10.399 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.092 * * * [progress]: [2/2] Setting up program. 0.094 * [progress]: [Phase 2 of 3] Improving. 0.095 * [simplify]: Simplifying using # : (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.097 * * [simplify]: iteration 0 : 20 enodes (cost 7 ) 0.099 * * [simplify]: iteration 1 : 43 enodes (cost 7 ) 0.100 * * [simplify]: iteration 2 : 84 enodes (cost 7 ) 0.102 * * [simplify]: iteration 3 : 155 enodes (cost 7 ) 0.105 * * [simplify]: iteration 4 : 262 enodes (cost 7 ) 0.109 * * [simplify]: iteration 5 : 454 enodes (cost 7 ) 0.119 * * [simplify]: iteration 6 : 2878 enodes (cost 7 ) 0.196 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.197 * [simplify]: Simplified to: (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.197 * * [progress]: iteration 1 / 4 0.197 * * * [progress]: picking best candidate 0.199 * * * * [pick]: Picked # 0.199 * * * [progress]: localizing error 0.206 * * * [progress]: generating rewritten candidates 0.206 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.207 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 0.213 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.223 * * * [progress]: generating series expansions 0.223 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.223 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.223 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.223 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.224 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.224 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.224 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.225 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.225 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.225 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.226 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 0.226 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.226 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.226 * [taylor]: Taking taylor expansion of 5.0 in v 0.226 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.226 * [taylor]: Taking taylor expansion of v in v 0.226 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.226 * [taylor]: Taking taylor expansion of 5.0 in v 0.226 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.226 * [taylor]: Taking taylor expansion of v in v 0.240 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.240 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.240 * [taylor]: Taking taylor expansion of 5.0 in v 0.240 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.240 * [taylor]: Taking taylor expansion of v in v 0.241 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.241 * [taylor]: Taking taylor expansion of 5.0 in v 0.241 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.241 * [taylor]: Taking taylor expansion of v in v 0.248 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.248 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.248 * [taylor]: Taking taylor expansion of 5.0 in v 0.248 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.248 * [taylor]: Taking taylor expansion of v in v 0.249 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.249 * [taylor]: Taking taylor expansion of 5.0 in v 0.249 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.249 * [taylor]: Taking taylor expansion of v in v 0.256 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.257 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 0.257 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.257 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.257 * [taylor]: Taking taylor expansion of 1.0 in v 0.257 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.257 * [taylor]: Taking taylor expansion of 5.0 in v 0.257 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.257 * [taylor]: Taking taylor expansion of v in v 0.257 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.257 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.257 * [taylor]: Taking taylor expansion of v in v 0.257 * [taylor]: Taking taylor expansion of 1.0 in v 0.258 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.258 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.258 * [taylor]: Taking taylor expansion of 1.0 in v 0.258 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.258 * [taylor]: Taking taylor expansion of 5.0 in v 0.258 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.259 * [taylor]: Taking taylor expansion of v in v 0.259 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.259 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.259 * [taylor]: Taking taylor expansion of v in v 0.259 * [taylor]: Taking taylor expansion of 1.0 in v 0.276 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.276 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.276 * [taylor]: Taking taylor expansion of 1.0 in v 0.276 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.276 * [taylor]: Taking taylor expansion of 5.0 in v 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.276 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.276 * [taylor]: Taking taylor expansion of v in v 0.277 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.277 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.277 * [taylor]: Taking taylor expansion of v in v 0.277 * [taylor]: Taking taylor expansion of 1.0 in v 0.279 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.279 * [taylor]: Taking taylor expansion of 1.0 in v 0.279 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.279 * [taylor]: Taking taylor expansion of 5.0 in v 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.279 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.279 * [taylor]: Taking taylor expansion of v in v 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.280 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.280 * [taylor]: Taking taylor expansion of v in v 0.280 * [taylor]: Taking taylor expansion of 1.0 in v 0.305 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.305 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.305 * [taylor]: Taking taylor expansion of 1.0 in v 0.305 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.305 * [taylor]: Taking taylor expansion of 5.0 in v 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.305 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.305 * [taylor]: Taking taylor expansion of v in v 0.306 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.306 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.306 * [taylor]: Taking taylor expansion of v in v 0.306 * [taylor]: Taking taylor expansion of 1.0 in v 0.308 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.308 * [taylor]: Taking taylor expansion of 1.0 in v 0.308 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.308 * [taylor]: Taking taylor expansion of 5.0 in v 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.308 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.308 * [taylor]: Taking taylor expansion of v in v 0.