* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 266 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing 266 additional correct outputs * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 198 additional inputs, on iter 1 have 68 / 256 * * * * [misc]points: Computing 198 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 150 additional inputs, on iter 2 have 116 / 256 * * * * [misc]points: Computing 150 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 109 additional inputs, on iter 3 have 157 / 256 * * * * [misc]points: Computing 109 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 83 additional inputs, on iter 4 have 183 / 256 * * * * [misc]points: Computing 83 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 58 additional inputs, on iter 5 have 208 / 256 * * * * [misc]points: Computing 58 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 36 additional inputs, on iter 6 have 230 / 256 * * * * [misc]points: Computing 36 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 27 additional inputs, on iter 7 have 239 / 256 * * * * [misc]points: Computing 27 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 20 additional inputs, on iter 8 have 246 / 256 * * * * [misc]points: Computing 20 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 15 additional inputs, on iter 9 have 251 / 256 * * * * [misc]points: Computing 15 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (fmod a (asin a)) in a * [misc]backup-simplify: Simplify (fmod a (asin a)) into (fmod a (asin a)) * [misc]taylor: Taking taylor expansion of (fmod a (asin a)) in a * [misc]backup-simplify: Simplify (fmod a (asin a)) into (fmod a (asin a)) * [misc]backup-simplify: Simplify (fmod a (asin a)) into (fmod a (asin a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fmod a (asin a)) into (fmod a (asin a)) * [misc]approximate: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a * [misc]backup-simplify: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a * [misc]backup-simplify: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) * [misc]backup-simplify: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) * [misc]approximate: Taking taylor expansion of (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) in a * [misc]backup-simplify: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) * [misc]taylor: Taking taylor expansion of (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) in a * [misc]backup-simplify: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) * [misc]backup-simplify: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (asin a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (asin a) in a * [misc]backup-simplify: Simplify (asin a) into (asin a) * [misc]taylor: Taking taylor expansion of (asin a) in a * [misc]backup-simplify: Simplify (asin a) into (asin a) * [misc]backup-simplify: Simplify (asin a) into (asin a) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin a) into (asin a) * [misc]approximate: Taking taylor expansion of (asin (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (asin (/ 1 a)) in a * [misc]backup-simplify: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (asin (/ 1 a)) in a * [misc]backup-simplify: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) * [misc]backup-simplify: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (/ 1 (/ 1 a))) into (asin a) * [misc]approximate: Taking taylor expansion of (asin (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (asin (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (asin (/ 1 (- a))) into (asin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (asin (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (asin (/ 1 (- a))) into (asin (/ -1 a)) * [misc]backup-simplify: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (/ -1 (/ 1 (- a)))) into (asin a) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fmod a (asin a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (fmod a (asin a))) * [exit]simplify: Simplified to (log (fmod a (asin a))) * * * * [misc]progress: [ 3 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fmod a (asin a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (fmod a (asin a))) * [exit]simplify: Simplified to (exp (fmod a (asin a))) * * * * [misc]progress: [ 4 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) * [exit]simplify: Simplified to (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) * [enter]simplify: Simplifying (cbrt (fmod a (asin a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (fmod a (asin a))) * [exit]simplify: Simplified to (cbrt (fmod a (asin a))) * * * * [misc]progress: [ 5 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (pow (fmod a (asin a)) 3) * [exit]simplify: Simplified to (pow (fmod a (asin a)) 3) * * * * [misc]progress: [ 6 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fmod a (asin a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (fmod a (asin a))) * [exit]simplify: Simplified to (sqrt (fmod a (asin a))) * [enter]simplify: Simplifying (sqrt (fmod a (asin a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (fmod a (asin a))) * [exit]simplify: Simplified to (sqrt (fmod a (asin a))) * * * * [misc]progress: [ 7 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (acos a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (acos a) * [exit]simplify: Simplified to (acos a) * * * * [misc]progress: [ 9 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (log (asin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (asin a)) * [exit]simplify: Simplified to (log (asin a)) * * * * [misc]progress: [ 11 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (asin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (asin a)) * [exit]simplify: Simplified to (exp (asin a)) * * * * [misc]progress: [ 12 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (asin a)) (cbrt (asin a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (asin a)) (cbrt (asin a))) * [exit]simplify: Simplified to (* (cbrt (asin a)) (cbrt (asin a))) * [enter]simplify: Simplifying (cbrt (asin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (asin a)) * [exit]simplify: Simplified to (cbrt (asin a)) * * * * [misc]progress: [ 13 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (asin a) (asin a)) (asin a)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (pow (asin a) 3) * [exit]simplify: Simplified to (pow (asin a) 3) * * * * [misc]progress: [ 14 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (asin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (asin a)) * [exit]simplify: Simplified to (sqrt (asin a)) * [enter]simplify: Simplifying (sqrt (asin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (asin a)) * [exit]simplify: Simplified to (sqrt (asin a)) * * * * [misc]progress: [ 15 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 17 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 18 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 19 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 20 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 21 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (fmod a (exp (log (asin a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (fmod a (exp (log (asin a)))) in a * [misc]backup-simplify: Simplify (fmod a (exp (log (asin a)))) into (fmod a (asin a)) * [misc]taylor: Taking taylor expansion of (fmod a (exp (log (asin a)))) in a * [misc]backup-simplify: Simplify (fmod a (exp (log (asin a)))) into (fmod a (asin a)) * [misc]backup-simplify: Simplify (fmod a (asin a)) into (fmod a (asin a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fmod a (asin a)) into (fmod a (asin a)) * [misc]approximate: Taking taylor expansion of (fmod (/ 1 a) (exp (log (asin (/ 1 a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (fmod (/ 1 a) (exp (log (asin (/ 1 a))))) in a * [misc]backup-simplify: Simplify (fmod (/ 1 a) (exp (log (asin (/ 1 a))))) into (fmod (/ 1 a) (asin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (fmod (/ 1 a) (exp (log (asin (/ 1 a))))) in a * [misc]backup-simplify: Simplify (fmod (/ 1 a) (exp (log (asin (/ 1 a))))) into (fmod (/ 1 a) (asin (/ 1 a))) * [misc]backup-simplify: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) * [misc]approximate: Taking taylor expansion of (fmod (/ 1 (- a)) (exp (log (asin (/ 1 (- a)))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (fmod (/ 1 (- a)) (exp (log (asin (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (fmod (/ 1 (- a)) (exp (log (asin (/ 1 (- a)))))) into (fmod (/ -1 a) (asin (/ -1 a))) * [misc]taylor: Taking taylor expansion of (fmod (/ 1 (- a)) (exp (log (asin (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (fmod (/ 1 (- a)) (exp (log (asin (/ 1 (- a)))))) into (fmod (/ -1 a) (asin (/ -1 a))) * [misc]backup-simplify: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (exp (log (asin a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (asin a))) in a * [misc]taylor: Taking taylor expansion of (log (asin a)) in a * [misc]taylor: Taking taylor expansion of (asin a) in a * [misc]backup-simplify: Simplify (asin a) into (asin a) * [misc]backup-simplify: Simplify (log (asin a)) into (log (asin a)) * [misc]backup-simplify: Simplify (exp (log (asin a))) into (asin a) * [misc]taylor: Taking taylor expansion of (exp (log (asin a))) in a * [misc]taylor: Taking taylor expansion of (log (asin a)) in a * [misc]taylor: Taking taylor expansion of (asin a) in a * [misc]backup-simplify: Simplify (asin a) into (asin a) * [misc]backup-simplify: Simplify (log (asin a)) into (log (asin a)) * [misc]backup-simplify: Simplify (exp (log (asin a))) into (asin a) * [misc]backup-simplify: Simplify (asin a) into (asin a) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (asin a) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (asin a) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (asin a) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (asin a) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (asin a) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (asin a) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (asin a) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (asin a) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (asin a) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (asin a) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (asin a) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin a))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (asin a) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (asin a) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (asin a) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (asin a) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (asin a) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (asin a) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (asin a) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin a))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (asin a) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (asin a) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (asin a) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (asin a) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (asin a) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (asin a) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (asin a) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (asin a) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (asin a) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (asin a) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (asin a) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin a))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin a) into (asin a) * [misc]approximate: Taking taylor expansion of (exp (log (asin (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (asin (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (log (asin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (asin (/ 1 a)) in a * [misc]backup-simplify: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) * [misc]backup-simplify: Simplify (log (asin (/ 1 a))) into (log (asin (/ 1 a))) * [misc]backup-simplify: Simplify (exp (log (asin (/ 1 a)))) into (asin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (exp (log (asin (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (log (asin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (asin (/ 1 a)) in a * [misc]backup-simplify: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) * [misc]backup-simplify: Simplify (log (asin (/ 1 a))) into (log (asin (/ 1 a))) * [misc]backup-simplify: Simplify (exp (log (asin (/ 1 a)))) into (asin (/ 1 a)) * [misc]backup-simplify: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (asin (/ 1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin (/ 1 a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (asin (/ 1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (asin (/ 1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin (/ 1 a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (asin (/ 1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (asin (/ 1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (asin (/ 1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin (/ 1 a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (asin (/ 