82.160 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.277 * * * [progress]: [2/2] Setting up program. 0.285 * [progress]: [Phase 2 of 3] Improving. 0.286 * [simplify]: Simplifying: (pow (atan (fmod a (asin a))) (* a a)) 0.286 * * [simplify]: iteration 0: 6 enodes 0.288 * * [simplify]: iteration 1: 10 enodes 0.291 * * [simplify]: iteration 2: 17 enodes 0.297 * * [simplify]: iteration 3: 41 enodes 0.314 * * [simplify]: iteration 4: 101 enodes 0.377 * * [simplify]: iteration 5: 241 enodes 0.759 * * [simplify]: iteration 6: 1190 enodes 1.678 * * [simplify]: iteration complete: 5003 enodes 1.678 * * [simplify]: Extracting #0: cost 1 inf + 0 1.678 * * [simplify]: Extracting #1: cost 52 inf + 0 1.679 * * [simplify]: Extracting #2: cost 506 inf + 1 1.685 * * [simplify]: Extracting #3: cost 2042 inf + 5593 1.710 * * [simplify]: Extracting #4: cost 840 inf + 110011 1.762 * * [simplify]: Extracting #5: cost 265 inf + 193879 1.846 * * [simplify]: Extracting #6: cost 69 inf + 408116 1.974 * * [simplify]: Extracting #7: cost 0 inf + 493721 2.074 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 2.076 * * [progress]: iteration 1 / 4 2.076 * * * [progress]: picking best candidate 2.084 * * * * [pick]: Picked # 2.084 * * * [progress]: localizing error 2.106 * * * [progress]: generating rewritten candidates 2.106 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.109 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 2.110 * * * [progress]: generating series expansions 2.110 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.110 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (* a a)) into (pow (atan (fmod a (asin a))) (pow a 2)) 2.110 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 2.110 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 2.110 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 2.110 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 2.110 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.110 * [taylor]: Taking taylor expansion of a in a 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.111 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 2.111 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 2.111 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 2.111 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 2.111 * [backup-simplify]: Simplify (* 1 1) into 1 2.112 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 2.112 * [backup-simplify]: Simplify (exp 0) into 1 2.112 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 2.112 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 2.112 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 2.112 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.112 * [taylor]: Taking taylor expansion of a in a 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 2.112 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 2.112 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 2.112 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 2.112 * [backup-simplify]: Simplify (* 1 1) into 1 2.112 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 2.113 * [backup-simplify]: Simplify (exp 0) into 1 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (log (atan (fmod a (asin a)))) 1) 1)))) into (log (atan (fmod a (asin a)))) 2.114 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 2.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 2.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 2.118 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (log (atan (fmod a (asin a)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (fmod a (asin a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 2) into 0 2.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 2.126 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (log (atan (fmod a (asin a)))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (log (atan (fmod a (asin a)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) 2.126 * [backup-simplify]: Simplify (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) 2.127 * [backup-simplify]: Simplify (+ (* (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) (pow a 4)) (+ (* (log (atan (fmod a (asin a)))) (pow a 2)) 1)) into (+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a))))))) 2.134 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (* (/ 1 a) (/ 1 a))) into (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) 2.134 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 2.134 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 2.134 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 2.134 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 2.134 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.134 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.134 * [taylor]: Taking taylor expansion of a in a 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (/ 1 1) into 1 2.135 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 2.135 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 2.136 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 2.136 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 2.136 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 2.136 * [backup-simplify]: Simplify (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2))) 2.136 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 2.136 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 2.136 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 2.136 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.137 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.137 * [taylor]: Taking taylor expansion of a in a 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (* 1 1) into 1 2.138 * [backup-simplify]: Simplify (/ 1 1) into 1 2.138 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 2.138 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 2.138 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 2.138 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 2.138 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 2.139 * [backup-simplify]: Simplify (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2))) 2.139 * [backup-simplify]: Simplify (exp (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2))) into (exp (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2))) 2.139 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (exp (/ (log (atan (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))))) (pow (/ 1 a) 2))) into (pow (atan (fmod a (asin a))) (pow a 2)) 2.140 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 (- a)) (asin (/ 1 (- a))))) (* (/ 1 (- a)) (/ 1 (- a)))) into (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) 2.141 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 2.141 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 2.141 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 2.141 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.141 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.141 * [taylor]: Taking taylor expansion of a in a 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (* 1 1) into 1 2.142 * [backup-simplify]: Simplify (/ 1 1) into 1 2.142 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 2.142 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 2.142 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 2.142 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 