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.309 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.309 * [taylor]: Taking taylor expansion of v in v 0.309 * [taylor]: Taking taylor expansion of 1.0 in v 0.341 * * * [progress]: simplifying candidates 0.342 * [simplify]: Simplifying using # : (expm1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (expm1 (* 5.0 (* v v))) (log1p (* 5.0 (* v v))) (* 5.0 (* v v)) (* 5.0 (* v v)) (+ (log 5.0) (+ (log v) (log v))) (+ (log 5.0) (log (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) v) (* (* v v) v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log1p (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (- (log (- 1.0 (* 5.0 (* v v)))) (log (- (* v v) 1.0))) (log (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ (* (* (- 1.0 (* 5.0 (* v v))) (- 1.0 (* 5.0 (* v v)))) (- 1.0 (* 5.0 (* v v)))) (* (* (- (* v v) 1.0) (- (* v v) 1.0)) (- (* v v) 1.0))) (* (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (* (* (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (- (- 1.0 (* 5.0 (* v v)))) (- (- (* v v) 1.0)) (/ 1.0 (- (* v v) 1.0)) (/ (* 5.0 (* v v)) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (- (* v v) 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) 1) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (+ v (sqrt 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) 1) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (+ v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ 1 (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (cbrt (- (* v v) 1.0))) (/ 1 (sqrt (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) (/ 1 1) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0))) (/ 1 (- (* v v) 1.0)) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) 1) (/ (- 1.0 (* 5.0 (* v v))) (+ v (sqrt 1.0))) (/ (- (* v v) 1.0) (cbrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (* (- (* v v) 1.0) (+ (* 1.0 1.0) (+ (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 1.0 (* 5.0 (* v v)))))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (- (+ (* 4.0 (pow v 2)) (* 4.0 (pow v 4))) 1.0) (- (+ (* 4.0 (/ 1 (pow v 2))) (+ (* 4.0 (/ 1 (pow v 4))) 5.0))) (- (+ (* 4.0 (/ 1 (pow v 2))) (+ (* 4.0 (/ 1 (pow v 4))) 5.0))) 0.348 * * [simplify]: iteration 0 : 349 enodes (cost 623 ) 0.354 * * [simplify]: iteration 1 : 1288 enodes (cost 567 ) 0.378 * * [simplify]: iteration 2 : 5001 enodes (cost 565 ) 0.382 * [simplify]: Simplified to: (expm1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (expm1 (* 5.0 (* v v))) (log1p (* 5.0 (* v v))) (* 5.0 (* v v)) (* 5.0 (* v v)) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (pow 5.0 3) (pow v 6)) (* (pow 5.0 3) (pow v 6)) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (pow 5.0 3) (pow v 6)) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (expm1 (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log1p (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (exp (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3) (* (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (sqrt (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (- (- 1.0 (* 5.0 (* v v)))) (- (- (* v v) 1.0)) (/ 1.0 (- (pow v 2) 1.0)) (/ (* 5.0 (* v v)) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (- (* v v) 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (+ v (sqrt 1.0))) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- (* v v) 1.0))) (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (+ v (sqrt 1.0))) (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- v (sqrt 1.0))) (/ 1 (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (cbrt (- (* v v) 1.0))) (/ 1 (sqrt (- (* v v) 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) 1 (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) (/ 1 (+ v (sqrt 1.0))) (/ (- 1.0 (* 5.0 (* v v))) (- v (sqrt 1.0))) (/ 1 (- (* v v) 1.0)) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (* (cbrt (- (* v v) 1.0)) (cbrt (- (* v v) 1.0)))) (/ (- 1.0 (* 5.0 (* v v))) (sqrt (- (* v v) 1.0))) (- 1.0 (* 5.0 (* v v))) (/ (- 1.0 (* 5.0 (* v v))) (+ v (sqrt 1.0))) (/ (- (* v v) 1.0) (cbrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v))))) (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))) (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (* (+ (* (* 5.0 (* v v)) (+ (* 5.0 (* v v)) 1.0)) (* 1.0 1.0)) (- (* v v) 1.0)) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v)))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (fma 4.0 (fma v v (pow v 4)) (- 1.0)) (- (/ (- 4.0) (pow v 2)) (fma 4.0 (/ 1 (pow v 4)) 5.0)) (- (/ (- 4.0) (pow v 2)) (fma 4.0 (/ 1 (pow v 4)) 5.0)) 0.382 * * * [progress]: adding candidates to table 0.525 * * [progress]: iteration 2 / 4 0.525 * * * [progress]: picking best candidate 0.531 * * * * [pick]: Picked # 0.531 * * * [progress]: localizing error 0.542 * * * [progress]: generating rewritten candidates 0.542 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.544 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 2) 0.549 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.550 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.552 * * * [progress]: generating series expansions 0.552 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.552 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.552 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.552 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.553 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.553 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.553 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.554 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.554 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.554 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.555 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 2) 0.555 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.555 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.555 * [taylor]: Taking taylor expansion of 5.0 in v 0.555 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.555 * [taylor]: Taking taylor expansion of v in v 0.555 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.555 * [taylor]: Taking taylor expansion of 5.0 in v 0.555 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.555 * [taylor]: Taking taylor expansion