1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (asin (/ 1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (asin (/ 1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (asin (/ 1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (asin (/ 1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin (/ 1 a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (asin (/ 1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (asin (/ 1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (asin (/ 1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (asin (/ 1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (asin (/ 1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (asin (/ 1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (asin (/ 1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin (/ 1 a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (asin (/ 1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (asin (/ 1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (asin (/ 1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (asin (/ 1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (asin (/ 1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (asin (/ 1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (asin (/ 1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (asin (/ 1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (asin (/ 1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (asin (/ 1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (asin (/ 1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin (/ 1 a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (/ 1 (/ 1 a))) into (asin a) * [misc]approximate: Taking taylor expansion of (exp (log (asin (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (asin (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (log (asin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (asin (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (asin (/ 1 (- a))) into (asin (/ -1 a)) * [misc]backup-simplify: Simplify (log (asin (/ -1 a))) into (log (asin (/ -1 a))) * [misc]backup-simplify: Simplify (exp (log (asin (/ -1 a)))) into (asin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (exp (log (asin (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (log (asin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (asin (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (asin (/ 1 (- a))) into (asin (/ -1 a)) * [misc]backup-simplify: Simplify (log (asin (/ -1 a))) into (log (asin (/ -1 a))) * [misc]backup-simplify: Simplify (exp (log (asin (/ -1 a)))) into (asin (/ -1 a)) * [misc]backup-simplify: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (asin (/ -1 a)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin (/ -1 a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (asin (/ -1 a)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (asin (/ -1 a)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin (/ -1 a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (asin (/ -1 a)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (asin (/ -1 a)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (asin (/ -1 a)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin (/ -1 a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (asin (/ -1 a)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (asin (/ -1 a)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (asin (/ -1 a)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (asin (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (asin (/ -1 a)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin (/ -1 a)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (asin (/ -1 a)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (asin (/ -1 a)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (asin (/ -1 a)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (asin (/ -1 a)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (asin (/ -1 a)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (asin (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (asin (/ -1 a)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin (/ -1 a)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (asin (/ -1 a)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (asin (/ -1 a)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (asin (/ -1 a)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (asin (/ -1 a)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (asin (/ -1 a)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (asin (/ -1 a)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (asin (/ -1 a)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (asin (/ -1 a)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (asin (/ -1 a)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (asin (/ -1 a)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (asin (/ -1 a)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (asin (/ -1 a)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (/ -1 (/ 1 (- a)))) into (asin a) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1 2 1 1) * [misc]approximate: Taking taylor expansion of (asin a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (asin a) in a * [misc]backup-simplify: Simplify (asin a) into (asin a) * [misc]taylor: Taking taylor expansion of (asin a) in a * [misc]backup-simplify: Simplify (asin a) into (asin a) * [misc]backup-simplify: Simplify (asin a) into (asin a) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin a) into (asin a) * [misc]approximate: Taking taylor expansion of (asin (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (asin (/ 1 a)) in a * [misc]backup-simplify: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (asin (/ 1 a)) in a * [misc]backup-simplify: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) * [misc]backup-simplify: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (/ 1 (/ 1 a))) into (asin a) * [misc]approximate: Taking taylor expansion of (asin (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (asin (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (asin (/ 1 (- a))) into (asin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (asin (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (asin (/ 1 (- a))) into (asin (/ -1 a)) * [misc]backup-simplify: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (/ -1 (/ 1 (- a)))) into (asin a) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fmod a (exp (log (asin a))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (log (fmod a (asin a))) * [exit]simplify: Simplified to (log (fmod a (asin a))) * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fmod a (exp (log (asin a))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (exp (fmod a (asin a))) * [exit]simplify: Simplified to (exp (fmod a (asin a))) * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fmod a (exp (log (asin a))))) (cbrt (fmod a (exp (log (asin a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) * [exit]simplify: Simplified to (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) * [enter]simplify: Simplifying (cbrt (fmod a (exp (log (asin a))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (fmod a (asin a))) * [exit]simplify: Simplified to (cbrt (fmod a (asin a))) * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fmod a (exp (log (asin a)))) (fmod a (exp (log (asin a))))) (fmod a (exp (log (asin a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (fmod a (asin a)) 3) * [exit]simplify: Simplified to (pow (fmod a (asin a)) 3) * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fmod a (exp (log (asin a))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (fmod a (asin a))) * [exit]simplify: Simplified to (sqrt (fmod a (asin a))) * [enter]simplify: Simplifying (sqrt (fmod a (exp (log (asin a))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (fmod a (asin a))) * [exit]simplify: Simplified to (sqrt (fmod a (asin a))) * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (log (asin a))) (cbrt (log (asin a))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (log (asin a))) (cbrt (log (asin a))))) * [exit]simplify: Simplified to (exp (* (cbrt (log (asin a))) (cbrt (log (asin a))))) * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (log (asin a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (sqrt (log (asin a)))) * [exit]simplify: Simplified to (exp (sqrt (log (asin a)))) * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (* (cbrt (asin a)) (cbrt (asin a))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (asin a)) (cbrt (asin a))) * [exit]simplify: Simplified to (* (cbrt (asin a)) (cbrt (asin a))) * [enter]simplify: Simplifying (exp (log (cbrt (asin a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (asin a)) * [exit]simplify: Simplified to (cbrt (asin a)) * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (sqrt (asin a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (asin a)) * [exit]simplify: Simplified to (sqrt (asin a)) * [enter]simplify: Simplifying (exp (log (sqrt (asin a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (asin a)) * [exit]simplify: Simplified to (sqrt (asin a)) * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (exp (log (asin a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (asin a) * [exit]simplify: Simplified to (asin a) * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (log (asin a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (asin a)) * [exit]simplify: Simplified to (log (asin a)) * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (log (asin a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (asin a)) * [exit]simplify: Simplified to (exp (asin a)) * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (log (asin a)))) (cbrt (exp (log (asin a))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (asin a)) (cbrt (asin a))) * [exit]simplify: Simplified to (* (cbrt (asin a)) (cbrt (asin a))) * [enter]simplify: Simplifying (cbrt (exp (log (asin a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (asin a)) * [exit]simplify: Simplified to (cbrt (asin a)) * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (log (asin a))) (exp (log (asin a)))) (exp (log (asin a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (pow (asin a) 3) * [exit]simplify: Simplified to (pow (asin a) 3) * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (log (asin a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (asin a)) * [exit]simplify: Simplified to (sqrt (asin a)) * [enter]simplify: Simplifying (sqrt (exp (log (asin a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (asin a)) * [exit]simplify: Simplified to (sqrt (asin a)) * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (acos a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (acos a) * [exit]simplify: Simplified to (acos a) * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (asin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (asin a)) * [exit]simplify: Simplified to (log (asin a)) * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (asin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (asin a)) * [exit]simplify: Simplified to (exp (asin a)) * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (asin a)) (cbrt (asin a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (asin a)) (cbrt (asin a))) * [exit]simplify: Simplified to (* (cbrt (asin a)) (cbrt (asin a))) * [enter]simplify: Simplifying (cbrt (asin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (asin a)) * [exit]simplify: Simplified to (cbrt (asin a)) * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (asin a) (asin a)) (asin a)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (pow (asin a) 3) * [exit]simplify: Simplified to (pow (asin a) 3) * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (asin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (asin a)) * [exit]simplify: Simplified to (sqrt (asin a)) * [enter]simplify: Simplifying (sqrt (asin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (asin a)) * [exit]simplify: Simplified to (sqrt (asin a)) * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (asin a))) (* a a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (exp (log (asin a))))) (* a a)) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (exp (log (asin a))))) (* a a)) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (exp (log (asin a))))) (* a a)) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (asin a))) (* a a)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (- (/ PI 2) (acos a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (acos a)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (acos a)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (acos a))) into (- (* 1/2 PI) (acos a)) * [misc]backup-simplify: Simplify (- (* 1/2 PI) (acos a)) into (- (* 1/2 PI) (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI) (acos a)) into (- (* 1/2 PI) (acos a)) * [misc]approximate: Taking taylor expansion of (- (/ PI 2) (acos (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (acos (/ 1 a)))) into (- (* 1/2 PI) (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (* 1/2 PI) (acos (/ 1 a))) into (- (* 1/2 PI) (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI) (acos (/ 1 (/ 1 a)))) into (- (* 1/2 PI) (acos a)) * [misc]approximate: Taking taylor