6.654 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.100 * * * [progress]: [2/2] Setting up program. 0.102 * [progress]: [Phase 2 of 3] Improving. 0.103 * [simplify]: Simplifying using # : (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.105 * * [simplify]: iteration 0 : 20 enodes (cost 7 ) 0.107 * * [simplify]: iteration 1 : 43 enodes (cost 7 ) 0.109 * * [simplify]: iteration 2 : 84 enodes (cost 7 ) 0.111 * * [simplify]: iteration 3 : 155 enodes (cost 7 ) 0.114 * * [simplify]: iteration 4 : 262 enodes (cost 7 ) 0.119 * * [simplify]: iteration 5 : 454 enodes (cost 7 ) 0.130 * * [simplify]: iteration 6 : 2878 enodes (cost 7 ) 0.206 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.206 * [simplify]: Simplified to: (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 0.207 * * [progress]: iteration 1 / 4 0.207 * * * [progress]: picking best candidate 0.208 * * * * [pick]: Picked # 0.208 * * * [progress]: localizing error 0.216 * * * [progress]: generating rewritten candidates 0.217 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.218 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 0.224 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.233 * * * [progress]: generating series expansions 0.234 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.234 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in (v) around 0 0.234 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.234 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) in v 0.235 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.235 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.235 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.236 * [approximate]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in (v) around 0 0.236 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.237 * [taylor]: Taking taylor expansion of (acos (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0))) in v 0.237 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 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 0.237 * [taylor]: Taking taylor expansion of v in v 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 0.237 * [taylor]: Taking taylor expansion of v in v 0.246 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 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 0.247 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.247 * [taylor]: Taking taylor expansion of 5.0 in v 0.247 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.247 * [taylor]: Taking taylor expansion of v in v 0.254 * [approximate]: Taking taylor expansion of (/ 5.0 (pow v 2)) in (v) around 0 0.254 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.254 * [taylor]: Taking taylor expansion of 5.0 in v 0.254 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.254 * [taylor]: Taking taylor expansion of v in v 0.255 * [taylor]: Taking taylor expansion of (/ 5.0 (pow v 2)) in v 0.255 * [taylor]: Taking taylor expansion of 5.0 in v 0.255 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.255 * [taylor]: Taking taylor expansion of v in v 0.266 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.266 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in (v) around 0 0.267 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.267 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.267 * [taylor]: Taking taylor expansion of 1.0 in v 0.267 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.267 * [taylor]: Taking taylor expansion of 5.0 in v 0.267 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.267 * [taylor]: Taking taylor expansion of v in v 0.267 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.267 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.267 * [taylor]: Taking taylor expansion of v in v 0.267 * [taylor]: Taking taylor expansion of 1.0 in v 0.268 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) in v 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (pow v 2))) in v 0.268 * [taylor]: Taking taylor expansion of 1.0 in v 0.268 * [taylor]: Taking taylor expansion of (* 5.0 (pow v 2)) in v 0.268 * [taylor]: Taking taylor expansion of 5.0 in v 0.268 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.269 * [taylor]: Taking taylor expansion of v in v 0.269 * [taylor]: Taking taylor expansion of (- (pow v 2) 1.0) in v 0.269 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.269 * [taylor]: Taking taylor expansion of v in v 0.269 * [taylor]: Taking taylor expansion of 1.0 in v 0.286 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.286 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.286 * [taylor]: Taking taylor expansion of 1.0 in v 0.286 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.287 * [taylor]: Taking taylor expansion of 5.0 in v 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.287 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.287 * [taylor]: Taking taylor expansion of v in v 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.287 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.287 * [taylor]: Taking taylor expansion of v in v 0.288 * [taylor]: Taking taylor expansion of 1.0 in v 0.290 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.290 * [taylor]: Taking taylor expansion of 1.0 in v 0.290 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.290 * [taylor]: Taking taylor expansion of 5.0 in v 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.290 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.290 * [taylor]: Taking taylor expansion of v in v 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.290 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.290 * [taylor]: Taking taylor expansion of v in v 0.291 * [taylor]: Taking taylor expansion of 1.0 in v 0.317 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in (v) around 0 0.317 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.317 * [taylor]: Taking taylor expansion of 1.0 in v 0.317 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.317 * [taylor]: Taking taylor expansion of 5.0 in v 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.317 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.317 * [taylor]: Taking taylor expansion of v in v 0.318 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.318 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.318 * [taylor]: Taking taylor expansion of v in v 0.318 * [taylor]: Taking taylor expansion of 1.0 in v 0.320 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 5.0 (/ 1 (pow v 2)))) (- (/ 1 (pow v 2)) 1.0)) in v 0.320 * [taylor]: Taking taylor expansion of (- 1.0 (* 5.0 (/ 1 (pow v 2)))) in v 0.320 * [taylor]: Taking taylor expansion of 1.0 in v 0.320 * [taylor]: Taking taylor expansion of (* 5.0 (/ 1 (pow v 2))) in v 0.320 * [taylor]: Taking taylor expansion of 5.0 in v 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.320 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.320 * [taylor]: Taking taylor expansion of v in v 0.321 * [taylor]: Taking taylor expansion of (- (/ 1 (pow v 2)) 1.0) in v 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.321 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.321 * [taylor]: Taking taylor expansion of v in v 0.321 * [taylor]: Taking taylor expansion of 1.0 in v 0.352 * * * [progress]: simplifying candidates 0.353 * [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))) 0.359 * * [simplify]: iteration 0 : 349 enodes (cost 623 ) 0.367 * * [simplify]: iteration 1 : 1288 enodes (cost 567 ) 0.393 * * [simplify]: iteration 2 : 5001 enodes (cost 565 ) 0.397 * [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)) 0.397 * * * [progress]: adding candidates to table 0.541 * * [progress]: iteration 2 / 4 0.541 * * * [progress]: picking best candidate 0.551 * * * * [pick]: Picked # 0.551 * * * [progress]: localizing error 0.560 * * * [progress]: generating rewritten candidates 0.560 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.561 * * * [progress]: generating series expansions 0.561 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.562 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in (v) around 0 0.562 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 0.562 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 0.564 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in (v) around 0 0.564 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 0.564 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 0.566 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in (v) around 0 0.566 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 0.566 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 0.568 * * * [progress]: simplifying candidates 0.568 * [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))) 0.571 * * [simplify]: iteration 0 : 30 enodes (cost 93 ) 0.573 * * [simplify]: iteration 1 : 54 enodes (cost 82 ) 0.575 * * [simplify]: iteration 2 : 153 enodes (cost 82 ) 0.579 * * [simplify]: iteration 3 : 423 enodes (cost 82 ) 0.594 * * [simplify]: iteration 4 : 1909 enodes (cost 82 ) 0.666 * * [simplify]: iteration 5 : 5001 enodes (cost 82 ) 0.667 * [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))) 0.667 * * * [progress]: adding candidates to table 0.701 * * [progress]: iteration 3 / 4 0.701 * * * [progress]: picking best candidate 0.712 * * * * [pick]: Picked # 0.712 * * * [progress]: localizing error 0.725 * * * [progress]: generating rewritten candidates 0.725 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.726 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.727 * * * [progress]: generating series expansions 0.727 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.728 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in (v) around 0 0.728 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 0.728 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 0.730 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in (v) around 0 0.730 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 0.730 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 0.732 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in (v) around 0 0.732 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 0.733 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 0.734 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.734 * [approximate]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) in (v) around 0 0.734 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) in v 0.734 * [taylor]: Rewrote expression to (- (exp (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) 1) 0.735 * [taylor]: Taking taylor expansion of (exp (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) in v 0.735 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 0.735 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) 0.735 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 0.735 * [taylor]: Taking taylor expansion of 1 in v 0.735 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 0.736 * [taylor]: Taking taylor expansion of 1 in v 0.736 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) in v 0.736 * [taylor]: Rewrote expression to (- (exp (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) 1) 0.736 * [taylor]: Taking taylor expansion of (exp (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) in v 0.736 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 0.736 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) 0.736 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 0.736 * [taylor]: Taking taylor expansion of 1 in v 0.736 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 0.738 * [taylor]: Taking taylor expansion of 1 in v 0.787 * [approximate]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) in (v) around 0 0.787 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) in v 0.787 * [taylor]: Rewrote expression to (- (exp (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) 1) 0.787 * [taylor]: Taking taylor expansion of (exp (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) in v 0.787 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 0.787 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) 0.787 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 0.787 * [taylor]: Taking taylor expansion of 1 in v 0.787 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 0.789 * [taylor]: Taking taylor expansion of 1 in v 0.789 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) in v 0.789 * [taylor]: Rewrote expression to (- (exp (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) 1) 0.789 * [taylor]: Taking taylor expansion of (exp (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) in v 0.789 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 0.789 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))))) 0.789 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 0.789 * [taylor]: Taking taylor expansion of 1 in v 0.789 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 0.791 * [taylor]: Taking taylor expansion of 1 in v 0.836 * [approximate]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) in (v) around 0 0.836 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) in v 0.836 * [taylor]: Rewrote expression to (- (exp (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) 1) 0.836 * [taylor]: Taking taylor expansion of (exp (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) in v 0.836 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 0.837 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) 0.837 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 0.837 * [taylor]: Taking taylor expansion of 1 in v 0.837 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 0.838 * [taylor]: Taking taylor expansion of 1 in v 0.838 * [taylor]: Taking taylor expansion of (expm1 (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) in v 0.838 * [taylor]: Rewrote expression to (- (exp (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) 1) 0.838 * [taylor]: Taking taylor expansion of (exp (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) in v 0.838 * [taylor]: Taking taylor expansion of (log1p (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 0.838 * [taylor]: Rewrote expression to (log (+ 1 (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))))) 0.838 * [taylor]: Taking taylor expansion of (+ 1 (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 0.839 * [taylor]: Taking taylor expansion of 1 in v 0.839 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 0.840 * [taylor]: Taking taylor expansion of 1 in v 0.893 * * * [progress]: simplifying candidates 0.893 * [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)))) (exp (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (expm1 (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (log1p (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (log (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (exp (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (* (cbrt (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (cbrt (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))))) (cbrt (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (* (* (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (sqrt (expm1 (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (sqrt (expm1 (log1p (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))) (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))) 0.897 * * [simplify]: iteration 0 : 42 enodes (cost 187 ) 0.898 * * [simplify]: iteration 1 : 66 enodes (cost 165 ) 0.901 * * [simplify]: iteration 2 : 165 enodes (cost 165 ) 0.904 * * [simplify]: iteration 3 : 435 enodes (cost 165 ) 0.919 * * [simplify]: iteration 4 : 1921 enodes (cost 165 ) 0.991 * * [simplify]: iteration 5 : 5001 enodes (cost 165 ) 0.993 * [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)))) (exp (log1p (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (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)))) (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))) (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))) 0.993 * * * [progress]: adding candidates to table 1.049 * * [progress]: iteration 4 / 4 1.049 * * * [progress]: picking best candidate 1.060 * * * * [pick]: Picked # 1.060 * * * [progress]: localizing error 1.073 * * * [progress]: generating rewritten candidates 1.073 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.074 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.076 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.078 * * * [progress]: generating series expansions 1.078 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.079 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in (v) around 0 1.079 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.079 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.081 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in (v) around 0 1.081 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.081 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.083 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in (v) around 0 1.083 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.083 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.085 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.085 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in (v) around 0 1.085 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.085 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.087 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in (v) around 0 1.087 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.087 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.089 * [approximate]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in (v) around 0 1.089 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.089 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.091 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.091 * [approximate]: Taking taylor expansion of (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in (v) around 0 1.091 * [taylor]: Taking taylor expansion of (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 1.091 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.092 * [taylor]: Taking taylor expansion of (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) in v 1.092 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) in v 1.126 * [approximate]: Taking taylor expansion of (log (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in (v) around 0 1.126 * [taylor]: Taking taylor expansion of (log (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 1.126 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.127 * [taylor]: Taking taylor expansion of (log (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0)))) in v 1.127 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ 1 v) (/ 1 v) (pow (/ 1 v) 4)) (- 1.0))) in v 1.157 * [approximate]: Taking taylor expansion of (log (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in (v) around 0 1.157 * [taylor]: Taking taylor expansion of (log (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 1.157 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.158 * [taylor]: Taking taylor expansion of (log (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0)))) in v 1.158 * [taylor]: Taking taylor expansion of (acos (fma 4.0 (fma (/ -1 v) (/ -1 v) (pow (/ -1 v) 4)) (- 1.0))) in v 1.188 * * * [progress]: simplifying candidates 1.189 * [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)))) (expm1 (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (log1p (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (exp 1) (exp (* (cbrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))))) (exp (sqrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (exp 1) (exp (log (* (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))))))) (exp (log (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (exp (log (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (exp (log (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (exp (log 1)) (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (exp (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (* (cbrt (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (cbrt (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))))) (cbrt (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (* (* (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (sqrt (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (sqrt (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (expm1 (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log1p (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log (* (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)))))) (log (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log 1) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (exp (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (* (cbrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (cbrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (* (* (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (sqrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (sqrt (log (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))) (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))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) 1.193 * * [simplify]: iteration 0 : 70 enodes (cost 388 ) 1.195 * * [simplify]: iteration 1 : 116 enodes (cost 346 ) 1.198 * * [simplify]: iteration 2 : 246 enodes (cost 334 ) 1.202 * * [simplify]: iteration 3 : 702 enodes (cost 328 ) 1.228 * * [simplify]: iteration 4 : 4008 enodes (cost 328 ) 1.363 * * [simplify]: iteration 5 : 5001 enodes (cost 328 ) 1.365 * [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)))) (pow (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) 2) (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)))) (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)))) E (exp (* (cbrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))))) (exp (sqrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) E (pow (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) 2) (cbrt (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)))) 1 (acos (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)))) (pow (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) 2) (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)))) (expm1 (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log1p (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (* 2 (log (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (log (cbrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (log (sqrt (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) 0 (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))) (* (cbrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))) (cbrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (pow (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) 3) (sqrt (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (sqrt (log (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))) (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))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) (log (acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))) 1.366 * * * [progress]: adding candidates to table 1.475 * [progress]: [Phase 3 of 3] Extracting. 1.475 * * [regime]: Finding splitpoints for: (# # # # #) 1.476 * * * [regime-changes]: Trying 1 branch expressions: (v) 1.476 * * * * [regimes]: Trying to branch on v from (# # # # #) 1.503 * * * [regime]: Found split indices: #