11.067 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.229 * * * [progress]: [2/2] Setting up program. 0.232 * [progress]: [Phase 2 of 3] Improving. 0.232 * [simplify]: Simplifying using # : (pow (atan (fmod a (asin a))) (* a a)) 0.235 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.236 * * [simplify]: iteration 1 : 17 enodes (cost 5 ) 0.238 * * [simplify]: iteration 2 : 40 enodes (cost 5 ) 0.240 * * [simplify]: iteration 3 : 104 enodes (cost 5 ) 0.243 * * [simplify]: iteration 4 : 328 enodes (cost 5 ) 0.252 * * [simplify]: iteration 5 : 1906 enodes (cost 5 ) 0.287 * * [simplify]: iteration 6 : 5002 enodes (cost 5 ) 0.287 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 0.288 * * [progress]: iteration 1 / 4 0.288 * * * [progress]: picking best candidate 0.290 * * * * [pick]: Picked # 0.290 * * * [progress]: localizing error 0.298 * * * [progress]: generating rewritten candidates 0.298 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.300 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.300 * * * [progress]: generating series expansions 0.301 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.301 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 0.301 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 0.301 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 0.301 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 0.301 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.301 * [taylor]: Taking taylor expansion of a in a 0.301 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 0.301 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 0.302 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 0.302 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 0.302 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 0.302 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.302 * [taylor]: Taking taylor expansion of a in a 0.302 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 0.302 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 0.312 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 0.312 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 0.312 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 0.312 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.312 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.312 * [taylor]: Taking taylor expansion of a in a 0.313 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 0.313 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 0.313 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 0.313 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 0.313 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.314 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.314 * [taylor]: Taking taylor expansion of a in a 0.314 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 0.314 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 0.315 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 0.315 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 0.315 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 0.315 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.315 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.315 * [taylor]: Taking taylor expansion of a in a 0.316 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 0.316 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 0.317 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 0.317 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 0.317 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.317 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.317 * [taylor]: Taking taylor expansion of a in a 0.317 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 0.317 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 0.318 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.318 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 0.318 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 0.318 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 0.319 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 0.319 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 0.319 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 0.319 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 0.319 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 0.319 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 0.320 * * * [progress]: simplifying candidates 0.320 * [simplify]: Simplifying using # : (expm1 (pow (atan (fmod a (asin a))) (* a a))) (log1p (pow (atan (fmod a (asin a))) (* a a))) (* (log (atan (fmod a (asin a)))) (* a a)) (* (log (atan (fmod a (asin a)))) (* a a)) (* 1 (* a a)) (pow (atan (fmod a (asin a))) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a)) (pow (cbrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow 1 (* a a)) (pow (atan (fmod a (asin a))) (* a a)) (log (pow (atan (fmod a (asin a))) (* a a))) (exp (pow (atan (fmod a (asin a))) (* a a))) (* (cbrt (pow (atan (fmod a (asin a))) (* a a))) (cbrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (pow (atan (fmod a (asin a))) (* a a))) (* (* (pow (atan (fmod a (asin a))) (* a a)) (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (+ 1 (+ (* (pow a 2) (log (atan (fmod a (asin a))))) (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (pow (atan (fmod a (asin a))) (pow a 2)) (pow (atan (fmod a (asin a))) (pow a 2)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 0.323 * * [simplify]: iteration 0 : 101 enodes (cost 197 ) 0.326 * * [simplify]: iteration 1 : 351 enodes (cost 186 ) 0.333 * * [simplify]: iteration 2 : 1351 enodes (cost 186 ) 0.374 * * [simplify]: iteration 3 : 5001 enodes (cost 185 ) 0.375 * [simplify]: Simplified to: (expm1 (pow (atan (fmod a (asin a))) (* a a))) (log1p (pow (atan (fmod a (asin a))) (* a a))) (* (log (atan (fmod a (asin a)))) (* a a)) (* (log (atan (fmod a (asin a)))) (* a a)) (pow a 2) (pow (atan (fmod a (asin a))) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a)) (pow (cbrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) 1 (pow (atan (fmod a (asin a))) (pow a 2)) (* (log (atan (fmod a (asin a)))) (* a a)) (exp (pow (atan (fmod a (asin a))) (* a a))) (* (cbrt (pow (atan (fmod a (asin a))) (* a