expansion of (- (/ PI 2) (acos (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (acos (/ -1 a)))) into (- (* 1/2 PI) (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (* 1/2 PI) (acos (/ -1 a))) into (- (* 1/2 PI) (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI) (acos (/ -1 (/ 1 (- a))))) into (- (* 1/2 PI) (acos a)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (fmod a (- (/ PI 2) (acos a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (fmod a (- (/ PI 2) (acos a))) in a * [misc]backup-simplify: Simplify (fmod a (- (/ PI 2) (acos a))) into (fmod a (- (* 1/2 PI) (acos a))) * [misc]taylor: Taking taylor expansion of (fmod a (- (/ PI 2) (acos a))) in a * [misc]backup-simplify: Simplify (fmod a (- (/ PI 2) (acos a))) into (fmod a (- (* 1/2 PI) (acos a))) * [misc]backup-simplify: Simplify (fmod a (- (* 1/2 PI) (acos a))) into (fmod a (- (* 1/2 PI) (acos a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fmod a (- (* 1/2 PI) (acos a))) into (fmod a (- (* 1/2 PI) (acos a))) * [misc]approximate: Taking taylor expansion of (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a)))) in a * [misc]backup-simplify: Simplify (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a)))) into (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a)))) in a * [misc]backup-simplify: Simplify (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a)))) into (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))) into (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fmod (/ 1 (/ 1 a)) (- (* 1/2 PI) (acos (/ 1 (/ 1 a))))) into (fmod a (- (* 1/2 PI) (acos a))) * [misc]approximate: Taking taylor expansion of (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a))))) in a * [misc]backup-simplify: Simplify (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a))))) into (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a))))) in a * [misc]backup-simplify: Simplify (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a))))) into (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))) * [misc]backup-simplify: Simplify (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))) into (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fmod (/ -1 (/ 1 (- a))) (- (* 1/2 PI) (acos (/ -1 (/ 1 (- a)))))) into (fmod a (- (* 1/2 PI) (acos a))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) in a * [misc]taylor: Taking taylor expansion of (exp (* (* a a) (log (atan (fmod a (- (/ PI 2) (acos a))))))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (log (atan (fmod a (- (/ PI 2) (acos a)))))) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (atan (fmod a (- (/ PI 2) (acos a))))) in a * [misc]taylor: Taking taylor expansion of (atan (fmod a (- (/ PI 2) (acos a)))) in a * [misc]backup-simplify: Simplify (atan (fmod a (- (/ PI 2) (acos a)))) into (atan (fmod a (- (* 1/2 PI) (acos a)))) * [misc]backup-simplify: Simplify (log (atan (fmod a (- (* 1/2 PI) (acos a))))) into (log (atan (fmod a (- (* 1/2 PI) (acos a))))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 (log (atan (fmod a (- (* 1/2 PI) (acos a)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (log (atan (fmod a (- (* 1/2 PI) (acos a))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (log (atan (fmod a (- (* 1/2 PI) (acos a)))))))) into (log (atan (fmod a (- (* 1/2 PI) (acos a))))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) in a * [misc]taylor: Taking taylor expansion of (exp (* (* a a) (log (atan (fmod a (- (/ PI 2) (acos a))))))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (log (atan (fmod a (- (/ PI 2) (acos a)))))) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (atan (fmod a (- (/ PI 2) (acos a))))) in a * [misc]taylor: Taking taylor expansion of (atan (fmod a (- (/ PI 2) (acos a)))) in a * [misc]backup-simplify: Simplify (atan (fmod a (- (/ PI 2) (acos a)))) into (atan (fmod a (- (* 1/2 PI) (acos a)))) * [misc]backup-simplify: Simplify (log (atan (fmod a (- (* 1/2 PI) (acos a))))) into (log (atan (fmod a (- (* 1/2 PI) (acos a))))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 (log (atan (fmod a (- (* 1/2 PI) (acos a)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (log (atan (fmod a (- (* 1/2 PI) (acos a))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (log (atan (fmod a (- (* 1/2 PI) (acos a)))))))) into (log (atan (fmod a (- (* 1/2 PI) (acos a))))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (log (atan (fmod a (- (* 1/2 PI) (acos a))))) 1) 1)))) into (log (atan (fmod a (- (* 1/2 PI) (acos a))))) * [misc]backup-simplify: Simplify (log (atan (fmod a (- (* 1/2 PI) (acos a))))) into (log (atan (fmod a (- (* 1/2 PI) (acos a))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (log (atan (fmod a (- (* 1/2 PI) (acos a))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (log (atan (fmod a (- (* 1/2 PI) (acos a))))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log (atan (fmod a (- (* 1/2 PI) (acos a)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (log (atan (fmod a (- (* 1/2 PI) (acos a))))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (log (atan (fmod a (- (* 1/2 PI) (acos a))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log (atan (fmod a (- (* 1/2 PI) (acos a))))) 2)) * [misc]backup-simplify: Simplify (* 1/2 (pow (log (atan (fmod a (- (* 1/2 PI) (acos a))))) 2)) into (* 1/2 (pow (log (atan (fmod a (- (* 1/2 PI) (acos a))))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (pow (log (atan (fmod a (- (* 1/2 PI) (acos a))))) 2)) (pow a 4)) (+ (* (log (atan (fmod a (- (* 1/2 PI) (acos a))))) (pow a 2)) 1)) into (+ 1 (+ (* 1/2 (* (pow (log (atan (fmod a (- (* 1/2 PI) (acos a))))) 2) (pow a 4))) (* (log (atan (fmod a (- (* 1/2 PI) (acos a))))) (pow a 2)))) * [misc]approximate: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a))))) (* (/ 1 a) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a))))) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (exp (* (* (/ 1 a) (/ 1 a)) (log (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (log (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a))))) in a * [misc]backup-simplify: Simplify (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a))))) into (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (log (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (log (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a))))))) into (log (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (exp (* (* (/ 1 a) (/ 1 a)) (log (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a)))))))) into (exp (/ (log (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a))))) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (exp (* (* (/ 1 a) (/ 1 a)) (log (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (log (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a))))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a))))) in a * [misc]backup-simplify: Simplify (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a))))) into (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (log (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (log (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a))))))) into (log (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (exp (* (* (/ 1 a) (/ 1 a)) (log (atan (fmod (/ 1 a) (- (/ PI 2) (acos (/ 1 a)))))))) into (exp (/ (log (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))))) (pow a 2))) * [misc]backup-simplify: Simplify (exp (/ (log (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))))) (pow a 2))) into (exp (/ (log (atan (fmod (/ 1 a) (- (* 1/2 PI) (acos (/ 1 a)))))) (pow a 2))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ (log (atan (fmod (/ 1 (/ 1 a)) (- (* 1/2 PI) (acos (/ 1 (/ 1 a))))))) (pow (/ 1 a) 2))) into (exp (* (log (atan (fmod a (- (* 1/2 PI) (acos a))))) (pow a 2))) * [misc]approximate: Taking taylor expansion of (pow (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a)))))) (* (/ 1 (- a)) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (pow (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a)))))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (* (/ 1 (- a)) (/ 1 (- a))) (log (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a))))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (log (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a)))))) into (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a))))) * [misc]backup-simplify: Simplify (log (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 (log (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a))))))) into (log (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))))) * [misc]backup-simplify: Simplify (exp (* (* (/ 1 (- a)) (/ 1 (- a))) (log (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a))))))))) into (exp (/ (log (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (pow (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a)))))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (* (/ 1 (- a)) (/ 1 (- a))) (log (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a))))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (log (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a)))))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a)))))) into (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a))))) * [misc]backup-simplify: Simplify (log (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 (log (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a))))))) into (log (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))))) * [misc]backup-simplify: Simplify (exp (* (* (/ 1 (- a)) (/ 1 (- a))) (log (atan (fmod (/ 1 (- a)) (- (/ PI 2) (acos (/ 1 (- a))))))))) into (exp (/ (log (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))))) (pow a 2))) * [misc]backup-simplify: Simplify (exp (/ (log (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))))) (pow a 2))) into (exp (/ (log (atan (fmod (/ -1 a) (- (* 1/2 PI) (acos (/ -1 a)))))) (pow a 2))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ (log (atan (fmod (/ -1 (/ 1 (- a))) (- (* 1/2 PI) (acos (/ -1 (/ 1 (- a)))))))) (pow (/ 1 (- a)) 2))) into (exp (* (log (atan (fmod a (- (* 1/2 PI) (acos a))))) (pow a 2))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (acos a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]approximate: Taking taylor expansion of (acos (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (/ 1 (/ 1 a))) into (acos a) * [misc]approximate: Taking taylor expansion of (acos (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (/ -1 (/ 1 (- a)))) into (acos a) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ PI 2)) (exp (acos a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (exp (- (/ PI 2) (acos a))) * [exit]simplify: Simplified to (exp (- (/ PI 2) (acos a))) * * * * [misc]progress: [ 2 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ PI 2) (acos a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (log (- (/ PI 2) (acos a))) * [exit]simplify: Simplified to (log (- (/ PI 2) (acos a))) * * * * [misc]progress: [ 4 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ PI 2) (acos a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (- (/ PI 2) (acos a))) * [exit]simplify: Simplified to (exp (- (/ PI 2) (acos a))) * * * * [misc]progress: [ 5 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ PI 2) (acos a))) (cbrt (- (/ PI 2) (acos a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI 2) (acos a))) (cbrt (- (/ PI 2) (acos a)))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI 2) (acos a))) (cbrt (- (/ PI 2) (acos a)))) * [enter]simplify: Simplifying (cbrt (- (/ PI 2) (acos a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI 2) (acos a))) * [exit]simplify: Simplified to (cbrt (- (/ PI 2) (acos a))) * * * * [misc]progress: [ 6 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ PI 2) (acos a)) (- (/ PI 2) (acos a))) (- (/ PI 2) (acos a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (pow (- (/ PI 2) (acos a)) 3) * [exit]simplify: Simplified to (pow (- (/ PI 2) (acos a)) 3) * * * * [misc]progress: [ 7 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ PI 2) (acos a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI 2) (acos a))) * [exit]simplify: Simplified to (sqrt (- (/ PI 2) (acos a))) * [enter]simplify: Simplifying (sqrt (- (/ PI 2) (acos a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI 2) (acos a))) * [exit]simplify: Simplified to (sqrt (- (/ PI 2) (acos a))) * * * * [misc]progress: [ 8 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ PI 2) 3) (pow (acos a) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (- (pow (/ PI 2) 3) (pow (acos a) 3)) * [exit]simplify: Simplified to (- (pow (/ PI 2) 3) (pow (acos a) 3)) * [enter]simplify: Simplifying (+ (* (/ PI 2) (/ PI 2)) (+ (* (acos a) (acos a)) (* (/ PI 2) (acos a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (+ (* (+ (/ PI 2) (acos a)) (acos a)) (* (/ PI 2) (/ PI 2))) * [exit]simplify: Simplified to (+ (* (+ (/ PI 2) (acos a)) (acos a)) (* (/ PI 2) (/ PI 2))) * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (acos a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (acos a)) * [exit]simplify: Simplified to (- (acos a)) * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ PI 2) (/ PI 2)) (* (acos a) (acos a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (+ (/ PI 2) (acos a)) (- (/ PI 2) (acos a))) * [exit]simplify: Simplified to (* (+ (/ PI 2) (acos a)) (- (/ PI 2) (acos a))) * [enter]simplify: Simplifying (+ (/ PI 2) (acos a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (acos a) (/ PI 2)) * [exit]simplify: Simplified to (+ (acos a) (/ PI 2)) * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ PI 2)) (sqrt (acos a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (sqrt (acos a)) (sqrt (/ PI 2))) * [exit]simplify: Simplified to (+ (sqrt (acos a)) (sqrt (/ PI 2))) * [enter]simplify: Simplifying (- (sqrt (/ PI 2)) (sqrt (acos a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (/ PI 2)) (sqrt (acos a))) * [exit]simplify: Simplified to (- (sqrt (/ PI 2)) (sqrt (acos a))) * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2) (acos a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (/ PI 2) (acos a)) * [exit]simplify: Simplified to (- (/ PI 2) (acos a)) * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2) (/ PI 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (acos a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (acos a)) * [exit]simplify: Simplified to (- (acos a)) * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fmod a (- (/ PI 2) (acos a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (fmod a (- (/ PI 2) (acos a)))) * [exit]simplify: Simplified to (log (fmod a (- (/ PI 2) (acos a)))) * * * * [misc]progress: [ 18 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fmod a (- (/ PI 2) (acos a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (exp (fmod a (- (/ PI 2) (acos a)))) * [exit]simplify: Simplified to (exp (fmod a (- (/ PI 2) (acos a)))) * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fmod a (- (/ PI 2) (acos a)))) (cbrt (fmod a (- (/ PI 2) (acos a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (fmod a (- (/ PI 2) (acos a)))) (cbrt (fmod a (- (/ PI 2) (acos a))))) * [exit]simplify: Simplified to (* (cbrt (fmod a (- (/ PI 2) (acos a)))) (cbrt (fmod a (- (/ PI 2) (acos a))))) * [enter]simplify: Simplifying (cbrt (fmod a (- (/ PI 2) (acos a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (fmod a (- (/ PI 2) (acos a)))) * [exit]simplify: Simplified to (cbrt (fmod a (- (/ PI 2) (acos a)))) * * * * [misc]progress: [ 20 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fmod a (- (/ PI 2) (acos a))) (fmod a (- (/ PI 2) (acos a)))) (fmod a (- (/ PI 2) (acos a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (pow (fmod a (- (/ PI 2) (acos a))) 3) * [exit]simplify: Simplified to (pow (fmod a (- (/ PI 2) (acos a))) 3) * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fmod a (- (/ PI 2) (acos a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (fmod a (- (/ PI 2) (acos a)))) * [exit]simplify: Simplified to (sqrt (fmod a (- (/ PI 2) (acos a)))) * [enter]simplify: Simplifying (sqrt (fmod a (- (/ PI 2) (acos a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (fmod a (- (/ PI 2) (acos a)))) * [exit]simplify: Simplified to (sqrt (fmod a (- (/ PI 2) (acos a)))) * * * * [misc]progress: [ 22 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (log (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * [exit]simplify: Simplified to (* (log (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (log (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * [exit]simplify: Simplified to (* (log (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (* a a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (* a a) * [exit]simplify: Simplified to (* a a) * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (- (/ PI 2) (acos a)))) a) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (/ PI 2) (acos a)))) a) * [exit]simplify: Simplified to (pow (atan (fmod a (- (/ PI 2) (acos a)))) a) * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (atan (fmod a (- (/ PI 2) (acos a))))) (cbrt (atan (fmod a (- (/ PI 2) (acos a)))))) (* a a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (atan (fmod a (- (/ PI 2) (acos a))))) (cbrt (atan (fmod a (- (/ PI 2) (acos a)))))) (* a a)) * [exit]simplify: Simplified to (pow (* (cbrt (atan (fmod a (- (/ PI 2) (acos a))))) (cbrt (atan (fmod a (- (/ PI 2) (acos a)))))) (* a a)) * [enter]simplify: Simplifying (pow (cbrt (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (cbrt (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * [exit]simplify: Simplified to (pow (cbrt (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sqrt (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * [exit]simplify: Simplified to (pow (sqrt (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * [enter]simplify: Simplifying (pow (sqrt (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sqrt (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * [exit]simplify: Simplified to (pow (sqrt (atan (fmod a (- (/ PI 2) (acos a))))) (* a a)) * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (* a a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) * [exit]simplify: Simplified to (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (* a a) (log (atan (fmod a (- (/ PI 2) (acos a)))))) * [exit]simplify: Simplified to (* (* a a) (log (atan (fmod a (- (/ PI 2) (acos a)))))) * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (exp (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * [exit]simplify: Simplified to (exp (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) (cbrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) (cbrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)))) * [exit]simplify: Simplified to (* (cbrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) (cbrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)))) * [enter]simplify: Simplifying (cbrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * [exit]simplify: Simplified to (cbrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (pow (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) 3) * [exit]simplify: Simplified to (pow (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) 3) * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * [exit]simplify: Simplified to (sqrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * [enter]simplify: Simplifying (sqrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * [exit]simplify: Simplified to (sqrt (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a))) * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (asin a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (asin a) * [exit]simplify: Simplified to (asin a) * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (acos a)) * [exit]simplify: Simplified to (log (acos a)) * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (acos