2.142 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 2.143 * [backup-simplify]: Simplify (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2))) 2.143 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 2.143 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 2.143 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 2.143 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.143 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.143 * [taylor]: Taking taylor expansion of a in a 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (* 1 1) into 1 2.144 * [backup-simplify]: Simplify (/ 1 1) into 1 2.144 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 2.144 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 2.144 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 2.145 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 2.145 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 2.145 * [backup-simplify]: Simplify (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2))) 2.146 * [backup-simplify]: Simplify (exp (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2))) into (exp (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2))) 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify (exp (/ (log (atan (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))))) (pow (/ 1 (- a)) 2))) into (pow (atan (fmod a (asin a))) (pow a 2)) 2.146 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 2.147 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 2.147 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 2.147 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 2.147 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 2.147 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 2.147 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 2.147 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 2.147 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 2.148 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 2.148 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 2.148 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 2.148 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 2.148 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 2.148 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 2.149 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 2.149 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 2.149 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 2.149 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 2.149 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 2.149 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 2.149 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 2.150 * * * [progress]: simplifying candidates 2.151 * [simplify]: Simplifying: (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))) (+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a))))))) (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)) 2.151 * * [simplify]: iteration 0: 50 enodes 2.171 * * [simplify]: iteration 1: 113 enodes 2.224 * * [simplify]: iteration 2: 274 enodes 2.418 * * [simplify]: iteration 3: 1058 enodes 3.577 * * [simplify]: iteration 4: 3514 enodes 5.382 * * [simplify]: iteration complete: 5001 enodes 5.382 * * [simplify]: Extracting #0: cost 26 inf + 0 5.383 * * [simplify]: Extracting #1: cost 313 inf + 1 5.390 * * [simplify]: Extracting #2: cost 941 inf + 1339 5.407 * * [simplify]: Extracting #3: cost 786 inf + 19185 5.420 * * [simplify]: Extracting #4: cost 566 inf + 59452 5.469 * * [simplify]: Extracting #5: cost 238 inf + 287514 5.569 * * [simplify]: Extracting #6: cost 27 inf + 448082 5.707 * * [simplify]: Extracting #7: cost 0 inf + 466696 5.805 * * [simplify]: Extracting #8: cost 0 inf + 466037 5.909 * [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) (* 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)) 1 (pow (atan (fmod a (asin a))) (* a a)) (* (* (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 (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))) (+ (fma (* 1/2 (* (* (log (atan (fmod a (asin a)))) a) a)) (* (* (log (atan (fmod a (asin a)))) a) a) (* (* (log (atan (fmod a (asin a)))) a) a)) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (atan (fmod a (asin a))) (* a a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 5.911 * * * [progress]: adding candidates to table 6.131 * * [progress]: iteration 2 / 4 6.131 * * * [progress]: picking best candidate 6.140 * * * * [pick]: Picked # 6.140 * * * [progress]: localizing error 6.187 * * * [progress]: generating rewritten candidates 6.187 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.191 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.195 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 6.195 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 6.196 * * * [progress]: generating series expansions 6.196 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.197 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 6.197 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 6.197 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 6.197 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 6.197 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 6.197 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 6.197 * [taylor]: Taking taylor expansion of 1/2 in a 6.197 * [backup-simplify]: Simplify 1/2 into 1/2 6.197 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.197 * [taylor]: Taking taylor expansion of a in a 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 1 into 1 6.197 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 6.197 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 6.197 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 6.197 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 6.198 * [backup-simplify]: Simplify (* 1 1) into 1 6.198 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.198 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 6.198 * [backup-simplify]: Simplify (exp 0) into 1 6.198 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 6.198 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 6.198 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 6.198 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 6.198 * [taylor]: Taking taylor expansion of 1/2 in a 6.198 * [backup-simplify]: Simplify 1/2 into 1/2 6.198 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.198 * [taylor]: Taking taylor expansion of a in a 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 1 into 1 6.198 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 6.198 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 6.199 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 6.199 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 6.199 * [backup-simplify]: Simplify (* 1 1) into 1 6.199 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.199 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 6.199 * [backup-simplify]: Simplify (exp 0) into 1 6.200 * [backup-simplify]: Simplify 1 into 1 6.200 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 6.200 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)))) into (* 1/2 (log (atan (fmod a (asin a))))) 6.201 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 6.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 6.