a))) (cbrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (pow (atan (fmod a (asin a))) (* a a))) (pow (pow (atan (fmod a (asin a))) (pow a 2)) 3) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (fma (log (atan (fmod a (asin a)))) (+ (pow a 2) (* (* 1/2 (pow a 4)) (log (atan (fmod a (asin a)))))) 1) (pow (atan (fmod a (asin a))) (pow a 2)) (pow (atan (fmod a (asin a))) (pow a 2)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 0.376 * * * [progress]: adding candidates to table 0.462 * * [progress]: iteration 2 / 4 0.462 * * * [progress]: picking best candidate 0.464 * * * * [pick]: Picked # 0.465 * * * [progress]: localizing error 0.475 * * * [progress]: generating rewritten candidates 0.475 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.476 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.477 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.477 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.486 * * * [progress]: generating series expansions 0.486 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.487 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 0.487 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 0.487 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 0.487 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 0.487 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.487 * [taylor]: Taking taylor expansion of a in a 0.487 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 0.487 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 0.488 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 0.488 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 0.488 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 0.488 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.488 * [taylor]: Taking taylor expansion of a in a 0.488 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 0.488 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 0.498 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 0.498 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 0.498 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 0.498 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.498 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.498 * [taylor]: Taking taylor expansion of a in a 0.499 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 0.499 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 0.500 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 0.500 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 0.500 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.500 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.500 * [taylor]: Taking taylor expansion of a in a 0.500 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 0.500 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 0.502 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 0.502 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 0.502 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 0.502 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.502 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.502 * [taylor]: Taking taylor expansion of a in a 0.502 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 0.502 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 0.503 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 0.503 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 0.503 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.503 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.503 * [taylor]: Taking taylor expansion of a in a 0.503 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 0.503 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 0.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.505 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 0.505 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 0.505 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 0.505 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 0.505 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 0.505 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 0.505 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 0.505 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 0.505 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 0.506 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.506 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 0.506 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 0.506 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 0.506 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 0.506 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 0.506 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 0.507 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 0.507 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 0.507 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 0.507 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.507 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 0.507 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 0.507 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 0.507 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 0.507 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 0.508 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 0.508 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 0.508 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 0.508 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 0.508 * * * [progress]: simplifying candidates 0.510 * [simplify]: Simplifying using # : (expm1 (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))) (log1p (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))) (* (log (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))))) (* a a)) (* (log (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))))) (* a a)) (* 1 (* a a)) (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) a) (pow (* (cbrt (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))))) (cbrt (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))))) (* a a)) (pow (cbrt (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))))) (* a a)) (pow (sqrt (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))))) (* a a)) (pow (sqrt (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))))) (* a a)) (pow 1 (* a a)) (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a)) (log (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))) (exp (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))) (* (cbrt (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))) (cbrt (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a)))) (cbrt (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))) (* (* (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a)) (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))) (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))) (sqrt (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))) (sqrt (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))) (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (/ (* a a) 2)) (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (/ (* a a) 2)) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (expm1 (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (log1p (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (fmod a (asin a)) (fmod a (asin a))) (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))) (* (fmod a (asin a)) (fmod a (asin a))) (+ 1 1) (+ (log (sqrt (fmod a (asin a)))) (log (sqrt (fmod a (asin a))))) (log (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (exp (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* (* (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))) (sqrt (fmod a (asin a)))) (* (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))) (sqrt (fmod a (asin a))))) (* (cbrt (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (cbrt (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))))) (cbrt (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* (* (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))) (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* (fmod a (asin a)) (fmod a (asin a))) (sqrt (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (sqrt (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* (* (cbrt (sqrt (fmod a (asin a)))) (cbrt (sqrt (fmod a (asin a))))) (* (cbrt (sqrt (fmod a (asin a)))) (cbrt (sqrt (fmod a (asin a)))))) (* (cbrt (sqrt (fmod a (asin a)))) (cbrt (sqrt (fmod a (asin a))))) (* (sqrt (* (cbrt (fmod a (asin a))) 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(asin a)))) (sqrt (sqrt (fmod a (asin a))))) (* (sqrt (sqrt (fmod a (asin a)))) (sqrt (sqrt (fmod a (asin a))))) (* (sqrt (sqrt (fmod a (asin a)))) (sqrt (sqrt (fmod a (asin a))))) (* (sqrt (sqrt (fmod a (asin a)))) (sqrt (sqrt (fmod a (asin a))))) (* (sqrt (sqrt (fmod a (asin a)))) (sqrt (sqrt (fmod a (asin a))))) (* (sqrt (sqrt (fmod a (asin a)))) (sqrt (sqrt (fmod a (asin a))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (fmod a (asin a))) (* (cbrt (sqrt (fmod a (asin a)))) (cbrt (sqrt (fmod a (asin a)))))) (* (sqrt (fmod a (asin a))) (sqrt (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))))) (* (sqrt (fmod a (asin a))) (sqrt (sqrt (fmod a (asin a))))) (* (sqrt (fmod a (asin a))) (sqrt 1)) (* (sqrt (fmod a (asin a))) (sqrt (sqrt (fmod a (asin a))))) (* (sqrt (fmod a (asin a))) 1) (* (cbrt (sqrt (fmod a (asin a)))) (sqrt (fmod a (asin a)))) (* (sqrt (cbrt (fmod a (asin a)))) (sqrt (fmod a (asin a)))) (* (sqrt (sqrt (fmod a (asin a)))) (sqrt (fmod a (asin a)))) (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))) (* (sqrt (sqrt (fmod a (asin a)))) (sqrt (fmod a (asin a)))) (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a)))) (+ 1 (+ (* (pow a 2) (log (atan (fmod a (asin a))))) (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (pow (atan (fmod a (asin a))) (pow a 2)) (pow (atan (fmod a (asin a))) (pow a 2)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 0.515 * * [simplify]: iteration 0 : 180 enodes (cost 560 ) 0.521 * * [simplify]: iteration 1 : 804 enodes (cost 490 ) 0.545 * * [simplify]: iteration 2 : 4759 enodes (cost 474 ) 0.745 * * [simplify]: iteration 3 : 5001 enodes (cost 474 ) 0.748 * [simplify]: Simplified to: (expm1 (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))) (log1p (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))) (* (pow a 2) (log (atan (fmod a (asin a))))) (* (pow a 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(fabs (pow (atan (fmod a (asin a))) (/ (pow a 2) 2))) (pow (atan (fmod a (asin a))) (/ (pow a 2) 2)) (pow (atan (fmod a (asin a))) (/ (pow a 2) 2)) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) 1 1 2 1 1 (pow (sqrt (fmod a (asin a))) 4) (fmod a (asin a)) (pow (sqrt (fmod a (asin a))) 4) 2 (log (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (pow (fmod a (asin a)) 3) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (pow (sqrt (fmod a (asin a))) 4) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (pow (cbrt (sqrt (fmod a (asin a)))) 4) (* (cbrt (sqrt (fmod a (asin a)))) (cbrt (sqrt (fmod a (asin a))))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) 1 (fmod a (asin a)) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) 1 (fmod a (asin a)) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) 1 2 1 (* (pow (cbrt (sqrt (fmod a (asin a)))) 4) (cbrt (sqrt (fmod a (asin a))))) (* (fabs (cbrt (fmod a (asin a)))) (sqrt (fmod a (asin a)))) (pow (sqrt (sqrt (fmod a (asin a)))) 3) (sqrt (fmod a (asin a))) (pow (sqrt (sqrt (fmod a (asin a)))) 3) (sqrt (fmod a (asin a))) (pow (cbrt (sqrt (fmod a (asin a)))) 4) (* (sqrt (cbrt (fmod a (asin a)))) (sqrt (fmod a (asin a)))) (pow (sqrt (sqrt (fmod a (asin a)))) 3) (fmod a (asin a)) (pow (sqrt (sqrt (fmod a (asin a)))) 3) (fmod a (asin a)) (+ (fma (pow a 2) (log (atan (fmod a (asin a)))) (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2)))) 1) (pow (atan (fmod a (asin a))) (pow a 2)) (pow (atan (fmod a (asin a))) (pow a 2)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 0.749 * * * [progress]: adding candidates to table 0.972 * [progress]: [Phase 3 of 3] Extracting. 0.975 * [simplify]: Simplifying using # : (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a)) 0.975 * * [simplify]: iteration 0 : 8 enodes (cost 10 ) 0.975 * [simplify]: Simplified to: (pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a)) 8.261 * [regime-testing]: End program error score: 30.562250539379704