7.937 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.082 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.085 * [simplify]: Simplifying using # : (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.088 * * [simplify]: iteration 0 : 19 enodes (cost 7 ) 0.089 * * [simplify]: iteration 1 : 42 enodes (cost 7 ) 0.091 * * [simplify]: iteration 2 : 77 enodes (cost 7 ) 0.093 * * [simplify]: iteration 3 : 146 enodes (cost 7 ) 0.096 * * [simplify]: iteration 4 : 242 enodes (cost 7 ) 0.100 * * [simplify]: iteration 5 : 417 enodes (cost 7 ) 0.111 * * [simplify]: iteration 6 : 2789 enodes (cost 7 ) 0.187 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.187 * [simplify]: Simplified to: (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.188 * * [progress]: iteration 1 / 4 0.188 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.198 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.204 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.212 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.217 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.217 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.218 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.218 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.218 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.219 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.220 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.220 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.220 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.221 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.221 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.221 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.221 * [taylor]: Taking taylor expansion of 5.0 in v 0.221 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.221 * [taylor]: Taking taylor expansion of v in v 0.221 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.221 * [taylor]: Taking taylor expansion of 5.0 in v 0.221 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.221 * [taylor]: Taking taylor expansion of v in v 0.229 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.229 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.229 * [taylor]: Taking taylor expansion of 5.0 in v 0.229 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.229 * [taylor]: Taking taylor expansion of v in v 0.230 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.230 * [taylor]: Taking taylor expansion of 5.0 in v 0.230 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.230 * [taylor]: Taking taylor expansion of v in v 0.237 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.237 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.237 * [taylor]: Taking taylor expansion of 5.0 in v 0.237 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.238 * [taylor]: Taking taylor expansion of v in v 0.238 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.238 * [taylor]: Taking taylor expansion of 5.0 in v 0.238 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.238 * [taylor]: Taking taylor expansion of v in v 0.245 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.246 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 0.246 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.246 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.246 * [taylor]: Taking taylor expansion of 1.0 in v 0.246 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.246 * [taylor]: Taking taylor expansion of 5.0 in v 0.246 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.246 * [taylor]: Taking taylor expansion of v in v 0.246 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.246 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.246 * [taylor]: Taking taylor expansion of v in v 0.246 * [taylor]: Taking taylor expansion of 1.0 in v 0.248 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.248 * [taylor]: Taking taylor expansion of 1.0 in v 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 0.248 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.248 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.248 * [taylor]: Taking taylor expansion of v in v 0.248 * [taylor]: Taking taylor expansion of 1.0 in v 0.272 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.272 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.272 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.272 * [taylor]: Taking taylor expansion of 1.0 in v 0.272 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.272 * [taylor]: Taking taylor expansion of 5.0 in v 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.272 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.272 * [taylor]: Taking taylor expansion of v in v 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.273 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.273 * [taylor]: Taking taylor expansion of v in v 0.273 * [taylor]: Taking taylor expansion of 1.0 in v 0.275 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.275 * [taylor]: Taking taylor expansion of 1.0 in v 0.275 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.275 * [taylor]: Taking taylor expansion of 5.0 in v 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.275 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.275 * [taylor]: Taking taylor expansion of v in v 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) 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 0.276 * [taylor]: Taking taylor expansion of 1.0 in v 0.302 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.302 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.302 * [taylor]: Taking taylor expansion of 1.0 in v 0.302 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.302 * [taylor]: Taking taylor expansion of 5.0 in v 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.302 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.302 * [taylor]: Taking taylor expansion of v in v 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.302 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.302 * [taylor]: Taking taylor expansion of v in v 0.303 * [taylor]: Taking taylor expansion of 1.0 in v 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 0.331 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.332 * [approximate]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in (v) around 0 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.332 * [taylor]: Taking taylor expansion of 1.0 in v 0.332 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.332 * [taylor]: Taking taylor expansion of 5.0 in v 0.332 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.332 * [taylor]: Taking taylor expansion of v in v 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.332 * [taylor]: Taking taylor expansion of 1.0 in v 0.332 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.332 * [taylor]: Taking taylor expansion of 5.0 in v 0.332 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.332 * [taylor]: Taking taylor expansion of v in v 0.351 * [approximate]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in (v) around 0 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.351 * [taylor]: Taking taylor expansion of 1.0 in v 0.351 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.351 * [taylor]: Taking taylor expansion of 5.0 in v 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.351 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.351 * [taylor]: Taking taylor expansion of v in v 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.352 * [taylor]: Taking taylor expansion of 1.0 in v 0.352 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.352 * [taylor]: Taking taylor expansion of 5.0 in v 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.352 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.352 * [taylor]: Taking taylor expansion of v in v 0.373 * [approximate]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in (v) around 0 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.373 * [taylor]: Taking taylor expansion of 1.0 in v 0.373 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.373 * [taylor]: Taking taylor expansion of 5.0 in v 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.373 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.373 * [taylor]: Taking taylor expansion of v in v 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.374 * [taylor]: Taking taylor expansion of 1.0 in v 0.374 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.374 * [taylor]: Taking taylor expansion of 5.0 in v 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.374 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.374 * [taylor]: Taking taylor expansion of v in v 0.394 * * * [progress]: simplifying candidates 0.395 * [simplify]: Simplifying using # : (/ 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)))) (* 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)) (- (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)))) (/ (exp 1.0) (exp (* 5.0 (* v v)))) (log (- 1.0 (* 5.0 (* v v)))) (exp (- 1.0 (* 5.0 (* v v)))) (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (cbrt (- 1.0 (* 5.0 (* v v)))) (* (* (- 1.0 (* 5.0 (* v v))) (- 1.0 (* 5.0 (* v v)))) (- 1.0 (* 5.0 (* v v)))) (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- 1.0 (* 5.0 (* v v)))) (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (+ (* 1.0 1.0) (+ (* (* 5.0 (* v v)) (* 5.0 (* v v))) (* 1.0 (* 5.0 (* v v))))) (- (* 5.0 (* v v))) (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (+ 1.0 (* 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))) (* 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))) (- 1.0 (* 5.0 (pow v 2))) (- 1.0 (* 5.0 (pow v 2))) (- 1.0 (* 5.0 (pow v 2))) 0.402 * * [simplify]: iteration 0 : 355 enodes (cost 664 ) 0.409 * * [simplify]: iteration 1 : 1356 enodes (cost 609 ) 0.434 * * [simplify]: iteration 2 : 5001 enodes (cost 605 ) 0.438 * [simplify]: Simplified to: (/ 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)))) (* 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)) (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))) (+ (- (* 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)))) (exp (- 1.0 (* 5.0 (* v v)))) (log (- 1.0 (* 5.0 (* v v)))) (exp (- 1.0 (* 5.0 (* v v)))) (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (- 1.0 (* 5.0 (* v v))) 3) (sqrt (- 1.0 (* 5.0 (* v v)))) (sqrt (- 1.0 (* 5.0 (* v v)))) (- (pow 1.0 3) (pow (* 5.0 (* v v)) 3)) (+ (* (* 5.0 (* v v)) (+ (* 5.0 (* v v)) 1.0)) (* 1.0 1.0)) (- (* 5.0 (* v v))) (+ (* (- (* 5.0 5.0)) (pow v 4)) (* 1.0 1.0)) (+ 1.0 (* 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))) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0) (- (- (/ (- 4.0) (pow v 2)) 5.0) (/ 4.0 (pow v 4))) (- (- (/ (- 4.0) (pow v 2)) 5.0) (/ 4.0 (pow v 4))) (- 1.0 (* 5.0 (* v v))) (- 1.0 (* 5.0 (* v v))) (- 1.0 (* 5.0 (* v v))) 0.439 * * * [progress]: adding candidates to table 0.594 * * [progress]: iteration 2 / 4 0.594 * * * [progress]: picking best candidate 0.609 * * * * [pick]: Picked # 0.609 * * * [progress]: localizing error 0.620 * * * [progress]: generating rewritten candidates 0.620 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.622 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 2) 0.627 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.630 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.632 * * * [progress]: generating series expansions 0.632 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.632 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.632 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.633 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.633 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.633 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.634 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.634 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.635 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.635 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.635 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 2) 0.636 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 0.636 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.636 * [taylor]: Taking taylor expansion of 5.0 in v 0.636 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.636 * [taylor]: Taking taylor expansion of v in v 0.636 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.636 * [taylor]: Taking taylor expansion of 5.0 in v 0.636 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.636 * [taylor]: Taking taylor expansion of v in v 0.644 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.644 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.644 * [taylor]: Taking taylor expansion of 5.0 in v 0.644 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.644 * [taylor]: Taking taylor expansion of v in v 0.645 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.645 * [taylor]: Taking taylor expansion of 5.0 in v 0.645 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.645 * [taylor]: Taking taylor expansion of v in v 0.652 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.652 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.652 * [taylor]: Taking taylor expansion of 5.0 in v 0.652 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.652 * [taylor]: Taking taylor expansion of v in v 0.653 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.653 * [taylor]: Taking taylor expansion of 5.0 in v 0.653 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.653 * [taylor]: Taking taylor expansion of v in v 0.661 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.661 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.661 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.661 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.662 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.662 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.662 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.663 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.663 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.663 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.664 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.664 * [approximate]: Taking taylor expansion of (log (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in (v) around 0 0.664 * [taylor]: Taking taylor expansion of (log (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 0.664 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.665 * [taylor]: Taking taylor expansion of (log (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))) in v 0.665 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.697 * [approximate]: Taking taylor expansion of (log (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in (v) around 0 0.697 * [taylor]: Taking taylor expansion of (log (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.697 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.697 * [taylor]: Taking taylor expansion of (log (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.697 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.723 * [approximate]: Taking taylor expansion of (log (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in (v) around 0 0.723 * [taylor]: Taking taylor expansion of (log (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.723 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.723 * [taylor]: Taking taylor expansion of (log (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)))) in v 0.723 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.748 * * * [progress]: simplifying candidates 0.749 * [simplify]: Simplifying using # : (/ 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)))) (* 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 1) (exp (* (cbrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (exp (sqrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (exp 1) (exp (log (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (exp (log (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (exp (log (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (exp (log (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (exp (log 1)) (exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (exp (exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (* (cbrt (exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (cbrt (exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (* (* (exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (sqrt (exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (sqrt (exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (log (* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (log (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log 1) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (cbrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (* (* (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (log (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)))) (log (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)))) 0.754 * * [simplify]: iteration 0 : 156 enodes (cost 537 ) 0.757 * * [simplify]: iteration 1 : 407 enodes (cost 466 ) 0.764 * * [simplify]: iteration 2 : 1036 enodes (cost 448 ) 0.783 * * [simplify]: iteration 3 : 3485 enodes (cost 442 ) 0.865 * * [simplify]: iteration 4 : 5001 enodes (cost 442 ) 0.868 * [simplify]: Simplified to: (/ 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)))) (pow (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 2) (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)))) (* 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)) E (exp (* (cbrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))) (exp (sqrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) E (pow (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 2) (cbrt (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)))) 1 (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)))) (pow (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 2) (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)))) (* 2 (log (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (log (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (log (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 0 (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) (* (cbrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (pow (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 3) (sqrt (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (sqrt (log (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))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 0.869 * * * [progress]: adding candidates to table 0.982 * * [progress]: iteration 3 / 4 0.982 * * * [progress]: picking best candidate 0.996 * * * * [pick]: Picked # 0.996 * * * [progress]: localizing error 1.013 * * * [progress]: generating rewritten candidates 1.013 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.014 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.016 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 2) 1.021 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1 2) 1.029 * * * [progress]: generating series expansions 1.029 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.029 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 1.029 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.029 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.030 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 1.030 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.030 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.031 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 1.031 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.032 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.032 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.033 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 1.033 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.033 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.034 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 1.034 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.034 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.035 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 1.035 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.035 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.040 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 2) 1.040 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 1.040 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 1.040 * [taylor]: Taking taylor expansion of 5.0 in v 1.040 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.041 * [taylor]: Taking taylor expansion of v in v 1.041 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 1.041 * [taylor]: Taking taylor expansion of 5.0 in v 1.041 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.041 * [taylor]: Taking taylor expansion of v in v 1.049 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 1.049 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.049 * [taylor]: Taking taylor expansion of 5.0 in v 1.049 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.049 * [taylor]: Taking taylor expansion of v in v 1.050 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.050 * [taylor]: Taking taylor expansion of 5.0 in v 1.050 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.050 * [taylor]: Taking taylor expansion of v in v 1.058 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 1.058 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.058 * [taylor]: Taking taylor expansion of 5.0 in v 1.058 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.058 * [taylor]: Taking taylor expansion of v in v 1.059 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.059 * [taylor]: Taking taylor expansion of 5.0 in v 1.059 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.059 * [taylor]: Taking taylor expansion of v in v 1.066 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1 2) 1.066 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 1.066 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 1.066 * [taylor]: Taking taylor expansion of 5.0 in v 1.066 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.066 * [taylor]: Taking taylor expansion of v in v 1.066 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 1.066 * [taylor]: Taking taylor expansion of 5.0 in v 1.066 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.066 * [taylor]: Taking taylor expansion of v in v 1.074 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 1.074 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.074 * [taylor]: Taking taylor expansion of 5.0 in v 1.074 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.075 * [taylor]: Taking taylor expansion of v in v 1.075 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.075 * [taylor]: Taking taylor expansion of 5.0 in v 1.075 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.075 * [taylor]: Taking taylor expansion of v in v 1.083 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 1.083 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.083 * [taylor]: Taking taylor expansion of 5.0 in v 1.083 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.083 * [taylor]: Taking taylor expansion of v in v 1.084 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.084 * [taylor]: Taking taylor expansion of 5.0 in v 1.084 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.084 * [taylor]: Taking taylor expansion of v in v 1.092 * * * [progress]: simplifying candidates 1.093 * [simplify]: Simplifying using # : (/ 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)))) (/ 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)))) (* 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)) (* 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)) (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))) (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)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) (* 5.0 (pow v 2)) 1.097 * * [simplify]: iteration 0 : 119 enodes (cost 368 ) 1.100 * * [simplify]: iteration 1 : 350 enodes (cost 308 ) 1.106 * * [simplify]: iteration 2 : 945 enodes (cost 308 ) 1.126 * * [simplify]: iteration 3 : 3243 enodes (cost 308 ) 1.204 * * [simplify]: iteration 4 : 5001 enodes (cost 308 ) 1.206 * [simplify]: Simplified to: (/ 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)))) (/ 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)))) (* 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)) (* 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))) (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))) (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)) (* 5.0 (* v v)) (* 5.0 (* v v)) (* 5.0 (* v v)) 1.207 * * * [progress]: adding candidates to table 1.392 * * [progress]: iteration 4 / 4 1.392 * * * [progress]: picking best candidate 1.409 * * * * [pick]: Picked # 1.409 * * * [progress]: localizing error 1.435 * * * [progress]: generating rewritten candidates 1.435 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1 1 2) 1.441 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.442 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.443 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 2) 1.450 * * * [progress]: generating series expansions 1.450 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1 1 2) 1.450 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 1.450 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 1.450 * [taylor]: Taking taylor expansion of 5.0 in v 1.450 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.450 * [taylor]: Taking taylor expansion of v in v 1.450 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 1.450 * [taylor]: Taking taylor expansion of 5.0 in v 1.450 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.450 * [taylor]: Taking taylor expansion of v in v 1.458 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 1.458 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.458 * [taylor]: Taking taylor expansion of 5.0 in v 1.458 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.458 * [taylor]: Taking taylor expansion of v in v 1.459 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.459 * [taylor]: Taking taylor expansion of 5.0 in v 1.459 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.459 * [taylor]: Taking taylor expansion of v in v 1.467 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 1.467 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.467 * [taylor]: Taking taylor expansion of 5.0 in v 1.467 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.467 * [taylor]: Taking taylor expansion of v in v 1.467 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.467 * [taylor]: Taking taylor expansion of 5.0 in v 1.467 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.467 * [taylor]: Taking taylor expansion of v in v 1.475 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.475 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 1.475 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.475 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.476 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 1.476 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.476 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.477 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 1.477 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.477 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.478 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.478 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 1.478 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.479 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 1.479 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 1.479 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.480 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.480 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 1.481 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.481 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 1.481 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 2) 1.482 * [approximate]: Taking taylor expansion of (* 5.0 (pow v 2)) in (v) around 0 1.482 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 1.482 * [taylor]: Taking taylor expansion of 5.0 in v 1.482 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.482 * [taylor]: Taking taylor expansion of v in v 1.482 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 1.482 * [taylor]: Taking taylor expansion of 5.0 in v 1.482 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.482 * [taylor]: Taking taylor expansion of v in v 1.489 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 1.490 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.490 * [taylor]: Taking taylor expansion of 5.0 in v 1.490 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.490 * [taylor]: Taking taylor expansion of v in v 1.490 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.490 * [taylor]: Taking taylor expansion of 5.0 in v 1.490 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.490 * [taylor]: Taking taylor expansion of v in v 1.498 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 1.498 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.498 * [taylor]: Taking taylor expansion of 5.0 in v 1.498 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.498 * [taylor]: Taking taylor expansion of v in v 1.498 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 1.498 * [taylor]: Taking taylor expansion of 5.0 in v 1.498 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.498 * [taylor]: Taking taylor expansion of v in v 1.506 * * * [progress]: simplifying candidates 1.506 * [simplify]: Simplifying using # : (log (* (cbrt (exp (* 5.0 (* v v)))) (cbrt (exp (* 5.0 (* v v)))))) (log (cbrt (exp (* 5.0 (* v v))))) (log (sqrt (exp (* 5.0 (* v v))))) (log (sqrt (exp (* 5.0 (* v v))))) (log 1) (log (exp (* 5.0 (* v v)))) (log (exp 5.0)) (log (exp (* 5.0 (* v v)))) (log (exp 5.0)) (log (log (exp (* 5.0 (* v v))))) (exp (log (exp (* 5.0 (* v v))))) (* (cbrt (log (exp (* 5.0 (* v v))))) (cbrt (log (exp (* 5.0 (* v v)))))) (cbrt (log (exp (* 5.0 (* v v))))) (* (* (log (exp (* 5.0 (* v v)))) (log (exp (* 5.0 (* v v))))) (log (exp (* 5.0 (* v v))))) (sqrt (log (exp (* 5.0 (* v v))))) (sqrt (log (exp (* 5.0 (* v v))))) (/ PI 2) (asin (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))) (log (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (exp (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (* (cbrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))))) (cbrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (* (* (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))) (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (log (exp (* 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)))) (* 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)) (* 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))) (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)) 1.511 * * [simplify]: iteration 0 : 156 enodes (cost 359 ) 1.513 * * [simplify]: iteration 1 : 412 enodes (cost 304 ) 1.519 * * [simplify]: iteration 2 : 1040 enodes (cost 304 ) 1.537 * * [simplify]: iteration 3 : 3582 enodes (cost 304 ) 1.617 * * [simplify]: iteration 4 : 5001 enodes (cost 304 ) 1.619 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (* 5.0 (* v v)))))) (log (cbrt (exp (* 5.0 (* v v))))) (log (sqrt (exp (* 5.0 (* v v))))) (log (sqrt (exp (* 5.0 (* v v))))) 0 (* 5.0 (* v v)) 5.0 (* 5.0 (* v v)) 5.0 (log (* 5.0 (* v v))) (exp (* 5.0 (* v v))) (* (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))) (/ 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)))) (/ 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)))) (* 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)) (* 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))) (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)) 1.620 * * * [progress]: adding candidates to table 1.814 * [progress]: [Phase 3 of 3] Extracting. 1.814 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.817 * * * [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) 1.817 * * * * [regimes]: Trying to branch on (* v v) from (# # # # # # #) 1.850 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) from (# # # # # # #) 1.877 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) from (# # # #) 1.897 * * * * [regimes]: Trying to branch on (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) from (# # # # # # #) 1.926 * * * * [regimes]: Trying to branch on (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) from (# # # #) 1.944 * * * * [regimes]: Trying to branch on v from (# # # # # # #) 1.977 * * * [regime]: Found split indices: #