a)) * [exit]simplify: Simplified to (exp (acos a)) * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (acos a)) (cbrt (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (acos a)) (cbrt (acos a))) * [exit]simplify: Simplified to (* (cbrt (acos a)) (cbrt (acos a))) * [enter]simplify: Simplifying (cbrt (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (acos a)) * [exit]simplify: Simplified to (cbrt (acos a)) * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (acos a) (acos a)) (acos a)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (pow (acos a) 3) * [exit]simplify: Simplified to (pow (acos a) 3) * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (acos a)) * [exit]simplify: Simplified to (sqrt (acos a)) * [enter]simplify: Simplifying (sqrt (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (acos a)) * [exit]simplify: Simplified to (sqrt (acos a)) * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) (* a a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (* PI 1/2) (acos a)))) (* a a)) * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) (* a a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (* PI 1/2) (acos a)))) (* a a)) * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) (* a a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (* PI 1/2) (acos a)))) (* a a)) * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) (* a a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (* PI 1/2) (acos a)))) (* a a)) * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) (* a a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (* PI 1/2) (acos a)))) (* a a)) * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (- (* 1/2 PI) (acos a)))) (* a a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (* PI 1/2) (acos a)))) (* a a)) * * * * [misc]progress: [ 51 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (+ (* 1/2 (* (pow (log (atan (fmod a (- (* 1/2 PI) (acos a))))) 2) (pow a 4))) (* (log (atan (fmod a (- (* 1/2 PI) (acos a))))) (pow a 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (+ (* (* (log (atan (fmod a (- (* PI 1/2) (acos a))))) 1/2) (* (pow a 4) (log (atan (fmod a (- (* PI 1/2) (acos a))))))) (+ 1 (* (log (atan (fmod a (- (* PI 1/2) (acos a))))) (* a a)))) * * * * [misc]progress: [ 52 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (log (atan (fmod a (- (* 1/2 PI) (acos a))))) (pow a 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (* PI 1/2) (acos a)))) (* a a)) * * * * [misc]progress: [ 53 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (log (atan (fmod a (- (* 1/2 PI) (acos a))))) (pow a 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (* PI 1/2) (acos a)))) (* a a)) * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) * * * * [misc]progress: [ 55 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (pow (atan (fmod a (- (/ PI 2) (acos a)))) (* a a)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (pow (atan (fmod a (asin a))) (* a a)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (log (asin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (asin a)) * [exit]simplify: Simplified to (log (asin a)) * * * * [misc]points: Sampling 8010 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing 8010 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5966 additional inputs, on iter 1 have 2044 / 8000 * * * * [misc]points: Computing 5966 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4537 additional inputs, on iter 2 have 3473 / 8000 * * * * [misc]points: Computing 4537 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3448 additional inputs, on iter 3 have 4562 / 8000 * * * * [misc]points: Computing 3448 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2583 additional inputs, on iter 4 have 5427 / 8000 * * * * [misc]points: Computing 2583 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1938 additional inputs, on iter 5 have 6072 / 8000 * * * * [misc]points: Computing 1938 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1505 additional inputs, on iter 6 have 6505 / 8000 * * * * [misc]points: Computing 1505 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1137 additional inputs, on iter 7 have 6873 / 8000 * * * * [misc]points: Computing 1137 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 862 additional inputs, on iter 8 have 7148 / 8000 * * * * [misc]points: Computing 862 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 624 additional inputs, on iter 9 have 7386 / 8000 * * * * [misc]points: Computing 624 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 441 additional inputs, on iter 10 have 7569 / 8000 * * * * [misc]points: Computing 441 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 344 additional inputs, on iter 11 have 7666 / 8000 * * * * [misc]points: Computing 344 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 262 additional inputs, on iter 12 have 7748 / 8000 * * * * [misc]points: Computing 262 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 202 additional inputs, on iter 13 have 7808 / 8000 * * * * [misc]points: Computing 202 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 139 additional inputs, on iter 14 have 7871 / 8000 * * * * [misc]points: Computing 139 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 114 additional inputs, on iter 15 have 7896 / 8000 * * * * [misc]points: Computing 114 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 90 additional inputs, on iter 16 have 7920 / 8000 * * * * [misc]points: Computing 90 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 67 additional inputs, on iter 17 have 7943 / 8000 * * * * [misc]points: Computing 67 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 55 additional inputs, on iter 18 have 7955 / 8000 * * * * [misc]points: Computing 55 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 44 additional inputs, on iter 19 have 7966 / 8000 * * * * [misc]points: Computing 44 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 36 additional inputs, on iter 20 have 7974 / 8000 * * * * [misc]points: Computing 36 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 29 additional inputs, on iter 21 have 7981 / 8000 * * * * [misc]points: Computing 29 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 24 additional inputs, on iter 22 have 7986 / 8000 * * * * [misc]points: Computing 24 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 23 have 7994 / 8000 * * * * [misc]points: Computing 16 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 24 have 7997 / 8000 * * * * [misc]points: Computing 13 additional correct outputs * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs