)) (log1p a)))) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (log1p a) (pow (fmod (cosh a) (* a a)) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (fmod (cosh a) (* a a)) (sqrt (log1p a))) (fmod (cosh a) (* a a)) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) 1 (pow (fmod (cosh a) (pow a 2)) (log1p a)) (log (pow (fmod (cosh a) (* a a)) (log1p a))) (exp (pow (fmod (cosh a) (* a a)) (log1p a))) (* (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a)))) (cbrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (pow (fmod (cosh a) (pow a 2)) (log1p a)) 3) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (sqrt (pow (fmod (cosh a) (* a a)) (log1p a))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (* 2 (cosh a)) (log (cosh a)) (exp (cosh a)) (* (cbrt (cosh a)) (cbrt (cosh a))) (cbrt (cosh a)) (pow (cosh a) 3) (sqrt (cosh a)) (sqrt (cosh a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (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))) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1)) (cosh a) (cosh a) 1.318 * * * [progress]: adding candidates to table 1.468 * * [progress]: iteration 2 / 4 1.468 * * * [progress]: picking best candidate 1.489 * * * * [pick]: Picked # 1.489 * * * [progress]: localizing error 1.502 * * * [progress]: generating rewritten candidates 1.502 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 1.502 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.503 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.503 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.507 * * * [progress]: generating series expansions 1.507 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 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 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) 1.511 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in (a) around 0 1.511 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.511 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) in a 1.512 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in (a) around 0 1.512 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.512 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a)))) in a 1.513 * [approximate]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in (a) around 0 1.513 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.513 * [taylor]: Taking taylor expansion of (acos (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a)))) in a 1.514 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.514 * [approximate]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in (a) around 0 1.514 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.514 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.514 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.514 * [taylor]: Taking taylor expansion of (log1p a) in a 1.514 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.514 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.514 * [taylor]: Taking taylor expansion of (pow (fmod (cosh a) (pow a 2)) (log1p a)) in a 1.514 * [taylor]: Taking taylor expansion of (exp (* (log1p a) (log (fmod (cosh a) (pow a 2))))) in a 1.514 * [taylor]: Taking taylor expansion of (* (log1p a) (log (fmod (cosh a) (pow a 2)))) in a 1.514 * [taylor]: Taking taylor expansion of (log1p a) in a 1.514 * [taylor]: Taking taylor expansion of (log (fmod (cosh a) (pow a 2))) in a 1.514 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 1.551 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in (a) around 0 1.551 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.551 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.551 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.551 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.552 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.552 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.552 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) (log1p (/ 1 a))) in a 1.552 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))))) in a 1.552 * [taylor]: Taking taylor expansion of (* (log1p (/ 1 a)) (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))))) in a 1.552 * [taylor]: Taking taylor expansion of (log1p (/ 1 a)) in a 1.552 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ 1 a)) (/ 1 (pow a 2)))) in a 1.552 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 1.586 * [approximate]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in (a) around 0 1.587 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.587 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.587 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.587 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.587 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.587 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.587 * [taylor]: Taking taylor expansion of (pow (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) (log1p (/ -1 a))) in a 1.587 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))))) in a 1.587 * [taylor]: Taking taylor expansion of (* (log1p (/ -1 a)) (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))))) in a 1.587 * [taylor]: Taking taylor expansion of (log1p (/ -1 a)) in a 1.587 * [taylor]: Taking taylor expansion of (log (fmod (cosh (/ -1 a)) (/ 1 (pow a 2)))) in a 1.587 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 1.621 * * * [progress]: simplifying candidates 1.622 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log 1) (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (exp (fmod (cosh a) (* a a))))) (exp (log (exp (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (cbrt (log (exp (fmod (cosh a) (* a a))))) (* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (* (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (log (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (* (log (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (* 1 (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (pow (log (exp (fmod (cosh a) (* a a)))) 1) (pow 1 (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (sqrt (fmod (cosh a) (* a a))))) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (log (exp 1)) (log1p a)) (pow (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (log1p a)) (pow (cbrt (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (pow (sqrt (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (pow (sqrt (log (exp (fmod (cosh a) (* a a))))) (log1p a)) (pow 1 (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)) (log (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (* (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (sqrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (sqrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (pow (log (exp (fmod (cosh a) (* a a)))) (/ (log1p a) 2)) (pow (log (exp (fmod (cosh a) (* a a)))) (/ (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)) (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))) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) (pow (fmod (cosh a) (pow a 2)) (log1p a)) 1.626 * * [simplify]: iteration 0 : 135 enodes (cost 479 ) 1.628 * * [simplify]: iteration 1 : 312 enodes (cost 424 ) 1.632 * * [simplify]: iteration 2 : 956 enodes (cost 424 ) 1.655 * * [simplify]: iteration 3 : 4680 enodes (cost 420 ) 1.810 * * [simplify]: iteration 4 : 5001 enodes (cost 420 ) 1.812 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (* 2 (log (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) 0 (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (pow (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))) 3) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (* (log1p a) (log (fmod (cosh a) (* a a)))) (* (log1p a) (log (fmod (cosh a) (* a a)))) (log1p a) (pow (log (exp (fmod (cosh a) (* a a)))) (* (cbrt (log1p a)) (cbrt (log1p a)))) (pow (log (exp (fmod (cosh a) (* a a)))) (sqrt (log1p a))) (fmod (cosh a) (* a a)) 1 (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) 1 (pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a)) (pow (cbrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) 1 (pow (fmod (cosh a) (* a a)) (log1p a)) (* (log1p a) (log (fmod (cosh a) (* a a)))) (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (* (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))) (cbrt (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))) (pow (pow (fmod (cosh a) (* a a)) (log1p a)) 3) (fabs (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2))) (fabs (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2))) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 2)) (pow (fmod (cosh a) (* a a)) (/ (log1p a) 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)) (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))) (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) (pow (fmod (cosh a) (* a a)) (log1p a)) 1.812 * * * [progress]: adding candidates to table 1.993 * * [progress]: iteration 3 / 4 1.994 * * * [progress]: picking best candidate 2.023 * * * * [pick]: Picked # 2.023 * * * [progress]: localizing error 2.041 * * * [progress]: generating rewritten candidates 2.041 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1 1) 2.041 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 2.042 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 2.042 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 2.044 * * * [progress]: generating series expansions 2.044 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1 1) 2.044 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.044 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.044 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.044 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.044 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.044 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.045 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.045 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.045 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.045 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1 1 1) 2.046 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.046 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.046 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.046 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.046 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.046 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.047 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.047 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.047 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.047 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1 1) 2.047 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.047 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.047 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.048 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.048 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.048 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.048 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.048 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.048 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.049 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 2.049 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.049 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.049 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.050 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.050 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.050 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.050 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.050 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.050 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.051 * * * [progress]: simplifying candidates 2.051 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log 1) (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a)))) (log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (log (exp (sqrt (fmod (cosh a) (* a a))))) (log (exp 1)) (log (log (exp (fmod (cosh a) (* a a))))) (exp (log (exp (fmod (cosh a) (* a a))))) (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (cbrt (log (exp (fmod (cosh a) (* a a))))) (* (* (log (exp (fmod (cosh a) (* a a)))) (log (exp (fmod (cosh a) (* a a))))) (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a a))))) (sqrt (log (exp (fmod (cosh a) (* a 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)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) 2.054 * * [simplify]: iteration 0 : 52 enodes (cost 246 ) 2.055 * * [simplify]: iteration 1 : 75 enodes (cost 212 ) 2.057 * * [simplify]: iteration 2 : 157 enodes (cost 212 ) 2.060 * * [simplify]: iteration 3 : 405 enodes (cost 212 ) 2.071 * * [simplify]: iteration 4 : 1946 enodes (cost 212 ) 2.128 * * [simplify]: iteration 5 : 5003 enodes (cost 212 ) 2.130 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (* 2 (log (cbrt (exp (fmod (cosh a) (* a a)))))) (log (cbrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) (log (sqrt (exp (fmod (cosh a) (* a a))))) 0 (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (sqrt (fmod (cosh a) (* a a))) 1 (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (* a a)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (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)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a)) 2.130 * * * [progress]: adding candidates to table 2.349 * * [progress]: iteration 4 / 4 2.349 * * * [progress]: picking best candidate 2.378 * * * * [pick]: Picked # 2.379 * * * [progress]: localizing error 2.404 * * * [progress]: generating rewritten candidates 2.404 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 2 1 1 1) 2.404 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1 1 1 1) 2.405 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 2.405 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 2.405 * * * [progress]: generating series expansions 2.405 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 2 1 1 1) 2.406 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.406 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.406 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.406 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.406 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.406 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.407 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.407 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.407 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.407 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1 1 1 1) 2.407 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.407 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.408 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.408 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.408 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.408 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.408 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.409 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.409 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.409 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1 1) 2.409 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.409 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.409 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.410 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.410 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.410 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.410 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.410 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.410 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.411 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 1) 2.411 * [approximate]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in (a) around 0 2.411 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.411 * [taylor]: Taking taylor expansion of (fmod (cosh a) (pow a 2)) in a 2.411 * [approximate]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in (a) around 0 2.411 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.411 * [taylor]: Taking taylor expansion of (fmod (cosh (/ 1 a)) (/ 1 (pow a 2))) in a 2.412 * [approximate]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in (a) around 0 2.412 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.412 * [taylor]: Taking taylor expansion of (fmod (cosh (/ -1 a)) (/ 1 (pow a 2))) in a 2.412 * * * [progress]: simplifying candidates 2.413 * [simplify]: Simplifying using # : (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (* (* (fmod (cosh a) (* a a)) (fmod (cosh a) (* a a))) (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a 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)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) 2.419 * * [simplify]: iteration 0 : 23 enodes (cost 196 ) 2.421 * * [simplify]: iteration 1 : 40 enodes (cost 168 ) 2.422 * * [simplify]: iteration 2 : 92 enodes (cost 168 ) 2.424 * * [simplify]: iteration 3 : 228 enodes (cost 168 ) 2.431 * * [simplify]: iteration 4 : 1044 enodes (cost 168 ) 2.473 * * [simplify]: iteration 5 : 5001 enodes (cost 168 ) 2.474 * [simplify]: Simplified to: (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))) (log (fmod (cosh a) (* a a))) (exp (fmod (cosh a) (* a a))) (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (cbrt (fmod (cosh a) (* a a))) (pow (fmod (cosh a) (pow a 2)) 3) (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a 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)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) (fmod (cosh a) (pow a 2)) 2.474 * * * [progress]: adding candidates to table 2.741 * [progress]: [Phase 3 of 3] Extracting. 2.741 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.745 * * * [regime-changes]: Trying 3 branch expressions: ((pow (fmod (cosh a) (* a a)) (log1p a)) (acos (pow (fmod (cosh a) (* a a)) (log1p a))) a) 2.745 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # # # # # #) 2.798 * * * * [regimes]: Trying to branch on (pow (fmod (cosh a) (* a a)) (log1p a)) from (# # # #) 2.829 * * * * [regimes]: Trying to branch on (acos (pow (fmod (cosh a) (* a a)) (log1p a))) from (# # # # # # # #) 2.883 * * * * [regimes]: Trying to branch on a from (# # # # # # # #) 2.924 * * * [regime]: Found split indices: #