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 6.205 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.205 * [backup-simplify]: Simplify 0 into 0 6.206 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (fmod a (asin a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 2) into 0 6.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 6.212 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 6.212 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 6.213 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) (pow a 4)) (+ (* (* 1/2 (log (atan (fmod a (asin a))))) (pow a 2)) 1)) into (+ (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))))) 6.214 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ (* (/ 1 a) (/ 1 a)) 2)) into (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) 6.214 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 6.214 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 6.214 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 6.214 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 6.214 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.214 * [taylor]: Taking taylor expansion of 1/2 in a 6.214 * [backup-simplify]: Simplify 1/2 into 1/2 6.214 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.214 * [taylor]: Taking taylor expansion of a in a 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 1 into 1 6.215 * [backup-simplify]: Simplify (* 1 1) into 1 6.215 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.215 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 6.215 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 6.216 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 6.216 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 6.216 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 6.216 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 6.217 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 6.217 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 6.217 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 6.217 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.217 * [taylor]: Taking taylor expansion of 1/2 in a 6.217 * [backup-simplify]: Simplify 1/2 into 1/2 6.217 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.217 * [taylor]: Taking taylor expansion of a in a 6.217 * [backup-simplify]: Simplify 0 into 0 6.217 * [backup-simplify]: Simplify 1 into 1 6.217 * [backup-simplify]: Simplify (* 1 1) into 1 6.218 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.218 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 6.218 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 6.218 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 6.219 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 6.219 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 6.219 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 6.220 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))))) (pow (/ 1 a) 2)))) into (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) 6.221 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 (- a)) (asin (/ 1 (- a))))) (/ (* (/ 1 (- a)) (/ 1 (- a))) 2)) into (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) 6.221 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 6.221 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 6.221 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 6.221 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 6.221 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.221 * [taylor]: Taking taylor expansion of 1/2 in a 6.221 * [backup-simplify]: Simplify 1/2 into 1/2 6.221 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.221 * [taylor]: Taking taylor expansion of a in a 6.221 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify 1 into 1 6.222 * [backup-simplify]: Simplify (* 1 1) into 1 6.223 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.223 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 6.223 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 6.223 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 6.223 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 6.223 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 6.224 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 6.224 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 6.224 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 6.224 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 6.224 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.224 * [taylor]: Taking taylor expansion of 1/2 in a 6.224 * [backup-simplify]: Simplify 1/2 into 1/2 6.224 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.224 * [taylor]: Taking taylor expansion of a in a 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify 1 into 1 6.225 * [backup-simplify]: Simplify (* 1 1) into 1 6.226 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.226 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 6.226 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 6.226 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 6.226 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 6.226 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 6.227 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 6.227 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))))) (pow (/ 1 (- a)) 2)))) into (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) 6.228 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.228 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 6.229 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 6.229 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 6.229 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 6.229 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 6.229 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 6.229 * [taylor]: Taking taylor expansion of 1/2 in a 6.229 * [backup-simplify]: Simplify 1/2 into 1/2 6.229 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.229 * [taylor]: Taking taylor expansion of a in a 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 1 into 1 6.229 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 6.229 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 6.229 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 6.229 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 6.230 * [backup-simplify]: Simplify (* 1 1) into 1 6.231 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.231 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 6.231 * [backup-simplify]: Simplify (exp 0) into 1 6.231 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 6.231 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 6.231 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 6.231 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 6.231 * [taylor]: Taking taylor expansion of 1/2 in a 6.231 * [backup-simplify]: Simplify 1/2 into 1/2 6.231 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.231 * [taylor]: Taking taylor expansion of a in a 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 1 into 1 6.231 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 6.231 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 6.231 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 6.231 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 6.232 * [backup-simplify]: Simplify (* 1 1) into 1 6.232 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.233 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 6.233 * [backup-simplify]: Simplify (exp 0) into 1 6.233 * [backup-simplify]: Simplify 1 into 1 6.234 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 6.234 * [backup-simplify]: Simplify 0 into 0 6.236 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)))) into (* 1/2 (log (atan (fmod a (asin a))))) 6.236 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 6.