of v in v 0.563 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.564 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.564 * [taylor]: Taking taylor expansion of 5.0 in v 0.564 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.564 * [taylor]: Taking taylor expansion of v in v 0.564 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.564 * [taylor]: Taking taylor expansion of 5.0 in v 0.564 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.564 * [taylor]: Taking taylor expansion of v in v 0.577 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.577 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.577 * [taylor]: Taking taylor expansion of 5.0 in v 0.577 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.577 * [taylor]: Taking taylor expansion of v in v 0.578 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.578 * [taylor]: Taking taylor expansion of 5.0 in v 0.578 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.578 * [taylor]: Taking taylor expansion of v in v 0.585 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.586 * [approximate]: Taking taylor expansion of (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in (v) around 0 0.586 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in v 0.586 * [taylor]: Rewrote expression to (- (exp (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 1) 0.586 * [taylor]: Taking taylor expansion of (exp (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in v 0.586 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 0.586 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 0.586 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 0.586 * [taylor]: Taking taylor expansion of 1 in v 0.586 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.587 * [taylor]: Taking taylor expansion of 1 in v 0.587 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in v 0.587 * [taylor]: Rewrote expression to (- (exp (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 1) 0.587 * [taylor]: Taking taylor expansion of (exp (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in v 0.587 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 0.587 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 0.587 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 0.587 * [taylor]: Taking taylor expansion of 1 in v 0.587 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.588 * [taylor]: Taking taylor expansion of 1 in v 0.625 * [approximate]: Taking taylor expansion of (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in (v) around 0 0.625 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 0.625 * [taylor]: Rewrote expression to (- (exp (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 1) 0.625 * [taylor]: Taking taylor expansion of (exp (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 0.625 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.625 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 0.626 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.626 * [taylor]: Taking taylor expansion of 1 in v 0.626 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.626 * [taylor]: Taking taylor expansion of 1 in v 0.626 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 0.627 * [taylor]: Rewrote expression to (- (exp (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 1) 0.627 * [taylor]: Taking taylor expansion of (exp (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 0.627 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.627 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 0.627 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.627 * [taylor]: Taking taylor expansion of 1 in v 0.627 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.628 * [taylor]: Taking taylor expansion of 1 in v 0.673 * [approximate]: Taking taylor expansion of (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in (v) around 0 0.673 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 0.673 * [taylor]: Rewrote expression to (- (exp (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 1) 0.673 * [taylor]: Taking taylor expansion of (exp (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 0.673 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.673 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 0.673 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.673 * [taylor]: Taking taylor expansion of 1 in v 0.673 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.674 * [taylor]: Taking taylor expansion of 1 in v 0.674 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 0.674 * [taylor]: Rewrote expression to (- (exp (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 1) 0.674 * [taylor]: Taking taylor expansion of (exp (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 0.674 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.675 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 0.675 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.675 * [taylor]: Taking taylor expansion of 1 in v 0.675 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.675 * [taylor]: Taking taylor expansion of 1 in v 0.714 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.714 * [approximate]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in (v) around 0 0.714 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 0.715 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 0.715 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 0.715 * [taylor]: Taking taylor expansion of 1 in v 0.715 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.715 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 0.715 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 0.715 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 0.715 * [taylor]: Taking taylor expansion of 1 in v 0.715 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.741 * [approximate]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in (v) around 0 0.741 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.741 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 0.741 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.741 * [taylor]: Taking taylor expansion of 1 in v 0.741 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.742 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.742 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 0.742 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.742 * [taylor]: Taking taylor expansion of 1 in v 0.742 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.775 * [approximate]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in (v) around 0 0.775 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.775 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 0.775 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.775 * [taylor]: Taking taylor expansion of 1 in v 0.775 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.776 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.776 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 0.776 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.776 * [taylor]: Taking taylor expansion of 1 in v 0.776 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.802 * * * [progress]: simplifying candidates 0.803 * [simplify]: Simplifying using # : (expm1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (expm1 (* 5.0 (* v v))) (log1p (* 5.0 (* v v))) (* 5.0 (* v v)) (* 5.0 (* v v)) (+ (log 5.0) (+ (log v) (log v))) (+ (log 5.0) (log (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) v) (* (* v v) v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (exp (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (expm1 (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (log1p (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (log (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (exp (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (* (cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (* (* (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (sqrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (sqrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (+ 1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (exp (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (cbrt (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (* (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (log (+ (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 1)) (log (+ (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 1)) (log (+ (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 1)) 0.808 * * [simplify]: iteration 0 : 152 enodes (cost 473 ) 0.811 * * [simplify]: iteration 1 : 385 enodes (cost 408 ) 0.816 * * [simplify]: iteration 2 : 992 enodes (cost 406 ) 0.835 * * [simplify]: iteration 3 : 3312 enodes (cost 406 ) 0.915 * * [simplify]: iteration 4 : 5001 enodes (cost 406 ) 0.917 * [simplify]: Simplified to: (expm1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (expm1 (* 5.0 (* v v))) (log1p (* 5.0 (* v v))) (* 5.0 (* v v)) (* 5.0 (* v v)) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (pow (* 5.0 (* v v)) 3) (pow (* 5.0 (* v v)) 3) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (pow (* 5.0 (* v v)) 3) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (+ (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 1) (expm1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (+ (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 1) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (+ (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 1) (* (cbrt (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (pow (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 3) (sqrt (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 0.918 * * * [progress]: adding candidates to table 1.033 * * [progress]: iteration 3 / 4 1.033 * * * [progress]: picking best candidate 1.045 * * * * [pick]: Picked # 1.045 * * * [progress]: localizing error 1.059 * * * [progress]: generating rewritten candidates 1.059 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 1.061 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 1 2) 1.067 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.067 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.069 * * * [progress]: generating series expansions 1.069 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 1.069 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 1.069 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.069 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.070 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 1.070 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.070 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.071 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 1.071 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.072 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.072 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 1 2) 1.072 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 1.072 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 1.072 * [taylor]: Taking taylor expansion of 5.0 in v 1.072 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.072 * [taylor]: Taking taylor expansion of v in v 1.072 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 1.072 * [taylor]: Taking taylor expansion of 5.0 in v 1.072 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.072 * [taylor]: Taking taylor expansion of v in v 1.081 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 1.081 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.081 * [taylor]: Taking taylor expansion of 5.0 in v 1.081 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.081 * [taylor]: Taking taylor expansion of v in v 1.081 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.081 * [taylor]: Taking taylor expansion of 5.0 in v 1.081 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.081 * [taylor]: Taking taylor expansion of v in v 1.089 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 1.089 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.089 * [taylor]: Taking taylor expansion of 5.0 in v 1.089 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.089 * [taylor]: Taking taylor expansion of v in v 1.089 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.089 * [taylor]: Taking taylor expansion of 5.0 in v 1.090 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.090 * [taylor]: Taking taylor expansion of v in v 1.103 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.103 * [approximate]: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))))) in (v) around 0 1.103 * [taylor]: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))))) in v 1.103 * [taylor]: Rewrote expression to (- (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))))) 1) 1.104 * [taylor]: Taking taylor expansion of (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))))) in v 1.104 * [taylor]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) in v 1.104 * [taylor]: Rewrote expression to (- (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) 1) 1.104 * [taylor]: Taking taylor expansion of (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) in v 1.104 * [taylor]: Taking taylor expansion of (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in v 1.104 * [taylor]: Rewrote expression to (log (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) 1.104 * [taylor]: Taking taylor expansion of (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in v 1.104 * [taylor]: Taking taylor expansion of 1 in v 1.104 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 1.104 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 1.104 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 1.104 * [taylor]: Taking taylor expansion of 1 in v 1.104 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.105 * [taylor]: Taking taylor expansion of 1 in v 1.106 * [taylor]: Taking taylor expansion of 1 in v 1.106 * [taylor]: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))))) in v 1.106 * [taylor]: Rewrote expression to (- (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))))) 1) 1.106 * [taylor]: Taking taylor expansion of (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))))) in v 1.106 * [taylor]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) in v 1.106 * [taylor]: Rewrote expression to (- (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) 1) 1.106 * [taylor]: Taking taylor expansion of (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) in v 1.107 * [taylor]: Taking taylor expansion of (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in v 1.107 * [taylor]: Rewrote expression to (log (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) 1.107 * [taylor]: Taking taylor expansion of (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in v 1.107 * [taylor]: Taking taylor expansion of 1 in v 1.107 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 1.107 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 1.107 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 1.107 * [taylor]: Taking taylor expansion of 1 in v 1.107 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.108 * [taylor]: Taking taylor expansion of 1 in v 1.109 * [taylor]: Taking taylor expansion of 1 in v 1.191 * [approximate]: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) in (v) around 0 1.191 * [taylor]: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) in v 1.191 * [taylor]: Rewrote expression to (- (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) 1) 1.191 * [taylor]: Taking taylor expansion of (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) in v 1.191 * [taylor]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.191 * [taylor]: Rewrote expression to (- (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1) 1.191 * [taylor]: Taking taylor expansion of (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.191 * [taylor]: Taking taylor expansion of (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.191 * [taylor]: Rewrote expression to (log (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1.191 * [taylor]: Taking taylor expansion of (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.191 * [taylor]: Taking taylor expansion of 1 in v 1.191 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.191 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 1.191 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.191 * [taylor]: Taking taylor expansion of 1 in v 1.191 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.193 * [taylor]: Taking taylor expansion of 1 in v 1.194 * [taylor]: Taking taylor expansion of 1 in v 1.194 * [taylor]: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) in v 1.194 * [taylor]: Rewrote expression to (- (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) 1) 1.194 * [taylor]: Taking taylor expansion of (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) in v 1.194 * [taylor]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.194 * [taylor]: Rewrote expression to (- (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1) 1.194 * [taylor]: Taking taylor expansion of (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.194 * [taylor]: Taking taylor expansion of (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.194 * [taylor]: Rewrote expression to (log (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1.194 * [taylor]: Taking taylor expansion of (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.194 * [taylor]: Taking taylor expansion of 1 in v 1.194 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.194 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 1.194 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.194 * [taylor]: Taking taylor expansion of 1 in v 1.194 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.196 * [taylor]: Taking taylor expansion of 1 in v 1.197 * [taylor]: Taking taylor expansion of 1 in v 1.282 * [approximate]: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) in (v) around 0 1.282 * [taylor]: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) in v 1.282 * [taylor]: Rewrote expression to (- (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) 1) 1.282 * [taylor]: Taking taylor expansion of (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) in v 1.282 * [taylor]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.282 * [taylor]: Rewrote expression to (- (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1) 1.282 * [taylor]: Taking taylor expansion of (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.282 * [taylor]: Taking taylor expansion of (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.282 * [taylor]: Rewrote expression to (log (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1.282 * [taylor]: Taking taylor expansion of (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.282 * [taylor]: Taking taylor expansion of 1 in v 1.282 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.282 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 1.282 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.282 * [taylor]: Taking taylor expansion of 1 in v 1.282 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.284 * [taylor]: Taking taylor expansion of 1 in v 1.285 * [taylor]: Taking taylor expansion of 1 in v 1.285 * [taylor]: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) in v 1.285 * [taylor]: Rewrote expression to (- (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) 1) 1.285 * [taylor]: Taking taylor expansion of (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))))) in v 1.285 * [taylor]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.285 * [taylor]: Rewrote expression to (- (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1) 1.285 * [taylor]: Taking taylor expansion of (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.285 * [taylor]: Taking taylor expansion of (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.285 * [taylor]: Rewrote expression to (log (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1.285 * [taylor]: Taking taylor expansion of (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.285 * [taylor]: Taking taylor expansion of 1 in v 1.285 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.285 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 1.285 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.285 * [taylor]: Taking taylor expansion of 1 in v 1.285 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.286 * [taylor]: Taking taylor expansion of 1 in v 1.287 * [taylor]: Taking taylor expansion of 1 in v 1.372 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.372 * [approximate]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) in (v) around 0 1.372 * [taylor]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) in v 1.372 * [taylor]: Rewrote expression to (- (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) 1) 1.372 * [taylor]: Taking taylor expansion of (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) in v 1.372 * [taylor]: Taking taylor expansion of (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in v 1.372 * [taylor]: Rewrote expression to (log (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) 1.373 * [taylor]: Taking taylor expansion of (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in v 1.373 * [taylor]: Taking taylor expansion of 1 in v 1.373 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 1.373 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 1.373 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 1.373 * [taylor]: Taking taylor expansion of 1 in v 1.373 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.374 * [taylor]: Taking taylor expansion of 1 in v 1.374 * [taylor]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) in v 1.374 * [taylor]: Rewrote expression to (- (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) 1) 1.374 * [taylor]: Taking taylor expansion of (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) in v 1.374 * [taylor]: Taking taylor expansion of (log1p (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in v 1.374 * [taylor]: Rewrote expression to (log (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))))) 1.374 * [taylor]: Taking taylor expansion of (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) in v 1.374 * [taylor]: Taking taylor expansion of 1 in v 1.374 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 1.374 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))))) 1.374 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 1.374 * [taylor]: Taking taylor expansion of 1 in v 1.374 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.375 * [taylor]: Taking taylor expansion of 1 in v 1.439 * [approximate]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in (v) around 0 1.439 * [taylor]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.439 * [taylor]: Rewrote expression to (- (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1) 1.439 * [taylor]: Taking taylor expansion of (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.439 * [taylor]: Taking taylor expansion of (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.439 * [taylor]: Rewrote expression to (log (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1.439 * [taylor]: Taking taylor expansion of (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.439 * [taylor]: Taking taylor expansion of 1 in v 1.439 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.439 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 1.439 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.439 * [taylor]: Taking taylor expansion of 1 in v 1.439 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.441 * [taylor]: Taking taylor expansion of 1 in v 1.441 * [taylor]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.441 * [taylor]: Rewrote expression to (- (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1) 1.441 * [taylor]: Taking taylor expansion of (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.441 * [taylor]: Taking taylor expansion of (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.441 * [taylor]: Rewrote expression to (log (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1.441 * [taylor]: Taking taylor expansion of (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.441 * [taylor]: Taking taylor expansion of 1 in v 1.441 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.441 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 1.441 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.441 * [taylor]: Taking taylor expansion of 1 in v 1.441 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.442 * [taylor]: Taking taylor expansion of 1 in v 1.515 * [approximate]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in (v) around 0 1.515 * [taylor]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.515 * [taylor]: Rewrote expression to (- (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1) 1.515 * [taylor]: Taking taylor expansion of (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.515 * [taylor]: Taking taylor expansion of (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.515 * [taylor]: Rewrote expression to (log (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1.515 * [taylor]: Taking taylor expansion of (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.515 * [taylor]: Taking taylor expansion of 1 in v 1.516 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.516 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 1.516 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.516 * [taylor]: Taking taylor expansion of 1 in v 1.516 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.517 * [taylor]: Taking taylor expansion of 1 in v 1.517 * [taylor]: Taking taylor expansion of (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.517 * [taylor]: Rewrote expression to (- (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1) 1.517 * [taylor]: Taking taylor expansion of (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) in v 1.517 * [taylor]: Taking taylor expansion of (log1p (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.517 * [taylor]: Rewrote expression to (log (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))))) 1.517 * [taylor]: Taking taylor expansion of (+ 1 (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) in v 1.517 * [taylor]: Taking taylor expansion of 1 in v 1.517 * [taylor]: Taking taylor expansion of (log1p (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.517 * [taylor]: Rewrote expression to (log (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))))) 1.517 * [taylor]: Taking taylor expansion of (+ 1 (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 1.517 * [taylor]: Taking taylor expansion of 1 in v 1.517 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.519 * [taylor]: Taking taylor expansion of 1 in v 1.592 * * * [progress]: simplifying candidates 1.593 * [simplify]: Simplifying using # : (expm1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (* (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (expm1 (* 5.0 (* v v))) (log1p (* 5.0 (* v v))) (* 5.0 (* v v)) (* 5.0 (* v v)) (+ (log 5.0) (+ (log v) (log v))) (+ (log 5.0) (log (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) v) (* (* v v) v))) (* (* (* 5.0 5.0) 5.0) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (* (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (expm1 (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))) (log1p (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))) (log (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))) (exp (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))) (* (cbrt (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))) (cbrt (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))))) (cbrt (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))) (* (* (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))) (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))) (sqrt (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))) (sqrt (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))) (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (expm1 (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (log1p (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (log (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (exp (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (* (cbrt (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (cbrt (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))) (cbrt (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (* (* (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (sqrt (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (sqrt (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (log (+ (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 1)) (log (+ (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 1)) (log (+ (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 1)) 1.598 * * [simplify]: iteration 0 : 153 enodes (cost 543 ) 1.601 * * [simplify]: iteration 1 : 391 enodes (cost 426 ) 1.607 * * [simplify]: iteration 2 : 998 enodes (cost 420 ) 1.625 * * [simplify]: iteration 3 : 3318 enodes (cost 420 ) 1.706 * * [simplify]: iteration 4 : 5001 enodes (cost 420 ) 1.709 * [simplify]: Simplified to: (expm1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (expm1 (* 5.0 (* v v))) (log1p (* 5.0 (* v v))) (* 5.0 (* v v)) (* 5.0 (* v v)) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (pow (* 5.0 (* v v)) 3) (pow (* 5.0 (* v v)) 3) (* (cbrt (* 5.0 (* v v))) (cbrt (* 5.0 (* v v)))) (cbrt (* 5.0 (* v v))) (pow (* 5.0 (* v v)) 3) (sqrt (* 5.0 (* v v))) (sqrt (* 5.0 (* v v))) (* (sqrt 5.0) v) (* (sqrt 5.0) v) (* 5.0 v) (* (cbrt 5.0) (* v v)) (* (sqrt 5.0) (* v v)) (* 5.0 (* v v)) (+ (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 1) (expm1 (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (exp (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (+ (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 1) (* (cbrt (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (cbrt (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))) (cbrt (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (pow (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 3) (sqrt (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (sqrt (expm1 (log1p (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 1.709 * * * [progress]: adding candidates to table 2.043 * * [progress]: iteration 4 / 4 2.043 * * * [progress]: picking best candidate 2.054 * * * * [pick]: Picked # 2.054 * * * [progress]: localizing error 2.062 * * * [progress]: generating rewritten candidates 2.062 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.063 * * * [progress]: generating series expansions 2.063 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.064 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in (v) around 0 2.064 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 2.064 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 2.066 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in (v) around 0 2.066 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 2.066 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 2.068 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in (v) around 0 2.068 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 2.068 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 2.070 * * * [progress]: simplifying candidates 2.070 * [simplify]: Simplifying using # : (expm1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (exp (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (* (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (* (* (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) 2.073 * * [simplify]: iteration 0 : 30 enodes (cost 93 ) 2.075 * * [simplify]: iteration 1 : 54 enodes (cost 82 ) 2.077 * * [simplify]: iteration 2 : 153 enodes (cost 82 ) 2.080 * * [simplify]: iteration 3 : 423 enodes (cost 82 ) 2.094 * * [simplify]: iteration 4 : 1909 enodes (cost 82 ) 2.164 * * [simplify]: iteration 5 : 5001 enodes (cost 82 ) 2.165 * [simplify]: Simplified to: (expm1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (exp (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (* (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (pow (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) 3) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) 2.165 * * * [progress]: adding candidates to table 2.194 * [progress]: [Phase 3 of 3] Extracting. 2.194 * * [regime]: Finding splitpoints for: (# # # # #) 2.196 * * * [regime-changes]: Trying 4 branch expressions: ((* v v) (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) v) 2.196 * * * * [regimes]: Trying to branch on (* v v) from (# # # # #) 2.216 * * * * [regimes]: Trying to branch on (* v v) from (# # #) 2.234 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) from (# # # # #) 2.253 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) from (# # #) 2.267 * * * * [regimes]: Trying to branch on (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) from (# # # # #) 2.291 * * * * [regimes]: Trying to branch on (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) from (# # #) 2.307 * * * * [regimes]: Trying to branch on v from (# # # # #) 2.331 * * * [regime]: Found split indices: #