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 6.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 6.242 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.242 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (fmod a (asin a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 2) into 0 6.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 6.247 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 6.247 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 6.248 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) (pow a 4)) (+ (* (* 1/2 (log (atan (fmod a (asin a))))) (pow a 2)) 1)) into (+ (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))))) 6.248 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ (* (/ 1 a) (/ 1 a)) 2)) into (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) 6.248 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 6.248 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 6.248 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 6.248 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 6.248 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.248 * [taylor]: Taking taylor expansion of 1/2 in a 6.248 * [backup-simplify]: Simplify 1/2 into 1/2 6.248 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.248 * [taylor]: Taking taylor expansion of a in a 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify 1 into 1 6.248 * [backup-simplify]: Simplify (* 1 1) into 1 6.249 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.249 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 6.249 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 6.249 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 6.249 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 6.249 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 6.249 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 6.250 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 6.250 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 6.250 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 6.250 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.250 * [taylor]: Taking taylor expansion of 1/2 in a 6.250 * [backup-simplify]: Simplify 1/2 into 1/2 6.250 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.250 * [taylor]: Taking taylor expansion of a in a 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 1 into 1 6.250 * [backup-simplify]: Simplify (* 1 1) into 1 6.251 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.251 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 6.251 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 6.251 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 6.251 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 6.251 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 6.251 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 6.251 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))))) (pow (/ 1 a) 2)))) into (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) 6.252 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 (- a)) (asin (/ 1 (- a))))) (/ (* (/ 1 (- a)) (/ 1 (- a))) 2)) into (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) 6.252 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 6.252 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 6.252 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 6.252 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 6.252 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.252 * [taylor]: Taking taylor expansion of 1/2 in a 6.252 * [backup-simplify]: Simplify 1/2 into 1/2 6.252 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.252 * [taylor]: Taking taylor expansion of a in a 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.253 * [backup-simplify]: Simplify (* 1 1) into 1 6.253 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.253 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 6.253 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 6.253 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 6.253 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 6.254 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 6.254 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 6.254 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 6.254 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 6.254 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 6.254 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.254 * [taylor]: Taking taylor expansion of 1/2 in a 6.254 * [backup-simplify]: Simplify 1/2 into 1/2 6.254 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.254 * [taylor]: Taking taylor expansion of a in a 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.254 * [backup-simplify]: Simplify (* 1 1) into 1 6.255 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.255 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 6.255 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 6.255 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 6.255 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 6.255 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 6.255 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 6.256 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))))) (pow (/ 1 (- a)) 2)))) into (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) 6.256 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 6.256 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 6.256 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 6.256 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 6.256 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 6.256 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 6.256 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 6.257 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 6.257 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 6.257 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 6.257 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 6.257 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 6.257 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 6.257 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 6.257 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 6.258 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 6.258 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 6.258 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 6.258 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 6.258 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 6.258 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 6.258 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 6.258 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 6.258 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 6.258 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 6.258 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 6.258 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 6.258 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 6.258 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 6.259 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 6.259 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 6.259 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 6.259 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 6.259 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 6.259 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 6.259 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 6.259 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 6.260 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 6.260 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 6.260 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 6.260 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 6.260 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 6.260 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 6.260 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 6.260 * * * [progress]: simplifying candidates 6.261 * [simplify]: Simplifying: (expm1 (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (log1p (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) (/ a 1)) (pow (atan (fmod a (asin a))) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (exp (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2)))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (* (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (expm1 (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (log1p (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) (/ a 1)) (pow (atan (fmod a (asin a))) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (exp (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2)))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (* (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (pow (atan (fmod a (asin a))) (/ (/ (* a 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))) (* (* (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))) (+ (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (+ (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (exp (* 1/2 (* (pow a 2) (log (atan (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)) 6.262 * * [simplify]: iteration 0: 68 enodes 6.293 * * [simplify]: iteration 1: 166 enodes 6.345 * * [simplify]: iteration 2: 416 enodes 6.565 * * [simplify]: iteration 3: 1432 enodes 8.169 * * [simplify]: iteration 4: 4434 enodes 9.509 * * [simplify]: iteration complete: 5000 enodes 9.509 * * [simplify]: Extracting #0: cost 32 inf + 0 9.510 * * [simplify]: Extracting #1: cost 434 inf + 1 9.515 * * [simplify]: Extracting #2: cost 1083 inf + 6777 9.535 * * [simplify]: Extracting #3: cost 951 inf + 117045 9.623 * * [simplify]: Extracting #4: cost 309 inf + 382400 9.766 * * [simplify]: Extracting #5: cost 46 inf + 551473 9.863 * * [simplify]: Extracting #6: cost 0 inf + 590319 9.982 * * [simplify]: Extracting #7: cost 0 inf + 590194 10.116 * [simplify]: Simplified to: (expm1 (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a))) (log1p (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a))) (* (* (log (sqrt (atan (fmod a (asin a))))) a) a) (* (* (log (sqrt (atan (fmod a (asin a))))) a) a) (/ a (/ 2 a)) (pow (atan (fmod a (asin a))) (* (cbrt (/ a (/ 2 a))) (cbrt (/ a (/ 2 a))))) (pow (atan (fmod a (asin a))) (sqrt (/ a (/ 2 a)))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) a) (atan (fmod a (asin a))) (exp (* a (* a (log (atan (fmod a (asin a))))))) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ a (/ 2 a))) (pow (cbrt (atan (fmod a (asin a)))) (/ a (/ 2 a))) (pow (sqrt (atan (fmod a (asin a)))) (/ a (/ 2 a))) (pow (sqrt (atan (fmod a (asin a)))) (/ a (/ 2 a))) 1 (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a)) (* (* (log (sqrt (atan (fmod a (asin a))))) a) a) (exp (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a))) (* (cbrt (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a))) (cbrt (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a)))) (cbrt (exp (* (* (log (sqrt (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 (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a))) (sqrt (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a))) (pow (atan (fmod a (asin a))) (* (/ a 4) a)) (pow (atan (fmod a (asin a))) (* (/ a 4) a)) (expm1 (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a))) (log1p (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a))) (* (* (log (sqrt (atan (fmod a (asin a))))) a) a) (* (* (log (sqrt (atan (fmod a (asin a))))) a) a) (/ a (/ 2 a)) (pow (atan (fmod a (asin a))) (* (cbrt (/ a (/ 2 a))) (cbrt (/ a (/ 2 a))))) (pow (atan (fmod a (asin a))) (sqrt (/ a (/ 2 a)))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) a) (atan (fmod a (asin a))) (exp (* a (* a (log (atan (fmod a (asin a))))))) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ a (/ 2 a))) (pow (cbrt (atan (fmod a (asin a)))) (/ a (/ 2 a))) (pow (sqrt (atan (fmod a (asin a)))) (/ a (/ 2 a))) (pow (sqrt (atan (fmod a (asin a)))) (/ a (/ 2 a))) 1 (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a)) (* (* (log (sqrt (atan (fmod a (asin a))))) a) a) (exp (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a))) (* (cbrt (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a))) (cbrt (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a)))) (cbrt (exp (* (* (log (sqrt (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 (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a))) (sqrt (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a))) (pow (atan (fmod a (asin a))) (* (/ a 4) a)) (pow (atan (fmod a (asin a))) (* (/ a 4) 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 (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))) (fma (* a (* a (log (atan (fmod a (asin a)))))) 1/2 (fma (* (* a (* a (log (atan (fmod a (asin a)))))) (* a (* a (log (atan (fmod a (asin a))))))) 1/8 1)) (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a)) (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a)) (fma (* a (* a (log (atan (fmod a (asin a)))))) 1/2 (fma (* (* a (* a (log (atan (fmod a (asin a)))))) (* a (* a (log (atan (fmod a (asin a))))))) 1/8 1)) (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) a)) (exp (* (* (log (sqrt (atan (fmod a (asin a))))) a) 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)) 10.126 * * * [progress]: adding candidates to table 10.697 * [progress]: [Phase 3 of 3] Extracting. 10.703 * [simplify]: Simplifying: (* (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) 10.703 * * [simplify]: iteration 0: 9 enodes 10.704 * * [simplify]: iteration complete: 9 enodes 10.704 * * [simplify]: Extracting #0: cost 1 inf + 0 10.704 * * [simplify]: Extracting #1: cost 2 inf + 0 10.704 * * [simplify]: Extracting #2: cost 4 inf + 0 10.704 * * [simplify]: Extracting #3: cost 7 inf + 0 10.704 * * [simplify]: Extracting #4: cost 8 inf + 1 10.704 * * [simplify]: Extracting #5: cost 7 inf + 2 10.705 * * [simplify]: Extracting #6: cost 0 inf + 1872 10.705 * [simplify]: Simplified to: (* (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) 21.422 * [regime-testing]: Baseline error score: 31.269448081407145 21.432 * [regime-testing]: Oracle error score: 31.269448081407145 21.432 * [regime-testing]: End program error score: 31.269448081407145